n | 1 | <|im_start|>assistant | n |  |
| 2 | [Path 1]: |  | 1 | [Path 1]:
n | 3 | 0: Start of execution: Begining Search | n | 2 | 0: Start of execution: Beginning Search
| 4 | 1: Searching: query(Candidate Variable_0) |  | 3 | 1: Searching: query(Candidate Variable_0)
| 5 | 2: Searching: calculate_cost_difference(Candidate Variable_0) |  | 4 | 2: Searching: calculate_cost_difference(Candidate Variable_0)
n | 6 | 3: Searching: _14512=800 | n | 5 | 3: Searching: _14508=800
| 7 | 4: Found: 800=800 |  | 6 | 4: Found: 800=800
n | 8 | 5: Searching: _15738=260 | n | 7 | 5: Searching: _15734=260
| 9 | 6: Found: 260=260 |  | 8 | 6: Found: 260=260
n | 10 | 7: Searching: _16964=31 | n | 9 | 7: Searching: _16960=31
| 11 | 8: Found: 31=31 |  | 10 | 8: Found: 31=31
n | 12 | 9: Searching: _18190=900 | n | 11 | 9: Searching: _18186=900
| 13 | 10: Found: 900=900 |  | 12 | 10: Found: 900=900
n | 14 | 11: Searching: _19416=200 | n | 13 | 11: Searching: _19412=200
| 15 | 12: Found: 200=200 |  | 14 | 12: Found: 200=200
n | 16 | 13: Searching: _20642=21 | n | 15 | 13: Searching: _20638=21
| 17 | 14: Found: 21=21 |  | 16 | 14: Found: 21=21
n | 18 | 15: Searching: _21868=0.58 | n | 17 | 15: Searching: _21864=0.58
| 19 | 16: Found: 0.58=0.58 |  | 18 | 16: Found: 0.58=0.58
n | 20 | 17: Searching: _23100=20 | n | 19 | 17: Searching: _23096=20
| 21 | 18: Found: 20=20 |  | 20 | 18: Found: 20=20
| 22 | 19: Searching: transportation_cost(31, 0.58, 20, Candidate Variable_1) |  | 21 | 19: Searching: transportation_cost(31, 0.58, 20, Candidate Variable_1)
n | 23 | 20: Searching: _24326 is 31*0.58*20 | n | 22 | 20: Searching: _24322 is 31*0.58*20
| 24 | 21: Found: 359.6 is 31*0.58*20 |  | 23 | 21: Found: 359.6 is 31*0.58*20
| 25 | 22: Found: transportation_cost(31, 0.58, 20, 359.6) |  | 24 | 22: Found: transportation_cost(31, 0.58, 20, 359.6)
| 26 | 23: Searching: transportation_cost(21, 0.58, 20, Candidate Variable_2) |  | 25 | 23: Searching: transportation_cost(21, 0.58, 20, Candidate Variable_2)
n | 27 | 24: Searching: _26810 is 21*0.58*20 | n | 26 | 24: Searching: _26806 is 21*0.58*20
| 28 | 25: Found: 243.6 is 21*0.58*20 |  | 27 | 25: Found: 243.6 is 21*0.58*20
| 29 | 26: Found: transportation_cost(21, 0.58, 20, 243.6) |  | 28 | 26: Found: transportation_cost(21, 0.58, 20, 243.6)
| 30 | 27: Searching: total_monthly_cost(800, 260, 359.6, Candidate Variable_3) |  | 29 | 27: Searching: total_monthly_cost(800, 260, 359.6, Candidate Variable_3)
n | 31 | 28: Searching: _29294 is 800+260+359.6 | n | 30 | 28: Searching: _29290 is 800+260+359.6
| 32 | 29: Found: 1419.6 is 800+260+359.6 |  | 31 | 29: Found: 1419.6 is 800+260+359.6
| 33 | 30: Found: total_monthly_cost(800, 260, 359.6, 1419.6) |  | 32 | 30: Found: total_monthly_cost(800, 260, 359.6, 1419.6)
| 34 | 31: Searching: total_monthly_cost(900, 200, 243.6, Candidate Variable_4) |  | 33 | 31: Searching: total_monthly_cost(900, 200, 243.6, Candidate Variable_4)
n | 35 | 32: Searching: _31778 is 900+200+243.6 | n | 34 | 32: Searching: _31774 is 900+200+243.6
| 36 | 33: Found: 1343.6 is 900+200+243.6 |  | 35 | 33: Found: 1343.6 is 900+200+243.6
| 37 | 34: Found: total_monthly_cost(900, 200, 243.6, 1343.6) |  | 36 | 34: Found: total_monthly_cost(900, 200, 243.6, 1343.6)
| 38 | 35: Searching: cost_difference(1419.6, 1343.6, Candidate Variable_0) |  | 37 | 35: Searching: cost_difference(1419.6, 1343.6, Candidate Variable_0)
n | 39 | 36: Searching: _5834 is abs | n | 38 | 36: Searching: _5830 is abs
| 40 | 37: Found: 76.0 is abs |  | 39 | 37: Found: 76.0 is abs
| 41 | 38: Found: cost_difference(1419.6, 1343.6, 76.0) |  | 40 | 38: Found: cost_difference(1419.6, 1343.6, 76.0)
| 42 | 39: Found: calculate_cost_difference(76.0) |  | 41 | 39: Found: calculate_cost_difference(76.0)
| 43 | 40: Found: query(76.0) | {'Result': 'Difference = 76.0'} |  | 42 | 40: Found: query(76.0) | {'Result': 'Difference = 76.0'}
| 44 |  |  | 43 |
t | 45 | <|im_end|> | t |  |
| 46 | <|im_start|>user |  |  |
| 47 | question: Question: A man is trying to maximize the amount of money he saves each month. In particular, he is trying to decide between two different apartments. The first apartment costs $800 per month in rent and will cost an additional $260 per month in utilities. The second apartment costs $900 per month and will cost an additional $200 per month in utilities. The first apartment is slightly |  |  |

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