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, 6, 9, 9 ]
[ "6×4+9-9" ]
true
5.81
0.965
6.23
2.29
[ 4, 6, 9, 10 ]
[ "(10-9)×6×4", "10×6/4+9", "10×6-9×4", "(10×9+6)/4" ]
true
7.05
0.94
7.55
3.25
[ 4, 6, 9, 12 ]
[ "(12+4)×9/6", "(12-4)×(9-6)", "(9-6)×4+12" ]
true
14.9
0.772
12.82
6.98
[ 4, 6, 9, 13 ]
[ "13+9+6-4" ]
true
12.94
0.856
12.87
5.31
[ 4, 6, 10, 10 ]
[ "6×4+10-10", "10×4-10-6", "(10-4)×(10-6)" ]
true
5.99
0.967
6.38
2.37
[ 4, 6, 10, 11 ]
[ "(11-10)×6×4" ]
true
5.94
0.946
6.34
2.41
[ 4, 6, 10, 12 ]
[ "12+10+6-4", "(10-4)×6-12", "12×10/4-6", "12×10/6+4" ]
true
8.85
0.939
9.4
4.05
[ 4, 6, 11, 11 ]
[ "6×4+11-11", "11+11+6-4" ]
true
5.04
0.989
5.42
1.73
[ 4, 6, 11, 12 ]
[ "(12-11)×6×4" ]
true
6.6
0.929
7.03
2.97
[ 4, 6, 12, 12 ]
[ "(12-6-4)×12", "6×4+12-12", "12×6-12×4", "(4-12/6)×12" ]
true
6.64
0.97
7.12
2.47
[ 4, 6, 12, 13 ]
[ "(13-12)×6×4" ]
true
6.4
0.938
6.88
2.91
[ 4, 6, 13, 13 ]
[ "6×4+13-13", "13+13+4-6" ]
true
5.26
0.988
5.67
1.8
[ 4, 7, 7, 7 ]
[ "(7-7/7)×4" ]
true
6.86
0.888
7.08
3.04
[ 4, 7, 7, 8 ]
[ "(7+7-8)×4", "(4-7/7)×8" ]
true
6.09
0.939
6.59
2.54
[ 4, 7, 7, 11 ]
[ "7×4+7-11", "(11-7)×7-4" ]
true
9.65
0.874
9.82
4.73
[ 4, 7, 8, 8 ]
[ "(7+4-8)×8", "8×7-8×4", "(7-8/8)×4" ]
true
6.99
0.943
7.41
2.6
[ 4, 7, 8, 9 ]
[ "9×8/(7-4)", "(8+4)×(9-7)", "(8+7-9)×4" ]
true
8.55
0.919
8.93
3.78
[ 4, 7, 8, 10 ]
[ "8×7/4+10" ]
true
27.29
0.623
19.27
9.38
[ 4, 7, 8, 11 ]
[ "(11-7)×4+8" ]
true
17.22
0.68
11.36
7
[ 4, 7, 8, 12 ]
[ "7×4+8-12", "(12-8)×7-4" ]
true
15.82
0.792
14.42
6.97
[ 4, 7, 8, 13 ]
[ "13+8+7-4", "(13-7)×(8-4)" ]
true
9.72
0.909
10.22
4.41
[ 4, 7, 9, 9 ]
[ "(7-9/9)×4" ]
true
7.55
0.866
7.68
3.24
[ 4, 7, 9, 10 ]
[ "10×4-9-7", "(9+7-10)×4", "(9-7)×10+4" ]
true
7.81
0.909
8.35
3.71
[ 4, 7, 9, 11 ]
[ "(7-4)×11-9", "(9-4)×7-11" ]
true
37.33
0.523
23.35
11.52
[ 4, 7, 9, 12 ]
[ "(7+4-9)×12", "12+9+7-4", "12×4/(9-7)" ]
true
8.23
0.947
8.7
3.31
[ 4, 7, 9, 13 ]
[ "7×4+9-13", "(13-9)×7-4" ]
true
10.5
0.845
10.62
5.92
[ 4, 7, 10, 10 ]
[ "(7-10/10)×4" ]
true
9.17
0.839
8.92
4.21
[ 4, 7, 10, 11 ]
[ "11+10+7-4", "(10-4)×(11-7)", "(10+7-11)×4" ]
true
6.96
0.971
7.55
2.81
[ 4, 7, 10, 12 ]
[ "(10+4)×12/7", "(12-4)×(10-7)", "(10-7)×4+12" ]
true
13.36
0.792
11.83
5.79
[ 4, 7, 11, 11 ]
[ "(7-11/11)×4" ]
true
7.41
0.864
7.6
3.55
[ 4, 7, 11, 12 ]
[ "(11+7-12)×4" ]
true
9.81
0.862
9.9
4.91
[ 4, 7, 11, 13 ]
[ "11×4-13-7" ]
true
61.48
0.377
31.97
16.68
[ 4, 7, 12, 12 ]
[ "(7-4)×12-12", "(12×7+12)/4", "(7-12/12)×4" ]
true
6.36
0.885
6.73
3
[ 4, 7, 12, 13 ]
[ "(13-7-4)×12", "(12+7-13)×4" ]
true
7.32
0.922
7.86
3.4
[ 4, 7, 13, 13 ]
[ "(7-13/13)×4" ]
true
6.96
0.878
7.25
3.09
[ 4, 8, 8, 8 ]
[ "(8-4)×8-8", "8×8/4+8", "(4-8/8)×8" ]
true
6.87
0.945
7.27
2.8
[ 4, 8, 8, 9 ]
[ "(8+4-9)×8" ]
true
8.23
0.925
8.52
3.2
[ 4, 8, 8, 10 ]
[ "(8+4)×(10-8)", "10×4-8-8", "8×8-10×4", "(8+8-10)×4" ]
true
12.11
0.858
11.92
5.58
[ 4, 8, 8, 11 ]
[ "(11×8+8)/4" ]
true
94.44
0.298
24.47
14.91
[ 4, 8, 8, 12 ]
[ "12+8+8-4", "12×8/(8-4)", "(12-8)×4+8" ]
true
9.06
0.944
9.57
3.94
[ 4, 8, 8, 13 ]
[ "(13×8-8)/4" ]
true
88.2
0.297
25.3
14.96
[ 4, 8, 9, 9 ]
[ "(4-9/9)×8" ]
true
6.38
0.907
6.59
2.38
[ 4, 8, 9, 10 ]
[ "(9+4-10)×8" ]
true
8.16
0.891
8.37
3.48
[ 4, 8, 9, 11 ]
[ "(8+4)×(11-9)", "11+9+8-4", "(9+8-11)×4" ]
true
8.9
0.929
9.39
3.94
[ 4, 8, 9, 12 ]
[ "9×8×4/12", "(8-4)×9-12", "9×8-12×4" ]
true
19.77
0.727
16.96
7.19
[ 4, 8, 9, 13 ]
[ "8/4+13+9", "(13-9)×4+8" ]
true
12.37
0.82
11.39
6.29
[ 4, 8, 10, 10 ]
[ "10+10+8-4", "(10-8)×10+4", "(4-10/10)×8" ]
true
5.97
0.973
6.38
2.15
[ 4, 8, 10, 11 ]
[ "(10+4-11)×8" ]
true
7.79
0.908
8.12
3.49
[ 4, 8, 10, 12 ]
[ "(8+4)×(12-10)", "(8+4-10)×12", "8/4+12+10", "(10-4)×(12-8)", "12×4/(10-8)", "(10+8-12)×4" ]
true
7.27
0.958
7.82
2.92
[ 4, 8, 11, 11 ]
[ "8/4+11+11", "(4-11/11)×8" ]
true
5.77
0.953
6.09
2
[ 4, 8, 11, 12 ]
[ "(11+4-12)×8", "11×4-12-8", "(12-4)×(11-8)", "(11-8)×4+12" ]
true
7.2
0.93
7.8
3.23
[ 4, 8, 11, 13 ]
[ "(8+4)×(13-11)", "(11+8-13)×4" ]
true
11.65
0.825
10.89
5.3
[ 4, 8, 12, 12 ]
[ "(12+4)×12/8", "(4-12/12)×8" ]
true
12.93
0.857
12.33
5.97
[ 4, 8, 12, 13 ]
[ "(12+4-13)×8", "12/4+13+8" ]
true
7.67
0.919
8.32
3.73
[ 4, 8, 13, 13 ]
[ "13+13-8/4", "(4-13/13)×8" ]
true
6.05
0.946
6.31
1.96
[ 4, 9, 9, 10 ]
[ "10+9+9-4" ]
true
10.03
0.899
10.28
4.17
[ 4, 9, 9, 12 ]
[ "(9+9-12)×4", "(4-12/9)×9" ]
true
17.15
0.711
13.83
6.78
[ 4, 9, 10, 11 ]
[ "(11-9)×10+4" ]
true
12.76
0.767
10.96
5.86
[ 4, 9, 10, 12 ]
[ "12×10/(9-4)" ]
true
26.14
0.622
17.69
9.53
[ 4, 9, 10, 13 ]
[ "(10-4)×(13-9)", "(10+9-13)×4" ]
true
11.4
0.824
10.89
4.85
[ 4, 9, 11, 11 ]
[ "11×4-11-9" ]
true
46.63
0.445
26.12
14.27
[ 4, 9, 11, 12 ]
[ "(9+4-11)×12", "12×11/4-9", "12×4/(11-9)" ]
true
10.25
0.887
10.39
4.31
[ 4, 9, 12, 12 ]
[ "(12-4)×(12-9)", "12/4+12+9", "(12×9-12)/4", "(12-9)×4+12" ]
true
10.05
0.896
10.47
4.48
[ 4, 10, 10, 11 ]
[ "11×4-10-10" ]
true
29.05
0.546
19.85
9.39
[ 4, 10, 10, 12 ]
[ "(12-10)×10+4" ]
true
13.97
0.778
12.43
6.44
[ 4, 10, 11, 12 ]
[ "12/4+11+10" ]
true
25.19
0.631
17.86
9.14
[ 4, 10, 11, 13 ]
[ "(13-11)×10+4" ]
true
12.95
0.756
10.92
5.88
[ 4, 10, 12, 12 ]
[ "(10+4-12)×12", "12×12/(10-4)", "12×4/(12-10)" ]
true
8.21
0.922
8.68
3.5
[ 4, 10, 12, 13 ]
[ "(12-4)×(13-10)", "(13-10)×4+12" ]
true
11.42
0.815
10.62
5.63
[ 4, 11, 12, 13 ]
[ "(11+4-13)×12", "12×4-13-11", "12×4/(13-11)" ]
true
9.01
0.913
9.39
3.91
[ 4, 12, 12, 12 ]
[ "12×4-12-12", "12×12/4-12" ]
true
9.13
0.865
9.45
4.85
[ 5, 5, 5, 5 ]
[ "5×5-5/5" ]
true
6.03
0.952
6.48
2.23
[ 5, 5, 5, 6 ]
[ "5×5+5-6", "(5-5/5)×6" ]
true
6.23
0.964
6.68
2.33
[ 5, 5, 5, 9 ]
[ "9+5+5+5" ]
true
10.32
0.875
10.07
4.21
[ 5, 5, 5, 12 ]
[ "(5+5)×12/5" ]
true
15.8
0.673
10.54
6.47
[ 5, 5, 6, 6 ]
[ "(5+5-6)×6", "5×5-6/6", "(6-6/5)×5" ]
true
7.14
0.931
7.63
2.91
[ 5, 5, 6, 7 ]
[ "5×5+6-7", "7×5-6-5" ]
true
9.07
0.91
9.51
4.08
[ 5, 5, 6, 8 ]
[ "8+6+5+5" ]
true
16.86
0.786
15.19
6.67
[ 5, 5, 6, 11 ]
[ "6×5+5-11", "(11-5)×5-6" ]
true
10.3
0.872
10.3
4.72
[ 5, 5, 7, 7 ]
[ "7+7+5+5", "7×7-5×5", "5×5-7/7", "(7+5)×(7-5)" ]
true
5.66
0.979
6.01
1.93
[ 5, 5, 7, 8 ]
[ "(5+5-7)×8", "5×5+7-8" ]
true
7.32
0.927
7.81
3.01
[ 5, 5, 7, 10 ]
[ "(7+5)×10/5" ]
true
13.71
0.742
11.78
5.2
[ 5, 5, 7, 11 ]
[ "(7-11/5)×5" ]
true
93.75
0.266
27.68
14.77
[ 5, 5, 8, 8 ]
[ "5×5-8/8" ]
true
8.56
0.848
8.58
4
[ 5, 5, 8, 9 ]
[ "5×5+8-9", "(8-5)×5+9" ]
true
8.37
0.899
8.84
4
[ 5, 5, 8, 10 ]
[ "(10+5)×8/5", "(5-10/5)×8" ]
true
10.5
0.81
9.9
4.07
[ 5, 5, 8, 11 ]
[ "8×5-11-5" ]
true
39.63
0.468
25.02
11.4
[ 5, 5, 8, 12 ]
[ "(5+5-8)×12" ]
true
12.1
0.794
11.1
5.12
[ 5, 5, 8, 13 ]
[ "(13-5-5)×8", "(13-5)×(8-5)" ]
true
11.44
0.808
10.88
4.63
[ 5, 5, 9, 9 ]
[ "5×5-9/9" ]
true
7.46
0.852
7.73
3.52
[ 5, 5, 9, 10 ]
[ "5×5+9-10" ]
true
8.87
0.866
9.23
4.43
[ 5, 5, 9, 11 ]
[ "(11-5)×(9-5)" ]
true
14.95
0.716
12.54
5.4
[ 5, 5, 10, 10 ]
[ "5×5-10/10" ]
true
6.99
0.868
7.34
3.24
[ 5, 5, 10, 11 ]
[ "5×5+10-11" ]
true
7.66
0.873
8
3.72
[ 5, 5, 10, 13 ]
[ "5/5+13+10", "(5-13/5)×10" ]
true
7.19
0.9
7.6
3.43
[ 5, 5, 11, 11 ]
[ "5×5-11/11" ]
true
7.21
0.858
7.47
3.47
[ 5, 5, 11, 12 ]
[ "5×5+11-12", "5/5+12+11", "(12-5)×5-11" ]
true
5.53
0.964
5.89
1.9
[ 5, 5, 11, 13 ]
[ "13+11+5-5" ]
true
6.22
0.963
6.88
2.62
[ 5, 5, 12, 12 ]
[ "(12-5-5)×12", "5×5-12/12", "12+12+5-5" ]
true
5.44
0.988
5.81
1.74
[ 5, 5, 12, 13 ]
[ "5×5+12-13", "13+12-5/5" ]
true
6.18
0.956
6.66
2.16