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 | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 308 | 244 | 230 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.76 | 0.71 | 0.00 | 0.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 10.373 | 0.664 | 0.000 | 0.127 | 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 | 175 | 170 | 192 | 173 | 0 | 38 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.10 | 0.99 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 10.290 | 0.672 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 149 | 169 | 157 | 0 | 25 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.19 | 1.11 | 0.00 | 0.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 21.426 | 0.681 | 0.000 | 0.180 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 22 | 17 | 0 | 18 | 9 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 0.96 | 0.74 | 0.00 | 0.78 | 0.39 |
time (sec) |
N/A | 0.163 | 10.020 | 0.619 | 0.300 | 0.267 | 0.000 | 0.302 | 0.150 |
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 | 253 | 268 | 375 | 202 | 0 | 9 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.48 | 0.80 | 0.00 | 0.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.344 | 21.738 | 0.683 | 0.000 | 0.079 | 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 | 110 | 110 | 148 | 137 | 0 | 6 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.35 | 1.25 | 0.00 | 0.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 20.117 | 0.609 | 0.000 | 0.077 | 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 | 42 | 42 | 29 | 33 | 0 | 43 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.79 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 4.921 | 0.583 | 0.000 | 0.278 | 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 | 282 | 287 | 400 | 215 | 0 | 31 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.42 | 0.76 | 0.00 | 0.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 10.424 | 0.638 | 0.000 | 0.075 | 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 | 146 | 151 | 171 | 159 | 0 | 30 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.17 | 1.09 | 0.00 | 0.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 10.415 | 0.660 | 0.000 | 0.091 | 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 | 137 | 149 | 161 | 157 | 0 | 38 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.18 | 1.15 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 21.379 | 0.759 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 17 | 24 | 0 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 0.74 | 1.04 | 0.00 | 0.00 | 0.74 |
time (sec) |
N/A | 0.165 | 10.023 | 0.571 | 0.286 | 0.251 | 0.000 | 0.000 | 12.328 |
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 | 282 | 288 | 402 | 216 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.43 | 0.77 | 0.00 | 0.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 10.418 | 0.741 | 0.000 | 0.076 | 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 | 137 | 149 | 216 | 157 | 0 | 37 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.58 | 1.15 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 20.267 | 0.715 | 0.000 | 0.121 | 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 | 66 | 56 | 81 | 43 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 1.23 | 0.65 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 11.231 | 0.666 | 0.000 | 0.345 | 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 | 316 | 308 | 409 | 228 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.29 | 0.72 | 0.00 | 0.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.391 | 10.489 | 0.750 | 0.000 | 0.119 | 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 | 170 | 172 | 170 | 169 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.00 | 0.99 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 10.258 | 0.675 | 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 | 168 | 168 | 178 | 167 | 0 | 56 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.99 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 21.354 | 0.722 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 24 | 29 | 0 | 0 | 82 |
N.S. |
1 | 1.00 | 1.00 | 0.78 | 1.04 | 1.26 | 0.00 | 0.00 | 3.57 |
time (sec) |
N/A | 0.169 | 10.037 | 0.664 | 0.290 | 0.263 | 0.000 | 0.000 | 12.444 |
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 | 318 | 309 | 409 | 228 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.29 | 0.72 | 0.00 | 0.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.418 | 10.484 | 0.855 | 0.000 | 0.078 | 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 | 168 | 168 | 178 | 167 | 0 | 56 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.99 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 20.335 | 0.731 | 0.000 | 0.078 | 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 | 96 | 69 | 95 | 60 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 0.72 | 0.99 | 0.62 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 10.095 | 0.700 | 0.000 | 0.261 | 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 | 349 | 329 | 414 | 240 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.19 | 0.69 | 0.00 | 0.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 10.542 | 0.710 | 0.000 | 0.082 | 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 | 203 | 193 | 183 | 179 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.90 | 0.88 | 0.00 | 0.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 10.426 | 0.681 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 102 | 78 | 68 | 75 | 134 | 88 | 71 | 84 |
N.S. |
1 | 1.05 | 0.80 | 0.70 | 0.77 | 1.38 | 0.91 | 0.73 | 0.87 |
time (sec) |
N/A | 0.269 | 0.039 | 0.763 | 0.278 | 0.290 | 0.108 | 0.269 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 490 | 498 | 627 | 594 | 0 | 5507 | 0 | 1200 | 13879 |
N.S. |
1 | 1.02 | 1.28 | 1.21 | 0.00 | 11.24 | 0.00 | 2.45 | 28.32 |
time (sec) |
N/A | 7.953 | 1.957 | 0.826 | 0.000 | 0.987 | 0.000 | 0.379 | 14.523 |
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 | 326 | 404 | 465 | 504 | 0 | 4245 | 0 | 1074 | 11143 |
N.S. |
1 | 1.24 | 1.43 | 1.55 | 0.00 | 13.02 | 0.00 | 3.29 | 34.18 |
time (sec) |
N/A | 4.161 | 1.368 | 0.740 | 0.000 | 0.947 | 0.000 | 0.376 | 14.182 |
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 | 316 | 321 | 375 | 425 | 0 | 2966 | 0 | 897 | 8171 |
N.S. |
1 | 1.02 | 1.19 | 1.34 | 0.00 | 9.39 | 0.00 | 2.84 | 25.86 |
time (sec) |
N/A | 2.018 | 0.987 | 0.674 | 0.000 | 0.498 | 0.000 | 0.365 | 13.250 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 293 | 341 | 326 | 0 | 1721 | 0 | 758 | 5664 |
N.S. |
1 | 1.02 | 1.19 | 1.14 | 0.00 | 6.00 | 0.00 | 2.64 | 19.74 |
time (sec) |
N/A | 1.068 | 0.949 | 0.684 | 0.000 | 0.404 | 0.000 | 0.344 | 13.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 233 | 252 | 222 | 0 | 715 | 0 | 445 | 709 |
N.S. |
1 | 1.18 | 1.27 | 1.12 | 0.00 | 3.61 | 0.00 | 2.25 | 3.58 |
time (sec) |
N/A | 0.370 | 0.100 | 0.553 | 0.000 | 0.517 | 0.000 | 0.317 | 12.289 |
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 | 275 | 283 | 266 | 291 | 0 | 2446 | 0 | 719 | 10894 |
N.S. |
1 | 1.03 | 0.97 | 1.06 | 0.00 | 8.89 | 0.00 | 2.61 | 39.61 |
time (sec) |
N/A | 0.892 | 0.796 | 0.578 | 0.000 | 0.538 | 0.000 | 0.319 | 16.579 |
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 | 368 | 371 | 337 | 373 | 0 | 4860 | 0 | 776 | 19887 |
N.S. |
1 | 1.01 | 0.92 | 1.01 | 0.00 | 13.21 | 0.00 | 2.11 | 54.04 |
time (sec) |
N/A | 2.404 | 1.231 | 0.646 | 0.000 | 6.027 | 0.000 | 0.343 | 16.142 |
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 | 531 | 550 | 433 | 489 | 0 | 7425 | 0 | 1043 | 33838 |
N.S. |
1 | 1.04 | 0.82 | 0.92 | 0.00 | 13.98 | 0.00 | 1.96 | 63.73 |
time (sec) |
N/A | 2.073 | 1.966 | 0.719 | 0.000 | 104.003 | 0.000 | 0.361 | 17.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 650 | 659 | 901 | 762 | 0 | 14340 | 0 | 1612 | 31485 |
N.S. |
1 | 1.01 | 1.39 | 1.17 | 0.00 | 22.06 | 0.00 | 2.48 | 48.44 |
time (sec) |
N/A | 2.191 | 3.094 | 0.904 | 0.000 | 17.368 | 0.000 | 0.404 | 16.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 581 | 589 | 755 | 680 | 0 | 11459 | 0 | 1397 | 25497 |
N.S. |
1 | 1.01 | 1.30 | 1.17 | 0.00 | 19.72 | 0.00 | 2.40 | 43.88 |
time (sec) |
N/A | 8.091 | 2.509 | 0.829 | 0.000 | 7.340 | 0.000 | 0.402 | 16.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 441 | 447 | 537 | 542 | 0 | 8530 | 0 | 1195 | 19465 |
N.S. |
1 | 1.01 | 1.22 | 1.23 | 0.00 | 19.34 | 0.00 | 2.71 | 44.14 |
time (sec) |
N/A | 1.571 | 1.717 | 0.736 | 0.000 | 3.548 | 0.000 | 0.372 | 14.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 453 | 386 | 493 | 473 | 0 | 5572 | 0 | 986 | 13841 |
N.S. |
1 | 0.85 | 1.09 | 1.04 | 0.00 | 12.30 | 0.00 | 2.18 | 30.55 |
time (sec) |
N/A | 0.882 | 1.753 | 0.704 | 0.000 | 1.653 | 0.000 | 0.362 | 13.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 322 | 300 | 364 | 344 | 0 | 2770 | 0 | 797 | 8334 |
N.S. |
1 | 0.93 | 1.13 | 1.07 | 0.00 | 8.60 | 0.00 | 2.48 | 25.88 |
time (sec) |
N/A | 0.598 | 0.275 | 0.638 | 0.000 | 1.111 | 0.000 | 0.331 | 13.556 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 340 | 348 | 371 | 370 | 0 | 5167 | 0 | 833 | 20897 |
N.S. |
1 | 1.02 | 1.09 | 1.09 | 0.00 | 15.20 | 0.00 | 2.45 | 61.46 |
time (sec) |
N/A | 1.095 | 1.304 | 0.628 | 0.000 | 4.767 | 0.000 | 0.333 | 18.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 403 | 417 | 416 | 409 | 0 | 8653 | 0 | 890 | 29890 |
N.S. |
1 | 1.03 | 1.03 | 1.01 | 0.00 | 21.47 | 0.00 | 2.21 | 74.17 |
time (sec) |
N/A | 1.752 | 1.587 | 0.740 | 0.000 | 24.310 | 0.000 | 0.359 | 17.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 607 | 626 | 560 | 560 | 0 | 14417 | 0 | 1129 | 44649 |
N.S. |
1 | 1.03 | 0.92 | 0.92 | 0.00 | 23.75 | 0.00 | 1.86 | 73.56 |
time (sec) |
N/A | 2.464 | 2.736 | 0.913 | 0.000 | 213.706 | 0.000 | 0.383 | 18.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.501 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-2) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 320 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.705 | 0.903 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 237 | 237 | 289 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 0.403 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 183 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 0.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 163 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 0.183 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 207 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.493 | 0.349 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 246 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.574 | 0.403 | 0.000 | 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 | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 134 | 155 | 175 | 176 | 150 | 190 | 351 |
N.S. |
1 | 1.00 | 0.95 | 1.10 | 1.24 | 1.25 | 1.06 | 1.35 | 2.49 |
time (sec) |
N/A | 0.366 | 0.054 | 0.424 | 0.198 | 0.380 | 0.278 | 0.269 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 103 | 122 | 138 | 139 | 109 | 149 | 197 |
N.S. |
1 | 1.00 | 0.94 | 1.12 | 1.27 | 1.28 | 1.00 | 1.37 | 1.81 |
time (sec) |
N/A | 0.307 | 0.033 | 0.440 | 0.196 | 0.364 | 0.225 | 0.265 | 12.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 73 | 88 | 97 | 98 | 70 | 105 | 127 |
N.S. |
1 | 1.00 | 1.12 | 1.35 | 1.49 | 1.51 | 1.08 | 1.62 | 1.95 |
time (sec) |
N/A | 0.229 | 0.024 | 0.422 | 0.223 | 0.568 | 0.187 | 0.275 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 43 | 59 | 63 | 64 | 46 | 63 | 65 |
N.S. |
1 | 1.00 | 0.86 | 1.18 | 1.26 | 1.28 | 0.92 | 1.26 | 1.30 |
time (sec) |
N/A | 0.204 | 0.016 | 0.377 | 0.195 | 0.280 | 0.130 | 0.285 | 11.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 65 | 55 | 82 | 82 | 76 | 112 | 84 | 81 |
N.S. |
1 | 1.05 | 0.89 | 1.32 | 1.32 | 1.23 | 1.81 | 1.35 | 1.31 |
time (sec) |
N/A | 0.233 | 0.019 | 0.402 | 0.199 | 0.286 | 0.286 | 0.269 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 82 | 112 | 113 | 165 | 182 | 115 | 109 |
N.S. |
1 | 1.00 | 0.95 | 1.30 | 1.31 | 1.92 | 2.12 | 1.34 | 1.27 |
time (sec) |
N/A | 0.271 | 0.032 | 0.467 | 0.192 | 0.303 | 0.474 | 0.283 | 12.020 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 87 | 138 | 149 | 271 | 185 | 149 | 100 |
N.S. |
1 | 1.00 | 1.00 | 1.59 | 1.71 | 3.11 | 2.13 | 1.71 | 1.15 |
time (sec) |
N/A | 0.267 | 0.053 | 0.453 | 0.189 | 0.307 | 0.453 | 0.281 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 122 | 177 | 206 | 400 | 248 | 186 | 152 |
N.S. |
1 | 1.00 | 1.08 | 1.57 | 1.82 | 3.54 | 2.19 | 1.65 | 1.35 |
time (sec) |
N/A | 0.301 | 0.041 | 0.467 | 0.199 | 0.278 | 0.587 | 0.285 | 12.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 142 | 199 | 236 | 511 | 282 | 213 | 180 |
N.S. |
1 | 1.00 | 1.02 | 1.43 | 1.70 | 3.68 | 2.03 | 1.53 | 1.29 |
time (sec) |
N/A | 0.321 | 0.056 | 0.471 | 0.196 | 0.296 | 0.680 | 0.300 | 0.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 226 | 259 | 258 | 328 | 250 | 273 | 1029 |
N.S. |
1 | 1.00 | 1.04 | 1.19 | 1.18 | 1.50 | 1.15 | 1.25 | 4.72 |
time (sec) |
N/A | 0.491 | 0.081 | 0.433 | 0.187 | 0.295 | 0.510 | 0.334 | 11.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 185 | 217 | 218 | 288 | 199 | 231 | 565 |
N.S. |
1 | 1.00 | 1.05 | 1.23 | 1.23 | 1.63 | 1.12 | 1.31 | 3.19 |
time (sec) |
N/A | 0.432 | 0.074 | 0.440 | 0.197 | 0.328 | 0.460 | 0.362 | 11.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 154 | 177 | 182 | 251 | 162 | 191 | 316 |
N.S. |
1 | 1.00 | 1.05 | 1.21 | 1.25 | 1.72 | 1.11 | 1.31 | 2.16 |
time (sec) |
N/A | 0.361 | 0.057 | 0.374 | 0.188 | 0.290 | 0.390 | 0.628 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 115 | 133 | 141 | 206 | 119 | 148 | 185 |
N.S. |
1 | 1.00 | 1.07 | 1.24 | 1.32 | 1.93 | 1.11 | 1.38 | 1.73 |
time (sec) |
N/A | 0.304 | 0.057 | 0.425 | 0.196 | 0.278 | 0.326 | 0.270 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 83 | 93 | 104 | 157 | 94 | 108 | 116 |
N.S. |
1 | 1.00 | 1.06 | 1.19 | 1.33 | 2.01 | 1.21 | 1.38 | 1.49 |
time (sec) |
N/A | 0.263 | 0.040 | 0.431 | 0.190 | 0.270 | 0.279 | 0.278 | 12.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 46 | 63 | 69 | 95 | 61 | 68 | 72 |
N.S. |
1 | 1.00 | 0.92 | 1.26 | 1.38 | 1.90 | 1.22 | 1.36 | 1.44 |
time (sec) |
N/A | 0.234 | 0.030 | 0.424 | 0.187 | 0.270 | 0.187 | 0.265 | 11.898 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 91 | 112 | 114 | 168 | 182 | 117 | 111 |
N.S. |
1 | 1.00 | 1.06 | 1.30 | 1.33 | 1.95 | 2.12 | 1.36 | 1.29 |
time (sec) |
N/A | 0.268 | 0.031 | 0.450 | 0.189 | 0.282 | 0.471 | 0.265 | 11.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 89 | 85 | 109 | 111 | 155 | 156 | 114 | 115 |
N.S. |
1 | 1.20 | 1.15 | 1.47 | 1.50 | 2.09 | 2.11 | 1.54 | 1.55 |
time (sec) |
N/A | 0.278 | 0.027 | 0.431 | 0.196 | 0.258 | 0.333 | 0.278 | 12.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 139 | 180 | 212 | 417 | 279 | 201 | 198 |
N.S. |
1 | 1.00 | 1.15 | 1.49 | 1.75 | 3.45 | 2.31 | 1.66 | 1.64 |
time (sec) |
N/A | 0.312 | 0.064 | 0.460 | 0.195 | 0.350 | 0.579 | 0.288 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 171 | 162 | 197 | 337 | 241 | 227 | 148 |
N.S. |
1 | 1.00 | 1.17 | 1.11 | 1.35 | 2.31 | 1.65 | 1.55 | 1.01 |
time (sec) |
N/A | 0.352 | 0.064 | 0.458 | 0.195 | 0.366 | 0.628 | 0.273 | 12.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 195 | 241 | 298 | 648 | 376 | 264 | 274 |
N.S. |
1 | 1.00 | 1.10 | 1.35 | 1.67 | 3.64 | 2.11 | 1.48 | 1.54 |
time (sec) |
N/A | 0.399 | 0.091 | 0.415 | 0.200 | 0.351 | 0.804 | 0.280 | 11.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 229 | 278 | 342 | 693 | 427 | 308 | 314 |
N.S. |
1 | 1.00 | 1.09 | 1.32 | 1.63 | 3.30 | 2.03 | 1.47 | 1.50 |
time (sec) |
N/A | 0.463 | 0.118 | 0.477 | 0.216 | 0.344 | 0.935 | 0.294 | 0.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 193 | 216 | 227 | 336 | 219 | 226 | 375 |
N.S. |
1 | 1.00 | 1.08 | 1.21 | 1.27 | 1.88 | 1.22 | 1.26 | 2.09 |
time (sec) |
N/A | 0.426 | 0.063 | 0.428 | 0.198 | 0.624 | 0.689 | 0.277 | 0.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 157 | 174 | 188 | 294 | 178 | 185 | 240 |
N.S. |
1 | 1.00 | 1.05 | 1.17 | 1.26 | 1.97 | 1.19 | 1.24 | 1.61 |
time (sec) |
N/A | 0.389 | 0.056 | 0.441 | 0.190 | 0.355 | 0.599 | 0.274 | 0.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 118 | 133 | 149 | 241 | 151 | 143 | 161 |
N.S. |
1 | 1.00 | 1.00 | 1.13 | 1.26 | 2.04 | 1.28 | 1.21 | 1.36 |
time (sec) |
N/A | 0.323 | 0.057 | 0.424 | 0.195 | 0.362 | 0.530 | 0.268 | 11.943 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 93 | 96 | 105 | 159 | 102 | 94 | 107 |
N.S. |
1 | 1.00 | 1.15 | 1.19 | 1.30 | 1.96 | 1.26 | 1.16 | 1.32 |
time (sec) |
N/A | 0.273 | 0.026 | 0.427 | 0.184 | 0.320 | 0.417 | 0.271 | 11.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 49 | 69 | 81 | 100 | 83 | 72 | 80 |
N.S. |
1 | 1.00 | 0.80 | 1.13 | 1.33 | 1.64 | 1.36 | 1.18 | 1.31 |
time (sec) |
N/A | 0.223 | 0.018 | 0.460 | 0.189 | 0.264 | 0.252 | 0.290 | 0.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 90 | 152 | 150 | 271 | 185 | 143 | 103 |
N.S. |
1 | 1.00 | 1.02 | 1.73 | 1.70 | 3.08 | 2.10 | 1.62 | 1.17 |
time (sec) |
N/A | 0.269 | 0.053 | 0.414 | 0.199 | 0.272 | 0.456 | 0.270 | 0.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 140 | 183 | 211 | 417 | 277 | 200 | 198 |
N.S. |
1 | 1.00 | 1.15 | 1.50 | 1.73 | 3.42 | 2.27 | 1.64 | 1.62 |
time (sec) |
N/A | 0.316 | 0.065 | 0.440 | 0.194 | 0.289 | 0.578 | 0.270 | 11.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 158 | 110 | 135 | 152 | 252 | 144 | 146 | 114 |
N.S. |
1 | 1.24 | 0.87 | 1.06 | 1.20 | 1.98 | 1.13 | 1.15 | 0.90 |
time (sec) |
N/A | 0.383 | 0.030 | 0.430 | 0.190 | 0.274 | 0.454 | 0.276 | 0.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 197 | 245 | 308 | 662 | 321 | 277 | 249 |
N.S. |
1 | 1.00 | 1.05 | 1.30 | 1.64 | 3.52 | 1.71 | 1.47 | 1.32 |
time (sec) |
N/A | 0.407 | 0.097 | 0.467 | 0.192 | 0.309 | 0.822 | 0.279 | 11.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 235 | 235 | 244 | 286 | 359 | 793 | 372 | 335 | 296 |
N.S. |
1 | 1.00 | 1.04 | 1.22 | 1.53 | 3.37 | 1.58 | 1.43 | 1.26 |
time (sec) |
N/A | 0.481 | 0.107 | 0.494 | 0.204 | 0.353 | 0.926 | 0.269 | 11.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 298 | 301 | 604 | 1603 | 807 | 0 | 969 | 0 |
N.S. |
1 | 1.11 | 1.12 | 2.25 | 5.96 | 3.00 | 0.00 | 3.60 | 0.00 |
time (sec) |
N/A | 1.446 | 3.378 | 1.138 | 0.290 | 0.329 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 236 | 240 | 481 | 1190 | 624 | 0 | 757 | 0 |
N.S. |
1 | 1.10 | 1.12 | 2.24 | 5.53 | 2.90 | 0.00 | 3.52 | 0.00 |
time (sec) |
N/A | 1.026 | 1.131 | 0.895 | 0.287 | 0.402 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 202 | 157 | 688 | 903 | 454 | 0 | 560 | 0 |
N.S. |
1 | 1.10 | 0.86 | 3.76 | 4.93 | 2.48 | 0.00 | 3.06 | 0.00 |
time (sec) |
N/A | 0.656 | 0.895 | 0.647 | 0.280 | 0.334 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 156 | 105 | 126 | 583 | 279 | 0 | 370 | 125 |
N.S. |
1 | 1.08 | 0.72 | 0.87 | 4.02 | 1.92 | 0.00 | 2.55 | 0.86 |
time (sec) |
N/A | 0.331 | 0.562 | 0.641 | 0.193 | 0.311 | 0.000 | 0.304 | 12.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 113 | 77 | 80 | 373 | 183 | 0 | 276 | 79 |
N.S. |
1 | 0.97 | 0.66 | 0.68 | 3.19 | 1.56 | 0.00 | 2.36 | 0.68 |
time (sec) |
N/A | 0.224 | 0.475 | 0.551 | 0.198 | 0.316 | 0.000 | 0.306 | 12.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 111 | 53 | 50 | 101 | 106 | 0 | 165 | 49 |
N.S. |
1 | 1.08 | 0.51 | 0.49 | 0.98 | 1.03 | 0.00 | 1.60 | 0.48 |
time (sec) |
N/A | 0.230 | 0.010 | 0.441 | 0.199 | 0.299 | 0.000 | 0.294 | 12.659 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 242 | 324 | 225 | 1667 | 0 | 1767 | 0 | 642 | 0 |
N.S. |
1 | 1.34 | 0.93 | 6.89 | 0.00 | 7.30 | 0.00 | 2.65 | 0.00 |
time (sec) |
N/A | 0.603 | 10.298 | 0.520 | 0.000 | 0.374 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 311 | 328 | 341 | 3289 | 0 | 3305 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.10 | 10.58 | 0.00 | 10.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.527 | 10.429 | 0.525 | 0.000 | 0.753 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 398 | 438 | 387 | 6396 | 0 | 5361 | 0 | 1401 | 0 |
N.S. |
1 | 1.10 | 0.97 | 16.07 | 0.00 | 13.47 | 0.00 | 3.52 | 0.00 |
time (sec) |
N/A | 3.005 | 10.993 | 0.484 | 0.000 | 2.536 | 0.000 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 113 | 118 | 111 | 0 | 499 | 155 | 101 | 124 |
N.S. |
1 | 1.01 | 1.05 | 0.99 | 0.00 | 4.46 | 1.38 | 0.90 | 1.11 |
time (sec) |
N/A | 0.345 | 0.224 | 0.473 | 0.000 | 0.295 | 5.872 | 0.295 | 0.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 282 | 243 | 326 | 324 | 502 | 380 | 222 |
N.S. |
1 | 1.00 | 1.18 | 1.01 | 1.36 | 1.35 | 2.09 | 1.58 | 0.92 |
time (sec) |
N/A | 0.424 | 0.176 | 0.460 | 0.182 | 0.287 | 0.998 | 0.282 | 0.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 177 | 155 | 197 | 197 | 311 | 243 | 159 |
N.S. |
1 | 1.00 | 1.01 | 0.89 | 1.13 | 1.13 | 1.78 | 1.39 | 0.91 |
time (sec) |
N/A | 0.348 | 0.114 | 0.451 | 0.187 | 0.281 | 0.857 | 0.278 | 12.185 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 94 | 79 | 104 | 100 | 165 | 132 | 100 |
N.S. |
1 | 1.00 | 0.83 | 0.70 | 0.92 | 0.88 | 1.46 | 1.17 | 0.88 |
time (sec) |
N/A | 0.280 | 0.065 | 0.424 | 0.192 | 0.268 | 0.717 | 0.276 | 0.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 44 | 40 | 53 | 40 | 70 | 53 | 44 |
N.S. |
1 | 1.00 | 0.72 | 0.66 | 0.87 | 0.66 | 1.15 | 0.87 | 0.72 |
time (sec) |
N/A | 0.201 | 0.033 | 0.402 | 0.184 | 0.277 | 0.352 | 0.281 | 11.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 106 | 92 | 82 | 0 | 297 | 143 | 109 | 107 |
N.S. |
1 | 1.02 | 0.88 | 0.79 | 0.00 | 2.86 | 1.38 | 1.05 | 1.03 |
time (sec) |
N/A | 0.293 | 0.194 | 0.684 | 0.000 | 0.290 | 1.789 | 0.268 | 0.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 164 | 133 | 138 | 0 | 539 | 0 | 151 | 128 |
N.S. |
1 | 1.34 | 1.09 | 1.13 | 0.00 | 4.42 | 0.00 | 1.24 | 1.05 |
time (sec) |
N/A | 0.338 | 0.388 | 0.475 | 0.000 | 0.297 | 0.000 | 0.279 | 11.969 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 221 | 166 | 166 | 0 | 896 | 0 | 285 | 224 |
N.S. |
1 | 1.24 | 0.93 | 0.93 | 0.00 | 5.03 | 0.00 | 1.60 | 1.26 |
time (sec) |
N/A | 0.394 | 0.636 | 0.500 | 0.000 | 0.297 | 0.000 | 0.284 | 12.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 278 | 247 | 334 | 333 | 420 | 465 | 292 |
N.S. |
1 | 1.00 | 1.17 | 1.04 | 1.40 | 1.40 | 1.76 | 1.95 | 1.23 |
time (sec) |
N/A | 0.404 | 0.196 | 0.478 | 0.196 | 0.283 | 11.707 | 0.278 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 177 | 154 | 205 | 206 | 264 | 277 | 199 |
N.S. |
1 | 1.00 | 1.02 | 0.89 | 1.18 | 1.19 | 1.53 | 1.60 | 1.15 |
time (sec) |
N/A | 0.337 | 0.143 | 0.477 | 0.197 | 0.260 | 4.815 | 0.269 | 11.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 92 | 86 | 112 | 110 | 150 | 137 | 111 |
N.S. |
1 | 1.00 | 0.83 | 0.77 | 1.01 | 0.99 | 1.35 | 1.23 | 1.00 |
time (sec) |
N/A | 0.262 | 0.067 | 0.428 | 0.199 | 0.273 | 1.969 | 0.281 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 43 | 39 | 54 | 49 | 75 | 56 | 44 |
N.S. |
1 | 1.00 | 0.73 | 0.66 | 0.92 | 0.83 | 1.27 | 0.95 | 0.75 |
time (sec) |
N/A | 0.202 | 0.035 | 0.416 | 0.209 | 0.279 | 0.626 | 0.279 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 114 | 112 | 0 | 492 | 151 | 114 | 141 |
N.S. |
1 | 1.00 | 1.02 | 1.00 | 0.00 | 4.39 | 1.35 | 1.02 | 1.26 |
time (sec) |
N/A | 0.321 | 0.302 | 0.477 | 0.000 | 0.282 | 4.858 | 0.282 | 12.195 |