numbers
sequencelengths
4
4
solutions
sequencelengths
1
11
solvable
bool
1 class
amt
float64
4.36
212
solved_rate
float64
0.2
1
mean_time
float64
4.63
41.1
std_time
float64
1.25
23
[ 8, 8, 10, 12 ]
[ "(12-10)×8+8" ]
true
11.15
0.789
10.07
5.8
[ 8, 8, 10, 13 ]
[ "8/8+13+10", "13×8-10×8" ]
true
7.02
0.906
7.45
3.11
[ 8, 8, 11, 12 ]
[ "8/8+12+11" ]
true
6.19
0.91
6.59
2.71
[ 8, 8, 11, 13 ]
[ "13+11+8-8", "(13-11)×8+8" ]
true
5.64
0.971
6.16
2.3
[ 8, 8, 12, 12 ]
[ "12+12+8-8", "12×8/(12-8)" ]
true
5.38
0.987
5.82
1.96
[ 8, 8, 12, 13 ]
[ "13+12-8/8" ]
true
7.07
0.922
7.4
2.7
[ 8, 9, 9, 12 ]
[ "9×8/(12-9)" ]
true
11.79
0.826
11.1
4.78
[ 8, 9, 10, 12 ]
[ "(10+8)×12/9", "12×10/8+9" ]
true
51.92
0.431
23.06
14.34
[ 8, 9, 10, 13 ]
[ "9×8/(13-10)", "13+10+9-8" ]
true
6.96
0.96
7.48
2.71
[ 8, 9, 11, 11 ]
[ "(11-8)×11-9" ]
true
26.08
0.584
16.62
8.85
[ 8, 9, 11, 12 ]
[ "12+11+9-8" ]
true
6.87
0.951
7.55
3.1
[ 8, 9, 11, 13 ]
[ "(13+11)×(9-8)" ]
true
7.83
0.905
8.29
3.8
[ 8, 9, 12, 12 ]
[ "(12+12)×(9-8)", "(12-8)×9-12", "12×12/9+8" ]
true
5.8
0.963
6.28
2.23
[ 8, 9, 12, 13 ]
[ "13+12+8-9", "12×8/(13-9)" ]
true
6.94
0.96
7.43
2.68
[ 8, 10, 10, 12 ]
[ "12+10+10-8" ]
true
8.18
0.944
8.65
3.43
[ 8, 10, 11, 11 ]
[ "11+11+10-8" ]
true
7.13
0.95
7.55
2.78
[ 8, 10, 12, 12 ]
[ "(12+8)×12/10", "12×10-12×8" ]
true
20.55
0.633
11.9
7.62
[ 8, 10, 12, 13 ]
[ "12×10/(13-8)" ]
true
18.99
0.675
14.75
6.55
[ 8, 10, 13, 13 ]
[ "13+13+8-10" ]
true
8.03
0.925
8.41
3.36
[ 8, 11, 12, 12 ]
[ "(11-8)×12-12" ]
true
8.24
0.772
7.55
3.8
[ 9, 9, 9, 12 ]
[ "(9+9)×12/9" ]
true
19.42
0.631
10.38
7.1
[ 9, 9, 10, 13 ]
[ "9/9+13+10" ]
true
6.73
0.91
6.94
2.73
[ 9, 9, 11, 12 ]
[ "9/9+12+11", "(12-9)×11-9" ]
true
5.64
0.94
5.99
2.14
[ 9, 9, 11, 13 ]
[ "13+11+9-9" ]
true
5.82
0.969
6.39
2.41
[ 9, 9, 12, 12 ]
[ "12+12+9-9" ]
true
5.38
0.984
5.88
2.12
[ 9, 9, 12, 13 ]
[ "13+12-9/9", "(13-9)×9-12" ]
true
6.34
0.94
6.7
2.24
[ 9, 10, 10, 13 ]
[ "13+10+10-9" ]
true
7.61
0.953
8.04
3.09
[ 9, 10, 11, 12 ]
[ "12+11+10-9", "(11+9)×12/10" ]
true
6.96
0.961
7.5
2.82
[ 9, 10, 11, 13 ]
[ "(13+11)×(10-9)", "(13-10)×11-9" ]
true
8.97
0.898
9.28
3.92
[ 9, 10, 12, 12 ]
[ "(12+12)×(10-9)" ]
true
5.96
0.959
6.29
2.05
[ 9, 10, 12, 13 ]
[ "13+12+9-10" ]
true
8.3
0.935
8.87
3.64
[ 9, 11, 11, 11 ]
[ "11+11+11-9" ]
true
6.95
0.955
7.3
2.75
[ 9, 11, 12, 12 ]
[ "12×11-12×9" ]
true
21.38
0.593
11.02
6.56
[ 9, 11, 12, 13 ]
[ "(13+9)×12/11" ]
true
99.38
0.289
22.82
13.58
[ 9, 11, 13, 13 ]
[ "13+13+9-11" ]
true
7.72
0.922
8.27
3.29
[ 9, 12, 12, 12 ]
[ "(12-9)×12-12" ]
true
7.35
0.816
7.21
3.72
[ 10, 10, 10, 12 ]
[ "(10+10)×12/10" ]
true
23.18
0.597
11.12
7.61
[ 10, 10, 10, 13 ]
[ "10/10+13+10" ]
true
6.46
0.93
6.9
3.01
[ 10, 10, 11, 12 ]
[ "10/10+12+11" ]
true
6.22
0.935
6.61
2.36
[ 10, 10, 11, 13 ]
[ "13+11+10-10" ]
true
6
0.975
6.54
2.35
[ 10, 10, 12, 12 ]
[ "12+12+10-10" ]
true
5.34
0.987
5.8
1.93
[ 10, 10, 12, 13 ]
[ "13+12-10/10" ]
true
7.21
0.923
7.49
2.61
[ 10, 11, 11, 12 ]
[ "12+11+11-10" ]
true
7.45
0.968
7.93
2.82
[ 10, 11, 11, 13 ]
[ "(13+11)×(11-10)", "11/11+13+10" ]
true
6.51
0.948
6.93
2.65
[ 10, 11, 12, 12 ]
[ "(12+12)×(11-10)", "(12+10)×12/11" ]
true
6.06
0.961
6.36
2.1
[ 10, 11, 12, 13 ]
[ "13+12+10-11" ]
true
8.21
0.959
8.84
3.58
[ 10, 12, 12, 12 ]
[ "12×12-12×10" ]
true
17.98
0.641
10.76
6.08
[ 10, 12, 12, 13 ]
[ "12/12+13+10", "(13-10)×12-12" ]
true
7.37
0.901
7.8
3.55
[ 10, 12, 13, 13 ]
[ "13+13+10-12" ]
true
8.02
0.945
8.53
3.01
[ 10, 13, 13, 13 ]
[ "13/13+13+10" ]
true
6.2
0.935
6.69
2.87
[ 11, 11, 11, 12 ]
[ "(11+11)×12/11", "11/11+12+11" ]
true
5.33
0.95
5.62
1.98
[ 11, 11, 11, 13 ]
[ "13+11+11-11" ]
true
5.56
0.984
6.11
2.26
[ 11, 11, 12, 12 ]
[ "12+12+11-11" ]
true
5.15
0.988
5.54
1.87
[ 11, 11, 12, 13 ]
[ "13+12-11/11", "(13+11)×(12-11)" ]
true
6.99
0.952
7.46
2.53
[ 11, 12, 12, 12 ]
[ "12/12+12+11", "(12+12)×(12-11)" ]
true
5.44
0.979
5.77
1.88
[ 11, 12, 12, 13 ]
[ "13+12+11-12", "13×12-12×11" ]
true
6.89
0.972
7.5
2.72
[ 11, 12, 13, 13 ]
[ "13/13+12+11", "(13+11)×(13-12)" ]
true
6.26
0.953
6.74
2.49
[ 11, 13, 13, 13 ]
[ "13+13+11-13" ]
true
5.85
0.979
6.42
2.42
[ 12, 12, 12, 12 ]
[ "12+12+12-12" ]
true
5.27
0.993
5.72
2.08
[ 12, 12, 12, 13 ]
[ "(12+12)×(13-12)", "13+12-12/12" ]
true
5.79
0.975
6.13
2
[ 12, 12, 13, 13 ]
[ "13+12+12-13" ]
true
5.4
0.987
5.82
1.93
[ 12, 13, 13, 13 ]
[ "13+12-13/13", "(13+13)×12/13" ]
true
6.49
0.947
6.86
2.44