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,
5,
13,
13
] | [
"13+13+3-5"
] | true | 7.36 | 0.941 | 7.83 | 3.12 |
[
3,
6,
6,
6
] | [
"(6-3)×6+6",
"(6+6)×6/3",
"(6-6/3)×6",
"(6/6+3)×6"
] | true | 7.4 | 0.945 | 7.88 | 3.26 |
[
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 |
[
3,
6,
6,
8
] | [
"8×3+6-6",
"(8-3)×6-6"
] | true | 5.95 | 0.971 | 6.37 | 2.25 |
[
3,
6,
6,
9
] | [
"9+6+6+3",
"9×6/3+6",
"6×6-9-3",
"(9-6/6)×3"
] | true | 7.87 | 0.963 | 8.38 | 3.06 |
[
3,
6,
6,
10
] | [
"(6-3)×10-6"
] | true | 40.65 | 0.501 | 19.28 | 11.18 |
[
3,
6,
6,
11
] | [
"(11×6+6)/3"
] | true | 114.68 | 0.273 | 26.72 | 16.9 |
[
3,
6,
6,
12
] | [
"6×3+12-6",
"12×6/(6-3)",
"6×6/3+12",
"12×3-6-6",
"(6+6)×3-12",
"(3-6/6)×12",
"(12-6)×3+6",
"(12/6+6)×3"
] | true | 7.09 | 0.956 | 7.77 | 2.97 |
[
3,
6,
6,
13
] | [
"(13-6-3)×6",
"(13×6-6)/3"
] | true | 15.47 | 0.727 | 12.46 | 6.72 |
[
3,
6,
7,
7
] | [
"(7+7-6)×3",
"(7/7+3)×6"
] | true | 5.96 | 0.935 | 6.35 | 2.43 |
[
3,
6,
7,
8
] | [
"8+7+6+3",
"(8+3-7)×6",
"(7-6)×8×3"
] | true | 6.4 | 0.979 | 6.82 | 2.31 |
[
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 |
[
3,
6,
7,
10
] | [
"7×6/3+10"
] | true | 33.87 | 0.575 | 22.71 | 10.92 |
[
3,
6,
7,
12
] | [
"(6+3-7)×12",
"(12-6)×(7-3)"
] | true | 8.71 | 0.902 | 8.99 | 3.88 |
[
3,
6,
7,
13
] | [
"6×3+13-7",
"(13-7)×3+6"
] | true | 11.65 | 0.824 | 10.94 | 6.02 |
[
3,
6,
8,
8
] | [
"8×6/3+8",
"8×6-8×3",
"(8/8+3)×6"
] | true | 7.44 | 0.927 | 7.77 | 2.97 |
[
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 |
[
3,
6,
8,
10
] | [
"(10+6-8)×3"
] | true | 18.92 | 0.659 | 12.53 | 7.2 |
[
3,
6,
8,
12
] | [
"(12-6-3)×8",
"(8-12/3)×6"
] | true | 15.52 | 0.802 | 14.12 | 6.22 |
[
3,
6,
8,
13
] | [
"13+8+6-3"
] | true | 15.3 | 0.817 | 14.74 | 6.46 |
[
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 |
[
3,
6,
9,
10
] | [
"(10+3-9)×6",
"(9-3)×(10-6)",
"10×9/3-6",
"9×6-10×3",
"(6-10/3)×9"
] | true | 8.3 | 0.925 | 8.68 | 3.65 |
[
3,
6,
9,
11
] | [
"(6-3)×11-9",
"(11-3)×(9-6)",
"(11+6-9)×3",
"(11-6)×3+9"
] | true | 10.36 | 0.868 | 10.18 | 4.84 |
[
3,
6,
9,
12
] | [
"12×6×3/9",
"12+9+6-3",
"(9+3)×12/6",
"(9-3)×6-12"
] | true | 10.53 | 0.929 | 10.96 | 4.24 |
[
3,
6,
9,
13
] | [
"6/3+13+9",
"(13+3)×9/6",
"13×3-9-6"
] | true | 21.26 | 0.697 | 17.59 | 7.87 |
[
3,
6,
10,
10
] | [
"(3-6/10)×10",
"(10/10+3)×6"
] | true | 8.01 | 0.855 | 8 | 3.76 |
[
3,
6,
10,
11
] | [
"11+10+6-3",
"(11+3-10)×6"
] | true | 6.46 | 0.96 | 7.13 | 2.9 |
[
3,
6,
10,
12
] | [
"6/3+12+10",
"10×3+6-12",
"10×6-12×3",
"(10×6+12)/3",
"(12+6-10)×3",
"(10-6)×3+12",
"(10-12/6)×3"
] | true | 7.68 | 0.931 | 8.24 | 3.53 |
[
3,
6,
11,
11
] | [
"6/3+11+11",
"(11/11+3)×6"
] | true | 5.74 | 0.946 | 6.04 | 2.08 |
[
3,
6,
11,
12
] | [
"(11-6-3)×12",
"(12+3-11)×6"
] | true | 7.4 | 0.933 | 7.82 | 3.18 |
[
3,
6,
11,
13
] | [
"(13+6-11)×3"
] | true | 15.61 | 0.727 | 11.85 | 7.01 |
[
3,
6,
12,
12
] | [
"(6-3)×12-12",
"(12-6)×12/3",
"(6-12/3)×12",
"(12/12+3)×6"
] | true | 7.8 | 0.931 | 8.36 | 3.55 |
[
3,
6,
12,
13
] | [
"(13+3-12)×6"
] | true | 9.27 | 0.865 | 9.18 | 4.46 |
[
3,
6,
13,
13
] | [
"13+13-6/3",
"(13/13+3)×6"
] | true | 5.92 | 0.945 | 6.18 | 1.99 |
[
3,
7,
7,
7
] | [
"7+7+7+3",
"(7/7+7)×3"
] | true | 5.75 | 0.977 | 6.09 | 2.04 |
[
3,
7,
7,
8
] | [
"8×3+7-7"
] | true | 5.16 | 0.967 | 5.53 | 1.92 |
[
3,
7,
7,
9
] | [
"(9-7/7)×3"
] | true | 7.24 | 0.868 | 7.32 | 3.01 |
[
3,
7,
7,
10
] | [
"7×3+10-7",
"(10-7)×7+3"
] | true | 9.43 | 0.894 | 9.74 | 4.31 |
[
3,
7,
7,
12
] | [
"(3-7/7)×12"
] | true | 6.63 | 0.902 | 6.81 | 2.61 |
[
3,
7,
7,
13
] | [
"13+7+7-3",
"(13-7)×(7-3)"
] | true | 8.74 | 0.936 | 9.06 | 3.18 |
[
3,
7,
8,
8
] | [
"(7-3)×8-8",
"(8-7)×8×3",
"(8/8+7)×3"
] | true | 5.64 | 0.963 | 6.03 | 2.05 |
[
3,
7,
8,
9
] | [
"(9+7-8)×3"
] | true | 9.33 | 0.873 | 9.34 | 3.93 |
[
3,
7,
8,
11
] | [
"7×3+11-8",
"(8-3)×7-11",
"(11-8)×7+3"
] | true | 11.93 | 0.834 | 11.56 | 5.96 |
[
3,
7,
8,
12
] | [
"(7+3-8)×12",
"12+8+7-3",
"12×8/(7-3)",
"(7-12/3)×8"
] | true | 8.24 | 0.951 | 8.77 | 3.27 |
[
3,
7,
8,
13
] | [
"(13-7-3)×8",
"13×3-8-7"
] | true | 10.01 | 0.844 | 9.93 | 5.13 |
[
3,
7,
9,
9
] | [
"(9+3)×(9-7)",
"(9×7+9)/3",
"(9/9+7)×3"
] | true | 6.52 | 0.91 | 6.96 | 2.86 |
[
3,
7,
9,
10
] | [
"9×3+7-10",
"(10+7-9)×3",
"(10-7)×9-3"
] | true | 7.68 | 0.92 | 8.25 | 3.53 |
[
3,
7,
9,
11
] | [
"11+9+7-3",
"(9-3)×(11-7)"
] | true | 11.71 | 0.884 | 11.91 | 4.89 |
[
3,
7,
9,
12
] | [
"7×3+12-9",
"(7-3)×9-12",
"(12-7)×3+9",
"(12-9)×7+3"
] | true | 12.14 | 0.857 | 11.99 | 5.73 |
[
3,
7,
9,
13
] | [
"9×7-13×3",
"(7-13/3)×9"
] | true | 111.27 | 0.26 | 40.42 | 22.14 |
[
3,
7,
10,
10
] | [
"10+10+7-3",
"(10/10+7)×3"
] | true | 6 | 0.973 | 6.41 | 2.23 |
[
3,
7,
10,
11
] | [
"(11-3)×(10-7)",
"(11+7-10)×3"
] | true | 8.1 | 0.906 | 8.36 | 3.42 |
[
3,
7,
10,
13
] | [
"7×3+13-10",
"10×3+7-13",
"(13-10)×7+3"
] | true | 9.03 | 0.883 | 9.54 | 4.81 |
[
3,
7,
11,
11
] | [
"(11/11+7)×3"
] | true | 6.71 | 0.878 | 6.94 | 3.15 |
[
3,
7,
11,
12
] | [
"(11+3)×12/7",
"(12+7-11)×3",
"(11-7)×3+12"
] | true | 7.34 | 0.907 | 7.82 | 3.51 |
[
3,
7,
12,
12
] | [
"(12-7-3)×12",
"(12×7-12)/3",
"(12/12+7)×3"
] | true | 8.05 | 0.912 | 8.44 | 3.54 |
[
3,
7,
12,
13
] | [
"(13-7)×12/3",
"12/3+13+7",
"(13+7-12)×3"
] | true | 7.19 | 0.939 | 7.68 | 3.11 |
[
3,
7,
13,
13
] | [
"(13/13+7)×3"
] | true | 6.67 | 0.875 | 6.79 | 2.79 |
[
3,
8,
8,
8
] | [
"8×3+8-8",
"(8×8+8)/3"
] | true | 5.76 | 0.976 | 6.13 | 2.15 |
[
3,
8,
8,
9
] | [
"(9-8)×8×3",
"(9-8/8)×3"
] | true | 6.94 | 0.958 | 7.29 | 2.55 |
[
3,
8,
8,
10
] | [
"(10×8-8)/3"
] | true | 93.37 | 0.292 | 27.55 | 17.63 |
[
3,
8,
8,
11
] | [
"11+8+8-3"
] | true | 9.77 | 0.901 | 9.98 | 4.55 |
[
3,
8,
8,
12
] | [
"12×8/3-8",
"(3-8/8)×12"
] | true | 7.27 | 0.916 | 7.74 | 3.15 |
[
3,
8,
9,
9
] | [
"8×3+9-9"
] | true | 5.43 | 0.969 | 5.79 | 1.95 |
[
3,
8,
9,
10
] | [
"(10-9)×8×3",
"10+9+8-3",
"(9+3)×(10-8)"
] | true | 6.71 | 0.963 | 7.06 | 2.54 |
[
3,
8,
9,
11
] | [
"9×3+8-11",
"(11-8)×9-3"
] | true | 14.32 | 0.797 | 13.13 | 7.09 |
[
3,
8,
9,
12
] | [
"(8+3-9)×12",
"(9-3)×(12-8)"
] | true | 9.71 | 0.902 | 10.13 | 4.56 |
[
3,
8,
9,
13
] | [
"9/3+13+8",
"(13-8)×3+9"
] | true | 18.43 | 0.741 | 15.96 | 7.47 |
[
3,
8,
10,
10
] | [
"8×3+10-10"
] | true | 5.42 | 0.956 | 5.86 | 2.22 |
[
3,
8,
10,
11
] | [
"(11-10)×8×3"
] | true | 5.95 | 0.946 | 6.33 | 2.37 |
[
3,
8,
10,
12
] | [
"12×10/(8-3)"
] | true | 35.54 | 0.54 | 21.25 | 11.09 |
[
3,
8,
11,
11
] | [
"8×3+11-11",
"(11-3)×(11-8)"
] | true | 5.38 | 0.963 | 5.74 | 2.05 |
[
3,
8,
11,
12
] | [
"(12-11)×8×3"
] | true | 6.18 | 0.942 | 6.7 | 2.72 |
[
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 |
[
3,
8,
12,
13
] | [
"(13-8-3)×12",
"(13-12)×8×3",
"(13+3)×12/8"
] | true | 5.85 | 0.961 | 6.22 | 2.19 |
[
3,
8,
13,
13
] | [
"8×3+13-13"
] | true | 5.35 | 0.952 | 5.75 | 2.09 |
[
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 |
[
3,
9,
9,
10
] | [
"(9+9-10)×3"
] | true | 8.94 | 0.866 | 8.92 | 3.88 |
[
3,
9,
9,
11
] | [
"(9+3)×(11-9)",
"11×9/3-9"
] | true | 18.75 | 0.698 | 14.37 | 7.84 |
[
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 |
[
3,
9,
9,
13
] | [
"(9-3)×(13-9)"
] | true | 17.18 | 0.675 | 12.58 | 6.35 |
[
3,
9,
10,
10
] | [
"(9-10/10)×3"
] | true | 7.96 | 0.849 | 7.87 | 3.54 |
[
3,
9,
10,
11
] | [
"9/3+11+10",
"(10+9-11)×3"
] | true | 7.29 | 0.93 | 7.68 | 2.95 |
[
3,
9,
10,
12
] | [
"(9+3)×(12-10)",
"(9+3-10)×12"
] | true | 9.19 | 0.902 | 9.4 | 3.74 |
[
3,
9,
10,
13
] | [
"9×3+10-13",
"(13-10)×9-3"
] | true | 11.44 | 0.827 | 11.44 | 6.64 |
[
3,
9,
11,
11
] | [
"(3-9/11)×11",
"(9-11/11)×3"
] | true | 7.55 | 0.855 | 7.71 | 3.43 |
[
3,
9,
11,
12
] | [
"(11-3)×(12-9)",
"12/3+11+9",
"(11+9-12)×3"
] | true | 9.53 | 0.903 | 10.02 | 4.53 |
[
3,
9,
11,
13
] | [
"(9+3)×(13-11)"
] | true | 27.84 | 0.571 | 14.52 | 8.75 |
[
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 |
[
3,
9,
12,
13
] | [
"(12+9-13)×3",
"(13-9)×3+12"
] | true | 8.15 | 0.896 | 8.63 | 4.01 |
[
3,
9,
13,
13
] | [
"(9-13/13)×3"
] | true | 7.59 | 0.864 | 7.74 | 3.37 |
[
3,
10,
10,
12
] | [
"12/3+10+10",
"(10+10-12)×3",
"(3-10/10)×12"
] | true | 6.6 | 0.945 | 6.98 | 2.37 |
[
3,
10,
11,
12
] | [
"(10+3-11)×12"
] | true | 8.99 | 0.893 | 9.15 | 3.72 |
[
3,
10,
11,
13
] | [
"(11-3)×(13-10)",
"(11+10-13)×3"
] | true | 17.14 | 0.71 | 13.86 | 6.6 |
[
3,
11,
11,
12
] | [
"(3-11/11)×12"
] | true | 6.29 | 0.915 | 6.53 | 2.23 |
[
3,
11,
12,
12
] | [
"(11+3-12)×12"
] | true | 8.65 | 0.911 | 9.02 | 3.46 |
[
3,
12,
12,
12
] | [
"(3-12/12)×12"
] | true | 7.95 | 0.912 | 8.29 | 3.44 |
[
3,
12,
12,
13
] | [
"(12+3-13)×12"
] | true | 8.07 | 0.925 | 8.47 | 3.32 |
[
3,
12,
13,
13
] | [
"(3-13/13)×12"
] | true | 6.46 | 0.913 | 6.67 | 2.33 |
[
4,
4,
4,
4
] | [
"4×4+4+4"
] | true | 6.64 | 0.979 | 7.21 | 2.97 |