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 | A | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 551 | 610 | 47 | 35 | 0 | 0 | 68 | 0 | 0 |
N.S. |
1 | 1.11 | 0.09 | 0.06 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 16.284 | 2.202 | 0.000 | 0.000 | 1.742 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | A | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 529 | 585 | 40 | 29 | 0 | 0 | 36 | 0 | 27 |
N.S. |
1 | 1.11 | 0.08 | 0.05 | 0.00 | 0.00 | 0.07 | 0.00 | 0.05 |
time (sec) |
N/A | 0.464 | 9.916 | 2.180 | 0.000 | 0.000 | 1.176 | 0.000 | 0.255 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 152 | 0 | 0 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.57 | 0.00 | 0.00 | 2.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.364 | 0.000 | 0.000 | 1.739 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 634 | 701 | 211 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.33 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.563 | 12.585 | 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 | C | F | F | F | F | F | F(-1) |
verified |
N/A | No | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 656 | 726 | 223 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 0.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.611 | 18.827 | 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 | C | C | F | F | A | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 564 | 645 | 60 | 49 | 0 | 0 | 148 | 0 | 0 |
N.S. |
1 | 1.14 | 0.11 | 0.09 | 0.00 | 0.00 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.516 | 10.043 | 2.298 | 0.000 | 0.000 | 3.327 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | A | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 557 | 625 | 51 | 43 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.12 | 0.09 | 0.08 | 0.00 | 0.00 | 0.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.507 | 10.036 | 2.367 | 0.000 | 0.000 | 2.354 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | A | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 531 | 596 | 42 | 37 | 0 | 0 | 39 | 0 | 28 |
N.S. |
1 | 1.12 | 0.08 | 0.07 | 0.00 | 0.00 | 0.07 | 0.00 | 0.05 |
time (sec) |
N/A | 0.462 | 9.881 | 2.491 | 0.000 | 0.000 | 1.388 | 0.000 | 9.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.469 | 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 | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 650 | 725 | 132 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.599 | 6.242 | 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 | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 676 | 754 | 134 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.614 | 9.205 | 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 | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 172 | 2447 | 0 | 282 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.65 | 23.53 | 0.00 | 2.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.388 | 23.860 | 0.000 | 3.205 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 168 | 2422 | 0 | 335 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.66 | 23.98 | 0.00 | 3.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.362 | 23.359 | 0.000 | 2.874 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 107 | 605 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.37 | 7.76 | 0.00 | 1.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.191 | 2.193 | 0.000 | 0.452 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 105 | 408 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.38 | 5.37 | 0.00 | 1.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.153 | 2.286 | 0.000 | 0.454 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 206 | 141 | 271 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.68 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 1.128 | 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 | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 126 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 7.611 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 273 | 233 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.499 | 8.457 | 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 | 200 | 200 | 108 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 20.654 | 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 | C | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 203 | 191 | 72 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 17.062 | 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 | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 379 | 954 | 472 | 1250 | 15990 | 2085 | 1144 |
N.S. |
1 | 1.00 | 1.70 | 4.28 | 2.12 | 5.61 | 71.70 | 9.35 | 5.13 |
time (sec) |
N/A | 0.421 | 0.777 | 2.247 | 0.198 | 0.335 | 4.026 | 0.311 | 10.111 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 176 | 420 | 235 | 520 | 5097 | 851 | 496 |
N.S. |
1 | 1.00 | 1.26 | 3.00 | 1.68 | 3.71 | 36.41 | 6.08 | 3.54 |
time (sec) |
N/A | 0.302 | 0.252 | 2.295 | 0.198 | 0.308 | 1.526 | 0.307 | 9.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 59 | 100 | 89 | 149 | 952 | 237 | 163 |
N.S. |
1 | 1.00 | 0.84 | 1.43 | 1.27 | 2.13 | 13.60 | 3.39 | 2.33 |
time (sec) |
N/A | 0.222 | 0.086 | 2.600 | 0.196 | 0.284 | 0.585 | 0.300 | 9.626 |
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 | 167 | 167 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 0.259 | 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 | 304 | 299 | 253 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.495 | 0.442 | 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 | 472 | 488 | 396 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.845 | 1.030 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 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 | 0.307 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.332 | 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 | 154 | 154 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.254 | 0.388 | 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 | 154 | 154 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.245 | 0.551 | 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 | 152 | 152 | 157 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 0.176 | 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 | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 178 | 185 | 223 | 0 | 0 | 0 | 437 | 0 | 0 |
N.S. |
1 | 1.04 | 1.25 | 0.00 | 0.00 | 0.00 | 2.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.353 | 0.468 | 0.000 | 0.000 | 0.000 | 6.488 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 133 | 126 | 133 | 0 | 0 | 0 | 97 | 0 | 0 |
N.S. |
1 | 0.95 | 1.00 | 0.00 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.284 | 0.000 | 0.000 | 0.000 | 5.136 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 70 | 98 | 0 | 0 | 0 | 61 | 0 | 65 |
N.S. |
1 | 1.15 | 1.61 | 0.00 | 0.00 | 0.00 | 1.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.198 | 0.144 | 0.000 | 0.000 | 0.000 | 2.699 | 0.000 | 9.958 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 35 | 44 | 44 | 0 | 0 | 0 | 22 | 0 | 41 |
N.S. |
1 | 1.26 | 1.26 | 0.00 | 0.00 | 0.00 | 0.63 | 0.00 | 1.17 |
time (sec) |
N/A | 0.164 | 0.043 | 0.000 | 0.000 | 0.000 | 1.292 | 0.000 | 9.698 |
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 | 125 | 125 | 131 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.264 | 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 | 141 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.382 | 0.318 | 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 | 322 | 322 | 142 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.576 | 0.388 | 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 | 160 | 160 | 166 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.182 | 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 | 155 | 155 | 160 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 0.169 | 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 | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 200 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.225 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 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 | 0.328 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 347 | 354 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 436 | 456 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 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 | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 559 | 570 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.802 | 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 | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 48 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 0.034 | 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 | 83 | 83 | 65 | 60 | 60 | 65 | 65 | 72 | 60 |
N.S. |
1 | 1.00 | 0.78 | 0.72 | 0.72 | 0.78 | 0.78 | 0.87 | 0.72 |
time (sec) |
N/A | 0.226 | 0.010 | 2.171 | 0.185 | 0.274 | 0.087 | 0.306 | 0.058 |
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 | 66 | 66 | 54 | 49 | 49 | 54 | 53 | 61 | 49 |
N.S. |
1 | 1.00 | 0.82 | 0.74 | 0.74 | 0.82 | 0.80 | 0.92 | 0.74 |
time (sec) |
N/A | 0.206 | 0.009 | 2.311 | 0.188 | 0.263 | 0.079 | 0.289 | 9.764 |
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 | 49 | 49 | 39 | 38 | 38 | 42 | 37 | 49 | 38 |
N.S. |
1 | 1.00 | 0.80 | 0.78 | 0.78 | 0.86 | 0.76 | 1.00 | 0.78 |
time (sec) |
N/A | 0.192 | 0.008 | 2.278 | 0.196 | 0.273 | 0.071 | 0.292 | 0.046 |
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 | 28 | 28 | 28 | 27 | 27 | 31 | 26 | 38 | 27 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.96 | 1.11 | 0.93 | 1.36 | 0.96 |
time (sec) |
N/A | 0.167 | 0.007 | 2.258 | 0.195 | 0.273 | 0.062 | 0.270 | 9.964 |
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 | 17 | 17 | 17 | 18 | 18 | 20 | 14 | 19 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.06 | 1.18 | 0.82 | 1.12 | 1.06 |
time (sec) |
N/A | 0.165 | 0.005 | 2.418 | 0.190 | 0.264 | 0.052 | 0.270 | 0.042 |
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 | 12 | 12 | 12 | 13 | 13 | 13 | 8 | 14 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.08 | 1.08 | 0.67 | 1.17 | 1.08 |
time (sec) |
N/A | 0.144 | 0.001 | 2.632 | 0.189 | 0.266 | 0.023 | 0.286 | 0.028 |
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 | 35 | 35 | 47 | 44 | 47 | 49 | 39 | 48 | 31 |
N.S. |
1 | 1.00 | 1.34 | 1.26 | 1.34 | 1.40 | 1.11 | 1.37 | 0.89 |
time (sec) |
N/A | 0.188 | 0.015 | 2.281 | 0.192 | 0.283 | 0.114 | 0.279 | 0.080 |
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 | 52 | 52 | 58 | 54 | 67 | 89 | 58 | 51 | 51 |
N.S. |
1 | 1.00 | 1.12 | 1.04 | 1.29 | 1.71 | 1.12 | 0.98 | 0.98 |
time (sec) |
N/A | 0.198 | 0.019 | 2.257 | 0.197 | 0.281 | 0.158 | 0.278 | 9.706 |
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 | 69 | 69 | 71 | 63 | 90 | 134 | 83 | 70 | 71 |
N.S. |
1 | 1.00 | 1.03 | 0.91 | 1.30 | 1.94 | 1.20 | 1.01 | 1.03 |
time (sec) |
N/A | 0.216 | 0.023 | 2.334 | 0.221 | 0.301 | 0.207 | 0.271 | 0.083 |
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 | 86 | 86 | 82 | 74 | 112 | 178 | 107 | 81 | 93 |
N.S. |
1 | 1.00 | 0.95 | 0.86 | 1.30 | 2.07 | 1.24 | 0.94 | 1.08 |
time (sec) |
N/A | 0.235 | 0.026 | 2.264 | 0.210 | 0.302 | 0.250 | 0.285 | 9.661 |
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 | 70 | 70 | 71 | 65 | 66 | 88 | 65 | 78 | 64 |
N.S. |
1 | 1.00 | 1.01 | 0.93 | 0.94 | 1.26 | 0.93 | 1.11 | 0.91 |
time (sec) |
N/A | 0.221 | 0.028 | 2.258 | 0.198 | 0.268 | 0.128 | 0.293 | 0.048 |
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 | 55 | 55 | 56 | 54 | 55 | 76 | 49 | 66 | 53 |
N.S. |
1 | 1.00 | 1.02 | 0.98 | 1.00 | 1.38 | 0.89 | 1.20 | 0.96 |
time (sec) |
N/A | 0.214 | 0.030 | 2.276 | 0.194 | 0.278 | 0.123 | 0.307 | 9.510 |
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 | 44 | 44 | 45 | 43 | 44 | 65 | 37 | 55 | 42 |
N.S. |
1 | 1.00 | 1.02 | 0.98 | 1.00 | 1.48 | 0.84 | 1.25 | 0.95 |
time (sec) |
N/A | 0.191 | 0.028 | 2.272 | 0.201 | 0.297 | 0.109 | 0.295 | 0.048 |
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 | 31 | 31 | 32 | 32 | 33 | 51 | 26 | 34 | 31 |
N.S. |
1 | 1.00 | 1.03 | 1.03 | 1.06 | 1.65 | 0.84 | 1.10 | 1.00 |
time (sec) |
N/A | 0.187 | 0.021 | 2.303 | 0.203 | 0.269 | 0.090 | 0.296 | 0.045 |
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 | 26 | 26 | 23 | 27 | 28 | 33 | 19 | 29 | 26 |
N.S. |
1 | 1.00 | 0.88 | 1.04 | 1.08 | 1.27 | 0.73 | 1.12 | 1.00 |
time (sec) |
N/A | 0.179 | 0.012 | 2.654 | 0.193 | 0.267 | 0.077 | 0.296 | 9.511 |
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 | 12 | 12 | 12 | 13 | 14 | 14 | 10 | 14 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.17 | 1.17 | 0.83 | 1.17 | 1.00 |
time (sec) |
N/A | 0.148 | 0.002 | 2.207 | 0.199 | 0.267 | 0.065 | 0.274 | 0.049 |
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 | 36 | 47 | 50 | 47 | 48 | 54 | 37 | 50 | 32 |
N.S. |
1 | 1.31 | 1.39 | 1.31 | 1.33 | 1.50 | 1.03 | 1.39 | 0.89 |
time (sec) |
N/A | 0.171 | 0.013 | 2.186 | 0.197 | 0.315 | 0.115 | 0.303 | 9.693 |
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 | 70 | 70 | 87 | 71 | 90 | 136 | 85 | 79 | 70 |
N.S. |
1 | 1.00 | 1.24 | 1.01 | 1.29 | 1.94 | 1.21 | 1.13 | 1.00 |
time (sec) |
N/A | 0.231 | 0.023 | 2.362 | 0.193 | 0.313 | 0.208 | 0.292 | 0.080 |
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 | 87 | 87 | 75 | 85 | 101 | 150 | 92 | 99 | 82 |
N.S. |
1 | 1.00 | 0.86 | 0.98 | 1.16 | 1.72 | 1.06 | 1.14 | 0.94 |
time (sec) |
N/A | 0.241 | 0.045 | 2.311 | 0.195 | 0.337 | 0.230 | 0.276 | 0.085 |
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 | 104 | 104 | 112 | 96 | 135 | 227 | 133 | 101 | 115 |
N.S. |
1 | 1.00 | 1.08 | 0.92 | 1.30 | 2.18 | 1.28 | 0.97 | 1.11 |
time (sec) |
N/A | 0.262 | 0.031 | 2.287 | 0.199 | 0.317 | 0.310 | 0.283 | 9.557 |
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 | 71 | 71 | 73 | 62 | 75 | 106 | 71 | 76 | 72 |
N.S. |
1 | 1.00 | 1.03 | 0.87 | 1.06 | 1.49 | 1.00 | 1.07 | 1.01 |
time (sec) |
N/A | 0.240 | 0.036 | 2.275 | 0.192 | 0.287 | 0.186 | 0.298 | 0.054 |
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 | 60 | 60 | 62 | 51 | 64 | 95 | 60 | 65 | 61 |
N.S. |
1 | 1.00 | 1.03 | 0.85 | 1.07 | 1.58 | 1.00 | 1.08 | 1.02 |
time (sec) |
N/A | 0.238 | 0.032 | 2.267 | 0.209 | 0.329 | 0.161 | 0.292 | 0.054 |
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 | 49 | 49 | 41 | 42 | 55 | 82 | 48 | 46 | 52 |
N.S. |
1 | 1.00 | 0.84 | 0.86 | 1.12 | 1.67 | 0.98 | 0.94 | 1.06 |
time (sec) |
N/A | 0.195 | 0.047 | 2.379 | 0.218 | 0.406 | 0.138 | 0.268 | 0.060 |
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 | 43 | 43 | 30 | 36 | 49 | 60 | 41 | 40 | 46 |
N.S. |
1 | 1.00 | 0.70 | 0.84 | 1.14 | 1.40 | 0.95 | 0.93 | 1.07 |
time (sec) |
N/A | 0.191 | 0.020 | 2.779 | 0.197 | 0.410 | 0.137 | 0.295 | 9.899 |
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 | 10 | 10 | 10 | 11 | 20 | 20 | 17 | 11 | 10 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 2.00 | 2.00 | 1.70 | 1.10 | 1.00 |
time (sec) |
N/A | 0.143 | 0.007 | 2.285 | 0.222 | 0.388 | 0.100 | 0.280 | 9.716 |
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 | 15 | 15 | 15 | 14 | 24 | 24 | 24 | 14 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.60 | 1.60 | 1.60 | 0.93 | 1.60 |
time (sec) |
N/A | 0.148 | 0.001 | 2.200 | 0.181 | 0.636 | 0.087 | 0.305 | 9.619 |
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 | 54 | 54 | 62 | 55 | 67 | 89 | 58 | 60 | 51 |
N.S. |
1 | 1.00 | 1.15 | 1.02 | 1.24 | 1.65 | 1.07 | 1.11 | 0.94 |
time (sec) |
N/A | 0.198 | 0.017 | 2.240 | 0.200 | 0.299 | 0.169 | 0.287 | 0.061 |
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 | 71 | 77 | 65 | 69 | 90 | 134 | 87 | 79 | 70 |
N.S. |
1 | 1.08 | 0.92 | 0.97 | 1.27 | 1.89 | 1.23 | 1.11 | 0.99 |
time (sec) |
N/A | 0.188 | 0.035 | 2.152 | 0.193 | 0.278 | 0.207 | 0.276 | 9.998 |
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 | 105 | 105 | 87 | 93 | 132 | 216 | 134 | 101 | 113 |
N.S. |
1 | 1.00 | 0.83 | 0.89 | 1.26 | 2.06 | 1.28 | 0.96 | 1.08 |
time (sec) |
N/A | 0.253 | 0.047 | 2.296 | 0.195 | 0.278 | 0.307 | 0.297 | 0.109 |
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 | 122 | 122 | 98 | 104 | 156 | 266 | 158 | 125 | 136 |
N.S. |
1 | 1.00 | 0.80 | 0.85 | 1.28 | 2.18 | 1.30 | 1.02 | 1.11 |
time (sec) |
N/A | 0.281 | 0.054 | 2.252 | 0.199 | 0.279 | 0.365 | 0.284 | 9.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 184 | 114 | 105 | 121 | 106 | 165 | 91 | 0 |
N.S. |
1 | 1.06 | 0.66 | 0.61 | 0.70 | 0.61 | 0.95 | 0.53 | 0.00 |
time (sec) |
N/A | 0.283 | 0.663 | 2.300 | 0.283 | 0.281 | 0.551 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 148 | 111 | 94 | 96 | 95 | 150 | 81 | 0 |
N.S. |
1 | 1.06 | 0.79 | 0.67 | 0.69 | 0.68 | 1.07 | 0.58 | 0.00 |
time (sec) |
N/A | 0.261 | 0.429 | 2.494 | 0.309 | 0.260 | 0.530 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 112 | 92 | 83 | 73 | 84 | 138 | 69 | 0 |
N.S. |
1 | 1.05 | 0.86 | 0.78 | 0.68 | 0.79 | 1.29 | 0.64 | 0.00 |
time (sec) |
N/A | 0.213 | 0.434 | 2.782 | 0.285 | 0.290 | 0.499 | 0.315 | 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 | 76 | 78 | 89 | 72 | 53 | 73 | 114 | 56 | 75 |
N.S. |
1 | 1.03 | 1.17 | 0.95 | 0.70 | 0.96 | 1.50 | 0.74 | 0.99 |
time (sec) |
N/A | 0.183 | 0.233 | 2.167 | 0.269 | 0.298 | 0.398 | 0.292 | 10.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 63 | 49 | 31 | 52 | 0 | 36 | 0 |
N.S. |
1 | 1.00 | 1.37 | 1.07 | 0.67 | 1.13 | 0.00 | 0.78 | 0.00 |
time (sec) |
N/A | 0.174 | 0.176 | 2.272 | 0.277 | 0.287 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 63 | 130 | 40 | 66 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.17 | 2.41 | 0.74 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.379 | 2.253 | 0.291 | 0.274 | 0.000 | 0.000 | 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 | 33 | 33 | 40 | 36 | 69 | 66 | 0 | 74 | 35 |
N.S. |
1 | 1.00 | 1.21 | 1.09 | 2.09 | 2.00 | 0.00 | 2.24 | 1.06 |
time (sec) |
N/A | 0.153 | 0.389 | 2.296 | 0.196 | 0.289 | 0.000 | 0.302 | 9.712 |
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 | 67 | 67 | 51 | 43 | 123 | 104 | 0 | 165 | 47 |
N.S. |
1 | 1.00 | 0.76 | 0.64 | 1.84 | 1.55 | 0.00 | 2.46 | 0.70 |
time (sec) |
N/A | 0.180 | 0.432 | 2.372 | 0.195 | 0.288 | 0.000 | 0.289 | 9.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 108 | 63 | 55 | 188 | 138 | 0 | 178 | 114 |
N.S. |
1 | 1.08 | 0.63 | 0.55 | 1.88 | 1.38 | 0.00 | 1.78 | 1.14 |
time (sec) |
N/A | 0.216 | 0.539 | 2.341 | 0.196 | 0.328 | 0.000 | 0.283 | 9.954 |
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 | 133 | 149 | 74 | 66 | 264 | 171 | 0 | 289 | 143 |
N.S. |
1 | 1.12 | 0.56 | 0.50 | 1.98 | 1.29 | 0.00 | 2.17 | 1.08 |
time (sec) |
N/A | 0.249 | 0.604 | 2.361 | 0.218 | 0.304 | 0.000 | 0.296 | 10.029 |
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 | 166 | 190 | 85 | 77 | 351 | 204 | 0 | 351 | 172 |
N.S. |
1 | 1.14 | 0.51 | 0.46 | 2.11 | 1.23 | 0.00 | 2.11 | 1.04 |
time (sec) |
N/A | 0.284 | 0.721 | 2.632 | 0.191 | 0.330 | 0.000 | 0.287 | 10.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 177 | 133 | 116 | 116 | 116 | 177 | 104 | 0 |
N.S. |
1 | 1.08 | 0.81 | 0.71 | 0.71 | 0.71 | 1.08 | 0.63 | 0.00 |
time (sec) |
N/A | 0.276 | 0.486 | 2.802 | 0.303 | 0.287 | 0.607 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 141 | 114 | 105 | 93 | 105 | 163 | 92 | 0 |
N.S. |
1 | 1.08 | 0.87 | 0.80 | 0.71 | 0.80 | 1.24 | 0.70 | 0.00 |
time (sec) |
N/A | 0.228 | 0.621 | 2.301 | 0.285 | 0.282 | 0.578 | 0.332 | 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 | 100 | 107 | 111 | 94 | 73 | 94 | 143 | 81 | 67 |
N.S. |
1 | 1.07 | 1.11 | 0.94 | 0.73 | 0.94 | 1.43 | 0.81 | 0.67 |
time (sec) |
N/A | 0.205 | 0.358 | 2.178 | 0.323 | 0.284 | 0.461 | 0.283 | 9.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 78 | 89 | 72 | 88 | 72 | 134 | 56 | 0 |
N.S. |
1 | 1.03 | 1.17 | 0.95 | 1.16 | 0.95 | 1.76 | 0.74 | 0.00 |
time (sec) |
N/A | 0.183 | 0.242 | 2.122 | 0.271 | 0.303 | 1.326 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 82 | 72 | 61 | 63 | 60 | 0 | 121 | 0 |
N.S. |
1 | 0.96 | 0.85 | 0.72 | 0.74 | 0.71 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.192 | 0.359 | 2.249 | 0.273 | 0.315 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 77 | 78 | 94 | 79 | 83 | 0 | 77 | 0 |
N.S. |
1 | 1.01 | 1.03 | 1.24 | 1.04 | 1.09 | 0.00 | 1.01 | 0.00 |
time (sec) |
N/A | 0.198 | 0.393 | 2.331 | 0.282 | 0.279 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 74 | 291 | 127 | 110 | 0 | 86 | 0 |
N.S. |
1 | 1.00 | 0.89 | 3.51 | 1.53 | 1.33 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.215 | 0.451 | 2.345 | 0.290 | 0.296 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 41 | 36 | 179 | 96 | 0 | 160 | 37 |
N.S. |
1 | 1.00 | 1.24 | 1.09 | 5.42 | 2.91 | 0.00 | 4.85 | 1.12 |
time (sec) |
N/A | 0.158 | 0.484 | 2.269 | 0.194 | 0.272 | 0.000 | 0.303 | 10.409 |
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 | 67 | 67 | 48 | 43 | 255 | 136 | 0 | 227 | 112 |
N.S. |
1 | 1.00 | 0.72 | 0.64 | 3.81 | 2.03 | 0.00 | 3.39 | 1.67 |
time (sec) |
N/A | 0.209 | 0.510 | 2.508 | 0.224 | 0.276 | 0.000 | 0.286 | 10.533 |
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 | 100 | 108 | 60 | 55 | 342 | 170 | 0 | 289 | 141 |
N.S. |
1 | 1.08 | 0.60 | 0.55 | 3.42 | 1.70 | 0.00 | 2.89 | 1.41 |
time (sec) |
N/A | 0.222 | 0.649 | 2.779 | 0.197 | 0.288 | 0.000 | 0.293 | 10.444 |
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 | 133 | 149 | 71 | 66 | 440 | 203 | 0 | 351 | 170 |
N.S. |
1 | 1.12 | 0.53 | 0.50 | 3.31 | 1.53 | 0.00 | 2.64 | 1.28 |
time (sec) |
N/A | 0.267 | 0.728 | 2.333 | 0.221 | 0.331 | 0.000 | 0.295 | 10.606 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 190 | 82 | 77 | 549 | 236 | 0 | 413 | 199 |
N.S. |
1 | 1.14 | 0.49 | 0.46 | 3.31 | 1.42 | 0.00 | 2.49 | 1.20 |
time (sec) |
N/A | 0.283 | 0.858 | 2.567 | 0.211 | 0.422 | 0.000 | 0.300 | 10.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 235 | 177 | 160 | 165 | 160 | 231 | 150 | 0 |
N.S. |
1 | 1.11 | 0.83 | 0.75 | 0.78 | 0.75 | 1.09 | 0.71 | 0.00 |
time (sec) |
N/A | 0.321 | 0.619 | 2.250 | 0.282 | 0.311 | 0.829 | 0.290 | 0.000 |