numbers
listlengths
4
4
solutions
listlengths
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
__index_level_0__
int64
0
1.36k
[ 2, 7, 8, 9 ]
[ "(9+7)×2-8" ]
true
76.32
0.387
19.6
12.12
599
[ 7, 9, 11, 11 ]
[ "11+11+9-7" ]
true
6.38
0.958
6.86
2.66
1,283
[ 2, 4, 4, 12 ]
[ "(12-4-2)×4", "4×2+12+4", "12×4/(4-2)", "(4-4/2)×12", "12×2+4-4" ]
true
5.93
0.985
6.31
2.16
481
[ 5, 6, 8, 10 ]
[ "8×6×5/10", "8×5-10-6", "(8-5)×10-6" ]
true
10.52
0.871
10.63
4.62
1,114
[ 5, 6, 8, 9 ]
[ "(8+5-9)×6", "(9+6)×8/5" ]
true
9.73
0.899
10.01
4.44
1,113
[ 2, 2, 9, 10 ]
[ "(9-2)×2+10" ]
true
19.64
0.655
14.61
7.52
398
[ 6, 7, 12, 13 ]
[ "13+12+6-7", "(13-7)×6-12" ]
true
6.8
0.955
7.31
2.78
1,218
[ 3, 4, 4, 13 ]
[ "13+4+4+3", "(13-4-3)×4" ]
true
10.3
0.888
10.38
4.33
724
[ 1, 9, 11, 13 ]
[ "(13-1)×(11-9)" ]
true
9.62
0.876
9.79
4.2
328
[ 6, 6, 8, 10 ]
[ "(6+6)×(10-8)", "(8+6-10)×6" ]
true
9.1
0.905
9.37
4.22
1,189
[ 1, 8, 10, 12 ]
[ "(12+1-10)×8", "(10-8)×12×1" ]
true
5.92
0.958
6.23
2.19
318
[ 4, 8, 12, 12 ]
[ "(12+4)×12/8", "(4-12/12)×8" ]
true
12.93
0.857
12.33
5.97
1,052
[ 1, 2, 5, 8 ]
[ "(5+1)×8/2", "(8+5-1)×2", "(8-2)×(5-1)", "(5-2)×8×1" ]
true
5.55
0.958
5.97
2.24
83
[ 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
129
[ 5, 8, 11, 13 ]
[ "(11+5-13)×8", "(13-5)×(11-8)" ]
true
8.45
0.886
8.57
3.52
1,160
[ 1, 1, 3, 4 ]
[ "(1+1)×4×3" ]
true
6.15
0.981
6.48
2.05
12
[ 5, 6, 8, 12 ]
[ "(12+8)×6/5", "12×6/(8-5)", "(5-12/6)×8" ]
true
10.47
0.877
10.44
4.12
1,115
[ 1, 3, 10, 10 ]
[ "10+10+3+1" ]
true
5.59
0.975
5.92
2.01
171
[ 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
888
[ 6, 10, 11, 12 ]
[ "12×10/(11-6)" ]
true
17.58
0.692
13.65
6.66
1,248
[ 1, 5, 11, 11 ]
[ "(11×11-1)/5" ]
true
42.99
0.436
17.17
10.45
260
[ 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
1,037
[ 3, 3, 7, 8 ]
[ "3×3+8+7" ]
true
21.74
0.691
17.49
8.32
695
[ 6, 10, 12, 13 ]
[ "12×6/(13-10)" ]
true
11
0.824
10.46
4.9
1,250
[ 5, 7, 9, 12 ]
[ "(9+5)×12/7" ]
true
59.78
0.396
18.45
11.83
1,140
[ 3, 3, 11, 13 ]
[ "13+11+3-3" ]
true
6.2
0.971
6.74
2.56
712
[ 1, 10, 12, 12 ]
[ "(12-10)×12×1" ]
true
6.31
0.959
6.89
2.91
332
[ 2, 2, 3, 6 ]
[ "(2/2+3)×6", "(6-2)×3×2", "(3×2-2)×6", "(3×2+6)×2" ]
true
9.14
0.917
9.46
4.14
355
[ 1, 3, 5, 6 ]
[ "6×3+5+1", "(5+1)×3+6" ]
true
14.96
0.866
14.63
6.03
138
[ 2, 2, 6, 6 ]
[ "(6+2)×6/2", "6×2+6×2" ]
true
7.57
0.96
8.1
3.08
381
[ 1, 7, 7, 11 ]
[ "11+7+7-1", "(7-1)×(11-7)" ]
true
6.7
0.97
7.28
2.64
292
[ 6, 7, 12, 12 ]
[ "(12+12)×(7-6)" ]
true
5.58
0.958
5.95
2.03
1,217
[ 2, 4, 7, 10 ]
[ "(10-7)×4×2", "(4-2)×7+10", "7×4/2+10", "(10-2)×(7-4)" ]
true
8.56
0.912
8.82
3.86
503
[ 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
141
[ 5, 5, 7, 10 ]
[ "(7+5)×10/5" ]
true
13.71
0.742
11.78
5.2
1,081
[ 6, 7, 7, 11 ]
[ "7×6-11-7" ]
true
50.13
0.43
28.85
15.28
1,204
[ 2, 6, 6, 11 ]
[ "(6/6+11)×2" ]
true
7.74
0.831
7.51
3.24
566
[ 1, 3, 5, 7 ]
[ "(7+5)×(3-1)", "(5+1)×(7-3)" ]
true
9.32
0.895
9.53
4.12
139
[ 6, 6, 9, 10 ]
[ "(9-6)×10-6", "(10+6)×9/6" ]
true
17.62
0.702
13.9
7.22
1,193
[ 4, 8, 12, 13 ]
[ "(12+4-13)×8", "12/4+13+8" ]
true
7.67
0.919
8.32
3.73
1,053
[ 1, 5, 5, 5 ]
[ "(5-1/5)×5" ]
true
47.66
0.434
12.55
7.76
224
[ 4, 4, 5, 12 ]
[ "(5+4)×4-12", "(12-5)×4-4" ]
true
13.64
0.791
12.1
6.42
914
[ 1, 6, 8, 8 ]
[ "(8+1-6)×8", "8/(8/6-1)" ]
true
7.08
0.932
7.41
2.98
274
[ 1, 9, 9, 12 ]
[ "(9-1)×(12-9)", "(9/9+1)×12" ]
true
5.48
0.958
5.78
1.81
323
[ 2, 3, 9, 10 ]
[ "10+9+3+2", "10×3/2+9", "(9×2-10)×3", "(10-2)×9/3" ]
true
10.79
0.899
11.02
4.36
461
[ 2, 2, 13, 13 ]
[ "(2-2/13)×13" ]
true
68.63
0.368
15.35
9.38
409
[ 1, 9, 10, 13 ]
[ "(9-1)×(13-10)" ]
true
10.99
0.836
10.53
4.58
325
[ 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
605
[ 1, 7, 9, 9 ]
[ "9+9+7-1" ]
true
7.56
0.948
8.02
3.16
299
[ 4, 5, 5, 10 ]
[ "10+5+5+4" ]
true
12.02
0.812
11.13
4.48
948
[ 2, 3, 8, 12 ]
[ "(12-8)×3×2", "(8-3×2)×12", "8×3/2+12", "(8-2)×12/3", "(12-8/2)×3", "(12/2-3)×8", "(8×3-12)×2", "(12/3+8)×2" ]
true
9.41
0.932
9.93
3.89
458
[ 3, 8, 9, 11 ]
[ "9×3+8-11", "(11-8)×9-3" ]
true
14.32
0.797
13.13
7.09
865
[ 7, 7, 12, 12 ]
[ "(7+7-12)×12", "12+12+7-7" ]
true
5.22
0.986
5.59
1.84
1,263
[ 6, 6, 7, 11 ]
[ "11×6-7×6" ]
true
25.91
0.581
13.95
8.68
1,185
[ 5, 9, 12, 12 ]
[ "(9+5-12)×12", "(12×9+12)/5" ]
true
11.15
0.832
10.93
4.85
1,168
[ 3, 5, 8, 13 ]
[ "8×5-13-3" ]
true
52.88
0.426
31.55
14.74
787
[ 3, 4, 4, 12 ]
[ "(3-4/4)×12", "(12/4+3)×4" ]
true
7.77
0.906
8.05
3.35
723
[ 6, 8, 10, 13 ]
[ "(10+6-13)×8" ]
true
8.65
0.865
8.73
3.87
1,231
[ 4, 5, 13, 13 ]
[ "(13/13+5)×4" ]
true
6.58
0.876
6.78
2.89
983
[ 4, 5, 9, 13 ]
[ "5×4+13-9", "(13-9)×5+4" ]
true
9.01
0.893
9.68
4.99
973
[ 2, 6, 8, 8 ]
[ "8+8+6+2", "(6-2)×8-8", "(8-8/2)×6" ]
true
9.63
0.928
10.04
4.14
575
[ 5, 7, 13, 13 ]
[ "13+13+5-7" ]
true
7.6
0.941
8.01
3.25
1,149
[ 4, 7, 9, 11 ]
[ "(7-4)×11-9", "(9-4)×7-11" ]
true
37.33
0.523
23.35
11.52
1,023
[ 2, 7, 12, 12 ]
[ "(7×2-12)×12", "(12+2)×12/7" ]
true
22.11
0.621
12.95
7.89
610
[ 6, 9, 12, 12 ]
[ "(9-6)×12-12", "(12+6)×12/9", "12×6/(12-9)" ]
true
6.97
0.893
7.53
3.73
1,244
[ 2, 8, 11, 12 ]
[ "(12+2-11)×8" ]
true
8.68
0.884
8.9
4.23
628
[ 3, 4, 9, 13 ]
[ "(13+4-9)×3" ]
true
10.96
0.792
9.82
5.58
755
[ 1, 8, 11, 13 ]
[ "(13+1-11)×8" ]
true
8.23
0.883
8.41
3.59
321
[ 2, 4, 8, 8 ]
[ "4×2+8+8", "(4-2)×8+8", "8×4/2+8", "(8-2)×(8-4)", "(8+8-4)×2" ]
true
8.25
0.937
8.89
4.13
506
[ 3, 6, 7, 7 ]
[ "(7+7-6)×3", "(7/7+3)×6" ]
true
5.96
0.935
6.35
2.43
809
[ 3, 3, 9, 10 ]
[ "10×3+3-9" ]
true
15.55
0.777
13.99
6.4
706
[ 4, 9, 9, 10 ]
[ "10+9+9-4" ]
true
10.03
0.899
10.28
4.17
1,055
[ 4, 4, 7, 9 ]
[ "9+7+4+4", "(9+4-7)×4" ]
true
7.71
0.935
8.13
3.48
924
[ 1, 1, 8, 8 ]
[ "(1+1)×8+8" ]
true
7.23
0.897
7.72
3.87
39
[ 1, 1, 5, 5 ]
[ "(5+1)×(5-1)", "(5×5-1)×1" ]
true
5.36
0.991
5.74
1.83
30
[ 1, 5, 7, 11 ]
[ "11+7+5+1", "(5+1)×(11-7)", "(11+1)×(7-5)", "(7×5-11)×1" ]
true
6
0.986
6.49
2.17
242
[ 9, 11, 13, 13 ]
[ "13+13+9-11" ]
true
7.72
0.922
8.27
3.29
1,334
[ 4, 5, 10, 10 ]
[ "10×10/5+4", "(10/10+5)×4" ]
true
7.1
0.913
7.49
3.25
974
[ 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
136
[ 1, 8, 8, 9 ]
[ "9+8+8-1" ]
true
6.44
0.965
6.96
2.68
310
[ 6, 6, 10, 12 ]
[ "(6+6)×(12-10)", "(6+6-10)×12", "(10+6-12)×6", "(12-6)×(10-6)" ]
true
7.95
0.939
8.36
3.19
1,197
[ 2, 6, 11, 13 ]
[ "(13-11)×6×2", "(13+2-11)×6" ]
true
7.82
0.901
8.01
3.44
590
[ 2, 4, 5, 8 ]
[ "(8-5)×4×2", "(4×2-5)×8", "(5+2-4)×8", "(5-4/2)×8", "8×5/2+4", "5×4+8/2", "(5×4-8)×2" ]
true
7.04
0.952
7.44
2.81
486
[ 6, 7, 7, 10 ]
[ "(7+7-10)×6" ]
true
14.08
0.722
11.24
5.54
1,203
[ 8, 11, 12, 12 ]
[ "(11-8)×12-12" ]
true
8.24
0.772
7.55
3.8
1,319
[ 11, 11, 12, 12 ]
[ "12+12+11-11" ]
true
5.15
0.988
5.54
1.87
1,352
[ 2, 6, 6, 6 ]
[ "6×2+6+6", "6×6-6×2", "6×6/2+6" ]
true
7.61
0.961
8.13
3.05
561
[ 1, 1, 1, 13 ]
[ "(13-1)×(1+1)" ]
true
5.55
0.974
5.88
1.78
3
[ 1, 2, 10, 13 ]
[ "13+10+2-1" ]
true
6.69
0.971
7.2
2.74
111
[ 3, 5, 6, 7 ]
[ "(7+5)×6/3", "(7+6-5)×3" ]
true
9.17
0.896
9.23
3.89
770
[ 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
1,175
[ 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
873
[ 4, 8, 9, 9 ]
[ "(4-9/9)×8" ]
true
6.38
0.907
6.59
2.38
1,041
[ 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
802
[ 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
1,006
[ 2, 2, 5, 8 ]
[ "(8+5)×2-2" ]
true
26.55
0.632
17.21
9.35
376
[ 5, 7, 12, 12 ]
[ "12×7-12×5" ]
true
16.1
0.66
10.65
6.25
1,148
[ 2, 3, 7, 13 ]
[ "7×2+13-3", "(13+2-7)×3" ]
true
12.18
0.863
11.97
5.41
453
[ 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
570
[ 1, 8, 9, 11 ]
[ "(11+1-9)×8", "(9-1)×(11-8)", "9/(11/8-1)" ]
true
7.42
0.928
7.71
3.07
314