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 |
|:-------------------------|:----|----:|----:|----:|
| 400KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 400KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 400KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 400KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 400KV Transformer        | £m  |   0 |   0 |   0 |
| 400KV Transformer        | £m  |   0 |   0 |   0 |
| 400KV Transformer        | £m  |   0 |   0 |   0 |
| 400KV Transformer        | £m  |   0 |   0 |   0 |
| 400KV Reactors           | £m  |   0 |   0 |   0 |
| 400KV Reactors           | £m  |   0 |   0 |   0 |
| 400KV Reactors           | £m  |   0 |   0 |   0 |
| 400KV Reactors           | £m  |   0 |   0 |   0 |
| 400KV Underground Cable  | £m  |   0 |   0 |   0 |
| 400KV Underground Cable  | £m  |   0 |   0 |   0 |
| 400KV Underground Cable  | £m  |   0 |   0 |   0 |
| 400KV Underground Cable  | £m  |   0 |   0 |   0 |
| 400KV OHL line conductor | £m  |   0 |   0 |   0 |
| 400KV OHL line conductor | £m  |   0 |   0 |   0 |
| 400KV OHL line conductor | £m  |   0 |   0 |   0 |
| 400KV OHL line conductor | £m  |   0 |   0 |   0 |
| 400KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 400KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 400KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 400KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 400KV OHL towers         | £m  |   0 |   0 |   0 |
| 400KV OHL towers         | £m  |   0 |   0 |   0 |
| 400KV OHL towers         | £m  |   0 |   0 |   0 |
| 400KV OHL towers         | £m  |   0 |   0 |   0 |
| 275KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 275KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 275KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 275KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 275KV Transformer        | £m  |   0 |   0 |   0 |
| 275KV Transformer        | £m  |   0 |   0 |   0 |
| 275KV Transformer        | £m  |   0 |   0 |   0 |
| 275KV Transformer        | £m  |   0 |   0 |   0 |
| 275KV Reactors           | £m  |   0 |   0 |   0 |
| 275KV Reactors           | £m  |   0 |   0 |   0 |
| 275KV Reactors           | £m  |   0 |   0 |   0 |
| 275KV Reactors           | £m  |   0 |   0 |   0 |
| 275KV Underground Cable  | £m  |   0 |   0 |   0 |
| 275KV Underground Cable  | £m  |   0 |   0 |   0 |
| 275KV Underground Cable  | £m  |   0 |   0 |   0 |
| 275KV Underground Cable  | £m  |   0 |   0 |   0 |
| 275KV OHL line conductor | £m  |   0 |   0 |   0 |
| 275KV OHL line conductor | £m  |   0 |   0 |   0 |
| 275KV OHL line conductor | £m  |   0 |   0 |   0 |
| 275KV OHL line conductor | £m  |   0 |   0 |   0 |
| 275KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 275KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 275KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 275KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 275KV OHL towers         | £m  |   0 |   0 |   0 |
| 275KV OHL towers         | £m  |   0 |   0 |   0 |
| 275KV OHL towers         | £m  |   0 |   0 |   0 |
| 275KV OHL towers         | £m  |   0 |   0 |   0 |
| 132KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 132KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 132KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 132KV Circuit Breaker    | £m  |   0 |   0 |   0 |
| 132KV Transformer        | £m  |   0 |   0 |   0 |
| 132KV Transformer        | £m  |   0 |   0 |   0 |
| 132KV Transformer        | £m  |   0 |   0 |   0 |
| 132KV Transformer        | £m  |   0 |   0 |   0 |
| 132KV Reactors           | £m  |   0 |   0 |   0 |
| 132KV Reactors           | £m  |   0 |   0 |   0 |
| 132KV Reactors           | £m  |   0 |   0 |   0 |
| 132KV Reactors           | £m  |   0 |   0 |   0 |
| 132KV Underground Cable  | £m  |   0 |   0 |   0 |
| 132KV Underground Cable  | £m  |   0 |   0 |   0 |
| 132KV Underground Cable  | £m  |   0 |   0 |   0 |
| 132KV Underground Cable  | £m  |   0 |   0 |   0 |
| 132KV OHL line conductor | £m  |   0 |   0 |   0 |
| 132KV OHL line conductor | £m  |   0 |   0 |   0 |
| 132KV OHL line conductor | £m  |   0 |   0 |   0 |
| 132KV OHL line conductor | £m  |   0 |   0 |   0 |
| 132KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 132KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 132KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 132KV OHL line fittings  | £m  |   0 |   0 |   0 |
| 132KV OHL towers         | £m  |   0 |   0 |   0 |
| 132KV OHL towers         | £m  |   0 |   0 |   0 |
| 132KV OHL towers         | £m  |   0 |   0 |   0 |
| 132KV OHL towers         | £m  |   0 |   0 |   0 |



label: E=C-D
labeled_formulas: E=C-D
output: {"Arithmetic-Relationship": ["E=C-D"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_621213___xlsx_4d788b44ae8362a455cadca12cf922fefb196751.xlsx___line_173