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 | F | B | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 261 | 162 | 0 | 394 | 0 | 235 | -1 |
N.S. |
1 | 1.00 | 1.73 | 1.07 | 0.00 | 2.61 | 0.00 | 1.56 | -0.01 |
time (sec) |
N/A | 0.287 | 0.834 | 2.157 | 0.000 | 0.358 | 0.000 | 11.803 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 360 | 222 | 0 | 526 | 0 | 306 | -1 |
N.S. |
1 | 1.00 | 1.59 | 0.98 | 0.00 | 2.32 | 0.00 | 1.35 | -0.00 |
time (sec) |
N/A | 0.417 | 1.162 | 2.590 | 0.000 | 0.375 | 0.000 | 5.160 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 241 | 118 | 231 | 0 | 250 | 0 | 229 | -1 |
N.S. | 1 | 1.61 | 0.79 | 1.54 | 0.00 | 1.67 | 0.00 | 1.53 | -0.01 |
time (sec) |
N/A | 0.615 | 0.466 | 2.341 | 0.000 | 0.367 | 0.000 | 42.653 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 118 | 130 | 0 | 219 | 0 | 164 | -1 |
N.S. | 1 | 1.00 | 1.10 | 1.21 | 0.00 | 2.05 | 0.00 | 1.53 | -0.01 |
time (sec) |
N/A | 0.123 | 0.177 | 1.697 | 0.000 | 0.360 | 0.000 | 20.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 138 | 103 | 0 | 288 | 0 | 138 | -1 |
N.S. | 1 | 1.00 | 2.23 | 1.66 | 0.00 | 4.65 | 0.00 | 2.23 | -0.02 |
time (sec) |
N/A | 0.070 | 0.225 | 2.480 | 0.000 | 0.381 | 0.000 | 10.741 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 292 | 144 | 0 | 404 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.16 | 1.07 | 0.00 | 2.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.400 | 0.415 | 2.274 | 0.000 | 0.381 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 195 | 334 | 289 | 0 | 294 | 0 | 231 | -1 |
N.S. |
1 | 1.10 | 1.89 | 1.63 | 0.00 | 1.66 | 0.00 | 1.31 | -0.01 |
time (sec) |
N/A | 0.799 | 0.254 | 2.432 | 0.000 | 0.412 | 0.000 | 46.831 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 128 | 202 | 0 | 259 | 0 | 127 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.51 | 0.00 | 1.93 | 0.00 | 0.95 | -0.01 |
time (sec) |
N/A | 0.145 | 0.294 | 2.053 | 0.000 | 0.364 | 0.000 | 12.389 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 206 | 135 | 0 | 460 | 0 | 215 | -1 |
N.S. | 1 | 1.00 | 1.82 | 1.19 | 0.00 | 4.07 | 0.00 | 1.90 | -0.01 |
time (sec) |
N/A | 0.149 | 1.506 | 2.471 | 0.000 | 0.386 | 0.000 | 5.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-1) | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 294 | 144 | 0 | 418 | 0 | 176 | -1 |
N.S. |
1 | 1.00 | 2.04 | 1.00 | 0.00 | 2.90 | 0.00 | 1.22 | -0.01 |
time (sec) |
N/A | 0.363 | 0.524 | 2.239 | 0.000 | 0.375 | 0.000 | 9.801 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 260 | 394 | 353 | 0 | 334 | 0 | 186 | -1 |
N.S. |
1 | 1.26 | 1.90 | 1.71 | 0.00 | 1.61 | 0.00 | 0.90 | -0.00 |
time (sec) |
N/A | 0.974 | 0.371 | 2.740 | 0.000 | 0.390 | 0.000 | 39.976 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 284 | 266 | 0 | 304 | 0 | 147 | -1 |
N.S. | 1 | 1.00 | 1.70 | 1.59 | 0.00 | 1.82 | 0.00 | 0.88 | -0.01 |
time (sec) |
N/A | 0.193 | 0.267 | 2.648 | 0.000 | 0.372 | 0.000 | 23.147 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 451 | 219 | 0 | 589 | 0 | 275 | -1 |
N.S. | 1 | 1.00 | 3.20 | 1.55 | 0.00 | 4.18 | 0.00 | 1.95 | -0.01 |
time (sec) |
N/A | 0.225 | 0.501 | 2.231 | 0.000 | 0.392 | 0.000 | 9.943 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | B | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 332 | 182 | 0 | 616 | 0 | 252 | -1 |
N.S. |
1 | 1.00 | 1.74 | 0.95 | 0.00 | 3.23 | 0.00 | 1.32 | -0.01 |
time (sec) |
N/A | 0.636 | 1.582 | 2.587 | 0.000 | 0.415 | 0.000 | 50.435 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | NO | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 982 | 982 | 318 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.894 | 9.628 | 0.198 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 290 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.145 | 9.366 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 2692 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 33.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 19.002 | 0.105 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 2796 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 34.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 17.903 | 0.148 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | NO | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 551 | 551 | 128 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.380 | 0.530 | 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 | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 100 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.154 | 0.337 | 0.142 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 7.343 | 0.121 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F(-1) | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.068 | 5.069 | 0.162 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 4715 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 17.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.251 | 22.876 | 1.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 1452 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.166 | 13.241 | 0.972 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.104 | 1.105 | 0.250 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 232 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 1.744 | 0.296 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 710 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 5.14 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 3.037 | 1.347 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 1200 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.292 | 5.442 | 0.668 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 367 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.31 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 1.419 | 0.181 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 105 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.102 | 0.167 | 0.163 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 63 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.035 | 0.050 | 0.121 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.030 | 0.044 | 0.112 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 68 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 0.133 | 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 | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 83 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.183 | 0.145 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 311 | 311 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.252 | 0.765 | 0.149 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 4043 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 25.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 6.257 | 0.129 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 90 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.115 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 5048 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 56.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 16.881 | 0.120 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.070 | 0.510 | 0.106 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 77 | 81 | 73 | 90 | 0 | 26228 | 176 |
N.S. | 1 | 1.00 | 0.88 | 0.92 | 0.83 | 1.02 | 0.00 | 298.05 | 2.00 |
time (sec) |
N/A | 0.053 | 0.087 | 0.171 | 0.280 | 0.380 | 0.000 | 230.657 | 6.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 38 | 41 | 43 | 45 | 0 | 1456 | 74 |
N.S. | 1 | 1.00 | 0.69 | 0.75 | 0.78 | 0.82 | 0.00 | 26.47 | 1.35 |
time (sec) |
N/A | 0.028 | 0.015 | 0.119 | 0.290 | 0.362 | 0.000 | 7.517 | 6.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 43 | 23 | 22 | 24 | 0 | 23 | 47 |
N.S. | 1 | 1.00 | 1.79 | 0.96 | 0.92 | 1.00 | 0.00 | 0.96 | 1.96 |
time (sec) |
N/A | 0.015 | 0.026 | 0.100 | 0.364 | 0.362 | 0.000 | 9.453 | 6.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 60 | 67 | 45 | 69 | 0 | 60 | 146 |
N.S. | 1 | 1.00 | 1.11 | 1.24 | 0.83 | 1.28 | 0.00 | 1.11 | 2.70 |
time (sec) |
N/A | 0.028 | 0.138 | 0.215 | 0.289 | 0.366 | 0.000 | 23.209 | 6.631 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 87 | 101 | 69 | 110 | 0 | 82 | 207 |
N.S. | 1 | 1.00 | 1.07 | 1.25 | 0.85 | 1.36 | 0.00 | 1.01 | 2.56 |
time (sec) |
N/A | 0.036 | 0.172 | 0.224 | 0.435 | 0.383 | 0.000 | 15.242 | 6.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 81 | 98 | 65 | 73 | 0 | 0 | 110 |
N.S. |
1 | 1.00 | 1.12 | 1.36 | 0.90 | 1.01 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 0.055 | 0.031 | 0.158 | 0.576 | 0.344 | 0.000 | 0.000 | 10.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 47 | 59 | 39 | 47 | 0 | 1008 | 55 |
N.S. | 1 | 1.00 | 1.24 | 1.55 | 1.03 | 1.24 | 0.00 | 26.53 | 1.45 |
time (sec) |
N/A | 0.042 | 0.028 | 0.157 | 0.542 | 0.350 | 0.000 | 10.582 | 6.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 75 | 49 | 54 | 84 | 0 | 108 | 158 |
N.S. | 1 | 1.00 | 1.83 | 1.20 | 1.32 | 2.05 | 0.00 | 2.63 | 3.85 |
time (sec) |
N/A | 0.038 | 0.030 | 0.099 | 0.645 | 0.386 | 0.000 | 9.075 | 6.597 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 125 | 86 | 92 | 160 | 0 | 141 | 225 |
N.S. | 1 | 1.00 | 1.52 | 1.05 | 1.12 | 1.95 | 0.00 | 1.72 | 2.74 |
time (sec) |
N/A | 0.057 | 0.033 | 0.171 | 0.682 | 0.379 | 0.000 | 9.990 | 6.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 164 | 129 | 125 | 222 | 0 | 199 | 288 |
N.S. | 1 | 1.00 | 1.34 | 1.06 | 1.02 | 1.82 | 0.00 | 1.63 | 2.36 |
time (sec) |
N/A | 0.071 | 0.041 | 0.157 | 0.668 | 0.395 | 0.000 | 4.370 | 6.299 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 108 | 135 | 105 | 140 | 0 | 0 | 232 |
N.S. |
1 | 1.00 | 0.97 | 1.22 | 0.95 | 1.26 | 0.00 | 0.00 | 2.09 |
time (sec) |
N/A | 0.124 | 0.288 | 0.193 | 0.314 | 0.380 | 0.000 | 0.000 | 6.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 64 | 69 | 70 | 74 | 0 | 7855 | 150 |
N.S. | 1 | 1.00 | 0.82 | 0.88 | 0.90 | 0.95 | 0.00 | 100.71 | 1.92 |
time (sec) |
N/A | 0.053 | 0.091 | 0.191 | 0.281 | 0.374 | 0.000 | 36.444 | 6.366 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 40 | 40 | 42 | 0 | 41 | 117 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.87 | 0.91 | 0.00 | 0.89 | 2.54 |
time (sec) |
N/A | 0.027 | 0.019 | 0.089 | 0.322 | 0.365 | 0.000 | 13.323 | 6.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 70 | 93 | 69 | 115 | 0 | 99 | 221 |
N.S. | 1 | 1.00 | 0.83 | 1.11 | 0.82 | 1.37 | 0.00 | 1.18 | 2.63 |
time (sec) |
N/A | 0.050 | 0.158 | 0.237 | 0.555 | 0.390 | 0.000 | 9.048 | 6.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 107 | 157 | 105 | 177 | 0 | 138 | 310 |
N.S. | 1 | 1.00 | 0.85 | 1.25 | 0.83 | 1.40 | 0.00 | 1.10 | 2.46 |
time (sec) |
N/A | 0.072 | 0.476 | 0.241 | 0.282 | 0.387 | 0.000 | 8.734 | 6.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 176 | 185 | 119 | 118 | 0 | 0 | 235 |
N.S. |
1 | 1.00 | 1.18 | 1.24 | 0.80 | 0.79 | 0.00 | 0.00 | 1.58 |
time (sec) |
N/A | 0.114 | 0.472 | 0.220 | 0.571 | 0.353 | 0.000 | 0.000 | 10.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 77 | 116 | 83 | 81 | 0 | 7670 | 147 |
N.S. | 1 | 1.00 | 0.82 | 1.23 | 0.88 | 0.86 | 0.00 | 81.60 | 1.56 |
time (sec) |
N/A | 0.087 | 0.325 | 0.228 | 0.715 | 0.398 | 0.000 | 29.434 | 9.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 116 | 79 | 79 | 118 | 0 | 148 | 277 |
N.S. | 1 | 1.00 | 1.49 | 1.01 | 1.01 | 1.51 | 0.00 | 1.90 | 3.55 |
time (sec) |
N/A | 0.063 | 0.281 | 0.153 | 0.496 | 0.384 | 0.000 | 14.775 | 7.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 293 | 145 | 138 | 218 | 0 | 241 | 584 |
N.S. | 1 | 1.00 | 2.20 | 1.09 | 1.04 | 1.64 | 0.00 | 1.81 | 4.39 |
time (sec) |
N/A | 0.104 | 6.176 | 0.237 | 0.559 | 0.376 | 0.000 | 18.620 | 8.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 351 | 216 | 183 | 306 | 0 | 337 | 888 |
N.S. | 1 | 1.00 | 1.74 | 1.07 | 0.91 | 1.51 | 0.00 | 1.67 | 4.40 |
time (sec) |
N/A | 0.126 | 0.746 | 0.248 | 0.504 | 0.395 | 0.000 | 11.451 | 11.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 141 | 206 | 162 | 194 | 0 | 0 | 366 |
N.S. |
1 | 1.00 | 0.94 | 1.37 | 1.08 | 1.29 | 0.00 | 0.00 | 2.44 |
time (sec) |
N/A | 0.163 | 0.175 | 0.194 | 0.293 | 0.375 | 0.000 | 0.000 | 6.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 90 | 110 | 113 | 116 | 0 | 55225 | 226 |
N.S. | 1 | 1.00 | 0.86 | 1.05 | 1.08 | 1.10 | 0.00 | 525.95 | 2.15 |
time (sec) |
N/A | 0.078 | 0.129 | 0.192 | 0.280 | 0.377 | 0.000 | 31.933 | 6.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 56 | 57 | 66 | 0 | 58 | 118 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.85 | 0.99 | 0.00 | 0.87 | 1.76 |
time (sec) |
N/A | 0.032 | 0.019 | 0.125 | 0.286 | 0.394 | 0.000 | 6.381 | 6.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 97 | 118 | 98 | 153 | 0 | 131 | 312 |
N.S. | 1 | 1.00 | 0.84 | 1.02 | 0.84 | 1.32 | 0.00 | 1.13 | 2.69 |
time (sec) |
N/A | 0.068 | 0.201 | 0.261 | 0.337 | 0.390 | 0.000 | 4.234 | 6.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 144 | 212 | 142 | 225 | 0 | 185 | 424 |
N.S. | 1 | 1.00 | 0.87 | 1.28 | 0.86 | 1.36 | 0.00 | 1.12 | 2.57 |
time (sec) |
N/A | 0.104 | 0.696 | 0.246 | 0.447 | 0.370 | 0.000 | 3.299 | 6.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 226 | 268 | 167 | 157 | 0 | 0 | 297 |
N.S. |
1 | 1.00 | 1.03 | 1.22 | 0.76 | 0.71 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.166 | 0.462 | 0.243 | 0.640 | 0.344 | 0.000 | 0.000 | 9.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 113 | 169 | 119 | 116 | 0 | 0 | 249 |
N.S. |
1 | 1.00 | 0.77 | 1.16 | 0.82 | 0.79 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A | 0.130 | 0.522 | 0.269 | 0.591 | 0.382 | 0.000 | 0.000 | 9.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 143 | 96 | 95 | 143 | 0 | 199 | 289 |
N.S. | 1 | 1.00 | 1.40 | 0.94 | 0.93 | 1.40 | 0.00 | 1.95 | 2.83 |
time (sec) |
N/A | 0.081 | 0.873 | 0.154 | 0.617 | 0.399 | 0.000 | 12.658 | 6.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 355 | 186 | 187 | 293 | 0 | 421 | 405 |
N.S. | 1 | 1.00 | 1.83 | 0.96 | 0.96 | 1.51 | 0.00 | 2.17 | 2.09 |
time (sec) |
N/A | 0.139 | 6.184 | 0.267 | 0.515 | 0.375 | 0.000 | 6.464 | 6.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 346 | 289 | 252 | 412 | 0 | 471 | 507 |
N.S. | 1 | 1.00 | 1.19 | 0.99 | 0.87 | 1.42 | 0.00 | 1.62 | 1.74 |
time (sec) |
N/A | 0.172 | 1.727 | 0.291 | 0.657 | 0.399 | 0.000 | 9.466 | 7.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 184 | 189 | 288 | 261 | 0 | 343 | 498 |
N.S. | 1 | 1.00 | 0.90 | 0.93 | 1.41 | 1.28 | 0.00 | 1.68 | 2.44 |
time (sec) |
N/A | 0.283 | 0.929 | 0.430 | 0.307 | 0.486 | 0.000 | 15.798 | 7.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 117 | 121 | 142 | 157 | 0 | 177 | 217 |
N.S. | 1 | 1.00 | 0.93 | 0.96 | 1.13 | 1.25 | 0.00 | 1.40 | 1.72 |
time (sec) |
N/A | 0.143 | 0.337 | 0.317 | 0.291 | 0.392 | 0.000 | 6.650 | 7.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 87 | 71 | 65 | 63 | 0 | 71 | 91 |
N.S. | 1 | 1.00 | 1.18 | 0.96 | 0.88 | 0.85 | 0.00 | 0.96 | 1.23 |
time (sec) |
N/A | 0.051 | 0.061 | 0.236 | 0.282 | 0.353 | 0.000 | 7.248 | 6.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 34 | 33 | 33 | 31 | 0 | 35 | 48 |
N.S. | 1 | 1.00 | 1.00 | 0.97 | 0.97 | 0.91 | 0.00 | 1.03 | 1.41 |
time (sec) |
N/A | 0.030 | 0.015 | 0.120 | 0.286 | 0.356 | 0.000 | 6.181 | 6.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 65 | 76 | 77 | 118 | 0 | 114 | 144 |
N.S. | 1 | 1.00 | 0.77 | 0.90 | 0.92 | 1.40 | 0.00 | 1.36 | 1.71 |
time (sec) |
N/A | 0.062 | 0.111 | 0.286 | 0.368 | 0.363 | 0.000 | 8.086 | 6.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 115 | 137 | 139 | 271 | 0 | 201 | 281 |
N.S. | 1 | 1.00 | 0.78 | 0.93 | 0.94 | 1.83 | 0.00 | 1.36 | 1.90 |
time (sec) |
N/A | 0.101 | 0.702 | 0.373 | 0.389 | 0.372 | 0.000 | 8.129 | 6.409 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 195 | 214 | 0 | 476 | 0 | 241 | 372 |
N.S. |
1 | 1.00 | 1.10 | 1.21 | 0.00 | 2.69 | 0.00 | 1.36 | 2.10 |
time (sec) |
N/A | 0.177 | 0.951 | 0.367 | 0.000 | 0.397 | 0.000 | 4.785 | 9.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 152 | 112 | 0 | 305 | 0 | 107 | 148 |
N.S. |
1 | 1.00 | 1.58 | 1.17 | 0.00 | 3.18 | 0.00 | 1.11 | 1.54 |
time (sec) |
N/A | 0.075 | 0.137 | 0.273 | 0.000 | 0.366 | 0.000 | 8.308 | 6.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 108 | 109 | 0 | 314 | 0 | 129 | 204 |
N.S. |
1 | 1.00 | 1.35 | 1.36 | 0.00 | 3.92 | 0.00 | 1.61 | 2.55 |
time (sec) |
N/A | 0.173 | 0.171 | 0.306 | 0.000 | 0.412 | 0.000 | 8.954 | 7.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 350 | 223 | 0 | 633 | 0 | 273 | 654 |
N.S. |
1 | 1.00 | 2.27 | 1.45 | 0.00 | 4.11 | 0.00 | 1.77 | 4.25 |
time (sec) |
N/A | 0.294 | 6.129 | 0.405 | 0.000 | 0.480 | 0.000 | 4.708 | 7.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 504 | 390 | 0 | 1079 | 0 | 490 | 1099 |
N.S. |
1 | 1.00 | 1.64 | 1.27 | 0.00 | 3.51 | 0.00 | 1.60 | 3.58 |
time (sec) |
N/A | 0.722 | 0.947 | 0.500 | 0.000 | 0.672 | 0.000 | 4.398 | 7.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 204 | 205 | 505 | 555 | 0 | 494 | 755 |
N.S. | 1 | 1.00 | 0.84 | 0.85 | 2.09 | 2.29 | 0.00 | 2.04 | 3.12 |
time (sec) |
N/A | 0.534 | 4.251 | 0.588 | 0.400 | 0.550 | 0.000 | 7.516 | 7.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 145 | 143 | 274 | 388 | 0 | 248 | 351 |
N.S. | 1 | 1.00 | 0.90 | 0.89 | 1.70 | 2.41 | 0.00 | 1.54 | 2.18 |
time (sec) |
N/A | 0.238 | 0.529 | 0.460 | 0.325 | 0.454 | 0.000 | 6.885 | 7.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 162 | 98 | 124 | 195 | 0 | 156 | 158 |
N.S. | 1 | 1.00 | 1.49 | 0.90 | 1.14 | 1.79 | 0.00 | 1.43 | 1.45 |
time (sec) |
N/A | 0.067 | 0.206 | 0.362 | 0.296 | 0.398 | 0.000 | 5.150 | 6.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 42 | 49 | 47 | 69 | 0 | 51 | 105 |
N.S. | 1 | 1.00 | 0.79 | 0.92 | 0.89 | 1.30 | 0.00 | 0.96 | 1.98 |
time (sec) |
N/A | 0.039 | 0.057 | 0.184 | 0.291 | 0.367 | 0.000 | 4.410 | 6.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 96 | 105 | 116 | 259 | 0 | 165 | 235 |
N.S. | 1 | 1.00 | 0.84 | 0.92 | 1.02 | 2.27 | 0.00 | 1.45 | 2.06 |
time (sec) |
N/A | 0.078 | 0.422 | 0.359 | 0.273 | 0.394 | 0.000 | 5.940 | 6.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 187 | 172 | 189 | 542 | 0 | 278 | 439 |
N.S. | 1 | 1.00 | 0.99 | 0.91 | 1.01 | 2.88 | 0.00 | 1.48 | 2.34 |
time (sec) |
N/A | 0.127 | 6.117 | 0.428 | 0.290 | 0.394 | 0.000 | 6.489 | 6.900 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 341 | 248 | 0 | 815 | 0 | 406 | 722 |
N.S. |
1 | 1.00 | 1.02 | 0.74 | 0.00 | 2.45 | 0.00 | 1.22 | 2.17 |
time (sec) |
N/A | 0.469 | 1.244 | 0.519 | 0.000 | 0.447 | 0.000 | 6.595 | 9.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 169 | 162 | 0 | 569 | 0 | 251 | 313 |
N.S. |
1 | 1.00 | 0.84 | 0.81 | 0.00 | 2.84 | 0.00 | 1.26 | 1.56 |
time (sec) |
N/A | 0.221 | 0.724 | 0.378 | 0.000 | 0.398 | 0.000 | 4.168 | 8.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 139 | 156 | 0 | 768 | 0 | 218 | 1616 |
N.S. |
1 | 1.00 | 1.21 | 1.36 | 0.00 | 6.68 | 0.00 | 1.90 | 14.05 |
time (sec) |
N/A | 0.294 | 0.521 | 0.420 | 0.000 | 0.450 | 0.000 | 21.818 | 8.317 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 403 | 287 | 0 | 1149 | 0 | 356 | 973 |
N.S. |
1 | 1.00 | 1.69 | 1.21 | 0.00 | 4.83 | 0.00 | 1.50 | 4.09 |
time (sec) |
N/A | 0.467 | 6.174 | 0.488 | 0.000 | 0.462 | 0.000 | 17.408 | 6.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 424 | 424 | 361 | 465 | 0 | 2011 | 0 | 596 | 1424 |
N.S. |
1 | 1.00 | 0.85 | 1.10 | 0.00 | 4.74 | 0.00 | 1.41 | 3.36 |
time (sec) |
N/A | 1.003 | 1.041 | 0.628 | 0.000 | 0.678 | 0.000 | 9.684 | 6.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 321 | 321 | 304 | 263 | 730 | 981 | 0 | 585 | 1229 |
N.S. | 1 | 1.00 | 0.95 | 0.82 | 2.27 | 3.06 | 0.00 | 1.82 | 3.83 |
time (sec) |
N/A | 0.798 | 6.239 | 0.977 | 0.632 | 0.751 | 0.000 | 14.521 | 10.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 196 | 197 | 441 | 788 | 0 | 464 | 690 |
N.S. | 1 | 1.00 | 0.84 | 0.85 | 1.90 | 3.40 | 0.00 | 2.00 | 2.97 |
time (sec) |
N/A | 0.398 | 1.470 | 0.625 | 0.314 | 0.533 | 0.000 | 12.511 | 7.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 213 | 134 | 228 | 462 | 0 | 257 | 304 |
N.S. | 1 | 1.00 | 1.43 | 0.90 | 1.53 | 3.10 | 0.00 | 1.72 | 2.04 |
time (sec) |
N/A | 0.101 | 1.459 | 0.516 | 0.501 | 0.420 | 0.000 | 13.360 | 6.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 60 | 66 | 81 | 154 | 0 | 69 | 369 |
N.S. | 1 | 1.00 | 0.80 | 0.88 | 1.08 | 2.05 | 0.00 | 0.92 | 4.92 |
time (sec) |
N/A | 0.044 | 0.185 | 0.276 | 0.547 | 0.369 | 0.000 | 13.900 | 6.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 121 | 131 | 156 | 404 | 0 | 154 | 334 |
N.S. | 1 | 1.00 | 0.83 | 0.90 | 1.08 | 2.79 | 0.00 | 1.06 | 2.30 |
time (sec) |
N/A | 0.097 | 0.626 | 0.449 | 0.504 | 0.401 | 0.000 | 7.393 | 6.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 195 | 207 | 236 | 754 | 0 | 327 | 563 |
N.S. | 1 | 1.00 | 0.88 | 0.94 | 1.07 | 3.41 | 0.00 | 1.48 | 2.55 |
time (sec) |
N/A | 0.159 | 4.893 | 0.570 | 0.481 | 0.417 | 0.000 | 8.095 | 7.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 474 | 474 | 351 | 354 | 0 | 1249 | 0 | 632 | 1099 |
N.S. |
1 | 1.00 | 0.74 | 0.75 | 0.00 | 2.64 | 0.00 | 1.33 | 2.32 |
time (sec) |
N/A | 0.664 | 0.670 | 0.793 | 0.000 | 0.430 | 0.000 | 12.292 | 11.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 212 | 258 | 0 | 934 | 0 | 384 | 627 |
N.S. |
1 | 1.00 | 0.61 | 0.74 | 0.00 | 2.67 | 0.00 | 1.10 | 1.79 |
time (sec) |
N/A | 0.404 | 2.093 | 0.537 | 0.000 | 0.439 | 0.000 | 6.093 | 10.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 195 | 299 | 0 | 1394 | 0 | 339 | 1762 |
N.S. |
1 | 1.00 | 0.97 | 1.48 | 0.00 | 6.90 | 0.00 | 1.68 | 8.72 |
time (sec) |
N/A | 0.526 | 3.385 | 0.584 | 0.000 | 0.677 | 0.000 | 13.761 | 7.853 |