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 |
|------:|-----:|-----:|-----:|------:|
| 36526 | 1860 | 6060 |  955 |  8875 |
| 36557 | 1915 | 6060 |  955 |  8930 |
| 36586 | 1860 | 5945 |  915 |  8720 |
| 36617 | 1820 | 5935 |  915 |  8670 |
| 36647 | 1815 | 5920 |  925 |  8660 |
| 36678 | 1825 | 5965 |  960 |  8750 |
| 36708 | 1870 | 5970 |  945 |  8785 |
| 36739 | 1955 | 5825 |  910 |  8690 |
| 36770 | 1930 | 5735 |  875 |  8540 |
| 36800 | 1810 | 5635 |  865 |  8310 |
| 36831 | 1795 | 5600 |  860 |  8255 |
| 36861 | 1770 | 5595 |  835 |  8200 |
| 36892 | 1705 | 5720 |  850 |  8275 |
| 36923 | 1695 | 5615 |  800 |  8110 |
| 36951 | 1700 | 5370 |  750 |  7820 |
| 36982 | 1665 | 5355 |  750 |  7770 |
| 37012 | 1695 | 5395 |  750 |  7840 |
| 37043 | 1720 | 5470 |  745 |  7935 |
| 37073 | 1740 | 5415 |  720 |  7875 |
| 37104 | 1805 | 5410 |  710 |  7925 |
| 37135 | 1795 | 5360 |  720 |  7875 |
| 37165 | 1795 | 5450 |  715 |  7960 |
| 37196 | 1845 | 5430 |  710 |  7985 |
| 37226 | 1865 | 5435 |  715 |  8015 |
| 37257 | 1860 | 5555 |  745 |  8160 |
| 37288 | 1835 | 5340 |  710 |  7885 |
| 37316 | 1870 | 5285 |  715 |  7870 |
| 37347 | 1920 | 5475 |  715 |  8110 |
| 37377 | 1890 | 5455 |  730 |  8075 |
| 37408 | 1930 | 5535 |  740 |  8205 |
| 37438 | 1955 | 5455 |  745 |  8155 |
| 37469 | 2045 | 5455 |  735 |  8235 |
| 37500 | 2090 | 5455 |  755 |  8300 |
| 37530 | 2050 | 5445 |  755 |  8250 |
| 37561 | 2065 | 5440 |  745 |  8250 |
| 37591 | 2015 | 5380 |  740 |  8135 |
| 37622 | 1940 | 5430 |  760 |  8130 |
| 37653 | 2015 | 5505 |  760 |  8280 |
| 37681 | 1980 | 5500 |  760 |  8240 |
| 37712 | 2005 | 5525 |  770 |  8300 |
| 37742 | 2000 | 5640 |  775 |  8415 |
| 37773 | 2040 | 5655 |  790 |  8485 |
| 37803 | 2090 | 5545 |  775 |  8410 |
| 37834 | 2135 | 5460 |  775 |  8370 |
| 37865 | 2175 | 5415 |  745 |  8335 |
| 37895 | 2225 | 5390 |  765 |  8380 |
| 37926 | 2245 | 5370 |  770 |  8385 |
| 37956 | 2180 | 5360 |  775 |  8315 |
| 37987 | 2175 | 5400 |  790 |  8365 |
| 38018 | 2170 | 5290 |  790 |  8250 |
| 38047 | 2140 | 5305 |  790 |  8235 |
| 38078 | 2180 | 5300 |  795 |  8275 |
| 38108 | 2145 | 5250 |  800 |  8195 |
| 38139 | 2120 | 5175 |  790 |  8085 |
| 38169 | 2155 | 5025 |  800 |  7980 |
| 38200 | 2315 | 4905 |  815 |  8035 |
| 38231 | 2320 | 4840 |  800 |  7960 |
| 38261 | 2260 | 4730 |  785 |  7775 |
| 38292 | 2175 | 4595 |  790 |  7560 |
| 38322 | 2155 | 4560 |  785 |  7500 |
| 38353 | 2155 | 4625 |  795 |  7575 |
| 38384 | 2195 | 4595 |  800 |  7590 |
| 38412 | 2250 | 4600 |  805 |  7655 |
| 38443 | 2285 | 4670 |  810 |  7765 |
| 38473 | 2290 | 4605 |  815 |  7710 |
| 38504 | 2280 | 4570 |  810 |  7660 |
| 38534 | 2460 | 4575 |  810 |  7845 |
| 38565 | 2660 | 4660 |  815 |  8135 |
| 38596 | 2695 | 4705 |  825 |  8225 |
| 38626 | 2680 | 4720 |  810 |  8210 |
| 38657 | 2575 | 4785 |  825 |  8185 |
| 38687 | 2480 | 4835 |  820 |  8135 |
| 38718 | 2345 | 4800 |  820 |  7965 |
| 38749 | 2390 | 4910 |  830 |  8130 |
| 38777 | 2460 | 5045 |  870 |  8375 |
| 38808 | 2525 | 5140 |  915 |  8580 |
| 38838 | 2460 | 5175 |  910 |  8545 |
| 38869 | 2490 | 5190 |  925 |  8605 |
| 38899 | 2640 | 5165 |  955 |  8760 |
| 38930 | 2685 | 5200 |  955 |  8840 |
| 38961 | 2725 | 5265 |  995 |  8985 |
| 38991 | 2615 | 5275 |  990 |  8880 |
| 39022 | 2515 | 5210 | 1000 |  8725 |
| 39052 | 2470 | 5075 |  995 |  8540 |
| 39083 | 2395 | 4950 | 1000 |  8345 |
| 39114 | 2395 | 5065 | 1000 |  8460 |
| 39142 | 2405 | 5070 | 1020 |  8495 |
| 39173 | 2350 | 5035 | 1020 |  8405 |
| 39203 | 2230 | 4975 | 1020 |  8225 |
| 39234 | 2195 | 4915 | 1000 |  8110 |
| 39264 | 2260 | 4840 |  990 |  8090 |
| 39295 | 2410 | 4750 |  975 |  8135 |
| 39326 | 2425 | 4725 |  980 |  8130 |
| 39356 | 2245 | 4700 |  990 |  7935 |
| 39387 | 2150 | 4685 |  980 |  7815 |
| 39417 | 2125 | 4475 |  965 |  7565 |
| 39448 | 2060 | 4550 |  965 |  7575 |
| 39479 | 2100 | 4545 |  990 |  7635 |
| 39508 | 2125 | 4485 |  985 |  7595 |
| 39539 | 2065 | 4395 |  990 |  7450 |
| 39569 | 2045 | 4455 |  985 |  7485 |
| 39600 | 2035 | 4430 | 1000 |  7465 |
| 39630 | 2130 | 4345 |  985 |  7460 |
| 39661 | 2345 | 4420 | 1005 |  7770 |
| 39692 | 2395 | 4500 | 1015 |  7910 |
| 39722 | 2325 | 4595 | 1040 |  7960 |
| 39753 | 2380 | 4720 | 1070 |  8170 |
| 39783 | 2395 | 4875 | 1070 |  8340 |
| 39814 | 2415 | 5050 | 1130 |  8595 |
| 39845 | 2635 | 5480 | 1155 |  9270 |
| 39873 | 2835 | 5715 | 1175 |  9725 |
| 39904 | 2820 | 5860 | 1200 |  9880 |
| 39934 | 2830 | 6010 | 1235 | 10075 |
| 39965 | 2815 | 6065 | 1260 | 10140 |
| 39995 | 3065 | 6130 | 1255 | 10450 |
| 40026 | 3190 | 6160 | 1280 | 10630 |
| 40057 | 3180 | 6180 | 1270 | 10630 |
| 40087 | 3080 | 6220 | 1295 | 10595 |
| 40118 | 3010 | 6105 | 1275 | 10390 |
| 40148 | 2900 | 5965 | 1265 | 10130 |
| 40179 | 2945 | 6070 | 1285 | 10300 |
| 40210 | 3000 | 6165 | 1320 | 10485 |
| 40238 | 2905 | 6135 | 1325 | 10365 |
| 40269 | 2740 | 6055 | 1345 | 10140 |
| 40299 | 2710 | 6185 | 1375 | 10270 |
| 40330 | 2580 | 6040 | 1395 | 10015 |
| 40360 | 2695 | 5965 | 1400 | 10060 |
| 40391 | 2825 | 5920 | 1425 | 10170 |
| 40422 | 2845 | 5965 | 1410 | 10220 |
| 40452 | 2770 | 5865 | 1425 | 10060 |
| 40483 | 2690 | 5845 | 1390 |  9925 |
| 40513 | 2675 | 5825 | 1430 |  9930 |
| 40544 | 2690 | 5950 | 1450 | 10090 |
| 40575 | 2765 | 6035 | 1465 | 10265 |
| 40603 | 2740 | 6045 | 1470 | 10255 |
| 40634 | 2750 | 6155 | 1500 | 10405 |
| 40664 | 2690 | 6260 | 1525 | 10475 |
| 40695 | 2660 | 6305 | 1540 | 10505 |
| 40725 | 3035 | 6285 | 1555 | 10875 |
| 40756 | 3395 | 6345 | 1590 | 11330 |
| 40787 | 3455 | 6305 | 1580 | 11340 |
| 40817 | 3420 | 6415 | 1600 | 11435 |
| 40848 | 3290 | 6370 | 1615 | 11275 |
| 40878 | 3155 | 6310 | 1645 | 11110 |
| 40909 | 3110 | 6345 | 1665 | 11120 |
| 40940 | 3195 | 6485 | 1675 | 11355 |
| 40969 | 3080 | 6390 | 1680 | 11150 |
| 41000 | 2945 | 6280 | 1675 | 10900 |
| 41030 | 2775 | 6110 | 1675 | 10560 |
| 41061 | 2750 | 6110 | 1695 | 10555 |
| 41091 | 2825 | 6020 | 1695 | 10540 |
| 41122 | 2860 | 6020 | 1685 | 10565 |
| 41153 | 2935 | 6105 | 1720 | 10760 |
| 41183 | 2950 | 6235 | 1720 | 10905 |
| 41214 | 2920 | 6310 | 1715 | 10945 |
| 41244 | 2675 | 6195 | 1715 | 10585 |
| 41275 | 2645 | 6255 | 1720 | 10620 |
| 41306 | 2670 | 6310 | 1710 | 10690 |
| 41334 | 2530 | 6145 | 1720 | 10395 |
| 41365 | 2405 | 6030 | 1720 | 10155 |
| 41395 | 2325 | 5890 | 1690 |  9905 |
| 41426 | 2315 | 5730 | 1670 |  9715 |
| 41456 | 2345 | 5545 | 1645 |  9535 |
| 41487 | 2395 | 5490 | 1625 |  9510 |



label: D=(E-B-C)
labeled_formulas: D=(E-B-C)
output: {"Arithmetic-Relationship": ["D=(E-B-C)"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_250464___xlsx_6f9e92d08182843e95a877f37e28a9af2e43c2ef.xlsx___line_423