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
|
---|---|---|---|---|---|---|
[
4,
4,
4,
5
] | [
"(4/4+5)×4"
] | true | 8.03 | 0.85 | 8.05 | 3.95 |
[
4,
4,
4,
6
] | [
"6×4+4-4"
] | true | 5.27 | 0.982 | 5.66 | 1.95 |
[
4,
4,
4,
7
] | [
"(4+4)×(7-4)",
"(7-4/4)×4"
] | true | 7.55 | 0.914 | 7.94 | 3.42 |
[
4,
4,
4,
8
] | [
"8×4-4-4",
"(4+4)×4-8",
"(4-4/4)×8",
"(8/4+4)×4"
] | true | 6.89 | 0.963 | 7.49 | 2.9 |
[
4,
4,
4,
9
] | [
"(9-4)×4+4"
] | true | 8.61 | 0.881 | 8.62 | 4.06 |
[
4,
4,
4,
10
] | [
"10×4-4×4",
"(4×4-10)×4"
] | true | 15.27 | 0.765 | 13.03 | 6.5 |
[
4,
4,
4,
11
] | [
"(11-4)×4-4"
] | true | 8.69 | 0.863 | 8.87 | 4.6 |
[
4,
4,
4,
12
] | [
"12+4+4+4",
"(4+4)×12/4",
"4×4+12-4"
] | true | 7.04 | 0.965 | 7.49 | 2.91 |
[
4,
4,
5,
5
] | [
"5×5-4/4",
"(5+5-4)×4",
"(4/5+4)×5"
] | true | 6.75 | 0.933 | 7.25 | 2.65 |
[
4,
4,
5,
6
] | [
"(5-4/4)×6",
"(5-4)×6×4"
] | true | 6.3 | 0.958 | 6.62 | 2.25 |
[
4,
4,
5,
7
] | [
"(7+4-5)×4"
] | true | 9.96 | 0.852 | 9.63 | 4.6 |
[
4,
4,
5,
8
] | [
"(4+4)×(8-5)",
"(4+4-5)×8",
"8×5-4×4",
"5×4+8-4",
"(8-4)×5+4"
] | true | 7.44 | 0.96 | 7.82 | 2.63 |
[
4,
4,
5,
10
] | [
"(10-5)×4+4",
"(10/5+4)×4"
] | true | 9.34 | 0.859 | 9.35 | 4.79 |
[
4,
4,
5,
11
] | [
"11+5+4+4",
"11×4-5×4"
] | true | 11.59 | 0.852 | 11.38 | 4.8 |
[
4,
4,
5,
12
] | [
"(5+4)×4-12",
"(12-5)×4-4"
] | true | 13.64 | 0.791 | 12.1 | 6.42 |
[
4,
4,
5,
13
] | [
"4×4+13-5"
] | true | 16.19 | 0.724 | 12.52 | 7.38 |
[
4,
4,
6,
8
] | [
"(8+4-6)×4",
"(8+4)×(6-4)"
] | true | 13.5 | 0.833 | 12.71 | 6.9 |
[
4,
4,
6,
9
] | [
"(4+4)×(9-6)",
"9×4×4/6"
] | true | 12.94 | 0.768 | 11.01 | 5.86 |
[
4,
4,
6,
10
] | [
"10+6+4+4",
"(6-4)×10+4"
] | true | 12.64 | 0.88 | 12.64 | 5.29 |
[
4,
4,
6,
11
] | [
"(11-6)×4+4"
] | true | 8.94 | 0.864 | 8.91 | 4.57 |
[
4,
4,
6,
12
] | [
"(4+4-6)×12",
"(12-4-4)×6",
"(4×4-12)×6",
"12×4-6×4",
"12×4/(6-4)",
"(12+4)×6/4",
"(12/6+4)×4"
] | true | 8.22 | 0.942 | 8.94 | 3.9 |
[
4,
4,
6,
13
] | [
"(13-6)×4-4"
] | true | 10.37 | 0.826 | 9.8 | 5.25 |
[
4,
4,
7,
7
] | [
"(4-4/7)×7"
] | true | 57.94 | 0.392 | 15.64 | 9.07 |
[
4,
4,
7,
8
] | [
"7×4+4-8",
"(8-4)×7-4"
] | true | 12.93 | 0.839 | 12.63 | 5.75 |
[
4,
4,
7,
9
] | [
"9+7+4+4",
"(9+4-7)×4"
] | true | 7.71 | 0.935 | 8.13 | 3.48 |
[
4,
4,
7,
10
] | [
"(4+4)×(10-7)"
] | true | 11.44 | 0.749 | 9.34 | 4.67 |
[
4,
4,
7,
12
] | [
"(12-4)×(7-4)",
"(7-4)×4+12",
"(12-7)×4+4"
] | true | 8.69 | 0.895 | 8.97 | 4.17 |
[
4,
4,
7,
13
] | [
"13×4-7×4"
] | true | 31.7 | 0.536 | 15.61 | 9.66 |
[
4,
4,
8,
8
] | [
"8+8+4+4",
"(8+4)×8/4",
"(8-4)×4+8",
"(8-8/4)×4"
] | true | 7.6 | 0.959 | 8.21 | 3.21 |
[
4,
4,
8,
9
] | [
"9×4-8-4"
] | true | 21.4 | 0.697 | 17.26 | 8.52 |
[
4,
4,
8,
10
] | [
"(10+4-8)×4",
"(10-4)×(8-4)",
"10×8/4+4"
] | true | 9.03 | 0.912 | 9.38 | 4.47 |
[
4,
4,
8,
11
] | [
"(4+4)×(11-8)",
"(11-4-4)×8"
] | true | 8.56 | 0.869 | 8.57 | 3.87 |
[
4,
4,
8,
12
] | [
"12×4×4/8",
"8×4+4-12",
"(4-8/4)×12",
"(12-4)×4-8"
] | true | 11.2 | 0.92 | 11.87 | 5.22 |
[
4,
4,
8,
13
] | [
"(4×4-13)×8",
"(13-8)×4+4"
] | true | 9.15 | 0.865 | 9.05 | 4.33 |
[
4,
4,
9,
11
] | [
"(11+4-9)×4"
] | true | 9.09 | 0.822 | 8.74 | 4.7 |
[
4,
4,
9,
12
] | [
"(4+4)×(12-9)",
"(9-12/4)×4"
] | true | 11.53 | 0.782 | 10.45 | 4.91 |
[
4,
4,
10,
10
] | [
"(10×10-4)/4"
] | true | 62.74 | 0.397 | 14.21 | 9.64 |
[
4,
4,
10,
12
] | [
"(10-4-4)×12",
"10×4-12-4",
"(12+4-10)×4"
] | true | 8.34 | 0.908 | 8.7 | 4 |
[
4,
4,
10,
13
] | [
"(4+4)×(13-10)",
"4/4+13+10"
] | true | 6.37 | 0.936 | 6.83 | 2.83 |
[
4,
4,
11,
12
] | [
"4/4+12+11"
] | true | 5.81 | 0.92 | 6.13 | 2.4 |
[
4,
4,
11,
13
] | [
"13+11+4-4",
"(13+4-11)×4"
] | true | 5.71 | 0.981 | 6.32 | 2.38 |
[
4,
4,
12,
12
] | [
"12+12+4-4",
"(12-4)×12/4"
] | true | 5.5 | 0.987 | 5.95 | 2.04 |
[
4,
4,
12,
13
] | [
"13+12-4/4",
"(13-4)×4-12"
] | true | 6.75 | 0.922 | 7.13 | 2.64 |
[
4,
5,
5,
5
] | [
"5×5+4-5",
"(5/5+5)×4"
] | true | 6.05 | 0.976 | 6.61 | 2.43 |
[
4,
5,
5,
6
] | [
"6×4+5-5"
] | true | 5.65 | 0.975 | 6.08 | 2.12 |
[
4,
5,
5,
7
] | [
"(7-5/5)×4"
] | true | 9.75 | 0.826 | 9.27 | 4.37 |
[
4,
5,
5,
8
] | [
"(4-5/5)×8"
] | true | 7.38 | 0.879 | 7.52 | 3 |
[
4,
5,
5,
9
] | [
"5×4+9-5",
"(9-5)×5+4"
] | true | 9.04 | 0.915 | 9.42 | 3.93 |
[
4,
5,
5,
10
] | [
"10+5+5+4"
] | true | 12.02 | 0.812 | 11.13 | 4.48 |
[
4,
5,
6,
6
] | [
"(6-5)×6×4",
"(6/6+5)×4"
] | true | 6.5 | 0.954 | 6.85 | 2.37 |
[
4,
5,
6,
7
] | [
"(7+5)×(6-4)",
"(7+5-6)×4"
] | true | 8.81 | 0.897 | 9.2 | 3.97 |
[
4,
5,
6,
8
] | [
"(5+4-6)×8"
] | true | 10.64 | 0.873 | 10.56 | 4.35 |
[
4,
5,
6,
9
] | [
"9+6+5+4"
] | true | 18.8 | 0.757 | 16.88 | 7.22 |
[
4,
5,
6,
10
] | [
"5×4+10-6",
"6×5+4-10",
"(10-4)×5-6",
"(10-6)×5+4"
] | true | 10.21 | 0.904 | 10.67 | 4.44 |
[
4,
5,
6,
11
] | [
"(11+5)×6/4"
] | true | 64.1 | 0.381 | 20.05 | 11.42 |
[
4,
5,
6,
12
] | [
"(6+4)×12/5"
] | true | 59.96 | 0.439 | 22.08 | 16.11 |
[
4,
5,
6,
13
] | [
"(13-5-4)×6"
] | true | 11.9 | 0.782 | 10.49 | 5.18 |
[
4,
5,
7,
7
] | [
"7×5-7-4",
"(7/7+5)×4"
] | true | 6.93 | 0.911 | 7.53 | 3.6 |
[
4,
5,
7,
8
] | [
"8+7+5+4",
"(8+4)×(7-5)",
"(7+5)×8/4",
"(8+5-7)×4"
] | true | 7.85 | 0.955 | 8.31 | 3.14 |
[
4,
5,
7,
9
] | [
"7×4+5-9",
"(7-4)×5+9",
"9×4-7-5",
"(9-5)×7-4"
] | true | 10.47 | 0.87 | 10.71 | 5.18 |
[
4,
5,
7,
10
] | [
"(7-5)×10+4"
] | true | 23.06 | 0.634 | 15.23 | 8.36 |
[
4,
5,
7,
11
] | [
"5×4+11-7",
"(11-7)×5+4"
] | true | 9.8 | 0.871 | 9.97 | 5.04 |
[
4,
5,
7,
12
] | [
"(5+4-7)×12",
"12×4/(7-5)"
] | true | 9.6 | 0.878 | 9.54 | 4.02 |
[
4,
5,
7,
13
] | [
"(13-5)×(7-4)",
"(13×7+5)/4"
] | true | 16.58 | 0.722 | 13.01 | 6.56 |
[
4,
5,
8,
8
] | [
"(5-8/4)×8",
"(8/8+5)×4"
] | true | 8.85 | 0.868 | 8.91 | 4.11 |
[
4,
5,
8,
9
] | [
"(9+5-8)×4",
"(9-5)×4+8"
] | true | 8.12 | 0.894 | 8.53 | 4.16 |
[
4,
5,
8,
10
] | [
"(8+4)×10/5",
"(4-8/5)×10",
"(8-10/5)×4",
"(8/10+4)×5"
] | true | 14.33 | 0.756 | 11.89 | 6.13 |
[
4,
5,
8,
11
] | [
"(11-5)×(8-4)",
"(11+4)×8/5"
] | true | 15.8 | 0.729 | 12.56 | 7.24 |
[
4,
5,
8,
12
] | [
"(12-5-4)×8",
"5×4+12-8",
"8×5-12-4",
"(12-4)×(8-5)",
"(8-5)×4+12",
"(12-8)×5+4"
] | true | 8.67 | 0.934 | 9.22 | 3.78 |
[
4,
5,
8,
13
] | [
"8×4+5-13",
"(13-5)×4-8"
] | true | 13.51 | 0.779 | 11.91 | 6.17 |
[
4,
5,
9,
9
] | [
"(9/9+5)×4"
] | true | 6.51 | 0.882 | 6.76 | 2.8 |
[
4,
5,
9,
10
] | [
"(10-4)×(9-5)",
"(10+5-9)×4"
] | true | 8.25 | 0.905 | 8.59 | 3.68 |
[
4,
5,
9,
12
] | [
"12×5/4+9",
"12×5-9×4"
] | true | 31.32 | 0.6 | 23.3 | 10.91 |
[
4,
5,
9,
13
] | [
"5×4+13-9",
"(13-9)×5+4"
] | true | 9.01 | 0.893 | 9.68 | 4.99 |
[
4,
5,
10,
10
] | [
"10×10/5+4",
"(10/10+5)×4"
] | true | 7.1 | 0.913 | 7.49 | 3.25 |
[
4,
5,
10,
11
] | [
"10×4-11-5",
"(11+5-10)×4"
] | true | 8.06 | 0.881 | 8.5 | 4.35 |
[
4,
5,
10,
12
] | [
"12×5×4/10",
"(4-10/5)×12"
] | true | 10.79 | 0.868 | 10.63 | 4.5 |
[
4,
5,
10,
13
] | [
"13+10+5-4"
] | true | 9.3 | 0.914 | 9.81 | 4.45 |
[
4,
5,
11,
11
] | [
"(11-4)×5-11",
"(11/11+5)×4"
] | true | 6.83 | 0.874 | 7.33 | 3.71 |
[
4,
5,
11,
12
] | [
"(11-5-4)×12",
"12+11+5-4",
"(12+5-11)×4"
] | true | 5.68 | 0.975 | 6.09 | 2.09 |
[
4,
5,
11,
13
] | [
"(13+11)×(5-4)"
] | true | 7.28 | 0.906 | 7.76 | 3.39 |
[
4,
5,
12,
12
] | [
"(12+12)×(5-4)",
"(5-12/4)×12",
"(12/12+5)×4"
] | true | 5.24 | 0.971 | 5.61 | 1.78 |
[
4,
5,
12,
13
] | [
"13+12+4-5",
"(13-5)×12/4",
"(13+5-12)×4"
] | true | 5.92 | 0.977 | 6.44 | 2.16 |
[
4,
5,
13,
13
] | [
"(13/13+5)×4"
] | true | 6.58 | 0.876 | 6.78 | 2.89 |
[
4,
6,
6,
6
] | [
"6×4+6-6",
"(6+6)×(6-4)"
] | true | 5.6 | 0.985 | 5.99 | 2.03 |
[
4,
6,
6,
7
] | [
"(7-6)×6×4",
"(7-4)×6+6",
"(7-6/6)×4"
] | true | 5.86 | 0.966 | 6.23 | 2.09 |
[
4,
6,
6,
8
] | [
"8+6+6+4",
"8×6-6×4",
"8×6/(6-4)",
"6×6-8-4",
"(6+6)×8/4",
"(6-8/4)×6",
"(4-6/6)×8"
] | true | 7.15 | 0.974 | 7.64 | 2.63 |
[
4,
6,
6,
9
] | [
"(6-4)×9+6",
"9×4-6-6",
"(9-4)×6-6"
] | true | 10.61 | 0.879 | 10.93 | 5.48 |
[
4,
6,
6,
10
] | [
"(10+6)×6/4"
] | true | 58.72 | 0.4 | 23.53 | 13.1 |
[
4,
6,
6,
12
] | [
"(6-4)×6+12",
"12×6/4+6"
] | true | 12.19 | 0.86 | 11.97 | 6.04 |
[
4,
6,
7,
7
] | [
"7+7+6+4",
"6×4+7-7"
] | true | 5.21 | 0.987 | 5.55 | 1.84 |
[
4,
6,
7,
8
] | [
"(6+4-7)×8",
"(8-7)×6×4"
] | true | 6.57 | 0.957 | 7.02 | 2.51 |
[
4,
6,
7,
9
] | [
"(9+7)×6/4"
] | true | 59.92 | 0.421 | 20.42 | 12.69 |
[
4,
6,
7,
10
] | [
"(6-4)×7+10",
"7×4+6-10",
"(7-4)×10-6",
"(10-6)×7-4"
] | true | 10.32 | 0.869 | 10.46 | 4.88 |
[
4,
6,
7,
12
] | [
"12×6/(7-4)",
"(7-12/4)×6"
] | true | 12 | 0.813 | 11.54 | 5.69 |
[
4,
6,
8,
8
] | [
"6×4+8-8",
"(6-4)×8+8",
"(8+8)×6/4",
"(8+4)×(8-6)"
] | true | 5.93 | 0.969 | 6.38 | 2.28 |
[
4,
6,
8,
9
] | [
"(9-8)×6×4",
"9×8/4+6",
"(4-8/6)×9"
] | true | 8.02 | 0.935 | 8.51 | 3.48 |
[
4,
6,
8,
10
] | [
"(8-6)×10+4",
"(10-6)×4+8"
] | true | 16.17 | 0.762 | 13.36 | 7.95 |
[
4,
6,
8,
12
] | [
"(6+4-8)×12",
"8×6/4+12",
"(8+4)×12/6",
"(12-6)×(8-4)",
"12×4/(8-6)",
"(6-12/4)×8",
"(8-12/6)×4"
] | true | 8.29 | 0.942 | 8.94 | 3.55 |
[
4,
6,
8,
13
] | [
"(13-6-4)×8"
] | true | 12.14 | 0.804 | 11.21 | 5.26 |