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 |
|:----------------------------------|------:|---------:|---------:|---------:|-----:|----:|
| Chocolate chip cake               |  3.99 | 451.128  |  6.01504 |  1618.17 | 1800 |  24 |
| 4 Pc Chicken basket nashville hot |  7.29 | 422.497  | 25.3772  |  1727.82 | 3080 | 185 |
| 12 Chocolate chip cookies         |  4.99 | 384.77   |  2.40481 |  1897.24 | 1920 |  12 |
| 3 Pc Chicken basket               |  6.49 | 366.718  | 23.1125  |  1990.63 | 2380 | 150 |
| 2 Pc Chicken basket               |  5.49 | 336.976  | 20.9472  |  2166.32 | 1850 | 115 |
| Wednesday 3 tender                |  2.99 | 317.726  | 21.7391  |  2297.58 |  950 |  65 |
| Monday chicken pot pie            |  2.99 | 294.314  |  9.0301  |  2480.34 |  880 |  27 |
| Popcorn nuggets                   |  5.49 | 256.831  | 13.1148  |  2842.34 | 1410 |  72 |
| Tender meal                       | 20.79 | 253.487  | 14.0933  |  2879.83 | 5270 | 293 |
| Saturday 10 pc thigh & leg        | 10    | 250      | 16       |  2920    | 2500 | 160 |
| 3 Pc Chicken box                  |  8.29 | 248.492  | 13.7515  |  2937.72 | 2060 | 114 |
| 3 Pc Tenders                      |  5    | 248      | 13       |  2943.55 | 1240 |  65 |
| 2 Pc White                        |  6.19 | 240.711  | 14.5396  |  3032.68 | 1490 |  90 |
| Friday 7 pc thigh & leg           |  7    | 238.571  | 15.1429  |  3059.88 | 1670 | 106 |
| 16 Pc meal extra crisp            | 36.99 | 236.55   | 11.3815  |  3086.02 | 8750 | 421 |
| 8 Pc meal                         | 21.49 | 235.458  | 12.4709  |  3100.34 | 5060 | 268 |
| 12 Pc meal                        | 29.19 | 227.818  | 10.8941  |  3204.32 | 6650 | 318 |
| 3 Chicken little's combo          |  5.59 | 220.036  | 15.5635  |  3317.64 | 1230 |  87 |
| 20$ Fill up                       | 20    | 213.5    |  9.8     |  3419.2  | 4270 | 196 |
| Tenders & wedges for 2            | 10.49 | 208.77   | 11.6301  |  3496.67 | 2190 | 122 |
| 16 Pc meal Original               | 36.99 | 207.353  | 11.7059  |  3520.56 | 7670 | 433 |
| Thursday Breast meat              |  4.79 | 206.681  |  8.97704 |  3532.02 |  990 |  43 |
| 1 Chicken little                  |  1.49 | 201.342  |  9.39597 |  3625.67 |  300 |  14 |
| 16 Pc meal spicy                  | 36.99 | 200.865  |  9.43498 |  3634.28 | 7430 | 349 |
| 1 Pc Breast                       |  5    | 198      |  8.6     |  3686.87 |  990 |  43 |
| Large BBQ baked bean              |  3.99 | 197.995  | 11.2782  |  3686.96 |  790 |  45 |
| 8 Pc bucket                       | 14.99 | 194.797  | 13.4089  |  3747.5  | 2920 | 201 |
| 5 Pc Tender basket                |  7.29 | 194.787  |  6.85871 |  3747.68 | 1420 |  50 |
| 2 Pc Drum & thigh                 |  5    | 192      |  8.2     |  3802.08 |  960 |  41 |
| 2 pc Chicken & popcorn box        |  8.29 | 191.797  |  2.05066 |  3806.1  | 1590 |  17 |
| 4 pc Tender basket, Nashville hot |  6.49 | 184.9    |  6.16333 |  3948.08 | 1200 |  40 |
| Tuesday BBQ Sandwich              |  2.99 | 180.602  |  8.02676 |  4042.04 |  540 |  24 |
| Crispy colonel fill up            |  5    | 178      |  5.8     |  4101.12 |  890 |  29 |
| 16 Pc Bucket                      | 26.99 | 177.844  | 11.4116  |  4104.73 | 4800 | 308 |
| 3 Pc Tender basket, Nashville hot |  5.49 | 176.685  |  5.46448 |  4131.65 |  970 |  30 |
| Famous bowl                       |  5    | 176      |  5.4     |  4147.73 |  880 |  27 |
| Chicken Pot pie                   |  5    | 176      |  5.4     |  4147.73 |  880 |  27 |
| 12 Pc Bucket extra crisp          | 21.19 | 169.891  | 10.9014  |  4296.86 | 3600 | 231 |
| 3 Pc Tenders & popcorn box        |  8.29 | 164.053  |  8.92642 |  4449.78 | 1360 |  74 |
| 5 Pc Tenders combo                |  7.99 | 162.703  | 11.8899  |  4486.69 | 1300 |  95 |
| Smoky mtn BBQ combo               |  5.99 | 161.937  |  4.67446 |  4507.94 |  970 |  28 |
| Nashville hot combo               |  5.99 | 161.937  |  4.67446 |  4507.94 |  970 |  28 |
| 16 Pc meal Kentucky               | 36.99 | 161.936  | 11.1652  |  4507.96 | 5990 | 413 |
| Georgia gold combo                |  5.99 | 160.267  |  4.67446 |  4554.9  |  960 |  28 |
| Large coleslaw                    |  3.99 | 157.895  |  1.00251 |  4623.33 |  630 |   4 |
| Crispy colonel box                |  7.99 | 148.936  |  5.25657 |  4901.43 | 1190 |  42 |
| Large mashed potatoes             |  3.99 | 137.845  |  3.00752 |  5295.82 |  550 |  12 |
| Large Mac & Cheese                |  3.99 | 135.338  |  4.51128 |  5393.89 |  540 |  18 |
| Smoky mtn bbq sandwich            |  4.49 | 120.267  |  5.34521 |  6069.81 |  540 |  24 |
| Georgia gold sandwich             |  4.49 | 118.04   |  5.34521 |  6184.34 |  530 |  24 |
| Nashville hot sandwich            |  4.49 | 118.04   |  5.34521 |  6184.34 |  530 |  24 |
| Crispy colonel fill up sandwich   |  3.99 | 115.288  |  6.01504 |  6331.96 |  460 |  24 |
| Hot wing 10 pc                    |  7.19 |  97.3574 |  5.56328 |  7498.14 |  700 |  40 |
| Hot wing 5 pc                     |  4.19 |  83.5322 |  4.77327 |  8739.14 |  350 |  20 |
| Large Sweet corn                  |  3.99 |  67.6692 |  2.25564 | 10787.8  |  270 |   9 |
| Large Green beans                 |  3.99 |  22.5564 |  1.25313 | 32363.3  |   90 |   5 |



label: C=F/B
D=G/B
labeled_formulas: C=F/B
D=G/B
output: {"Arithmetic-Relationship": ["C=F/B", "D=G/B"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_225784___xlsx_68fe33f4d7c5ebc0c7ec194c3f3f2e650a3277af.xlsx___line_359