Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.018 | 2.978 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | A | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 0 | 0 | 0 | 169 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.304 | 0.171 | 180.000 | 0.000 | 0.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 129 | 0 | 0 | 134 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 1.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.159 | 0.235 | 0.015 | 0.000 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 120 | 0 | 0 | 128 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 0.600 | 0.007 | 0.000 | 0.412 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 123 | 0 | 0 | 131 | 0 | 116 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 1.04 | 0.00 | 0.92 | -0.01 |
time (sec) |
N/A | 0.136 | 0.069 | 0.026 | 0.000 | 0.390 | 0.000 | 4.530 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 59 | 125 | 0 | 66 | 0 | 0 | 63 |
N.S. | 1 | 1.00 | 0.84 | 1.79 | 0.00 | 0.94 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.087 | 0.060 | 0.280 | 0.000 | 0.361 | 0.000 | 0.000 | 3.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 126 | 0 | 0 | 134 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 1.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.160 | 0.206 | 0.014 | 0.000 | 0.354 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 121 | 0 | 0 | 129 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.159 | 0.216 | 0.016 | 0.000 | 0.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-2) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.020 | 1.256 | 0.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 535 | 535 | 434 | 0 | 0 | 568 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.836 | 2.082 | 0.014 | 0.000 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 397 | 397 | 331 | 0 | 0 | 410 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 1.03 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.539 | 0.591 | 0.014 | 0.000 | 0.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 221 | 0 | 0 | 262 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.285 | 0.318 | 0.008 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 123 | 0 | 0 | 131 | 0 | 116 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 1.04 | 0.00 | 0.92 | -0.01 |
time (sec) |
N/A | 0.084 | 0.042 | 0.001 | 0.000 | 0.445 | 0.000 | 3.183 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.020 | 0.980 | 0.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.019 | 3.440 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.019 | 5.023 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 18 | 17 | 17 | 24 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.00 | 1.41 | 1.00 | 1.00 |
time (sec) |
N/A | 0.035 | 0.045 | 0.017 | 0.292 | 0.450 | 0.042 | 1.994 | 3.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 19 | 21 | 20 | 20 | 32 | 20 | 20 |
N.S. | 1 | 1.00 | 0.95 | 1.05 | 1.00 | 1.00 | 1.60 | 1.00 | 1.00 |
time (sec) |
N/A | 0.120 | 0.040 | 0.149 | 0.290 | 0.383 | 0.257 | 3.184 | 3.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 44 | 0 | 0 | 23 | 0 | 0 | 49 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.47 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.141 | 0.111 | 0.081 | 0.000 | 0.104 | 0.000 | 0.000 | 3.689 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 49 | 87 | 2381 | 109 | 160 | 53 | 145 |
N.S. | 1 | 1.00 | 0.54 | 0.97 | 26.46 | 1.21 | 1.78 | 0.59 | 1.61 |
time (sec) |
N/A | 0.126 | 0.109 | 0.125 | 0.865 | 0.367 | 0.118 | 2.819 | 3.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 36 | 62 | 1223 | 55 | 68 | 42 | 64 |
N.S. | 1 | 1.00 | 0.56 | 0.97 | 19.11 | 0.86 | 1.06 | 0.66 | 1.00 |
time (sec) |
N/A | 0.113 | 0.107 | 0.111 | 0.601 | 0.386 | 0.079 | 3.302 | 3.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 23 | 37 | 501 | 23 | 22 | 23 | 23 |
N.S. | 1 | 1.00 | 0.61 | 0.97 | 13.18 | 0.61 | 0.58 | 0.61 | 0.61 |
time (sec) |
N/A | 0.065 | 0.081 | 0.021 | 0.428 | 0.379 | 0.052 | 3.618 | 0.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 12 | 11 | 11 | 10 | 11 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.92 | 0.92 | 0.83 | 0.92 | 1.08 |
time (sec) |
N/A | 0.013 | 0.047 | 0.015 | 0.289 | 0.382 | 0.035 | 3.510 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 10 | 19 | 0 | 11 | 10 | 11 | 11 |
N.S. | 1 | 1.00 | 0.91 | 1.73 | 0.00 | 1.00 | 0.91 | 1.00 | 1.00 |
time (sec) |
N/A | 0.119 | 0.099 | 0.098 | 0.000 | 0.396 | 9.075 | 3.843 | 3.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 35 | 45 | 0 | 49 | 24 | 0 | 44 |
N.S. | 1 | 1.00 | 0.92 | 1.18 | 0.00 | 1.29 | 0.63 | 0.00 | 1.16 |
time (sec) |
N/A | 0.133 | 0.116 | 0.107 | 0.000 | 0.365 | 84.573 | 0.000 | 3.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 50 | 70 | 0 | 111 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 0.69 | 0.97 | 0.00 | 1.54 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.168 | 0.135 | 0.106 | 0.000 | 0.370 | 0.000 | 0.000 | 4.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 47 | 119 | 0 | 0 | 0 | 91 | 135 |
N.S. |
1 | 1.00 | 0.33 | 0.84 | 0.00 | 0.00 | 0.00 | 0.64 | 0.95 |
time (sec) |
N/A | 0.434 | 2.516 | 0.114 | 0.000 | 0.000 | 0.000 | 3.590 | 4.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 46 | 94 | 0 | 0 | 0 | 77 | 117 |
N.S. |
1 | 1.00 | 0.41 | 0.84 | 0.00 | 0.00 | 0.00 | 0.69 | 1.04 |
time (sec) |
N/A | 0.311 | 2.011 | 0.126 | 0.000 | 0.000 | 0.000 | 2.950 | 3.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | A | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 47 | 69 | 0 | 0 | 94 | 63 | 102 |
N.S. | 1 | 1.00 | 0.57 | 0.84 | 0.00 | 0.00 | 1.15 | 0.77 | 1.24 |
time (sec) |
N/A | 0.244 | 1.913 | 0.098 | 0.000 | 0.000 | 56.657 | 2.500 | 3.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | A | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 46 | 44 | 0 | 0 | 78 | 45 | 76 |
N.S. | 1 | 1.00 | 0.88 | 0.85 | 0.00 | 0.00 | 1.50 | 0.87 | 1.46 |
time (sec) |
N/A | 0.156 | 1.777 | 0.117 | 0.000 | 0.000 | 2.690 | 2.828 | 3.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | F | B | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 46 | 18 | 0 | 0 | 49 | 20 | 49 |
N.S. | 1 | 1.00 | 2.19 | 0.86 | 0.00 | 0.00 | 2.33 | 0.95 | 2.33 |
time (sec) |
N/A | 0.179 | 1.837 | 0.095 | 0.000 | 0.000 | 2.056 | 2.457 | 3.896 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 62 | 45 | 0 | 0 | 80 | 0 | 79 |
N.S. | 1 | 1.00 | 1.22 | 0.88 | 0.00 | 0.00 | 1.57 | 0.00 | 1.55 |
time (sec) |
N/A | 0.212 | 1.947 | 0.105 | 0.000 | 0.000 | 3.209 | 0.000 | 4.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 77 | 70 | 0 | 0 | 105 | 0 | 104 |
N.S. | 1 | 1.00 | 0.91 | 0.82 | 0.00 | 0.00 | 1.24 | 0.00 | 1.22 |
time (sec) |
N/A | 0.237 | 3.244 | 0.098 | 0.000 | 0.000 | 21.019 | 0.000 | 4.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 91 | 95 | 0 | 0 | 0 | 0 | 129 |
N.S. |
1 | 1.00 | 0.79 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.244 | 4.915 | 0.103 | 0.000 | 0.000 | 0.000 | 0.000 | 4.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 103 | 120 | 0 | 0 | 0 | 0 | 154 |
N.S. |
1 | 1.00 | 0.71 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.262 | 5.952 | 0.111 | 0.000 | 0.000 | 0.000 | 0.000 | 5.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | A | B | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 42 | 37 | 14 | 18 | 7 | 9 | -1 |
N.S. | 1 | 1.00 | 5.25 | 4.62 | 1.75 | 2.25 | 0.88 | 1.12 | -0.12 |
time (sec) |
N/A | 0.018 | 0.028 | 0.053 | 0.475 | 0.410 | 0.477 | 2.999 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 8 | 7 | 7 | 15 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.58 | 0.58 | 1.25 | 0.58 | 0.58 |
time (sec) |
N/A | 0.012 | 0.014 | 0.020 | 0.482 | 0.413 | 0.034 | 3.597 | 3.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 4 | 15 | 15 | 15 | 16 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 3.75 | 3.75 | 3.75 | 4.00 | 3.75 |
time (sec) |
N/A | 0.013 | 0.002 | 0.015 | 0.288 | 0.429 | 0.034 | 3.665 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 14 | 26 | 32 | 15 | 30 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.70 | 1.30 | 1.60 | 0.75 | 1.50 | 0.65 |
time (sec) |
N/A | 0.014 | 0.034 | 0.020 | 0.480 | 0.389 | 0.038 | 4.031 | 0.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 49 | 26 | 25 | 34 | 51 | 25 | 24 |
N.S. | 1 | 1.00 | 1.36 | 0.72 | 0.69 | 0.94 | 1.42 | 0.69 | 0.67 |
time (sec) |
N/A | 0.020 | 0.043 | 0.023 | 0.489 | 0.447 | 0.687 | 5.110 | 0.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 14 | 17 | 11 | 11 | 10 | 11 | 11 |
N.S. | 1 | 1.00 | 0.64 | 0.77 | 0.50 | 0.50 | 0.45 | 0.50 | 0.50 |
time (sec) |
N/A | 0.014 | 0.016 | 0.016 | 0.277 | 0.408 | 0.021 | 3.769 | 0.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 45 | 21 | 20 | 35 | 29 | 20 | 20 |
N.S. | 1 | 1.00 | 1.55 | 0.72 | 0.69 | 1.21 | 1.00 | 0.69 | 0.69 |
time (sec) |
N/A | 0.018 | 0.057 | 0.022 | 0.482 | 0.385 | 0.608 | 3.777 | 3.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 26 | 11 | 12 | 21 | 0 | 21 | 15 |
N.S. | 1 | 1.00 | 1.86 | 0.79 | 0.86 | 1.50 | 0.00 | 1.50 | 1.07 |
time (sec) |
N/A | 0.025 | 0.062 | 0.019 | 0.494 | 0.457 | 0.000 | 4.242 | 3.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 16 | 15 | 15 | 15 | 16 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.25 | 1.25 | 1.25 | 1.33 | 1.25 |
time (sec) |
N/A | 0.013 | 0.023 | 0.018 | 0.286 | 0.402 | 0.034 | 4.700 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 11 | 10 | 10 | 8 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.77 | 0.77 | 0.62 | 0.77 | 0.77 |
time (sec) |
N/A | 0.007 | 0.011 | 0.012 | 0.280 | 0.409 | 0.022 | 3.713 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 18 | 17 | 23 | 14 | 17 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.06 | 1.44 | 0.88 | 1.06 | 1.00 |
time (sec) |
N/A | 0.003 | 0.007 | 0.018 | 0.280 | 0.348 | 0.019 | 0.425 | 3.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 21 | 18 | 13 | 13 | 14 | 13 | 13 |
N.S. | 1 | 1.00 | 1.17 | 1.00 | 0.72 | 0.72 | 0.78 | 0.72 | 0.72 |
time (sec) |
N/A | 0.018 | 0.025 | 0.014 | 0.345 | 0.427 | 0.021 | 5.561 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 18 | 4 | 3 | 20 | 3 | 3 | 3 |
N.S. | 1 | 1.00 | 4.50 | 1.00 | 0.75 | 5.00 | 0.75 | 0.75 | 0.75 |
time (sec) |
N/A | 0.014 | 0.030 | 0.018 | 0.509 | 0.364 | 0.347 | 4.533 | 3.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 8 | 7 | 7 | 17 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.70 | 0.70 | 1.70 | 0.70 | 0.70 |
time (sec) |
N/A | 0.014 | 0.015 | 0.019 | 0.509 | 0.357 | 0.037 | 2.790 | 3.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 24 | 20 | 17 | 21 | 17 | 18 | 17 |
N.S. | 1 | 1.00 | 0.89 | 0.74 | 0.63 | 0.78 | 0.63 | 0.67 | 0.63 |
time (sec) |
N/A | 0.014 | 0.022 | 0.029 | 0.278 | 0.403 | 0.031 | 3.154 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 10 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.025 | 0.014 | 0.013 | 0.275 | 0.377 | 0.024 | 4.565 | 3.328 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 6 | 15 | 15 | 15 | 16 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 2.50 | 2.50 | 2.50 | 2.67 | 2.50 |
time (sec) |
N/A | 0.012 | 0.022 | 0.017 | 0.285 | 0.358 | 0.034 | 3.231 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 4 | 3 | 3 | 15 | 3 | 3 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.75 | 0.75 | 3.75 | 0.75 | 0.75 |
time (sec) |
N/A | 0.013 | 0.002 | 0.011 | 0.508 | 0.377 | 0.034 | 5.781 | 0.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 14 | 17 | 17 | 10 | 11 | 8 | 12 | 11 |
N.S. | 1 | 1.17 | 1.42 | 1.42 | 0.83 | 0.92 | 0.67 | 1.00 | 0.92 |
time (sec) |
N/A | 0.027 | 0.028 | 0.020 | 0.278 | 0.379 | 0.027 | 5.221 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 12 | 15 | 14 | 8 | 11 | 8 | 11 | 11 |
N.S. | 1 | 1.20 | 1.50 | 1.40 | 0.80 | 1.10 | 0.80 | 1.10 | 1.10 |
time (sec) |
N/A | 0.025 | 0.024 | 0.017 | 0.294 | 0.365 | 0.026 | 4.081 | 3.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 39 | 30 | 14 | 13 | 12 | 14 | 22 |
N.S. | 1 | 1.00 | 2.17 | 1.67 | 0.78 | 0.72 | 0.67 | 0.78 | 1.22 |
time (sec) |
N/A | 0.029 | 0.040 | 0.020 | 0.298 | 0.379 | 0.029 | 4.925 | 3.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 16 | 4 | 3 | 16 | 3 | 16 | 3 |
N.S. | 1 | 1.00 | 4.00 | 1.00 | 0.75 | 4.00 | 0.75 | 4.00 | 0.75 |
time (sec) |
N/A | 0.013 | 0.024 | 0.017 | 0.524 | 0.372 | 0.312 | 4.916 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 9 | 8 | 8 | 8 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.73 | 0.73 | 0.73 | 0.73 | 0.73 |
time (sec) |
N/A | 0.015 | 0.004 | 0.065 | 0.296 | 0.381 | 0.066 | 4.245 | 3.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 14 | 13 | 13 | 0 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.72 | 0.72 | 0.00 | 0.72 | 0.72 |
time (sec) |
N/A | 0.040 | 0.028 | 0.040 | 0.504 | 0.372 | 0.000 | 4.967 | 3.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 39 | 21 | 20 | 29 | 0 | 29 | 20 |
N.S. | 1 | 1.00 | 1.26 | 0.68 | 0.65 | 0.94 | 0.00 | 0.94 | 0.65 |
time (sec) |
N/A | 0.016 | 0.035 | 0.020 | 0.508 | 0.365 | 0.000 | 4.826 | 3.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 36 | 19 | 18 | 29 | 0 | 29 | 18 |
N.S. | 1 | 1.00 | 1.33 | 0.70 | 0.67 | 1.07 | 0.00 | 1.07 | 0.67 |
time (sec) |
N/A | 0.015 | 0.036 | 0.019 | 0.510 | 0.379 | 0.000 | 2.839 | 3.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 8 | 7 | 7 | 17 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.70 | 0.70 | 1.70 | 0.70 | 0.70 |
time (sec) |
N/A | 0.086 | 0.024 | 0.022 | 0.574 | 0.359 | 0.044 | 2.621 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 13 | 17 | 11 | 11 | 24 | 11 | 16 |
N.S. | 1 | 1.00 | 0.46 | 0.61 | 0.39 | 0.39 | 0.86 | 0.39 | 0.57 |
time (sec) |
N/A | 0.027 | 0.002 | 0.012 | 0.282 | 0.370 | 0.476 | 3.718 | 3.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 16 | 16 | 10 | 16 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 1.00 | 1.00 | 0.62 | 1.00 | 0.75 |
time (sec) |
N/A | 0.016 | 0.026 | 0.017 | 0.279 | 0.352 | 0.315 | 4.819 | 3.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 16 | 15 | 15 | 15 | 16 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.25 | 1.25 | 1.25 | 1.33 | 1.25 |
time (sec) |
N/A | 0.013 | 0.025 | 0.019 | 0.284 | 0.374 | 0.034 | 2.636 | 3.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 8 | 7 | 7 | 17 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.70 | 0.70 | 1.70 | 0.70 | 0.70 |
time (sec) |
N/A | 0.013 | 0.156 | 0.020 | 0.518 | 0.346 | 0.037 | 6.455 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 22 | 0 | 9 | 18 | 8 | 18 | -1 |
N.S. | 1 | 1.00 | 1.57 | 0.00 | 0.64 | 1.29 | 0.57 | 1.29 | -0.07 |
time (sec) |
N/A | 0.015 | 0.029 | 0.013 | 0.722 | 0.362 | 0.433 | 5.101 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 28 | 44 | 29 | 29 | 32 | 25 | 25 |
N.S. | 1 | 1.00 | 0.80 | 1.26 | 0.83 | 0.83 | 0.91 | 0.71 | 0.71 |
time (sec) |
N/A | 0.130 | 0.044 | 0.053 | 0.337 | 0.391 | 0.336 | 4.625 | 3.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.73 | 0.73 | 0.64 | 0.73 | 0.73 |
time (sec) |
N/A | 0.006 | 0.013 | 0.013 | 0.354 | 0.356 | 0.021 | 3.661 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.73 | 0.73 | 0.64 | 0.73 | 0.73 |
time (sec) |
N/A | 0.010 | 0.011 | 0.013 | 0.374 | 0.403 | 0.023 | 2.294 | 3.513 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 7 | 6 | 6 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.67 | 0.67 | 0.78 | 0.67 | 0.67 |
time (sec) |
N/A | 0.007 | 0.003 | 0.011 | 0.312 | 0.356 | 0.062 | 4.756 | 3.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 7 | 6 | 6 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.67 | 0.67 | 0.78 | 0.67 | 0.67 |
time (sec) |
N/A | 0.007 | 0.003 | 0.010 | 0.273 | 0.371 | 0.109 | 6.517 | 3.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 34 | 51 | 59 | 31 | 31 | 31 | 31 |
N.S. | 1 | 1.00 | 0.50 | 0.75 | 0.87 | 0.46 | 0.46 | 0.46 | 0.46 |
time (sec) |
N/A | 0.069 | 0.064 | 0.024 | 0.287 | 0.360 | 0.030 | 3.446 | 3.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 22 | 19 | 19 | 20 | 19 | 21 |
N.S. | 1 | 1.00 | 0.93 | 0.79 | 0.68 | 0.68 | 0.71 | 0.68 | 0.75 |
time (sec) |
N/A | 0.016 | 0.026 | 0.015 | 0.287 | 0.477 | 0.027 | 3.585 | 3.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 23 | 20 | 19 | 18 | 22 | 18 | 18 |
N.S. | 1 | 1.00 | 0.88 | 0.77 | 0.73 | 0.69 | 0.85 | 0.69 | 0.69 |
time (sec) |
N/A | 0.014 | 0.017 | 0.021 | 0.282 | 0.377 | 0.028 | 3.791 | 0.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 9 | 8 | 8 | 7 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.89 | 0.89 | 0.78 | 0.89 | 0.89 |
time (sec) |
N/A | 0.016 | 0.002 | 0.014 | 0.288 | 0.357 | 0.017 | 3.243 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 22 | 17 | 21 | 20 | 17 | 17 |
N.S. | 1 | 1.00 | 0.74 | 0.81 | 0.63 | 0.78 | 0.74 | 0.63 | 0.63 |
time (sec) |
N/A | 0.007 | 0.023 | 0.031 | 0.285 | 0.351 | 0.159 | 3.913 | 0.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 15 | 15 | 14 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.82 | 0.88 | 0.88 |
time (sec) |
N/A | 0.021 | 0.026 | 0.025 | 0.313 | 0.363 | 0.041 | 4.634 | 3.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 8 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 0.83 | 0.83 |
time (sec) |
N/A | 0.014 | 0.013 | 0.015 | 0.294 | 0.347 | 0.023 | 5.719 | 3.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 19 | 19 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.70 | 0.70 |
time (sec) |
N/A | 0.007 | 0.023 | 0.030 | 0.288 | 0.363 | 0.084 | 3.558 | 0.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 5 | 4 | 16 | 0 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.80 | 3.20 | 0.00 | 1.20 | 1.20 |
time (sec) |
N/A | 0.008 | 0.006 | 0.017 | 0.286 | 0.383 | 0.000 | 4.142 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 22 | 16 | 24 | 17 | 19 | 19 |
N.S. | 1 | 1.00 | 1.14 | 1.05 | 0.76 | 1.14 | 0.81 | 0.90 | 0.90 |
time (sec) |
N/A | 0.018 | 0.021 | 0.015 | 0.288 | 0.353 | 0.030 | 5.650 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 24 | 19 | 19 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.89 | 0.70 | 0.70 |
time (sec) |
N/A | 0.007 | 0.034 | 0.037 | 0.286 | 0.364 | 0.081 | 4.317 | 3.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 28 | 39 | 52 | 0 | 41 | 78 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 1.15 | 1.53 | 0.00 | 1.21 | 2.29 |
time (sec) |
N/A | 0.022 | 0.013 | 0.144 | 0.292 | 0.359 | 0.000 | 3.559 | 5.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 20 | 23 | 16 | 18 | 14 | 16 | 10 |
N.S. | 1 | 1.00 | 0.77 | 0.88 | 0.62 | 0.69 | 0.54 | 0.62 | 0.38 |
time (sec) |
N/A | 0.012 | 0.028 | 0.016 | 0.318 | 0.439 | 0.027 | 2.751 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 10 | 14 | 13 | 13 | 12 | 13 | 13 |
N.S. | 1 | 1.00 | 0.67 | 0.93 | 0.87 | 0.87 | 0.80 | 0.87 | 0.87 |
time (sec) |
N/A | 0.020 | 0.023 | 0.022 | 0.289 | 0.439 | 0.039 | 2.274 | 3.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 18 | 17 | 14 | 22 | 17 | 14 |
N.S. | 1 | 1.00 | 0.81 | 0.67 | 0.63 | 0.52 | 0.81 | 0.63 | 0.52 |
time (sec) |
N/A | 0.018 | 0.022 | 0.016 | 0.286 | 0.389 | 0.985 | 3.768 | 0.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 18 | 17 | 14 | 22 | 17 | 14 |
N.S. | 1 | 1.00 | 0.81 | 0.67 | 0.63 | 0.52 | 0.81 | 0.63 | 0.52 |
time (sec) |
N/A | 0.017 | 0.021 | 0.016 | 0.315 | 0.414 | 1.143 | 4.714 | 3.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 56 | 50 | 48 | 62 | 0 | 49 | 49 |
N.S. | 1 | 1.00 | 0.90 | 0.81 | 0.77 | 1.00 | 0.00 | 0.79 | 0.79 |
time (sec) |
N/A | 0.036 | 0.133 | 0.026 | 0.497 | 0.442 | 0.000 | 5.701 | 4.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 12 | 17 | 19 | 11 | 10 | 11 | 11 |
N.S. | 1 | 1.00 | 0.63 | 0.89 | 1.00 | 0.58 | 0.53 | 0.58 | 0.58 |
time (sec) |
N/A | 0.030 | 0.015 | 0.013 | 0.287 | 0.395 | 0.023 | 4.681 | 3.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 19 | 24 | 28 | 16 | 15 | 16 | 16 |
N.S. | 1 | 1.00 | 0.59 | 0.75 | 0.88 | 0.50 | 0.47 | 0.50 | 0.50 |
time (sec) |
N/A | 0.033 | 0.016 | 0.018 | 0.281 | 0.374 | 0.025 | 4.650 | 3.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 0 | 11 | 11 | 10 | 10 | 8 | 10 | 10 |
N.S. | 1 | 0.00 | 1.00 | 1.00 | 0.91 | 0.91 | 0.73 | 0.91 | 0.91 |
time (sec) |
N/A | 0.098 | 0.025 | 0.017 | 0.357 | 0.367 | 0.151 | 5.525 | 3.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 7 | 6 | 6 | 5 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.67 | 0.67 | 0.56 | 0.67 | 0.67 |
time (sec) |
N/A | 0.017 | 0.005 | 0.017 | 0.282 | 0.369 | 0.033 | 2.189 | 0.038 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 0 | 9 | 18 | 9 | 18 | 12 | 16 | 9 |
N.S. | 1 | 0.00 | 1.00 | 2.00 | 1.00 | 2.00 | 1.33 | 1.78 | 1.00 |
time (sec) |
N/A | 0.051 | 0.011 | 0.013 | 0.330 | 0.355 | 0.064 | 2.703 | 3.584 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 26 | 24 | 21 | 21 | 22 | 21 | 21 |
N.S. | 1 | 1.00 | 1.04 | 0.96 | 0.84 | 0.84 | 0.88 | 0.84 | 0.84 |
time (sec) |
N/A | 0.010 | 0.015 | 0.012 | 0.273 | 0.339 | 0.036 | 4.919 | 3.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 36 | 33 | 33 | 37 | 33 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.82 | 0.82 | 0.92 | 0.82 | 0.82 |
time (sec) |
N/A | 0.013 | 0.019 | 0.015 | 0.296 | 0.354 | 0.048 | 5.830 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 48 | 45 | 45 | 51 | 45 | 45 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.85 | 0.85 | 0.96 | 0.85 | 0.85 |
time (sec) |
N/A | 0.017 | 0.021 | 0.018 | 0.287 | 0.346 | 0.058 | 6.312 | 3.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 26 | 45 | 83 | 0 | 29 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 1.41 | 2.59 | 0.00 | 0.91 | 0.78 |
time (sec) |
N/A | 0.020 | 0.035 | 0.026 | 0.508 | 0.376 | 0.000 | 5.733 | 3.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 28 | 27 | 85 | 0 | 27 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.79 | 2.50 | 0.00 | 0.79 | 0.91 |
time (sec) |
N/A | 0.019 | 0.035 | 0.024 | 0.494 | 0.350 | 0.000 | 7.234 | 3.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 50 | 42 | 63 | 110 | 0 | 44 | 43 |
N.S. | 1 | 1.00 | 0.94 | 0.79 | 1.19 | 2.08 | 0.00 | 0.83 | 0.81 |
time (sec) |
N/A | 0.023 | 0.040 | 0.027 | 0.514 | 0.377 | 0.000 | 3.718 | 3.515 |