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
[ 3, 5, 13, 13 ]
[ "13+13+3-5" ]
true
7.36
0.941
7.83
3.12
[ 3, 6, 6, 6 ]
[ "(6-3)×6+6", "(6+6)×6/3", "(6-6/3)×6", "(6/6+3)×6" ]
true
7.4
0.945
7.88
3.26
[ 3, 6, 6, 7 ]
[ "7×6-6×3", "(7+3-6)×6", "(6/6+7)×3" ]
true
6.71
0.937
7.18
2.71
[ 3, 6, 6, 8 ]
[ "8×3+6-6", "(8-3)×6-6" ]
true
5.95
0.971
6.37
2.25
[ 3, 6, 6, 9 ]
[ "9+6+6+3", "9×6/3+6", "6×6-9-3", "(9-6/6)×3" ]
true
7.87
0.963
8.38
3.06
[ 3, 6, 6, 10 ]
[ "(6-3)×10-6" ]
true
40.65
0.501
19.28
11.18
[ 3, 6, 6, 11 ]
[ "(11×6+6)/3" ]
true
114.68
0.273
26.72
16.9
[ 3, 6, 6, 12 ]
[ "6×3+12-6", "12×6/(6-3)", "6×6/3+12", "12×3-6-6", "(6+6)×3-12", "(3-6/6)×12", "(12-6)×3+6", "(12/6+6)×3" ]
true
7.09
0.956
7.77
2.97
[ 3, 6, 6, 13 ]
[ "(13-6-3)×6", "(13×6-6)/3" ]
true
15.47
0.727
12.46
6.72
[ 3, 6, 7, 7 ]
[ "(7+7-6)×3", "(7/7+3)×6" ]
true
5.96
0.935
6.35
2.43
[ 3, 6, 7, 8 ]
[ "8+7+6+3", "(8+3-7)×6", "(7-6)×8×3" ]
true
6.4
0.979
6.82
2.31
[ 3, 6, 7, 9 ]
[ "7×3+9-6", "(7-9/3)×6", "(9+6-7)×3", "(9-6)×7+3" ]
true
8.01
0.933
8.5
3.58
[ 3, 6, 7, 10 ]
[ "7×6/3+10" ]
true
33.87
0.575
22.71
10.92
[ 3, 6, 7, 12 ]
[ "(6+3-7)×12", "(12-6)×(7-3)" ]
true
8.71
0.902
8.99
3.88
[ 3, 6, 7, 13 ]
[ "6×3+13-7", "(13-7)×3+6" ]
true
11.65
0.824
10.94
6.02
[ 3, 6, 8, 8 ]
[ "8×6/3+8", "8×6-8×3", "(8/8+3)×6" ]
true
7.44
0.927
7.77
2.97
[ 3, 6, 8, 9 ]
[ "9×8/(6-3)", "(9+3-8)×6", "(9+3)×(8-6)", "(6-9/3)×8" ]
true
8.53
0.937
8.92
3.19
[ 3, 6, 8, 10 ]
[ "(10+6-8)×3" ]
true
18.92
0.659
12.53
7.2
[ 3, 6, 8, 12 ]
[ "(12-6-3)×8", "(8-12/3)×6" ]
true
15.52
0.802
14.12
6.22
[ 3, 6, 8, 13 ]
[ "13+8+6-3" ]
true
15.3
0.817
14.74
6.46
[ 3, 6, 9, 9 ]
[ "9×3+6-9", "(9-6)×9-3", "(9/9+3)×6" ]
true
7.08
0.94
7.65
3.29
[ 3, 6, 9, 10 ]
[ "(10+3-9)×6", "(9-3)×(10-6)", "10×9/3-6", "9×6-10×3", "(6-10/3)×9" ]
true
8.3
0.925
8.68
3.65
[ 3, 6, 9, 11 ]
[ "(6-3)×11-9", "(11-3)×(9-6)", "(11+6-9)×3", "(11-6)×3+9" ]
true
10.36
0.868
10.18
4.84
[ 3, 6, 9, 12 ]
[ "12×6×3/9", "12+9+6-3", "(9+3)×12/6", "(9-3)×6-12" ]
true
10.53
0.929
10.96
4.24
[ 3, 6, 9, 13 ]
[ "6/3+13+9", "(13+3)×9/6", "13×3-9-6" ]
true
21.26
0.697
17.59
7.87
[ 3, 6, 10, 10 ]
[ "(3-6/10)×10", "(10/10+3)×6" ]
true
8.01
0.855
8
3.76
[ 3, 6, 10, 11 ]
[ "11+10+6-3", "(11+3-10)×6" ]
true
6.46
0.96
7.13
2.9
[ 3, 6, 10, 12 ]
[ "6/3+12+10", "10×3+6-12", "10×6-12×3", "(10×6+12)/3", "(12+6-10)×3", "(10-6)×3+12", "(10-12/6)×3" ]
true
7.68
0.931
8.24
3.53
[ 3, 6, 11, 11 ]
[ "6/3+11+11", "(11/11+3)×6" ]
true
5.74
0.946
6.04
2.08
[ 3, 6, 11, 12 ]
[ "(11-6-3)×12", "(12+3-11)×6" ]
true
7.4
0.933
7.82
3.18
[ 3, 6, 11, 13 ]
[ "(13+6-11)×3" ]
true
15.61
0.727
11.85
7.01
[ 3, 6, 12, 12 ]
[ "(6-3)×12-12", "(12-6)×12/3", "(6-12/3)×12", "(12/12+3)×6" ]
true
7.8
0.931
8.36
3.55
[ 3, 6, 12, 13 ]
[ "(13+3-12)×6" ]
true
9.27
0.865
9.18
4.46
[ 3, 6, 13, 13 ]
[ "13+13-6/3", "(13/13+3)×6" ]
true
5.92
0.945
6.18
1.99
[ 3, 7, 7, 7 ]
[ "7+7+7+3", "(7/7+7)×3" ]
true
5.75
0.977
6.09
2.04
[ 3, 7, 7, 8 ]
[ "8×3+7-7" ]
true
5.16
0.967
5.53
1.92
[ 3, 7, 7, 9 ]
[ "(9-7/7)×3" ]
true
7.24
0.868
7.32
3.01
[ 3, 7, 7, 10 ]
[ "7×3+10-7", "(10-7)×7+3" ]
true
9.43
0.894
9.74
4.31
[ 3, 7, 7, 12 ]
[ "(3-7/7)×12" ]
true
6.63
0.902
6.81
2.61
[ 3, 7, 7, 13 ]
[ "13+7+7-3", "(13-7)×(7-3)" ]
true
8.74
0.936
9.06
3.18
[ 3, 7, 8, 8 ]
[ "(7-3)×8-8", "(8-7)×8×3", "(8/8+7)×3" ]
true
5.64
0.963
6.03
2.05
[ 3, 7, 8, 9 ]
[ "(9+7-8)×3" ]
true
9.33
0.873
9.34
3.93
[ 3, 7, 8, 11 ]
[ "7×3+11-8", "(8-3)×7-11", "(11-8)×7+3" ]
true
11.93
0.834
11.56
5.96
[ 3, 7, 8, 12 ]
[ "(7+3-8)×12", "12+8+7-3", "12×8/(7-3)", "(7-12/3)×8" ]
true
8.24
0.951
8.77
3.27
[ 3, 7, 8, 13 ]
[ "(13-7-3)×8", "13×3-8-7" ]
true
10.01
0.844
9.93
5.13
[ 3, 7, 9, 9 ]
[ "(9+3)×(9-7)", "(9×7+9)/3", "(9/9+7)×3" ]
true
6.52
0.91
6.96
2.86
[ 3, 7, 9, 10 ]
[ "9×3+7-10", "(10+7-9)×3", "(10-7)×9-3" ]
true
7.68
0.92
8.25
3.53
[ 3, 7, 9, 11 ]
[ "11+9+7-3", "(9-3)×(11-7)" ]
true
11.71
0.884
11.91
4.89
[ 3, 7, 9, 12 ]
[ "7×3+12-9", "(7-3)×9-12", "(12-7)×3+9", "(12-9)×7+3" ]
true
12.14
0.857
11.99
5.73
[ 3, 7, 9, 13 ]
[ "9×7-13×3", "(7-13/3)×9" ]
true
111.27
0.26
40.42
22.14
[ 3, 7, 10, 10 ]
[ "10+10+7-3", "(10/10+7)×3" ]
true
6
0.973
6.41
2.23
[ 3, 7, 10, 11 ]
[ "(11-3)×(10-7)", "(11+7-10)×3" ]
true
8.1
0.906
8.36
3.42
[ 3, 7, 10, 13 ]
[ "7×3+13-10", "10×3+7-13", "(13-10)×7+3" ]
true
9.03
0.883
9.54
4.81
[ 3, 7, 11, 11 ]
[ "(11/11+7)×3" ]
true
6.71
0.878
6.94
3.15
[ 3, 7, 11, 12 ]
[ "(11+3)×12/7", "(12+7-11)×3", "(11-7)×3+12" ]
true
7.34
0.907
7.82
3.51
[ 3, 7, 12, 12 ]
[ "(12-7-3)×12", "(12×7-12)/3", "(12/12+7)×3" ]
true
8.05
0.912
8.44
3.54
[ 3, 7, 12, 13 ]
[ "(13-7)×12/3", "12/3+13+7", "(13+7-12)×3" ]
true
7.19
0.939
7.68
3.11
[ 3, 7, 13, 13 ]
[ "(13/13+7)×3" ]
true
6.67
0.875
6.79
2.79
[ 3, 8, 8, 8 ]
[ "8×3+8-8", "(8×8+8)/3" ]
true
5.76
0.976
6.13
2.15
[ 3, 8, 8, 9 ]
[ "(9-8)×8×3", "(9-8/8)×3" ]
true
6.94
0.958
7.29
2.55
[ 3, 8, 8, 10 ]
[ "(10×8-8)/3" ]
true
93.37
0.292
27.55
17.63
[ 3, 8, 8, 11 ]
[ "11+8+8-3" ]
true
9.77
0.901
9.98
4.55
[ 3, 8, 8, 12 ]
[ "12×8/3-8", "(3-8/8)×12" ]
true
7.27
0.916
7.74
3.15
[ 3, 8, 9, 9 ]
[ "8×3+9-9" ]
true
5.43
0.969
5.79
1.95
[ 3, 8, 9, 10 ]
[ "(10-9)×8×3", "10+9+8-3", "(9+3)×(10-8)" ]
true
6.71
0.963
7.06
2.54
[ 3, 8, 9, 11 ]
[ "9×3+8-11", "(11-8)×9-3" ]
true
14.32
0.797
13.13
7.09
[ 3, 8, 9, 12 ]
[ "(8+3-9)×12", "(9-3)×(12-8)" ]
true
9.71
0.902
10.13
4.56
[ 3, 8, 9, 13 ]
[ "9/3+13+8", "(13-8)×3+9" ]
true
18.43
0.741
15.96
7.47
[ 3, 8, 10, 10 ]
[ "8×3+10-10" ]
true
5.42
0.956
5.86
2.22
[ 3, 8, 10, 11 ]
[ "(11-10)×8×3" ]
true
5.95
0.946
6.33
2.37
[ 3, 8, 10, 12 ]
[ "12×10/(8-3)" ]
true
35.54
0.54
21.25
11.09
[ 3, 8, 11, 11 ]
[ "8×3+11-11", "(11-3)×(11-8)" ]
true
5.38
0.963
5.74
2.05
[ 3, 8, 11, 12 ]
[ "(12-11)×8×3" ]
true
6.18
0.942
6.7
2.72
[ 3, 8, 12, 12 ]
[ "8×3+12-12", "12/3+12+8", "(12-8)×3+12" ]
true
6.09
0.967
6.54
2.47
[ 3, 8, 12, 13 ]
[ "(13-8-3)×12", "(13-12)×8×3", "(13+3)×12/8" ]
true
5.85
0.961
6.22
2.19
[ 3, 8, 13, 13 ]
[ "8×3+13-13" ]
true
5.35
0.952
5.75
2.09
[ 3, 9, 9, 9 ]
[ "9+9+9-3", "(9×9-9)/3", "(9-9/9)×3" ]
true
6.12
0.976
6.56
2.19
[ 3, 9, 9, 10 ]
[ "(9+9-10)×3" ]
true
8.94
0.866
8.92
3.88
[ 3, 9, 9, 11 ]
[ "(9+3)×(11-9)", "11×9/3-9" ]
true
18.75
0.698
14.37
7.84
[ 3, 9, 9, 12 ]
[ "9×3+9-12", "9/3+12+9", "(3-9/9)×12", "(12-9)×9-3" ]
true
6.57
0.952
7.02
2.65
[ 3, 9, 9, 13 ]
[ "(9-3)×(13-9)" ]
true
17.18
0.675
12.58
6.35
[ 3, 9, 10, 10 ]
[ "(9-10/10)×3" ]
true
7.96
0.849
7.87
3.54
[ 3, 9, 10, 11 ]
[ "9/3+11+10", "(10+9-11)×3" ]
true
7.29
0.93
7.68
2.95
[ 3, 9, 10, 12 ]
[ "(9+3)×(12-10)", "(9+3-10)×12" ]
true
9.19
0.902
9.4
3.74
[ 3, 9, 10, 13 ]
[ "9×3+10-13", "(13-10)×9-3" ]
true
11.44
0.827
11.44
6.64
[ 3, 9, 11, 11 ]
[ "(3-9/11)×11", "(9-11/11)×3" ]
true
7.55
0.855
7.71
3.43
[ 3, 9, 11, 12 ]
[ "(11-3)×(12-9)", "12/3+11+9", "(11+9-12)×3" ]
true
9.53
0.903
10.02
4.53
[ 3, 9, 11, 13 ]
[ "(9+3)×(13-11)" ]
true
27.84
0.571
14.52
8.75
[ 3, 9, 12, 12 ]
[ "12×12/(9-3)", "12×9/3-12", "(9-12/12)×3" ]
true
7.85
0.909
8.4
3.61
[ 3, 9, 12, 13 ]
[ "(12+9-13)×3", "(13-9)×3+12" ]
true
8.15
0.896
8.63
4.01
[ 3, 9, 13, 13 ]
[ "(9-13/13)×3" ]
true
7.59
0.864
7.74
3.37
[ 3, 10, 10, 12 ]
[ "12/3+10+10", "(10+10-12)×3", "(3-10/10)×12" ]
true
6.6
0.945
6.98
2.37
[ 3, 10, 11, 12 ]
[ "(10+3-11)×12" ]
true
8.99
0.893
9.15
3.72
[ 3, 10, 11, 13 ]
[ "(11-3)×(13-10)", "(11+10-13)×3" ]
true
17.14
0.71
13.86
6.6
[ 3, 11, 11, 12 ]
[ "(3-11/11)×12" ]
true
6.29
0.915
6.53
2.23
[ 3, 11, 12, 12 ]
[ "(11+3-12)×12" ]
true
8.65
0.911
9.02
3.46
[ 3, 12, 12, 12 ]
[ "(3-12/12)×12" ]
true
7.95
0.912
8.29
3.44
[ 3, 12, 12, 13 ]
[ "(12+3-13)×12" ]
true
8.07
0.925
8.47
3.32
[ 3, 12, 13, 13 ]
[ "(3-13/13)×12" ]
true
6.46
0.913
6.67
2.33
[ 4, 4, 4, 4 ]
[ "4×4+4+4" ]
true
6.64
0.979
7.21
2.97