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:
| B                                | C    |   D |   E |   F |    G |     H |     I |     J |      K |      L |      M |
|:---------------------------------|:-----|----:|----:|----:|-----:|------:|------:|------:|-------:|-------:|-------:|
| Honda Accord                     | PHEV |   0 |   0 | 526 |  449 |    64 |     0 |     0 |      0 |      0 |   1039 |
| Chevy Spark                      | EV   |   0 |   0 | 560 | 1145 |  2629 |  3035 |    23 |      7 |      0 |   7399 |
| Cadillac ELR                     | PHEV |   0 |   0 |   6 | 1310 |  1024 |   534 |    17 |      1 |      0 |   2892 |
| BMW i3                           | EV   |   0 |   0 |   0 | 6092 | 11024 |  7625 |  6276 |   6117 |   4854 |  41988 |
| Mercedes B-Class (B250e)         | EV   |   0 |   0 |   0 |  774 |  1906 |   632 |   744 |    135 |      9 |   4200 |
| BMW i8                           | PHEV |   0 |   0 |   0 |  555 |  2265 |  1594 |   488 |    772 |   1102 |   6776 |
| VW e-Golf                        | EV   |   0 |   0 |   0 |  357 |  4232 |  3937 |  3534 |   1354 |   4863 |  18277 |
| Kia Soul EV                      | EV   |   0 |   0 |   0 |  359 |  1015 |  1728 |  2157 |   1134 |    114 |   6507 |
| Porsche Cayenne S E-Hybrid       | PHEV |   0 |   0 |   0 |  112 |  1163 |  2111 |  1574 |   1022 |   1140 |   7122 |
| Mercedes S550 Plug               | PHEV |   0 |   0 |   0 |    0 |   118 |   550 |   666 |     96 |    371 |   1801 |
| Volvo-XC90 Plug In               | PHEV |   0 |   0 |   0 |    0 |    86 |  2015 |  2358 |   1387 |   1710 |   7556 |
| Tesla Model X                    | EV   |   0 |   0 |   0 |    0 |   208 | 19600 | 21700 |  26100 |  19425 |  87033 |
| BMW X5                           | PHEV |   0 |   0 |   0 |    0 |   892 |  5995 |  5349 |   4434 |    167 |  16837 |
| Hyundai Sonata Plug In           | PHEV |   0 |   0 |   0 |    0 |    15 |  3000 |  2254 |    460 |    456 |   6185 |
| Audi A3 Plug In                  | PHEV |   0 |   0 |   0 |    0 |     0 |  4280 |  2877 |   2597 |    437 |  10191 |
| BMW 3-series Plug-In             | PHEV |   0 |   0 |   0 |    0 |     0 |   880 |  4141 |   2600 |    705 |   8326 |
| Mercedes GLE 550e                | PHEV |   0 |   0 |   0 |    0 |     0 |   231 |   463 |    966 |   1509 |   3169 |
| BMW 7-series Plug-in             | PHEV |   0 |   0 |   0 |    0 |     0 |    23 |   707 |    339 |     80 |   1149 |
| Mercedes C350We                  | PHEV |   0 |   0 |   0 |    0 |     0 |   171 |   817 |   1721 |   2172 |   4881 |
| Chevy Bolt                       | EV   |   0 |   0 |   0 |    0 |     0 |   579 | 23297 |  18019 |  16313 |  58208 |
| Kia Optima Plug-in               | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |  1512 |    965 |    350 |   2827 |
| Hyundai Ioniq EV                 | EV   |   0 |   0 |   0 |    0 |     0 |     0 |   432 |    345 |    739 |   1516 |
| Chrysler Pacifica Plug-in Hybrid | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |  2981 |   7062 |   5811 |  15854 |
| Cadillac CT6                     | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |   205 |    231 |     25 |    461 |
| BMW 5-Series Plug in             | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |  3759 |   8664 |   5442 |  17865 |
| MINI Countryman S E              | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |   475 |   1564 |    494 |   2533 |
| Porsche Panamera 4 E-H           | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |      0 |      0 |      0 |
| Tesla Model 3                    | EV   |   0 |   0 |   0 |    0 |     0 |     0 |  1770 | 139782 | 154840 | 296392 |
| Honda Clarity BEV                | EV   |   0 |   0 |   0 |    0 |     0 |     0 |  1126 |    948 |    742 |   2816 |
| Volvo XC60 Plug In               | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |   356 |   2267 |   1682 |   4305 |
| Volvo S90 Plug In                | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |   112 |    437 |    407 |    956 |
| Honda Clarity Plug-in            | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |   903 |  18602 |  10728 |  30233 |
| Mitsubishi Outlander Plug In     | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |   4166 |   2810 |   6976 |
| Hyundai Ioniq Plug-In            | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |   1590 |   1765 |   3355 |
| Kia Niro Plug In                 | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |   3389 |   4051 |   7440 |
| Mercedes GLC 350e Hybrid         | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |    567 |   2459 |   3026 |
| Jaguar I-Pace                    | EV   |   0 |   0 |   0 |    0 |     0 |     0 |     0 |    393 |   2594 |   2987 |
| Hyundai Kona Electric            | EV   |   0 |   0 |   0 |    0 |     0 |     0 |     0 |      0 |   1721 |   1721 |
| Subaru Crosstrek Hybrid          | PHEV |   0 |   0 |   0 |    0 |     0 |     0 |     0 |      0 |    880 |    880 |
| Audi e-tron                      | EV   |   0 |   0 |   0 |    0 |     0 |     0 |     0 |      0 |   5369 |   5369 |
| Kia Niro EV                      | EV   |   0 |   0 |   0 |    0 |     0 |     0 |     0 |      0 |   1562 |   1562 |



labeled_formulas: D=E*F
D=E*G
D=E*H
D=E*I
D=E*J
D=E*K
D=E*L
E=D*M
D=F*L
D=(E*F)*G
D=(E*F)*H
D=(E*F)*I
D=(E*F)*J
D=(E*F)*K
D=(E*F)*L
D=(E*F)*M
D=(E*G)*H
D=(E*G)*I
D=(E*G)*J
D=(E*G)*K
D=(E*G)*L
D=(E*G)*M
D=(E*H)*I
D=(E*H)*J
D=(E*H)*K
D=(E*H)*L
D=(E*H)*M
D=(E*I)*J
D=(E*I)*K
D=(E*I)*L
D=(E*I)*M
D=(E*J)*K
D=(E*J)*L
D=(E*J)*M
D=(E*K)*L
D=(E*K)*M
D=(E*L)*M
D=(F*G)*L
D=(F*H)*L
D=(F*I)*L
D=(F*J)*L
D=(F*K)*L
D=(F*L)*M
output: {"Arithmetic-Relationship": []}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_453233___xlsx_f76cda9186bc06fcfb0ac2c1b761449e973e3173.xlsx___line_778