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 | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 98 | 117 | 109 | 124 | 184 | 0 | 109 |
N.S. | 1 | 1.00 | 0.84 | 1.00 | 0.93 | 1.06 | 1.57 | 0.00 | 0.93 |
time (sec) |
N/A | 0.074 | 0.050 | 0.122 | 0.482 | 4.120 | 1.716 | 0.000 | 0.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 88 | 107 | 99 | 113 | 167 | 0 | 99 |
N.S. | 1 | 1.00 | 0.84 | 1.02 | 0.94 | 1.08 | 1.59 | 0.00 | 0.94 |
time (sec) |
N/A | 0.066 | 0.038 | 0.084 | 0.462 | 2.014 | 1.521 | 0.000 | 0.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 76 | 96 | 88 | 104 | 158 | 0 | 87 |
N.S. | 1 | 1.00 | 0.84 | 1.05 | 0.97 | 1.14 | 1.74 | 0.00 | 0.96 |
time (sec) |
N/A | 0.055 | 0.035 | 0.103 | 0.470 | 1.588 | 1.415 | 0.000 | 0.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 84 | 79 | 73 | 89 | 128 | 0 | 73 |
N.S. | 1 | 1.00 | 1.58 | 1.49 | 1.38 | 1.68 | 2.42 | 0.00 | 1.38 |
time (sec) |
N/A | 0.022 | 0.007 | 0.076 | 0.473 | 3.320 | 1.249 | 0.000 | 0.324 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 76 | 113 | 0 | 0 | 0 | 0 | 63 |
N.S. | 1 | 1.00 | 1.00 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.059 | 0.006 | 0.059 | 0.000 | 0.000 | 0.000 | 0.000 | 0.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 78 | 127 | 0 | 0 | 0 | 0 | 93 |
N.S. | 1 | 1.00 | 1.01 | 1.65 | 0.00 | 0.00 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.072 | 0.033 | 0.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 76 | 98 | 75 | 99 | 182 | 0 | 79 |
N.S. | 1 | 1.00 | 1.17 | 1.51 | 1.15 | 1.52 | 2.80 | 0.00 | 1.22 |
time (sec) |
N/A | 0.040 | 0.037 | 0.128 | 0.469 | 2.483 | 1.827 | 0.000 | 0.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 89 | 108 | 87 | 109 | 197 | 0 | 176 |
N.S. | 1 | 1.00 | 0.84 | 1.02 | 0.82 | 1.03 | 1.86 | 0.00 | 1.66 |
time (sec) |
N/A | 0.068 | 0.033 | 0.107 | 0.475 | 3.204 | 2.544 | 0.000 | 0.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 100 | 119 | 102 | 119 | 214 | 0 | 116 |
N.S. | 1 | 1.00 | 0.81 | 0.96 | 0.82 | 0.96 | 1.73 | 0.00 | 0.94 |
time (sec) |
N/A | 0.068 | 0.049 | 0.138 | 0.484 | 2.191 | 4.019 | 0.000 | 0.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 124 | 171 | 185 | 172 | 270 | 0 | 152 |
N.S. | 1 | 1.00 | 0.75 | 1.03 | 1.11 | 1.04 | 1.63 | 0.00 | 0.92 |
time (sec) |
N/A | 0.118 | 0.075 | 0.151 | 0.469 | 2.539 | 2.230 | 0.000 | 0.756 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 116 | 159 | 174 | 160 | 250 | 0 | 140 |
N.S. | 1 | 1.00 | 0.76 | 1.05 | 1.14 | 1.05 | 1.64 | 0.00 | 0.92 |
time (sec) |
N/A | 0.104 | 0.065 | 0.129 | 0.472 | 1.836 | 1.988 | 0.000 | 0.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 101 | 146 | 155 | 148 | 240 | 0 | 125 |
N.S. | 1 | 1.00 | 0.74 | 1.07 | 1.14 | 1.09 | 1.76 | 0.00 | 0.92 |
time (sec) |
N/A | 0.092 | 0.054 | 0.143 | 0.473 | 2.674 | 1.861 | 0.000 | 0.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 57 | 114 | 138 | 127 | 206 | 0 | 109 |
N.S. | 1 | 1.00 | 0.69 | 1.37 | 1.66 | 1.53 | 2.48 | 0.00 | 1.31 |
time (sec) |
N/A | 0.033 | 0.027 | 0.077 | 0.488 | 2.401 | 1.540 | 0.000 | 0.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 103 | 177 | 142 | 0 | 0 | 0 | 131 |
N.S. | 1 | 1.00 | 0.80 | 1.37 | 1.10 | 0.00 | 0.00 | 0.00 | 1.02 |
time (sec) |
N/A | 0.089 | 0.047 | 0.070 | 0.595 | 0.000 | 0.000 | 0.000 | 0.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 79 | 149 | 0 | 0 | 0 | 0 | 141 |
N.S. | 1 | 1.00 | 0.89 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.101 | 0.048 | 0.069 | 0.000 | 0.000 | 0.000 | 0.000 | 0.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 137 | 206 | 0 | 0 | 0 | 0 | 161 |
N.S. | 1 | 1.00 | 0.90 | 1.36 | 0.00 | 0.00 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.117 | 0.046 | 0.091 | 0.000 | 0.000 | 0.000 | 0.000 | 0.745 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 109 | 146 | 144 | 144 | 253 | 0 | 120 |
N.S. | 1 | 1.00 | 1.25 | 1.68 | 1.66 | 1.66 | 2.91 | 0.00 | 1.38 |
time (sec) |
N/A | 0.057 | 0.040 | 0.122 | 0.463 | 3.278 | 5.182 | 0.000 | 0.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 119 | 161 | 152 | 155 | 275 | 0 | 142 |
N.S. | 1 | 1.00 | 0.74 | 1.00 | 0.94 | 0.96 | 1.71 | 0.00 | 0.88 |
time (sec) |
N/A | 0.109 | 0.110 | 0.164 | 0.473 | 2.916 | 9.205 | 0.000 | 0.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 129 | 173 | 183 | 167 | 287 | 0 | 244 |
N.S. | 1 | 1.00 | 0.75 | 1.01 | 1.07 | 0.98 | 1.68 | 0.00 | 1.43 |
time (sec) |
N/A | 0.115 | 0.048 | 0.131 | 0.466 | 1.440 | 15.021 | 0.000 | 0.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 154 | 210 | 261 | 202 | 328 | 0 | 186 |
N.S. | 1 | 1.00 | 0.75 | 1.02 | 1.27 | 0.99 | 1.60 | 0.00 | 0.91 |
time (sec) |
N/A | 0.133 | 0.071 | 0.167 | 0.479 | 1.594 | 2.796 | 0.000 | 0.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 146 | 198 | 242 | 190 | 316 | 0 | 174 |
N.S. | 1 | 1.00 | 0.76 | 1.04 | 1.27 | 0.99 | 1.65 | 0.00 | 0.91 |
time (sec) |
N/A | 0.121 | 0.061 | 0.133 | 0.476 | 2.087 | 2.464 | 0.000 | 0.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 132 | 185 | 222 | 177 | 296 | 0 | 160 |
N.S. | 1 | 1.00 | 0.84 | 1.18 | 1.41 | 1.13 | 1.89 | 0.00 | 1.02 |
time (sec) |
N/A | 0.070 | 0.058 | 0.128 | 0.469 | 1.270 | 2.401 | 0.000 | 0.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 77 | 144 | 197 | 161 | 267 | 0 | 147 |
N.S. | 1 | 1.00 | 0.77 | 1.44 | 1.97 | 1.61 | 2.67 | 0.00 | 1.47 |
time (sec) |
N/A | 0.037 | 0.028 | 0.084 | 0.472 | 1.458 | 2.118 | 0.000 | 0.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 139 | 220 | 184 | 0 | 0 | 0 | 196 |
N.S. | 1 | 1.00 | 0.82 | 1.29 | 1.08 | 0.00 | 0.00 | 0.00 | 1.15 |
time (sec) |
N/A | 0.126 | 0.066 | 0.091 | 0.605 | 0.000 | 0.000 | 0.000 | 0.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 150 | 216 | 201 | 0 | 0 | 0 | 195 |
N.S. | 1 | 1.00 | 0.93 | 1.33 | 1.24 | 0.00 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.120 | 0.065 | 0.084 | 0.602 | 0.000 | 0.000 | 0.000 | 0.721 |
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 | 180 | 180 | 164 | 228 | 0 | 0 | 0 | 0 | 205 |
N.S. |
1 | 1.00 | 0.91 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.127 | 0.064 | 0.092 | 0.000 | 0.000 | 0.000 | 0.000 | 0.726 |
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 | 189 | 189 | 171 | 244 | 0 | 0 | 0 | 0 | 221 |
N.S. |
1 | 1.00 | 0.90 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.147 | 0.057 | 0.090 | 0.000 | 0.000 | 0.000 | 0.000 | 0.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 141 | 187 | 202 | 174 | 311 | 0 | 154 |
N.S. | 1 | 1.00 | 1.37 | 1.82 | 1.96 | 1.69 | 3.02 | 0.00 | 1.50 |
time (sec) |
N/A | 0.066 | 0.142 | 0.163 | 0.474 | 1.447 | 15.910 | 0.000 | 0.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 149 | 197 | 224 | 185 | 326 | 0 | 174 |
N.S. | 1 | 1.00 | 0.99 | 1.31 | 1.49 | 1.23 | 2.17 | 0.00 | 1.16 |
time (sec) |
N/A | 0.077 | 0.054 | 0.138 | 0.467 | 2.332 | 28.597 | 0.000 | 0.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 161 | 212 | 248 | 198 | 347 | 0 | 192 |
N.S. | 1 | 1.00 | 0.75 | 0.99 | 1.16 | 0.93 | 1.62 | 0.00 | 0.90 |
time (sec) |
N/A | 0.130 | 0.608 | 0.175 | 0.480 | 1.580 | 49.481 | 0.000 | 1.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 178 | 246 | 337 | 230 | 389 | 0 | 217 |
N.S. | 1 | 1.00 | 0.75 | 1.03 | 1.42 | 0.97 | 1.63 | 0.00 | 0.91 |
time (sec) |
N/A | 0.155 | 0.076 | 0.172 | 0.470 | 1.701 | 3.476 | 0.000 | 2.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 170 | 234 | 318 | 218 | 367 | 0 | 205 |
N.S. | 1 | 1.00 | 0.88 | 1.21 | 1.65 | 1.13 | 1.90 | 0.00 | 1.06 |
time (sec) |
N/A | 0.126 | 0.074 | 0.111 | 0.470 | 1.623 | 3.111 | 0.000 | 0.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 158 | 221 | 290 | 206 | 360 | 0 | 191 |
N.S. | 1 | 1.00 | 0.89 | 1.24 | 1.63 | 1.16 | 2.02 | 0.00 | 1.07 |
time (sec) |
N/A | 0.083 | 0.071 | 0.134 | 0.475 | 1.841 | 2.812 | 0.000 | 0.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 77 | 172 | 264 | 188 | 316 | 0 | 175 |
N.S. | 1 | 1.00 | 0.62 | 1.38 | 2.11 | 1.50 | 2.53 | 0.00 | 1.40 |
time (sec) |
N/A | 0.043 | 0.022 | 0.091 | 0.476 | 1.638 | 2.300 | 0.000 | 0.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 174 | 260 | 220 | 0 | 0 | 0 | 248 |
N.S. |
1 | 1.00 | 0.86 | 1.28 | 1.08 | 0.00 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.149 | 0.072 | 0.092 | 0.600 | 0.000 | 0.000 | 0.000 | 0.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 181 | 257 | 240 | 0 | 0 | 0 | 253 |
N.S. |
1 | 1.00 | 0.95 | 1.35 | 1.26 | 0.00 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.160 | 0.079 | 0.105 | 0.620 | 0.000 | 0.000 | 0.000 | 0.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 163 | 237 | 251 | 0 | 0 | 0 | 258 |
N.S. |
1 | 1.00 | 0.94 | 1.37 | 1.45 | 0.00 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.148 | 0.073 | 0.097 | 0.630 | 0.000 | 0.000 | 0.000 | 0.892 |
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 | 201 | 201 | 193 | 262 | 0 | 0 | 0 | 0 | 261 |
N.S. |
1 | 1.00 | 0.96 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 | 1.30 |
time (sec) |
N/A | 0.159 | 0.070 | 0.090 | 0.000 | 0.000 | 0.000 | 0.000 | 0.833 |
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 | 227 | 227 | 210 | 287 | 0 | 0 | 0 | 0 | 298 |
N.S. |
1 | 1.00 | 0.93 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.171 | 0.064 | 0.106 | 0.000 | 0.000 | 0.000 | 0.000 | 0.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 167 | 223 | 275 | 202 | 366 | 0 | 186 |
N.S. | 1 | 1.00 | 1.43 | 1.91 | 2.35 | 1.73 | 3.13 | 0.00 | 1.59 |
time (sec) |
N/A | 0.071 | 0.061 | 0.145 | 0.474 | 0.948 | 49.269 | 0.000 | 0.734 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 178 | 236 | 290 | 216 | 388 | 0 | 208 |
N.S. | 1 | 1.00 | 1.06 | 1.40 | 1.73 | 1.29 | 2.31 | 0.00 | 1.24 |
time (sec) |
N/A | 0.081 | 0.985 | 0.197 | 0.489 | 1.385 | 91.683 | 0.000 | 0.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 187 | 248 | 329 | 228 | 398 | 0 | 317 |
N.S. | 1 | 1.00 | 0.77 | 1.02 | 1.35 | 0.94 | 1.64 | 0.00 | 1.30 |
time (sec) |
N/A | 0.140 | 0.081 | 0.158 | 0.467 | 1.487 | 154.497 | 0.000 | 1.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 166 | 312 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.215 | 0.302 | 0.164 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 132 | 267 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.71 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.134 | 0.121 | 0.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 108 | 214 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 1.95 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 0.115 | 0.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 60 | 125 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 2.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.038 | 0.012 | 0.065 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 83 | 193 | 0 | 43 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.54 | 3.57 | 0.00 | 0.80 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.051 | 0.093 | 0.093 | 0.000 | 1.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 126 | 246 | 0 | 98 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.26 | 2.46 | 0.00 | 0.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 0.156 | 0.089 | 0.000 | 1.212 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 178 | 306 | 0 | 130 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.11 | 1.90 | 0.00 | 0.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.175 | 0.277 | 0.115 | 0.000 | 1.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 220 | 340 | 0 | 155 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 1.73 | 0.00 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.250 | 0.329 | 0.117 | 0.000 | 1.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 186 | 317 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.167 | 0.700 | 0.150 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 153 | 271 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.139 | 0.529 | 0.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 138 | 252 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 2.07 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.108 | 0.364 | 0.109 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 42 | 68 | 0 | 50 | 116 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 0.99 | 0.00 | 0.72 | 1.68 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.027 | 0.091 | 0.000 | 1.700 | 0.965 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 138 | 251 | 0 | 127 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.67 | 0.00 | 0.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.143 | 0.477 | 0.110 | 0.000 | 1.413 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 175 | 329 | 0 | 182 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.70 | 0.00 | 0.94 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.171 | 0.791 | 0.124 | 0.000 | 1.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 219 | 345 | 0 | 221 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.41 | 0.00 | 0.91 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.198 | 1.062 | 0.135 | 0.000 | 1.664 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 256 | 256 | 235 | 364 | 358 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.42 | 1.40 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.215 | 0.654 | 0.160 | 0.357 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 216 | 321 | 334 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 1.43 | 1.48 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.183 | 0.519 | 0.142 | 0.341 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 187 | 299 | 291 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 1.70 | 1.65 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.161 | 0.400 | 0.125 | 0.324 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 63 | 109 | 70 | 85 | 189 | 0 | -1 |
N.S. | 1 | 1.00 | 0.72 | 1.24 | 0.80 | 0.97 | 2.15 | 0.00 | -0.01 |
time (sec) |
N/A | 0.058 | 0.045 | 0.153 | 0.271 | 2.104 | 5.630 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 55 | 82 | 65 | 75 | 158 | 0 | -1 |
N.S. | 1 | 1.00 | 0.60 | 0.89 | 0.71 | 0.82 | 1.72 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.036 | 0.096 | 0.283 | 1.254 | 1.822 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 198 | 327 | 406 | 201 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 1.68 | 2.08 | 1.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.186 | 0.611 | 0.132 | 0.333 | 1.963 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 241 | 380 | 0 | 263 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 1.52 | 0.00 | 1.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.212 | 1.027 | 0.142 | 0.000 | 1.794 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 306 | 306 | 274 | 431 | 590 | 311 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 1.41 | 1.93 | 1.02 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.238 | 1.319 | 0.152 | 0.360 | 2.066 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 73 | 79 | 83 | 93 | 168 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 0.79 | 0.83 | 0.93 | 1.68 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.036 | 0.129 | 0.273 | 3.383 | 1.576 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 53 | 140 | 126 | 21 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.08 | 2.86 | 2.57 | 0.43 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.045 | 0.063 | 0.078 | 0.470 | 5.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 285 | 474 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.435 | 0.528 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 241 | 442 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.362 | 0.383 | 0.229 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 208 | 391 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.99 | 1.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.272 | 0.284 | 0.170 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 151 | 344 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.16 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.132 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 272 | 7034 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.26 | 32.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.299 | 0.263 | 2.566 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 289 | 5899 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.27 | 25.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.342 | 0.239 | 2.644 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 190 | 448 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.251 | 0.155 | 0.548 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 240 | 514 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 2.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.320 | 0.325 | 0.649 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 342 | 624 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.699 | 0.744 | 0.288 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 306 | 586 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.620 | 0.748 | 0.321 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 257 | 530 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.88 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.449 | 0.429 | 0.253 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 205 | 469 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 2.44 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.347 | 0.168 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 300 | 300 | 360 | 1542 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 5.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.414 | 0.380 | 4.228 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 378 | 11833 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 37.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.463 | 0.329 | 2.901 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 388 | 1565 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 4.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.472 | 0.507 | 6.798 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 253 | 619 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.202 | 0.413 | 0.588 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 408 | 720 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 1.64 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.004 | 1.163 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 369 | 682 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.847 | 0.885 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 325 | 626 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 2.04 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.446 | 0.746 | 0.229 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 226 | 226 | 267 | 553 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.159 | 0.479 | 0.202 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 465 | 1651 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 4.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.552 | 0.464 | 6.457 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 512 | 1702 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.27 | 4.23 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.542 | 0.323 | 8.267 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 416 | 416 | 500 | 1746 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 4.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.539 | 0.691 | 7.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 429 | 429 | 595 | 1726 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.39 | 4.02 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.640 | 0.431 | 10.272 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 322 | 701 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 2.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.252 | 0.510 | 0.707 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 384 | 384 | 363 | 760 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.277 | 0.827 | 1.041 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 513 | 513 | 401 | 797 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.371 | 1.006 | 0.872 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 421 | 1227 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 3.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.606 | 0.615 | 7.988 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 330 | 1113 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 4.02 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.373 | 0.346 | 4.636 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 239 | 4395 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.24 | 22.89 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.235 | 0.291 | 1.310 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 95 | 1003 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 10.23 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.113 | 0.024 | 2.501 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 173 | 1741 | 0 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.97 | 19.78 | 0.00 | 1.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.124 | 0.173 | 1.111 | 0.000 | 0.638 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 265 | 9130 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.42 | 49.09 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.294 | 0.536 | 1.588 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |