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
|
|---|---|---|---|---|---|---|
[
1,
7,
9,
10
] | [
"(9-1)×(10-7)"
] | true | 10.1 | 0.869 | 9.98 | 3.97 |
[
1,
7,
9,
11
] | [
"(11+1)×(9-7)"
] | true | 10.68 | 0.856 | 10.5 | 4.31 |
[
1,
7,
9,
12
] | [
"(7+1)×(12-9)",
"(9-7)×12×1"
] | true | 5.71 | 0.962 | 6.11 | 2.22 |
[
1,
7,
9,
13
] | [
"(7-1)×(13-9)",
"(13-1)×(9-7)"
] | true | 7.35 | 0.939 | 7.63 | 2.61 |
[
1,
7,
10,
12
] | [
"(10-7-1)×12",
"10/(1-7/12)"
] | true | 7.28 | 0.928 | 7.71 | 3.12 |
[
1,
7,
10,
13
] | [
"(7+1)×(13-10)"
] | true | 10.91 | 0.835 | 10.49 | 4.66 |
[
1,
7,
12,
12
] | [
"12×12/(7-1)"
] | true | 9.85 | 0.805 | 9.12 | 4.5 |
[
1,
7,
12,
13
] | [
"(13+1)×12/7"
] | true | 29.06 | 0.558 | 15.69 | 9.56 |
[
1,
7,
13,
13
] | [
"(13×13-1)/7"
] | true | 48.91 | 0.412 | 14.87 | 9.19 |
[
1,
8,
8,
8
] | [
"(8+8+8)×1"
] | true | 5.29 | 0.979 | 5.62 | 1.91 |
[
1,
8,
8,
9
] | [
"9+8+8-1"
] | true | 6.44 | 0.965 | 6.96 | 2.68 |
[
1,
8,
8,
10
] | [
"(10+1-8)×8"
] | true | 7.11 | 0.923 | 7.5 | 3.03 |
[
1,
8,
8,
11
] | [
"(11-8)×8×1"
] | true | 7.14 | 0.935 | 7.64 | 3.52 |
[
1,
8,
8,
12
] | [
"(12-8-1)×8",
"(8/8+1)×12",
"8/(1-8/12)"
] | true | 5.64 | 0.963 | 5.95 | 1.91 |
[
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 |
[
1,
8,
9,
12
] | [
"(12-9)×8×1",
"(9+1-8)×12",
"8/(12/9-1)"
] | true | 5.54 | 0.964 | 5.88 | 1.97 |
[
1,
8,
9,
13
] | [
"(13-9-1)×8"
] | true | 7.67 | 0.915 | 8.14 | 3.68 |
[
1,
8,
10,
11
] | [
"(11+1)×(10-8)"
] | true | 10.18 | 0.873 | 10.17 | 3.5 |
[
1,
8,
10,
12
] | [
"(12+1-10)×8",
"(10-8)×12×1"
] | true | 5.92 | 0.958 | 6.23 | 2.19 |
[
1,
8,
10,
13
] | [
"(13-10)×8×1",
"(13-1)×(10-8)"
] | true | 6.27 | 0.948 | 6.61 | 2.4 |
[
1,
8,
11,
12
] | [
"(11-8-1)×12"
] | true | 7.44 | 0.916 | 7.97 | 3.47 |
[
1,
8,
11,
13
] | [
"(13+1-11)×8"
] | true | 8.23 | 0.883 | 8.41 | 3.59 |
[
1,
8,
12,
12
] | [
"12/(12/8-1)"
] | true | 104.58 | 0.293 | 21.9 | 13.81 |
[
1,
9,
9,
12
] | [
"(9-1)×(12-9)",
"(9/9+1)×12"
] | true | 5.48 | 0.958 | 5.78 | 1.81 |
[
1,
9,
10,
12
] | [
"(10+1-9)×12"
] | true | 6.97 | 0.939 | 7.35 | 2.83 |
[
1,
9,
10,
13
] | [
"(9-1)×(13-10)"
] | true | 10.99 | 0.836 | 10.53 | 4.58 |
[
1,
9,
11,
11
] | [
"(11+1)×(11-9)"
] | true | 7.77 | 0.901 | 7.97 | 3.09 |
[
1,
9,
11,
12
] | [
"(11-9)×12×1"
] | true | 6.78 | 0.938 | 7.29 | 3.09 |
[
1,
9,
11,
13
] | [
"(13-1)×(11-9)"
] | true | 9.62 | 0.876 | 9.79 | 4.2 |
[
1,
9,
12,
12
] | [
"(12-9-1)×12"
] | true | 6.54 | 0.929 | 6.93 | 2.79 |
[
1,
10,
10,
12
] | [
"(10/10+1)×12"
] | true | 6.04 | 0.926 | 6.27 | 2.12 |
[
1,
10,
11,
12
] | [
"(11+1-10)×12",
"(11+1)×(12-10)"
] | true | 6.74 | 0.949 | 7.15 | 2.56 |
[
1,
10,
12,
12
] | [
"(12-10)×12×1"
] | true | 6.31 | 0.959 | 6.89 | 2.91 |
[
1,
10,
12,
13
] | [
"(13-10-1)×12",
"(13-1)×(12-10)"
] | true | 7.2 | 0.945 | 7.58 | 2.85 |
[
1,
11,
11,
12
] | [
"(11/11+1)×12"
] | true | 5.95 | 0.936 | 6.19 | 2.22 |
[
1,
11,
11,
13
] | [
"(11+1)×(13-11)",
"(13/11+1)×11"
] | true | 10.33 | 0.875 | 10.27 | 4.31 |
[
1,
11,
12,
12
] | [
"(12+1-11)×12"
] | true | 7.04 | 0.943 | 7.62 | 3.19 |
[
1,
11,
12,
13
] | [
"(13-11)×12×1"
] | true | 7.44 | 0.943 | 7.87 | 3.18 |
[
1,
11,
13,
13
] | [
"(13-1)×(13-11)",
"(11/13+1)×13"
] | true | 8.79 | 0.913 | 9.1 | 3.85 |
[
1,
12,
12,
12
] | [
"(12/12+1)×12"
] | true | 6.74 | 0.938 | 6.95 | 2.57 |
[
1,
12,
12,
13
] | [
"(13+1-12)×12"
] | true | 7.44 | 0.944 | 7.97 | 3.27 |
[
1,
12,
13,
13
] | [
"(13/13+1)×12"
] | true | 5.96 | 0.945 | 6.29 | 2.18 |
[
2,
2,
2,
3
] | [
"(2+2)×3×2",
"3×2×2×2"
] | true | 5.71 | 0.99 | 5.97 | 1.71 |
[
2,
2,
2,
4
] | [
"(4+2)×(2+2)",
"(2+2+2)×4",
"(4+2)×2×2",
"(2×2+2)×4"
] | true | 6.8 | 0.961 | 7.15 | 2.49 |
[
2,
2,
2,
5
] | [
"(5×2+2)×2"
] | true | 10.29 | 0.787 | 9.3 | 4.85 |
[
2,
2,
2,
7
] | [
"(7×2-2)×2"
] | true | 13.48 | 0.728 | 10.26 | 6.18 |
[
2,
2,
2,
8
] | [
"(8-2)×(2+2)",
"(8+2+2)×2",
"(8-2)×2×2",
"(2×2+8)×2",
"(2/2+2)×8"
] | true | 6.29 | 0.964 | 6.86 | 2.72 |
[
2,
2,
2,
9
] | [
"(9+2)×2+2"
] | true | 14.13 | 0.757 | 11.48 | 6.62 |
[
2,
2,
2,
10
] | [
"10×2+2+2",
"10×2+2×2"
] | true | 7.75 | 0.939 | 8.18 | 3.36 |
[
2,
2,
2,
11
] | [
"(2/2+11)×2",
"(11+2)×2-2"
] | true | 6.62 | 0.923 | 6.97 | 2.8 |
[
2,
2,
2,
12
] | [
"(2+2)×12/2",
"(2×2-2)×12",
"12×2+2-2"
] | true | 5 | 0.992 | 5.36 | 1.71 |
[
2,
2,
2,
13
] | [
"(13-2/2)×2",
"(13-2)×2+2"
] | true | 6.84 | 0.935 | 7.23 | 2.8 |
[
2,
2,
3,
3
] | [
"(3+3)×(2+2)",
"(3+3)×2×2",
"(3×2+2)×3"
] | true | 8.01 | 0.934 | 8.35 | 3.24 |
[
2,
2,
3,
4
] | [
"(4+2+2)×3",
"(2×2+4)×3"
] | true | 15.01 | 0.772 | 13.14 | 6.06 |
[
2,
2,
3,
5
] | [
"(5×2-2)×3"
] | true | 40.25 | 0.511 | 16.11 | 9.45 |
[
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 |
[
2,
2,
3,
7
] | [
"(2/2+7)×3",
"(7+3+2)×2"
] | true | 8.26 | 0.884 | 8.57 | 3.86 |
[
2,
2,
3,
8
] | [
"8×3+2-2",
"(8+3)×2+2"
] | true | 5.3 | 0.982 | 5.68 | 1.89 |
[
2,
2,
3,
9
] | [
"(9-3)×(2+2)",
"(9-3)×2×2",
"(9-2/2)×3",
"9×2+3×2",
"(2/3+2)×9"
] | true | 7.34 | 0.948 | 7.83 | 2.9 |
[
2,
2,
3,
10
] | [
"(10+3)×2-2"
] | true | 36.04 | 0.547 | 18.71 | 10.73 |
[
2,
2,
3,
11
] | [
"(11+3-2)×2"
] | true | 9.31 | 0.861 | 9.3 | 4.21 |
[
2,
2,
3,
12
] | [
"(2+2)×3+12",
"(12-2-2)×3",
"3×2×2+12",
"(12-2×2)×3",
"(3-2/2)×12",
"(3-2)×12×2",
"12/(2-3/2)",
"(12/2+2)×3"
] | true | 5.78 | 0.982 | 6.21 | 2.05 |
[
2,
2,
3,
13
] | [
"(13+2-3)×2"
] | true | 8.69 | 0.875 | 8.75 | 3.74 |
[
2,
2,
4,
4
] | [
"(4×2-2)×4",
"(4×2+4)×2"
] | true | 20.23 | 0.716 | 15.55 | 8.4 |
[
2,
2,
4,
5
] | [
"5×4+2+2",
"(2+2)×5+4",
"5×4+2×2",
"5×2×2+4",
"(2/2+5)×4",
"(5-2)×4×2"
] | true | 6.25 | 0.983 | 6.61 | 2.08 |
[
2,
2,
4,
6
] | [
"6×4+2-2",
"(4+2)×(6-2)",
"(6+4+2)×2",
"(4-2)×6×2",
"(4/2+2)×6"
] | true | 5.58 | 0.99 | 5.93 | 1.88 |
[
2,
2,
4,
7
] | [
"7×4-2-2",
"(2+2)×7-4",
"7×4-2×2",
"7×2×2-4",
"(7-2/2)×4",
"(7+4)×2+2"
] | true | 7.47 | 0.952 | 8.13 | 3.16 |
[
2,
2,
4,
8
] | [
"(2+2)×4+8",
"4×2×2+8",
"(4-2/2)×8",
"(4+2)×8/2",
"8×2+4×2",
"(8+2)×2+4",
"(8×2-4)×2",
"(8/2+2)×4"
] | true | 7.96 | 0.959 | 8.49 | 3.1 |
[
2,
2,
4,
9
] | [
"9×2+4+2",
"(9+4)×2-2"
] | true | 9.94 | 0.904 | 10.16 | 4.44 |
[
2,
2,
4,
10
] | [
"(10-4)×(2+2)",
"(10-2-2)×4",
"(10-4)×2×2",
"(10-2×2)×4",
"(10+4-2)×2",
"(10+2)×(4-2)",
"(10+2)×4/2",
"(4/2+10)×2"
] | true | 7.74 | 0.944 | 8.11 | 2.94 |
[
2,
2,
4,
11
] | [
"11×2+4-2",
"(4-2)×11+2",
"11×4/2+2",
"11×2+4/2"
] | true | 8.28 | 0.918 | 8.72 | 3.72 |
[
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 |
[
2,
2,
4,
13
] | [
"13×2+2-4",
"(4-2)×13-2",
"13×4/2-2",
"13×2-4/2"
] | true | 8.74 | 0.911 | 9.24 | 4.19 |
[
2,
2,
5,
5
] | [
"5×5-2/2",
"(5+5+2)×2"
] | true | 6.73 | 0.934 | 7.1 | 2.49 |
[
2,
2,
5,
6
] | [
"(5-2/2)×6",
"(6+2)×(5-2)",
"(6+5)×2+2"
] | true | 9.16 | 0.885 | 9.47 | 4.58 |
[
2,
2,
5,
7
] | [
"7×2+5×2"
] | true | 9.19 | 0.892 | 9.23 | 3.72 |
[
2,
2,
5,
8
] | [
"(8+5)×2-2"
] | true | 26.55 | 0.632 | 17.21 | 9.35 |
[
2,
2,
5,
9
] | [
"(9+5-2)×2"
] | true | 14.53 | 0.739 | 12.14 | 6.46 |
[
2,
2,
5,
10
] | [
"(5+2)×2+10",
"(10-2)×(5-2)",
"(2/5+2)×10",
"(10×5-2)/2"
] | true | 15.47 | 0.783 | 13.87 | 6.02 |
[
2,
2,
5,
11
] | [
"(11-5)×(2+2)",
"(11-5)×2×2"
] | true | 9.36 | 0.877 | 9.67 | 4.57 |
[
2,
2,
5,
12
] | [
"5×2+12+2",
"12/(5/2-2)"
] | true | 11.08 | 0.844 | 10.84 | 5.23 |
[
2,
2,
6,
6
] | [
"(6+2)×6/2",
"6×2+6×2"
] | true | 7.57 | 0.96 | 8.1 | 3.08 |
[
2,
2,
6,
7
] | [
"(7+2)×2+6",
"(7+6)×2-2"
] | true | 17.37 | 0.724 | 13.71 | 7.25 |
[
2,
2,
6,
8
] | [
"(8-2-2)×6",
"(8-2×2)×6",
"8×2+6+2",
"(6+2)×2+8",
"(8+6-2)×2",
"(8-2)×(6-2)"
] | true | 9.41 | 0.955 | 9.83 | 3.55 |
[
2,
2,
6,
9
] | [
"(6/2+9)×2",
"(9×2-6)×2"
] | true | 38.12 | 0.516 | 19 | 10.81 |
[
2,
2,
6,
10
] | [
"6×2+10+2",
"10×2+6-2",
"(10-2)×6/2"
] | true | 8.38 | 0.954 | 8.81 | 3.08 |
[
2,
2,
6,
11
] | [
"(11-2)×2+6"
] | true | 26.25 | 0.622 | 19.02 | 8.98 |
[
2,
2,
6,
12
] | [
"(12-6)×(2+2)",
"(6-2-2)×12",
"(12-6)×2×2",
"(6-2×2)×12",
"(6-2)×12/2",
"(12/2-2)×6",
"(12/2+6)×2"
] | true | 8.01 | 0.941 | 8.59 | 3.57 |
[
2,
2,
6,
13
] | [
"(13+2)×2-6"
] | true | 74.75 | 0.334 | 31.47 | 17.1 |
[
2,
2,
7,
7
] | [
"(7+7-2)×2"
] | true | 15.7 | 0.697 | 11.73 | 6.19 |
[
2,
2,
7,
8
] | [
"(7-2-2)×8",
"(7-2×2)×8",
"7×2+8+2"
] | true | 7.62 | 0.936 | 8 | 3.05 |
[
2,
2,
7,
10
] | [
"(10/2+7)×2"
] | true | 32.81 | 0.532 | 17.19 | 9.45 |
[
2,
2,
7,
12
] | [
"7×2+12-2"
] | true | 10.6 | 0.836 | 10.24 | 4.65 |
[
2,
2,
7,
13
] | [
"13+7+2+2",
"(13-7)×(2+2)",
"2×2+13+7",
"(13-7)×2×2"
] | true | 7.27 | 0.963 | 7.68 | 2.9 |
[
2,
2,
8,
8
] | [
"(2+2)×8-8",
"8×2×2-8",
"(8-2)×8/2",
"(8/2+8)×2"
] | true | 10.62 | 0.913 | 10.93 | 4.78 |
[
2,
2,
8,
9
] | [
"9×2+8-2"
] | true | 11.62 | 0.868 | 11.84 | 5.24 |
[
2,
2,
8,
10
] | [
"8×2+10-2",
"10×2+8/2",
"(10×2-8)×2",
"(10-2)×2+8",
"(10/2-2)×8"
] | true | 8.74 | 0.944 | 9.31 | 3.29 |
[
2,
2,
8,
12
] | [
"12+8+2+2",
"12×8/(2+2)",
"12×8/2/2",
"2×2+12+8",
"(8-2)×2+12",
"(8/2-2)×12"
] | true | 6.71 | 0.981 | 7.14 | 2.32 |
[
2,
2,
9,
10
] | [
"(9-2)×2+10"
] | true | 19.64 | 0.655 | 14.61 | 7.52 |
[
2,
2,
9,
11
] | [
"11+9+2+2",
"2×2+11+9"
] | true | 7.89 | 0.917 | 8.18 | 3.26 |