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
[ 4, 4, 4, 5 ]
[ "(4/4+5)×4" ]
true
8.03
0.85
8.05
3.95
[ 4, 4, 4, 6 ]
[ "6×4+4-4" ]
true
5.27
0.982
5.66
1.95
[ 4, 4, 4, 7 ]
[ "(4+4)×(7-4)", "(7-4/4)×4" ]
true
7.55
0.914
7.94
3.42
[ 4, 4, 4, 8 ]
[ "8×4-4-4", "(4+4)×4-8", "(4-4/4)×8", "(8/4+4)×4" ]
true
6.89
0.963
7.49
2.9
[ 4, 4, 4, 9 ]
[ "(9-4)×4+4" ]
true
8.61
0.881
8.62
4.06
[ 4, 4, 4, 10 ]
[ "10×4-4×4", "(4×4-10)×4" ]
true
15.27
0.765
13.03
6.5
[ 4, 4, 4, 11 ]
[ "(11-4)×4-4" ]
true
8.69
0.863
8.87
4.6
[ 4, 4, 4, 12 ]
[ "12+4+4+4", "(4+4)×12/4", "4×4+12-4" ]
true
7.04
0.965
7.49
2.91
[ 4, 4, 5, 5 ]
[ "5×5-4/4", "(5+5-4)×4", "(4/5+4)×5" ]
true
6.75
0.933
7.25
2.65
[ 4, 4, 5, 6 ]
[ "(5-4/4)×6", "(5-4)×6×4" ]
true
6.3
0.958
6.62
2.25
[ 4, 4, 5, 7 ]
[ "(7+4-5)×4" ]
true
9.96
0.852
9.63
4.6
[ 4, 4, 5, 8 ]
[ "(4+4)×(8-5)", "(4+4-5)×8", "8×5-4×4", "5×4+8-4", "(8-4)×5+4" ]
true
7.44
0.96
7.82
2.63
[ 4, 4, 5, 10 ]
[ "(10-5)×4+4", "(10/5+4)×4" ]
true
9.34
0.859
9.35
4.79
[ 4, 4, 5, 11 ]
[ "11+5+4+4", "11×4-5×4" ]
true
11.59
0.852
11.38
4.8
[ 4, 4, 5, 12 ]
[ "(5+4)×4-12", "(12-5)×4-4" ]
true
13.64
0.791
12.1
6.42
[ 4, 4, 5, 13 ]
[ "4×4+13-5" ]
true
16.19
0.724
12.52
7.38
[ 4, 4, 6, 8 ]
[ "(8+4-6)×4", "(8+4)×(6-4)" ]
true
13.5
0.833
12.71
6.9
[ 4, 4, 6, 9 ]
[ "(4+4)×(9-6)", "9×4×4/6" ]
true
12.94
0.768
11.01
5.86
[ 4, 4, 6, 10 ]
[ "10+6+4+4", "(6-4)×10+4" ]
true
12.64
0.88
12.64
5.29
[ 4, 4, 6, 11 ]
[ "(11-6)×4+4" ]
true
8.94
0.864
8.91
4.57
[ 4, 4, 6, 12 ]
[ "(4+4-6)×12", "(12-4-4)×6", "(4×4-12)×6", "12×4-6×4", "12×4/(6-4)", "(12+4)×6/4", "(12/6+4)×4" ]
true
8.22
0.942
8.94
3.9
[ 4, 4, 6, 13 ]
[ "(13-6)×4-4" ]
true
10.37
0.826
9.8
5.25
[ 4, 4, 7, 7 ]
[ "(4-4/7)×7" ]
true
57.94
0.392
15.64
9.07
[ 4, 4, 7, 8 ]
[ "7×4+4-8", "(8-4)×7-4" ]
true
12.93
0.839
12.63
5.75
[ 4, 4, 7, 9 ]
[ "9+7+4+4", "(9+4-7)×4" ]
true
7.71
0.935
8.13
3.48
[ 4, 4, 7, 10 ]
[ "(4+4)×(10-7)" ]
true
11.44
0.749
9.34
4.67
[ 4, 4, 7, 12 ]
[ "(12-4)×(7-4)", "(7-4)×4+12", "(12-7)×4+4" ]
true
8.69
0.895
8.97
4.17
[ 4, 4, 7, 13 ]
[ "13×4-7×4" ]
true
31.7
0.536
15.61
9.66
[ 4, 4, 8, 8 ]
[ "8+8+4+4", "(8+4)×8/4", "(8-4)×4+8", "(8-8/4)×4" ]
true
7.6
0.959
8.21
3.21
[ 4, 4, 8, 9 ]
[ "9×4-8-4" ]
true
21.4
0.697
17.26
8.52
[ 4, 4, 8, 10 ]
[ "(10+4-8)×4", "(10-4)×(8-4)", "10×8/4+4" ]
true
9.03
0.912
9.38
4.47
[ 4, 4, 8, 11 ]
[ "(4+4)×(11-8)", "(11-4-4)×8" ]
true
8.56
0.869
8.57
3.87
[ 4, 4, 8, 12 ]
[ "12×4×4/8", "8×4+4-12", "(4-8/4)×12", "(12-4)×4-8" ]
true
11.2
0.92
11.87
5.22
[ 4, 4, 8, 13 ]
[ "(4×4-13)×8", "(13-8)×4+4" ]
true
9.15
0.865
9.05
4.33
[ 4, 4, 9, 11 ]
[ "(11+4-9)×4" ]
true
9.09
0.822
8.74
4.7
[ 4, 4, 9, 12 ]
[ "(4+4)×(12-9)", "(9-12/4)×4" ]
true
11.53
0.782
10.45
4.91
[ 4, 4, 10, 10 ]
[ "(10×10-4)/4" ]
true
62.74
0.397
14.21
9.64
[ 4, 4, 10, 12 ]
[ "(10-4-4)×12", "10×4-12-4", "(12+4-10)×4" ]
true
8.34
0.908
8.7
4
[ 4, 4, 10, 13 ]
[ "(4+4)×(13-10)", "4/4+13+10" ]
true
6.37
0.936
6.83
2.83
[ 4, 4, 11, 12 ]
[ "4/4+12+11" ]
true
5.81
0.92
6.13
2.4
[ 4, 4, 11, 13 ]
[ "13+11+4-4", "(13+4-11)×4" ]
true
5.71
0.981
6.32
2.38
[ 4, 4, 12, 12 ]
[ "12+12+4-4", "(12-4)×12/4" ]
true
5.5
0.987
5.95
2.04
[ 4, 4, 12, 13 ]
[ "13+12-4/4", "(13-4)×4-12" ]
true
6.75
0.922
7.13
2.64
[ 4, 5, 5, 5 ]
[ "5×5+4-5", "(5/5+5)×4" ]
true
6.05
0.976
6.61
2.43
[ 4, 5, 5, 6 ]
[ "6×4+5-5" ]
true
5.65
0.975
6.08
2.12
[ 4, 5, 5, 7 ]
[ "(7-5/5)×4" ]
true
9.75
0.826
9.27
4.37
[ 4, 5, 5, 8 ]
[ "(4-5/5)×8" ]
true
7.38
0.879
7.52
3
[ 4, 5, 5, 9 ]
[ "5×4+9-5", "(9-5)×5+4" ]
true
9.04
0.915
9.42
3.93
[ 4, 5, 5, 10 ]
[ "10+5+5+4" ]
true
12.02
0.812
11.13
4.48
[ 4, 5, 6, 6 ]
[ "(6-5)×6×4", "(6/6+5)×4" ]
true
6.5
0.954
6.85
2.37
[ 4, 5, 6, 7 ]
[ "(7+5)×(6-4)", "(7+5-6)×4" ]
true
8.81
0.897
9.2
3.97
[ 4, 5, 6, 8 ]
[ "(5+4-6)×8" ]
true
10.64
0.873
10.56
4.35
[ 4, 5, 6, 9 ]
[ "9+6+5+4" ]
true
18.8
0.757
16.88
7.22
[ 4, 5, 6, 10 ]
[ "5×4+10-6", "6×5+4-10", "(10-4)×5-6", "(10-6)×5+4" ]
true
10.21
0.904
10.67
4.44
[ 4, 5, 6, 11 ]
[ "(11+5)×6/4" ]
true
64.1
0.381
20.05
11.42
[ 4, 5, 6, 12 ]
[ "(6+4)×12/5" ]
true
59.96
0.439
22.08
16.11
[ 4, 5, 6, 13 ]
[ "(13-5-4)×6" ]
true
11.9
0.782
10.49
5.18
[ 4, 5, 7, 7 ]
[ "7×5-7-4", "(7/7+5)×4" ]
true
6.93
0.911
7.53
3.6
[ 4, 5, 7, 8 ]
[ "8+7+5+4", "(8+4)×(7-5)", "(7+5)×8/4", "(8+5-7)×4" ]
true
7.85
0.955
8.31
3.14
[ 4, 5, 7, 9 ]
[ "7×4+5-9", "(7-4)×5+9", "9×4-7-5", "(9-5)×7-4" ]
true
10.47
0.87
10.71
5.18
[ 4, 5, 7, 10 ]
[ "(7-5)×10+4" ]
true
23.06
0.634
15.23
8.36
[ 4, 5, 7, 11 ]
[ "5×4+11-7", "(11-7)×5+4" ]
true
9.8
0.871
9.97
5.04
[ 4, 5, 7, 12 ]
[ "(5+4-7)×12", "12×4/(7-5)" ]
true
9.6
0.878
9.54
4.02
[ 4, 5, 7, 13 ]
[ "(13-5)×(7-4)", "(13×7+5)/4" ]
true
16.58
0.722
13.01
6.56
[ 4, 5, 8, 8 ]
[ "(5-8/4)×8", "(8/8+5)×4" ]
true
8.85
0.868
8.91
4.11
[ 4, 5, 8, 9 ]
[ "(9+5-8)×4", "(9-5)×4+8" ]
true
8.12
0.894
8.53
4.16
[ 4, 5, 8, 10 ]
[ "(8+4)×10/5", "(4-8/5)×10", "(8-10/5)×4", "(8/10+4)×5" ]
true
14.33
0.756
11.89
6.13
[ 4, 5, 8, 11 ]
[ "(11-5)×(8-4)", "(11+4)×8/5" ]
true
15.8
0.729
12.56
7.24
[ 4, 5, 8, 12 ]
[ "(12-5-4)×8", "5×4+12-8", "8×5-12-4", "(12-4)×(8-5)", "(8-5)×4+12", "(12-8)×5+4" ]
true
8.67
0.934
9.22
3.78
[ 4, 5, 8, 13 ]
[ "8×4+5-13", "(13-5)×4-8" ]
true
13.51
0.779
11.91
6.17
[ 4, 5, 9, 9 ]
[ "(9/9+5)×4" ]
true
6.51
0.882
6.76
2.8
[ 4, 5, 9, 10 ]
[ "(10-4)×(9-5)", "(10+5-9)×4" ]
true
8.25
0.905
8.59
3.68
[ 4, 5, 9, 12 ]
[ "12×5/4+9", "12×5-9×4" ]
true
31.32
0.6
23.3
10.91
[ 4, 5, 9, 13 ]
[ "5×4+13-9", "(13-9)×5+4" ]
true
9.01
0.893
9.68
4.99
[ 4, 5, 10, 10 ]
[ "10×10/5+4", "(10/10+5)×4" ]
true
7.1
0.913
7.49
3.25
[ 4, 5, 10, 11 ]
[ "10×4-11-5", "(11+5-10)×4" ]
true
8.06
0.881
8.5
4.35
[ 4, 5, 10, 12 ]
[ "12×5×4/10", "(4-10/5)×12" ]
true
10.79
0.868
10.63
4.5
[ 4, 5, 10, 13 ]
[ "13+10+5-4" ]
true
9.3
0.914
9.81
4.45
[ 4, 5, 11, 11 ]
[ "(11-4)×5-11", "(11/11+5)×4" ]
true
6.83
0.874
7.33
3.71
[ 4, 5, 11, 12 ]
[ "(11-5-4)×12", "12+11+5-4", "(12+5-11)×4" ]
true
5.68
0.975
6.09
2.09
[ 4, 5, 11, 13 ]
[ "(13+11)×(5-4)" ]
true
7.28
0.906
7.76
3.39
[ 4, 5, 12, 12 ]
[ "(12+12)×(5-4)", "(5-12/4)×12", "(12/12+5)×4" ]
true
5.24
0.971
5.61
1.78
[ 4, 5, 12, 13 ]
[ "13+12+4-5", "(13-5)×12/4", "(13+5-12)×4" ]
true
5.92
0.977
6.44
2.16
[ 4, 5, 13, 13 ]
[ "(13/13+5)×4" ]
true
6.58
0.876
6.78
2.89
[ 4, 6, 6, 6 ]
[ "6×4+6-6", "(6+6)×(6-4)" ]
true
5.6
0.985
5.99
2.03
[ 4, 6, 6, 7 ]
[ "(7-6)×6×4", "(7-4)×6+6", "(7-6/6)×4" ]
true
5.86
0.966
6.23
2.09
[ 4, 6, 6, 8 ]
[ "8+6+6+4", "8×6-6×4", "8×6/(6-4)", "6×6-8-4", "(6+6)×8/4", "(6-8/4)×6", "(4-6/6)×8" ]
true
7.15
0.974
7.64
2.63
[ 4, 6, 6, 9 ]
[ "(6-4)×9+6", "9×4-6-6", "(9-4)×6-6" ]
true
10.61
0.879
10.93
5.48
[ 4, 6, 6, 10 ]
[ "(10+6)×6/4" ]
true
58.72
0.4
23.53
13.1
[ 4, 6, 6, 12 ]
[ "(6-4)×6+12", "12×6/4+6" ]
true
12.19
0.86
11.97
6.04
[ 4, 6, 7, 7 ]
[ "7+7+6+4", "6×4+7-7" ]
true
5.21
0.987
5.55
1.84
[ 4, 6, 7, 8 ]
[ "(6+4-7)×8", "(8-7)×6×4" ]
true
6.57
0.957
7.02
2.51
[ 4, 6, 7, 9 ]
[ "(9+7)×6/4" ]
true
59.92
0.421
20.42
12.69
[ 4, 6, 7, 10 ]
[ "(6-4)×7+10", "7×4+6-10", "(7-4)×10-6", "(10-6)×7-4" ]
true
10.32
0.869
10.46
4.88
[ 4, 6, 7, 12 ]
[ "12×6/(7-4)", "(7-12/4)×6" ]
true
12
0.813
11.54
5.69
[ 4, 6, 8, 8 ]
[ "6×4+8-8", "(6-4)×8+8", "(8+8)×6/4", "(8+4)×(8-6)" ]
true
5.93
0.969
6.38
2.28
[ 4, 6, 8, 9 ]
[ "(9-8)×6×4", "9×8/4+6", "(4-8/6)×9" ]
true
8.02
0.935
8.51
3.48
[ 4, 6, 8, 10 ]
[ "(8-6)×10+4", "(10-6)×4+8" ]
true
16.17
0.762
13.36
7.95
[ 4, 6, 8, 12 ]
[ "(6+4-8)×12", "8×6/4+12", "(8+4)×12/6", "(12-6)×(8-4)", "12×4/(8-6)", "(6-12/4)×8", "(8-12/6)×4" ]
true
8.29
0.942
8.94
3.55
[ 4, 6, 8, 13 ]
[ "(13-6-4)×8" ]
true
12.14
0.804
11.21
5.26