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
|
|---|---|---|---|---|---|---|
[
3,
3,
8,
8
] | [
"8/(3-8/3)"
] | true | 131.38 | 0.3 | 16.49 | 11.42 |
[
3,
3,
8,
9
] | [
"(9-3-3)×8",
"(8+3)×3-9",
"(8-3)×3+9"
] | true | 8.07 | 0.886 | 8.42 | 3.9 |
[
3,
3,
8,
10
] | [
"10+8+3+3",
"8/(10/3-3)"
] | true | 14.47 | 0.815 | 13.81 | 5.74 |
[
3,
3,
8,
12
] | [
"(3+3)×(12-8)",
"(8-3-3)×12",
"(12-3×3)×8",
"(12-3)×8/3"
] | true | 8.63 | 0.915 | 9.13 | 3.94 |
[
3,
3,
8,
13
] | [
"(13+3-8)×3"
] | true | 16.59 | 0.692 | 11.86 | 6.48 |
[
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 |
[
3,
3,
9,
10
] | [
"10×3+3-9"
] | true | 15.55 | 0.777 | 13.99 | 6.4 |
[
3,
3,
9,
11
] | [
"(11-3)×9/3",
"(11-9/3)×3"
] | true | 14.3 | 0.796 | 13.31 | 5.83 |
[
3,
3,
9,
12
] | [
"12×3-9-3",
"(9+3)×3-12",
"(9-3)×12/3"
] | true | 11.16 | 0.873 | 11.27 | 5.07 |
[
3,
3,
9,
13
] | [
"(3+3)×(13-9)"
] | true | 13.29 | 0.741 | 11 | 6.22 |
[
3,
3,
10,
13
] | [
"3/3+13+10"
] | true | 7.65 | 0.893 | 7.92 | 3.61 |
[
3,
3,
11,
12
] | [
"(11-3×3)×12",
"3/3+12+11",
"11×3+3-12"
] | true | 5.69 | 0.948 | 6.13 | 2.23 |
[
3,
3,
11,
13
] | [
"13+11+3-3"
] | true | 6.2 | 0.971 | 6.74 | 2.56 |
[
3,
3,
12,
12
] | [
"12×12/(3+3)",
"12+12+3-3",
"(12-12/3)×3"
] | true | 5.4 | 0.988 | 5.88 | 2.04 |
[
3,
3,
12,
13
] | [
"13+12-3/3",
"13×3-12-3"
] | true | 6.84 | 0.934 | 7.28 | 2.68 |
[
3,
4,
4,
4
] | [
"(4+3)×4-4"
] | true | 26.36 | 0.672 | 19.02 | 10.56 |
[
3,
4,
4,
5
] | [
"(5+4-3)×4",
"4×4+5+3"
] | true | 9.14 | 0.912 | 9.52 | 4.18 |
[
3,
4,
4,
6
] | [
"(6-4)×4×3",
"(4×3-6)×4",
"(4-3)×6×4",
"(4+4)×(6-3)",
"(6/3+4)×4",
"(4/4+3)×6"
] | true | 5.81 | 0.974 | 6.15 | 1.95 |
[
3,
4,
4,
7
] | [
"(7+3-4)×4",
"(4/4+7)×3"
] | true | 7.64 | 0.904 | 8.09 | 3.53 |
[
3,
4,
4,
8
] | [
"4×3+8+4",
"8×3+4-4",
"(8-3)×4+4",
"(4×4-8)×3"
] | true | 5.47 | 0.984 | 5.9 | 1.96 |
[
3,
4,
4,
9
] | [
"9×4-4×3",
"(4-4/3)×9",
"(4+4)×9/3",
"(9-4/4)×3"
] | true | 7.79 | 0.908 | 8.34 | 3.4 |
[
3,
4,
4,
10
] | [
"(10-3)×4-4"
] | true | 15.03 | 0.769 | 12.54 | 6.93 |
[
3,
4,
4,
11
] | [
"4×4+11-3"
] | true | 15.31 | 0.761 | 13.14 | 6.67 |
[
3,
4,
4,
12
] | [
"(3-4/4)×12",
"(12/4+3)×4"
] | true | 7.77 | 0.906 | 8.05 | 3.35 |
[
3,
4,
4,
13
] | [
"13+4+4+3",
"(13-4-3)×4"
] | true | 10.3 | 0.888 | 10.38 | 4.33 |
[
3,
4,
5,
5
] | [
"5×5+3-4",
"5×3+5+4"
] | true | 8.09 | 0.94 | 8.78 | 3.79 |
[
3,
4,
5,
6
] | [
"(5+3-4)×6"
] | true | 10.56 | 0.839 | 10.3 | 5.21 |
[
3,
4,
5,
7
] | [
"4×3+7+5",
"(7-5)×4×3",
"(5+3)×(7-4)",
"5×4+7-3",
"(7-3)×5+4",
"(7+5-4)×3"
] | true | 6.86 | 0.967 | 7.38 | 2.69 |
[
3,
4,
5,
8
] | [
"8×4-5-3",
"(5+3)×4-8",
"(8+3-5)×4",
"(8+4)×(5-3)",
"(5-4)×8×3",
"(5+4)×8/3"
] | true | 6.6 | 0.963 | 7.09 | 2.7 |
[
3,
4,
5,
9
] | [
"(5×3-9)×4",
"(9+4-5)×3"
] | true | 9.65 | 0.849 | 9.47 | 4.64 |
[
3,
4,
5,
10
] | [
"10×4×3/5",
"(5-3)×10+4"
] | true | 8.56 | 0.903 | 8.9 | 4.12 |
[
3,
4,
5,
11
] | [
"(4+3)×5-11",
"11×3-5-4"
] | true | 28.54 | 0.638 | 21 | 10.12 |
[
3,
4,
5,
12
] | [
"12+5+4+3",
"(4+3-5)×12",
"(5+3)×12/4",
"12×4/(5-3)",
"12×5/3+4",
"5×4+12/3",
"(5×4-12)×3",
"(12/4+5)×3"
] | true | 7.33 | 0.971 | 7.72 | 2.7 |
[
3,
4,
5,
13
] | [
"(13+5)×4/3",
"5×3+13-4"
] | true | 24.58 | 0.659 | 18.57 | 8.77 |
[
3,
4,
6,
6
] | [
"4×3+6+6",
"6×6-4×3",
"(6+4)×3-6",
"(6+6-4)×3"
] | true | 11.42 | 0.906 | 11.6 | 4.73 |
[
3,
4,
6,
8
] | [
"(8-6)×4×3",
"(4×3-8)×6",
"(8+4)×6/3",
"(8-6/3)×4",
"(8/4+6)×3"
] | true | 10.95 | 0.907 | 11.41 | 5.07 |
[
3,
4,
6,
9
] | [
"(9+3-6)×4",
"(9+3)×(6-4)"
] | true | 11.89 | 0.827 | 11.27 | 5.76 |
[
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 |
[
3,
4,
6,
11
] | [
"11+6+4+3",
"(11-4-3)×6",
"6/(3-11/4)"
] | true | 10.49 | 0.89 | 10.69 | 4.72 |
[
3,
4,
6,
12
] | [
"12×4×3/6",
"(12+6)×4/3",
"(6+3)×4-12",
"(6×3-12)×4",
"(12-4)×(6-3)",
"(6-3)×4+12",
"(4-6/3)×12"
] | true | 9.4 | 0.934 | 9.92 | 4 |
[
3,
4,
6,
13
] | [
"(13+3)×6/4",
"6/(13/4-3)"
] | true | 63.59 | 0.402 | 21.05 | 12.26 |
[
3,
4,
7,
7
] | [
"7×3+7-4",
"7×4+3-7",
"(7-3)×7-4",
"(7-4)×7+3"
] | true | 8.93 | 0.941 | 9.56 | 3.85 |
[
3,
4,
7,
8
] | [
"(7-3)×4+8"
] | true | 27.11 | 0.603 | 15.33 | 8.86 |
[
3,
4,
7,
9
] | [
"(9-7)×4×3",
"9×3+4-7",
"(7+4)×3-9",
"(7-4)×9-3"
] | true | 7.97 | 0.934 | 8.42 | 3.67 |
[
3,
4,
7,
10
] | [
"10+7+4+3",
"(10+3-7)×4",
"(10-4)×(7-3)"
] | true | 8.45 | 0.933 | 8.73 | 3.49 |
[
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 |
[
3,
4,
7,
12
] | [
"7×3+12/4",
"12×7/3-4",
"7×4-12/3",
"12×7/4+3"
] | true | 15.14 | 0.831 | 14.51 | 6.45 |
[
3,
4,
8,
9
] | [
"9+8+4+3",
"(4×3-9)×8",
"(9+3)×8/4",
"(9-3)×(8-4)"
] | true | 12.51 | 0.881 | 12.57 | 5.16 |
[
3,
4,
8,
10
] | [
"(10-4-3)×8",
"(10-8)×4×3",
"(10+8)×4/3",
"(10-8/4)×3"
] | true | 7.4 | 0.935 | 7.76 | 3.21 |
[
3,
4,
8,
11
] | [
"(11+3-8)×4",
"8×4+3-11",
"(11-3)×4-8",
"8/(4-11/3)"
] | true | 10.32 | 0.869 | 10.25 | 5.02 |
[
3,
4,
8,
12
] | [
"12×4/3+8",
"12×4-8×3",
"12×3-8-4",
"(8+4)×3-12",
"(12+4-8)×3",
"(8-4)×3+12"
] | true | 11.71 | 0.875 | 11.59 | 5.58 |
[
3,
4,
8,
13
] | [
"(13-4)×8/3",
"8/(13/3-4)"
] | true | 18.99 | 0.699 | 14.33 | 8.2 |
[
3,
4,
9,
9
] | [
"(9+9)×4/3",
"9×4-9-3",
"(9-9/3)×4",
"(9-4)×3+9"
] | true | 12.83 | 0.845 | 12.48 | 5.23 |
[
3,
4,
9,
11
] | [
"(11-9)×4×3",
"(11×9-3)/4"
] | true | 8.3 | 0.897 | 8.55 | 4.06 |
[
3,
4,
9,
12
] | [
"(9-4-3)×12",
"9×4/3+12",
"9×3-12/4",
"(12+3-9)×4",
"(12-4)×9/3",
"12×9/4-3",
"(3-4/12)×9"
] | true | 7.7 | 0.945 | 8.18 | 3.19 |
[
3,
4,
9,
13
] | [
"(13+4-9)×3"
] | true | 10.96 | 0.792 | 9.82 | 5.58 |
[
3,
4,
10,
10
] | [
"10×3+4-10"
] | true | 15.18 | 0.755 | 13.27 | 6.28 |
[
3,
4,
10,
12
] | [
"(12-10)×4×3",
"(4×3-10)×12",
"(10-4)×12/3",
"(10-12/3)×4",
"12/(3-10/4)"
] | true | 8.14 | 0.927 | 8.51 | 3.56 |
[
3,
4,
10,
13
] | [
"13+10+4-3",
"(13+3-10)×4",
"10×4-13-3"
] | true | 6.82 | 0.966 | 7.28 | 2.83 |
[
3,
4,
11,
12
] | [
"12+11+4-3",
"(11-3)×12/4",
"(11-12/4)×3"
] | true | 7.12 | 0.953 | 7.79 | 3.41 |
[
3,
4,
11,
13
] | [
"(13-11)×4×3",
"(13+11)×(4-3)",
"11×3+4-13",
"13×3-11-4"
] | true | 5.93 | 0.966 | 6.42 | 2.38 |
[
3,
4,
12,
12
] | [
"(12+12)×(4-3)",
"(12-3)×4-12"
] | true | 6.06 | 0.948 | 6.55 | 2.47 |
[
3,
4,
12,
13
] | [
"13+12+3-4"
] | true | 7.95 | 0.933 | 8.59 | 3.78 |
[
3,
5,
5,
6
] | [
"(5+5)×3-6",
"(5/5+3)×6"
] | true | 7.18 | 0.892 | 7.48 | 3.3 |
[
3,
5,
5,
7
] | [
"(7+5)×(5-3)",
"(5/5+7)×3"
] | true | 7.63 | 0.901 | 7.86 | 3.17 |
[
3,
5,
5,
8
] | [
"(5+3)×(8-5)",
"8×3+5-5"
] | true | 5.58 | 0.971 | 5.96 | 2.06 |
[
3,
5,
5,
9
] | [
"(9-5/5)×3",
"(9/5+3)×5"
] | true | 9.48 | 0.833 | 9.06 | 4.16 |
[
3,
5,
5,
11
] | [
"11+5+5+3"
] | true | 14.51 | 0.798 | 13.41 | 5.63 |
[
3,
5,
5,
12
] | [
"(3-5/5)×12"
] | true | 7.43 | 0.889 | 7.77 | 3.45 |
[
3,
5,
6,
6
] | [
"(6+3-5)×6",
"(6+6)×(5-3)"
] | true | 8.25 | 0.921 | 8.79 | 3.63 |
[
3,
5,
6,
7
] | [
"(7+5)×6/3",
"(7+6-5)×3"
] | true | 9.17 | 0.896 | 9.23 | 3.89 |
[
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 |
[
3,
5,
6,
9
] | [
"(5+3)×(9-6)",
"(5-3)×9+6",
"(6-3)×5+9",
"6×5+3-9",
"(9-3)×5-6",
"(6+5)×3-9",
"(9+5-6)×3"
] | true | 9.07 | 0.928 | 9.51 | 3.76 |
[
3,
5,
6,
10
] | [
"10+6+5+3",
"(10/5+6)×3"
] | true | 12.15 | 0.858 | 11.87 | 5.63 |
[
3,
5,
6,
11
] | [
"(5×3-11)×6",
"6×3+11-5",
"(11-5)×3+6"
] | true | 13.09 | 0.825 | 12.41 | 6.81 |
[
3,
5,
6,
12
] | [
"(5+3-6)×12",
"(12-5-3)×6",
"(5-3)×6+12"
] | true | 7.67 | 0.934 | 8.19 | 3.29 |
[
3,
5,
6,
13
] | [
"(13-5)×(6-3)"
] | true | 13.62 | 0.76 | 11.75 | 5.82 |
[
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 |
[
3,
5,
7,
9
] | [
"9+7+5+3",
"9×5-7×3",
"(5-7/3)×9",
"(9+3)×(7-5)"
] | true | 11.95 | 0.86 | 11.7 | 4.99 |
[
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 |
[
3,
5,
7,
11
] | [
"(11-5)×(7-3)",
"(11×7-5)/3"
] | true | 22.99 | 0.638 | 15.2 | 8.39 |
[
3,
5,
7,
12
] | [
"(7+3)×12/5",
"12×3-7-5",
"(7+5)×3-12"
] | true | 18.49 | 0.712 | 14.74 | 8.13 |
[
3,
5,
7,
13
] | [
"(13×5+7)/3"
] | true | 127.36 | 0.236 | 41.1 | 22.81 |
[
3,
5,
8,
8
] | [
"8+8+5+3",
"(5-3)×8+8"
] | true | 8.26 | 0.923 | 8.73 | 3.95 |
[
3,
5,
8,
9
] | [
"9×3+5-8",
"(8-5)×9-3"
] | true | 18.21 | 0.757 | 16.23 | 7.71 |
[
3,
5,
8,
11
] | [
"(5+3)×(11-8)",
"(11-5-3)×8",
"(11-3)×(8-5)",
"(11+5-8)×3"
] | true | 7.96 | 0.894 | 8.22 | 3.51 |
[
3,
5,
8,
12
] | [
"(5×3-12)×8",
"(12+3)×8/5"
] | true | 63.09 | 0.387 | 28.51 | 13.81 |
[
3,
5,
8,
13
] | [
"8×5-13-3"
] | true | 52.88 | 0.426 | 31.55 | 14.74 |
[
3,
5,
9,
9
] | [
"9×5/3+9",
"(9-3)×(9-5)"
] | true | 14.54 | 0.789 | 13.34 | 6.3 |
[
3,
5,
9,
10
] | [
"(9+3)×10/5",
"(10-5)×3+9"
] | true | 20.4 | 0.68 | 15.17 | 8.07 |
[
3,
5,
9,
12
] | [
"(5+3)×(12-9)",
"(5-9/3)×12",
"(12+5-9)×3",
"(9-5)×3+12"
] | true | 9.09 | 0.9 | 9.37 | 4.08 |
[
3,
5,
9,
13
] | [
"13+9+5-3",
"(13-5)×9/3",
"(13×9+3)/5"
] | true | 9.91 | 0.914 | 10.25 | 4.2 |
[
3,
5,
10,
10
] | [
"(10-10/5)×3"
] | true | 27.46 | 0.54 | 13.48 | 7.51 |
[
3,
5,
10,
11
] | [
"10×3+5-11",
"(10-3)×5-11"
] | true | 21.23 | 0.69 | 16.38 | 8.53 |
[
3,
5,
10,
12
] | [
"(10-5-3)×12",
"12+10+5-3"
] | true | 7.54 | 0.948 | 8.1 | 3.18 |
[
3,
5,
10,
13
] | [
"(5+3)×(13-10)",
"13×3-10-5",
"(13+5-10)×3"
] | true | 12 | 0.825 | 11.24 | 5.48 |
[
3,
5,
11,
11
] | [
"11+11+5-3"
] | true | 6.58 | 0.947 | 7.12 | 2.99 |
[
3,
5,
11,
12
] | [
"(11-5)×12/3"
] | true | 13.15 | 0.797 | 11.72 | 5.84 |
[
3,
5,
12,
12
] | [
"12×5-12×3",
"(12×5+12)/3"
] | true | 14.55 | 0.68 | 9.98 | 5.98 |
[
3,
5,
12,
13
] | [
"(5×3-13)×12",
"(13-3)×12/5"
] | true | 18.8 | 0.683 | 14.78 | 6.64 |