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 |   F |     G |    H |     I | J           |      K |      L | M      | N    |
|------:|----------:|------:|----:|-----:|----:|------:|-----:|------:|:------------|-------:|-------:|:-------|:-----|
| 74562 | 321782506 | 42802 | 131 |  100 |  15 |  1500 |  200 |  1700 | feng42      | 323205 | 774805 | Net 60 | none |
| 21775 | 658314729 | 42802 | 132 |   50 |  15 |   750 |  100 |   850 | feng42      | 405605 | 665014 | Net 15 | 0.05 |
| 65075 | 658314729 | 42808 | 133 |   50 |  15 |   750 |  100 |   850 | feng42      | 650351 | 205068 | Net 15 | 0.05 |
| 54055 | 504796147 | 42808 | 134 |   50 |  15 |   750 |  100 |   850 | feng42      | 795652 | 700656 | Net 10 | 0.05 |
| 30892 | 640498345 | 42802 | 250 |  200 |  20 |  4000 |  400 |  4400 | feng42      | 749207 | 985084 | Net 60 | 0.05 |
| 31598 | 114058620 | 42804 | 251 |  300 |  20 |  6000 |  600 |  6600 | feng42      | 998053 | 146505 | Net 30 | none |
| 10547 | 842895157 | 42808 | 252 |  200 |  20 |  4000 |  400 |  4400 | feng42      | 798350 | 606807 | Net 30 | none |
| 48905 | 912086047 | 42809 | 253 |  600 |  20 | 12000 | 1200 | 13200 | feng42      | 504377 | 420447 | Net 60 | none |
| 98446 | 667057064 | 42801 | 254 |  500 |  20 | 10000 | 1000 | 11000 | feng42      | 410560 | 980752 | Net 15 | 0.05 |
| 34870 | 508089512 | 42804 | 255 |  500 |  20 | 10000 | 1000 | 11000 | feng42      | 540576 | 950400 | Net 10 | none |
| 90453 | 504796147 | 42804 | 256 | 2000 |  20 | 40000 | 4000 | 44000 | evans45     | 132086 | 110501 | Net 10 | 0.05 |
| 70648 | 912086047 | 42804 | 257 | 1500 |  20 | 30000 | 3000 | 33000 | evans45     | 321460 | 607802 | Net 60 | none |
| 11018 | 321782506 | 42809 | 320 |  400 |  30 | 12000 |  800 | 12800 | evans45     | 305403 | 654650 | Net 60 | none |
| 15498 | 108906507 | 42809 | 321 |  450 |  30 | 13500 |  900 | 14400 | evans45     | 609327 | 906503 | Net 10 | none |
| 57805 | 504796147 | 42809 | 322 |  450 |  30 | 13500 |  900 | 14400 | evans45     | 650899 | 980605 | Net 10 | 0.05 |
| 70540 | 658314729 | 42801 | 440 |  100 |  25 |  2500 |  200 |  2700 | evans45     | 989301 | 885240 | Net 15 | 0.05 |
| 46570 | 842895157 | 42801 | 441 |  400 |  25 | 10000 |  800 | 10800 | evans45     | 321086 | 220350 | Net 30 | none |
| 60873 | 640498345 | 42804 | 442 |  400 |  25 | 10000 |  800 | 10800 | evans45     | 608706 | 995065 | Net 60 | 0.05 |
| 54891 | 321782506 | 42808 | 570 |   75 |  10 |   750 |  150 |   900 | evans45     | 980052 | 306560 | Net 60 | none |
| 51869 | 508089512 | 42801 | 571 |  150 |  10 |  1500 |  300 |  1800 | evans45     | 654255 | 306504 | Net 10 | none |
| 20756 | 508089512 | 42801 | 572 |  150 |  10 |  1500 |  300 |  1800 | evans45     | 669521 | 201050 | Net 10 | none |
| 10298 | 842895157 | 42801 | 573 |   75 |  10 |   750 |  150 |   900 | evans45     | 891247 | 302090 | Net 30 | none |
| 13354 | 508089512 | 42801 | 574 |   75 |  10 |   750 |  150 |   900 | evans45     | 880320 | 305408 | Net 10 | none |
| 98631 | 658314729 | 42801 | 575 |   75 |  10 |   750 |  150 |   900 | evans45     | 808604 | 668071 | Net 15 | 0.05 |
| 45204 | 508089512 | 42802 | 576 |   75 |  10 |   750 |  150 |   900 | evans45     | 332556 | 305038 | Net 10 | none |
| 70554 | 912086047 | 42804 | 577 |   75 |  10 |   750 |  150 |   900 | evans45     | 980350 | 605068 | Net 60 | none |
| 70015 | 912086047 | 42808 | 131 |   60 |  15 |   900 |  120 |  1020 | tang78      | 506795 | 996055 | Net 60 | none |
| 65480 | 912086047 | 42809 | 132 |  120 |  15 |  1800 |  240 |  2040 | tang78      | 894632 | 160530 | Net 60 | none |
| 30574 | 504796147 | 42809 | 133 |  160 |  15 |  2400 |  320 |  2720 | tang78      | 641589 | 775041 | Net 10 | 0.05 |
| 65076 | 667057064 | 42802 | 134 |  160 |  15 |  2400 |  320 |  2720 | tang78      | 223149 | 335047 | Net 15 | 0.05 |
| 51182 | 114058620 | 42802 | 250 |  400 |  20 |  8000 |  800 |  8800 | tang78      | 283649 | 421963 | Net 30 | none |
| 77875 | 560191569 | 42808 | 251 |  500 |  20 | 10000 | 1000 | 11000 | tang78      | 577616 | 903553 | Net 30 | none |
| 93499 | 484071188 | 42808 | 252 |  500 |  20 | 10000 | 1000 | 11000 | tang78      | 517699 | 490474 | Net 10 | none |
| 84543 | 246761437 | 42802 | 253 | 2000 |  20 | 40000 | 4000 | 44000 | tang78      | 947560 | 550513 | Net 60 | none |
| 87363 | 838679702 | 42804 | 254 | 4000 |  20 | 80000 | 8000 | 88000 | tang78      | 450055 | 326574 | Net 60 | none |
| 52581 | 145751240 | 42808 | 255 | 3000 |  20 | 60000 | 6000 | 66000 | tang78      | 241754 | 888176 | Net 30 | 0.05 |
| 99505 | 398064250 | 42809 | 256 | 4000 |  20 | 80000 | 8000 | 88000 | song99      | 839886 | 400848 | Net 10 | 0.05 |
| 86366 | 835731031 | 42801 | 257 | 1000 |  20 | 20000 | 2000 | 22000 | song99      | 777700 | 233648 | Net 60 | none |
| 69988 | 949644180 | 42804 | 320 |   60 |  30 |  1800 |  120 |  1920 | song99      | 455839 | 657405 | Net 60 | none |
| 58853 | 525911359 | 42804 | 321 |   60 |  30 |  1800 |  120 |  1920 | song99      | 383349 | 631528 | Net 10 | none |
| 43146 | 573426003 | 42804 | 322 |   60 |  30 |  1800 |  120 |  1920 | song99      | 355971 | 508724 | Net 10 | none |
| 11879 | 761344326 | 42809 | 440 |   45 |  25 |  1125 |   90 |  1215 | song99      | 511568 | 608445 | Net 15 | none |
| 67612 | 266304285 | 42809 | 441 |   50 |  25 |  1250 |  100 |  1350 | song99      | 711945 | 378076 | Net 30 | 0.05 |
| 92493 | 453904299 | 42809 | 442 |   75 |  25 |  1875 |  150 |  2025 | song99      | 642027 | 733501 | Net 10 | none |
| 72371 | 189185611 | 42801 | 570 |  150 |  10 |  1500 |  300 |  1800 | song99      | 626749 | 911798 | Net 10 | 0.05 |
| 25203 | 311488387 | 42801 | 571 |  200 |  10 |  2000 |  400 |  2400 | song99      | 234101 | 849906 | Net 15 | none |
| 82392 | 743296602 | 42804 | 572 |  200 |  10 |  2000 |  400 |  2400 | song99      | 343572 | 484867 | Net 30 | 0.05 |
| 18523 | 886855566 | 42808 | 573 |  100 |  10 |  1000 |  200 |  1200 | song99      | 136556 | 171088 | Net 60 | none |
| 92746 | 180683546 | 42801 | 574 |   75 |  10 |   750 |  150 |   900 | song99      | 592472 | 627590 | Net 30 | none |
| 90870 | 625430903 | 42801 | 575 |  100 |  10 |  1000 |  200 |  1200 | song99      | 454150 | 466692 | Net 10 | none |
| 38535 | 636531627 | 42801 | 576 |   75 |  10 |   750 |  150 |   900 | song99      | 646490 | 220595 | Net 60 | none |
| 37945 | 145751240 | 42801 | 577 |   75 |  10 |   750 |  150 |   900 | song99      | 540782 | 630399 | Net 30 | 0.05 |
| 78884 | 949644180 | 42801 | 131 |  450 |  15 |  6750 |  900 |  7650 | angelon33   | 672029 | 419203 | Net 60 | none |
| 56971 | 180683546 | 42802 | 132 |  500 |  15 |  7500 | 1000 |  8500 | angelon33   | 938749 | 948037 | Net 30 | none |
| 13836 | 625430903 | 42804 | 133 |  500 |  15 |  7500 | 1000 |  8500 | angelon33   | 212257 | 350157 | Net 10 | none |
| 41510 | 145751240 | 42808 | 134 |  500 |  15 |  7500 | 1000 |  8500 | angelon33   | 662797 | 730615 | Net 30 | 0.05 |
| 16515 | 842895157 | 42809 | 250 |   25 |  20 |   500 |   50 |   550 | angelon33   | 831855 | 877919 | Net 30 | none |
| 64930 | 508089512 | 42809 | 251 |   25 |  20 |   500 |   50 |   550 | angelon33   | 540429 | 852032 | Net 10 | none |
| 64270 | 658314729 | 42802 | 252 |   25 |  20 |   500 |   50 |   550 | angelon33   | 621406 | 159338 | Net 15 | 0.05 |
| 57320 | 508089512 | 42802 | 253 |  100 |  20 |  2000 |  200 |  2200 | angelon33   | 872673 | 629485 | Net 10 | none |
| 23564 | 266304285 | 42808 | 254 |  250 |  20 |  5000 |  500 |  5500 | angelon33   | 140814 | 384074 | Net 30 | 0.05 |
| 81849 | 453904299 | 42808 | 255 |  250 |  20 |  5000 |  500 |  5500 | angelon33   | 551885 | 648746 | Net 10 | none |
| 99319 | 189185611 | 42802 | 256 |  250 |  20 |  5000 |  500 |  5500 | angelon33   | 427158 | 530028 | Net 10 | 0.05 |
| 27488 | 311488387 | 42804 | 257 |   45 |  20 |   900 |   90 |   990 | hernandez56 | 676707 | 128595 | Net 15 | none |
| 55228 | 453904299 | 42808 | 320 |   90 |  30 |  2700 |  180 |  2880 | hernandez56 | 682857 | 777694 | Net 10 | none |
| 83963 | 453904299 | 42809 | 321 |  100 |  30 |  3000 |  200 |  3200 | hernandez56 | 289016 | 758803 | Net 10 | none |
| 98724 | 949644180 | 42801 | 322 |  100 |  30 |  3000 |  200 |  3200 | hernandez56 | 129602 | 190129 | Net 60 | none |
| 38062 | 266304285 | 42804 | 440 |   75 |  25 |  1875 |  150 |  2025 | hernandez56 | 697511 | 815548 | Net 30 | 0.05 |
| 98450 | 453904299 | 42804 | 441 |   75 |  25 |  1875 |  150 |  2025 | hernandez56 | 858617 | 661535 | Net 10 | none |
| 28804 | 453904299 | 42804 | 442 |   75 |  25 |  1875 |  150 |  2025 | hernandez56 | 380587 | 964485 | Net 10 | none |
| 47146 | 189185611 | 42809 | 570 |  100 |  10 |  1000 |  200 |  1200 | hernandez56 | 872939 | 671613 | Net 10 | 0.05 |
| 98311 | 189185611 | 42809 | 571 |  100 |  10 |  1000 |  200 |  1200 | hernandez56 | 734204 | 724601 | Net 10 | 0.05 |
| 80903 | 949644180 | 42809 | 572 |  100 |  10 |  1000 |  200 |  1200 | hernandez56 | 693994 | 502438 | Net 60 | none |
| 48839 | 761344326 | 42801 | 573 |  900 |  10 |  9000 | 1800 | 10800 | hernandez56 | 409852 | 172474 | Net 15 | none |
| 81049 | 266304285 | 42801 | 574 |  900 |  10 |  9000 | 1800 | 10800 | hernandez56 | 703289 | 131887 | Net 30 | 0.05 |
| 88631 | 453904299 | 42804 | 575 |  500 |  10 |  5000 | 1000 |  6000 | hernandez56 | 224586 | 474872 | Net 10 | none |
| 14630 | 189185611 | 42808 | 576 |  400 |  10 |  4000 |  800 |  4800 | hernandez56 | 888955 | 421502 | Net 10 | 0.05 |
| 18095 | 761344326 | 42801 | 577 |  250 |  10 |  2500 |  500 |  3000 | hernandez56 | 168182 | 284898 | Net 15 | none |
| 99410 | 761344326 | 42801 | 131 |  500 |  15 |  7500 | 1000 |  8500 | sousa33     | 898293 | 406525 | Net 15 | none |
| 46566 | 266304285 | 42801 | 132 |  500 |  15 |  7500 | 1000 |  8500 | sousa33     | 537285 | 745522 | Net 30 | 0.05 |
| 65465 | 658314729 | 42801 | 133 |  750 |  15 | 11250 | 1500 | 12750 | sousa33     | 388032 | 790081 | Net 15 | 0.05 |
| 74018 | 504796147 | 42801 | 134 | 1000 |  15 | 15000 | 2000 | 17000 | sousa33     | 112154 | 156360 | Net 10 | 0.05 |
| 43515 | 640498345 | 42802 | 250 |  650 |  20 | 13000 | 1300 | 14300 | sousa33     | 441859 | 596874 | Net 60 | 0.05 |
| 55892 | 114058620 | 42804 | 251 |  650 |  20 | 13000 | 1300 | 14300 | sousa33     | 951471 | 821652 | Net 30 | none |
| 75922 | 842895157 | 42808 | 252 |  500 |  20 | 10000 | 1000 | 11000 | sousa33     | 931171 | 285517 | Net 30 | none |
| 76000 | 912086047 | 42809 | 253 |  700 |  20 | 14000 | 1400 | 15400 | sousa33     | 712492 | 752287 | Net 60 | none |
| 55508 | 504796147 | 42809 | 254 | 2000 |  20 | 40000 | 4000 | 44000 | sousa33     | 785661 | 780515 | Net 10 | 0.05 |
| 42890 | 640498345 | 42802 | 255 | 2000 |  20 | 40000 | 4000 | 44000 | sousa33     | 146199 | 650796 | Net 60 | 0.05 |
| 60820 | 114058620 | 42802 | 256 | 2000 |  20 | 40000 | 4000 | 44000 | sousa33     | 722371 | 763429 | Net 30 | none |
| 90829 | 114058620 | 42808 | 257 | 1000 |  20 | 20000 | 2000 | 22000 | schmitz62   | 827090 | 710193 | Net 30 | none |
| 13291 | 842895157 | 42808 | 320 |   80 |  30 |  2400 |  160 |  2560 | schmitz62   | 265858 | 284290 | Net 30 | none |
| 51041 | 912086047 | 42802 | 321 |   80 |  30 |  2400 |  160 |  2560 | schmitz62   | 810693 | 250908 | Net 60 | none |
| 90147 | 842895157 | 42804 | 322 |  120 |  30 |  3600 |  240 |  3840 | schmitz62   | 810028 | 812876 | Net 30 | none |
| 51072 | 508089512 | 42808 | 440 |  450 |  25 | 11250 |  900 | 12150 | schmitz62   | 737807 | 481466 | Net 10 | none |
| 80563 | 658314729 | 42809 | 441 |  900 |  25 | 22500 | 1800 | 24300 | schmitz62   | 294920 | 540858 | Net 15 | 0.05 |
| 20346 | 658314729 | 42801 | 442 |  450 |  25 | 11250 |  900 | 12150 | schmitz62   | 960397 | 789820 | Net 15 | 0.05 |
| 32878 | 842895157 | 42804 | 570 |  650 |  10 |  6500 | 1300 |  7800 | schmitz62   | 959408 | 741224 | Net 30 | none |
| 43328 | 508089512 | 42804 | 571 |  500 |  10 |  5000 | 1000 |  6000 | schmitz62   | 232472 | 592068 | Net 10 | none |
| 18361 | 658314729 | 42804 | 572 |  500 |  10 |  5000 | 1000 |  6000 | schmitz62   | 466650 | 838584 | Net 15 | 0.05 |
| 75418 | 508089512 | 42809 | 573 |  500 |  10 |  5000 | 1000 |  6000 | schmitz62   | 906530 | 335823 | Net 10 | none |
| 65070 | 842895157 | 42809 | 574 |  500 |  10 |  5000 | 1000 |  6000 | schmitz62   | 856065 | 650456 | Net 30 | none |
| 86075 | 508089512 | 42809 | 575 |  750 |  10 |  7500 | 1500 |  9000 | schmitz62   | 650472 | 608545 | Net 10 | none |
| 69962 | 658314729 | 42801 | 576 |  700 |  10 |  7000 | 1400 |  8400 | schmitz62   | 305652 | 708504 | Net 15 | 0.05 |
| 44122 | 508089512 | 42801 | 577 |  500 |  10 |  5000 | 1000 |  6000 | schmitz62   | 552210 | 650807 | Net 10 | none |



label: G=E*F
labeled_formulas: G=E*F
output: {"Arithmetic-Relationship": ["G=E*F"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_419345___xlsx_70130057a0a8dd51b3188e1872d9163ef36863a2.xlsx___line_446