Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 79 | 383 | 1170 | 140 | 0 | 104 | 0 |
N.S. |
1 | 1.00 | 1.27 | 6.18 | 18.87 | 2.26 | 0.00 | 1.68 | 0.00 |
time (sec) |
N/A | 0.140 | 0.071 | 1.221 | 0.402 | 0.263 | 0.000 | 0.422 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 94 | 551 | 2642 | 155 | 0 | 131 | 0 |
N.S. |
1 | 1.00 | 0.92 | 5.40 | 25.90 | 1.52 | 0.00 | 1.28 | 0.00 |
time (sec) |
N/A | 0.194 | 0.122 | 1.560 | 4.163 | 0.265 | 0.000 | 0.438 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 109 | 717 | 5115 | 165 | 0 | 154 | 0 |
N.S. |
1 | 1.00 | 0.79 | 5.20 | 37.07 | 1.20 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.265 | 0.224 | 1.779 | 45.833 | 0.264 | 0.000 | 0.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 93 | 99 | 84 | 78 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.61 | 0.52 | 0.48 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.291 | 0.165 | 0.714 | 0.388 | 0.263 | 0.000 | 0.681 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 81 | 86 | 69 | 67 | 0 | 100 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.74 | 0.59 | 0.58 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.162 | 0.106 | 0.867 | 0.385 | 0.254 | 0.000 | 0.428 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 67 | 71 | 53 | 55 | 0 | 77 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.83 | 0.62 | 0.64 | 0.00 | 0.90 | 0.00 |
time (sec) |
N/A | 0.078 | 0.063 | 0.970 | 0.393 | 0.246 | 0.000 | 0.333 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 55 | 58 | 38 | 44 | 0 | 55 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.98 | 0.64 | 0.75 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.032 | 0.041 | 0.772 | 0.408 | 0.309 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 65 | 209 | 0 | 127 | 0 | 89 | 0 |
N.S. |
1 | 1.00 | 0.98 | 3.17 | 0.00 | 1.92 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.131 | 0.058 | 1.335 | 0.000 | 0.255 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 81 | 385 | 1314 | 146 | 0 | 107 | 0 |
N.S. |
1 | 1.00 | 1.25 | 5.92 | 20.22 | 2.25 | 0.00 | 1.65 | 0.00 |
time (sec) |
N/A | 0.141 | 0.079 | 1.370 | 0.413 | 0.251 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 97 | 551 | 3216 | 162 | 0 | 134 | 0 |
N.S. |
1 | 1.00 | 0.92 | 5.20 | 30.34 | 1.53 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 0.199 | 0.159 | 1.557 | 0.931 | 0.317 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 110 | 718 | 5542 | 173 | 0 | 158 | 0 |
N.S. |
1 | 1.00 | 0.76 | 4.99 | 38.49 | 1.20 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.294 | 0.236 | 1.901 | 164.443 | 0.267 | 0.000 | 0.333 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 107 | 112 | 111 | 101 | 0 | 156 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.55 | 0.55 | 0.50 | 0.00 | 0.77 | 0.00 |
time (sec) |
N/A | 0.432 | 0.314 | 5.543 | 0.356 | 0.264 | 0.000 | 1.757 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 95 | 99 | 94 | 88 | 0 | 132 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.68 | 0.64 | 0.60 | 0.00 | 0.90 | 0.00 |
time (sec) |
N/A | 0.199 | 0.192 | 2.147 | 0.470 | 0.308 | 0.000 | 0.809 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 84 | 86 | 77 | 75 | 0 | 108 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.74 | 0.66 | 0.65 | 0.00 | 0.93 | 0.00 |
time (sec) |
N/A | 0.100 | 0.146 | 1.163 | 0.372 | 0.265 | 0.000 | 0.442 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 71 | 73 | 60 | 62 | 0 | 84 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.82 | 0.67 | 0.70 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.054 | 0.068 | 0.885 | 0.342 | 0.257 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 89 | 246 | 0 | 147 | 0 | 120 | 0 |
N.S. |
1 | 1.00 | 0.91 | 2.51 | 0.00 | 1.50 | 0.00 | 1.22 | 0.00 |
time (sec) |
N/A | 0.242 | 0.279 | 1.973 | 0.000 | 0.276 | 0.000 | 0.386 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 217 | 432 | 10847 | 164 | 0 | 135 | 0 |
N.S. |
1 | 1.00 | 2.36 | 4.70 | 117.90 | 1.78 | 0.00 | 1.47 | 0.00 |
time (sec) |
N/A | 0.243 | 5.580 | 6.561 | 0.673 | 0.270 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 267 | 551 | 3667 | 170 | 0 | 140 | 0 |
N.S. |
1 | 1.00 | 2.52 | 5.20 | 34.59 | 1.60 | 0.00 | 1.32 | 0.00 |
time (sec) |
N/A | 0.283 | 6.367 | 27.530 | 3.255 | 0.280 | 0.000 | 0.526 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 284 | 717 | 6703 | 183 | 0 | 166 | 0 |
N.S. |
1 | 1.00 | 1.97 | 4.98 | 46.55 | 1.27 | 0.00 | 1.15 | 0.00 |
time (sec) |
N/A | 0.419 | 6.465 | 96.056 | 44.297 | 0.270 | 0.000 | 0.416 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 388 | 882 | 0 | 196 | 0 | 192 | 0 |
N.S. |
1 | 1.00 | 2.13 | 4.85 | 0.00 | 1.08 | 0.00 | 1.05 | 0.00 |
time (sec) |
N/A | 0.581 | 6.688 | 299.260 | 0.000 | 0.266 | 0.000 | 0.422 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 83 | 86 | 77 | 75 | 0 | 108 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.72 | 0.65 | 0.63 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.117 | 0.161 | 0.983 | 0.371 | 0.250 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 112 | 194 | 696204 | 153 | 0 | 141 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.11 | 4001.17 | 0.88 | 0.00 | 0.81 | 0.00 |
time (sec) |
N/A | 0.649 | 0.228 | 1.163 | 17.570 | 0.293 | 0.000 | 0.577 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 101 | 183 | 908518 | 143 | 0 | 139 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.31 | 6489.41 | 1.02 | 0.00 | 0.99 | 0.00 |
time (sec) |
N/A | 0.461 | 0.170 | 1.293 | 17.657 | 0.257 | 0.000 | 0.415 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 84 | 132 | 19437 | 131 | 0 | 103 | 97 |
N.S. |
1 | 1.00 | 0.81 | 1.27 | 186.89 | 1.26 | 0.00 | 0.99 | 0.93 |
time (sec) |
N/A | 0.158 | 0.095 | 1.414 | 0.662 | 0.265 | 0.000 | 0.360 | 14.229 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 53 | 120 | 18948 | 122 | 0 | 100 | 60 |
N.S. |
1 | 1.00 | 0.73 | 1.64 | 259.56 | 1.67 | 0.00 | 1.37 | 0.82 |
time (sec) |
N/A | 0.069 | 0.032 | 1.223 | 0.575 | 0.312 | 0.000 | 0.341 | 0.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 40 | 56 | 90 | 126 | 0 | 93 | 45 |
N.S. |
1 | 1.00 | 0.87 | 1.22 | 1.96 | 2.74 | 0.00 | 2.02 | 0.98 |
time (sec) |
N/A | 0.028 | 0.008 | 0.441 | 0.352 | 0.262 | 0.000 | 0.298 | 14.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 65 | 226 | 0 | 164 | 0 | 121 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.66 | 0.00 | 1.93 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.158 | 0.040 | 1.639 | 0.000 | 0.271 | 0.000 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 192 | 466 | 18435 | 236 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.78 | 4.31 | 170.69 | 2.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.277 | 0.855 | 1.746 | 0.548 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 360 | 677 | 0 | 251 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.45 | 4.61 | 0.00 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 1.261 | 1.802 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 385 | 883 | 0 | 263 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.13 | 4.88 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.629 | 1.416 | 2.039 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 118 | 265 | 0 | 184 | 0 | 167 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.45 | 0.00 | 1.01 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.489 | 0.264 | 1.159 | 0.000 | 0.268 | 0.000 | 1.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 110 | 234 | 0 | 174 | 0 | 101 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.61 | 0.00 | 1.20 | 0.00 | 0.70 | 0.00 |
time (sec) |
N/A | 0.334 | 0.193 | 1.264 | 0.000 | 0.261 | 0.000 | 0.689 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 100 | 173 | 0 | 164 | 0 | 145 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.65 | 0.00 | 1.56 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.176 | 0.133 | 1.561 | 0.000 | 0.255 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 54 | 140 | 46532 | 154 | 0 | 116 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.82 | 604.31 | 2.00 | 0.00 | 1.51 | 0.00 |
time (sec) |
N/A | 0.067 | 0.077 | 1.283 | 2.590 | 0.250 | 0.000 | 0.375 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 63 | 138 | 15721 | 153 | 0 | 112 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.79 | 204.17 | 1.99 | 0.00 | 1.45 | 0.00 |
time (sec) |
N/A | 0.045 | 0.048 | 1.105 | 1.142 | 0.254 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 227 | 290 | 0 | 254 | 0 | 137 | 0 |
N.S. |
1 | 1.00 | 1.99 | 2.54 | 0.00 | 2.23 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 0.274 | 1.266 | 1.948 | 0.000 | 0.265 | 0.000 | 0.359 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 103 | 567 | 139280 | 286 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 3.94 | 967.22 | 1.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 0.338 | 1.684 | 5.926 | 0.308 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 841 | 807 | 0 | 302 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.55 | 4.36 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.594 | 6.928 | 1.809 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 123 | 242 | 0 | 208 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.32 | 0.00 | 1.14 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.477 | 0.422 | 1.425 | 0.000 | 0.268 | 0.000 | 3.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 113 | 208 | 0 | 198 | 0 | 161 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.43 | 0.00 | 1.37 | 0.00 | 1.11 | 0.00 |
time (sec) |
N/A | 0.319 | 0.306 | 1.398 | 0.000 | 0.256 | 0.000 | 2.120 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 104 | 174 | 0 | 188 | 0 | 138 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.63 | 0.00 | 1.76 | 0.00 | 1.29 | 0.00 |
time (sec) |
N/A | 0.167 | 0.269 | 1.276 | 0.000 | 0.263 | 0.000 | 1.090 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 65 | 174 | 0 | 188 | 0 | 69 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.63 | 0.00 | 1.76 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.097 | 0.170 | 1.289 | 0.000 | 0.262 | 0.000 | 0.643 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 65 | 174 | 84332 | 188 | 0 | 129 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.63 | 788.15 | 1.76 | 0.00 | 1.21 | 0.00 |
time (sec) |
N/A | 0.074 | 0.106 | 1.308 | 14.940 | 0.259 | 0.000 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 279 | 325 | 0 | 298 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.94 | 2.26 | 0.00 | 2.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 4.764 | 1.749 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 731 | 601 | 0 | 330 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.20 | 3.45 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.624 | 6.972 | 1.693 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 241 | 270 | 0 | 148 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 2.17 | 2.43 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.087 | 4.640 | 8.852 | 0.000 | 0.093 | 0.000 | 0.000 | 15.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 232 | 219 | 0 | 137 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 2.67 | 2.52 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.068 | 3.560 | 6.664 | 0.000 | 0.091 | 0.000 | 0.000 | 0.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 222 | 225 | 0 | 125 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 3.64 | 3.69 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.062 | 3.194 | 5.078 | 0.000 | 0.089 | 0.000 | 0.000 | 0.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 155 | 150 | 0 | 107 | 0 | 0 | 27 |
N.S. |
1 | 1.00 | 4.43 | 4.29 | 0.00 | 3.06 | 0.00 | 0.00 | 0.77 |
time (sec) |
N/A | 0.048 | 1.333 | 2.605 | 0.000 | 0.084 | 0.000 | 0.000 | 14.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 209 | 148 | 0 | 156 | 0 | 0 | 60 |
N.S. |
1 | 1.00 | 3.67 | 2.60 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.059 | 3.235 | 3.096 | 0.000 | 0.087 | 0.000 | 0.000 | 15.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 247 | 368 | 0 | 175 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 2.98 | 4.43 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.070 | 4.506 | 4.266 | 0.000 | 0.093 | 0.000 | 0.000 | 15.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 477 | 384 | 0 | 188 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 4.30 | 3.46 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.088 | 6.318 | 6.212 | 0.000 | 0.094 | 0.000 | 0.000 | 15.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 255 | 260 | 0 | 175 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.170 | 5.277 | 12.147 | 0.000 | 0.100 | 0.000 | 0.000 | 15.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 245 | 272 | 0 | 162 | 0 | 0 | 129 |
N.S. |
1 | 1.00 | 2.02 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.149 | 4.736 | 9.442 | 0.000 | 0.094 | 0.000 | 0.000 | 14.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 235 | 250 | 0 | 149 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 2.47 | 2.63 | 0.00 | 1.57 | 0.00 | 0.00 | 1.09 |
time (sec) |
N/A | 0.128 | 3.865 | 7.076 | 0.000 | 0.092 | 0.000 | 0.000 | 14.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 224 | 228 | 0 | 134 | 0 | 0 | 59 |
N.S. |
1 | 1.00 | 3.34 | 3.40 | 0.00 | 2.00 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.100 | 3.856 | 3.940 | 0.000 | 0.089 | 0.000 | 0.000 | 14.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 112 | 185 | 0 | 97 | 0 | 0 | 82 |
N.S. |
1 | 1.00 | 2.55 | 4.20 | 0.00 | 2.20 | 0.00 | 0.00 | 1.86 |
time (sec) |
N/A | 0.106 | 0.264 | 4.041 | 0.000 | 0.084 | 0.000 | 0.000 | 14.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 111 | 371 | 0 | 187 | 0 | 0 | 109 |
N.S. |
1 | 1.00 | 1.22 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.118 | 0.218 | 4.827 | 0.000 | 0.092 | 0.000 | 0.000 | 14.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 114 | 386 | 0 | 202 | 0 | 0 | 114 |
N.S. |
1 | 1.00 | 0.94 | 3.19 | 0.00 | 1.67 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.150 | 0.282 | 7.274 | 0.000 | 0.094 | 0.000 | 0.000 | 15.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 255 | 260 | 0 | 175 | 0 | 0 | 206 |
N.S. |
1 | 1.00 | 1.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 1.40 |
time (sec) |
N/A | 0.190 | 6.712 | 12.954 | 0.000 | 0.100 | 0.000 | 0.000 | 15.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 245 | 272 | 0 | 162 | 0 | 0 | 143 |
N.S. |
1 | 1.00 | 2.02 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.186 | 5.460 | 10.527 | 0.000 | 0.099 | 0.000 | 0.000 | 14.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 233 | 250 | 0 | 148 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 2.56 | 2.75 | 0.00 | 1.63 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.136 | 5.014 | 5.943 | 0.000 | 0.096 | 0.000 | 0.000 | 13.916 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 146 | 172 | 0 | 180 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 1.60 | 1.89 | 0.00 | 1.98 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.134 | 0.401 | 5.967 | 0.000 | 0.092 | 0.000 | 0.000 | 14.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 139 | 371 | 0 | 187 | 0 | 0 | 126 |
N.S. |
1 | 1.00 | 1.53 | 4.08 | 0.00 | 2.05 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.128 | 0.323 | 6.454 | 0.000 | 0.097 | 0.000 | 0.000 | 14.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 138 | 386 | 0 | 200 | 0 | 0 | 154 |
N.S. |
1 | 1.00 | 1.18 | 3.30 | 0.00 | 1.71 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.153 | 0.437 | 7.484 | 0.000 | 0.093 | 0.000 | 0.000 | 15.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 140 | 439 | 0 | 215 | 0 | 0 | 145 |
N.S. |
1 | 1.00 | 0.95 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.198 | 0.644 | 10.407 | 0.000 | 0.117 | 0.000 | 0.000 | 15.566 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 271 | 273 | 0 | 188 | 0 | 0 | 221 |
N.S. |
1 | 1.00 | 1.57 | 1.58 | 0.00 | 1.09 | 0.00 | 0.00 | 1.28 |
time (sec) |
N/A | 0.251 | 3.087 | 15.950 | 0.000 | 0.102 | 0.000 | 0.000 | 15.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 255 | 260 | 0 | 175 | 0 | 0 | 223 |
N.S. |
1 | 1.00 | 1.73 | 1.77 | 0.00 | 1.19 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.204 | 5.935 | 12.700 | 0.000 | 0.113 | 0.000 | 0.000 | 15.160 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 245 | 272 | 0 | 162 | 0 | 0 | 146 |
N.S. |
1 | 1.00 | 2.02 | 2.25 | 0.00 | 1.34 | 0.00 | 0.00 | 1.21 |
time (sec) |
N/A | 0.180 | 5.784 | 9.147 | 0.000 | 0.094 | 0.000 | 0.000 | 15.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 157 | 194 | 0 | 194 | 0 | 0 | 149 |
N.S. |
1 | 1.00 | 1.32 | 1.63 | 0.00 | 1.63 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.156 | 0.936 | 8.785 | 0.000 | 0.106 | 0.000 | 0.000 | 15.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 186 | 292 | 0 | 125 | 0 | 0 | 145 |
N.S. |
1 | 1.00 | 1.90 | 2.98 | 0.00 | 1.28 | 0.00 | 0.00 | 1.48 |
time (sec) |
N/A | 0.159 | 0.688 | 8.245 | 0.000 | 0.092 | 0.000 | 0.000 | 15.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 169 | 386 | 0 | 202 | 0 | 0 | 202 |
N.S. |
1 | 1.00 | 1.40 | 3.19 | 0.00 | 1.67 | 0.00 | 0.00 | 1.67 |
time (sec) |
N/A | 0.173 | 0.663 | 8.786 | 0.000 | 0.101 | 0.000 | 0.000 | 15.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 171 | 439 | 0 | 215 | 0 | 0 | 199 |
N.S. |
1 | 1.00 | 1.16 | 2.99 | 0.00 | 1.46 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.206 | 1.042 | 10.460 | 0.000 | 0.093 | 0.000 | 0.000 | 15.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 315 | 229 | 0 | 208 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.46 | 1.79 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.130 | 1.859 | 5.279 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 289 | 215 | 0 | 198 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.89 | 2.15 | 0.00 | 1.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.121 | 1.346 | 4.191 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 264 | 199 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.67 | 2.76 | 0.00 | 2.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.101 | 2.196 | 3.261 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 256 | 198 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.66 | 2.83 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.098 | 1.000 | 2.405 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 257 | 200 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.67 | 2.86 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.103 | 1.070 | 1.704 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 297 | 253 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.09 | 2.64 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.126 | 1.791 | 2.536 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 332 | 413 | 0 | 258 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.68 | 3.33 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.130 | 2.910 | 3.731 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 148 | 283 | 0 | 288 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.77 | 0.00 | 1.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.944 | 6.383 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 136 | 270 | 0 | 278 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.96 | 0.00 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.614 | 6.199 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 128 | 257 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 2.29 | 0.00 | 2.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.221 | 0.496 | 5.039 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 114 | 257 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 0.384 | 3.260 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 71 | 188 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.25 | 3.30 | 0.00 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 0.278 | 2.901 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 304 | 257 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.79 | 2.36 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.206 | 2.415 | 1.870 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 334 | 405 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.46 | 2.98 | 0.00 | 2.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 2.370 | 3.289 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 364 | 413 | 0 | 338 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.25 | 2.55 | 0.00 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 4.964 | 4.549 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 175 | 296 | 0 | 364 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.43 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 2.101 | 11.214 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 166 | 283 | 0 | 354 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.56 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.376 | 1.338 | 10.449 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 157 | 270 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 1.290 | 10.244 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 146 | 270 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 1.021 | 9.678 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 146 | 270 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 1.081 | 4.295 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 139 | 270 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.74 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.356 | 2.240 | 4.188 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 304 | 268 | 0 | 344 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.96 | 1.73 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 4.941 | 2.309 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 364 | 555 | 0 | 394 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.01 | 3.07 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 2.442 | 4.149 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 394 | 453 | 0 | 414 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.90 | 2.19 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.649 | 2.834 | 5.208 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 105 | 180 | 1921 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 1.17 | 12.47 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.230 | 11.510 | 0.581 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 91 | 145 | 1059 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.25 | 9.13 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 0.137 | 11.604 | 0.465 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 77 | 108 | 791 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.07 | 1.50 | 10.99 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.145 | 0.063 | 11.620 | 0.436 | 0.264 | 0.000 | 0.000 | 0.000 |