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 |         I |
|----:|-----------:|------:|:-------------|:------|:-------------------|-----:|----------:|----------:|
|   1 |  201801001 | 43106 | 排气管       | A0001 | 排气管端面板       | 1200 |  3.37953  |  4055.43  |
|   2 |  201801001 | 43106 | 排气管       | A0002 | 排气管前段管       |  600 |  5.58934  |  3353.6   |
|   3 |  201801001 | 43106 | 排气管       | A0003 | 排气管中段管       | 1800 |  2.42024  |  4356.43  |
|   4 |  201801001 | 43106 | 排气管       | A0004 | 排气管后段管       |  600 |  5.9052   |  3543.12  |
|   5 |  201801001 | 43106 | 排气管       | A0017 | 排气管前端法兰盘   | 1800 | 10.4221   | 18759.7   |
|   6 |  201801001 | 43106 | 排气管       | A0019 | 前消支架           | 1200 |  1.03398  |  1240.77  |
|   7 |  201801001 | 43106 | 排气管       | A0020 | 后消支架           | 1200 |  0.873959 |  1048.75  |
|   8 |  201801001 | 43106 | 排气管       | A0021 | 前消前段管         |  600 |  3.49119  |  2094.72  |
|   9 |  201801001 | 43106 | 排气管       | A0022 | 前消后段管         | 1200 |  4.00695  |  4808.34  |
|  10 |  201801002 | 43107 | 车间辅料     | B0001 | 后氧传感器螺母     | 8550 |  1.97323  | 16871.2   |
|  11 |  201801002 | 43107 | 车间辅料     | B0002 | 连接盘             | 3500 |  2.02549  |  7089.23  |
|  12 |  201801002 | 43107 | 车间辅料     | B0003 | 螺栓               | 5000 |  0.293886 |  1469.43  |
|  13 |  201801002 | 43107 | 车间辅料     | B0004 | 悬挂橡胶块         | 2500 |  2.14     |  5350     |
|  14 |  201801002 | 43107 | 车间辅料     | B0005 | 螺钉               | 1200 |  0.1      |   120     |
|  15 |  201801002 | 43107 | 车间辅料     | B0006 | 密封环             | 1000 |  2.68433  |  2684.33  |
|  16 |  201801003 | 43108 | 消声器       | A0005 | 消声器进气管前段管 | 1400 |  1.40222  |  1963.11  |
|  17 |  201801003 | 43108 | 消声器       | A0006 | 消声器筒体合件     | 1400 | 44.4967   | 62295.4   |
|  18 |  201801003 | 43108 | 消声器       | A0007 | 消声器隔热罩       |  700 |  4.38984  |  3072.89  |
|  19 |  201801003 | 43108 | 消声器       | A0008 | 消声器尾管         | 1400 |  9.49483  | 13292.8   |
|  20 |  201801003 | 43108 | 消声器       | A0009 | 消声器前加强板     |  700 |  0.79041  |   553.287 |
|  21 |  201801003 | 43108 | 消声器       | A0010 | 消声器后加强板     |  700 |  0.493689 |   345.582 |
|  22 |  201801003 | 43108 | 消声器       | A0019 | 前消支架           |  700 |  1.03398  |   723.785 |
|  23 |  201801003 | 43108 | 消声器       | A0020 | 后消支架           |  700 |  0.873959 |   611.771 |
|  24 |  201801003 | 43108 | 消声器       | A0021 | 前消前段管         | 2100 |  3.49119  |  7331.51  |
|  25 |  201801003 | 43108 | 消声器       | A0022 | 前消后段管         | 1400 |  4.00695  |  5609.73  |
|  26 |  201801003 | 43108 | 消声器       | A0023 | 后消前段管         | 2100 |  4.02419  |  8450.81  |
|  27 |  201801003 | 43108 | 消声器       | A0024 | 后消尾管           |  700 | 17.878    | 12514.6   |
|  28 |  201801004 | 43109 | 波纹管       | A0011 | 波纹管组成         |  600 | 16.6122   |  9967.34  |
|  29 |  201801004 | 43109 | 波纹管       | A0012 | 筒体吊钩           | 1200 |  1.01473  |  1217.68  |
|  30 |  201801004 | 43109 | 波纹管       | A0013 | 尾管吊钩           | 1200 |  1.29495  |  1553.94  |
|  31 |  201801004 | 43109 | 波纹管       | A0014 | 导电嘴             | 1800 |  1.59259  |  2866.65  |
|  32 |  201801004 | 43109 | 波纹管       | A0015 | 氩气               | 1200 | 27.4738   | 32968.6   |
|  33 |  201801004 | 43109 | 波纹管       | A0016 | 二氧化碳           |  600 | 21.0116   | 12606.9   |
|  34 |  201801004 | 43109 | 波纹管       | A0018 | 三元催化器隔热板E4 |  600 |  2.45     |  1470     |
|  35 |  201801005 | 42752 | 排气管       | A0001 | 排气管端面板       | 1600 |  3.37953  |  5407.24  |
|  36 |  201801005 | 42752 | 排气管       | A0002 | 排气管前段管       |  800 |  5.58934  |  4471.47  |
|  37 |  201801005 | 42752 | 排气管       | A0003 | 排气管中段管       | 2400 |  2.42024  |  5808.57  |
|  38 |  201801005 | 42752 | 排气管       | A0004 | 排气管后段管       |  800 |  5.9052   |  4724.16  |
|  39 |  201801005 | 42752 | 排气管       | A0017 | 排气管前端法兰盘   | 2400 | 10.4221   | 25013     |
|  40 |  201801005 | 42752 | 排气管       | A0019 | 前消支架           | 1600 |  1.03398  |  1654.37  |
|  41 |  201801005 | 42752 | 排气管       | A0020 | 后消支架           | 1600 |  0.873959 |  1398.33  |
|  42 |  201801005 | 42752 | 排气管       | A0021 | 前消前段管         |  800 |  3.49119  |  2792.96  |
|  43 |  201801005 | 42752 | 排气管       | A0022 | 前消后段管         | 1600 |  4.00695  |  6411.12  |
|  44 |  201801006 | 42753 | 消声器       | A0005 | 消声器进气管前段管 | 1400 |  1.40222  |  1963.11  |
|  45 |  201801006 | 42753 | 消声器       | A0006 | 消声器筒体合件     | 1400 | 44.4967   | 62295.4   |
|  46 |  201801006 | 42753 | 消声器       | A0007 | 消声器隔热罩       |  700 |  4.38984  |  3072.89  |
|  47 |  201801006 | 42753 | 消声器       | A0008 | 消声器尾管         | 1400 |  9.49483  | 13292.8   |
|  48 |  201801006 | 42753 | 消声器       | A0009 | 消声器前加强板     |  700 |  0.79041  |   553.287 |
|  49 |  201801006 | 42753 | 消声器       | A0010 | 消声器后加强板     |  700 |  0.493689 |   345.582 |
|  50 |  201801006 | 42753 | 消声器       | A0019 | 前消支架           |  700 |  1.03398  |   723.785 |
|  51 |  201801006 | 42753 | 消声器       | A0020 | 后消支架           |  700 |  0.873959 |   611.771 |
|  52 |  201801006 | 42753 | 消声器       | A0021 | 前消前段管         | 2100 |  3.49119  |  7331.51  |
|  53 |  201801006 | 42753 | 消声器       | A0022 | 前消后段管         | 1400 |  4.00695  |  5609.73  |
|  54 |  201801006 | 42753 | 消声器       | A0023 | 后消前段管         | 2100 |  4.02419  |  8450.81  |
|  55 |  201801006 | 42753 | 消声器       | A0024 | 后消尾管           |  700 | 17.878    | 12514.6   |
|  56 | 2018010007 | 42754 | 研发领料     | A0002 | 排气管前段管       |  300 |  5.58934  |  1676.8   |
|  57 | 2018010007 | 42754 | 研发领料     | A0004 | 排气管后段管       |  300 |  5.9052   |  1771.56  |
|  58 | 2018010007 | 42754 | 研发领料     | A0007 | 消声器隔热罩       |  300 |  4.38984  |  1316.95  |
|  59 | 2018010007 | 42754 | 研发领料     | A0009 | 消声器前加强板     |  300 |  0.79041  |   237.123 |
|  60 | 2018010007 | 42754 | 研发领料     | A0010 | 消声器后加强板     |  300 |  0.493689 |   148.107 |
|  61 | 2018010007 | 42754 | 研发领料     | A0011 | 波纹管组成         |  300 | 16.6122   |  4983.67  |
|  62 | 2018010007 | 42754 | 研发领料     | A0014 | 导电嘴             |  300 |  1.59259  |   477.776 |
|  63 | 2018010007 | 42754 | 研发领料     | A0018 | 三元催化器隔热板E4 |  300 |  2.45     |   735     |
|  64 | 2018010007 | 42754 | 研发领料     | B0002 | 连接盘             |  300 |  2.02549  |   607.648 |
|  65 | 2018010007 | 42754 | 研发领料     | B0004 | 悬挂橡胶块         |  300 |  2.14     |   642     |
|  66 | 2018010007 | 42754 | 研发领料     | B0006 | 密封环             |  300 |  2.68433  |   805.3   |
|  67 |  201801008 | 42755 | 波纹管       | A0011 | 波纹管组成         |  900 | 16.6122   | 14951     |
|  68 |  201801008 | 42755 | 波纹管       | A0012 | 筒体吊钩           | 1800 |  1.01473  |  1826.52  |
|  69 |  201801008 | 42755 | 波纹管       | A0013 | 尾管吊钩           | 1800 |  1.29495  |  2330.91  |
|  70 |  201801008 | 42755 | 波纹管       | A0014 | 导电嘴             | 2700 |  1.59259  |  4299.98  |
|  71 |  201801008 | 42755 | 波纹管       | A0015 | 氩气               | 1800 | 27.4738   | 49452.9   |
|  72 |  201801008 | 42755 | 波纹管       | A0016 | 二氧化碳           |  900 | 21.0116   | 18910.4   |
|  73 |  201801008 | 42755 | 波纹管       | A0018 | 三元催化器隔热板E4 |  900 |  2.45     |  2205     |
|  74 |  201801009 | 42757 | 车间辅料     | B0001 | 后氧传感器螺母     | 5000 |  1.97323  |  9866.17  |
|  75 |  201801009 | 42757 | 车间辅料     | B0002 | 连接盘             | 4000 |  2.02549  |  8101.97  |
|  76 |  201801009 | 42757 | 车间辅料     | B0003 | 螺栓               | 6000 |  0.293886 |  1763.31  |
|  77 |  201801009 | 42757 | 车间辅料     | B0004 | 悬挂橡胶块         | 5000 |  2.14     | 10700     |
|  78 |  201801009 | 42757 | 车间辅料     | B0005 | 螺钉               | 4000 |  0.1      |   400     |
|  79 |  201801009 | 42757 | 车间辅料     | B0006 | 密封环             | 3000 |  2.68433  |  8053     |
|  80 |  201801010 | 42758 | 行政办公领料 | B0003 | 螺栓               |  500 |  0.293886 |   146.943 |
|  81 |  201801010 | 42758 | 行政办公领料 | B0005 | 螺钉               |  400 |  0.1      |    40     |
|  82 |  201801011 | 42760 | 排气管       | A0001 | 排气管端面板       | 1000 |  3.37953  |  3379.53  |
|  83 |  201801011 | 42760 | 排气管       | A0002 | 排气管前段管       |  500 |  5.58934  |  2794.67  |
|  84 |  201801011 | 42760 | 排气管       | A0003 | 排气管中段管       | 1500 |  2.42024  |  3630.36  |
|  85 |  201801011 | 42760 | 排气管       | A0004 | 排气管后段管       |  500 |  5.9052   |  2952.6   |
|  86 |  201801011 | 42760 | 排气管       | A0017 | 排气管前端法兰盘   | 1500 | 10.4221   | 15633.1   |
|  87 |  201801011 | 42760 | 排气管       | A0019 | 前消支架           | 1000 |  1.03398  |  1033.98  |
|  88 |  201801011 | 42760 | 排气管       | A0020 | 后消支架           | 1000 |  0.873959 |   873.959 |
|  89 |  201801011 | 42760 | 排气管       | A0021 | 前消前段管         |  500 |  3.49119  |  1745.6   |
|  90 |  201801011 | 42760 | 排气管       | A0022 | 前消后段管         | 1000 |  4.00695  |  4006.95  |
|  91 |  201801012 | 42761 | 消声器       | A0005 | 消声器进气管前段管 | 1000 |  1.40222  |  1402.22  |
|  92 |  201801012 | 42761 | 消声器       | A0006 | 消声器筒体合件     | 1000 | 44.4967   | 44496.7   |
|  93 |  201801012 | 42761 | 消声器       | A0007 | 消声器隔热罩       |  500 |  4.38984  |  2194.92  |
|  94 |  201801012 | 42761 | 消声器       | A0008 | 消声器尾管         | 1000 |  9.49483  |  9494.83  |
|  95 |  201801012 | 42761 | 消声器       | A0009 | 消声器前加强板     |  500 |  0.79041  |   395.205 |
|  96 |  201801012 | 42761 | 消声器       | A0010 | 消声器后加强板     |  500 |  0.493689 |   246.844 |
|  97 |  201801012 | 42761 | 消声器       | A0019 | 前消支架           |  500 |  1.03398  |   516.989 |
|  98 |  201801012 | 42761 | 消声器       | A0020 | 后消支架           |  500 |  0.873959 |   436.98  |
|  99 |  201801012 | 42761 | 消声器       | A0021 | 前消前段管         | 1500 |  3.49119  |  5236.79  |
| 100 |  201801012 | 42761 | 消声器       | A0022 | 前消后段管         | 1000 |  4.00695  |  4006.95  |
| 101 |  201801012 | 42761 | 消声器       | A0023 | 后消前段管         | 1500 |  4.02419  |  6036.29  |
| 102 |  201801012 | 42761 | 消声器       | A0024 | 后消尾管           |  500 | 17.878    |  8939.02  |
| 103 |  201801013 | 42764 | 波纹管       | A0011 | 波纹管组成         | 1000 | 16.6122   | 16612.2   |
| 104 |  201801013 | 42764 | 波纹管       | A0012 | 筒体吊钩           | 2000 |  1.01473  |  2029.46  |
| 105 |  201801013 | 42764 | 波纹管       | A0013 | 尾管吊钩           | 2000 |  1.29495  |  2589.9   |
| 106 |  201801013 | 42764 | 波纹管       | A0014 | 导电嘴             | 3000 |  1.59259  |  4777.76  |
| 107 |  201801013 | 42764 | 波纹管       | A0015 | 氩气               | 2000 | 27.4738   | 54947.7   |
| 108 |  201801013 | 42764 | 波纹管       | A0016 | 二氧化碳           | 1000 | 21.0116   | 21011.6   |
| 109 |  201801013 | 42764 | 波纹管       | A0018 | 三元催化器隔热板E4 | 1000 |  2.45     |  2450     |



label: I=G*H
labeled_formulas: I=G*H
output: {"Arithmetic-Relationship": ["I=G*H"]}
source: $MMTU_HOME/resources/Relationship-finding/AR/table_737684___xlsx_969fe4f58823b23c5042b19457c696f605432ba6.xlsx___line_420