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 |
|:-------------------------|----:|----:|----:|----:|----:|----:|---------:|
| STEVE EVANS              | 260 | 179 | 299 | 190 | 559 | 369 | 0.660107 |
| LANCE MORAN              | 198 | 132 | 268 | 183 | 466 | 315 | 0.675966 |
| ANDREW CORTEN            | 194 | 150 | 211 | 155 | 405 | 305 | 0.753086 |
| MARK SMITH               | 253 | 151 | 252 | 148 | 505 | 299 | 0.592079 |
| MIKE GAGLIARDI           | 253 | 161 | 217 | 119 | 470 | 280 | 0.595745 |
| GRANT CLARKE             | 220 | 140 | 244 | 119 | 464 | 259 | 0.55819  |
| BRIAN SULLIVAN           | 185 | 136 | 173 | 120 | 358 | 256 | 0.715084 |
| ZACK WILKINSON           | 154 | 118 | 184 | 138 | 338 | 256 | 0.757396 |
| KYLE CLARKE              | 233 | 126 | 230 | 117 | 463 | 243 | 0.524838 |
| LEE SIMMS                | 206 | 114 | 218 | 122 | 424 | 236 | 0.556604 |
| ELLIOT DANIELS           | 182 | 106 | 174 | 104 | 356 | 210 | 0.589888 |
| ANDY BAITON              | 236 | 117 | 179 |  90 | 415 | 207 | 0.498795 |
| MARK KING                | 165 | 100 | 176 | 107 | 341 | 207 | 0.607038 |
| ANDREW EVANS             | 177 | 100 | 179 | 106 | 356 | 206 | 0.578652 |
| PAUL BALDWIN             | 168 |  96 | 176 | 103 | 344 | 199 | 0.578488 |
| R. GREENAWAY             | 172 | 100 | 158 |  90 | 330 | 190 | 0.575758 |
| VINCE EDWARDS            | 117 |  75 | 187 | 112 | 304 | 187 | 0.615132 |
| RYAN SHEPPARD            | 148 |  72 | 200 | 108 | 348 | 180 | 0.517241 |
| LEE MORRIS               | 126 |  86 | 143 |  88 | 269 | 174 | 0.64684  |
| LYNDON FIELDS            | 127 |  85 | 138 |  86 | 265 | 171 | 0.645283 |
| STEVE PRICE              |  80 |  39 | 216 | 129 | 296 | 168 | 0.567568 |
| DAN HURLEY               | 158 |  80 | 156 |  84 | 314 | 164 | 0.522293 |
| A. HURLEY                | 161 |  82 | 153 |  80 | 314 | 162 | 0.515924 |
| BARRY DOBLE              | 223 |  99 | 147 |  58 | 370 | 157 | 0.424324 |
| STEVE HUGHES             | 153 |  76 | 157 |  79 | 310 | 155 | 0.5      |
| LUKE SANGES              | 128 |  72 | 122 |  82 | 250 | 154 | 0.616    |
| IAN WILMOTT              | 122 |  69 | 123 |  68 | 245 | 137 | 0.559184 |
| RICHIE JAMES             | 115 |  62 | 119 |  75 | 234 | 137 | 0.58547  |
| CHRIS STONE              | 128 |  63 | 141 |  67 | 269 | 130 | 0.483271 |
| S. MACEY                 | 111 |  45 | 176 |  79 | 287 | 124 | 0.432056 |
| L. HURLEY                | 150 |  74 | 121 |  49 | 271 | 123 | 0.453875 |
| ADAM LEIGHTON            | 110 |  54 | 118 |  69 | 228 | 123 | 0.539474 |
| R. FOWLER                | 117 |  51 | 165 |  71 | 282 | 122 | 0.432624 |
| ROB PHILLIPS             | 141 |  81 |  81 |  41 | 222 | 122 | 0.54955  |
| KYLE EVANS               | 132 |  76 |  79 |  46 | 211 | 122 | 0.578199 |
| KEVIN REYNOLDS           | 105 |  51 | 142 |  66 | 247 | 117 | 0.473684 |
| B. HASHI                 |  78 |  48 |  94 |  66 | 172 | 114 | 0.662791 |
| PHIL HODGES              | 158 |  62 | 113 |  48 | 271 | 110 | 0.405904 |
| RICHIE WAINFUR           | 111 |  56 |  92 |  54 | 203 | 110 | 0.541872 |
| FRASER DAVISS            |  75 |  45 | 111 |  64 | 186 | 109 | 0.586022 |
| CHRIS LAWRENCE           | 109 |  56 | 100 |  51 | 209 | 107 | 0.511962 |
| WILL SHAW                | 100 |  49 |  99 |  58 | 199 | 107 | 0.537688 |
| DALE STROUD              | 108 |  65 |  74 |  41 | 182 | 106 | 0.582418 |
| M. HACKER                | 142 |  70 |  63 |  34 | 205 | 104 | 0.507317 |
| STUART JORDAN            | 114 |  56 |  97 |  43 | 211 |  99 | 0.469194 |
| SIMON REED               | 106 |  57 |  87 |  42 | 193 |  99 | 0.512953 |
| BRIAN THOMAS             |  69 |  38 | 108 |  61 | 177 |  99 | 0.559322 |
| ALAN HALL                |  82 |  41 | 101 |  55 | 183 |  96 | 0.52459  |
| JAMES EVANS              |  81 |  49 |  89 |  46 | 170 |  95 | 0.558824 |
| DARREN HURDLEY           |  83 |  56 |  70 |  38 | 153 |  94 | 0.614379 |
| JON DAVIES(George)       | 125 |  53 |  91 |  37 | 216 |  90 | 0.416667 |
| JAKE PHILLIPS            |  77 |  47 |  67 |  43 | 144 |  90 | 0.625    |
| TONY SANGES              |  86 |  41 |  97 |  48 | 183 |  89 | 0.486339 |
| BOB TAYLOR               | 135 |  62 |  70 |  22 | 205 |  84 | 0.409756 |
| ANDREW SHARP             |  90 |  43 |  92 |  40 | 182 |  83 | 0.456044 |
| BYRON JONES              |  56 |  32 | 100 |  51 | 156 |  83 | 0.532051 |
| DAVE LEWIS               |  58 |  40 |  62 |  43 | 120 |  83 | 0.691667 |
| RICHIE HARRIS            |  61 |  39 |  93 |  43 | 154 |  82 | 0.532468 |
| JODIE TONKS              | 103 |  58 |  49 |  23 | 152 |  81 | 0.532895 |
| M. WAGGETT               |  93 |  35 | 110 |  45 | 203 |  80 | 0.394089 |
| IAN ZALICK               |  64 |  44 |  63 |  36 | 127 |  80 | 0.629921 |
| STEVE HUMPHRIES          |  73 |  34 |  97 |  44 | 170 |  78 | 0.458824 |
| JASON GREW               | 151 |  49 |  75 |  27 | 226 |  76 | 0.336283 |
| MALCOLM BONAS            |  93 |  42 |  81 |  34 | 174 |  76 | 0.436782 |
| NICK MAGGS               |  80 |  42 |  67 |  34 | 147 |  76 | 0.517007 |
| DARREN BRYAN             |  87 |  50 |  53 |  25 | 140 |  75 | 0.535714 |
| DAVE ROBBINS             | 111 |  46 |  73 |  28 | 184 |  74 | 0.402174 |
| JON DAVIS(DRAGONWINDOWS) |  76 |  33 |  92 |  39 | 168 |  72 | 0.428571 |
| PAUL NUTMAN              |  57 |  32 |  59 |  38 | 116 |  70 | 0.603448 |
| ADAM MORAN               |  59 |  34 |  70 |  33 | 129 |  67 | 0.51938  |
| GARY BREWSTER            |  75 |  39 |  50 |  28 | 125 |  67 | 0.536    |
| PAUL BETTS               |  63 |  33 |  55 |  34 | 118 |  67 | 0.567797 |
| JASON SMITH              |  83 |  22 | 143 |  44 | 226 |  66 | 0.292035 |
| CLIVE BERRY              |  96 |  43 |  49 |  21 | 145 |  64 | 0.441379 |
| LUKE WALKER              |  44 |  29 |  55 |  35 |  99 |  64 | 0.646465 |
| MARK COUSINS             | 109 |  49 |  40 |  14 | 149 |  63 | 0.422819 |
| MIKE POWELL              |  53 |  21 |  79 |  42 | 132 |  63 | 0.477273 |
| GARETH CLEVERLY          |  67 |  42 |  38 |  20 | 105 |  62 | 0.590476 |
| PHIL COX                 |  82 |  35 |  56 |  25 | 138 |  60 | 0.434783 |
| GARETH PRINGLE           |  96 |  34 |  70 |  24 | 166 |  58 | 0.349398 |
| MARK HOWELLS             |  69 |  32 |  73 |  26 | 142 |  58 | 0.408451 |
| JAMIE KEMBREY            |   6 |   2 | 122 |  55 | 128 |  57 | 0.445312 |
| G. GRIFFITHS             |  67 |  34 |  51 |  23 | 118 |  57 | 0.483051 |
| A. WOODCOCK              |  66 |  35 |  34 |  21 | 100 |  56 | 0.56     |
| DARREN SANGES            |  73 |  26 |  77 |  29 | 150 |  55 | 0.366667 |
| LEE SNOOK                | 110 |  35 |  46 |  19 | 156 |  54 | 0.346154 |
| ALAN DAVIES              |  66 |  32 |  59 |  22 | 125 |  54 | 0.432    |
| JOHAN BERENDJY           |  86 |  43 |  32 |  10 | 118 |  53 | 0.449153 |
| M. DAVIES                |  61 |  25 |  57 |  28 | 118 |  53 | 0.449153 |
| ADRIAN DANIELS           |  52 |  25 |  59 |  28 | 111 |  53 | 0.477477 |
| RUSSELL EDWARDS          |  53 |  25 |  55 |  28 | 108 |  53 | 0.490741 |
| DAVE STOCK               |  68 |  42 |  32 |  10 | 100 |  52 | 0.52     |
| L. SEFTON                |  68 |  38 |  32 |  14 | 100 |  52 | 0.52     |
| GARETH KEMBREY           |   1 |   0 | 129 |  51 | 130 |  51 | 0.392308 |
| MIKE BOLT                |  86 |  43 |  17 |   7 | 103 |  50 | 0.485437 |
| MIKE PARRY-JONES         |  61 |  32 |  40 |  18 | 101 |  50 | 0.49505  |
| BRIAN ROGERS             |   1 |   0 | 106 |  46 | 107 |  46 | 0.429907 |
| P. KIDD                  |  64 |  31 |  40 |  15 | 104 |  46 | 0.442308 |
| K. ROBINS                |  66 |  30 |  35 |  16 | 101 |  46 | 0.455446 |
| ROB TAYLOR               |  66 |   5 |  60 |  29 | 126 |  34 | 0.269841 |
| W. EYNON                 |  98 |  25 |  34 |   7 | 132 |  32 | 0.242424 |



label: H=G/F
labeled_formulas: H=G/F
output: {"Arithmetic-Relationship": ["H=G/F"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_466030___xlsx_13ab7b3c50babc6d1c346c56157842d1df1cf0e7.xlsx___line_66