Upload results/bon_results.json with huggingface_hub
Browse files- results/bon_results.json +780 -0
results/bon_results.json
ADDED
|
@@ -0,0 +1,780 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
[
|
| 2 |
+
{
|
| 3 |
+
"unique_id": "test/intermediate_algebra/1566.json",
|
| 4 |
+
"level": 3,
|
| 5 |
+
"subject": "Intermediate Algebra",
|
| 6 |
+
"ground_truth": "2k",
|
| 7 |
+
"greedy_answer": "2a + ka + \\frac{k^2a}{4}",
|
| 8 |
+
"greedy_correct": false,
|
| 9 |
+
"weighted_bon_answer": "0",
|
| 10 |
+
"weighted_bon_correct": false,
|
| 11 |
+
"standard_bon_answer": "0",
|
| 12 |
+
"standard_bon_correct": false,
|
| 13 |
+
"majority_vote_answer": "0",
|
| 14 |
+
"majority_vote_correct": false,
|
| 15 |
+
"n_correct_in_16": 0,
|
| 16 |
+
"answer_score_breakdown": {
|
| 17 |
+
"0": 0.8788591101765633,
|
| 18 |
+
"-1": 0.13640767335891724,
|
| 19 |
+
"2kh": 0.08962094038724899,
|
| 20 |
+
"2(a + c - k)": 0.08848164230585098,
|
| 21 |
+
"a(1 - 2h) + 4ak^2 - 4akh + ah^2 + k": 0.0501532219350338,
|
| 22 |
+
"2a + ah^2 + 2k": 0.05872105434536934,
|
| 23 |
+
"a + b + 2c + k - h": 0.045371297746896744,
|
| 24 |
+
"2k^2": 0.1810130625963211,
|
| 25 |
+
"4k": 0.1739559918642044,
|
| 26 |
+
"2(2k)": 0.08108767122030258,
|
| 27 |
+
"4a + b + c + e + f + 2ak": 0.020251676440238953,
|
| 28 |
+
"2d(1 + h) + b(h + c) - 2k + h": 0.03740683197975159
|
| 29 |
+
},
|
| 30 |
+
"prm_scores": [
|
| 31 |
+
0.38959258794784546,
|
| 32 |
+
0.13640767335891724,
|
| 33 |
+
0.08962094038724899,
|
| 34 |
+
0.08848164230585098,
|
| 35 |
+
0.0501532219350338,
|
| 36 |
+
0.05872105434536934,
|
| 37 |
+
0.045371297746896744,
|
| 38 |
+
0.10005511343479156,
|
| 39 |
+
0.16545328497886658,
|
| 40 |
+
0.1400100141763687,
|
| 41 |
+
0.08374810963869095,
|
| 42 |
+
0.1810130625963211,
|
| 43 |
+
0.1739559918642044,
|
| 44 |
+
0.08108767122030258,
|
| 45 |
+
0.020251676440238953,
|
| 46 |
+
0.03740683197975159
|
| 47 |
+
]
|
| 48 |
+
},
|
| 49 |
+
{
|
| 50 |
+
"unique_id": "test/algebra/1265.json",
|
| 51 |
+
"level": 2,
|
| 52 |
+
"subject": "Algebra",
|
| 53 |
+
"ground_truth": "\\frac{3}{2}",
|
| 54 |
+
"greedy_answer": "3",
|
| 55 |
+
"greedy_correct": false,
|
| 56 |
+
"weighted_bon_answer": "\\frac{3}{2}",
|
| 57 |
+
"weighted_bon_correct": true,
|
| 58 |
+
"standard_bon_answer": "\\frac{3}{2}",
|
| 59 |
+
"standard_bon_correct": true,
|
| 60 |
+
"majority_vote_answer": "\\frac{3}{2}",
|
| 61 |
+
"majority_vote_correct": true,
|
| 62 |
+
"n_correct_in_16": 12,
|
| 63 |
+
"answer_score_breakdown": {
|
| 64 |
+
"\\frac{3}{2}": 9.525228440761566,
|
| 65 |
+
"2": 0.04569903016090393,
|
| 66 |
+
"1": 0.035691916942596436,
|
| 67 |
+
"4^{\\frac{3}{2}}": 0.7074317932128906,
|
| 68 |
+
"\\frac{1}{2}": 0.02362700365483761
|
| 69 |
+
},
|
| 70 |
+
"prm_scores": [
|
| 71 |
+
0.9931477904319763,
|
| 72 |
+
0.08908459544181824,
|
| 73 |
+
0.9114416241645813,
|
| 74 |
+
0.04569903016090393,
|
| 75 |
+
0.8072997331619263,
|
| 76 |
+
0.9522070288658142,
|
| 77 |
+
0.035691916942596436,
|
| 78 |
+
0.3795792758464813,
|
| 79 |
+
0.9849416017532349,
|
| 80 |
+
0.7074317932128906,
|
| 81 |
+
0.02362700365483761,
|
| 82 |
+
0.982453465461731,
|
| 83 |
+
0.9895228743553162,
|
| 84 |
+
0.7293780446052551,
|
| 85 |
+
0.9169456958770752,
|
| 86 |
+
0.7892267107963562
|
| 87 |
+
]
|
| 88 |
+
},
|
| 89 |
+
{
|
| 90 |
+
"unique_id": "test/algebra/2036.json",
|
| 91 |
+
"level": 3,
|
| 92 |
+
"subject": "Algebra",
|
| 93 |
+
"ground_truth": "3\\sqrt{13}",
|
| 94 |
+
"greedy_answer": "3\\sqrt{13}",
|
| 95 |
+
"greedy_correct": true,
|
| 96 |
+
"weighted_bon_answer": "3\\sqrt{13}",
|
| 97 |
+
"weighted_bon_correct": true,
|
| 98 |
+
"standard_bon_answer": "3\\sqrt{13}",
|
| 99 |
+
"standard_bon_correct": true,
|
| 100 |
+
"majority_vote_answer": "3\\sqrt{13}",
|
| 101 |
+
"majority_vote_correct": true,
|
| 102 |
+
"n_correct_in_16": 16,
|
| 103 |
+
"answer_score_breakdown": {
|
| 104 |
+
"3\\sqrt{13}": 15.872192740440369
|
| 105 |
+
},
|
| 106 |
+
"prm_scores": [
|
| 107 |
+
0.9924262762069702,
|
| 108 |
+
0.9941288232803345,
|
| 109 |
+
0.9937927722930908,
|
| 110 |
+
0.996006190776825,
|
| 111 |
+
0.9884900450706482,
|
| 112 |
+
0.9937055706977844,
|
| 113 |
+
0.9957823753356934,
|
| 114 |
+
0.9897115230560303,
|
| 115 |
+
0.9855998754501343,
|
| 116 |
+
0.9935632944107056,
|
| 117 |
+
0.9969964027404785,
|
| 118 |
+
0.9893608689308167,
|
| 119 |
+
0.994041383266449,
|
| 120 |
+
0.9888609051704407,
|
| 121 |
+
0.9883406162261963,
|
| 122 |
+
0.991385817527771
|
| 123 |
+
]
|
| 124 |
+
},
|
| 125 |
+
{
|
| 126 |
+
"unique_id": "test/algebra/114.json",
|
| 127 |
+
"level": 1,
|
| 128 |
+
"subject": "Algebra",
|
| 129 |
+
"ground_truth": "4",
|
| 130 |
+
"greedy_answer": "4",
|
| 131 |
+
"greedy_correct": true,
|
| 132 |
+
"weighted_bon_answer": "4",
|
| 133 |
+
"weighted_bon_correct": true,
|
| 134 |
+
"standard_bon_answer": "4",
|
| 135 |
+
"standard_bon_correct": true,
|
| 136 |
+
"majority_vote_answer": "4",
|
| 137 |
+
"majority_vote_correct": true,
|
| 138 |
+
"n_correct_in_16": 16,
|
| 139 |
+
"answer_score_breakdown": {
|
| 140 |
+
"4": 15.427059769630432
|
| 141 |
+
},
|
| 142 |
+
"prm_scores": [
|
| 143 |
+
0.9632772207260132,
|
| 144 |
+
0.9753599762916565,
|
| 145 |
+
0.8430228233337402,
|
| 146 |
+
0.9805755615234375,
|
| 147 |
+
0.9829703569412231,
|
| 148 |
+
0.9770132899284363,
|
| 149 |
+
0.9656716585159302,
|
| 150 |
+
0.9811027646064758,
|
| 151 |
+
0.9701114296913147,
|
| 152 |
+
0.8994367718696594,
|
| 153 |
+
0.9830636382102966,
|
| 154 |
+
0.9811835289001465,
|
| 155 |
+
0.9836723208427429,
|
| 156 |
+
0.9814204573631287,
|
| 157 |
+
0.9797684550285339,
|
| 158 |
+
0.9794095158576965
|
| 159 |
+
]
|
| 160 |
+
},
|
| 161 |
+
{
|
| 162 |
+
"unique_id": "test/number_theory/847.json",
|
| 163 |
+
"level": 3,
|
| 164 |
+
"subject": "Number Theory",
|
| 165 |
+
"ground_truth": "4210_{5}",
|
| 166 |
+
"greedy_answer": "4210_5",
|
| 167 |
+
"greedy_correct": false,
|
| 168 |
+
"weighted_bon_answer": "4210_5",
|
| 169 |
+
"weighted_bon_correct": false,
|
| 170 |
+
"standard_bon_answer": "4210",
|
| 171 |
+
"standard_bon_correct": false,
|
| 172 |
+
"majority_vote_answer": "4210_5",
|
| 173 |
+
"majority_vote_correct": false,
|
| 174 |
+
"n_correct_in_16": 0,
|
| 175 |
+
"answer_score_breakdown": {
|
| 176 |
+
"422_5": 0.4499802887439728,
|
| 177 |
+
"4210_5": 5.877732008695602,
|
| 178 |
+
"111_5": 0.026935415342450142,
|
| 179 |
+
"4221_5": 0.2756074368953705,
|
| 180 |
+
"420_5": 0.11346089839935303,
|
| 181 |
+
"4444_5": 0.013120382092893124,
|
| 182 |
+
"4210": 1.7479697465896606
|
| 183 |
+
},
|
| 184 |
+
"prm_scores": [
|
| 185 |
+
0.4499802887439728,
|
| 186 |
+
0.583568274974823,
|
| 187 |
+
0.9537349343299866,
|
| 188 |
+
0.026935415342450142,
|
| 189 |
+
0.5232129096984863,
|
| 190 |
+
0.2756074368953705,
|
| 191 |
+
0.11346089839935303,
|
| 192 |
+
0.020330563187599182,
|
| 193 |
+
0.013120382092893124,
|
| 194 |
+
0.9368847012519836,
|
| 195 |
+
0.8960930109024048,
|
| 196 |
+
0.7835883498191833,
|
| 197 |
+
0.37749049067497253,
|
| 198 |
+
0.9643813967704773,
|
| 199 |
+
0.8129322528839111,
|
| 200 |
+
0.7938154339790344
|
| 201 |
+
]
|
| 202 |
+
},
|
| 203 |
+
{
|
| 204 |
+
"unique_id": "test/intermediate_algebra/1898.json",
|
| 205 |
+
"level": 3,
|
| 206 |
+
"subject": "Intermediate Algebra",
|
| 207 |
+
"ground_truth": "-5",
|
| 208 |
+
"greedy_answer": "-5",
|
| 209 |
+
"greedy_correct": true,
|
| 210 |
+
"weighted_bon_answer": "-5",
|
| 211 |
+
"weighted_bon_correct": true,
|
| 212 |
+
"standard_bon_answer": "-5",
|
| 213 |
+
"standard_bon_correct": true,
|
| 214 |
+
"majority_vote_answer": "-5",
|
| 215 |
+
"majority_vote_correct": true,
|
| 216 |
+
"n_correct_in_16": 14,
|
| 217 |
+
"answer_score_breakdown": {
|
| 218 |
+
"-5": 13.510545134544373,
|
| 219 |
+
"-17.5": 0.0118635855615139,
|
| 220 |
+
"7 \\times (-3) = -21": 0.17152179777622223
|
| 221 |
+
},
|
| 222 |
+
"prm_scores": [
|
| 223 |
+
0.990667998790741,
|
| 224 |
+
0.9914085268974304,
|
| 225 |
+
0.8539301753044128,
|
| 226 |
+
0.991192638874054,
|
| 227 |
+
0.9093068838119507,
|
| 228 |
+
0.9817348122596741,
|
| 229 |
+
0.0118635855615139,
|
| 230 |
+
0.9950287938117981,
|
| 231 |
+
0.17152179777622223,
|
| 232 |
+
0.8527193665504456,
|
| 233 |
+
0.9926127195358276,
|
| 234 |
+
0.9962577819824219,
|
| 235 |
+
0.9950143694877625,
|
| 236 |
+
0.9685443639755249,
|
| 237 |
+
0.9975405931472778,
|
| 238 |
+
0.9945861101150513
|
| 239 |
+
]
|
| 240 |
+
},
|
| 241 |
+
{
|
| 242 |
+
"unique_id": "test/intermediate_algebra/515.json",
|
| 243 |
+
"level": 2,
|
| 244 |
+
"subject": "Intermediate Algebra",
|
| 245 |
+
"ground_truth": "\\frac43",
|
| 246 |
+
"greedy_answer": "\\frac{4}{3}",
|
| 247 |
+
"greedy_correct": false,
|
| 248 |
+
"weighted_bon_answer": "\\frac{4}{3}",
|
| 249 |
+
"weighted_bon_correct": false,
|
| 250 |
+
"standard_bon_answer": "\\frac{4}{3}",
|
| 251 |
+
"standard_bon_correct": false,
|
| 252 |
+
"majority_vote_answer": "\\frac{4}{3}",
|
| 253 |
+
"majority_vote_correct": false,
|
| 254 |
+
"n_correct_in_16": 0,
|
| 255 |
+
"answer_score_breakdown": {
|
| 256 |
+
"\\frac{4}{3}": 12.993444621562958,
|
| 257 |
+
"y=\\frac{4}{3}": 0.7456207871437073
|
| 258 |
+
},
|
| 259 |
+
"prm_scores": [
|
| 260 |
+
0.9757433533668518,
|
| 261 |
+
0.9152928590774536,
|
| 262 |
+
0.9262116551399231,
|
| 263 |
+
0.9329642653465271,
|
| 264 |
+
0.8159711956977844,
|
| 265 |
+
0.973721981048584,
|
| 266 |
+
0.8773332834243774,
|
| 267 |
+
0.9459983110427856,
|
| 268 |
+
0.7456207871437073,
|
| 269 |
+
0.9413409233093262,
|
| 270 |
+
0.9691257476806641,
|
| 271 |
+
0.8798498511314392,
|
| 272 |
+
0.9651709794998169,
|
| 273 |
+
0.9703044295310974,
|
| 274 |
+
0.9156308770179749,
|
| 275 |
+
0.953955888748169
|
| 276 |
+
]
|
| 277 |
+
},
|
| 278 |
+
{
|
| 279 |
+
"unique_id": "test/prealgebra/1247.json",
|
| 280 |
+
"level": 2,
|
| 281 |
+
"subject": "Prealgebra",
|
| 282 |
+
"ground_truth": "5",
|
| 283 |
+
"greedy_answer": "5",
|
| 284 |
+
"greedy_correct": true,
|
| 285 |
+
"weighted_bon_answer": "5",
|
| 286 |
+
"weighted_bon_correct": true,
|
| 287 |
+
"standard_bon_answer": "5",
|
| 288 |
+
"standard_bon_correct": true,
|
| 289 |
+
"majority_vote_answer": "5",
|
| 290 |
+
"majority_vote_correct": true,
|
| 291 |
+
"n_correct_in_16": 14,
|
| 292 |
+
"answer_score_breakdown": {
|
| 293 |
+
"5": 13.84566581249237,
|
| 294 |
+
"6": 0.04288877546787262,
|
| 295 |
+
"7": 0.021614858880639076
|
| 296 |
+
},
|
| 297 |
+
"prm_scores": [
|
| 298 |
+
0.9874890446662903,
|
| 299 |
+
0.9890925884246826,
|
| 300 |
+
0.9906784296035767,
|
| 301 |
+
0.9951796531677246,
|
| 302 |
+
0.9833526611328125,
|
| 303 |
+
0.9943066239356995,
|
| 304 |
+
0.04288877546787262,
|
| 305 |
+
0.9912968873977661,
|
| 306 |
+
0.996322751045227,
|
| 307 |
+
0.021614858880639076,
|
| 308 |
+
0.9761733412742615,
|
| 309 |
+
0.9781678318977356,
|
| 310 |
+
0.9939509630203247,
|
| 311 |
+
0.9837079644203186,
|
| 312 |
+
0.9914649128913879,
|
| 313 |
+
0.994482159614563
|
| 314 |
+
]
|
| 315 |
+
},
|
| 316 |
+
{
|
| 317 |
+
"unique_id": "test/algebra/518.json",
|
| 318 |
+
"level": 3,
|
| 319 |
+
"subject": "Algebra",
|
| 320 |
+
"ground_truth": "\\frac 34",
|
| 321 |
+
"greedy_answer": "\\frac{4}{3}",
|
| 322 |
+
"greedy_correct": false,
|
| 323 |
+
"weighted_bon_answer": "\\frac{3}{4}",
|
| 324 |
+
"weighted_bon_correct": false,
|
| 325 |
+
"standard_bon_answer": "\\frac{3}{4}",
|
| 326 |
+
"standard_bon_correct": false,
|
| 327 |
+
"majority_vote_answer": "\\frac{3}{4}",
|
| 328 |
+
"majority_vote_correct": false,
|
| 329 |
+
"n_correct_in_16": 0,
|
| 330 |
+
"answer_score_breakdown": {
|
| 331 |
+
"\\frac{3}{4}": 8.010839819908142,
|
| 332 |
+
"\\frac{4}{3}": 0.8271265625953674,
|
| 333 |
+
"1": 0.0782640278339386,
|
| 334 |
+
"\\frac{16}{9}": 0.08907447010278702
|
| 335 |
+
},
|
| 336 |
+
"prm_scores": [
|
| 337 |
+
0.9174371957778931,
|
| 338 |
+
0.8461792469024658,
|
| 339 |
+
0.9599809050559998,
|
| 340 |
+
0.277146577835083,
|
| 341 |
+
0.8468650579452515,
|
| 342 |
+
0.9560564160346985,
|
| 343 |
+
0.4508325159549713,
|
| 344 |
+
0.9334309101104736,
|
| 345 |
+
0.7827900052070618,
|
| 346 |
+
0.2229481041431427,
|
| 347 |
+
0.9262115359306335,
|
| 348 |
+
0.9293907880783081,
|
| 349 |
+
0.7586770057678223,
|
| 350 |
+
0.0782640278339386,
|
| 351 |
+
0.08907447010278702,
|
| 352 |
+
0.09914746880531311
|
| 353 |
+
]
|
| 354 |
+
},
|
| 355 |
+
{
|
| 356 |
+
"unique_id": "test/geometry/178.json",
|
| 357 |
+
"level": 3,
|
| 358 |
+
"subject": "Geometry",
|
| 359 |
+
"ground_truth": "2",
|
| 360 |
+
"greedy_answer": "2",
|
| 361 |
+
"greedy_correct": true,
|
| 362 |
+
"weighted_bon_answer": "2",
|
| 363 |
+
"weighted_bon_correct": true,
|
| 364 |
+
"standard_bon_answer": "2",
|
| 365 |
+
"standard_bon_correct": true,
|
| 366 |
+
"majority_vote_answer": "2",
|
| 367 |
+
"majority_vote_correct": true,
|
| 368 |
+
"n_correct_in_16": 14,
|
| 369 |
+
"answer_score_breakdown": {
|
| 370 |
+
"2": 13.525502800941467,
|
| 371 |
+
"2\\sqrt{5}": 0.02531031146645546,
|
| 372 |
+
"\\sqrt{2}": 0.09983386844396591
|
| 373 |
+
},
|
| 374 |
+
"prm_scores": [
|
| 375 |
+
0.9753232598304749,
|
| 376 |
+
0.9023347496986389,
|
| 377 |
+
0.9684244990348816,
|
| 378 |
+
0.9912661910057068,
|
| 379 |
+
0.9640752673149109,
|
| 380 |
+
0.02531031146645546,
|
| 381 |
+
0.9858566522598267,
|
| 382 |
+
0.9645191431045532,
|
| 383 |
+
0.9965499639511108,
|
| 384 |
+
0.9715750217437744,
|
| 385 |
+
0.9929128289222717,
|
| 386 |
+
0.9601553082466125,
|
| 387 |
+
0.9364507794380188,
|
| 388 |
+
0.09983386844396591,
|
| 389 |
+
0.9597406387329102,
|
| 390 |
+
0.9563184976577759
|
| 391 |
+
]
|
| 392 |
+
},
|
| 393 |
+
{
|
| 394 |
+
"unique_id": "test/intermediate_algebra/860.json",
|
| 395 |
+
"level": 2,
|
| 396 |
+
"subject": "Intermediate Algebra",
|
| 397 |
+
"ground_truth": "\\text{ellipse}",
|
| 398 |
+
"greedy_answer": null,
|
| 399 |
+
"greedy_correct": false,
|
| 400 |
+
"weighted_bon_answer": "\\text{ellipse}",
|
| 401 |
+
"weighted_bon_correct": true,
|
| 402 |
+
"standard_bon_answer": "\\text{circle}",
|
| 403 |
+
"standard_bon_correct": false,
|
| 404 |
+
"majority_vote_answer": "\\text{ellipse}",
|
| 405 |
+
"majority_vote_correct": true,
|
| 406 |
+
"n_correct_in_16": 5,
|
| 407 |
+
"answer_score_breakdown": {
|
| 408 |
+
"\\text{ellipse}": 0.4748514872044325,
|
| 409 |
+
"\\text{circle}": 0.19727817177772522
|
| 410 |
+
},
|
| 411 |
+
"prm_scores": [
|
| 412 |
+
0.15957516431808472,
|
| 413 |
+
0.12498065829277039,
|
| 414 |
+
0.13995392620563507,
|
| 415 |
+
0.11687459796667099,
|
| 416 |
+
0.17295509576797485,
|
| 417 |
+
0.025766996666789055,
|
| 418 |
+
0.12410514056682587,
|
| 419 |
+
0.09207811206579208,
|
| 420 |
+
0.1817529797554016,
|
| 421 |
+
0.14232255518436432,
|
| 422 |
+
0.19727817177772522,
|
| 423 |
+
0.12983134388923645,
|
| 424 |
+
0.1009967178106308,
|
| 425 |
+
0.06759987026453018,
|
| 426 |
+
0.4757905900478363,
|
| 427 |
+
0.23078562319278717
|
| 428 |
+
]
|
| 429 |
+
},
|
| 430 |
+
{
|
| 431 |
+
"unique_id": "test/number_theory/22.json",
|
| 432 |
+
"level": 3,
|
| 433 |
+
"subject": "Number Theory",
|
| 434 |
+
"ground_truth": "2",
|
| 435 |
+
"greedy_answer": "6",
|
| 436 |
+
"greedy_correct": false,
|
| 437 |
+
"weighted_bon_answer": "2",
|
| 438 |
+
"weighted_bon_correct": true,
|
| 439 |
+
"standard_bon_answer": "2",
|
| 440 |
+
"standard_bon_correct": true,
|
| 441 |
+
"majority_vote_answer": "0",
|
| 442 |
+
"majority_vote_correct": false,
|
| 443 |
+
"n_correct_in_16": 5,
|
| 444 |
+
"answer_score_breakdown": {
|
| 445 |
+
"0": 0.18049156479537487,
|
| 446 |
+
"1": 0.22785289399325848,
|
| 447 |
+
"2": 2.4990325272083282,
|
| 448 |
+
"6": 0.7855422422289848,
|
| 449 |
+
"5": 0.1700340360403061
|
| 450 |
+
},
|
| 451 |
+
"prm_scores": [
|
| 452 |
+
0.04065684974193573,
|
| 453 |
+
0.1668420284986496,
|
| 454 |
+
0.6439529061317444,
|
| 455 |
+
0.12490694969892502,
|
| 456 |
+
0.6606352925300598,
|
| 457 |
+
0.5643002986907959,
|
| 458 |
+
0.028800513595342636,
|
| 459 |
+
0.1513165831565857,
|
| 460 |
+
0.6899784803390503,
|
| 461 |
+
0.022786086425185204,
|
| 462 |
+
0.1700340360403061,
|
| 463 |
+
0.03950735554099083,
|
| 464 |
+
0.053026698529720306,
|
| 465 |
+
0.02150350995361805,
|
| 466 |
+
0.035221416503190994,
|
| 467 |
+
0.449484258890152
|
| 468 |
+
]
|
| 469 |
+
},
|
| 470 |
+
{
|
| 471 |
+
"unique_id": "test/algebra/2551.json",
|
| 472 |
+
"level": 1,
|
| 473 |
+
"subject": "Algebra",
|
| 474 |
+
"ground_truth": "10",
|
| 475 |
+
"greedy_answer": "10",
|
| 476 |
+
"greedy_correct": true,
|
| 477 |
+
"weighted_bon_answer": "10",
|
| 478 |
+
"weighted_bon_correct": true,
|
| 479 |
+
"standard_bon_answer": "10",
|
| 480 |
+
"standard_bon_correct": true,
|
| 481 |
+
"majority_vote_answer": "10",
|
| 482 |
+
"majority_vote_correct": true,
|
| 483 |
+
"n_correct_in_16": 15,
|
| 484 |
+
"answer_score_breakdown": {
|
| 485 |
+
"10": 14.916400849819183,
|
| 486 |
+
"3": 0.3374885618686676
|
| 487 |
+
},
|
| 488 |
+
"prm_scores": [
|
| 489 |
+
0.9954132437705994,
|
| 490 |
+
0.994917631149292,
|
| 491 |
+
0.9930395483970642,
|
| 492 |
+
0.9946964979171753,
|
| 493 |
+
0.9958835244178772,
|
| 494 |
+
0.9911690950393677,
|
| 495 |
+
0.9968792200088501,
|
| 496 |
+
0.9965872764587402,
|
| 497 |
+
0.3374885618686676,
|
| 498 |
+
0.9960399866104126,
|
| 499 |
+
0.994235098361969,
|
| 500 |
+
0.9959813356399536,
|
| 501 |
+
0.9918780326843262,
|
| 502 |
+
0.9883254766464233,
|
| 503 |
+
0.9951592087745667,
|
| 504 |
+
0.9961956739425659
|
| 505 |
+
]
|
| 506 |
+
},
|
| 507 |
+
{
|
| 508 |
+
"unique_id": "test/algebra/24.json",
|
| 509 |
+
"level": 1,
|
| 510 |
+
"subject": "Algebra",
|
| 511 |
+
"ground_truth": "2000",
|
| 512 |
+
"greedy_answer": "2000",
|
| 513 |
+
"greedy_correct": true,
|
| 514 |
+
"weighted_bon_answer": "2000",
|
| 515 |
+
"weighted_bon_correct": true,
|
| 516 |
+
"standard_bon_answer": "2000",
|
| 517 |
+
"standard_bon_correct": true,
|
| 518 |
+
"majority_vote_answer": "2000",
|
| 519 |
+
"majority_vote_correct": true,
|
| 520 |
+
"n_correct_in_16": 15,
|
| 521 |
+
"answer_score_breakdown": {
|
| 522 |
+
"2000": 14.198634266853333
|
| 523 |
+
},
|
| 524 |
+
"prm_scores": [
|
| 525 |
+
0.9872841835021973,
|
| 526 |
+
0.9413870573043823,
|
| 527 |
+
0.9889976382255554,
|
| 528 |
+
0.9923239946365356,
|
| 529 |
+
0.9830780625343323,
|
| 530 |
+
0.9846431016921997,
|
| 531 |
+
0.9720523953437805,
|
| 532 |
+
0.9805113673210144,
|
| 533 |
+
0.9480443000793457,
|
| 534 |
+
0.9811661839485168,
|
| 535 |
+
0.9770664572715759,
|
| 536 |
+
0.7148209810256958,
|
| 537 |
+
0.846014678478241,
|
| 538 |
+
0.7874448895454407,
|
| 539 |
+
0.9811532497406006,
|
| 540 |
+
0.9200906157493591
|
| 541 |
+
]
|
| 542 |
+
},
|
| 543 |
+
{
|
| 544 |
+
"unique_id": "test/intermediate_algebra/1714.json",
|
| 545 |
+
"level": 1,
|
| 546 |
+
"subject": "Intermediate Algebra",
|
| 547 |
+
"ground_truth": "(5,\\infty)",
|
| 548 |
+
"greedy_answer": "(5, \\infty)",
|
| 549 |
+
"greedy_correct": false,
|
| 550 |
+
"weighted_bon_answer": "(5, \\infty)",
|
| 551 |
+
"weighted_bon_correct": false,
|
| 552 |
+
"standard_bon_answer": "(5, \\infty)",
|
| 553 |
+
"standard_bon_correct": false,
|
| 554 |
+
"majority_vote_answer": "(5, \\infty)",
|
| 555 |
+
"majority_vote_correct": false,
|
| 556 |
+
"n_correct_in_16": 0,
|
| 557 |
+
"answer_score_breakdown": {
|
| 558 |
+
"(5, \\infty)": 9.382436901330948,
|
| 559 |
+
"(-\\infty, 5) \\cup (5, \\infty)": 0.05053659901022911,
|
| 560 |
+
"(-\\infty, 5)": 0.29756873846054077,
|
| 561 |
+
"(-\\infty, 5) \\cup (5, +\\infty)": 0.042136698961257935
|
| 562 |
+
},
|
| 563 |
+
"prm_scores": [
|
| 564 |
+
0.9431021809577942,
|
| 565 |
+
0.9451705813407898,
|
| 566 |
+
0.9344722628593445,
|
| 567 |
+
0.8696272373199463,
|
| 568 |
+
0.05053659901022911,
|
| 569 |
+
0.8996963500976562,
|
| 570 |
+
0.8450660109519958,
|
| 571 |
+
0.8897750377655029,
|
| 572 |
+
0.6697665452957153,
|
| 573 |
+
0.9658312797546387,
|
| 574 |
+
0.8602502942085266,
|
| 575 |
+
0.793439507484436,
|
| 576 |
+
0.9303714036941528,
|
| 577 |
+
0.2990742623806,
|
| 578 |
+
0.29756873846054077,
|
| 579 |
+
0.042136698961257935
|
| 580 |
+
]
|
| 581 |
+
},
|
| 582 |
+
{
|
| 583 |
+
"unique_id": "test/precalculus/541.json",
|
| 584 |
+
"level": 2,
|
| 585 |
+
"subject": "Precalculus",
|
| 586 |
+
"ground_truth": "\\left( \\frac{3}{2}, -13 \\right)",
|
| 587 |
+
"greedy_answer": "\\left( \\frac{3}{2}, -13 \\right)",
|
| 588 |
+
"greedy_correct": true,
|
| 589 |
+
"weighted_bon_answer": "\\left( \\frac{3}{2}, -13 \\right)",
|
| 590 |
+
"weighted_bon_correct": true,
|
| 591 |
+
"standard_bon_answer": "\\left(\\frac{3}{2}, -13\\right)",
|
| 592 |
+
"standard_bon_correct": false,
|
| 593 |
+
"majority_vote_answer": "\\left( \\frac{3}{2}, -13 \\right)",
|
| 594 |
+
"majority_vote_correct": true,
|
| 595 |
+
"n_correct_in_16": 8,
|
| 596 |
+
"answer_score_breakdown": {
|
| 597 |
+
"\\left(\\frac{3}{2}, -13\\right)": 2.828850492835045,
|
| 598 |
+
"\\left( \\frac{3}{2}, -13 \\right)": 6.08513518422842,
|
| 599 |
+
"(1, -1)": 0.004213116597384214,
|
| 600 |
+
"\\left(m, b\\right) = (0, -13)": 0.039167147129774094,
|
| 601 |
+
"\\left(\\frac{3}{2}, 23\\right)": 0.014369720593094826,
|
| 602 |
+
"(3, -25)": 0.08800287544727325
|
| 603 |
+
},
|
| 604 |
+
"prm_scores": [
|
| 605 |
+
0.6061789989471436,
|
| 606 |
+
0.9395573735237122,
|
| 607 |
+
0.004213116597384214,
|
| 608 |
+
0.039167147129774094,
|
| 609 |
+
0.2117328941822052,
|
| 610 |
+
0.014369720593094826,
|
| 611 |
+
0.12005805224180222,
|
| 612 |
+
0.9928120970726013,
|
| 613 |
+
0.897468626499176,
|
| 614 |
+
0.9848745465278625,
|
| 615 |
+
0.9866357445716858,
|
| 616 |
+
0.9895706176757812,
|
| 617 |
+
0.08800287544727325,
|
| 618 |
+
0.9581692814826965,
|
| 619 |
+
0.24028877913951874,
|
| 620 |
+
0.9866386651992798
|
| 621 |
+
]
|
| 622 |
+
},
|
| 623 |
+
{
|
| 624 |
+
"unique_id": "test/geometry/248.json",
|
| 625 |
+
"level": 2,
|
| 626 |
+
"subject": "Geometry",
|
| 627 |
+
"ground_truth": "5",
|
| 628 |
+
"greedy_answer": "5",
|
| 629 |
+
"greedy_correct": true,
|
| 630 |
+
"weighted_bon_answer": "5",
|
| 631 |
+
"weighted_bon_correct": true,
|
| 632 |
+
"standard_bon_answer": "5",
|
| 633 |
+
"standard_bon_correct": true,
|
| 634 |
+
"majority_vote_answer": "5",
|
| 635 |
+
"majority_vote_correct": true,
|
| 636 |
+
"n_correct_in_16": 16,
|
| 637 |
+
"answer_score_breakdown": {
|
| 638 |
+
"5": 15.969408690929413
|
| 639 |
+
},
|
| 640 |
+
"prm_scores": [
|
| 641 |
+
0.9981712102890015,
|
| 642 |
+
0.9989147186279297,
|
| 643 |
+
0.9964959025382996,
|
| 644 |
+
0.9971887469291687,
|
| 645 |
+
0.9961889386177063,
|
| 646 |
+
0.9972904920578003,
|
| 647 |
+
0.9975918531417847,
|
| 648 |
+
0.9987127780914307,
|
| 649 |
+
0.9991645812988281,
|
| 650 |
+
0.9987006187438965,
|
| 651 |
+
0.9983342289924622,
|
| 652 |
+
0.9986819624900818,
|
| 653 |
+
0.9985302686691284,
|
| 654 |
+
0.9986613988876343,
|
| 655 |
+
0.9977825284004211,
|
| 656 |
+
0.9989984631538391
|
| 657 |
+
]
|
| 658 |
+
},
|
| 659 |
+
{
|
| 660 |
+
"unique_id": "test/number_theory/1032.json",
|
| 661 |
+
"level": 3,
|
| 662 |
+
"subject": "Number Theory",
|
| 663 |
+
"ground_truth": "2220",
|
| 664 |
+
"greedy_answer": "2",
|
| 665 |
+
"greedy_correct": false,
|
| 666 |
+
"weighted_bon_answer": "222",
|
| 667 |
+
"weighted_bon_correct": false,
|
| 668 |
+
"standard_bon_answer": "222",
|
| 669 |
+
"standard_bon_correct": false,
|
| 670 |
+
"majority_vote_answer": "222",
|
| 671 |
+
"majority_vote_correct": false,
|
| 672 |
+
"n_correct_in_16": 2,
|
| 673 |
+
"answer_score_breakdown": {
|
| 674 |
+
"222": 1.5699958242475986,
|
| 675 |
+
"2220": 1.2304129600524902,
|
| 676 |
+
"2": 0.050813913345336914,
|
| 677 |
+
"232": 0.015271982178092003,
|
| 678 |
+
"60": 0.1477309763431549,
|
| 679 |
+
"22": 0.027951523661613464,
|
| 680 |
+
"\\text{No such number exists}": 0.016663117334246635,
|
| 681 |
+
"225": 0.04364263266324997
|
| 682 |
+
},
|
| 683 |
+
"prm_scores": [
|
| 684 |
+
0.2567778527736664,
|
| 685 |
+
0.5941802263259888,
|
| 686 |
+
0.028183938935399055,
|
| 687 |
+
0.015271982178092003,
|
| 688 |
+
0.1477309763431549,
|
| 689 |
+
0.4586124122142792,
|
| 690 |
+
0.025898529216647148,
|
| 691 |
+
0.02262997440993786,
|
| 692 |
+
0.7697120308876038,
|
| 693 |
+
0.053086504340171814,
|
| 694 |
+
0.027951523661613464,
|
| 695 |
+
0.016663117334246635,
|
| 696 |
+
0.04364263266324997,
|
| 697 |
+
0.03180702403187752,
|
| 698 |
+
0.6362327337265015,
|
| 699 |
+
0.028957907110452652
|
| 700 |
+
]
|
| 701 |
+
},
|
| 702 |
+
{
|
| 703 |
+
"unique_id": "test/number_theory/45.json",
|
| 704 |
+
"level": 3,
|
| 705 |
+
"subject": "Number Theory",
|
| 706 |
+
"ground_truth": "23",
|
| 707 |
+
"greedy_answer": "15",
|
| 708 |
+
"greedy_correct": false,
|
| 709 |
+
"weighted_bon_answer": "23",
|
| 710 |
+
"weighted_bon_correct": true,
|
| 711 |
+
"standard_bon_answer": "23",
|
| 712 |
+
"standard_bon_correct": true,
|
| 713 |
+
"majority_vote_answer": "23",
|
| 714 |
+
"majority_vote_correct": true,
|
| 715 |
+
"n_correct_in_16": 8,
|
| 716 |
+
"answer_score_breakdown": {
|
| 717 |
+
"143": 0.16297440230846405,
|
| 718 |
+
"23": 5.357615023851395,
|
| 719 |
+
"55": 0.10273180902004242,
|
| 720 |
+
"683": 0.008670372888445854
|
| 721 |
+
},
|
| 722 |
+
"prm_scores": [
|
| 723 |
+
0.015562820248305798,
|
| 724 |
+
0.6751413345336914,
|
| 725 |
+
0.8827845454216003,
|
| 726 |
+
0.011336199007928371,
|
| 727 |
+
0.03494024649262428,
|
| 728 |
+
0.25825634598731995,
|
| 729 |
+
0.9719118475914001,
|
| 730 |
+
0.10273180902004242,
|
| 731 |
+
0.5386189818382263,
|
| 732 |
+
0.07233847677707672,
|
| 733 |
+
0.012693990021944046,
|
| 734 |
+
0.8937028646469116,
|
| 735 |
+
0.3831983804702759,
|
| 736 |
+
0.008670372888445854,
|
| 737 |
+
0.754000723361969,
|
| 738 |
+
0.01610266976058483
|
| 739 |
+
]
|
| 740 |
+
},
|
| 741 |
+
{
|
| 742 |
+
"unique_id": "test/intermediate_algebra/431.json",
|
| 743 |
+
"level": 1,
|
| 744 |
+
"subject": "Intermediate Algebra",
|
| 745 |
+
"ground_truth": "(a+5)(b+2)",
|
| 746 |
+
"greedy_answer": "(a + 5)(b + 2)",
|
| 747 |
+
"greedy_correct": false,
|
| 748 |
+
"weighted_bon_answer": "(a + 5)(b + 2)",
|
| 749 |
+
"weighted_bon_correct": false,
|
| 750 |
+
"standard_bon_answer": "(a + 5)(b + 2)",
|
| 751 |
+
"standard_bon_correct": false,
|
| 752 |
+
"majority_vote_answer": "(a + 5)(b + 2)",
|
| 753 |
+
"majority_vote_correct": false,
|
| 754 |
+
"n_correct_in_16": 1,
|
| 755 |
+
"answer_score_breakdown": {
|
| 756 |
+
"(a + 5)(b + 2)": 9.67332112789154,
|
| 757 |
+
"(b + 2)(a + 5)": 3.951826512813568,
|
| 758 |
+
"(a+5)(b+2)": 0.9961338043212891,
|
| 759 |
+
"b(ab + 5) + 2(a + 5)": 0.2790054976940155
|
| 760 |
+
},
|
| 761 |
+
"prm_scores": [
|
| 762 |
+
0.9980248212814331,
|
| 763 |
+
0.998023509979248,
|
| 764 |
+
0.9921653270721436,
|
| 765 |
+
0.998106837272644,
|
| 766 |
+
0.9981840252876282,
|
| 767 |
+
0.7056999802589417,
|
| 768 |
+
0.9969874024391174,
|
| 769 |
+
0.9956356883049011,
|
| 770 |
+
0.9968495965003967,
|
| 771 |
+
0.9970625042915344,
|
| 772 |
+
0.9912362098693848,
|
| 773 |
+
0.9936162233352661,
|
| 774 |
+
0.9961338043212891,
|
| 775 |
+
0.9657171964645386,
|
| 776 |
+
0.9978383183479309,
|
| 777 |
+
0.2790054976940155
|
| 778 |
+
]
|
| 779 |
+
}
|
| 780 |
+
]
|