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:
|       H |       I |       J |
|--------:|--------:|--------:|
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
| 30      | 30      | 60      |
| 26.6667 | 30      | 56.6667 |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 29.7283 | 29.7283 |
|  0      | 28.6133 | 28.6133 |
|  0      | 30      | 30      |
| 26.6667 | 30      | 56.6667 |
| 26.6667 | 30      | 56.6667 |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 26.07   | 26.07   |
|  0      | 27.81   | 27.81   |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 27.2633 | 27.2633 |
|  0      | 24      | 24      |
|  0      | 28.3483 | 28.3483 |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 25.4097 | 25.4097 |
|  0      | 23.1097 | 23.1097 |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
| 30      | 30      | 60      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 30      | 30      |
|  0      | 28.235  | 28.235  |
| 30      | 30      | 60      |
| 30      | 30      | 60      |



label: J=I+H
labeled_formulas: J=I+H
output: {"Arithmetic-Relationship": ["J=I+H"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_87115___xlsx_c5d75f3ee0504a12941216cbc86925f831f38242.xlsx___line_580