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step
int64
1
73
cot_avg
float64
1
9.86
cot_std
float64
0
4.43
answer_avg
float64
2.81
8.88
answer_std
float64
2.08
3.99
n
int64
32
256
n_none
int64
0
0
1
8.71875
1.178834
6.875
2.087912
32
0
2
7.46875
2.957875
5.25
2.872281
32
0
3
5.8125
3.273354
5.125
3.497767
32
0
4
7.09375
3.440198
5.65625
2.922
32
0
5
5.5625
4.061538
4.15625
3.173222
32
0
6
7.5625
3.316036
5.71875
3.114827
32
0
7
7.46875
2.936669
5.9375
3.061224
32
0
8
6.71875
2.94994
6.21875
2.88026
32
0
9
6
3.596874
5
3.191786
32
0
10
6.5625
2.914806
5.59375
2.881616
32
0
11
5.6875
2.674387
6.4375
2.075715
32
0
12
4.1875
3.045873
4.96875
2.698198
32
0
13
3.59375
2.523135
4.71875
2.907258
32
0
14
2.125
1.74553
4
2.680951
32
0
15
1.78125
1.408332
4.5625
2.714976
32
0
16
2.03125
1.570915
4.15625
2.916648
32
0
17
1.40625
1.246479
4.78125
2.780899
32
0
18
1.4375
1.273222
5.3125
3.045873
32
0
19
1.46875
1.274372
4.59375
3.060427
32
0
20
1
0
4.84375
3.042505
32
0
21
1.03125
0.173993
5
2.795085
32
0
22
1.875
1.883315
5.59375
2.924673
32
0
23
1.6875
1.569982
4.625
3.461846
32
0
24
1.71875
1.60535
5.4375
2.77193
32
0
25
1.4375
1.223149
5.5625
2.585265
32
0
26
1.375
1.082532
5.59375
2.793512
32
0
27
1.0625
0.242061
4.4375
2.794386
32
0
28
1.53125
1.224346
4.59375
2.924673
32
0
29
1.5625
1.801692
4.5
3
32
0
30
1
0
3.8125
2.941487
32
0
31
1.8125
2.442303
5.5
3.482097
32
0
32
2.625
3.342435
3.8125
3.367468
32
0
33
1.5625
2.178553
4.1875
3.404386
32
0
34
1.3125
1.569982
2.8125
2.732187
32
0
35
1.03125
0.173993
3.5
2.772634
32
0
36
1.3125
1.569982
5.0625
3.071416
32
0
37
1
0
3.03125
2.744134
32
0
38
1.34375
1.593137
4.1875
3.225266
32
0
39
1.125
0.695971
5.3125
3.025284
32
0
40
1.25
1.391941
4.40625
3.444737
32
0
41
1.03125
0.173993
4.6875
2.952091
32
0
42
1
0
4.5625
3.445445
32
0
43
1.4375
1.766662
6.28125
3.203849
32
0
44
1
0
7.59375
3.190409
32
0
45
1.28125
1.565934
7.46875
3.427685
32
0
46
4.375
4.357106
6.78125
3.688956
32
0
47
5.6875
4.433096
7
3.535534
32
0
48
8.53125
3.041221
7.09375
3.503207
32
0
49
6.9375
4.234807
6.0625
3.840064
32
0
50
7.40625
4.022277
4.96875
3.932909
32
0
51
7.46875
4.046483
6
3.758324
32
0
52
7.375
4.021427
6.6875
3.74531
32
0
53
6.34375
4.420191
8.875
2.630946
32
0
54
4.84375
4.330916
7.40625
3.773753
32
0
55
3.59375
4.022277
6.15625
3.985202
32
0
56
2.71875
3.502092
8.4375
2.560975
32
0
57
1.625
2.190177
7.40625
3.525438
32
0
58
1.46875
1.853786
7.4375
3.325446
32
0
59
1.84375
2.623325
5.75
3.856812
32
0
60
1.1875
0.768013
7.28125
3.384102
32
0
61
1.03125
0.173993
6.25
3.733296
32
0
62
1.28125
1.565934
8.75
2.304886
32
0
63
1.28125
1.565934
7.1875
3.186274
32
0
64
1.34375
1.593137
6.125
3.479853
32
0
65
1.3125
1.569982
6.3125
3.395194
32
0
66
1
0
6.15625
3.632401
32
0
67
1
0
6.375
3.149901
32
0
68
1.59375
2.177432
5.625
3.333073
32
0
69
1
0
7.375
3.049078
32
0
70
1
0
5.65625
3.821071
32
0
71
1.90625
2.626302
5.0625
3.815573
32
0
72
1.84375
2.623325
7.09375
2.876189
32
0
73
1.28125
1.565934
7.71875
2.400968
32
0
1
7.542969
3.044929
5.523438
2.955305
256
0
2
6.492188
3.677414
5.242188
3.103038
256
0
3
7.808594
2.955147
5.980469
2.76763
256
0
4
7.054688
3.541735
5.566406
2.971789
256
0
5
7.394531
2.970659
5.832031
2.848915
256
0
6
6.4375
3.673703
5.164063
3.12944
256
0
7
7.042969
3.52476
5.484375
3.156057
256
0
8
8.445313
2.816826
6.851563
2.605852
256
0
9
8.433594
2.794296
6.59375
2.635211
256
0
10
8.644531
2.743353
6.792969
2.832586
256
0
11
8.382813
3.10524
6.539063
3.150899
256
0
12
7.261719
3.642986
5.65625
3.664521
256
0
13
8.925781
2.602275
7.242188
3.326612
256
0
14
9.351563
1.807492
7.722656
3.17295
256
0
15
9.695313
1.308378
7.988281
3.197267
256
0
16
9.855469
0.774729
8.863281
2.355359
256
0
17
9.84375
0.883331
8.84375
2.5722
256
0

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