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
[ 6, 6, 11, 13 ]
[ "(6+6)×(13-11)", "13+11+6-6", "(11+6-13)×6" ]
true
5.81
0.979
6.31
2.21
[ 6, 6, 12, 12 ]
[ "12+12+6-6", "(12-6)×6-12" ]
true
5.75
0.984
6.3
2.32
[ 6, 6, 12, 13 ]
[ "13+12-6/6" ]
true
7.24
0.904
7.7
3.17
[ 6, 7, 7, 10 ]
[ "(7+7-10)×6" ]
true
14.08
0.722
11.24
5.54
[ 6, 7, 7, 11 ]
[ "7×6-11-7" ]
true
50.13
0.43
28.85
15.28
[ 6, 7, 8, 9 ]
[ "8×6/(9-7)" ]
true
10.26
0.845
10.02
4.61
[ 6, 7, 8, 10 ]
[ "(7+6-10)×8", "7×6-10-8", "(8-6)×7+10" ]
true
8.11
0.914
8.61
3.65
[ 6, 7, 8, 11 ]
[ "(11+7)×8/6", "(8+7-11)×6" ]
true
10.8
0.837
10.54
5.2
[ 6, 7, 8, 12 ]
[ "(8+6)×12/7" ]
true
65.75
0.405
18.06
13.1
[ 6, 7, 9, 9 ]
[ "7×6-9-9", "(9+7)×9/6", "(9-7)×9+6" ]
true
12.04
0.806
11.2
6.1
[ 6, 7, 9, 12 ]
[ "(9+7-12)×6", "(9-7)×6+12" ]
true
10.11
0.864
10.04
4.91
[ 6, 7, 10, 10 ]
[ "(10-7)×10-6" ]
true
14.86
0.703
11.18
6.19
[ 6, 7, 10, 12 ]
[ "12×7/6+10", "12×7-10×6", "12×6/(10-7)" ]
true
10.92
0.851
10.85
4.89
[ 6, 7, 10, 13 ]
[ "13+10+7-6", "(13-7)×(10-6)", "(10+7-13)×6" ]
true
7.07
0.967
7.62
2.81
[ 6, 7, 11, 11 ]
[ "(11-6)×7-11" ]
true
35.8
0.47
20.51
10.45
[ 6, 7, 11, 12 ]
[ "(7+6-11)×12", "12+11+7-6", "(12-6)×(11-7)" ]
true
6.36
0.97
6.9
2.62
[ 6, 7, 11, 13 ]
[ "(13+11)×(7-6)" ]
true
7.6
0.901
8.01
3.52
[ 6, 7, 12, 12 ]
[ "(12+12)×(7-6)" ]
true
5.58
0.958
5.95
2.03
[ 6, 7, 12, 13 ]
[ "13+12+6-7", "(13-7)×6-12" ]
true
6.8
0.955
7.31
2.78
[ 6, 8, 8, 8 ]
[ "(8-6)×8+8" ]
true
7.08
0.882
7.54
3.59
[ 6, 8, 8, 9 ]
[ "9×8-8×6", "(8+8)×9/6" ]
true
20.38
0.628
12.06
7.29
[ 6, 8, 8, 10 ]
[ "8×6/(10-8)", "(10+8)×8/6", "(10-6)×8-8" ]
true
8.37
0.91
8.83
4.04
[ 6, 8, 8, 11 ]
[ "(8+6-11)×8" ]
true
8.75
0.871
8.86
3.95
[ 6, 8, 8, 12 ]
[ "12×8/6+8", "(8+8-12)×6" ]
true
11.41
0.882
11.61
5.06
[ 6, 8, 9, 9 ]
[ "(9+9)×8/6", "9×8/(9-6)" ]
true
10.32
0.862
10.33
4.3
[ 6, 8, 9, 10 ]
[ "(10-8)×9+6" ]
true
17.26
0.711
13.34
7.45
[ 6, 8, 9, 11 ]
[ "8×6/(11-9)" ]
true
10.24
0.844
10.15
4.86
[ 6, 8, 9, 12 ]
[ "9×8/6+12", "(9+6-12)×8" ]
true
11.91
0.865
11.86
5.1
[ 6, 8, 9, 13 ]
[ "13+9+8-6", "(9+8-13)×6" ]
true
8.83
0.941
9.46
3.94
[ 6, 8, 10, 11 ]
[ "(11-8)×10-6" ]
true
21.39
0.639
14.37
7.76
[ 6, 8, 10, 12 ]
[ "8×6/(12-10)", "12+10+8-6", "(10+6)×12/8", "12×8/(10-6)", "(10-8)×6+12" ]
true
6.77
0.974
7.35
2.8
[ 6, 8, 10, 13 ]
[ "(10+6-13)×8" ]
true
8.65
0.865
8.73
3.87
[ 6, 8, 11, 11 ]
[ "11+11+8-6" ]
true
7.03
0.942
7.56
3.11
[ 6, 8, 11, 12 ]
[ "12×6/(11-8)" ]
true
14.04
0.778
12.57
5.81
[ 6, 8, 11, 13 ]
[ "8×6-13-11", "8×6/(13-11)" ]
true
9.35
0.862
9.65
4.65
[ 6, 8, 12, 12 ]
[ "(8+6-12)×12", "8×6-12-12", "12×8-12×6", "(12-6)×(12-8)", "12×12/8+6" ]
true
9.09
0.914
9.71
4.3
[ 6, 8, 13, 13 ]
[ "13+13+6-8" ]
true
7.5
0.933
7.95
3.12
[ 6, 9, 9, 10 ]
[ "10×9/6+9" ]
true
76.54
0.328
34.74
19.4
[ 6, 9, 9, 11 ]
[ "(9-6)×11-9", "(11-9)×9+6" ]
true
10.63
0.825
9.98
5.16
[ 6, 9, 9, 12 ]
[ "12+9+9-6" ]
true
12.51
0.868
12.4
5.83
[ 6, 9, 10, 11 ]
[ "11+10+9-6", "10×9-11×6" ]
true
9.99
0.915
10.29
4.13
[ 6, 9, 10, 12 ]
[ "(10-6)×9-12", "(12-9)×10-6", "(12-10)×9+6" ]
true
13.09
0.802
11.83
6.18
[ 6, 9, 11, 12 ]
[ "(11-9)×6+12" ]
true
13.81
0.75
11.45
6.17
[ 6, 9, 11, 13 ]
[ "(13-11)×9+6" ]
true
13.77
0.72
10.75
6.33
[ 6, 9, 12, 12 ]
[ "(9-6)×12-12", "(12+6)×12/9", "12×6/(12-9)" ]
true
6.97
0.893
7.53
3.73
[ 6, 9, 12, 13 ]
[ "(9+6-13)×12", "(12-6)×(13-9)", "12/6+13+9" ]
true
10.59
0.882
10.68
4.41
[ 6, 10, 10, 10 ]
[ "10+10+10-6" ]
true
6.51
0.959
6.78
2.28
[ 6, 10, 10, 13 ]
[ "(13-10)×10-6" ]
true
15.32
0.689
11.43
6.41
[ 6, 10, 11, 12 ]
[ "12×10/(11-6)" ]
true
17.58
0.692
13.65
6.66
[ 6, 10, 12, 12 ]
[ "12/6+12+10", "(12-10)×6+12" ]
true
10.08
0.887
10.37
4.61
[ 6, 10, 12, 13 ]
[ "12×6/(13-10)" ]
true
11
0.824
10.46
4.9
[ 6, 11, 11, 12 ]
[ "12/6+11+11" ]
true
10.16
0.866
10.02
4.05
[ 6, 11, 12, 12 ]
[ "(12×11+12)/6" ]
true
71.72
0.357
16.59
9.98
[ 6, 11, 12, 13 ]
[ "(13-11)×6+12" ]
true
10.69
0.802
9.84
5.1
[ 6, 12, 12, 12 ]
[ "12×12/(12-6)" ]
true
14.38
0.759
12.07
6.97
[ 6, 12, 12, 13 ]
[ "(13×12-12)/6" ]
true
65.31
0.376
15.89
9.01
[ 6, 12, 13, 13 ]
[ "13+13-12/6" ]
true
9.95
0.873
10
3.82
[ 7, 7, 7, 12 ]
[ "(7+7)×12/7" ]
true
16.45
0.645
9.38
6.22
[ 7, 7, 8, 11 ]
[ "(7+7-11)×8" ]
true
11.36
0.801
10.37
4.67
[ 7, 7, 9, 10 ]
[ "(9-7)×7+10" ]
true
13
0.757
11.52
5.28
[ 7, 7, 10, 13 ]
[ "7/7+13+10" ]
true
6.88
0.899
7.2
3.18
[ 7, 7, 11, 12 ]
[ "7/7+12+11", "(12-7)×7-11" ]
true
5.49
0.938
5.83
2.13
[ 7, 7, 11, 13 ]
[ "13+11+7-7", "(13-7)×(11-7)" ]
true
5.87
0.977
6.42
2.37
[ 7, 7, 12, 12 ]
[ "(7+7-12)×12", "12+12+7-7" ]
true
5.22
0.986
5.59
1.84
[ 7, 7, 12, 13 ]
[ "7×7-13-12", "13+12-7/7" ]
true
6.26
0.939
6.69
2.37
[ 7, 8, 8, 9 ]
[ "(9-7)×8+8" ]
true
7.39
0.864
7.82
3.96
[ 7, 8, 8, 10 ]
[ "10×8-8×7" ]
true
21.4
0.613
12.87
8.33
[ 7, 8, 8, 11 ]
[ "(11-7)×8-8" ]
true
8.89
0.809
8.38
4.53
[ 7, 8, 8, 12 ]
[ "(8+7-12)×8" ]
true
11.16
0.831
10.67
4.69
[ 7, 8, 8, 13 ]
[ "(13+8)×8/7" ]
true
88.81
0.298
27.73
15.99
[ 7, 8, 9, 10 ]
[ "9×8/(10-7)" ]
true
12.36
0.796
11.28
5.51
[ 7, 8, 9, 12 ]
[ "(12+9)×8/7", "(9+7)×12/8" ]
true
43.05
0.482
16.76
10.32
[ 7, 8, 9, 13 ]
[ "(9+7-13)×8" ]
true
10.33
0.839
9.99
4.35
[ 7, 8, 10, 10 ]
[ "(10-8)×7+10" ]
true
11.82
0.792
11.02
5.21
[ 7, 8, 10, 11 ]
[ "(11+10)×8/7" ]
true
104.51
0.299
26.05
15.84
[ 7, 8, 10, 13 ]
[ "13+10+8-7" ]
true
8.96
0.922
9.51
4.18
[ 7, 8, 11, 12 ]
[ "12+11+8-7", "12×8/(11-7)" ]
true
6.7
0.962
7.16
2.69
[ 7, 8, 11, 13 ]
[ "(13+11)×(8-7)", "(13-8)×7-11" ]
true
8.04
0.906
8.61
3.9
[ 7, 8, 12, 12 ]
[ "(12+12)×(8-7)" ]
true
5.72
0.96
6.15
2.16
[ 7, 8, 12, 13 ]
[ "(8+7-13)×12", "13+12+7-8", "(13-7)×(12-8)" ]
true
6.91
0.967
7.4
2.62
[ 7, 9, 9, 13 ]
[ "13+9+9-7" ]
true
10.42
0.878
10.49
4.67
[ 7, 9, 10, 11 ]
[ "(10-7)×11-9", "(11-9)×7+10" ]
true
12.71
0.774
11.18
5.49
[ 7, 9, 10, 12 ]
[ "12+10+9-7" ]
true
7.39
0.941
7.95
3.25
[ 7, 9, 11, 11 ]
[ "11+11+9-7" ]
true
6.38
0.958
6.86
2.66
[ 7, 9, 11, 12 ]
[ "(11+7)×12/9", "(11-7)×9-12" ]
true
37.51
0.503
18.63
10.96
[ 7, 9, 12, 12 ]
[ "12×9-12×7" ]
true
15.98
0.642
9.71
5.73
[ 7, 9, 13, 13 ]
[ "13+13+7-9", "(13-7)×(13-9)" ]
true
6.91
0.965
7.48
2.77
[ 7, 10, 10, 11 ]
[ "11+10+10-7" ]
true
7.38
0.937
7.72
2.98
[ 7, 10, 10, 12 ]
[ "(12-10)×7+10" ]
true
12.68
0.778
11.52
5.48
[ 7, 10, 11, 13 ]
[ "(13-11)×7+10" ]
true
13.72
0.74
11.37
5.96
[ 7, 10, 12, 12 ]
[ "(10-7)×12-12", "12×10/(12-7)" ]
true
7.8
0.847
7.89
3.92
[ 7, 10, 12, 13 ]
[ "(13+7)×12/10" ]
true
67.34
0.376
22.94
13.2
[ 7, 12, 12, 13 ]
[ "12×12/(13-7)", "(13×12+12)/7" ]
true
9.38
0.828
9.14
4.24
[ 8, 8, 8, 10 ]
[ "(10-8)×8+8" ]
true
6.53
0.902
6.84
2.94
[ 8, 8, 8, 11 ]
[ "11×8-8×8" ]
true
18.2
0.632
10.83
6.35
[ 8, 8, 8, 12 ]
[ "(8+8)×12/8", "(12-8)×8-8" ]
true
7.64
0.882
8.02
4.01
[ 8, 8, 8, 13 ]
[ "(8+8-13)×8" ]
true
9.44
0.843
9.4
4.42
[ 8, 8, 9, 11 ]
[ "9×8/(11-8)", "(11-9)×8+8" ]
true
7.27
0.894
7.82
3.81
[ 8, 8, 9, 12 ]
[ "12×8-9×8" ]
true
25.95
0.568
13.14
7.83
[ 8, 8, 9, 13 ]
[ "(13-9)×8-8" ]
true
9.36
0.811
8.94
4.86