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
[ 2, 7, 8, 11 ]
[ "(7×2-11)×8", "11+8+7-2", "(8-2)×(11-7)", "(11+8-7)×2" ]
true
8.23
0.949
8.76
3.58
[ 2, 7, 8, 12 ]
[ "(12-7-2)×8", "(8-7)×12×2" ]
true
6.37
0.952
6.83
2.6
[ 2, 7, 8, 13 ]
[ "(13-7)×8/2", "8/2+13+7", "(13+7-8)×2" ]
true
7.48
0.942
8
3.17
[ 2, 7, 9, 10 ]
[ "10+9+7-2", "(10+2)×(9-7)", "(10+9-7)×2" ]
true
8.25
0.94
8.66
3.26
[ 2, 7, 9, 11 ]
[ "11×2+9-7", "(9-7)×11+2" ]
true
12.03
0.837
11.6
5.5
[ 2, 7, 9, 13 ]
[ "9×2+13-7", "13×2+7-9", "(9-7)×13-2" ]
true
9.86
0.874
10.04
4.92
[ 2, 7, 10, 10 ]
[ "(10-2)×(10-7)", "(10+7)×2-10" ]
true
17.77
0.678
13.95
6.11
[ 2, 7, 10, 11 ]
[ "10×7/2-11", "10×2+11-7" ]
true
13.84
0.786
12.62
6.25
[ 2, 7, 10, 12 ]
[ "12×10/(7-2)", "10/2+12+7", "(7-10/2)×12" ]
true
19.58
0.705
16.12
7.12
[ 2, 7, 11, 12 ]
[ "(11-7-2)×12", "(11-7)×12/2", "12/2+11+7", "(11+7)×2-12" ]
true
8.35
0.914
8.69
3.48
[ 2, 7, 12, 12 ]
[ "(7×2-12)×12", "(12+2)×12/7" ]
true
22.11
0.621
12.95
7.89
[ 2, 7, 12, 13 ]
[ "12/(7-13/2)", "(13-7)×2+12" ]
true
11.06
0.804
10.17
5.11
[ 2, 8, 8, 8 ]
[ "8×8/2-8", "(8+8)×2-8", "(8/8+2)×8" ]
true
7.25
0.938
7.83
3.39
[ 2, 8, 8, 9 ]
[ "(9+2-8)×8" ]
true
8.16
0.904
8.5
3.44
[ 2, 8, 8, 10 ]
[ "10+8+8-2", "(8-10/2)×8" ]
true
9.27
0.928
9.51
3.81
[ 2, 8, 8, 11 ]
[ "(8/8+11)×2" ]
true
8.54
0.84
8.24
3.61
[ 2, 8, 8, 12 ]
[ "(8-2)×(12-8)", "8/2+12+8", "12×2+8-8" ]
true
6.01
0.975
6.54
2.48
[ 2, 8, 8, 13 ]
[ "(13-8-2)×8", "(8×2-13)×8", "(13-8/8)×2" ]
true
6.58
0.93
7.02
2.65
[ 2, 8, 9, 9 ]
[ "9+9+8-2", "(9/9+2)×8" ]
true
5.8
0.964
6.22
2.13
[ 2, 8, 9, 10 ]
[ "(10+2-9)×8", "(9+8)×2-10" ]
true
8.35
0.887
8.55
3.86
[ 2, 8, 9, 11 ]
[ "8/2+11+9", "(11+9-8)×2" ]
true
8.93
0.908
9.35
3.94
[ 2, 8, 9, 12 ]
[ "9×8/2-12", "(9-8)×12×2", "(9-12/2)×8", "(8/12+2)×9" ]
true
6.7
0.953
7.13
2.78
[ 2, 8, 9, 13 ]
[ "(8-2)×(13-9)", "(13+8-9)×2", "9/(2-13/8)" ]
true
8.48
0.9
8.65
3.72
[ 2, 8, 10, 10 ]
[ "8/2+10+10", "(10+2)×(10-8)", "(10+10-8)×2", "(10/10+2)×8" ]
true
6.01
0.955
6.36
2.11
[ 2, 8, 10, 11 ]
[ "(11+2-10)×8", "(10-2)×(11-8)", "10/2+11+8", "11×2+10-8", "(10-8)×11+2" ]
true
6.56
0.95
7.07
2.71
[ 2, 8, 10, 12 ]
[ "10×2+12-8", "12/2+10+8", "(10+8)×2-12" ]
true
18.48
0.803
17.06
7.86
[ 2, 8, 10, 13 ]
[ "13×2+8-10", "(10-8)×13-2" ]
true
13.91
0.809
13.04
6.27
[ 2, 8, 11, 11 ]
[ "(11/11+2)×8" ]
true
6.49
0.889
6.66
2.84
[ 2, 8, 11, 12 ]
[ "(12+2-11)×8" ]
true
8.68
0.884
8.9
4.23
[ 2, 8, 12, 12 ]
[ "(12-8-2)×12", "12×12/(8-2)", "(12-8)×12/2", "(8-12/2)×12", "12/(2-12/8)", "(12/12+2)×8" ]
true
7.01
0.953
7.36
2.61
[ 2, 8, 12, 13 ]
[ "(13+2-12)×8" ]
true
7.68
0.898
7.95
3.55
[ 2, 8, 13, 13 ]
[ "(13/13+2)×8" ]
true
6.18
0.902
6.49
2.62
[ 2, 9, 9, 11 ]
[ "(9/9+11)×2" ]
true
7.09
0.875
7.12
2.81
[ 2, 9, 9, 12 ]
[ "12×2+9-9", "12/2+9+9", "(9+9)×2-12" ]
true
5.36
0.974
5.79
2.01
[ 2, 9, 9, 13 ]
[ "(13-9/9)×2" ]
true
7.16
0.887
7.25
2.65
[ 2, 9, 10, 10 ]
[ "10/2+10+9" ]
true
22.99
0.62
17.29
7.78
[ 2, 9, 10, 11 ]
[ "(10+2)×(11-9)", "(11+10-9)×2" ]
true
8.63
0.888
8.57
3.39
[ 2, 9, 10, 12 ]
[ "(10-2)×(12-9)", "(10-9)×12×2" ]
true
7.28
0.941
7.63
2.89
[ 2, 9, 10, 13 ]
[ "10×2+13-9", "(13+9-10)×2" ]
true
8.87
0.901
9.36
4.17
[ 2, 9, 11, 11 ]
[ "11×2+11-9", "(11-9)×11+2" ]
true
8.95
0.894
9.29
4.06
[ 2, 9, 11, 13 ]
[ "13×2+9-11", "(11-9)×13-2" ]
true
12.49
0.82
11.79
5.68
[ 2, 9, 12, 13 ]
[ "(13-9-2)×12", "(13-9)×12/2" ]
true
8.64
0.908
9.03
3.91
[ 2, 9, 13, 13 ]
[ "(13+9)/2+13" ]
true
111.17
0.251
32.13
19.96
[ 2, 10, 10, 11 ]
[ "(10/10+11)×2" ]
true
7.59
0.85
7.41
3.02
[ 2, 10, 10, 12 ]
[ "(10+2)×(12-10)", "12×2+10-10" ]
true
5.89
0.972
6.29
2.3
[ 2, 10, 10, 13 ]
[ "(10-2)×(13-10)", "(13-10/10)×2" ]
true
7.63
0.899
7.84
3.04
[ 2, 10, 11, 11 ]
[ "(11+11-10)×2" ]
true
9.39
0.862
9.37
4.07
[ 2, 10, 11, 12 ]
[ "11×2+12-10", "(11-10)×12×2", "(12-10)×11+2" ]
true
6.62
0.958
6.95
2.42
[ 2, 10, 11, 13 ]
[ "(10+2)×(13-11)", "(13+10-11)×2" ]
true
8.6
0.897
8.66
3.42
[ 2, 10, 12, 13 ]
[ "13×2+10-12", "(12+10)/2+13", "(12-10)×13-2" ]
true
14.51
0.813
13.58
6.28
[ 2, 11, 11, 11 ]
[ "(11/11+11)×2" ]
true
6.21
0.897
6.28
2.49
[ 2, 11, 11, 12 ]
[ "12×2+11-11" ]
true
5.33
0.974
5.74
2.01
[ 2, 11, 11, 13 ]
[ "11×2+13-11", "(11+11)/2+13", "(13-11/11)×2", "(13-11)×11+2" ]
true
6.83
0.951
7.36
2.84
[ 2, 11, 12, 12 ]
[ "(12-11)×12×2", "(12/12+11)×2" ]
true
6.14
0.956
6.56
2.28
[ 2, 11, 12, 13 ]
[ "(13+11-12)×2", "(13+11)/2+12" ]
true
9.15
0.898
9.57
4.11
[ 2, 11, 13, 13 ]
[ "13×2+11-13", "(13-11)×13-2", "(13+13)/2+11", "(13/13+11)×2" ]
true
6.56
0.942
6.99
2.58
[ 2, 12, 12, 12 ]
[ "12×2+12-12", "(12+12)/2+12" ]
true
6.39
0.984
6.77
2.44
[ 2, 12, 12, 13 ]
[ "(13-12)×12×2", "(13-12/12)×2" ]
true
6.43
0.956
6.84
2.43
[ 2, 12, 13, 13 ]
[ "12×2+13-13" ]
true
5.5
0.972
5.86
2.03
[ 2, 13, 13, 13 ]
[ "(13-13/13)×2" ]
true
6.21
0.909
6.4
2.38
[ 3, 3, 3, 3 ]
[ "3×3×3-3" ]
true
6.88
0.96
7.55
3.39
[ 3, 3, 3, 4 ]
[ "(3×3-3)×4", "(4+3)×3+3" ]
true
12.83
0.82
11.78
5.94
[ 3, 3, 3, 5 ]
[ "5×3+3×3" ]
true
10.14
0.856
9.81
4.22
[ 3, 3, 3, 6 ]
[ "6×3+3+3", "(3+3)×3+6", "(3/3+3)×6", "(6+3)×3-3" ]
true
6.24
0.977
6.79
2.6
[ 3, 3, 3, 7 ]
[ "(3+3)×(7-3)", "(3/3+7)×3" ]
true
7.09
0.921
7.53
3.29
[ 3, 3, 3, 8 ]
[ "8×3+3-3" ]
true
5.07
0.982
5.46
1.82
[ 3, 3, 3, 9 ]
[ "(9-3/3)×3" ]
true
9.63
0.842
9.58
4.9
[ 3, 3, 3, 10 ]
[ "10×3-3-3", "(10-3)×3+3" ]
true
6.92
0.944
7.49
3.17
[ 3, 3, 3, 11 ]
[ "11×3-3×3" ]
true
12.39
0.786
11.1
5.61
[ 3, 3, 3, 12 ]
[ "(3+3)×12/3", "3×3+12+3", "(3-3/3)×12", "(12-3)×3-3" ]
true
6.17
0.97
6.66
2.46
[ 3, 3, 4, 4 ]
[ "4×3+4×3", "(4×3-4)×3" ]
true
7.05
0.945
7.41
2.63
[ 3, 3, 4, 5 ]
[ "(3/3+5)×4", "(5-3)×4×3", "(5+4)×3-3" ]
true
7.45
0.94
7.9
3.25
[ 3, 3, 4, 6 ]
[ "6×4+3-3" ]
true
5.69
0.978
6.13
2.08
[ 3, 3, 4, 7 ]
[ "(7-3/3)×4", "(7+4-3)×3" ]
true
7.88
0.903
8.39
3.65
[ 3, 3, 4, 8 ]
[ "(3+3)×(8-4)", "(4-3/3)×8", "(4-3)×8×3" ]
true
6.12
0.964
6.46
2.14
[ 3, 3, 4, 9 ]
[ "4×3+9+3", "(9+3-4)×3", "(9/3+3)×4" ]
true
9.6
0.922
9.9
3.86
[ 3, 3, 4, 11 ]
[ "3×3+11+4", "(11-4)×3+3" ]
true
11.13
0.885
11.18
5.5
[ 3, 3, 4, 12 ]
[ "(3+3-4)×12", "(12-3-3)×4", "4×3×3-12", "12×3-4×3", "(12/3+4)×3" ]
true
7.81
0.952
8.45
3.23
[ 3, 3, 4, 13 ]
[ "(13-4)×3-3" ]
true
15.11
0.765
12.74
7.08
[ 3, 3, 5, 5 ]
[ "5×5-3/3" ]
true
7.6
0.895
7.87
3.24
[ 3, 3, 5, 6 ]
[ "6×5-3-3", "(3+3)×5-6", "(3×3-5)×6", "(5-3/3)×6", "(5+3)×(6-3)", "5×3+6+3", "(6+5-3)×3" ]
true
6.77
0.965
7.38
2.69
[ 3, 3, 5, 7 ]
[ "(5×3-7)×3" ]
true
108.12
0.294
30.91
19.93
[ 3, 3, 5, 9 ]
[ "(3+3)×(9-5)", "(5+3)×9/3", "(9+3)×(5-3)", "(9/3+5)×3" ]
true
9.77
0.873
9.76
4.06
[ 3, 3, 5, 10 ]
[ "3×3+10+5", "(10+3-5)×3", "(3-3/5)×10" ]
true
13.28
0.83
12.36
5.42
[ 3, 3, 5, 12 ]
[ "5×3+12-3", "(12-5)×3+3" ]
true
11.66
0.873
11.77
5.3
[ 3, 3, 5, 13 ]
[ "13+5+3+3", "13×3-5×3" ]
true
11.86
0.852
11.62
4.87
[ 3, 3, 6, 6 ]
[ "(6/3+6)×3" ]
true
30.23
0.575
14.99
9.07
[ 3, 3, 6, 7 ]
[ "7×3+6-3", "(6-3)×7+3", "(7+3)×3-6" ]
true
10.61
0.886
10.93
4.75
[ 3, 3, 6, 8 ]
[ "(3×3-6)×8", "(6+3)×8/3" ]
true
12.97
0.744
10.8
5.9
[ 3, 3, 6, 9 ]
[ "3×3+9+6", "6×3+9-3", "9×3+3-6", "(6-3)×9-3", "(9+3)×6/3", "(9-3)×3+6" ]
true
9.63
0.944
10.27
4.02
[ 3, 3, 6, 10 ]
[ "(3+3)×(10-6)", "(10-3-3)×6", "(6×3-10)×3", "(10-6/3)×3" ]
true
10.15
0.866
10.01
4.34
[ 3, 3, 6, 11 ]
[ "11×3-6-3", "(11+3-6)×3", "(11-3)×(6-3)" ]
true
9.58
0.903
9.94
4.55
[ 3, 3, 6, 12 ]
[ "12+6+3+3", "(3+3)×6-12" ]
true
11.42
0.873
11.66
6.05
[ 3, 3, 6, 13 ]
[ "(13-3×3)×6", "(13-3)×3-6", "(13-6)×3+3" ]
true
10.42
0.863
10.59
5.43
[ 3, 3, 7, 7 ]
[ "(3/7+3)×7" ]
true
51.64
0.407
13.53
8.22
[ 3, 3, 7, 8 ]
[ "3×3+8+7" ]
true
21.74
0.691
17.49
8.32
[ 3, 3, 7, 9 ]
[ "7×3+9/3", "(9-3)×(7-3)", "9×7/3+3" ]
true
9.86
0.909
10.09
3.81
[ 3, 3, 7, 11 ]
[ "11+7+3+3", "(3+3)×(11-7)" ]
true
8.61
0.922
8.92
3.64
[ 3, 3, 7, 12 ]
[ "(3×3-7)×12", "(12+3-7)×3", "(7-3)×3+12" ]
true
10.53
0.844
10.37
5.39
[ 3, 3, 7, 13 ]
[ "(7×3-13)×3" ]
true
94.36
0.273
33.82
19.64