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:
|   G |       H |       I |         J |         K |
|----:|--------:|--------:|----------:|----------:|
|   1 | 364.615 | 243.725 | 120.89    | 24906.3   |
|   2 | 364.615 | 244.897 | 119.718   | 24661.4   |
|   3 | 364.615 | 246.074 | 118.541   | 24415.3   |
|   4 | 364.615 | 247.257 | 117.358   | 24168     |
|   5 | 364.615 | 248.445 | 116.17    | 23919.6   |
|   6 | 364.615 | 249.639 | 114.976   | 23670     |
|   7 | 364.615 | 250.839 | 113.776   | 23419.1   |
|   8 | 364.615 | 252.045 | 112.57    | 23167.1   |
|   9 | 364.615 | 253.257 | 111.358   | 22913.8   |
|  10 | 364.615 | 254.474 | 110.141   | 22659.3   |
|  11 | 364.615 | 255.697 | 108.918   | 22403.7   |
|  12 | 364.615 | 256.926 | 107.689   | 22146.7   |
|  13 | 364.615 | 258.161 | 106.454   | 21888.6   |
|  14 | 364.615 | 259.402 | 105.213   | 21629.2   |
|  15 | 364.615 | 260.649 | 103.966   | 21368.5   |
|  16 | 364.615 | 261.902 | 102.713   | 21106.6   |
|  17 | 364.615 | 263.161 | 101.454   | 20843.4   |
|  18 | 364.615 | 264.426 | 100.189   | 20579     |
|  19 | 364.615 | 265.697 |  98.9182  | 20313.3   |
|  20 | 364.615 | 266.974 |  97.6411  | 20046.4   |
|  21 | 364.615 | 268.257 |  96.3578  | 19778.1   |
|  22 | 364.615 | 269.547 |  95.0684  | 19508.5   |
|  23 | 364.615 | 270.842 |  93.7727  | 19237.7   |
|  24 | 364.615 | 272.144 |  92.4708  | 18965.6   |
|  25 | 364.615 | 273.452 |  91.1627  | 18692.1   |
|  26 | 364.615 | 274.767 |  89.8483  | 18417.3   |
|  27 | 364.615 | 276.087 |  88.5276  | 18141.3   |
|  28 | 364.615 | 277.415 |  87.2005  | 17863.8   |
|  29 | 364.615 | 278.748 |  85.867   | 17585.1   |
|  30 | 364.615 | 280.088 |  84.5271  | 17305     |
|  31 | 364.615 | 281.434 |  83.1808  | 17023.6   |
|  32 | 364.615 | 282.787 |  81.8281  | 16740.8   |
|  33 | 364.615 | 284.146 |  80.4688  | 16456.6   |
|  34 | 364.615 | 285.512 |  79.1029  | 16171.1   |
|  35 | 364.615 | 286.884 |  77.7306  | 15884.2   |
|  36 | 364.615 | 288.263 |  76.3516  | 15596     |
|  37 | 364.615 | 289.649 |  74.966   | 15306.3   |
|  38 | 364.615 | 291.041 |  73.5737  | 15015.3   |
|  39 | 364.615 | 292.44  |  72.1747  | 14722.8   |
|  40 | 364.615 | 293.846 |  70.769   | 14429     |
|  41 | 364.615 | 295.258 |  69.3566  | 14133.7   |
|  42 | 364.615 | 296.678 |  67.9374  | 13837.1   |
|  43 | 364.615 | 298.104 |  66.5113  | 13539     |
|  44 | 364.615 | 299.537 |  65.0784  | 13239.4   |
|  45 | 364.615 | 300.976 |  63.6386  | 12938.4   |
|  46 | 364.615 | 302.423 |  62.1919  | 12636     |
|  47 | 364.615 | 303.877 |  60.7382  | 12332.1   |
|  48 | 364.615 | 305.337 |  59.2776  | 12026.8   |
|  49 | 364.615 | 306.805 |  57.8099  | 11720     |
|  50 | 364.615 | 308.28  |  56.3351  | 11411.7   |
|  51 | 364.615 | 309.762 |  54.8533  | 11102     |
|  52 | 364.615 | 311.251 |  53.3644  | 10790.7   |
|  53 | 364.615 | 312.747 |  51.8683  | 10478     |
|  54 | 364.615 | 314.25  |  50.365   | 10163.7   |
|  55 | 364.615 | 315.761 |  48.8544  |  9847.96  |
|  56 | 364.615 | 317.278 |  47.3367  |  9530.68  |
|  57 | 364.615 | 318.803 |  45.8116  |  9211.88  |
|  58 | 364.615 | 320.336 |  44.2792  |  8891.54  |
|  59 | 364.615 | 321.876 |  42.7394  |  8569.66  |
|  60 | 364.615 | 323.423 |  41.1922  |  8246.24  |
|  61 | 364.615 | 324.977 |  39.6376  |  7921.26  |
|  62 | 364.615 | 326.539 |  38.0755  |  7594.72  |
|  63 | 364.615 | 328.109 |  36.5059  |  7266.62  |
|  64 | 364.615 | 329.686 |  34.9288  |  6936.93  |
|  65 | 364.615 | 331.271 |  33.3441  |  6605.66  |
|  66 | 364.615 | 332.863 |  31.7517  |  6272.79  |
|  67 | 364.615 | 334.463 |  30.1518  |  5938.33  |
|  68 | 364.615 | 336.071 |  28.5441  |  5602.26  |
|  69 | 364.615 | 337.686 |  26.9287  |  5264.57  |
|  70 | 364.615 | 339.31  |  25.3055  |  4925.26  |
|  71 | 364.615 | 340.94  |  23.6745  |  4584.32  |
|  72 | 364.615 | 342.579 |  22.0357  |  4241.74  |
|  73 | 364.615 | 344.226 |  20.389   |  3897.52  |
|  74 | 364.615 | 345.881 |  18.7344  |  3551.64  |
|  75 | 364.615 | 347.543 |  17.0718  |  3204.1   |
|  76 | 364.615 | 349.214 |  15.4013  |  2854.88  |
|  77 | 364.615 | 350.892 |  13.7227  |  2503.99  |
|  78 | 364.615 | 352.579 |  12.0361  |  2151.41  |
|  79 | 364.615 | 354.274 |  10.3413  |  1797.14  |
|  80 | 364.615 | 355.977 |   8.63839 |  1441.16  |
|  81 | 364.615 | 357.688 |   6.9273  |  1083.47  |
|  82 | 364.615 | 359.407 |   5.20798 |   724.065 |
|  83 | 364.615 | 361.135 |   3.4804  |   362.931 |
|  84 | 364.615 | 362.87  |   1.74452 |     0     |
|  85 |   0     |   0     |   0       |     0     |
|  86 |   0     |   0     |   0       |     0     |
|  87 |   0     |   0     |   0       |     0     |
|  88 |   0     |   0     |   0       |     0     |
|  89 |   0     |   0     |   0       |     0     |
|  90 |   0     |   0     |   0       |     0     |
|  91 |   0     |   0     |   0       |     0     |
|  92 |   0     |   0     |   0       |     0     |
|  93 |   0     |   0     |   0       |     0     |
|  94 |   0     |   0     |   0       |     0     |
|  95 |   0     |   0     |   0       |     0     |
|  96 |   0     |   0     |   0       |     0     |
|  97 |   0     |   0     |   0       |     0     |
|  98 |   0     |   0     |   0       |     0     |
|  99 |   0     |   0     |   0       |     0     |
| 100 |   0     |   0     |   0       |     0     |
| 101 |   0     |   0     |   0       |     0     |
| 102 |   0     |   0     |   0       |     0     |
| 103 |   0     |   0     |   0       |     0     |
| 104 |   0     |   0     |   0       |     0     |
| 105 |   0     |   0     |   0       |     0     |
| 106 |   0     |   0     |   0       |     0     |
| 107 |   0     |   0     |   0       |     0     |
| 108 |   0     |   0     |   0       |     0     |
| 109 |   0     |   0     |   0       |     0     |
| 110 |   0     |   0     |   0       |     0     |
| 111 |   0     |   0     |   0       |     0     |
| 112 |   0     |   0     |   0       |     0     |
| 113 |   0     |   0     |   0       |     0     |
| 114 |   0     |   0     |   0       |     0     |
| 115 |   0     |   0     |   0       |     0     |
| 116 |   0     |   0     |   0       |     0     |
| 117 |   0     |   0     |   0       |     0     |
| 118 |   0     |   0     |   0       |     0     |
| 119 |   0     |   0     |   0       |     0     |
| 120 |   0     |   0     |   0       |     0     |
| 121 |   0     |   0     |   0       |     0     |
| 122 |   0     |   0     |   0       |     0     |
| 123 |   0     |   0     |   0       |     0     |
| 124 |   0     |   0     |   0       |     0     |
| 125 |   0     |   0     |   0       |     0     |
| 126 |   0     |   0     |   0       |     0     |
| 127 |   0     |   0     |   0       |     0     |
| 128 |   0     |   0     |   0       |     0     |
| 129 |   0     |   0     |   0       |     0     |
| 130 |   0     |   0     |   0       |     0     |
| 131 |   0     |   0     |   0       |     0     |
| 132 |   0     |   0     |   0       |     0     |
| 133 |   0     |   0     |   0       |     0     |
| 134 |   0     |   0     |   0       |     0     |
| 135 |   0     |   0     |   0       |     0     |
| 136 |   0     |   0     |   0       |     0     |
| 137 |   0     |   0     |   0       |     0     |
| 138 |   0     |   0     |   0       |     0     |
| 139 |   0     |   0     |   0       |     0     |
| 140 |   0     |   0     |   0       |     0     |
| 141 |   0     |   0     |   0       |     0     |
| 142 |   0     |   0     |   0       |     0     |
| 143 |   0     |   0     |   0       |     0     |
| 144 |   0     |   0     |   0       |     0     |
| 145 |   0     |   0     |   0       |     0     |
| 146 |   0     |   0     |   0       |     0     |
| 147 |   0     |   0     |   0       |     0     |
| 148 |   0     |   0     |   0       |     0     |
| 149 |   0     |   0     |   0       |     0     |
| 150 |   0     |   0     |   0       |     0     |
| 151 |   0     |   0     |   0       |     0     |
| 152 |   0     |   0     |   0       |     0     |
| 153 |   0     |   0     |   0       |     0     |
| 154 |   0     |   0     |   0       |     0     |
| 155 |   0     |   0     |   0       |     0     |
| 156 |   0     |   0     |   0       |     0     |
| 157 |   0     |   0     |   0       |     0     |
| 158 |   0     |   0     |   0       |     0     |
| 159 |   0     |   0     |   0       |     0     |
| 160 |   0     |   0     |   0       |     0     |
| 161 |   0     |   0     |   0       |     0     |
| 162 |   0     |   0     |   0       |     0     |
| 163 |   0     |   0     |   0       |     0     |
| 164 |   0     |   0     |   0       |     0     |
| 165 |   0     |   0     |   0       |     0     |
| 166 |   0     |   0     |   0       |     0     |
| 167 |   0     |   0     |   0       |     0     |
| 168 |   0     |   0     |   0       |     0     |
| 169 |   0     |   0     |   0       |     0     |
| 170 |   0     |   0     |   0       |     0     |
| 171 |   0     |   0     |   0       |     0     |
| 172 |   0     |   0     |   0       |     0     |
| 173 |   0     |   0     |   0       |     0     |
| 174 |   0     |   0     |   0       |     0     |
| 175 |   0     |   0     |   0       |     0     |
| 176 |   0     |   0     |   0       |     0     |
| 177 |   0     |   0     |   0       |     0     |
| 178 |   0     |   0     |   0       |     0     |
| 179 |   0     |   0     |   0       |     0     |
| 180 |   0     |   0     |   0       |     0     |
| 181 |   0     |   0     |   0       |     0     |
| 182 |   0     |   0     |   0       |     0     |
| 183 |   0     |   0     |   0       |     0     |
| 184 |   0     |   0     |   0       |     0     |
| 185 |   0     |   0     |   0       |     0     |
| 186 |   0     |   0     |   0       |     0     |
| 187 |   0     |   0     |   0       |     0     |
| 188 |   0     |   0     |   0       |     0     |
| 189 |   0     |   0     |   0       |     0     |
| 190 |   0     |   0     |   0       |     0     |
| 191 |   0     |   0     |   0       |     0     |
| 192 |   0     |   0     |   0       |     0     |
| 193 |   0     |   0     |   0       |     0     |
| 194 |   0     |   0     |   0       |     0     |
| 195 |   0     |   0     |   0       |     0     |
| 196 |   0     |   0     |   0       |     0     |
| 197 |   0     |   0     |   0       |     0     |
| 198 |   0     |   0     |   0       |     0     |
| 199 |   0     |   0     |   0       |     0     |
| 200 |   0     |   0     |   0       |     0     |
| 201 |   0     |   0     |   0       |     0     |
| 202 |   0     |   0     |   0       |     0     |
| 203 |   0     |   0     |   0       |     0     |
| 204 |   0     |   0     |   0       |     0     |
| 205 |   0     |   0     |   0       |     0     |
| 206 |   0     |   0     |   0       |     0     |
| 207 |   0     |   0     |   0       |     0     |
| 208 |   0     |   0     |   0       |     0     |
| 209 |   0     |   0     |   0       |     0     |
| 210 |   0     |   0     |   0       |     0     |
| 211 |   0     |   0     |   0       |     0     |
| 212 |   0     |   0     |   0       |     0     |
| 213 |   0     |   0     |   0       |     0     |
| 214 |   0     |   0     |   0       |     0     |
| 215 |   0     |   0     |   0       |     0     |
| 216 |   0     |   0     |   0       |     0     |
| 217 |   0     |   0     |   0       |     0     |
| 218 |   0     |   0     |   0       |     0     |
| 219 |   0     |   0     |   0       |     0     |
| 220 |   0     |   0     |   0       |     0     |
| 221 |   0     |   0     |   0       |     0     |
| 222 |   0     |   0     |   0       |     0     |
| 223 |   0     |   0     |   0       |     0     |
| 224 |   0     |   0     |   0       |     0     |
| 225 |   0     |   0     |   0       |     0     |
| 226 |   0     |   0     |   0       |     0     |
| 227 |   0     |   0     |   0       |     0     |
| 228 |   0     |   0     |   0       |     0     |
| 229 |   0     |   0     |   0       |     0     |
| 230 |   0     |   0     |   0       |     0     |
| 231 |   0     |   0     |   0       |     0     |
| 232 |   0     |   0     |   0       |     0     |
| 233 |   0     |   0     |   0       |     0     |
| 234 |   0     |   0     |   0       |     0     |
| 235 |   0     |   0     |   0       |     0     |
| 236 |   0     |   0     |   0       |     0     |
| 237 |   0     |   0     |   0       |     0     |
| 238 |   0     |   0     |   0       |     0     |
| 239 |   0     |   0     |   0       |     0     |
| 240 |   0     |   0     |   0       |     0     |
| 241 |   0     |   0     |   0       |     0     |
| 242 |   0     |   0     |   0       |     0     |
| 243 |   0     |   0     |   0       |     0     |
| 244 |   0     |   0     |   0       |     0     |
| 245 |   0     |   0     |   0       |     0     |
| 246 |   0     |   0     |   0       |     0     |
| 247 |   0     |   0     |   0       |     0     |
| 248 |   0     |   0     |   0       |     0     |
| 249 |   0     |   0     |   0       |     0     |
| 250 |   0     |   0     |   0       |     0     |
| 251 |   0     |   0     |   0       |     0     |
| 252 |   0     |   0     |   0       |     0     |
| 253 |   0     |   0     |   0       |     0     |
| 254 |   0     |   0     |   0       |     0     |
| 255 |   0     |   0     |   0       |     0     |
| 256 |   0     |   0     |   0       |     0     |
| 257 |   0     |   0     |   0       |     0     |
| 258 |   0     |   0     |   0       |     0     |
| 259 |   0     |   0     |   0       |     0     |
| 260 |   0     |   0     |   0       |     0     |
| 261 |   0     |   0     |   0       |     0     |
| 262 |   0     |   0     |   0       |     0     |
| 263 |   0     |   0     |   0       |     0     |
| 264 |   0     |   0     |   0       |     0     |
| 265 |   0     |   0     |   0       |     0     |
| 266 |   0     |   0     |   0       |     0     |
| 267 |   0     |   0     |   0       |     0     |
| 268 |   0     |   0     |   0       |     0     |
| 269 |   0     |   0     |   0       |     0     |
| 270 |   0     |   0     |   0       |     0     |
| 271 |   0     |   0     |   0       |     0     |
| 272 |   0     |   0     |   0       |     0     |
| 273 |   0     |   0     |   0       |     0     |
| 274 |   0     |   0     |   0       |     0     |
| 275 |   0     |   0     |   0       |     0     |
| 276 |   0     |   0     |   0       |     0     |
| 277 |   0     |   0     |   0       |     0     |
| 278 |   0     |   0     |   0       |     0     |
| 279 |   0     |   0     |   0       |     0     |
| 280 |   0     |   0     |   0       |     0     |
| 281 |   0     |   0     |   0       |     0     |
| 282 |   0     |   0     |   0       |     0     |
| 283 |   0     |   0     |   0       |     0     |
| 284 |   0     |   0     |   0       |     0     |
| 285 |   0     |   0     |   0       |     0     |
| 286 |   0     |   0     |   0       |     0     |
| 287 |   0     |   0     |   0       |     0     |
| 288 |   0     |   0     |   0       |     0     |
| 289 |   0     |   0     |   0       |     0     |
| 290 |   0     |   0     |   0       |     0     |
| 291 |   0     |   0     |   0       |     0     |
| 292 |   0     |   0     |   0       |     0     |
| 293 |   0     |   0     |   0       |     0     |
| 294 |   0     |   0     |   0       |     0     |
| 295 |   0     |   0     |   0       |     0     |
| 296 |   0     |   0     |   0       |     0     |
| 297 |   0     |   0     |   0       |     0     |
| 298 |   0     |   0     |   0       |     0     |
| 299 |   0     |   0     |   0       |     0     |
| 300 |   0     |   0     |   0       |     0     |



label: I=H-J
labeled_formulas: I=H-J
output: {"Arithmetic-Relationship": ["I=H-J"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_84604___xlsx_ba8f771cca87a2317dc8d9a7d80c9ac41187b7fa.xlsx___line_502