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 |
|----:|------:|:----------------------------------------------------------|----------:|----:|----------:|-------------:|------------:|:----|-----------:|-----------:|-----------:|
|   1 |   200 | Pathuri Venkata Subrahmanyam                              | 0.0863638 |   0 | 0.0863638 |     1.32729  |   -5.43588  | No  |   18.4581  |   19.6966  |  14.8396   |
|   2 |   367 | Sahara India Financial Corporation Limited                | 2.1405    |   0 | 2.1405    |   105.13     |  -58.1611   | No  |  292.202   |  306.732   |   2.91765  |
|   3 |   678 | The Karur Vysya Bank Limited                              | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|   4 |   893 | IDBI Capital Market Services Limited                      | 0.540841  |   0 | 0.540841  |    15.3462   |  -49.0551   | No  |  148.564   |  147.412   |   9.60577  |
|   5 |  2101 | Corporation Bank                                          | 0.969495  |   0 | 0.969495  |     1.115    | -413.704    | No  |  238.526   |    6.40749 |   5.74663  |
|   6 |  2122 | Andhra Bank                                               | 5.10423   |   0 | 5.10423   |   168.4      | -147.902    | No  | 1138.19    | 1223.91    |   7.26785  |
|   7 |  2649 | IFCI Financial Service Ltd                                | 0.0159202 |   0 | 0.0159202 |     3.57517  |  -46.449    | No  |   43.1979  |    5.02037 |   1.40423  |
|   8 |  3071 | KFIC Securities Ltd                                       | 1.60303   |   0 | 1.60303   |    51.4003   |   21.7654   | No  |  179.539   |  211.252   |   4.10993  |
|   9 |  3845 | The South Indian Bank Ltd                                 | 2.06702   |   0 | 2.06702   |   109.444    |   20.0293   | No  |  274.009   |  337.025   |   3.07943  |
|  10 |  4844 | Keynote Capitals Limited                                  | 0.112692  |   0 | 0.112692  |   348.45     |   11.6436   | No  |   88.5064  |  111.235   |   0.319227 |
|  11 |  5888 | Techno Shares & Stocks Ltd                                | 2.04058   |   0 | 2.04058   |    51.0297   | -358.79     | No  |  494.765   |  235.092   |   4.60696  |
|  12 |  5957 | Aditya Birla Money Ltd                                    | 0         |   0 | 0         |     6.18682  |   -3.96126  | No  |   25.6975  |   29.2263  |   4.72397  |
|  13 |  8488 | State Bank of Mysore                                      | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  14 | 11770 | Money Control Dot Com India Ltd                           | 0.209516  |   0 | 0.209516  |     8.93256  |    1.90653  | No  |   21.9111  |   26.1452  |   2.92696  |
|  15 | 12417 | Ashika Stock Broking Ltd.                                 | 0.233129  |   0 | 0.233129  |   424.071    |   32.0907   | No  |  283.131   |  277.51    |   0.654396 |
|  16 | 17795 | Indiabulls Securities Ltd                                 | 0.106376  |   0 | 0.106376  |     0.06353  |   -0.109238 | No  |   24.2256  |   27.6422  | 435.105    |
|  17 | 19897 | Allahabad Bank                                            | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  18 | 20558 | Narnolia Securities Ltd                                   | 0.872726  |   0 | 0.872726  |    38.8155   |  -39.5376   | No  |  128.432   |  124.502   |   3.20753  |
|  19 | 20626 | The Lakshmi Vilas Bank Ltd                                | 0.0828448 |   0 | 0.0828448 |     3.5926   |   -1.91483  | No  |   11.5723  |   12.4774  |   3.47307  |
|  21 | 21539 | Sundaram Finance Distribution Limited                     | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  22 | 25813 | BMA Commodities Private Limited                           | 0.139975  |   0 | 0.139975  |    76.6954   |   -3.97293  | No  |   77.266   |   57.3414  |   0.74765  |
|  23 | 28003 | Indian Overseas Bank                                      | 1.76114   |   0 | 1.76114   |    44.7282   |  -53.7262   | No  |  423.927   |  455.209   |  10.1772   |
|  24 | 31184 | Dena Bank                                                 | 0.227382  |   0 | 0.227382  |    34.9458   |  -18.9134   | No  |   50.0481  |   49.8105  |   1.42537  |
|  25 | 31751 | LKP Securities Limited                                    | 1.65921   |   0 | 1.65921   |   110.652    | -121.321    | No  |  683.922   |  706.788   |   6.38745  |
|  26 | 33794 | Oriental Bank Of Commerce                                 | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  27 | 35323 | The Dhanalakshmi Bank Limited                             | 0         |   0 | 0         |     0.626661 |    0.626661 | No  |    2.45428 |    3.12214 |   4.98219  |
|  28 | 36031 | Syndicate Bank                                            | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  30 | 39091 | Central Bank Of India                                     | 3.60562   |   0 | 3.60562   |   666.558    | -599.1      | No  |  730.607   |  359.988   |   0.54007  |
|  31 | 39103 | HDFC Sales Private Limited                                | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  32 | 40733 | Karan Agarwal                                             | 0.522344  |   0 | 0.522344  |    50.322    |  -42.3802   | No  |   56.3499  |   34.7051  |   0.689662 |
|  33 | 41778 | Canara Bank Securities Limited                            | 2.00342   |   0 | 2.00342   | 40000        | -598.494    | No  | 4052.21    |    0       |   0        |
|  34 | 44459 | Bank of Maharashtra                                       | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  35 | 45888 | Shriram Fortune Solutions Ltd.                            | 0.94856   |   0 | 0.94856   |    41.6531   |  -18.8401   | No  |  139.929   |  151.672   |   3.64131  |
|  36 | 50327 | Bajaj Allianz Financial Distributors Limited              | 0.173249  |   0 | 0.173249  |    29.5767   |   -7.86575  | No  |   37.0341  |   37.111   |   1.25474  |
|  37 | 50915 | The Peerless General Finance & Investment Co Ltd          | 2.42654   |   0 | 2.42654   |    32.7333   | -145.068    | No  |  404.506   |  399.212   |  12.1959   |
|  38 | 51289 | Affluenz Financial Services India Private Limited         | 1.88404   |   0 | 1.88404   |   114.587    |  106.069    | No  |   23.1209  |  125.21    |   1.09271  |
|  39 | 53315 | Inditrade Capital Limited                                 | 0.0108943 |   0 | 0.0108943 |     3.95437  |   -3.6797   | No  |   14.4796  |   15.4021  |   3.89496  |
|  40 | 53552 | The Cosmos Co-Operative Bank Ltd                          | 0.03021   |   0 | 0.03021   |     0.482977 |   -1.39982  | No  |    6.44635 |    6.56576 |  13.5943   |
|  41 | 54846 | The Shamrao Vithal Co Operative Bank Ltd                  | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  42 | 55612 | Reliance Financial Distribution and Advisory Services Ltd | 0.160598  |   0 | 0.160598  |     0.978988 |   -4.04553  | No  |   33.3458  |   36.8355  |  37.6261   |
|  45 | 62713 | Fullerton Securities And Wealth Advisors Ltd              | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  46 | 66907 | Networth Wealth Solutions Ltd                             | 1.06648   |   0 | 1.06648   |   125.04     |  -43.9717   | No  |  203.992   |  216.646   |   1.73261  |
|  47 | 71722 | Abira Management Services Ltd                             | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  48 | 78747 | Konark Star Financial Consultants Pvt Ltd                 | 0.0921798 |   0 | 0.0921798 |     1.60197  |   -4.27068  | No  |   11.7515  |   11.4189  |   7.12804  |
|  49 | 79713 | Sahaj Rural Development Foundation                        | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  51 | 85308 | SIP SWP SERVICES                                          | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |
|  52 | 96547 | Datacomp Web Technologies (India)Pvt Ltd                  | 0         |   0 | 0         |     0        |    0        | No  |    0       |    0       |   0        |



label: F=D+E
labeled_formulas: F=D+E
F=(A*E)+D
F=(B*E)+D
E=(D-F)*G
E=(D-F)*H
E=(D-F)*J
E=(D-F)*K
E=(D-F)*L
K=(E+G)*L
output: {"Arithmetic-Relationship": ["F=D+E"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_283355___xlsx_8a3b0d76cb27e9050856442aabe48160697c2d38.xlsx___line_402