Task: Arithmetic-Relationship (source dataset: Auto-Relate)

You are given a table with numerical values in multiple columns. Your task is to analyze the data and identify semantic relationships, expressed in arithmetic relationships, that exist between columns.

These relationships may involve any combination of the following operations: addition (+), subtraction (−), multiplication (*), and division (/). The expressions can involve two or more columns and may be nested (e.g., B = (A + C) / D).

Please only identify arithmetic relationships that hold semantically based on the data, and do not return relationships that are likely spurious, e.g., (A = B * 0), where A is an all 0 column. Please only return minimal atomic relationships, e.g., if A = B + C and D = E + F, then there is no need to return A = B + C + E + F - D.

No explanation, return all the formula(s) in JSON format: {"Arithmetic-Relationship": [<list-of-formulas>]}. If no relationship is found, return {"Arithmetic-Relationship": []}.

Input Table:
|   A |       B |        C |       D |      E |
|----:|--------:|---------:|--------:|-------:|
|   1 | 1656.61 | 1312.5   | 344.111 | 299656 |
|   2 | 1656.61 | 1310.99  | 345.617 | 299310 |
|   3 | 1656.61 | 1309.48  | 347.129 | 298963 |
|   4 | 1656.61 | 1307.96  | 348.647 | 298614 |
|   5 | 1656.61 | 1306.44  | 350.173 | 298264 |
|   6 | 1656.61 | 1304.91  | 351.705 | 297913 |
|   7 | 1656.61 | 1303.37  | 353.243 | 297559 |
|   8 | 1656.61 | 1301.82  | 354.789 | 297205 |
|   9 | 1656.61 | 1300.27  | 356.341 | 296848 |
|  10 | 1656.61 | 1298.71  | 357.9   | 296490 |
|  11 | 1656.61 | 1297.15  | 359.466 | 296131 |
|  12 | 1656.61 | 1295.57  | 361.039 | 295770 |
|  13 | 1656.61 | 1293.99  | 362.618 | 295407 |
|  14 | 1656.61 | 1292.41  | 364.205 | 295043 |
|  15 | 1656.61 | 1290.81  | 365.798 | 294677 |
|  16 | 1656.61 | 1289.21  | 367.398 | 294310 |
|  17 | 1656.61 | 1287.61  | 369.006 | 293941 |
|  18 | 1656.61 | 1285.99  | 370.62  | 293570 |
|  19 | 1656.61 | 1284.37  | 372.241 | 293198 |
|  20 | 1656.61 | 1282.74  | 373.87  | 292824 |
|  21 | 1656.61 | 1281.11  | 375.506 | 292449 |
|  22 | 1656.61 | 1279.46  | 377.149 | 292071 |
|  23 | 1656.61 | 1277.81  | 378.799 | 291693 |
|  24 | 1656.61 | 1276.16  | 380.456 | 291312 |
|  25 | 1656.61 | 1274.49  | 382.12  | 290930 |
|  26 | 1656.61 | 1272.82  | 383.792 | 290546 |
|  27 | 1656.61 | 1271.14  | 385.471 | 290161 |
|  28 | 1656.61 | 1269.45  | 387.158 | 289774 |
|  29 | 1656.61 | 1267.76  | 388.851 | 289385 |
|  30 | 1656.61 | 1266.06  | 390.553 | 288994 |
|  31 | 1656.61 | 1264.35  | 392.261 | 288602 |
|  32 | 1656.61 | 1262.63  | 393.977 | 288208 |
|  33 | 1656.61 | 1260.91  | 395.701 | 287812 |
|  34 | 1656.61 | 1259.18  | 397.432 | 287415 |
|  35 | 1656.61 | 1257.44  | 399.171 | 287016 |
|  36 | 1656.61 | 1255.69  | 400.917 | 286615 |
|  37 | 1656.61 | 1253.94  | 402.671 | 286212 |
|  38 | 1656.61 | 1252.18  | 404.433 | 285808 |
|  39 | 1656.61 | 1250.41  | 406.203 | 285401 |
|  40 | 1656.61 | 1248.63  | 407.98  | 284993 |
|  41 | 1656.61 | 1246.85  | 409.765 | 284584 |
|  42 | 1656.61 | 1245.05  | 411.557 | 284172 |
|  43 | 1656.61 | 1243.25  | 413.358 | 283759 |
|  44 | 1656.61 | 1241.44  | 415.166 | 283344 |
|  45 | 1656.61 | 1239.63  | 416.983 | 282927 |
|  46 | 1656.61 | 1237.8   | 418.807 | 282508 |
|  47 | 1656.61 | 1235.97  | 420.639 | 282087 |
|  48 | 1656.61 | 1234.13  | 422.48  | 281665 |
|  49 | 1656.61 | 1232.28  | 424.328 | 281240 |
|  50 | 1656.61 | 1230.43  | 426.184 | 280814 |
|  51 | 1656.61 | 1228.56  | 428.049 | 280386 |
|  52 | 1656.61 | 1226.69  | 429.922 | 279956 |
|  53 | 1656.61 | 1224.81  | 431.803 | 279524 |
|  54 | 1656.61 | 1222.92  | 433.692 | 279091 |
|  55 | 1656.61 | 1221.02  | 435.589 | 278655 |
|  56 | 1656.61 | 1219.12  | 437.495 | 278218 |
|  57 | 1656.61 | 1217.2   | 439.409 | 277778 |
|  58 | 1656.61 | 1215.28  | 441.331 | 277337 |
|  59 | 1656.61 | 1213.35  | 443.262 | 276894 |
|  60 | 1656.61 | 1211.41  | 445.201 | 276448 |
|  61 | 1656.61 | 1209.46  | 447.149 | 276001 |
|  62 | 1656.61 | 1207.51  | 449.105 | 275552 |
|  63 | 1656.61 | 1205.54  | 451.07  | 275101 |
|  64 | 1656.61 | 1203.57  | 453.044 | 274648 |
|  65 | 1656.61 | 1201.59  | 455.026 | 274193 |
|  66 | 1656.61 | 1199.59  | 457.016 | 273736 |
|  67 | 1656.61 | 1197.6   | 459.016 | 273277 |
|  68 | 1656.61 | 1195.59  | 461.024 | 272816 |
|  69 | 1656.61 | 1193.57  | 463.041 | 272353 |
|  70 | 1656.61 | 1191.54  | 465.067 | 271888 |
|  71 | 1656.61 | 1189.51  | 467.102 | 271421 |
|  72 | 1656.61 | 1187.47  | 469.145 | 270952 |
|  73 | 1656.61 | 1185.41  | 471.198 | 270480 |
|  74 | 1656.61 | 1183.35  | 473.259 | 270007 |
|  75 | 1656.61 | 1181.28  | 475.33  | 269532 |
|  76 | 1656.61 | 1179.2   | 477.409 | 269054 |
|  77 | 1656.61 | 1177.11  | 479.498 | 268575 |
|  78 | 1656.61 | 1175.02  | 481.596 | 268093 |
|  79 | 1656.61 | 1172.91  | 483.703 | 267610 |
|  80 | 1656.61 | 1170.79  | 485.819 | 267124 |
|  81 | 1656.61 | 1168.67  | 487.944 | 266636 |
|  82 | 1656.61 | 1166.53  | 490.079 | 266146 |
|  83 | 1656.61 | 1164.39  | 492.223 | 265654 |
|  84 | 1656.61 | 1162.23  | 494.377 | 265159 |
|  85 | 1656.61 | 1160.07  | 496.539 | 264663 |
|  86 | 1656.61 | 1157.9   | 498.712 | 264164 |
|  87 | 1656.61 | 1155.72  | 500.894 | 263663 |
|  88 | 1656.61 | 1153.53  | 503.085 | 263160 |
|  89 | 1656.61 | 1151.32  | 505.286 | 262655 |
|  90 | 1656.61 | 1149.11  | 507.497 | 262147 |
|  91 | 1656.61 | 1146.89  | 509.717 | 261637 |
|  92 | 1656.61 | 1144.66  | 511.947 | 261126 |
|  93 | 1656.61 | 1142.42  | 514.187 | 260611 |
|  94 | 1656.61 | 1140.17  | 516.436 | 260095 |
|  95 | 1656.61 | 1137.92  | 518.696 | 259576 |
|  96 | 1656.61 | 1135.65  | 520.965 | 259055 |
|  97 | 1656.61 | 1133.37  | 523.244 | 258532 |
|  98 | 1656.61 | 1131.08  | 525.534 | 258006 |
|  99 | 1656.61 | 1128.78  | 527.833 | 257479 |
| 100 | 1656.61 | 1126.47  | 530.142 | 256949 |
| 101 | 1656.61 | 1124.15  | 532.461 | 256416 |
| 102 | 1656.61 | 1121.82  | 534.791 | 255881 |
| 103 | 1656.61 | 1119.48  | 537.131 | 255344 |
| 104 | 1656.61 | 1117.13  | 539.481 | 254805 |
| 105 | 1656.61 | 1114.77  | 541.841 | 254263 |
| 106 | 1656.61 | 1112.4   | 544.211 | 253719 |
| 107 | 1656.61 | 1110.02  | 546.592 | 253172 |
| 108 | 1656.61 | 1107.63  | 548.984 | 252623 |
| 109 | 1656.61 | 1105.23  | 551.385 | 252072 |
| 110 | 1656.61 | 1102.81  | 553.798 | 251518 |
| 111 | 1656.61 | 1100.39  | 556.221 | 250962 |
| 112 | 1656.61 | 1097.96  | 558.654 | 250403 |
| 113 | 1656.61 | 1095.51  | 561.098 | 249842 |
| 114 | 1656.61 | 1093.06  | 563.553 | 249278 |
| 115 | 1656.61 | 1090.59  | 566.018 | 248712 |
| 116 | 1656.61 | 1088.12  | 568.495 | 248144 |
| 117 | 1656.61 | 1085.63  | 570.982 | 247573 |
| 118 | 1656.61 | 1083.13  | 573.48  | 246999 |
| 119 | 1656.61 | 1080.62  | 575.989 | 246423 |
| 120 | 1656.61 | 1078.1   | 578.509 | 245845 |
| 121 | 1656.61 | 1075.57  | 581.04  | 245264 |
| 122 | 1656.61 | 1073.03  | 583.582 | 244680 |
| 123 | 1656.61 | 1070.48  | 586.135 | 244094 |
| 124 | 1656.61 | 1067.91  | 588.699 | 243505 |
| 125 | 1656.61 | 1065.34  | 591.275 | 242914 |
| 126 | 1656.61 | 1062.75  | 593.862 | 242320 |
| 127 | 1656.61 | 1060.15  | 596.46  | 241724 |
| 128 | 1656.61 | 1057.54  | 599.07  | 241125 |
| 129 | 1656.61 | 1054.92  | 601.69  | 240523 |
| 130 | 1656.61 | 1052.29  | 604.323 | 239919 |
| 131 | 1656.61 | 1049.64  | 606.967 | 239312 |
| 132 | 1656.61 | 1046.99  | 609.622 | 238702 |
| 133 | 1656.61 | 1044.32  | 612.289 | 238090 |
| 134 | 1656.61 | 1041.64  | 614.968 | 237475 |
| 135 | 1656.61 | 1038.95  | 617.659 | 236857 |
| 136 | 1656.61 | 1036.25  | 620.361 | 236237 |
| 137 | 1656.61 | 1033.54  | 623.075 | 235614 |
| 138 | 1656.61 | 1030.81  | 625.801 | 234988 |
| 139 | 1656.61 | 1028.07  | 628.539 | 234359 |
| 140 | 1656.61 | 1025.32  | 631.289 | 233728 |
| 141 | 1656.61 | 1022.56  | 634.051 | 233094 |
| 142 | 1656.61 | 1019.79  | 636.824 | 232457 |
| 143 | 1656.61 | 1017     | 639.611 | 231818 |
| 144 | 1656.61 | 1014.2   | 642.409 | 231175 |
| 145 | 1656.61 | 1011.39  | 645.219 | 230530 |
| 146 | 1656.61 | 1008.57  | 648.042 | 229882 |
| 147 | 1656.61 | 1005.73  | 650.877 | 229231 |
| 148 | 1656.61 | 1002.89  | 653.725 | 228577 |
| 149 | 1656.61 | 1000.03  | 656.585 | 227921 |
| 150 | 1656.61 |  997.153 | 659.458 | 227261 |
| 151 | 1656.61 |  994.268 | 662.343 | 226599 |
| 152 | 1656.61 |  991.371 | 665.241 | 225934 |
| 153 | 1656.61 |  988.46  | 668.151 | 225266 |
| 154 | 1656.61 |  985.537 | 671.074 | 224595 |
| 155 | 1656.61 |  982.601 | 674.01  | 223921 |
| 156 | 1656.61 |  979.652 | 676.959 | 223244 |
| 157 | 1656.61 |  976.691 | 679.921 | 222564 |
| 158 | 1656.61 |  973.716 | 682.895 | 221881 |
| 159 | 1656.61 |  970.728 | 685.883 | 221195 |
| 160 | 1656.61 |  967.727 | 688.884 | 220506 |
| 161 | 1656.61 |  964.714 | 691.897 | 219814 |
| 162 | 1656.61 |  961.687 | 694.925 | 219119 |
| 163 | 1656.61 |  958.646 | 697.965 | 218421 |
| 164 | 1656.61 |  955.593 | 701.018 | 217720 |
| 165 | 1656.61 |  952.526 | 704.085 | 217016 |
| 166 | 1656.61 |  949.445 | 707.166 | 216309 |
| 167 | 1656.61 |  946.352 | 710.26  | 215599 |
| 168 | 1656.61 |  943.244 | 713.367 | 214885 |
| 169 | 1656.61 |  940.123 | 716.488 | 214169 |
| 170 | 1656.61 |  936.989 | 719.623 | 213449 |
| 171 | 1656.61 |  933.84  | 722.771 | 212726 |
| 172 | 1656.61 |  930.678 | 725.933 | 212000 |
| 173 | 1656.61 |  927.502 | 729.109 | 211271 |
| 174 | 1656.61 |  924.312 | 732.299 | 210539 |
| 175 | 1656.61 |  921.108 | 735.503 | 209804 |
| 176 | 1656.61 |  917.891 | 738.721 | 209065 |
| 177 | 1656.61 |  914.659 | 741.952 | 208323 |
| 178 | 1656.61 |  911.413 | 745.198 | 207578 |
| 179 | 1656.61 |  908.152 | 748.459 | 206829 |
| 180 | 1656.61 |  904.878 | 751.733 | 206078 |
| 181 | 1656.61 |  901.589 | 755.022 | 205322 |
| 182 | 1656.61 |  898.286 | 758.325 | 204564 |
| 183 | 1656.61 |  894.968 | 761.643 | 203803 |
| 184 | 1656.61 |  891.636 | 764.975 | 203038 |
| 185 | 1656.61 |  888.289 | 768.322 | 202269 |
| 186 | 1656.61 |  884.928 | 771.683 | 201498 |
| 187 | 1656.61 |  881.552 | 775.059 | 200722 |
| 188 | 1656.61 |  878.161 | 778.45  | 199944 |
| 189 | 1656.61 |  874.755 | 781.856 | 199162 |
| 190 | 1656.61 |  871.334 | 785.277 | 198377 |
| 191 | 1656.61 |  867.899 | 788.712 | 197588 |
| 192 | 1656.61 |  864.448 | 792.163 | 196796 |
| 193 | 1656.61 |  860.983 | 795.629 | 196000 |
| 194 | 1656.61 |  857.502 | 799.109 | 195201 |
| 195 | 1656.61 |  854.006 | 802.606 | 194399 |
| 196 | 1656.61 |  850.494 | 806.117 | 193593 |
| 197 | 1656.61 |  846.967 | 809.644 | 192783 |
| 198 | 1656.61 |  843.425 | 813.186 | 191970 |
| 199 | 1656.61 |  839.868 | 816.744 | 191153 |
| 200 | 1656.61 |  836.294 | 820.317 | 190333 |
| 201 | 1656.61 |  832.705 | 823.906 | 189509 |
| 202 | 1656.61 |  829.101 | 827.51  | 188681 |
| 203 | 1656.61 |  825.48  | 831.131 | 187850 |
| 204 | 1656.61 |  821.844 | 834.767 | 187015 |
| 205 | 1656.61 |  818.192 | 838.419 | 186177 |
| 206 | 1656.61 |  814.524 | 842.087 | 185335 |
| 207 | 1656.61 |  810.84  | 845.771 | 184489 |
| 208 | 1656.61 |  807.14  | 849.471 | 183640 |
| 209 | 1656.61 |  803.423 | 853.188 | 182786 |
| 210 | 1656.61 |  799.691 | 856.921 | 181929 |
| 211 | 1656.61 |  795.942 | 860.67  | 181069 |
| 212 | 1656.61 |  792.176 | 864.435 | 180204 |
| 213 | 1656.61 |  788.394 | 868.217 | 179336 |
| 214 | 1656.61 |  784.596 | 872.015 | 178464 |
| 215 | 1656.61 |  780.781 | 875.83  | 177588 |
| 216 | 1656.61 |  776.949 | 879.662 | 176709 |
| 217 | 1656.61 |  773.1   | 883.511 | 175825 |
| 218 | 1656.61 |  769.235 | 887.376 | 174938 |
| 219 | 1656.61 |  765.353 | 891.258 | 174047 |
| 220 | 1656.61 |  761.454 | 895.158 | 173151 |
| 221 | 1656.61 |  757.537 | 899.074 | 172252 |
| 222 | 1656.61 |  753.604 | 903.007 | 171349 |
| 223 | 1656.61 |  749.653 | 906.958 | 170442 |
| 224 | 1656.61 |  745.685 | 910.926 | 169531 |
| 225 | 1656.61 |  741.7   | 914.911 | 168616 |
| 226 | 1656.61 |  737.697 | 918.914 | 167698 |
| 227 | 1656.61 |  733.677 | 922.934 | 166775 |
| 228 | 1656.61 |  729.639 | 926.972 | 165848 |
| 229 | 1656.61 |  725.584 | 931.028 | 164917 |
| 230 | 1656.61 |  721.51  | 935.101 | 163982 |
| 231 | 1656.61 |  717.419 | 939.192 | 163042 |
| 232 | 1656.61 |  713.31  | 943.301 | 162099 |
| 233 | 1656.61 |  709.183 | 947.428 | 161152 |
| 234 | 1656.61 |  705.038 | 951.573 | 160200 |
| 235 | 1656.61 |  700.875 | 955.736 | 159244 |
| 236 | 1656.61 |  696.694 | 959.917 | 158284 |
| 237 | 1656.61 |  692.494 | 964.117 | 157320 |
| 238 | 1656.61 |  688.276 | 968.335 | 156352 |
| 239 | 1656.61 |  684.04  | 972.571 | 155379 |
| 240 | 1656.61 |  679.785 | 976.826 | 154403 |
| 241 | 1656.61 |  675.511 | 981.1   | 153421 |
| 242 | 1656.61 |  671.219 | 985.392 | 152436 |
| 243 | 1656.61 |  666.908 | 989.703 | 151446 |
| 244 | 1656.61 |  662.578 | 994.033 | 150452 |



label: D=B-C
labeled_formulas: D=B-C
output: {"Arithmetic-Relationship": ["D=B-C"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_635867___xlsx_f7d42ccd9c6bdbb0383aaccd09774cca74fe1318.xlsx___line_772