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 |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 149 | 126 | 131 | 124 | 151 | 131 | 125 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.88 | 0.83 | 1.01 | 0.88 | 0.84 |
time (sec) |
N/A | 0.143 | 0.003 | 0.123 | 0.292 | 0.409 | 0.015 | 3.695 | 0.306 |
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 | 149 | 149 | 149 | 126 | 131 | 124 | 155 | 131 | 125 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.88 | 0.83 | 1.04 | 0.88 | 0.84 |
time (sec) |
N/A | 0.061 | 0.003 | 0.125 | 0.270 | 0.334 | 0.015 | 6.341 | 0.069 |
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 | 89 | 89 | 146 | 125 | 130 | 122 | 150 | 130 | 124 |
N.S. | 1 | 1.00 | 1.64 | 1.40 | 1.46 | 1.37 | 1.69 | 1.46 | 1.39 |
time (sec) |
N/A | 0.052 | 0.003 | 0.132 | 0.281 | 0.341 | 0.015 | 3.637 | 0.071 |
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 | 141 | 141 | 141 | 122 | 127 | 120 | 148 | 127 | 121 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.90 | 0.85 | 1.05 | 0.90 | 0.86 |
time (sec) |
N/A | 0.049 | 0.003 | 0.138 | 0.274 | 0.335 | 0.015 | 4.129 | 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 | 142 | 142 | 142 | 123 | 131 | 122 | 150 | 131 | 122 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.92 | 0.86 | 1.06 | 0.92 | 0.86 |
time (sec) |
N/A | 0.068 | 0.006 | 0.109 | 0.268 | 0.377 | 0.075 | 4.148 | 0.109 |
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 | 139 | 139 | 139 | 122 | 127 | 126 | 143 | 127 | 121 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.91 | 0.91 | 1.03 | 0.91 | 0.87 |
time (sec) |
N/A | 0.047 | 0.006 | 0.131 | 0.282 | 0.367 | 0.067 | 4.192 | 0.094 |
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 | 142 | 142 | 142 | 123 | 131 | 130 | 150 | 142 | 122 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.92 | 0.92 | 1.06 | 1.00 | 0.86 |
time (sec) |
N/A | 0.074 | 0.006 | 0.141 | 0.283 | 0.369 | 0.087 | 4.333 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 54 | 53 | 102 | 48 | 97 | 54 | 42 |
N.S. | 1 | 1.00 | 0.81 | 0.79 | 1.52 | 0.72 | 1.45 | 0.81 | 0.63 |
time (sec) |
N/A | 0.033 | 0.073 | 0.157 | 0.493 | 0.370 | 3.249 | 4.326 | 0.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 49 | 46 | 93 | 43 | 70 | 45 | 37 |
N.S. | 1 | 1.00 | 0.96 | 0.90 | 1.82 | 0.84 | 1.37 | 0.88 | 0.73 |
time (sec) |
N/A | 0.019 | 0.061 | 0.131 | 0.482 | 0.351 | 2.501 | 2.901 | 0.392 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 40 | 34 | 67 | 34 | 53 | 38 | 32 |
N.S. | 1 | 1.00 | 0.91 | 0.77 | 1.52 | 0.77 | 1.20 | 0.86 | 0.73 |
time (sec) |
N/A | 0.013 | 0.062 | 0.125 | 0.493 | 0.357 | 1.603 | 3.283 | 0.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 67 | 49 | 99 | 56 | 83 | 76 | 45 |
N.S. | 1 | 1.00 | 1.16 | 0.84 | 1.71 | 0.97 | 1.43 | 1.31 | 0.78 |
time (sec) |
N/A | 0.034 | 0.100 | 0.260 | 0.487 | 0.354 | 7.858 | 3.176 | 0.146 |
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 | 59 | 59 | 67 | 61 | 88 | 72 | 83 | 91 | 51 |
N.S. | 1 | 1.00 | 1.14 | 1.03 | 1.49 | 1.22 | 1.41 | 1.54 | 0.86 |
time (sec) |
N/A | 0.033 | 0.112 | 0.270 | 0.496 | 0.348 | 3.764 | 3.860 | 0.787 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 70 | 75 | 91 | 72 | 76 | 129 | 56 |
N.S. | 1 | 1.00 | 1.11 | 1.19 | 1.44 | 1.14 | 1.21 | 2.05 | 0.89 |
time (sec) |
N/A | 0.033 | 0.163 | 0.270 | 0.502 | 0.363 | 2.988 | 4.083 | 0.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 60 | 52 | 59 | 59 | 63 | 116 | 43 |
N.S. | 1 | 1.00 | 1.03 | 0.90 | 1.02 | 1.02 | 1.09 | 2.00 | 0.74 |
time (sec) |
N/A | 0.029 | 0.154 | 0.204 | 0.500 | 0.388 | 2.899 | 4.243 | 0.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 82 | 192 | 0 | 0 | 78 | 0 | -1 |
N.S. |
1 | 1.00 | 0.39 | 0.92 | 0.00 | 0.00 | 0.38 | 0.00 | -0.00 |
time (sec) |
N/A | 0.079 | 4.496 | 0.155 | 0.000 | 0.000 | 1.106 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 68 | 180 | 0 | 0 | 78 | 0 | -1 |
N.S. |
1 | 1.00 | 0.35 | 0.94 | 0.00 | 0.00 | 0.41 | 0.00 | -0.01 |
time (sec) |
N/A | 0.065 | 3.888 | 0.145 | 0.000 | 0.000 | 1.022 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 48 | 168 | 0 | 0 | 76 | 0 | -1 |
N.S. |
1 | 1.00 | 0.27 | 0.95 | 0.00 | 0.00 | 0.43 | 0.00 | -0.01 |
time (sec) |
N/A | 0.043 | 3.464 | 0.125 | 0.000 | 0.000 | 0.944 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 108 | 167 | 0 | 0 | 78 | 0 | 61 |
N.S. | 1 | 1.00 | 0.63 | 0.98 | 0.00 | 0.00 | 0.46 | 0.00 | 0.36 |
time (sec) |
N/A | 0.045 | 3.416 | 0.151 | 0.000 | 0.000 | 1.107 | 0.000 | 0.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 98 | 170 | 0 | 0 | 83 | 0 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.89 | 0.00 | 0.00 | 0.43 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 7.827 | 0.141 | 0.000 | 0.000 | 1.177 | 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 | 83 | 83 | 64 | 73 | 127 | 58 | 131 | 80 | 52 |
N.S. | 1 | 1.00 | 0.77 | 0.88 | 1.53 | 0.70 | 1.58 | 0.96 | 0.63 |
time (sec) |
N/A | 0.042 | 0.102 | 0.139 | 0.496 | 0.339 | 8.971 | 3.617 | 0.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 59 | 58 | 118 | 53 | 124 | 71 | 47 |
N.S. | 1 | 1.00 | 0.88 | 0.87 | 1.76 | 0.79 | 1.85 | 1.06 | 0.70 |
time (sec) |
N/A | 0.025 | 0.087 | 0.131 | 0.481 | 0.385 | 7.972 | 4.133 | 0.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 46 | 95 | 48 | 109 | 57 | 42 |
N.S. | 1 | 1.00 | 0.90 | 0.77 | 1.58 | 0.80 | 1.82 | 0.95 | 0.70 |
time (sec) |
N/A | 0.021 | 0.085 | 0.129 | 0.496 | 0.384 | 4.249 | 4.850 | 0.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 77 | 75 | 138 | 67 | 114 | 90 | 55 |
N.S. | 1 | 1.00 | 0.99 | 0.96 | 1.77 | 0.86 | 1.46 | 1.15 | 0.71 |
time (sec) |
N/A | 0.049 | 0.132 | 0.259 | 0.488 | 0.350 | 16.339 | 4.035 | 0.180 |
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 | 81 | 81 | 76 | 75 | 122 | 78 | 114 | 102 | 64 |
N.S. | 1 | 1.00 | 0.94 | 0.93 | 1.51 | 0.96 | 1.41 | 1.26 | 0.79 |
time (sec) |
N/A | 0.048 | 0.147 | 0.280 | 0.487 | 0.365 | 5.436 | 4.685 | 0.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 81 | 73 | 123 | 82 | 133 | 146 | 71 |
N.S. | 1 | 1.00 | 0.94 | 0.85 | 1.43 | 0.95 | 1.55 | 1.70 | 0.83 |
time (sec) |
N/A | 0.050 | 0.189 | 0.273 | 0.490 | 0.402 | 6.473 | 2.731 | 0.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 79 | 73 | 112 | 82 | 148 | 158 | 82 |
N.S. | 1 | 1.00 | 0.96 | 0.89 | 1.37 | 1.00 | 1.80 | 1.93 | 1.00 |
time (sec) |
N/A | 0.048 | 0.204 | 0.267 | 0.505 | 0.361 | 6.581 | 4.811 | 0.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 74 | 216 | 0 | 0 | 160 | 0 | -1 |
N.S. |
1 | 1.00 | 0.31 | 0.92 | 0.00 | 0.00 | 0.68 | 0.00 | -0.00 |
time (sec) |
N/A | 0.088 | 6.945 | 0.141 | 0.000 | 0.000 | 1.926 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 68 | 204 | 0 | 0 | 160 | 0 | -1 |
N.S. |
1 | 1.00 | 0.31 | 0.93 | 0.00 | 0.00 | 0.73 | 0.00 | -0.00 |
time (sec) |
N/A | 0.080 | 5.652 | 0.137 | 0.000 | 0.000 | 1.770 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 49 | 192 | 0 | 0 | 158 | 0 | -1 |
N.S. |
1 | 1.00 | 0.25 | 0.97 | 0.00 | 0.00 | 0.80 | 0.00 | -0.01 |
time (sec) |
N/A | 0.055 | 4.888 | 0.128 | 0.000 | 0.000 | 1.650 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 125 | 192 | 0 | 0 | 160 | 0 | 48 |
N.S. | 1 | 1.00 | 0.63 | 0.96 | 0.00 | 0.00 | 0.80 | 0.00 | 0.24 |
time (sec) |
N/A | 0.058 | 4.778 | 0.155 | 0.000 | 0.000 | 1.930 | 0.000 | 0.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 124 | 192 | 0 | 0 | 163 | 0 | -1 |
N.S. | 1 | 1.00 | 0.62 | 0.96 | 0.00 | 0.00 | 0.81 | 0.00 | -0.00 |
time (sec) |
N/A | 0.058 | 9.404 | 0.140 | 0.000 | 0.000 | 1.981 | 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 | 67 | 67 | 49 | 51 | 104 | 43 | 85 | 46 | 38 |
N.S. | 1 | 1.00 | 0.73 | 0.76 | 1.55 | 0.64 | 1.27 | 0.69 | 0.57 |
time (sec) |
N/A | 0.038 | 0.074 | 0.135 | 0.498 | 0.339 | 3.914 | 4.127 | 0.590 |
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 | 51 | 51 | 40 | 39 | 76 | 34 | 66 | 37 | 32 |
N.S. | 1 | 1.00 | 0.78 | 0.76 | 1.49 | 0.67 | 1.29 | 0.73 | 0.63 |
time (sec) |
N/A | 0.026 | 0.078 | 0.137 | 0.489 | 0.348 | 2.704 | 5.044 | 0.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 39 | 32 | 65 | 33 | 53 | 33 | 27 |
N.S. | 1 | 1.00 | 1.11 | 0.91 | 1.86 | 0.94 | 1.51 | 0.94 | 0.77 |
time (sec) |
N/A | 0.017 | 0.067 | 0.128 | 0.487 | 0.363 | 1.997 | 4.221 | 0.491 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 28 | 20 | 42 | 26 | 22 | 26 | 19 |
N.S. | 1 | 1.00 | 1.17 | 0.83 | 1.75 | 1.08 | 0.92 | 1.08 | 0.79 |
time (sec) |
N/A | 0.011 | 0.067 | 0.132 | 0.487 | 0.332 | 0.947 | 3.693 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 48 | 30 | 67 | 41 | 31 | 61 | 30 |
N.S. | 1 | 1.00 | 1.26 | 0.79 | 1.76 | 1.08 | 0.82 | 1.61 | 0.79 |
time (sec) |
N/A | 0.026 | 0.080 | 0.245 | 0.500 | 0.358 | 2.928 | 3.615 | 0.615 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 46 | 31 | 47 | 47 | 31 | 66 | 31 |
N.S. | 1 | 1.00 | 1.10 | 0.74 | 1.12 | 1.12 | 0.74 | 1.57 | 0.74 |
time (sec) |
N/A | 0.025 | 0.088 | 0.181 | 0.491 | 0.374 | 1.760 | 4.778 | 0.329 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 43 | 59 | 50 | 88 | 114 | 43 |
N.S. | 1 | 1.00 | 0.95 | 0.74 | 1.02 | 0.86 | 1.52 | 1.97 | 0.74 |
time (sec) |
N/A | 0.033 | 0.138 | 0.199 | 0.505 | 0.343 | 5.662 | 5.760 | 0.694 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 74 | 168 | 0 | 0 | 75 | 0 | -1 |
N.S. |
1 | 1.00 | 0.40 | 0.91 | 0.00 | 0.00 | 0.41 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 10.028 | 0.128 | 0.000 | 0.000 | 1.169 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 66 | 155 | 0 | 0 | 75 | 0 | -1 |
N.S. |
1 | 1.00 | 0.40 | 0.93 | 0.00 | 0.00 | 0.45 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 10.034 | 0.131 | 0.000 | 0.000 | 1.083 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 48 | 146 | 0 | 0 | 73 | 0 | -1 |
N.S. |
1 | 1.00 | 0.31 | 0.94 | 0.00 | 0.00 | 0.47 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 10.035 | 0.129 | 0.000 | 0.000 | 0.767 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 81 | 158 | 0 | 0 | 75 | 0 | 48 |
N.S. |
1 | 1.00 | 0.47 | 0.91 | 0.00 | 0.00 | 0.43 | 0.00 | 0.28 |
time (sec) |
N/A | 0.044 | 10.124 | 0.136 | 0.000 | 0.000 | 0.853 | 0.000 | 0.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 97 | 170 | 0 | 0 | 80 | 0 | -1 |
N.S. |
1 | 1.00 | 0.51 | 0.90 | 0.00 | 0.00 | 0.42 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 10.101 | 0.135 | 0.000 | 0.000 | 0.973 | 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 | 58 | 58 | 49 | 50 | 89 | 62 | 66 | 45 | 97 |
N.S. | 1 | 1.00 | 0.84 | 0.86 | 1.53 | 1.07 | 1.14 | 0.78 | 1.67 |
time (sec) |
N/A | 0.031 | 0.111 | 0.143 | 0.483 | 0.382 | 6.497 | 3.866 | 1.108 |
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 | 45 | 45 | 40 | 37 | 63 | 58 | 48 | 39 | 89 |
N.S. | 1 | 1.00 | 0.89 | 0.82 | 1.40 | 1.29 | 1.07 | 0.87 | 1.98 |
time (sec) |
N/A | 0.026 | 0.118 | 0.155 | 0.487 | 0.374 | 5.372 | 3.567 | 0.894 |
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 | 35 | 35 | 39 | 34 | 54 | 52 | 39 | 33 | 82 |
N.S. | 1 | 1.00 | 1.11 | 0.97 | 1.54 | 1.49 | 1.11 | 0.94 | 2.34 |
time (sec) |
N/A | 0.017 | 0.108 | 0.148 | 0.507 | 0.384 | 4.416 | 3.322 | 0.841 |
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 | 20 | 20 | 20 | 23 | 22 | 31 | 31 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 1.10 | 1.55 | 1.55 | 0.80 | 0.80 |
time (sec) |
N/A | 0.010 | 0.098 | 0.128 | 0.484 | 0.347 | 3.208 | 3.785 | 0.164 |
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 | 46 | 46 | 52 | 40 | 56 | 61 | 212 | 61 | 40 |
N.S. | 1 | 1.00 | 1.13 | 0.87 | 1.22 | 1.33 | 4.61 | 1.33 | 0.87 |
time (sec) |
N/A | 0.028 | 0.130 | 0.203 | 0.484 | 0.346 | 8.372 | 4.310 | 0.475 |
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 | 65 | 65 | 59 | 47 | 68 | 77 | 228 | 82 | 47 |
N.S. | 1 | 1.00 | 0.91 | 0.72 | 1.05 | 1.18 | 3.51 | 1.26 | 0.72 |
time (sec) |
N/A | 0.037 | 0.140 | 0.200 | 0.517 | 0.357 | 5.561 | 6.059 | 0.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 70 | 168 | 0 | 0 | 75 | 0 | -1 |
N.S. |
1 | 1.00 | 0.36 | 0.86 | 0.00 | 0.00 | 0.38 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 10.031 | 0.139 | 0.000 | 0.000 | 2.417 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 68 | 168 | 0 | 0 | 75 | 0 | -1 |
N.S. |
1 | 1.00 | 0.38 | 0.95 | 0.00 | 0.00 | 0.42 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 10.026 | 0.138 | 0.000 | 0.000 | 2.236 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 66 | 168 | 0 | 0 | 73 | 0 | -1 |
N.S. |
1 | 1.00 | 0.37 | 0.93 | 0.00 | 0.00 | 0.41 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 10.023 | 0.133 | 0.000 | 0.000 | 2.126 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 108 | 180 | 0 | 0 | 75 | 0 | 48 |
N.S. |
1 | 1.00 | 0.55 | 0.92 | 0.00 | 0.00 | 0.38 | 0.00 | 0.24 |
time (sec) |
N/A | 0.057 | 10.087 | 0.180 | 0.000 | 0.000 | 3.013 | 0.000 | 0.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-2) | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 119 | 192 | 0 | 0 | 80 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.90 | 0.00 | 0.00 | 0.37 | 0.00 | -0.00 |
time (sec) |
N/A | 0.077 | 10.101 | 0.135 | 0.000 | 0.000 | 3.447 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 189 | 2295 | 405 | 1495 | 21612 | 3752 | 1539 |
N.S. | 1 | 1.00 | 0.70 | 8.53 | 1.51 | 5.56 | 80.34 | 13.95 | 5.72 |
time (sec) |
N/A | 0.108 | 0.708 | 0.036 | 0.339 | 0.376 | 3.438 | 3.966 | 1.777 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 153 | 130 | 140 | 127 | 134 | 143 | 121 |
N.S. | 1 | 1.00 | 2.43 | 2.06 | 2.22 | 2.02 | 2.13 | 2.27 | 1.92 |
time (sec) |
N/A | 0.127 | 0.020 | 0.087 | 0.271 | 0.337 | 0.026 | 4.029 | 0.094 |
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 | 153 | 153 | 153 | 130 | 140 | 127 | 141 | 144 | 123 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.92 | 0.83 | 0.92 | 0.94 | 0.80 |
time (sec) |
N/A | 0.076 | 0.015 | 0.079 | 0.297 | 0.367 | 0.017 | 4.397 | 0.121 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 151 | 130 | 140 | 127 | 136 | 144 | 123 |
N.S. | 1 | 1.00 | 3.36 | 2.89 | 3.11 | 2.82 | 3.02 | 3.20 | 2.73 |
time (sec) |
N/A | 0.081 | 0.013 | 0.079 | 0.268 | 0.355 | 0.025 | 4.986 | 0.078 |
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 | 153 | 153 | 153 | 130 | 140 | 127 | 139 | 144 | 123 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.92 | 0.83 | 0.91 | 0.94 | 0.80 |
time (sec) |
N/A | 0.056 | 0.012 | 0.079 | 0.280 | 0.349 | 0.016 | 4.171 | 0.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 149 | 130 | 140 | 127 | 133 | 144 | 123 |
N.S. | 1 | 1.00 | 5.14 | 4.48 | 4.83 | 4.38 | 4.59 | 4.97 | 4.24 |
time (sec) |
N/A | 0.030 | 0.008 | 0.081 | 0.274 | 0.369 | 0.030 | 4.320 | 0.077 |
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 | 143 | 143 | 143 | 127 | 136 | 124 | 134 | 141 | 120 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.95 | 0.87 | 0.94 | 0.99 | 0.84 |
time (sec) |
N/A | 0.046 | 0.011 | 0.122 | 0.280 | 0.347 | 0.025 | 3.682 | 0.079 |
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 | 93 | 93 | 149 | 132 | 141 | 123 | 131 | 145 | 121 |
N.S. | 1 | 1.00 | 1.60 | 1.42 | 1.52 | 1.32 | 1.41 | 1.56 | 1.30 |
time (sec) |
N/A | 0.033 | 0.019 | 0.022 | 0.277 | 0.557 | 0.111 | 3.510 | 0.129 |
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 | 141 | 141 | 141 | 129 | 136 | 128 | 124 | 139 | 119 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.96 | 0.91 | 0.88 | 0.99 | 0.84 |
time (sec) |
N/A | 0.052 | 0.019 | 0.040 | 0.282 | 0.442 | 0.105 | 3.750 | 0.081 |
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 | 147 | 147 | 147 | 130 | 141 | 134 | 131 | 156 | 120 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.96 | 0.91 | 0.89 | 1.06 | 0.82 |
time (sec) |
N/A | 0.091 | 0.026 | 0.026 | 0.279 | 0.427 | 0.142 | 3.572 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 122 | 1121 | 192 | 759 | 11387 | 1848 | 1483 |
N.S. | 1 | 1.00 | 0.60 | 5.52 | 0.95 | 3.74 | 56.09 | 9.10 | 7.31 |
time (sec) |
N/A | 0.049 | 0.076 | 0.024 | 0.307 | 0.600 | 2.750 | 3.874 | 1.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 85 | 29 | 61 | 61 | 76 | 61 | 61 |
N.S. | 1 | 1.00 | 2.50 | 0.85 | 1.79 | 1.79 | 2.24 | 1.79 | 1.79 |
time (sec) |
N/A | 0.029 | 0.002 | 0.062 | 0.277 | 0.495 | 0.012 | 3.702 | 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 | 83 | 83 | 83 | 62 | 61 | 61 | 75 | 61 | 61 |
N.S. | 1 | 1.00 | 1.00 | 0.75 | 0.73 | 0.73 | 0.90 | 0.73 | 0.73 |
time (sec) |
N/A | 0.019 | 0.002 | 0.061 | 0.281 | 0.377 | 0.011 | 3.988 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 83 | 20 | 61 | 61 | 75 | 61 | 61 |
N.S. | 1 | 1.00 | 3.61 | 0.87 | 2.65 | 2.65 | 3.26 | 2.65 | 2.65 |
time (sec) |
N/A | 0.014 | 0.001 | 0.034 | 0.270 | 0.448 | 0.012 | 3.688 | 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 | 83 | 83 | 83 | 62 | 61 | 61 | 75 | 61 | 61 |
N.S. | 1 | 1.00 | 1.00 | 0.75 | 0.73 | 0.73 | 0.90 | 0.73 | 0.73 |
time (sec) |
N/A | 0.015 | 0.001 | 0.060 | 0.275 | 0.378 | 0.011 | 4.048 | 0.059 |
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 | 11 | 11 | 11 | 10 | 61 | 61 | 71 | 76 | 61 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 5.55 | 5.55 | 6.45 | 6.91 | 5.55 |
time (sec) |
N/A | 0.002 | 0.001 | 0.036 | 0.284 | 0.421 | 0.012 | 4.300 | 0.058 |
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 | 73 | 73 | 73 | 58 | 57 | 57 | 68 | 57 | 57 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.78 | 0.78 | 0.93 | 0.78 | 0.78 |
time (sec) |
N/A | 0.013 | 0.001 | 0.073 | 0.285 | 0.642 | 0.013 | 3.813 | 0.058 |
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 | 80 | 80 | 80 | 59 | 62 | 58 | 75 | 62 | 58 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.78 | 0.72 | 0.94 | 0.78 | 0.72 |
time (sec) |
N/A | 0.021 | 0.003 | 0.015 | 0.283 | 0.399 | 0.036 | 3.874 | 0.061 |
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 | 73 | 73 | 73 | 60 | 59 | 62 | 66 | 59 | 59 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.81 | 0.85 | 0.90 | 0.81 | 0.81 |
time (sec) |
N/A | 0.015 | 0.003 | 0.023 | 0.270 | 0.418 | 0.032 | 5.976 | 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 | 80 | 80 | 80 | 61 | 62 | 64 | 75 | 69 | 60 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.78 | 0.80 | 0.94 | 0.86 | 0.75 |
time (sec) |
N/A | 0.024 | 0.002 | 0.029 | 0.284 | 0.345 | 0.032 | 5.063 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 80 | 91 | 57 | 133 | 90 | 101 | -1 |
N.S. | 1 | 1.00 | 0.55 | 0.63 | 0.39 | 0.92 | 0.62 | 0.70 | -0.01 |
time (sec) |
N/A | 0.056 | 0.036 | 0.132 | 0.478 | 0.384 | 0.184 | 5.120 | 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 | 83 | 83 | 51 | 55 | 33 | 31 | 27 | 42 | 103 |
N.S. | 1 | 1.00 | 0.61 | 0.66 | 0.40 | 0.37 | 0.33 | 0.51 | 1.24 |
time (sec) |
N/A | 0.046 | 0.015 | 0.122 | 0.271 | 0.363 | 0.123 | 5.056 | 0.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 69 | 62 | 35 | 102 | 82 | 59 | -1 |
N.S. | 1 | 1.00 | 0.71 | 0.64 | 0.36 | 1.05 | 0.85 | 0.61 | -0.01 |
time (sec) |
N/A | 0.030 | 0.020 | 0.129 | 0.476 | 0.452 | 0.140 | 5.171 | 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 | 92 | 92 | 54 | 57 | 36 | 34 | 26 | 61 | 83 |
N.S. | 1 | 1.00 | 0.59 | 0.62 | 0.39 | 0.37 | 0.28 | 0.66 | 0.90 |
time (sec) |
N/A | 0.047 | 0.015 | 0.122 | 0.282 | 0.547 | 0.392 | 4.973 | 0.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 72 | 67 | 38 | 110 | 82 | 62 | -1 |
N.S. | 1 | 1.00 | 0.71 | 0.66 | 0.38 | 1.09 | 0.81 | 0.61 | -0.01 |
time (sec) |
N/A | 0.040 | 0.022 | 0.141 | 0.499 | 0.355 | 0.170 | 3.628 | 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 | 137 | 137 | 70 | 78 | 50 | 56 | 41 | 131 | 125 |
N.S. | 1 | 1.00 | 0.51 | 0.57 | 0.36 | 0.41 | 0.30 | 0.96 | 0.91 |
time (sec) |
N/A | 0.063 | 0.024 | 0.131 | 0.269 | 0.448 | 0.396 | 4.072 | 0.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 108 | 188 | 126 | 308 | 0 | 101 | -1 |
N.S. | 1 | 1.00 | 0.71 | 1.23 | 0.82 | 2.01 | 0.00 | 0.66 | -0.01 |
time (sec) |
N/A | 0.076 | 0.043 | 0.048 | 0.491 | 0.516 | 0.000 | 4.214 | 0.000 |
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 | 77 | 77 | 45 | 38 | 66 | 43 | 0 | 40 | 48 |
N.S. | 1 | 1.00 | 0.58 | 0.49 | 0.86 | 0.56 | 0.00 | 0.52 | 0.62 |
time (sec) |
N/A | 0.045 | 0.013 | 0.026 | 0.292 | 0.369 | 0.000 | 5.577 | 0.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 108 | 188 | 125 | 308 | 0 | 101 | -1 |
N.S. | 1 | 1.00 | 0.69 | 1.21 | 0.80 | 1.97 | 0.00 | 0.65 | -0.01 |
time (sec) |
N/A | 0.055 | 0.037 | 0.042 | 0.492 | 0.437 | 0.000 | 4.069 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 92 | 132 | 89 | 120 | 0 | 107 | -1 |
N.S. | 1 | 1.00 | 0.57 | 0.82 | 0.55 | 0.75 | 0.00 | 0.66 | -0.01 |
time (sec) |
N/A | 0.082 | 0.028 | 0.042 | 0.280 | 0.355 | 0.000 | 4.561 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 124 | 206 | 135 | 340 | 0 | 116 | -1 |
N.S. | 1 | 1.00 | 0.65 | 1.08 | 0.71 | 1.79 | 0.00 | 0.61 | -0.01 |
time (sec) |
N/A | 0.121 | 0.048 | 0.051 | 0.491 | 0.340 | 0.000 | 3.629 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 130 | 249 | 139 | 212 | 0 | 188 | -1 |
N.S. | 1 | 1.00 | 0.58 | 1.12 | 0.62 | 0.95 | 0.00 | 0.84 | -0.00 |
time (sec) |
N/A | 0.122 | 0.048 | 0.054 | 0.283 | 0.368 | 0.000 | 3.530 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 400 | 400 | 160 | 1099 | 494 | 866 | 0 | 2213 | -1 |
N.S. | 1 | 1.00 | 0.40 | 2.75 | 1.24 | 2.16 | 0.00 | 5.53 | -0.00 |
time (sec) |
N/A | 0.159 | 0.448 | 0.036 | 0.313 | 0.370 | 0.000 | 3.650 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 112 | 495 | 246 | 390 | 0 | 1013 | -1 |
N.S. | 1 | 1.00 | 0.41 | 1.79 | 0.89 | 1.41 | 0.00 | 3.67 | -0.00 |
time (sec) |
N/A | 0.100 | 0.135 | 0.017 | 0.290 | 0.376 | 0.000 | 5.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 86 | 131 | 78 | 98 | 0 | 269 | -1 |
N.S. | 1 | 1.00 | 0.56 | 0.86 | 0.51 | 0.64 | 0.00 | 1.76 | -0.01 |
time (sec) |
N/A | 0.048 | 0.060 | 0.015 | 0.287 | 0.386 | 0.000 | 2.787 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 78 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 0.078 | 0.009 | 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 | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 101 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 0.118 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 25 | 40 | 86 | 47 | 155 | 32 | 59 |
N.S. | 1 | 1.00 | 0.74 | 1.18 | 2.53 | 1.38 | 4.56 | 0.94 | 1.74 |
time (sec) |
N/A | 0.019 | 0.007 | 0.044 | 0.302 | 0.383 | 4.119 | 4.595 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 45 | 62 | 135 | 92 | 0 | 196 | 108 |
N.S. | 1 | 1.00 | 0.52 | 0.72 | 1.57 | 1.07 | 0.00 | 2.28 | 1.26 |
time (sec) |
N/A | 0.058 | 0.048 | 0.032 | 0.280 | 0.374 | 0.000 | 3.440 | 0.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 68 | 99 | 196 | 140 | 0 | 331 | 169 |
N.S. | 1 | 1.00 | 0.53 | 0.77 | 1.53 | 1.09 | 0.00 | 2.59 | 1.32 |
time (sec) |
N/A | 0.084 | 0.060 | 0.040 | 0.291 | 0.357 | 0.000 | 3.992 | 0.202 |
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 | 166 | 166 | 166 | 226 | 166 | 166 | 202 | 193 | 169 |
N.S. | 1 | 1.00 | 1.00 | 1.36 | 1.00 | 1.00 | 1.22 | 1.16 | 1.02 |
time (sec) |
N/A | 0.252 | 0.035 | 0.080 | 0.274 | 0.349 | 0.023 | 4.390 | 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 | 166 | 166 | 166 | 226 | 166 | 166 | 204 | 193 | 169 |
N.S. | 1 | 1.00 | 1.00 | 1.36 | 1.00 | 1.00 | 1.23 | 1.16 | 1.02 |
time (sec) |
N/A | 0.096 | 0.035 | 0.083 | 0.275 | 0.337 | 0.022 | 3.667 | 0.096 |
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 | 166 | 166 | 154 | 226 | 166 | 166 | 199 | 193 | 169 |
N.S. | 1 | 1.00 | 0.93 | 1.36 | 1.00 | 1.00 | 1.20 | 1.16 | 1.02 |
time (sec) |
N/A | 0.182 | 0.040 | 0.089 | 0.280 | 0.326 | 0.022 | 3.046 | 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 | 161 | 161 | 161 | 223 | 163 | 163 | 199 | 189 | 165 |
N.S. | 1 | 1.00 | 1.00 | 1.39 | 1.01 | 1.01 | 1.24 | 1.17 | 1.02 |
time (sec) |
N/A | 0.073 | 0.032 | 0.089 | 0.284 | 0.348 | 0.022 | 4.131 | 0.049 |
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 | 162 | 162 | 162 | 191 | 167 | 164 | 199 | 193 | 166 |
N.S. | 1 | 1.00 | 1.00 | 1.18 | 1.03 | 1.01 | 1.23 | 1.19 | 1.02 |
time (sec) |
N/A | 0.138 | 0.040 | 0.020 | 0.286 | 0.346 | 0.125 | 5.277 | 0.103 |
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 | 156 | 156 | 156 | 186 | 162 | 168 | 185 | 185 | 163 |
N.S. | 1 | 1.00 | 1.00 | 1.19 | 1.04 | 1.08 | 1.19 | 1.19 | 1.04 |
time (sec) |
N/A | 0.067 | 0.059 | 0.022 | 0.279 | 0.335 | 0.123 | 4.839 | 0.051 |