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   |
|----:|:----------------------------------------------------------------------|-----------------:|-----------------:|----:|----:|-----------------:|-----------------:|:----|
| 106 | ETRAN-OH-NM-115KV-MADDOX STA-TAYLOR SW STA (T-14)                     |      0           |      0           |   0 |   0 |      0           |      0           | SPS |
| 107 | ETRAN-OH-NM-115KV-MADDOX STA-TAYLOR SW STA (T-14)                     |      0           |      0           |   0 |   0 |      0           |      0           | SPS |
| 108 | Elec Tran-Line OH-NM-115KV-Chaves Co Int-Roswell City (T-26)          |   4712.76        |   3274.94        |   0 |   0 |   4712.76        |   3274.94        | SPS |
| 109 | Elec Tran-Line OH-NM-115KV-Potash Jct Sub-WIPP Sub                    | 181122           | 116478           |   0 |   0 | 181122           | 116478           | SPS |
| 110 | Elec Tran-Line OH-NM-115KV-Potash Jct Sub-WIPP Sub                    | 200253           | 128782           |   0 |   0 | 200253           | 128782           | SPS |
| 111 | Elec Tran-Line OH-NM-115KV-Norris St Tap                              |      5.64255e+06 |      3.30423e+06 |   0 |   0 |      5.64255e+06 |      3.30423e+06 | SPS |
| 112 | Elec Tran-Line OH-NM-115KV-Hobbs West Sw Sta-NEF Sub                  |     70.0439      |     67.5612      |   0 |   0 |     70.0439      |     67.5612      | SPS |
| 113 | Elec Tran-Line OH-NM-115KV-Hobbs West Sw Sta-NEF Sub                  |  29718.6         |  28665.3         |   0 |   0 |  29718.6         |  28665.3         | SPS |
| 114 | Elec Tran-Line OH-NM-115KV-Hobbs Gen Sub-Taylor Sw Sta (T-97)         |    555.663       |    482.784       |   0 |   0 |    555.663       |    482.784       | SPS |
| 115 | Elec Tran-Line OH-NM-115KV-Hobbs Gen Sub-Taylor Sw Sta (T-97)         |    146.227       |    127.048       |   0 |   0 |    146.227       |    127.048       | SPS |
| 116 | Elec Tran-Line OH-NM-115KV-Hobbs Gen Sub-Higg Sub (T-98)              |    929.639       |    918.727       |   0 |   0 |    929.639       |    918.727       | SPS |
| 117 | Elec Tran-Line OH-NM-115KV-NEF Sub-Cardinal Sub (U-03)                |   8765.14        |   8472.08        |   0 |   0 |   8765.14        |   8472.08        | SPS |
| 118 | Elec Tran-Line OH-NM-115KV-Whitten Sub-Cardinal Sub (U-04)            |    247.167       |    238.902       |   0 |   0 |    247.167       |    238.902       | SPS |
| 119 | Elec Tran-Line OH-NM-115KV-Roadrunner Sub-Ochoa Intg (U-07)           | 138084           | 136473           |   0 |   0 | 138084           | 136473           | SPS |
| 120 | Elec Tran-Line OH-NM-115KV-Roadrunner Sub-Ochoa Intg (U-07)           |   4218           |   4168.79        |   0 |   0 |   4218           |   4168.79        | SPS |
| 121 | Elec Tran-Line OH-NM-115KV-Roadrunner Sub-Ochoa Intg (U-07)           |  62160           |  61434.8         |   0 |   0 |  62160           |  61434.8         | SPS |
| 122 | Elec Tran-Line OH-NM-115KV-Carlsbad Sta-Roswell Int                   |   2307.04        |   1811.52        |   0 |   0 |   2307.04        |   1811.52        | SPS |
| 123 | Elec Tran-Line OH-NM-115KV-Chaves Co Int-Roswell Int                  |    625.241       |    362.42        |   0 |   0 |    625.241       |    362.42        | SPS |
| 124 | Elec Tran-Line OH-NM-115KV-Cunningham Sta-Oil Center Sub (W-26)       |  25597.9         |  23771.6         |   0 |   0 |  25597.9         |  23771.6         | SPS |
| 125 | Elec Tran-Line OH-NM-115KV-Cunningham Sta-Oil Center Sub (W-26)       |    297.266       |    276.057       |   0 |   0 |    297.266       |    276.057       | SPS |
| 126 | Elec Tran-Line OH-NM-115KV-Whitten Sub-Oil Center Sub (W-27)          |   1183.36        |   1088.74        |   0 |   0 |   1183.36        |   1088.74        | SPS |
| 127 | Elec Tran-Line OH-NM-115KV-Perimeter Sub-FEC Intg (W-32)              |  32039           |  28059.3         |   0 |   0 |  32039           |  28059.3         | SPS |
| 128 | Elec Tran-Line OH-NM-115KV-Perimeter Sub-FEC Intg (W-32)              |   1047.5         |    917.383       |   0 |   0 |   1047.5         |    917.383       | SPS |
| 129 | Elec Tran-Line OH-NM-115KV-Wipp Sub-Red Bluff Sub (W-38)              |    258.207       |    228.467       |   0 |   0 |    258.207       |    228.467       | SPS |
| 130 | Elec Tran-Line OH-NM-115KV-Pecos Intg-North Canal Sub (W-61)          | 379487           | 316960           |   0 |   0 | 379487           | 316960           | SPS |
| 131 | Elec Tran-Line OH-NM-115KV-Curry Co Int-Pleasant Hill Sub (W-62)      | 190512           | 185714           |   0 |   0 | 190512           | 185714           | SPS |
| 132 | Elec Tran-Line OH-NM-115KV-FEC Intg-Pleasant Hill Sub (W-64)          | 317958           | 298045           |   0 |   0 | 317958           | 298045           | SPS |
| 133 | Elec Tran-Line OH-NM-115KV-Lea National Potash Sub-Quahada Sub (W-73) |    673.565       |    638.542       |   0 |   0 |    673.565       |    638.542       | SPS |
| 134 | Elec Tran-Line OH-NM-115KV-Lea National Potash Sub-Quahada Sub (W-73) |  50713.8         |  48076.9         |   0 |   0 |  50713.8         |  48076.9         | SPS |
| 135 | Elec Tran-Line OH-NM-115KV-Lea National Potash Sub-Quahada Sub (W-73) |    741.135       |    702.599       |   0 |   0 |    741.135       |    702.599       | SPS |
| 136 | Elec Tran-Line OH-NM-115KV-Quahada Sub-Maljamar Sub (W-74)            |  66790.6         |  63108.4         |   0 |   0 |  66790.6         |  63108.4         | SPS |
| 137 | Elec Tran-Line OH-NM-115KV-Quahada Sub-Maljamar Sub (W-74)            |  18605.9         |  17580.2         |   0 |   0 |  18605.9         |  17580.2         | SPS |
| 138 | Elec Tran-Line OH-NM-115KV-Quahada Sub-Maljamar Sub (W-74)            |  21973.5         |  20762.1         |   0 |   0 |  21973.5         |  20762.1         | SPS |
| 139 | Elec Tran-Line OH-NM-115KV-Quahada Sub-Maljamar Sub (W-74)            | 324327           | 306447           |   0 |   0 | 324327           | 306447           | SPS |
| 140 | Elec Tran-Line OH-NM-115KV-Quahada Sub-Maljamar Sub (W-74)            |    673.518       |    636.387       |   0 |   0 |    673.518       |    636.387       | SPS |
| 141 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               | 837306           | 544041           |   0 |   0 | 837306           | 544041           | SPS |
| 142 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               | 188303           | 122350           |   0 |   0 | 188303           | 122350           | SPS |
| 143 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               | 176960           | 114980           |   0 |   0 | 176960           | 114980           | SPS |
| 144 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               |  63221.5         |  41078.3         |   0 |   0 |  63221.5         |  41078.3         | SPS |
| 145 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               | 568237           | 369213           |   0 |   0 | 568237           | 369213           | SPS |
| 146 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Int-OK St Line               |      1.88137e+06 |      1.22242e+06 |   0 |   0 |      1.88137e+06 |      1.22242e+06 | SPS |
| 147 | Elec Tran-Line OH-TX- 69KV-Riverview Sta-Kingsmill Sub                | 188037           | 126766           |   0 |   0 | 188037           | 126766           | SPS |
| 148 | Elec Tran-Line OH-TX- 69KV-Riverview Sta-Kingsmill Sub                |      1.18205e+06 | 796889           |   0 |   0 |      1.18205e+06 | 796889           | SPS |
| 149 | Elec Tran-Line OH-TX- 69KV-Kingsmill Sub-Bowers Sub (Y-60)            | 358715           | 337743           |   0 |   0 | 358715           | 337743           | SPS |
| 150 | Elec Tran-Line OH-TX- 69KV-Borger Loop                                |   1943.54        |   1032.62        |   0 |   0 |   1943.54        |   1032.62        | SPS |
| 151 | Elec Tran-Line OH-TX- 69KV-Bowers Sub-Howard Sub (Y-62)               |      1.6211e+06  |      1.54074e+06 |   0 |   0 |      1.6211e+06  |      1.54074e+06 | SPS |
| 152 | Elec Tran-Line OH-TX- 69KV-Hutchinson Co Intg-Industrial Sub (Y-63)   |      0           |      0           |   0 |   0 |      0           |      0           | SPS |
| 153 | Elec Tran-Line OH-TX- 69KV-N Amarillo Sw Sta-Channing Sub             | 273478           | 246612           |   0 |   0 | 273478           | 246612           | SPS |
| 154 | Elec Tran-Line OH-TX- 69KV-Coulter Intg-Soncy (Y-72)                  | 184576           | 171874           |   0 |   0 | 184576           | 171874           | SPS |
| 155 | Elec Tran-Line OH-TX- 69KV-Hale Co Int-Plainview South Sub            |  99807.2         |  36904.4         |   0 |   0 |  99807.2         |  36904.4         | SPS |
| 156 | Elec Tran-Line OH-TX- 69KV-Lamb Co Int-Littlefield Sub                | 367642           | 307053           |   0 |   0 | 367642           | 307053           | SPS |
| 157 | Elec Tran-Line OH-TX- 69KV-Lamb Co Int-Littlefield Sub                | 149775           | 125092           |   0 |   0 | 149775           | 125092           | SPS |
| 158 | Elec Tran-Line OH-TX- 69KV-Happy Int-Shamrock Pumping Sta             |  66612           |  60380.9         |   0 |   0 |  66612           |  60380.9         | SPS |
| 159 | Elec Tran-Line OH-TX- 69KV-Happy Int-Shamrock Pumping Sta             | 454579           | 412056           |   0 |   0 | 454579           | 412056           | SPS |
| 160 | Elec Tran-Line OH-TX- 69KV-Happy Int-Shamrock Pumping Sta             | 207661           | 188236           |   0 |   0 | 207661           | 188236           | SPS |
| 161 | Elec Tran-Line OH-TX- 69KV-East Sta-Van Buren Sub                     | 187162           | 110795           |   0 |   0 | 187162           | 110795           | SPS |
| 162 | Elec Tran-Line OH-TX- 69KV-East Plant Intg-Van Buren Sub (Y-93)       |  12503.4         |  10754.9         |   0 |   0 |  12503.4         |  10754.9         | SPS |
| 163 | Elec Tran-Line OH-TX- 69KV-Denver City Sta-Doss Sub                   |  38393.9         |  27933.4         |   0 |   0 |  38393.9         |  27933.4         | SPS |
| 164 | Elec Tran-Line OH-TX- 69KV-Denver City Sta Loop                       | 118083           | 101599           |   0 |   0 | 118083           | 101599           | SPS |



label: C=E+G
D=F+H
labeled_formulas: C=E+G
D=F+H
output: {"Arithmetic-Relationship": ["C=E+G", "D=F+H"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_41298___xlsx_d0c7ed6ba425ef72e5a5850085c72451d81a63a7.xlsx___line_765