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
[ 1, 2, 7, 11 ]
[ "7×2+11-1" ]
true
10.7
0.882
10.89
4.83
[ 1, 2, 7, 12 ]
[ "(7-1)×2+12" ]
true
12.06
0.771
10.21
5.89
[ 1, 2, 8, 8 ]
[ "(8×2+8)×1", "(8/2-1)×8" ]
true
6.45
0.962
7.02
2.73
[ 1, 2, 8, 9 ]
[ "9×8/(2+1)", "8×2+9-1", "(9-1)×2+8" ]
true
8.39
0.935
8.98
3.48
[ 1, 2, 8, 10 ]
[ "(8-1)×2+10" ]
true
21.92
0.674
15.76
8.19
[ 1, 2, 8, 13 ]
[ "13+8+2+1" ]
true
10.44
0.916
10.66
4.77
[ 1, 2, 9, 11 ]
[ "(2+1)×11-9" ]
true
48.09
0.448
23.76
13.21
[ 1, 2, 9, 12 ]
[ "12+9+2+1" ]
true
7.85
0.927
8.43
3.84
[ 1, 2, 9, 13 ]
[ "(13+9+2)×1" ]
true
8.86
0.932
9.42
4.19
[ 1, 2, 10, 11 ]
[ "11+10+2+1" ]
true
6.35
0.976
6.71
2.4
[ 1, 2, 10, 12 ]
[ "(12+10+2)×1" ]
true
6.06
0.974
6.57
2.4
[ 1, 2, 10, 13 ]
[ "13+10+2-1" ]
true
6.69
0.971
7.2
2.74
[ 1, 2, 11, 11 ]
[ "(11+11+2)×1" ]
true
5.97
0.975
6.46
2.42
[ 1, 2, 11, 12 ]
[ "12+11+2-1", "2/(1-11/12)" ]
true
7.08
0.969
7.75
3.19
[ 1, 2, 11, 13 ]
[ "(13+11)×(2-1)" ]
true
6.92
0.935
7.54
3.16
[ 1, 2, 12, 12 ]
[ "(2+1)×12-12", "(12+12)×(2-1)" ]
true
6.39
0.961
6.73
2.22
[ 1, 2, 12, 13 ]
[ "13+12+1-2", "2/(13/12-1)" ]
true
7.76
0.963
8.5
3.45
[ 1, 2, 13, 13 ]
[ "(13+13-2)×1" ]
true
6.25
0.973
6.96
2.69
[ 1, 3, 3, 3 ]
[ "(3+3)×(3+1)", "(3×3-1)×3" ]
true
6.76
0.956
7.15
2.54
[ 1, 3, 3, 4 ]
[ "(4+3+1)×3", "(3-1)×4×3", "(3+3)×4×1" ]
true
5.62
0.976
5.87
1.77
[ 1, 3, 3, 5 ]
[ "(5+3)×3×1", "(3+3)×(5-1)" ]
true
6.6
0.952
6.91
2.52
[ 1, 3, 3, 6 ]
[ "(6+3-1)×3", "(6+1)×3+3" ]
true
12.17
0.872
12.15
5.28
[ 1, 3, 3, 7 ]
[ "(7×3+3)×1" ]
true
6.55
0.96
7.38
3.34
[ 1, 3, 3, 8 ]
[ "(8+1)×3-3", "(8-1)×3+3" ]
true
19.73
0.739
16.08
7.88
[ 1, 3, 3, 9 ]
[ "(9-3)×(3+1)", "(9+3)×(3-1)", "(3-1/3)×9", "(9×3-3)×1" ]
true
6.65
0.968
7.28
2.87
[ 1, 3, 3, 10 ]
[ "(10+1-3)×3", "(10-1)×3-3" ]
true
9.05
0.901
9.22
4.14
[ 1, 3, 3, 11 ]
[ "(11-3)×3×1" ]
true
10.18
0.883
10.19
4.75
[ 1, 3, 3, 12 ]
[ "(3+1)×3+12", "(12-3-1)×3", "(3/3+1)×12" ]
true
5.99
0.954
6.39
2.35
[ 1, 3, 4, 4 ]
[ "(4+4)×3×1", "(4+3-1)×4" ]
true
6.96
0.934
7.31
3.12
[ 1, 3, 4, 5 ]
[ "5×4+3+1", "(3+1)×5+4", "(5+4-1)×3", "(5+3)×(4-1)" ]
true
7.26
0.975
7.75
2.49
[ 1, 3, 4, 6 ]
[ "6/(1-3/4)" ]
true
209.67
0.268
20.65
13.17
[ 1, 3, 4, 7 ]
[ "7×4-3-1", "(3+1)×7-4", "7×3+4-1", "(4-1)×7+3" ]
true
8.9
0.951
9.73
3.97
[ 1, 3, 4, 8 ]
[ "(3+1)×4+8", "(8+1-3)×4", "(8+4)×(3-1)", "8/(4/3-1)" ]
true
11.73
0.896
11.94
4.83
[ 1, 3, 4, 9 ]
[ "(4+1)×3+9", "(9-3)×4×1", "9×3+1-4", "(4-1)×9-3" ]
true
8.4
0.946
8.94
3.86
[ 1, 3, 4, 10 ]
[ "(10-4)×(3+1)", "(10-3-1)×4", "(3-1)×10+4" ]
true
8.65
0.931
8.96
3.43
[ 1, 3, 4, 11 ]
[ "(11+1-4)×3", "(11-3)×(4-1)", "4×3+11+1" ]
true
7.24
0.96
7.77
2.95
[ 1, 3, 4, 12 ]
[ "(12-4)×3×1", "(4+1-3)×12", "12×4/(3-1)", "(4×3+12)×1" ]
true
5.57
0.986
5.99
1.95
[ 1, 3, 4, 13 ]
[ "(13-4-1)×3", "4×3+13-1" ]
true
8.31
0.944
8.87
3.71
[ 1, 3, 5, 6 ]
[ "6×3+5+1", "(5+1)×3+6" ]
true
14.96
0.866
14.63
6.03
[ 1, 3, 5, 7 ]
[ "(7+5)×(3-1)", "(5+1)×(7-3)" ]
true
9.32
0.895
9.53
4.12
[ 1, 3, 5, 8 ]
[ "(5+1-3)×8", "5×3+8+1", "(8-3)×5-1" ]
true
6.59
0.953
7.28
2.99
[ 1, 3, 5, 9 ]
[ "(9-3)×(5-1)", "(5×3+9)×1", "(5/3+1)×9" ]
true
10.47
0.907
10.72
4.59
[ 1, 3, 5, 10 ]
[ "10×3-5-1", "5×3+10-1" ]
true
9.18
0.932
9.66
3.84
[ 1, 3, 5, 11 ]
[ "(11-5)×(3+1)", "(11+1)×(5-3)" ]
true
7.78
0.93
8.12
2.87
[ 1, 3, 5, 12 ]
[ "(5+1)×12/3", "(12+1-5)×3", "(5-1)×3+12", "(5-3)×12×1" ]
true
5.49
0.966
5.89
2.14
[ 1, 3, 5, 13 ]
[ "(13-5)×3×1", "(13-1)×(5-3)" ]
true
7.02
0.944
7.44
2.72
[ 1, 3, 6, 6 ]
[ "(6+1-3)×6", "(6+6)×(3-1)", "(6×3+6)×1" ]
true
6.5
0.973
7
2.62
[ 1, 3, 6, 7 ]
[ "(7-3)×6×1", "(7+1)×(6-3)", "6×3+7-1", "(7-1)×3+6" ]
true
6.98
0.963
7.38
2.79
[ 1, 3, 6, 8 ]
[ "(8-3-1)×6", "8×6/(3-1)", "(6-3)×8×1", "(6/3+1)×8" ]
true
6.01
0.958
6.45
2.55
[ 1, 3, 6, 9 ]
[ "(3-1)×9+6", "(6-1)×3+9", "(9+1)×3-6", "(9-1)×(6-3)", "(9/3+1)×6" ]
true
8.18
0.928
8.67
3.35
[ 1, 3, 6, 10 ]
[ "(10×3-6)×1" ]
true
14.21
0.82
12.61
7.01
[ 1, 3, 6, 11 ]
[ "(11+1)×6/3", "(11-1)×3-6" ]
true
10.7
0.882
10.63
4.33
[ 1, 3, 6, 12 ]
[ "(12-6)×(3+1)", "(6-3-1)×12", "12×6×1/3", "(3-1)×6+12", "12/(1-3/6)" ]
true
5.92
0.968
6.33
2.22
[ 1, 3, 6, 13 ]
[ "(13+1-6)×3", "(13-1)×6/3" ]
true
8.22
0.921
8.49
3.18
[ 1, 3, 7, 7 ]
[ "(7-1)×(7-3)" ]
true
12.01
0.853
11.74
4.81
[ 1, 3, 7, 8 ]
[ "(7-3-1)×8", "3/(1-7/8)" ]
true
7.4
0.894
7.65
3.61
[ 1, 3, 7, 9 ]
[ "(7+1)×9/3" ]
true
14.55
0.802
13.05
5.69
[ 1, 3, 7, 10 ]
[ "(3-1)×7+10", "10×3+1-7" ]
true
11.36
0.863
11.38
5.4
[ 1, 3, 7, 12 ]
[ "(7-1)×12/3" ]
true
11.8
0.856
11.25
5.09
[ 1, 3, 7, 13 ]
[ "13+7+3+1", "(13-7)×(3+1)" ]
true
7.11
0.969
7.5
2.64
[ 1, 3, 8, 8 ]
[ "(3+1)×8-8", "(3-1)×8+8", "(8+1)×8/3" ]
true
9.06
0.867
9.24
4.54
[ 1, 3, 8, 9 ]
[ "9×8×1/3", "3/(9/8-1)" ]
true
6.44
0.922
7.03
3.37
[ 1, 3, 8, 10 ]
[ "(10-1)×8/3" ]
true
16.72
0.709
12.77
6.81
[ 1, 3, 8, 11 ]
[ "11×3-8-1" ]
true
20.99
0.735
17.35
8.43
[ 1, 3, 8, 12 ]
[ "12+8+3+1", "12×8/(3+1)", "(12/3-1)×8" ]
true
7.72
0.967
8.22
2.9
[ 1, 3, 8, 13 ]
[ "(13+8+3)×1" ]
true
10.99
0.905
11.34
5.11
[ 1, 3, 9, 9 ]
[ "(9-1)×9/3" ]
true
10.78
0.848
10.33
4.14
[ 1, 3, 9, 10 ]
[ "(10+1)×3-9" ]
true
57.74
0.411
24.03
13.23
[ 1, 3, 9, 11 ]
[ "11+9+3+1", "(11×3-9)×1", "(11/3-1)×9" ]
true
7.19
0.951
7.69
3.09
[ 1, 3, 9, 12 ]
[ "(3+1)×9-12", "(12-1)×3-9", "(12+9+3)×1", "(9/3-1)×12" ]
true
6.14
0.965
6.57
2.41
[ 1, 3, 9, 13 ]
[ "13+9+3-1" ]
true
8.79
0.939
9.42
4.17
[ 1, 3, 10, 10 ]
[ "10+10+3+1" ]
true
5.59
0.975
5.92
2.01
[ 1, 3, 10, 11 ]
[ "11×3+1-10", "(11+10+3)×1" ]
true
7.05
0.963
7.7
3.16
[ 1, 3, 10, 12 ]
[ "12+10+3-1" ]
true
7.13
0.965
7.6
2.74
[ 1, 3, 11, 11 ]
[ "11+11+3-1" ]
true
6.29
0.972
6.7
2.44
[ 1, 3, 11, 12 ]
[ "12×3-11-1", "(11+1)×3-12" ]
true
17.35
0.758
14.86
7.55
[ 1, 3, 12, 12 ]
[ "(12×3-12)×1" ]
true
8.47
0.855
8.74
4.78
[ 1, 3, 12, 13 ]
[ "12×3+1-13", "(13-1)×3-12" ]
true
16.76
0.755
14.14
7.16
[ 1, 3, 13, 13 ]
[ "13+13+1-3" ]
true
6.7
0.972
7.22
2.65
[ 1, 4, 4, 4 ]
[ "(4+1)×4+4", "(4+4)×(4-1)" ]
true
7.63
0.959
8.1
2.98
[ 1, 4, 4, 5 ]
[ "(5×4+4)×1" ]
true
6.41
0.967
6.97
2.74
[ 1, 4, 4, 6 ]
[ "(6+1)×4-4", "(6-1)×4+4" ]
true
15.95
0.797
13.98
6.92
[ 1, 4, 4, 7 ]
[ "4×4+7+1", "(7×4-4)×1" ]
true
6.66
0.962
7.37
3.22
[ 1, 4, 4, 8 ]
[ "(8-1)×4-4", "(4×4+8)×1" ]
true
10.58
0.899
10.77
5.54
[ 1, 4, 4, 9 ]
[ "(9+1-4)×4", "4×4+9-1" ]
true
8.1
0.942
8.59
3.56
[ 1, 4, 4, 10 ]
[ "(10-4)×4×1" ]
true
7.92
0.923
8.15
3.46
[ 1, 4, 4, 11 ]
[ "(11-4-1)×4" ]
true
10.89
0.865
10.85
5.36
[ 1, 4, 4, 12 ]
[ "(12-4)×(4-1)", "(4-1)×4+12", "(4/4+1)×12" ]
true
5.84
0.958
6.33
2.33
[ 1, 4, 5, 5 ]
[ "5×4+5-1", "(5-1)×5+4" ]
true
7.59
0.959
8.09
2.79
[ 1, 4, 5, 6 ]
[ "6/(5/4-1)", "4/(1-5/6)" ]
true
193.11
0.287
19.49
12.95
[ 1, 4, 5, 7 ]
[ "7×4+1-5", "(5-1)×7-4" ]
true
12.8
0.879
12.72
5.32
[ 1, 4, 5, 8 ]
[ "(5+1)×(8-4)", "(5-1)×4+8" ]
true
13.77
0.823
12.93
5.94
[ 1, 4, 5, 9 ]
[ "(4-1)×5+9", "(9-4)×5-1" ]
true
13.19
0.822
12.34
6.76
[ 1, 4, 5, 10 ]
[ "(10+1-5)×4", "(10-4)×(5-1)" ]
true
8.97
0.914
9.16
3.67
[ 1, 4, 5, 11 ]
[ "(11-5)×4×1" ]
true
8.35
0.907
8.63
4
[ 1, 4, 5, 12 ]
[ "(5+1-4)×12", "(12-5-1)×4" ]
true
5.96
0.957
6.4
2.36
[ 1, 4, 5, 13 ]
[ "(13-5)×(4-1)" ]
true
10.38
0.88
10.57
4.63
[ 1, 4, 6, 6 ]
[ "(4+1)×6-6", "(4-1)×6+6" ]
true
13.53
0.802
12.21
6.51
[ 1, 4, 6, 7 ]
[ "(7+1-4)×6", "4/(7/6-1)" ]
true
8.83
0.872
9.07
4.68
[ 1, 4, 6, 8 ]
[ "(6+1-4)×8", "(8-4)×6×1", "8/(1-4/6)" ]
true
6.3
0.949
6.68
2.56