numbers
stringlengths
12
16
solutions
stringlengths
11
136
solvable
bool
1 class
amt
float64
4.57
191
solved_rate
float64
0.22
1
mean_time
float64
4.81
34.8
std_time
float64
1.47
19.7
[1, 2, 8, 13]
['13+8+2+1']
true
10.44
0.916
10.66
4.77
[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
[9, 10, 12, 12]
['(12+12)×(10-9)']
true
5.96
0.959
6.29
2.05
[1, 2, 13, 13]
['(13+13-2)×1']
true
6.25
0.973
6.96
2.69
[2, 9, 10, 12]
['(10-2)×(12-9)', '(10-9)×12×2']
true
7.28
0.941
7.63
2.89
[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
[2, 4, 7, 7]
['(7+7)×2-4']
true
35.74
0.512
17.72
9.75
[2, 3, 10, 10]
['(10-3)×2+10']
true
19.95
0.687
14.88
7.68
[4, 4, 6, 11]
['(11-6)×4+4']
true
8.94
0.864
8.91
4.57
[2, 10, 11, 13]
['(10+2)×(13-11)', '(13+10-11)×2']
true
8.6
0.897
8.66
3.42
[3, 5, 5, 7]
['(7+5)×(5-3)', '(5/5+7)×3']
true
7.63
0.901
7.86
3.17
[6, 7, 9, 9]
['7×6-9-9', '(9+7)×9/6', '(9-7)×9+6']
true
12.04
0.806
11.2
6.1
[3, 7, 8, 13]
['(13-7-3)×8', '13×3-8-7']
true
10.01
0.844
9.93
5.13
[2, 6, 8, 12]
['12+8+6-2', '12×8/(6-2)', '(8×2-12)×6', '(8-2)×6-12', '(12-6)×8/2', '(6-8/2)×12', '8×6-12×2']
true
10.55
0.942
11.28
4.55
[1, 3, 5, 10]
['10×3-5-1', '5×3+10-1']
true
9.18
0.932
9.66
3.84
[4, 4, 6, 9]
['(4+4)×(9-6)', '9×4×4/6']
true
12.94
0.768
11.01
5.86
[6, 7, 10, 12]
['12×7/6+10', '12×7-10×6', '12×6/(10-7)']
true
10.92
0.851
10.85
4.89
[5, 7, 7, 11]
['(5-11/7)×7']
true
90.39
0.275
26.22
13.42
[2, 6, 7, 9]
['9+7+6+2', '(9-7)×6×2', '(9+2-7)×6', '7×6-9×2']
true
7.34
0.961
7.85
3.01
[10, 10, 10, 12]
['(10+10)×12/10']
true
23.18
0.597
11.12
7.61
[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
[4, 5, 10, 11]
['10×4-11-5', '(11+5-10)×4']
true
8.06
0.881
8.5
4.35
[5, 8, 8, 9]
['9×8/(8-5)', '(9-5)×8-8']
true
7.87
0.872
8.18
3.96
[3, 5, 8, 8]
['8+8+5+3', '(5-3)×8+8']
true
8.26
0.923
8.73
3.95
[2, 3, 8, 9]
['(9-3×2)×8', '(9-3)×8/2']
true
14.34
0.809
13.17
6.4
[5, 8, 11, 12]
['(8+5-11)×12', '(11+5)×12/8', '(11-5)×(12-8)']
true
10.6
0.871
10.85
4.37
[3, 6, 8, 12]
['(12-6-3)×8', '(8-12/3)×6']
true
15.52
0.802
14.12
6.22
[1, 5, 11, 12]
['(11-1)×12/5']
true
15.54
0.712
11.75
6.26
[3, 3, 5, 12]
['5×3+12-3', '(12-5)×3+3']
true
11.66
0.873
11.77
5.3
[7, 7, 7, 12]
['(7+7)×12/7']
true
16.45
0.645
9.38
6.22
[1, 6, 6, 11]
['11+6+6+1', '(11-6-1)×6', '6×6-11-1']
true
5.75
0.983
6.23
2.24
[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
[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
[1, 2, 9, 12]
['12+9+2+1']
true
7.85
0.927
8.43
3.84
[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
[4, 8, 10, 11]
['(10+4-11)×8']
true
7.79
0.908
8.12
3.49
[1, 6, 8, 9]
['9+8+6+1', '(9-6)×8×1', '8/(1-6/9)']
true
6.14
0.983
6.57
2.35
[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
[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
[3, 9, 9, 13]
['(9-3)×(13-9)']
true
17.18
0.675
12.58
6.35
[6, 6, 6, 6]
['6+6+6+6', '6×6-6-6']
true
4.57
0.995
4.81
1.47
[1, 6, 9, 13]
['(13-9)×6×1']
true
7.97
0.908
8.36
4.08
[7, 8, 9, 10]
['9×8/(10-7)']
true
12.36
0.796
11.28
5.51
[5, 6, 10, 11]
['(10+5-11)×6', '(11-5)×(10-6)']
true
7.91
0.905
8.27
3.58
[2, 5, 5, 9]
['5×2+9+5', '(5-2)×5+9']
true
16.2
0.785
14.74
6.1
[6, 6, 9, 11]
['(6+6)×(11-9)', '(9+6-11)×6']
true
8.79
0.886
9.14
4.16
[4, 5, 5, 9]
['5×4+9-5', '(9-5)×5+4']
true
9.04
0.915
9.42
3.93
[5, 10, 13, 13]
['10×5-13-13', '13+13-10/5', '(13-5)×(13-10)']
true
7.58
0.927
8.01
2.78
[1, 6, 12, 12]
['12×12×1/6', '12/(1-6/12)']
true
6.06
0.945
6.44
2.43
[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
[1, 6, 7, 9]
['(7+1)×(9-6)']
true
11.67
0.844
11.36
4.68
[4, 4, 5, 7]
['(7+4-5)×4']
true
9.96
0.852
9.63
4.6
[3, 3, 3, 11]
['11×3-3×3']
true
12.39
0.786
11.1
5.61
[8, 9, 10, 12]
['(10+8)×12/9', '12×10/8+9']
true
51.92
0.431
23.06
14.34
[1, 2, 5, 7]
['(7+5)×2×1', '(7+1)×(5-2)', '(7-2)×5-1']
true
6.84
0.952
7.17
2.64
[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, 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, 3, 4, 9]
['9×4×2/3', '(9+3)×(4-2)', '(9+3)×4/2']
true
11.29
0.884
11.35
4.87
[8, 8, 10, 13]
['8/8+13+10', '13×8-10×8']
true
7.02
0.906
7.45
3.11
[9, 10, 12, 13]
['13+12+9-10']
true
8.3
0.935
8.87
3.64
[4, 6, 13, 13]
['6×4+13-13', '13+13+4-6']
true
5.26
0.988
5.67
1.8
[3, 4, 4, 10]
['(10-3)×4-4']
true
15.03
0.769
12.54
6.93
[6, 8, 10, 11]
['(11-8)×10-6']
true
21.39
0.639
14.37
7.76
[1, 2, 2, 4]
['(2+1)×4×2']
true
7.6
0.958
7.94
2.47
[2, 2, 12, 12]
['12+12+2-2', '(12×2-12)×2']
true
5.77
0.986
6.27
2.24
[4, 9, 9, 10]
['10+9+9-4']
true
10.03
0.899
10.28
4.17
[3, 5, 6, 8]
['8×6/(5-3)', '(5-6/3)×8', '(6-5)×8×3']
true
7.43
0.938
7.96
3.23
[4, 5, 6, 7]
['(7+5)×(6-4)', '(7+5-6)×4']
true
8.81
0.897
9.2
3.97
[6, 6, 9, 13]
['13×6-9×6']
true
31.03
0.538
14.15
9.07
[2, 9, 10, 13]
['10×2+13-9', '(13+9-10)×2']
true
8.87
0.901
9.36
4.17
[2, 2, 6, 8]
['(8-2-2)×6', '(8-2×2)×6', '8×2+6+2', '(6+2)×2+8', '(8+6-2)×2', '(8-2)×(6-2)']
true
9.41
0.955
9.83
3.55
[1, 4, 8, 13]
['13+8+4-1', '(13+1-8)×4', '(13-1)×8/4']
true
6.81
0.974
7.2
2.49
[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
[2, 2, 2, 13]
['(13-2/2)×2', '(13-2)×2+2']
true
6.84
0.935
7.23
2.8
[5, 6, 9, 11]
['(11+9)×6/5', '(11+5)×9/6']
true
75.91
0.334
27.08
15.22
[4, 6, 12, 13]
['(13-12)×6×4']
true
6.4
0.938
6.88
2.91
[10, 11, 11, 13]
['(13+11)×(11-10)', '11/11+13+10']
true
6.51
0.948
6.93
2.65
[5, 7, 10, 12]
['(7+5)×(12-10)', '(7+5-10)×12', '12+10+7-5']
true
6.76
0.968
7.25
2.52
[5, 7, 11, 13]
['(7+5)×(13-11)']
true
13.48
0.709
10.38
5.51
[1, 4, 9, 13]
['9×4+1-13']
true
28.97
0.61
19.64
10.47
[2, 3, 4, 4]
['(3+2)×4+4', '4×4×3/2', '(4-2)×4×3']
true
9.43
0.942
9.83
3.62
[1, 11, 11, 13]
['(11+1)×(13-11)', '(13/11+1)×11']
true
10.33
0.875
10.27
4.31
[7, 8, 8, 9]
['(9-7)×8+8']
true
7.39
0.864
7.82
3.96
[5, 6, 8, 9]
['(8+5-9)×6', '(9+6)×8/5']
true
9.73
0.899
10.01
4.44
[5, 6, 7, 13]
['6×5+7-13', '(13+7)×6/5', '7×6-13-5', '(13-7)×5-6']
true
10.72
0.862
10.82
5.55
[1, 1, 3, 5]
['(5+1)×(3+1)']
true
6.92
0.954
7.24
2.32
[1, 2, 3, 10]
['10×2+3+1', '(10-2)×3×1', '(10+3-1)×2', '(10+2)×(3-1)']
true
6.17
0.983
6.49
1.99
[1, 2, 2, 5]
['(5+1)×(2+2)', '(5+1)×2×2']
true
7.78
0.947
8.07
2.85
[3, 6, 7, 13]
['6×3+13-7', '(13-7)×3+6']
true
11.65
0.824
10.94
6.02
[3, 5, 7, 10]
['(5+3)×(10-7)', '(5-3)×7+10', '(10+5-7)×3']
true
11.37
0.846
11.02
5.28
[2, 3, 6, 11]
['(11-3)×6/2', '(11-6/2)×3', '11×2+6/3', '11×6/3+2']
true
9.84
0.901
10.09
4.48
[1, 3, 10, 12]
['12+10+3-1']
true
7.13
0.965
7.6
2.74
[1, 5, 5, 13]
['13+5+5+1']
true
8.31
0.93
8.49
3.27
[2, 6, 6, 9]
['(6+2)×(9-6)', '(9+6)×2-6', '(9×6-6)/2']
true
17.45
0.725
13.7
6.89
[4, 4, 4, 10]
['10×4-4×4', '(4×4-10)×4']
true
15.27
0.765
13.03
6.5
[1, 1, 3, 9]
['(9+3)×(1+1)', '(9-1)×3×1']
true
5.19
0.97
5.53
1.84
[3, 3, 9, 9]
['9+9+3+3', '9×3-9/3', '(3-3/9)×9', '9×9/3-3']
true
7.43
0.959
7.78
2.79
[8, 8, 8, 11]
['11×8-8×8']
true
18.2
0.632
10.83
6.35
[3, 4, 10, 10]
['10×3+4-10']
true
15.18
0.755
13.27
6.28
[5, 8, 8, 13]
['13+8+8-5']
true
8.14
0.925
8.5
3.7