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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
[ 1, 6, 6, 9 ]
[ "(9+1-6)×6" ]
true
7.38
0.906
7.87
3.37
265
[ 4, 10, 11, 13 ]
[ "(13-11)×10+4" ]
true
12.95
0.756
10.92
5.88
1,066
[ 2, 8, 9, 10 ]
[ "(10+2-9)×8", "(9+8)×2-10" ]
true
8.35
0.887
8.55
3.86
619
[ 7, 7, 11, 13 ]
[ "13+11+7-7", "(13-7)×(11-7)" ]
true
5.87
0.977
6.42
2.37
1,262
[ 4, 4, 5, 6 ]
[ "(5-4/4)×6", "(5-4)×6×4" ]
true
6.3
0.958
6.62
2.25
909
[ 2, 8, 9, 9 ]
[ "9+9+8-2", "(9/9+2)×8" ]
true
5.8
0.964
6.22
2.13
618
[ 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
275
[ 3, 4, 6, 10 ]
[ "6×3+10-4", "10×6/3+4", "(10+4-6)×3", "(10-4)×3+6" ]
true
9.76
0.9
10.19
4.83
737
[ 2, 3, 7, 11 ]
[ "(3+2)×7-11", "3×2+11+7", "(11-7)×3×2", "11×3-7-2" ]
true
8.98
0.922
9.33
4.28
451
[ 2, 3, 10, 10 ]
[ "(10-3)×2+10" ]
true
19.95
0.687
14.88
7.68
464
[ 4, 7, 11, 13 ]
[ "11×4-13-7" ]
true
61.48
0.377
31.97
16.68
1,031
[ 2, 5, 12, 13 ]
[ "12/2+13+5", "(13+5)×2-12" ]
true
31.7
0.582
22.49
10.09
560
[ 10, 10, 10, 12 ]
[ "(10+10)×12/10" ]
true
23.18
0.597
11.12
7.61
1,336
[ 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
816
[ 3, 7, 9, 11 ]
[ "11+9+7-3", "(9-3)×(11-7)" ]
true
11.71
0.884
11.91
4.89
847
[ 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
425
[ 2, 6, 10, 13 ]
[ "(6+2)×(13-10)", "10/2+13+6", "(13-6)×2+10" ]
true
12.07
0.848
11.67
5.62
588
[ 1, 2, 3, 9 ]
[ "9×3-2-1", "(2+1)×9-3", "(9+3)×2×1", "(9+1-2)×3" ]
true
7.56
0.965
8.14
3.18
65
[ 2, 5, 5, 11 ]
[ "(5+2)×5-11", "(5/5+11)×2" ]
true
7.92
0.832
7.85
3.55
528
[ 3, 5, 12, 13 ]
[ "(5×3-13)×12", "(13-3)×12/5" ]
true
18.8
0.683
14.78
6.64
799
[ 6, 8, 8, 10 ]
[ "8×6/(10-8)", "(10+8)×8/6", "(10-6)×8-8" ]
true
8.37
0.91
8.83
4.04
1,221
[ 1, 5, 10, 13 ]
[ "(13-1)×10/5" ]
true
9.37
0.888
9.36
3.49
259
[ 2, 8, 10, 13 ]
[ "13×2+8-10", "(10-8)×13-2" ]
true
13.91
0.809
13.04
6.27
626
[ 2, 4, 6, 11 ]
[ "11×2+6-4", "(6-4)×11+2", "(11+4)×2-6", "4/(2-11/6)" ]
true
11.49
0.853
11.28
5.59
497
[ 1, 4, 5, 9 ]
[ "(4-1)×5+9", "(9-4)×5-1" ]
true
13.19
0.822
12.34
6.76
192
[ 4, 4, 9, 11 ]
[ "(11+4-9)×4" ]
true
9.09
0.822
8.74
4.7
934
[ 5, 9, 12, 13 ]
[ "(13+5)×12/9", "(13-5)×(12-9)" ]
true
21.09
0.646
16.08
7.34
1,169
[ 3, 4, 7, 11 ]
[ "(11+7)×4/3", "(11-3)×(7-4)", "(11+4-7)×3" ]
true
9.49
0.868
9.31
4.63
745
[ 1, 2, 2, 13 ]
[ "(13+1-2)×2", "(13×2-2)×1" ]
true
7.2
0.967
7.73
3.12
58
[ 1, 3, 8, 11 ]
[ "11×3-8-1" ]
true
20.99
0.735
17.35
8.43
163
[ 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
680
[ 1, 1, 4, 5 ]
[ "(4+1)×5-1", "(5+1)×4×1" ]
true
5.4
0.979
5.79
2
23
[ 1, 2, 9, 12 ]
[ "12+9+2+1" ]
true
7.85
0.927
8.43
3.84
107
[ 2, 2, 11, 12 ]
[ "2/2+12+11" ]
true
6.12
0.925
6.52
2.55
405
[ 3, 3, 3, 7 ]
[ "(3+3)×(7-3)", "(3/3+7)×3" ]
true
7.09
0.921
7.53
3.29
664
[ 2, 7, 7, 13 ]
[ "(13-7/7)×2" ]
true
7.28
0.863
7.38
3.13
597
[ 3, 6, 7, 12 ]
[ "(6+3-7)×12", "(12-6)×(7-3)" ]
true
8.71
0.902
8.99
3.88
813
[ 3, 7, 13, 13 ]
[ "(13/13+7)×3" ]
true
6.67
0.875
6.79
2.79
857
[ 4, 6, 10, 10 ]
[ "6×4+10-10", "10×4-10-6", "(10-4)×(10-6)" ]
true
5.99
0.967
6.38
2.37
1,004
[ 3, 9, 10, 10 ]
[ "(9-10/10)×3" ]
true
7.96
0.849
7.87
3.54
881
[ 2, 9, 10, 11 ]
[ "(10+2)×(11-9)", "(11+10-9)×2" ]
true
8.63
0.888
8.57
3.39
636
[ 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
677
[ 1, 8, 8, 11 ]
[ "(11-8)×8×1" ]
true
7.14
0.935
7.64
3.52
312
[ 4, 7, 13, 13 ]
[ "(7-13/13)×4" ]
true
6.96
0.878
7.25
3.09
1,034
[ 3, 5, 7, 8 ]
[ "7×3+8-5", "7×5-8-3", "(8-5)×7+3" ]
true
13.46
0.855
13.17
6.08
777
[ 2, 8, 8, 10 ]
[ "10+8+8-2", "(8-10/2)×8" ]
true
9.27
0.928
9.51
3.81
614
[ 5, 10, 10, 11 ]
[ "(11×10+10)/5" ]
true
44.17
0.416
15.46
7.54
1,170
[ 1, 2, 5, 6 ]
[ "(5+1-2)×6", "(5+1)×(6-2)", "(6+5+1)×2" ]
true
6.74
0.944
7.24
2.8
81
[ 3, 3, 3, 11 ]
[ "11×3-3×3" ]
true
12.39
0.786
11.1
5.61
668
[ 2, 3, 12, 13 ]
[ "13+12+2-3" ]
true
6.86
0.959
7.36
2.65
471
[ 1, 5, 8, 10 ]
[ "10+8+5+1", "(10/5+1)×8" ]
true
6.7
0.965
7.2
2.57
247
[ 5, 6, 9, 13 ]
[ "(13-5)×(9-6)" ]
true
16.49
0.69
12.61
6.14
1,121
[ 5, 8, 12, 12 ]
[ "(8-5)×12-12" ]
true
7.86
0.753
7.04
3.77
1,161
[ 5, 9, 9, 12 ]
[ "9×5-12-9", "(9-5)×9-12", "(12-9)×5+9" ]
true
15.14
0.76
13.47
6.87
1,163
[ 2, 11, 11, 12 ]
[ "12×2+11-11" ]
true
5.33
0.974
5.74
2.01
651
[ 3, 6, 8, 12 ]
[ "(12-6-3)×8", "(8-12/3)×6" ]
true
15.52
0.802
14.12
6.22
818
[ 4, 4, 8, 11 ]
[ "(4+4)×(11-8)", "(11-4-4)×8" ]
true
8.56
0.869
8.57
3.87
931
[ 3, 5, 12, 12 ]
[ "12×5-12×3", "(12×5+12)/3" ]
true
14.55
0.68
9.98
5.98
798
[ 2, 5, 7, 10 ]
[ "10+7+5+2", "(10+2)×(7-5)", "(10+7-5)×2" ]
true
8.97
0.921
9.33
3.78
542
[ 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
811
[ 2, 3, 5, 8 ]
[ "8×2+5+3", "(5+3)×2+8", "8/(2-5/3)" ]
true
21.78
0.735
18.5
8.02
433
[ 6, 6, 12, 13 ]
[ "13+12-6/6" ]
true
7.24
0.904
7.7
3.17
1,202
[ 2, 6, 7, 10 ]
[ "(6+2)×(10-7)", "(7×2-10)×6" ]
true
19.24
0.699
13.62
7.59
571
[ 4, 6, 13, 13 ]
[ "6×4+13-13", "13+13+4-6" ]
true
5.26
0.988
5.67
1.8
1,011
[ 1, 4, 4, 9 ]
[ "(9+1-4)×4", "4×4+9-1" ]
true
8.1
0.942
8.59
3.56
184
[ 5, 7, 9, 10 ]
[ "(10-7)×5+9" ]
true
25.19
0.615
16.65
9.31
1,138
[ 1, 5, 9, 12 ]
[ "(5-1)×9-12", "(9+1)×12/5" ]
true
24.56
0.627
14.7
9.06
254
[ 3, 8, 8, 12 ]
[ "12×8/3-8", "(3-8/8)×12" ]
true
7.27
0.916
7.74
3.15
862
[ 4, 5, 10, 12 ]
[ "12×5×4/10", "(4-10/5)×12" ]
true
10.79
0.868
10.63
4.5
976
[ 7, 8, 8, 13 ]
[ "(13+8)×8/7" ]
true
88.81
0.298
27.73
15.99
1,269
[ 5, 5, 8, 8 ]
[ "5×5-8/8" ]
true
8.56
0.848
8.58
4
1,083
[ 1, 6, 11, 12 ]
[ "(11+1)×12/6" ]
true
8.28
0.889
8.3
2.96
286
[ 6, 6, 7, 12 ]
[ "7×6-12-6", "(12-7)×6-6" ]
true
10.54
0.841
10.26
4.81
1,186
[ 4, 4, 5, 13 ]
[ "4×4+13-5" ]
true
16.19
0.724
12.52
7.38
915
[ 6, 9, 9, 12 ]
[ "12+9+9-6" ]
true
12.51
0.868
12.4
5.83
1,239
[ 6, 7, 8, 12 ]
[ "(8+6)×12/7" ]
true
65.75
0.405
18.06
13.1
1,208
[ 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
996
[ 2, 6, 7, 11 ]
[ "(11+7-6)×2" ]
true
11.29
0.825
10.81
5.3
572
[ 1, 2, 2, 11 ]
[ "(11+2-1)×2", "(11×2+2)×1" ]
true
7.03
0.972
7.57
2.96
56
[ 3, 3, 8, 8 ]
[ "8/(3-8/3)" ]
true
131.38
0.3
16.49
11.42
700
[ 1, 4, 5, 13 ]
[ "(13-5)×(4-1)" ]
true
10.38
0.88
10.57
4.63
196
[ 2, 6, 9, 11 ]
[ "(11-9)×6×2", "11+9+6-2", "11×6/2-9", "(11+2-9)×6" ]
true
7.56
0.958
8.08
3.18
583
[ 6, 12, 12, 13 ]
[ "(13×12-12)/6" ]
true
65.31
0.376
15.89
9.01
1,255
[ 2, 3, 4, 6 ]
[ "(3-2)×6×4", "6×3+4+2", "(4+2)×3+6", "(6-3)×4×2", "(6+4-2)×3", "(4/2+6)×3", "6×2+4×3", "(6×2-4)×3", "(6/2+3)×4" ]
true
6.63
0.978
7.04
2.3
422
[ 2, 5, 6, 10 ]
[ "(5-2)×10-6", "10×6×2/5", "(10+5)×2-6", "(10/5+2)×6" ]
true
9.63
0.884
9.8
4.63
535
[ 2, 6, 9, 12 ]
[ "(6+2)×(12-9)", "(6-2)×9-12", "6/2+12+9", "9×2+12-6", "12/(2-9/6)" ]
true
15.05
0.829
14.06
6.67
584
[ 1, 2, 5, 12 ]
[ "(5-2-1)×12", "(5+1)×2+12", "(5-1)×12/2" ]
true
5.72
0.955
6.15
2.2
86
[ 1, 3, 3, 8 ]
[ "(8+1)×3-3", "(8-1)×3+3" ]
true
19.73
0.739
16.08
7.88
123
[ 7, 12, 12, 13 ]
[ "12×12/(13-7)", "(13×12+12)/7" ]
true
9.38
0.828
9.14
4.24
1,292
[ 7, 8, 8, 10 ]
[ "10×8-8×7" ]
true
21.4
0.613
12.87
8.33
1,266
[ 3, 9, 11, 13 ]
[ "(9+3)×(13-11)" ]
true
27.84
0.571
14.52
8.75
887
[ 1, 4, 9, 12 ]
[ "12+9+4-1", "(9-1)×12/4", "(9×4-12)×1" ]
true
7.89
0.961
8.51
3.35
218
[ 10, 12, 13, 13 ]
[ "13+13+10-12" ]
true
8.02
0.945
8.53
3.01
1,348
[ 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
621
[ 3, 7, 10, 10 ]
[ "10+10+7-3", "(10/10+7)×3" ]
true
6
0.973
6.41
2.23
850
[ 2, 2, 5, 12 ]
[ "5×2+12+2", "12/(5/2-2)" ]
true
11.08
0.844
10.84
5.23
380
[ 3, 4, 6, 9 ]
[ "(9+3-6)×4", "(9+3)×(6-4)" ]
true
11.89
0.827
11.27
5.76
736
[ 1, 3, 4, 4 ]
[ "(4+4)×3×1", "(4+3-1)×4" ]
true
6.96
0.934
7.31
3.12
128
[ 2, 2, 4, 12 ]
[ "(4+2)×2+12", "(12+2)×2-4", "(12-2)×2+4" ]
true
20.54
0.757
16.22
9.62
371
[ 1, 5, 6, 8 ]
[ "(8+1-5)×6" ]
true
9.12
0.905
9.26
3.93
233
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