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
|
---|---|---|---|---|---|---|
[
2,
7,
8,
11
] | [
"(7×2-11)×8",
"11+8+7-2",
"(8-2)×(11-7)",
"(11+8-7)×2"
] | true | 8.23 | 0.949 | 8.76 | 3.58 |
[
2,
7,
8,
12
] | [
"(12-7-2)×8",
"(8-7)×12×2"
] | true | 6.37 | 0.952 | 6.83 | 2.6 |
[
2,
7,
8,
13
] | [
"(13-7)×8/2",
"8/2+13+7",
"(13+7-8)×2"
] | true | 7.48 | 0.942 | 8 | 3.17 |
[
2,
7,
9,
10
] | [
"10+9+7-2",
"(10+2)×(9-7)",
"(10+9-7)×2"
] | true | 8.25 | 0.94 | 8.66 | 3.26 |
[
2,
7,
9,
11
] | [
"11×2+9-7",
"(9-7)×11+2"
] | true | 12.03 | 0.837 | 11.6 | 5.5 |
[
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 |
[
2,
7,
10,
10
] | [
"(10-2)×(10-7)",
"(10+7)×2-10"
] | true | 17.77 | 0.678 | 13.95 | 6.11 |
[
2,
7,
10,
11
] | [
"10×7/2-11",
"10×2+11-7"
] | true | 13.84 | 0.786 | 12.62 | 6.25 |
[
2,
7,
10,
12
] | [
"12×10/(7-2)",
"10/2+12+7",
"(7-10/2)×12"
] | true | 19.58 | 0.705 | 16.12 | 7.12 |
[
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,
7,
12,
12
] | [
"(7×2-12)×12",
"(12+2)×12/7"
] | true | 22.11 | 0.621 | 12.95 | 7.89 |
[
2,
7,
12,
13
] | [
"12/(7-13/2)",
"(13-7)×2+12"
] | true | 11.06 | 0.804 | 10.17 | 5.11 |
[
2,
8,
8,
8
] | [
"8×8/2-8",
"(8+8)×2-8",
"(8/8+2)×8"
] | true | 7.25 | 0.938 | 7.83 | 3.39 |
[
2,
8,
8,
9
] | [
"(9+2-8)×8"
] | true | 8.16 | 0.904 | 8.5 | 3.44 |
[
2,
8,
8,
10
] | [
"10+8+8-2",
"(8-10/2)×8"
] | true | 9.27 | 0.928 | 9.51 | 3.81 |
[
2,
8,
8,
11
] | [
"(8/8+11)×2"
] | true | 8.54 | 0.84 | 8.24 | 3.61 |
[
2,
8,
8,
12
] | [
"(8-2)×(12-8)",
"8/2+12+8",
"12×2+8-8"
] | true | 6.01 | 0.975 | 6.54 | 2.48 |
[
2,
8,
8,
13
] | [
"(13-8-2)×8",
"(8×2-13)×8",
"(13-8/8)×2"
] | true | 6.58 | 0.93 | 7.02 | 2.65 |
[
2,
8,
9,
9
] | [
"9+9+8-2",
"(9/9+2)×8"
] | true | 5.8 | 0.964 | 6.22 | 2.13 |
[
2,
8,
9,
10
] | [
"(10+2-9)×8",
"(9+8)×2-10"
] | true | 8.35 | 0.887 | 8.55 | 3.86 |
[
2,
8,
9,
11
] | [
"8/2+11+9",
"(11+9-8)×2"
] | true | 8.93 | 0.908 | 9.35 | 3.94 |
[
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 |
[
2,
8,
9,
13
] | [
"(8-2)×(13-9)",
"(13+8-9)×2",
"9/(2-13/8)"
] | true | 8.48 | 0.9 | 8.65 | 3.72 |
[
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,
8,
10,
11
] | [
"(11+2-10)×8",
"(10-2)×(11-8)",
"10/2+11+8",
"11×2+10-8",
"(10-8)×11+2"
] | true | 6.56 | 0.95 | 7.07 | 2.71 |
[
2,
8,
10,
12
] | [
"10×2+12-8",
"12/2+10+8",
"(10+8)×2-12"
] | true | 18.48 | 0.803 | 17.06 | 7.86 |
[
2,
8,
10,
13
] | [
"13×2+8-10",
"(10-8)×13-2"
] | true | 13.91 | 0.809 | 13.04 | 6.27 |
[
2,
8,
11,
11
] | [
"(11/11+2)×8"
] | true | 6.49 | 0.889 | 6.66 | 2.84 |
[
2,
8,
11,
12
] | [
"(12+2-11)×8"
] | true | 8.68 | 0.884 | 8.9 | 4.23 |
[
2,
8,
12,
12
] | [
"(12-8-2)×12",
"12×12/(8-2)",
"(12-8)×12/2",
"(8-12/2)×12",
"12/(2-12/8)",
"(12/12+2)×8"
] | true | 7.01 | 0.953 | 7.36 | 2.61 |
[
2,
8,
12,
13
] | [
"(13+2-12)×8"
] | true | 7.68 | 0.898 | 7.95 | 3.55 |
[
2,
8,
13,
13
] | [
"(13/13+2)×8"
] | true | 6.18 | 0.902 | 6.49 | 2.62 |
[
2,
9,
9,
11
] | [
"(9/9+11)×2"
] | true | 7.09 | 0.875 | 7.12 | 2.81 |
[
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 |
[
2,
9,
9,
13
] | [
"(13-9/9)×2"
] | true | 7.16 | 0.887 | 7.25 | 2.65 |
[
2,
9,
10,
10
] | [
"10/2+10+9"
] | true | 22.99 | 0.62 | 17.29 | 7.78 |
[
2,
9,
10,
11
] | [
"(10+2)×(11-9)",
"(11+10-9)×2"
] | true | 8.63 | 0.888 | 8.57 | 3.39 |
[
2,
9,
10,
12
] | [
"(10-2)×(12-9)",
"(10-9)×12×2"
] | true | 7.28 | 0.941 | 7.63 | 2.89 |
[
2,
9,
10,
13
] | [
"10×2+13-9",
"(13+9-10)×2"
] | true | 8.87 | 0.901 | 9.36 | 4.17 |
[
2,
9,
11,
11
] | [
"11×2+11-9",
"(11-9)×11+2"
] | true | 8.95 | 0.894 | 9.29 | 4.06 |
[
2,
9,
11,
13
] | [
"13×2+9-11",
"(11-9)×13-2"
] | true | 12.49 | 0.82 | 11.79 | 5.68 |
[
2,
9,
12,
13
] | [
"(13-9-2)×12",
"(13-9)×12/2"
] | true | 8.64 | 0.908 | 9.03 | 3.91 |
[
2,
9,
13,
13
] | [
"(13+9)/2+13"
] | true | 111.17 | 0.251 | 32.13 | 19.96 |
[
2,
10,
10,
11
] | [
"(10/10+11)×2"
] | true | 7.59 | 0.85 | 7.41 | 3.02 |
[
2,
10,
10,
12
] | [
"(10+2)×(12-10)",
"12×2+10-10"
] | true | 5.89 | 0.972 | 6.29 | 2.3 |
[
2,
10,
10,
13
] | [
"(10-2)×(13-10)",
"(13-10/10)×2"
] | true | 7.63 | 0.899 | 7.84 | 3.04 |
[
2,
10,
11,
11
] | [
"(11+11-10)×2"
] | true | 9.39 | 0.862 | 9.37 | 4.07 |
[
2,
10,
11,
12
] | [
"11×2+12-10",
"(11-10)×12×2",
"(12-10)×11+2"
] | true | 6.62 | 0.958 | 6.95 | 2.42 |
[
2,
10,
11,
13
] | [
"(10+2)×(13-11)",
"(13+10-11)×2"
] | true | 8.6 | 0.897 | 8.66 | 3.42 |
[
2,
10,
12,
13
] | [
"13×2+10-12",
"(12+10)/2+13",
"(12-10)×13-2"
] | true | 14.51 | 0.813 | 13.58 | 6.28 |
[
2,
11,
11,
11
] | [
"(11/11+11)×2"
] | true | 6.21 | 0.897 | 6.28 | 2.49 |
[
2,
11,
11,
12
] | [
"12×2+11-11"
] | true | 5.33 | 0.974 | 5.74 | 2.01 |
[
2,
11,
11,
13
] | [
"11×2+13-11",
"(11+11)/2+13",
"(13-11/11)×2",
"(13-11)×11+2"
] | true | 6.83 | 0.951 | 7.36 | 2.84 |
[
2,
11,
12,
12
] | [
"(12-11)×12×2",
"(12/12+11)×2"
] | true | 6.14 | 0.956 | 6.56 | 2.28 |
[
2,
11,
12,
13
] | [
"(13+11-12)×2",
"(13+11)/2+12"
] | true | 9.15 | 0.898 | 9.57 | 4.11 |
[
2,
11,
13,
13
] | [
"13×2+11-13",
"(13-11)×13-2",
"(13+13)/2+11",
"(13/13+11)×2"
] | true | 6.56 | 0.942 | 6.99 | 2.58 |
[
2,
12,
12,
12
] | [
"12×2+12-12",
"(12+12)/2+12"
] | true | 6.39 | 0.984 | 6.77 | 2.44 |
[
2,
12,
12,
13
] | [
"(13-12)×12×2",
"(13-12/12)×2"
] | true | 6.43 | 0.956 | 6.84 | 2.43 |
[
2,
12,
13,
13
] | [
"12×2+13-13"
] | true | 5.5 | 0.972 | 5.86 | 2.03 |
[
2,
13,
13,
13
] | [
"(13-13/13)×2"
] | true | 6.21 | 0.909 | 6.4 | 2.38 |
[
3,
3,
3,
3
] | [
"3×3×3-3"
] | true | 6.88 | 0.96 | 7.55 | 3.39 |
[
3,
3,
3,
4
] | [
"(3×3-3)×4",
"(4+3)×3+3"
] | true | 12.83 | 0.82 | 11.78 | 5.94 |
[
3,
3,
3,
5
] | [
"5×3+3×3"
] | true | 10.14 | 0.856 | 9.81 | 4.22 |
[
3,
3,
3,
6
] | [
"6×3+3+3",
"(3+3)×3+6",
"(3/3+3)×6",
"(6+3)×3-3"
] | true | 6.24 | 0.977 | 6.79 | 2.6 |
[
3,
3,
3,
7
] | [
"(3+3)×(7-3)",
"(3/3+7)×3"
] | true | 7.09 | 0.921 | 7.53 | 3.29 |
[
3,
3,
3,
8
] | [
"8×3+3-3"
] | true | 5.07 | 0.982 | 5.46 | 1.82 |
[
3,
3,
3,
9
] | [
"(9-3/3)×3"
] | true | 9.63 | 0.842 | 9.58 | 4.9 |
[
3,
3,
3,
10
] | [
"10×3-3-3",
"(10-3)×3+3"
] | true | 6.92 | 0.944 | 7.49 | 3.17 |
[
3,
3,
3,
11
] | [
"11×3-3×3"
] | true | 12.39 | 0.786 | 11.1 | 5.61 |
[
3,
3,
3,
12
] | [
"(3+3)×12/3",
"3×3+12+3",
"(3-3/3)×12",
"(12-3)×3-3"
] | true | 6.17 | 0.97 | 6.66 | 2.46 |
[
3,
3,
4,
4
] | [
"4×3+4×3",
"(4×3-4)×3"
] | true | 7.05 | 0.945 | 7.41 | 2.63 |
[
3,
3,
4,
5
] | [
"(3/3+5)×4",
"(5-3)×4×3",
"(5+4)×3-3"
] | true | 7.45 | 0.94 | 7.9 | 3.25 |
[
3,
3,
4,
6
] | [
"6×4+3-3"
] | true | 5.69 | 0.978 | 6.13 | 2.08 |
[
3,
3,
4,
7
] | [
"(7-3/3)×4",
"(7+4-3)×3"
] | true | 7.88 | 0.903 | 8.39 | 3.65 |
[
3,
3,
4,
8
] | [
"(3+3)×(8-4)",
"(4-3/3)×8",
"(4-3)×8×3"
] | true | 6.12 | 0.964 | 6.46 | 2.14 |
[
3,
3,
4,
9
] | [
"4×3+9+3",
"(9+3-4)×3",
"(9/3+3)×4"
] | true | 9.6 | 0.922 | 9.9 | 3.86 |
[
3,
3,
4,
11
] | [
"3×3+11+4",
"(11-4)×3+3"
] | true | 11.13 | 0.885 | 11.18 | 5.5 |
[
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 |
[
3,
3,
4,
13
] | [
"(13-4)×3-3"
] | true | 15.11 | 0.765 | 12.74 | 7.08 |
[
3,
3,
5,
5
] | [
"5×5-3/3"
] | true | 7.6 | 0.895 | 7.87 | 3.24 |
[
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 |
[
3,
3,
5,
7
] | [
"(5×3-7)×3"
] | true | 108.12 | 0.294 | 30.91 | 19.93 |
[
3,
3,
5,
9
] | [
"(3+3)×(9-5)",
"(5+3)×9/3",
"(9+3)×(5-3)",
"(9/3+5)×3"
] | true | 9.77 | 0.873 | 9.76 | 4.06 |
[
3,
3,
5,
10
] | [
"3×3+10+5",
"(10+3-5)×3",
"(3-3/5)×10"
] | true | 13.28 | 0.83 | 12.36 | 5.42 |
[
3,
3,
5,
12
] | [
"5×3+12-3",
"(12-5)×3+3"
] | true | 11.66 | 0.873 | 11.77 | 5.3 |
[
3,
3,
5,
13
] | [
"13+5+3+3",
"13×3-5×3"
] | true | 11.86 | 0.852 | 11.62 | 4.87 |
[
3,
3,
6,
6
] | [
"(6/3+6)×3"
] | true | 30.23 | 0.575 | 14.99 | 9.07 |
[
3,
3,
6,
7
] | [
"7×3+6-3",
"(6-3)×7+3",
"(7+3)×3-6"
] | true | 10.61 | 0.886 | 10.93 | 4.75 |
[
3,
3,
6,
8
] | [
"(3×3-6)×8",
"(6+3)×8/3"
] | true | 12.97 | 0.744 | 10.8 | 5.9 |
[
3,
3,
6,
9
] | [
"3×3+9+6",
"6×3+9-3",
"9×3+3-6",
"(6-3)×9-3",
"(9+3)×6/3",
"(9-3)×3+6"
] | true | 9.63 | 0.944 | 10.27 | 4.02 |
[
3,
3,
6,
10
] | [
"(3+3)×(10-6)",
"(10-3-3)×6",
"(6×3-10)×3",
"(10-6/3)×3"
] | true | 10.15 | 0.866 | 10.01 | 4.34 |
[
3,
3,
6,
11
] | [
"11×3-6-3",
"(11+3-6)×3",
"(11-3)×(6-3)"
] | true | 9.58 | 0.903 | 9.94 | 4.55 |
[
3,
3,
6,
12
] | [
"12+6+3+3",
"(3+3)×6-12"
] | true | 11.42 | 0.873 | 11.66 | 6.05 |
[
3,
3,
6,
13
] | [
"(13-3×3)×6",
"(13-3)×3-6",
"(13-6)×3+3"
] | true | 10.42 | 0.863 | 10.59 | 5.43 |
[
3,
3,
7,
7
] | [
"(3/7+3)×7"
] | true | 51.64 | 0.407 | 13.53 | 8.22 |
[
3,
3,
7,
8
] | [
"3×3+8+7"
] | true | 21.74 | 0.691 | 17.49 | 8.32 |
[
3,
3,
7,
9
] | [
"7×3+9/3",
"(9-3)×(7-3)",
"9×7/3+3"
] | true | 9.86 | 0.909 | 10.09 | 3.81 |
[
3,
3,
7,
11
] | [
"11+7+3+3",
"(3+3)×(11-7)"
] | true | 8.61 | 0.922 | 8.92 | 3.64 |
[
3,
3,
7,
12
] | [
"(3×3-7)×12",
"(12+3-7)×3",
"(7-3)×3+12"
] | true | 10.53 | 0.844 | 10.37 | 5.39 |
[
3,
3,
7,
13
] | [
"(7×3-13)×3"
] | true | 94.36 | 0.273 | 33.82 | 19.64 |