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
|
---|---|---|---|---|---|---|
[
6,
6,
11,
13
] | [
"(6+6)×(13-11)",
"13+11+6-6",
"(11+6-13)×6"
] | true | 5.81 | 0.979 | 6.31 | 2.21 |
[
6,
6,
12,
12
] | [
"12+12+6-6",
"(12-6)×6-12"
] | true | 5.75 | 0.984 | 6.3 | 2.32 |
[
6,
6,
12,
13
] | [
"13+12-6/6"
] | true | 7.24 | 0.904 | 7.7 | 3.17 |
[
6,
7,
7,
10
] | [
"(7+7-10)×6"
] | true | 14.08 | 0.722 | 11.24 | 5.54 |
[
6,
7,
7,
11
] | [
"7×6-11-7"
] | true | 50.13 | 0.43 | 28.85 | 15.28 |
[
6,
7,
8,
9
] | [
"8×6/(9-7)"
] | true | 10.26 | 0.845 | 10.02 | 4.61 |
[
6,
7,
8,
10
] | [
"(7+6-10)×8",
"7×6-10-8",
"(8-6)×7+10"
] | true | 8.11 | 0.914 | 8.61 | 3.65 |
[
6,
7,
8,
11
] | [
"(11+7)×8/6",
"(8+7-11)×6"
] | true | 10.8 | 0.837 | 10.54 | 5.2 |
[
6,
7,
8,
12
] | [
"(8+6)×12/7"
] | true | 65.75 | 0.405 | 18.06 | 13.1 |
[
6,
7,
9,
9
] | [
"7×6-9-9",
"(9+7)×9/6",
"(9-7)×9+6"
] | true | 12.04 | 0.806 | 11.2 | 6.1 |
[
6,
7,
9,
12
] | [
"(9+7-12)×6",
"(9-7)×6+12"
] | true | 10.11 | 0.864 | 10.04 | 4.91 |
[
6,
7,
10,
10
] | [
"(10-7)×10-6"
] | true | 14.86 | 0.703 | 11.18 | 6.19 |
[
6,
7,
10,
12
] | [
"12×7/6+10",
"12×7-10×6",
"12×6/(10-7)"
] | true | 10.92 | 0.851 | 10.85 | 4.89 |
[
6,
7,
10,
13
] | [
"13+10+7-6",
"(13-7)×(10-6)",
"(10+7-13)×6"
] | true | 7.07 | 0.967 | 7.62 | 2.81 |
[
6,
7,
11,
11
] | [
"(11-6)×7-11"
] | true | 35.8 | 0.47 | 20.51 | 10.45 |
[
6,
7,
11,
12
] | [
"(7+6-11)×12",
"12+11+7-6",
"(12-6)×(11-7)"
] | true | 6.36 | 0.97 | 6.9 | 2.62 |
[
6,
7,
11,
13
] | [
"(13+11)×(7-6)"
] | true | 7.6 | 0.901 | 8.01 | 3.52 |
[
6,
7,
12,
12
] | [
"(12+12)×(7-6)"
] | true | 5.58 | 0.958 | 5.95 | 2.03 |
[
6,
7,
12,
13
] | [
"13+12+6-7",
"(13-7)×6-12"
] | true | 6.8 | 0.955 | 7.31 | 2.78 |
[
6,
8,
8,
8
] | [
"(8-6)×8+8"
] | true | 7.08 | 0.882 | 7.54 | 3.59 |
[
6,
8,
8,
9
] | [
"9×8-8×6",
"(8+8)×9/6"
] | true | 20.38 | 0.628 | 12.06 | 7.29 |
[
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 |
[
6,
8,
8,
11
] | [
"(8+6-11)×8"
] | true | 8.75 | 0.871 | 8.86 | 3.95 |
[
6,
8,
8,
12
] | [
"12×8/6+8",
"(8+8-12)×6"
] | true | 11.41 | 0.882 | 11.61 | 5.06 |
[
6,
8,
9,
9
] | [
"(9+9)×8/6",
"9×8/(9-6)"
] | true | 10.32 | 0.862 | 10.33 | 4.3 |
[
6,
8,
9,
10
] | [
"(10-8)×9+6"
] | true | 17.26 | 0.711 | 13.34 | 7.45 |
[
6,
8,
9,
11
] | [
"8×6/(11-9)"
] | true | 10.24 | 0.844 | 10.15 | 4.86 |
[
6,
8,
9,
12
] | [
"9×8/6+12",
"(9+6-12)×8"
] | true | 11.91 | 0.865 | 11.86 | 5.1 |
[
6,
8,
9,
13
] | [
"13+9+8-6",
"(9+8-13)×6"
] | true | 8.83 | 0.941 | 9.46 | 3.94 |
[
6,
8,
10,
11
] | [
"(11-8)×10-6"
] | true | 21.39 | 0.639 | 14.37 | 7.76 |
[
6,
8,
10,
12
] | [
"8×6/(12-10)",
"12+10+8-6",
"(10+6)×12/8",
"12×8/(10-6)",
"(10-8)×6+12"
] | true | 6.77 | 0.974 | 7.35 | 2.8 |
[
6,
8,
10,
13
] | [
"(10+6-13)×8"
] | true | 8.65 | 0.865 | 8.73 | 3.87 |
[
6,
8,
11,
11
] | [
"11+11+8-6"
] | true | 7.03 | 0.942 | 7.56 | 3.11 |
[
6,
8,
11,
12
] | [
"12×6/(11-8)"
] | true | 14.04 | 0.778 | 12.57 | 5.81 |
[
6,
8,
11,
13
] | [
"8×6-13-11",
"8×6/(13-11)"
] | true | 9.35 | 0.862 | 9.65 | 4.65 |
[
6,
8,
12,
12
] | [
"(8+6-12)×12",
"8×6-12-12",
"12×8-12×6",
"(12-6)×(12-8)",
"12×12/8+6"
] | true | 9.09 | 0.914 | 9.71 | 4.3 |
[
6,
8,
13,
13
] | [
"13+13+6-8"
] | true | 7.5 | 0.933 | 7.95 | 3.12 |
[
6,
9,
9,
10
] | [
"10×9/6+9"
] | true | 76.54 | 0.328 | 34.74 | 19.4 |
[
6,
9,
9,
11
] | [
"(9-6)×11-9",
"(11-9)×9+6"
] | true | 10.63 | 0.825 | 9.98 | 5.16 |
[
6,
9,
9,
12
] | [
"12+9+9-6"
] | true | 12.51 | 0.868 | 12.4 | 5.83 |
[
6,
9,
10,
11
] | [
"11+10+9-6",
"10×9-11×6"
] | true | 9.99 | 0.915 | 10.29 | 4.13 |
[
6,
9,
10,
12
] | [
"(10-6)×9-12",
"(12-9)×10-6",
"(12-10)×9+6"
] | true | 13.09 | 0.802 | 11.83 | 6.18 |
[
6,
9,
11,
12
] | [
"(11-9)×6+12"
] | true | 13.81 | 0.75 | 11.45 | 6.17 |
[
6,
9,
11,
13
] | [
"(13-11)×9+6"
] | true | 13.77 | 0.72 | 10.75 | 6.33 |
[
6,
9,
12,
12
] | [
"(9-6)×12-12",
"(12+6)×12/9",
"12×6/(12-9)"
] | true | 6.97 | 0.893 | 7.53 | 3.73 |
[
6,
9,
12,
13
] | [
"(9+6-13)×12",
"(12-6)×(13-9)",
"12/6+13+9"
] | true | 10.59 | 0.882 | 10.68 | 4.41 |
[
6,
10,
10,
10
] | [
"10+10+10-6"
] | true | 6.51 | 0.959 | 6.78 | 2.28 |
[
6,
10,
10,
13
] | [
"(13-10)×10-6"
] | true | 15.32 | 0.689 | 11.43 | 6.41 |
[
6,
10,
11,
12
] | [
"12×10/(11-6)"
] | true | 17.58 | 0.692 | 13.65 | 6.66 |
[
6,
10,
12,
12
] | [
"12/6+12+10",
"(12-10)×6+12"
] | true | 10.08 | 0.887 | 10.37 | 4.61 |
[
6,
10,
12,
13
] | [
"12×6/(13-10)"
] | true | 11 | 0.824 | 10.46 | 4.9 |
[
6,
11,
11,
12
] | [
"12/6+11+11"
] | true | 10.16 | 0.866 | 10.02 | 4.05 |
[
6,
11,
12,
12
] | [
"(12×11+12)/6"
] | true | 71.72 | 0.357 | 16.59 | 9.98 |
[
6,
11,
12,
13
] | [
"(13-11)×6+12"
] | true | 10.69 | 0.802 | 9.84 | 5.1 |
[
6,
12,
12,
12
] | [
"12×12/(12-6)"
] | true | 14.38 | 0.759 | 12.07 | 6.97 |
[
6,
12,
12,
13
] | [
"(13×12-12)/6"
] | true | 65.31 | 0.376 | 15.89 | 9.01 |
[
6,
12,
13,
13
] | [
"13+13-12/6"
] | true | 9.95 | 0.873 | 10 | 3.82 |
[
7,
7,
7,
12
] | [
"(7+7)×12/7"
] | true | 16.45 | 0.645 | 9.38 | 6.22 |
[
7,
7,
8,
11
] | [
"(7+7-11)×8"
] | true | 11.36 | 0.801 | 10.37 | 4.67 |
[
7,
7,
9,
10
] | [
"(9-7)×7+10"
] | true | 13 | 0.757 | 11.52 | 5.28 |
[
7,
7,
10,
13
] | [
"7/7+13+10"
] | true | 6.88 | 0.899 | 7.2 | 3.18 |
[
7,
7,
11,
12
] | [
"7/7+12+11",
"(12-7)×7-11"
] | true | 5.49 | 0.938 | 5.83 | 2.13 |
[
7,
7,
11,
13
] | [
"13+11+7-7",
"(13-7)×(11-7)"
] | true | 5.87 | 0.977 | 6.42 | 2.37 |
[
7,
7,
12,
12
] | [
"(7+7-12)×12",
"12+12+7-7"
] | true | 5.22 | 0.986 | 5.59 | 1.84 |
[
7,
7,
12,
13
] | [
"7×7-13-12",
"13+12-7/7"
] | true | 6.26 | 0.939 | 6.69 | 2.37 |
[
7,
8,
8,
9
] | [
"(9-7)×8+8"
] | true | 7.39 | 0.864 | 7.82 | 3.96 |
[
7,
8,
8,
10
] | [
"10×8-8×7"
] | true | 21.4 | 0.613 | 12.87 | 8.33 |
[
7,
8,
8,
11
] | [
"(11-7)×8-8"
] | true | 8.89 | 0.809 | 8.38 | 4.53 |
[
7,
8,
8,
12
] | [
"(8+7-12)×8"
] | true | 11.16 | 0.831 | 10.67 | 4.69 |
[
7,
8,
8,
13
] | [
"(13+8)×8/7"
] | true | 88.81 | 0.298 | 27.73 | 15.99 |
[
7,
8,
9,
10
] | [
"9×8/(10-7)"
] | true | 12.36 | 0.796 | 11.28 | 5.51 |
[
7,
8,
9,
12
] | [
"(12+9)×8/7",
"(9+7)×12/8"
] | true | 43.05 | 0.482 | 16.76 | 10.32 |
[
7,
8,
9,
13
] | [
"(9+7-13)×8"
] | true | 10.33 | 0.839 | 9.99 | 4.35 |
[
7,
8,
10,
10
] | [
"(10-8)×7+10"
] | true | 11.82 | 0.792 | 11.02 | 5.21 |
[
7,
8,
10,
11
] | [
"(11+10)×8/7"
] | true | 104.51 | 0.299 | 26.05 | 15.84 |
[
7,
8,
10,
13
] | [
"13+10+8-7"
] | true | 8.96 | 0.922 | 9.51 | 4.18 |
[
7,
8,
11,
12
] | [
"12+11+8-7",
"12×8/(11-7)"
] | true | 6.7 | 0.962 | 7.16 | 2.69 |
[
7,
8,
11,
13
] | [
"(13+11)×(8-7)",
"(13-8)×7-11"
] | true | 8.04 | 0.906 | 8.61 | 3.9 |
[
7,
8,
12,
12
] | [
"(12+12)×(8-7)"
] | true | 5.72 | 0.96 | 6.15 | 2.16 |
[
7,
8,
12,
13
] | [
"(8+7-13)×12",
"13+12+7-8",
"(13-7)×(12-8)"
] | true | 6.91 | 0.967 | 7.4 | 2.62 |
[
7,
9,
9,
13
] | [
"13+9+9-7"
] | true | 10.42 | 0.878 | 10.49 | 4.67 |
[
7,
9,
10,
11
] | [
"(10-7)×11-9",
"(11-9)×7+10"
] | true | 12.71 | 0.774 | 11.18 | 5.49 |
[
7,
9,
10,
12
] | [
"12+10+9-7"
] | true | 7.39 | 0.941 | 7.95 | 3.25 |
[
7,
9,
11,
11
] | [
"11+11+9-7"
] | true | 6.38 | 0.958 | 6.86 | 2.66 |
[
7,
9,
11,
12
] | [
"(11+7)×12/9",
"(11-7)×9-12"
] | true | 37.51 | 0.503 | 18.63 | 10.96 |
[
7,
9,
12,
12
] | [
"12×9-12×7"
] | true | 15.98 | 0.642 | 9.71 | 5.73 |
[
7,
9,
13,
13
] | [
"13+13+7-9",
"(13-7)×(13-9)"
] | true | 6.91 | 0.965 | 7.48 | 2.77 |
[
7,
10,
10,
11
] | [
"11+10+10-7"
] | true | 7.38 | 0.937 | 7.72 | 2.98 |
[
7,
10,
10,
12
] | [
"(12-10)×7+10"
] | true | 12.68 | 0.778 | 11.52 | 5.48 |
[
7,
10,
11,
13
] | [
"(13-11)×7+10"
] | true | 13.72 | 0.74 | 11.37 | 5.96 |
[
7,
10,
12,
12
] | [
"(10-7)×12-12",
"12×10/(12-7)"
] | true | 7.8 | 0.847 | 7.89 | 3.92 |
[
7,
10,
12,
13
] | [
"(13+7)×12/10"
] | true | 67.34 | 0.376 | 22.94 | 13.2 |
[
7,
12,
12,
13
] | [
"12×12/(13-7)",
"(13×12+12)/7"
] | true | 9.38 | 0.828 | 9.14 | 4.24 |
[
8,
8,
8,
10
] | [
"(10-8)×8+8"
] | true | 6.53 | 0.902 | 6.84 | 2.94 |
[
8,
8,
8,
11
] | [
"11×8-8×8"
] | true | 18.2 | 0.632 | 10.83 | 6.35 |
[
8,
8,
8,
12
] | [
"(8+8)×12/8",
"(12-8)×8-8"
] | true | 7.64 | 0.882 | 8.02 | 4.01 |
[
8,
8,
8,
13
] | [
"(8+8-13)×8"
] | true | 9.44 | 0.843 | 9.4 | 4.42 |
[
8,
8,
9,
11
] | [
"9×8/(11-8)",
"(11-9)×8+8"
] | true | 7.27 | 0.894 | 7.82 | 3.81 |
[
8,
8,
9,
12
] | [
"12×8-9×8"
] | true | 25.95 | 0.568 | 13.14 | 7.83 |
[
8,
8,
9,
13
] | [
"(13-9)×8-8"
] | true | 9.36 | 0.811 | 8.94 | 4.86 |