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 | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 474 | 474 | 53 | 1054 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.11 | 2.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 10.022 | 2.170 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 497 | 497 | 48 | 1083 | 0 | 24 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.10 | 2.18 | 0.00 | 0.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.351 | 10.017 | 2.368 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 113 | 151 | 0 | 0 | 182 | 109 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.87 | 0.00 | 0.00 | 1.05 | 0.63 | 0.00 |
time (sec) |
N/A | 0.113 | 0.333 | 2.215 | 0.000 | 0.000 | 0.422 | 0.325 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 89 | 99 | 0 | 0 | 153 | 81 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.85 | 0.00 | 0.00 | 1.32 | 0.70 | 0.00 |
time (sec) |
N/A | 0.073 | 0.262 | 2.207 | 0.000 | 0.000 | 0.329 | 0.324 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 62 | 50 | 0 | 0 | 119 | 52 | 72 |
N.S. |
1 | 1.00 | 1.11 | 0.89 | 0.00 | 0.00 | 2.12 | 0.93 | 1.29 |
time (sec) |
N/A | 0.038 | 0.190 | 2.156 | 0.000 | 0.000 | 0.278 | 0.324 | 11.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 20 | 0 | 19 | 0 | 25 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.00 | 0.76 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.025 | 0.122 | 2.220 | 0.000 | 0.320 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 48 | 67 | 0 | 42 | 0 | 84 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.80 | 0.00 | 0.50 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.071 | 0.144 | 2.225 | 0.000 | 0.314 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 72 | 119 | 0 | 64 | 0 | 146 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.84 | 0.00 | 0.45 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.125 | 0.152 | 2.219 | 0.000 | 0.333 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 96 | 171 | 0 | 86 | 0 | 208 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.86 | 0.00 | 0.43 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.206 | 0.201 | 2.195 | 0.000 | 0.342 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 137 | 227 | 0 | 0 | 0 | 148 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.15 | 0.00 | 0.00 | 0.00 | 0.75 | 0.00 |
time (sec) |
N/A | 0.123 | 0.650 | 2.191 | 0.000 | 0.000 | 0.000 | 0.345 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 113 | 175 | 0 | 0 | 0 | 120 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.26 | 0.00 | 0.00 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.086 | 0.499 | 2.155 | 0.000 | 0.000 | 0.000 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 84 | 124 | 0 | 0 | 0 | 92 | 0 |
N.S. |
1 | 1.00 | 1.09 | 1.61 | 0.00 | 0.00 | 0.00 | 1.19 | 0.00 |
time (sec) |
N/A | 0.050 | 0.319 | 2.292 | 0.000 | 0.000 | 0.000 | 0.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 31 | 45 | 0 | 36 | 0 | 34 | 40 |
N.S. |
1 | 1.00 | 1.24 | 1.80 | 0.00 | 1.44 | 0.00 | 1.36 | 1.60 |
time (sec) |
N/A | 0.004 | 0.191 | 2.291 | 0.000 | 0.506 | 0.000 | 0.285 | 9.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 55 | 46 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.58 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.074 | 0.232 | 2.232 | 0.000 | 0.945 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 81 | 98 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 0.72 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.127 | 0.253 | 2.183 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 105 | 150 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.77 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.255 | 2.185 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 126 | 177 | 0 | 0 | 199 | 123 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.87 | 0.00 | 0.00 | 0.98 | 0.60 | 0.00 |
time (sec) |
N/A | 0.124 | 0.349 | 2.180 | 0.000 | 0.000 | 1.605 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 102 | 125 | 0 | 0 | 170 | 95 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.86 | 0.00 | 0.00 | 1.16 | 0.65 | 0.00 |
time (sec) |
N/A | 0.084 | 0.308 | 2.284 | 0.000 | 0.000 | 0.487 | 0.335 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 80 | 74 | 0 | 0 | 143 | 67 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.85 | 0.00 | 0.00 | 1.64 | 0.77 | 0.00 |
time (sec) |
N/A | 0.055 | 0.258 | 2.410 | 0.000 | 0.000 | 0.326 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 40 | 32 | 0 | 0 | 99 | 35 | 0 |
N.S. |
1 | 1.00 | 1.18 | 0.94 | 0.00 | 0.00 | 2.91 | 1.03 | 0.00 |
time (sec) |
N/A | 0.034 | 0.150 | 2.158 | 0.000 | 0.000 | 0.398 | 0.339 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 35 | 41 | 0 | 29 | 0 | 53 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.76 | 0.00 | 0.54 | 0.00 | 0.98 | 0.00 |
time (sec) |
N/A | 0.055 | 0.151 | 2.133 | 0.000 | 0.442 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 59 | 93 | 0 | 50 | 0 | 115 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.83 | 0.00 | 0.45 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.100 | 0.177 | 2.133 | 0.000 | 0.345 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 83 | 145 | 0 | 72 | 0 | 177 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.85 | 0.00 | 0.42 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.152 | 0.192 | 2.159 | 0.000 | 0.368 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 124 | 201 | 0 | 0 | 0 | 134 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.18 | 0.00 | 0.00 | 0.00 | 0.78 | 0.00 |
time (sec) |
N/A | 0.101 | 0.584 | 2.138 | 0.000 | 0.000 | 0.000 | 0.344 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 100 | 148 | 0 | 0 | 0 | 106 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.31 | 0.00 | 0.00 | 0.00 | 0.94 | 0.00 |
time (sec) |
N/A | 0.074 | 0.451 | 2.141 | 0.000 | 0.000 | 0.000 | 0.356 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 72 | 101 | 0 | 0 | 0 | 71 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.68 | 0.00 | 0.00 | 0.00 | 1.18 | 0.00 |
time (sec) |
N/A | 0.045 | 0.277 | 2.136 | 0.000 | 0.000 | 0.000 | 0.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 46 | 25 | 0 | 54 | 0 | 26 | 0 |
N.S. |
1 | 1.00 | 1.53 | 0.83 | 0.00 | 1.80 | 0.00 | 0.87 | 0.00 |
time (sec) |
N/A | 0.032 | 0.224 | 2.184 | 0.000 | 0.459 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 70 | 72 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.67 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.101 | 0.251 | 2.166 | 0.000 | 0.492 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 96 | 124 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.58 | 0.75 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 0.275 | 2.174 | 0.000 | 0.459 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 120 | 176 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.79 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.290 | 2.214 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 155 | 264 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 10.191 | 2.062 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 411 | 411 | 136 | 273 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.33 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.367 | 10.149 | 2.096 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 118 | 198 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 10.119 | 2.078 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 94 | 207 | 0 | 0 | 0 | 0 | 40 |
N.S. |
1 | 1.00 | 0.29 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.12 |
time (sec) |
N/A | 0.215 | 10.062 | 2.035 | 0.000 | 0.000 | 0.000 | 0.000 | 9.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 54 | 132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.44 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 10.048 | 2.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 59 | 213 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 10.051 | 1.982 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 59 | 179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.31 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 10.053 | 2.093 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 413 | 413 | 59 | 281 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.14 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 10.053 | 2.079 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 276 | 59 | 245 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.21 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.266 | 10.055 | 2.370 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 142 | 196 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 10.176 | 3.363 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 408 | 408 | 123 | 261 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.355 | 10.151 | 2.222 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 106 | 163 | 0 | 0 | 0 | 0 | 40 |
N.S. |
1 | 1.00 | 0.51 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.19 |
time (sec) |
N/A | 0.172 | 10.100 | 2.043 | 0.000 | 0.000 | 0.000 | 0.000 | 9.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 60 | 205 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.19 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 10.053 | 2.051 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 60 | 130 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.42 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.125 | 10.057 | 1.996 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 62 | 235 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 10.054 | 2.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 62 | 168 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.29 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 10.060 | 3.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 62 | 301 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.14 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 10.056 | 4.563 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 301 | 301 | 62 | 201 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.21 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.304 | 10.065 | 5.863 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 161 | 196 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.317 | 10.107 | 5.022 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 143 | 261 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 10.087 | 3.283 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 124 | 163 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 10.076 | 2.109 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 326 | 106 | 210 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.33 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 10.069 | 1.996 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 80 | 127 | 0 | 0 | 0 | 0 | 40 |
N.S. |
1 | 1.00 | 0.63 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.32 |
time (sec) |
N/A | 0.090 | 10.043 | 2.011 | 0.000 | 0.000 | 0.000 | 0.000 | 9.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 294 | 54 | 195 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 10.052 | 2.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 59 | 142 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 10.048 | 2.022 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 59 | 262 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.15 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 10.053 | 3.265 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 59 | 179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.24 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 10.049 | 5.210 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 437 | 437 | 131 | 303 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.428 | 10.125 | 4.530 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 119 | 228 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.248 | 10.095 | 3.109 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 349 | 349 | 94 | 237 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.27 | 0.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 10.088 | 2.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 82 | 160 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.55 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.130 | 10.074 | 2.075 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 62 | 197 | 0 | 0 | 0 | 0 | 40 |
N.S. |
1 | 1.00 | 0.21 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.14 |
time (sec) |
N/A | 0.182 | 10.033 | 2.031 | 0.000 | 0.000 | 0.000 | 0.000 | 9.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 62 | 162 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.39 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.141 | 10.065 | 2.076 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 64 | 267 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.17 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.331 | 10.061 | 3.246 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 64 | 231 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.26 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.249 | 10.059 | 5.330 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 471 | 471 | 64 | 333 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.14 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.469 | 10.057 | 6.066 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 371 | 371 | 185 | 156 | 0 | 1293 | 0 | 396 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.42 | 0.00 | 3.49 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.417 | 0.179 | 2.084 | 0.000 | 179.802 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 133 | 123 | 0 | 1031 | 0 | 312 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.43 | 0.00 | 3.64 | 0.00 | 1.10 | 0.00 |
time (sec) |
N/A | 0.290 | 0.147 | 2.072 | 0.000 | 150.030 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 96 | 90 | 0 | 767 | 0 | 228 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.46 | 0.00 | 3.93 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 0.178 | 0.109 | 2.037 | 0.000 | 147.950 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 74 | 57 | 0 | 501 | 0 | 143 | 40 |
N.S. |
1 | 1.00 | 0.68 | 0.52 | 0.00 | 4.60 | 0.00 | 1.31 | 0.37 |
time (sec) |
N/A | 0.093 | 0.073 | 2.065 | 0.000 | 162.933 | 0.000 | 0.292 | 11.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 27 | 0 | 224 | 0 | 23 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 0.00 | 9.74 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.063 | 2.051 | 0.000 | 170.839 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 76 | 79 | 0 | 0 | 0 | 72 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.88 | 0.00 | 0.00 | 0.00 | 0.80 | 0.00 |
time (sec) |
N/A | 0.094 | 0.257 | 2.054 | 0.000 | 0.000 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 112 | 125 | 0 | 0 | 0 | 126 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.70 | 0.00 | 0.00 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.191 | 0.340 | 2.029 | 0.000 | 0.000 | 0.000 | 0.324 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 149 | 167 | 0 | 0 | 0 | 177 | 0 |
N.S. |
1 | 1.00 | 0.56 | 0.63 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.302 | 0.422 | 2.011 | 0.000 | 0.000 | 0.000 | 0.369 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 186 | 209 | 0 | 0 | 0 | 228 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.59 | 0.00 | 0.00 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.416 | 0.506 | 2.098 | 0.000 | 0.000 | 0.000 | 0.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 343 | 343 | 168 | 145 | 0 | 1293 | 0 | 770 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.42 | 0.00 | 3.77 | 0.00 | 2.24 | 0.00 |
time (sec) |
N/A | 0.396 | 6.333 | 2.034 | 0.000 | 199.502 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 131 | 112 | 0 | 1031 | 0 | 602 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.44 | 0.00 | 4.04 | 0.00 | 2.36 | 0.00 |
time (sec) |
N/A | 0.258 | 6.254 | 2.015 | 0.000 | 144.930 | 0.000 | 0.317 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 94 | 79 | 0 | 768 | 0 | 434 | 40 |
N.S. |
1 | 1.00 | 0.56 | 0.47 | 0.00 | 4.54 | 0.00 | 2.57 | 0.24 |
time (sec) |
N/A | 0.166 | 6.208 | 2.088 | 0.000 | 153.105 | 0.000 | 0.311 | 10.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 59 | 48 | 0 | 501 | 0 | 265 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.57 | 0.00 | 5.96 | 0.00 | 3.15 | 0.00 |
time (sec) |
N/A | 0.092 | 6.227 | 2.048 | 0.000 | 175.324 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 88 | 67 | 0 | 0 | 0 | 83 | 0 |
N.S. |
1 | 1.00 | 1.13 | 0.86 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 |
time (sec) |
N/A | 0.090 | 10.118 | 2.050 | 0.000 | 0.000 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 61 | 93 | 0 | 0 | 0 | 92 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.82 | 0.00 | 0.00 | 0.00 | 0.81 | 0.00 |
time (sec) |
N/A | 0.119 | 10.070 | 1.749 | 0.000 | 0.000 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 61 | 139 | 0 | 0 | 0 | 143 | 0 |
N.S. |
1 | 1.00 | 0.30 | 0.68 | 0.00 | 0.00 | 0.00 | 0.70 | 0.00 |
time (sec) |
N/A | 0.217 | 10.068 | 1.797 | 0.000 | 0.000 | 0.000 | 0.332 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 61 | 181 | 0 | 0 | 0 | 194 | 0 |
N.S. |
1 | 1.00 | 0.21 | 0.62 | 0.00 | 0.00 | 0.00 | 0.67 | 0.00 |
time (sec) |
N/A | 0.331 | 10.074 | 1.846 | 0.000 | 0.000 | 0.000 | 0.540 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 379 | 379 | 61 | 223 | 0 | 0 | 0 | 245 | 0 |
N.S. |
1 | 1.00 | 0.16 | 0.59 | 0.00 | 0.00 | 0.00 | 0.65 | 0.00 |
time (sec) |
N/A | 0.469 | 10.079 | 1.882 | 0.000 | 0.000 | 0.000 | 0.488 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 401 | 401 | 185 | 167 | 0 | 1294 | 0 | 206 | 0 |
N.S. |
1 | 1.00 | 0.46 | 0.42 | 0.00 | 3.23 | 0.00 | 0.51 | 0.00 |
time (sec) |
N/A | 0.474 | 0.193 | 2.068 | 0.000 | 148.429 | 0.000 | 0.654 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 148 | 134 | 0 | 1031 | 0 | 164 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.43 | 0.00 | 3.29 | 0.00 | 0.52 | 0.00 |
time (sec) |
N/A | 0.340 | 0.150 | 1.765 | 0.000 | 176.923 | 0.000 | 0.279 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 111 | 101 | 0 | 768 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.45 | 0.00 | 3.41 | 0.00 | 0.54 | 0.00 |
time (sec) |
N/A | 0.234 | 0.129 | 2.077 | 0.000 | 180.269 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 74 | 68 | 0 | 502 | 0 | 80 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.50 | 0.00 | 3.66 | 0.00 | 0.58 | 0.00 |
time (sec) |
N/A | 0.126 | 0.086 | 1.790 | 0.000 | 170.471 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 36 | 36 | 0 | 238 | 0 | 36 | 40 |
N.S. |
1 | 1.00 | 0.77 | 0.77 | 0.00 | 5.06 | 0.00 | 0.77 | 0.85 |
time (sec) |
N/A | 0.034 | 0.057 | 1.793 | 0.000 | 138.458 | 0.000 | 0.283 | 9.364 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 61 | 0 | 0 | 0 | 51 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 |
time (sec) |
N/A | 0.066 | 0.183 | 1.809 | 0.000 | 0.000 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 101 | 123 | 0 | 0 | 0 | 109 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.80 | 0.00 | 0.00 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.155 | 0.270 | 2.078 | 0.000 | 0.000 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 138 | 183 | 0 | 0 | 0 | 160 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.76 | 0.00 | 0.00 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.265 | 0.333 | 2.183 | 0.000 | 0.000 | 0.000 | 0.326 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 175 | 243 | 0 | 0 | 0 | 211 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.74 | 0.00 | 0.00 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.369 | 0.400 | 10.475 | 0.000 | 0.000 | 0.000 | 0.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 161 | 143 | 0 | 2566 | 0 | 214 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.43 | 0.00 | 7.64 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.374 | 5.592 | 1.924 | 0.000 | 142.885 | 0.000 | 0.313 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 122 | 110 | 0 | 2083 | 0 | 163 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.44 | 0.00 | 8.40 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.273 | 5.482 | 2.757 | 0.000 | 123.024 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 85 | 77 | 0 | 1598 | 0 | 112 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.48 | 0.00 | 9.99 | 0.00 | 0.70 | 0.00 |
time (sec) |
N/A | 0.165 | 5.689 | 1.997 | 0.000 | 125.662 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 45 | 45 | 0 | 1107 | 0 | 60 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.66 | 0.00 | 16.28 | 0.00 | 0.88 | 0.00 |
time (sec) |
N/A | 0.057 | 5.494 | 1.837 | 0.000 | 123.329 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 71 | 56 | 0 | 0 | 0 | 71 | 40 |
N.S. |
1 | 1.00 | 1.18 | 0.93 | 0.00 | 0.00 | 0.00 | 1.18 | 0.67 |
time (sec) |
N/A | 0.037 | 2.186 | 2.286 | 0.000 | 0.000 | 0.000 | 0.286 | 9.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 110 | 88 | 0 | 0 | 0 | 105 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.60 | 0.00 | 0.00 | 0.00 | 0.72 | 0.00 |
time (sec) |
N/A | 0.159 | 5.698 | 1.787 | 0.000 | 0.000 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 48 | 126 | 0 | 0 | 0 | 156 | 0 |
N.S. |
1 | 1.00 | 0.20 | 0.53 | 0.00 | 0.00 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.256 | 10.092 | 2.033 | 0.000 | 0.000 | 0.000 | 0.329 | 0.000 |