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:
| B                                     | C   | D       |    E |    F |        G |
|:--------------------------------------|:----|:--------|-----:|-----:|---------:|
| Grand Oaks                            | A   | 1Bd/1Ba | 1261 |  754 | 1.67241  |
| Grand Oaks                            | A   | 2Bd/2Ba | 1607 | 1207 | 1.3314   |
| The Hendrix                           | A   | 1Bd/1Ba |  799 |  609 | 1.31199  |
| The Hendrix                           | A   | 2Bd/2Ba |  929 |  865 | 1.07399  |
| The Hendrix                           | A   | 3Bd/1Ba | 1029 | 1063 | 0.968015 |
| Ten35 Alexander                       | A   | 1Bd/1Ba | 1200 |  824 | 1.45631  |
| Ten35 Alexander                       | A   | 1Bd/1Ba | 1330 |  909 | 1.46315  |
| Ten35 Alexander                       | A   | 2Bd/2Ba | 1480 | 1261 | 1.17367  |
| Ten35 Alexander                       | A   | 3Bd/2Ba | 1530 | 1403 | 1.09052  |
| The Lory of Perimeter                 | A   | 1Bd/1Ba |  960 |  552 | 1.73913  |
| The Lory of Perimeter                 | A   | 2Bd/2Ba | 1160 |  855 | 1.35673  |
| Gateway Crossing                      | A   | 1Bd/1Ba | 1597 |  975 | 1.63795  |
| Gateway Crossing                      | A   | 2Bd/2Ba | 1437 | 1025 | 1.40195  |
| Bradford Pointe Apartments            | A   | 1Bd/1Ba |  809 |  511 | 1.58317  |
| Bradford Pointe Apartments            | A   | 2Bd/2Ba | 1038 | 1024 | 1.01367  |
| Ansley at Town Center                 | A+  | 1Bd/1Ba | 1212 |  704 | 1.72159  |
| Ansley at Town Center                 | A+  | 2Bd/2Ba | 1545 | 1248 | 1.23798  |
| Ansley at Town Center                 | A+  | 3Bd/2Ba | 1766 | 1277 | 1.38293  |
| Argento at Riverwatch Apartments      | A+  | 1Bd/1Ba | 1349 |  702 | 1.92165  |
| Argento at Riverwatch Apartments      | A+  | 2Bd/2Ba | 1699 | 1092 | 1.55586  |
| Argento at Riverwatch Apartments      | A+  | 3Bd/2Ba | 2019 | 1409 | 1.43293  |
| The Highland                          | A+  | 1Bd/1Ba | 1330 |  746 | 1.78284  |
| Beacon Station                        | A+  | 1Bd/1Ba | 1335 |  698 | 1.91261  |
| Beacon Station                        | A+  | 2Bd/2Ba | 1881 | 1129 | 1.66608  |
| Beacon Station                        | A+  | 3Bd/2Ba | 2204 | 1469 | 1.50034  |
| Millhouse Station                     | A+  | 1Bd/1Ba | 1200 |  632 | 1.89873  |
| Millhouse Station                     | A+  | 2Bd/2Ba | 1475 |  991 | 1.4884   |
| Residence At Riverwatch               | A+  | 1Bd/1Ba | 1457 |  752 | 1.9375   |
| Residence At Riverwatch               | A+  | 2Bd/2Ba | 1789 | 1133 | 1.57899  |
| The Heron at River Island             | A+  | 1Bd/1Ba | 1260 |  645 | 1.95349  |
| The Heron at River Island             | A+  | 2Bd/2Ba | 1560 | 1147 | 1.36007  |
| Canalside                             | A+  | 1Bd/1Ba | 1358 |  710 | 1.91268  |
| IronWood Apartment Homes              | A+  | 2Bd/2Ba | 1740 | 1187 | 1.46588  |
| IronWood Apartment Homes              | A+  | 2Bd/2Ba | 1799 | 1295 | 1.38919  |
| IronWood Apartment Homes              | A+  | 2Bd/2Ba | 1654 | 1064 | 1.55451  |
| Walden Glen                           | B   | 1Bd/1Ba | 1080 |  893 | 1.20941  |
| Walden Glen                           | B   | 2Bd/2Ba | 1250 | 1254 | 0.99681  |
| Walden Glen                           | B   | 3Bd/2Ba | 1450 | 1394 | 1.04017  |
| Riverstone                            | B   | 1Bd/1Ba | 1142 |  990 | 1.15354  |
| Riverstone                            | B   | 2Bd/2Ba | 1400 | 1495 | 0.936455 |
| Riverstone                            | B   | 3Bd/2Ba | 1513 | 1440 | 1.05069  |
| Lory of Augusta                       | B   | 1Bd/1Ba |  874 |  720 | 1.21389  |
| Lory of Augusta                       | B   | 2Bd/2Ba | 1014 | 1048 | 0.967557 |
| Traditions at Augusta Apartment Homes | B   | 1Bd/1Ba | 1070 |  809 | 1.32262  |
| Traditions at Augusta Apartment Homes | B   | 2Bd/2Ba | 1205 | 1044 | 1.15421  |
| Traditions at Augusta Apartment Homes | B   | 3Bd/2Ba | 1310 | 1236 | 1.05987  |
| Sage Creek Apartments                 | B   | 2Bd/2Ba | 1095 |  972 | 1.12654  |
| Sage Creek Apartments                 | B   | 2Bd/2Ba | 1195 | 1076 | 1.11059  |
| The Estates at Perimeter              | B   | 1Bd/1Ba | 1110 |  912 | 1.21711  |
| Glen at Alexander                     | B   | 1Bd/1Ba | 1160 |  975 | 1.18974  |
| Glen at Alexander                     | B   | 3Bd/2Ba | 1425 | 1350 | 1.05556  |
| Brigham Woods Apartments              | B   | 1Bd/1Ba | 1230 |  800 | 1.5375   |
| Brigham Woods Apartments              | B   | 2Bd/2Ba | 1430 | 1200 | 1.19167  |
| Brigham Woods Apartments              | B   | 3Bd/2Ba | 1610 | 1550 | 1.03871  |
| The Jasper                            | B   | 1Bd/1Ba |  999 |  820 | 1.21829  |
| The Jasper                            | B   | 2Bd/2Ba | 1199 | 1080 | 1.11019  |
| The Jasper                            | B   | 3Bd/2Ba | 1399 | 1366 | 1.02416  |
| The Belmont                           | B   | 1Bd/1Ba |  849 |  822 | 1.03285  |
| The Belmont                           | B   | 2Bd/2Ba |  969 | 1086 | 0.892265 |
| The Belmont                           | B   | 3Bd/2Ba | 1254 | 1209 | 1.03722  |
| The Belmont                           | B   | 4Bd/3Ba | 1399 | 1460 | 0.958219 |
| Woodcrest                             | B   | 2Bd/2Ba | 1042 |  964 | 1.08091  |
| Woodhill Apartments                   | B   | 1Bd/1Ba |  930 |  775 | 1.2      |
| The Helios Apartment                  | B   | 1Bd/1Ba |  825 |  680 | 1.21324  |
| The Helios Apartment                  | B   | 2Bd/1Ba |  805 |  780 | 1.03205  |
| Shenandoah Ridge Apartments           | C   | 2Bd/1Ba |  853 |  925 | 0.922162 |
| Shenandoah Ridge Apartments           | C   | 2Bd/2Ba |  881 | 1000 | 0.881    |
| Falcon Crest Apartments               | C   | 1Bd/1Ba |  700 |  715 | 0.979021 |
| Falcon Crest Apartments               | C   | 2Bd/1Ba |  800 |  935 | 0.855615 |
| Falcon Crest Apartments               | C   | 3Bd/1Ba |  930 | 1100 | 0.845455 |
| Midtown Point Apartments              | C   | 2Bd/1Ba |  750 |  856 | 0.876168 |
| Reid Place                            | C   | 2Bd/1Ba |  749 | 1000 | 0.749    |
| Brickhaven at Augusta                 | C   | 1Bd/1Ba |  625 |  600 | 1.04167  |
| Brickhaven at Augusta                 | C   | 2Bd/1Ba |  675 |  800 | 0.84375  |
| Azlaea Park Apartments                | C   | 1Bd/1Ba |  635 |  620 | 1.02419  |
| Azlaea Park Apartments                | C   | 2Bd/1Ba |  700 |  830 | 0.843373 |
| The Landing                           | C   | 1Bd/1Ba |  680 |  750 | 0.906667 |
| The Landing                           | C   | 2Bd/1Ba |  725 |  850 | 0.852941 |
| The Landing                           | C   | 2Bd/1Ba |  809 | 1000 | 0.809    |
| The Onyx                              | C   | 2Bd/2Ba |  839 | 1100 | 0.762727 |
| Wheeler Woods Apartments              | C   | 2Bd/1Ba |  918 |  982 | 0.934827 |
| Rocky Creek                           | C   | 2Bd/2Ba | 1095 | 1100 | 0.995455 |
| Aumond Villa                          | C   | 2Bd/1Ba |  725 | 1050 | 0.690476 |
| Aumond Villa                          | C   | 3Bd/2Ba |  825 | 1410 | 0.585106 |
| Crossroads Market                     | C   | 1Bd/1Ba |  750 |  750 | 1        |
| Crossroads Market                     | C   | 2Bd/2Ba |  875 |  875 | 1        |
| Annaberg                              | C   | 2Bd/2Ba |  925 | 1290 | 0.717054 |
| Westwood Village                      | C   | 2Bd/2Ba |  800 |  980 | 0.816327 |



label: G=E/F
labeled_formulas: G=E/F
output: {"Arithmetic-Relationship": ["G=E/F"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_482679___xlsx_7fb169a337cad69e545cbb467e29c9f5f6650fe6.xlsx___line_300