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 |
|-----:|:---------|----:|--------:|--------:|
| 2020 | FSB1130  |  50 |     105 |    5250 |
| 2020 | FSB1131  |  50 |     127 |    6350 |
| 2020 | FSB1329  |   1 |   24151 |   24151 |
| 2020 | FSB1354  |  50 |      22 |    1100 |
| 2020 | FSB1355  |  50 |    1373 |   68650 |
| 2020 | FSB1356  |  50 |    5876 |  293800 |
| 2020 | FSB1357  |  50 |    1687 |   84350 |
| 2020 | FSB1358  |  50 |      36 |    1800 |
| 2020 | FSB1527  |  10 |      23 |     230 |
| 2020 | FSB1679  |  50 |     608 |   30400 |
| 2020 | FSB1822  |  10 |      33 |     330 |
| 2020 | FSB1823  |  10 |      18 |     180 |
| 2020 | FSB1824  |  10 |      28 |     280 |
| 2020 | FSB1825  |  10 |       2 |      20 |
| 2020 | FSB1826  |  10 |      92 |     920 |
| 2020 | FSB1899  |  10 |     349 |    3490 |
| 2020 | FSB1900  |  10 |     292 |    2920 |
| 2020 | FSB1901  |  10 |      10 |     100 |
| 2020 | FSB1902  |  10 |       1 |      10 |
| 2020 | FSB1933  |  12 |     128 |    1536 |
| 2020 | FSB1935  |  12 |     846 |   10152 |
| 2020 | FSB1949  | 100 |       2 |     200 |
| 2020 | FSB1950  | 100 |       2 |     200 |
| 2020 | FSB2009  |  50 |     251 |   12550 |
| 2020 | FSB2021  |  50 |      76 |    3800 |
| 2020 | FSB2022  |  50 |     291 |   14550 |
| 2020 | FSB2029  |  50 |     253 |   12650 |
| 2020 | FSB2036  |  50 |     796 |   39800 |
| 2020 | FSB2037  |  50 |     132 |    6600 |
| 2020 | FSB2087  |  12 |      63 |     756 |
| 2020 | FSB2147  |  10 |       0 |       0 |
| 2020 | FSB2327  |  12 |       3 |      36 |
| 2020 | FSB524   |  50 |    1228 |   61400 |
| 2020 | FSB525   |  50 |    5107 |  255350 |
| 2020 | FSB526   |  50 |     505 |   25250 |
| 2020 | FSN308   |  50 |     139 |    6950 |
| 2020 | FSN309   |  50 |     396 |   19800 |
| 2020 | FSN311   |  50 |      63 |    3150 |
| 2020 | FSN341   |  10 |     207 |    2070 |
| 2020 | FSN342   |  10 |     150 |    1500 |
| 2020 | FSN343   |  10 |     640 |    6400 |
| 2020 | FSN344   |  10 |     895 |    8950 |
| 2020 | FSN429   |  10 |      70 |     700 |
| 2020 | FSN431   |  10 |     574 |    5740 |
| 2020 | FSN432   |  10 |      52 |     520 |
| 2020 | FSN433   |  10 |     124 |    1240 |
| 2020 | FSN434   |  10 |      16 |     160 |
| 2020 | FSN435   |  10 |     102 |    1020 |
| 2020 | FSN468   | 100 |       0 |       0 |
| 2020 | FSN469   | 100 |       1 |     100 |
| 2020 | FSN7355  | 100 |      64 |    6400 |
| 2020 | FSN7360  | 100 |      41 |    4100 |
| 2020 | FSN7362  | 100 |     103 |   10300 |
| 2020 | FSP20031 |  50 |      96 |    4800 |
| 2020 | FSP20033 |  50 |       1 |      50 |
| 2020 | FSP20047 |  20 |     145 |    2900 |
| 2020 | FSP20057 |  50 |      33 |    1650 |
| 2020 | FSP2148  |   1 |  797483 |  797483 |
| 2020 | FSP2149  |   1 |  559976 |  559976 |
| 2020 | FSP2155  |   1 | 2174548 | 2174548 |
| 2020 | FSP2156  |   1 |  314401 |  314401 |
| 2020 | FSP2235  |   1 |  451981 |  451981 |
| 2020 | FSP2236  |   1 |  822274 |  822274 |
| 2020 | FSP2586  |   1 |  194843 |  194843 |
| 2020 | FSP2587  |   1 |  103342 |  103342 |
| 2020 | FSP2589  |   1 |  699931 |  699931 |
| 2020 | FSP2618  |  50 |    4675 |  233750 |
| 2020 | FSP2619  |  50 |   27425 | 1371250 |
| 2020 | FSP2638  |  20 |    2837 |   56740 |
| 2020 | FSP2639  |  20 |    5717 |  114340 |
| 2020 | FSP279   |  50 |     140 |    7000 |
| 2020 | FSP299   |  50 |     387 |   19350 |
| 2020 | FSP301   |  50 |      77 |    3850 |
| 2020 | FSP319   |  25 |    3091 |   77275 |
| 2020 | FSP324   |  25 |   10300 |  257500 |
| 2020 | FSP325   |  25 |    1281 |   32025 |
| 2020 | FSP3559  |   1 |  202908 |  202908 |
| 2020 | FSP4004  |  50 |     330 |   16500 |
| 2020 | FSP4207  | 100 |       3 |     300 |
| 2020 | FSP4218  |  80 |       3 |     240 |
| 2020 | FSP4220  |  80 |       2 |     160 |
| 2020 | FSP4229  | 100 |      25 |    2500 |
| 2020 | FSP4231  | 100 |       2 |     200 |
| 2020 | FSP4240  |  80 |     226 |   18080 |
| 2020 | FSP4241  |  80 |      17 |    1360 |
| 2020 | FSP4242  |  80 |     117 |    9360 |
| 2020 | FSP4518  |  20 |       9 |     180 |
| 2020 | FSP4524  |  50 |       3 |     150 |
| 2020 | FSP4525  |  50 |       2 |     100 |
| 2020 | FSP4540  |  30 |       3 |      90 |
| 2020 | FSP4547  | 100 |       7 |     700 |
| 2020 | FSP4553  | 100 |       0 |       0 |
| 2020 | FSP4561  | 100 |       1 |     100 |
| 2020 | FSP4592  | 200 |      18 |    3600 |
| 2020 | FSP4601  | 200 |      20 |    4000 |
| 2020 | FSP4655  |  20 |     697 |   13940 |
| 2020 | FSP639   |   1 | 3641758 | 3641758 |
| 2018 | FSB1130  |  50 |     234 |   11700 |
| 2018 | FSB1131  |  50 |     131 |    6550 |
| 2018 | FSB1329  |   1 |   46333 |   46333 |
| 2018 | FSB1354  |  50 |      16 |     800 |
| 2018 | FSB1355  |  50 |    1736 |   86800 |
| 2018 | FSB1356  |  50 |    5581 |  279050 |
| 2018 | FSB1357  |  50 |    1681 |   84050 |
| 2018 | FSB1358  |  50 |      30 |    1500 |
| 2018 | FSB1527  |  10 |       4 |      40 |
| 2018 | FSB1679  |  50 |      95 |    4750 |
| 2018 | FSB1822  |  10 |      44 |     440 |
| 2018 | FSB1823  |  10 |      11 |     110 |
| 2018 | FSB1825  |  10 |      10 |     100 |
| 2018 | FSB1826  |  10 |      11 |     110 |
| 2018 | FSB1899  |  10 |     526 |    5260 |
| 2018 | FSB1900  |  10 |     308 |    3080 |
| 2018 | FSB1901  |  10 |      18 |     180 |
| 2018 | FSB1902  |  10 |      13 |     130 |
| 2018 | FSB1933  |  12 |     124 |    1488 |
| 2018 | FSB1935  |  12 |     940 |   11280 |
| 2018 | FSB1949  | 100 |       2 |     200 |
| 2018 | FSB1950  | 100 |       6 |     600 |
| 2018 | FSB2009  |  50 |       4 |     200 |
| 2018 | FSB2022  |  50 |      24 |    1200 |
| 2018 | FSB2029  |  50 |       5 |     250 |
| 2018 | FSB2036  |  50 |      62 |    3100 |
| 2018 | FSB2037  |  50 |      26 |    1300 |
| 2018 | FSB2087  |  12 |      17 |     204 |
| 2018 | FSB524   |  50 |    1515 |   75750 |
| 2018 | FSB525   |  50 |    5883 |  294150 |
| 2018 | FSB526   |  50 |     283 |   14150 |
| 2018 | FSN308   |  50 |      74 |    3700 |
| 2018 | FSN309   |  50 |     103 |    5150 |
| 2018 | FSN311   |  50 |     488 |   24400 |
| 2018 | FSN341   |  10 |     187 |    1870 |
| 2018 | FSN342   |  10 |     139 |    1390 |
| 2018 | FSN343   |  10 |     344 |    3440 |
| 2018 | FSN344   |  10 |     816 |    8160 |
| 2018 | FSN429   |  10 |      13 |     130 |
| 2018 | FSN432   |  10 |       1 |      10 |
| 2018 | FSN433   |  10 |       1 |      10 |
| 2018 | FSN434   |  10 |       3 |      30 |
| 2018 | FSP2148  |   1 |  704089 |  704089 |
| 2018 | FSP2149  |   1 |  501828 |  501828 |
| 2018 | FSP2155  |   1 | 1776382 | 1776382 |
| 2018 | FSP2156  |   1 |  215078 |  215078 |
| 2018 | FSP2235  |   1 |  362865 |  362865 |
| 2018 | FSP2236  |   1 |  647324 |  647324 |
| 2018 | FSP2586  |   1 |  148197 |  148197 |
| 2018 | FSP2587  |   1 |   79467 |   79467 |
| 2018 | FSP2589  |   1 |  522686 |  522686 |
| 2018 | FSP2618  |  50 |    2775 |  138750 |
| 2018 | FSP2619  |  50 |   18765 |  938250 |
| 2018 | FSP2638  |  20 |    1672 |   33440 |
| 2018 | FSP2639  |  20 |    4656 |   93120 |
| 2018 | FSP279   |  50 |     146 |    7300 |
| 2018 | FSP299   |  50 |     687 |   34350 |
| 2018 | FSP301   |  50 |      98 |    4900 |
| 2018 | FSP319   |  25 |    2825 |   70625 |
| 2018 | FSP324   |  25 |    8878 |  221950 |
| 2018 | FSP325   |  25 |    1115 |   27875 |
| 2018 | FSP3559  |   1 |  176141 |  176141 |
| 2018 | FSP4004  |  50 |     110 |    5500 |
| 2018 | FSP4206  | 100 |       1 |     100 |
| 2018 | FSP4207  | 100 |       1 |     100 |
| 2018 | FSP4217  |  80 |       1 |      80 |
| 2018 | FSP4218  |  80 |       1 |      80 |
| 2018 | FSP4228  | 100 |       1 |     100 |
| 2018 | FSP4229  | 100 |       1 |     100 |
| 2018 | FSP4239  |  80 |       1 |      80 |
| 2018 | FSP4240  |  80 |      11 |     880 |
| 2018 | FSP639   |   1 | 3235056 | 3235056 |
| 2019 | FSB1130  |  50 |     142 |    7100 |
| 2019 | FSB1131  |  50 |     168 |    8400 |
| 2019 | FSB1329  |   1 |   28537 |   28537 |
| 2019 | FSB1354  |  50 |      41 |    2050 |
| 2019 | FSB1355  |  50 |    1591 |   79550 |
| 2019 | FSB1356  |  50 |    5726 |  286300 |
| 2019 | FSB1357  |  50 |    1713 |   85650 |
| 2019 | FSB1358  |  50 |      62 |    3100 |
| 2019 | FSB1527  |  10 |      19 |     190 |
| 2019 | FSB1679  |  50 |     320 |   16000 |
| 2019 | FSB1822  |  10 |      47 |     470 |
| 2019 | FSB1823  |  10 |      91 |     910 |
| 2019 | FSB1824  |  10 |       1 |      10 |
| 2019 | FSB1825  |  10 |       2 |      20 |
| 2019 | FSB1826  |  10 |      21 |     210 |
| 2019 | FSB1899  |  10 |     455 |    4550 |
| 2019 | FSB1900  |  10 |     303 |    3030 |
| 2019 | FSB1901  |  10 |       1 |      10 |
| 2019 | FSB1902  |  10 |       2 |      20 |
| 2019 | FSB1933  |  12 |     132 |    1584 |
| 2019 | FSB1935  |  12 |     923 |   11076 |
| 2019 | FSB1949  | 100 |      13 |    1300 |
| 2019 | FSB1950  | 100 |      10 |    1000 |
| 2019 | FSB2009  |  50 |     184 |    9200 |
| 2019 | FSB2022  |  50 |      47 |    2350 |
| 2019 | FSB2029  |  50 |      77 |    3850 |
| 2019 | FSB2036  |  50 |     534 |   26700 |
| 2019 | FSB2037  |  50 |      47 |    2350 |
| 2019 | FSB2087  |  12 |      46 |     552 |
| 2019 | FSB524   |  50 |    1131 |   56550 |
| 2019 | FSB525   |  50 |    6039 |  301950 |
| 2019 | FSB526   |  50 |     461 |   23050 |
| 2019 | FSN308   |  50 |     175 |    8750 |
| 2019 | FSN309   |  50 |     217 |   10850 |
| 2019 | FSN311   |  50 |      61 |    3050 |
| 2019 | FSN341   |  10 |     229 |    2290 |
| 2019 | FSN342   |  10 |      97 |     970 |
| 2019 | FSN343   |  10 |     396 |    3960 |
| 2019 | FSN344   |  10 |     834 |    8340 |
| 2019 | FSN429   |  10 |      92 |     920 |
| 2019 | FSN431   |  10 |     300 |    3000 |
| 2019 | FSN432   |  10 |      12 |     120 |
| 2019 | FSN433   |  10 |       6 |      60 |
| 2019 | FSN434   |  10 |      24 |     240 |
| 2019 | FSN435   |  10 |     104 |    1040 |
| 2019 | FSP2148  |   1 |  735022 |  735022 |
| 2019 | FSP2149  |   1 |  515170 |  515170 |
| 2019 | FSP2155  |   1 | 1888293 | 1888293 |
| 2019 | FSP2156  |   1 |  261678 |  261678 |
| 2019 | FSP2235  |   1 |  389568 |  389568 |
| 2019 | FSP2236  |   1 |  696240 |  696240 |
| 2019 | FSP2586  |   1 |  150668 |  150668 |
| 2019 | FSP2587  |   1 |   95536 |   95536 |
| 2019 | FSP2589  |   1 |  519164 |  519164 |
| 2019 | FSP2618  |  50 |    3525 |  176250 |
| 2019 | FSP2619  |  50 |   20986 | 1049300 |
| 2019 | FSP2638  |  20 |    2183 |   43660 |
| 2019 | FSP2639  |  20 |    5058 |  101160 |
| 2019 | FSP279   |  50 |     171 |    8550 |
| 2019 | FSP299   |  50 |     545 |   27250 |
| 2019 | FSP301   |  50 |      90 |    4500 |
| 2019 | FSP319   |  25 |    3012 |   75300 |
| 2019 | FSP324   |  25 |    9366 |  234150 |
| 2019 | FSP325   |  25 |    1154 |   28850 |
| 2019 | FSP3559  |   1 |  194270 |  194270 |
| 2019 | FSP4004  |  50 |     277 |   13850 |
| 2019 | FSP4207  | 100 |       1 |     100 |
| 2019 | FSP4208  | 100 |       0 |       0 |
| 2019 | FSP4218  |  80 |       1 |      80 |
| 2019 | FSP4229  | 100 |       0 |       0 |
| 2019 | FSP4231  | 100 |       3 |     300 |
| 2019 | FSP4239  |  80 |       2 |     160 |
| 2019 | FSP4240  |  80 |      77 |    6160 |
| 2019 | FSP639   |   1 | 3260552 | 3260552 |



label: E=C*D
labeled_formulas: E=C*D
output: {"Arithmetic-Relationship": ["E=C*D"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_274715___xlsx_c408a1b98ffa1cf688def7b923243e9120017eb1.xlsx___line_615