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 | B | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 144 | 43 | 132 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.11 | 1.23 | 3.77 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.019 | 0.452 | 0.203 | 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 | 168 | 168 | 270 | 599 | 333 | 385 | 644 | 2333 | 742 |
N.S. |
1 | 1.00 | 1.61 | 3.57 | 1.98 | 2.29 | 3.83 | 13.89 | 4.42 |
time (sec) |
N/A | 0.254 | 0.142 | 0.559 | 0.207 | 0.273 | 0.697 | 0.337 | 5.386 |
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 | 120 | 120 | 174 | 351 | 207 | 241 | 369 | 973 | 386 |
N.S. |
1 | 1.00 | 1.45 | 2.92 | 1.72 | 2.01 | 3.08 | 8.11 | 3.22 |
time (sec) |
N/A | 0.157 | 0.085 | 0.485 | 0.194 | 0.269 | 0.520 | 0.299 | 4.694 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 138 | 121 | 109 | 133 | 173 | 338 | 136 |
N.S. |
1 | 1.00 | 1.42 | 1.25 | 1.12 | 1.37 | 1.78 | 3.48 | 1.40 |
time (sec) |
N/A | 0.141 | 0.043 | 0.177 | 0.208 | 0.261 | 0.406 | 0.283 | 5.235 |
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 | 40 | 40 | 48 | 35 | 36 | 60 | 46 | 202 | 48 |
N.S. |
1 | 1.00 | 1.20 | 0.88 | 0.90 | 1.50 | 1.15 | 5.05 | 1.20 |
time (sec) |
N/A | 0.021 | 0.010 | 0.104 | 0.200 | 0.260 | 0.191 | 0.265 | 4.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 206 | 191 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.58 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.123 | 0.074 | 1.223 | 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 | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 125 | 137 | 121 | 262 | 1605 | 472 | 175 |
N.S. |
1 | 1.00 | 1.09 | 1.19 | 1.05 | 2.28 | 13.96 | 4.10 | 1.52 |
time (sec) |
N/A | 0.140 | 0.131 | 0.633 | 0.201 | 0.337 | 2.457 | 0.282 | 5.351 |
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 | 167 | 167 | 174 | 198 | 291 | 833 | 19859 | 2562 | 422 |
N.S. |
1 | 1.00 | 1.04 | 1.19 | 1.74 | 4.99 | 118.92 | 15.34 | 2.53 |
time (sec) |
N/A | 0.186 | 0.205 | 1.049 | 0.211 | 0.806 | 8.752 | 0.343 | 6.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 374 | 374 | 1115 | 1411 | 791 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.98 | 3.77 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.483 | 7.064 | 0.671 | 0.417 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 220 | 295 | 450 | 400 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 2.04 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 0.922 | 0.362 | 0.413 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 111 | 174 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 1.79 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.097 | 0.141 | 0.439 | 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 | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 1767 | 1603 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 8.26 | 7.49 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.117 | 13.432 | 9.717 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 480 | 485 | 470 | 590 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.98 | 1.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.315 | 5.990 | 1.184 | 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 | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 546 | 546 | 2646 | 8597 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.85 | 15.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.778 | 9.608 | 27.127 | 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 | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 326 | 325 | 600 | 7528 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.84 | 23.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.555 | 3.692 | 5.556 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 208 | 372 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.58 | 2.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.240 | 0.851 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 0 | 3250 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 10.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.000 | 12.702 | 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 | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 1089 | 1094 | 1945 | 4101 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.79 | 3.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.073 | 13.648 | 12.353 | 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 | 162 | 162 | 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 | 0.215 | 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 | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 253 | 36 | 19 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 12.65 | 1.80 | 0.95 | 1.10 | 1.10 |
time (sec) |
N/A | 0.056 | 2.092 | 0.361 | 2.550 | 0.255 | 85.904 | 0.342 | 3.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | F(-1) | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 22 | 20 | 418 | 52 | 0 | 22 | 22 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 20.90 | 2.60 | 0.00 | 1.10 | 1.10 |
time (sec) |
N/A | 0.056 | 0.316 | 0.358 | 4.130 | 0.257 | 0.000 | 0.375 | 3.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 39 | 38 | 34 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 0.98 | 0.95 | 0.85 | 0.95 | 0.98 |
time (sec) |
N/A | 0.038 | 0.136 | 0.654 | 0.799 | 0.261 | 8.499 | 0.730 | 4.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 0 | 1681 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 0.000 | 1.381 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 302 | 0 | 926 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 3.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.000 | 0.898 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 98 | 372 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 4.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 0.344 | 0.671 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 39 | 48 | 61 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 0.98 | 1.20 | 1.52 | 0.95 | 0.98 |
time (sec) |
N/A | 0.038 | 0.206 | 0.566 | 0.372 | 0.235 | 3.650 | 0.429 | 3.988 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 36 | 246 | 91 | 126 | 38 | 39 |
N.S. |
1 | 1.00 | 1.05 | 0.90 | 6.15 | 2.28 | 3.15 | 0.95 | 0.98 |
time (sec) |
N/A | 0.034 | 0.864 | 0.566 | 0.426 | 0.264 | 10.502 | 0.824 | 5.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 34 | 49 | 38 | 81 | 0 | 90 | 96 |
N.S. |
1 | 1.00 | 0.92 | 1.32 | 1.03 | 2.19 | 0.00 | 2.43 | 2.59 |
time (sec) |
N/A | 0.016 | 0.033 | 0.210 | 0.206 | 0.249 | 0.000 | 0.277 | 4.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 19 | 19 | 19 | 71 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.83 | 0.83 | 3.09 | 0.83 |
time (sec) |
N/A | 0.008 | 0.013 | 0.487 | 0.253 | 0.251 | 0.104 | 0.287 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 20 | 19 | 19 | 39 | 71 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 0.83 | 0.83 | 1.70 | 3.09 | 0.83 |
time (sec) |
N/A | 0.007 | 0.012 | 0.421 | 0.254 | 0.248 | 0.158 | 0.278 | 4.101 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 17 | 16 | 14 | 19 | 69 | 16 |
N.S. |
1 | 1.00 | 1.12 | 1.06 | 1.00 | 0.88 | 1.19 | 4.31 | 1.00 |
time (sec) |
N/A | 0.003 | 0.007 | 0.555 | 0.251 | 0.246 | 0.072 | 0.262 | 3.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 19 | 21 | 34 | 15 | 0 | 15 | 59 |
N.S. |
1 | 1.00 | 0.90 | 1.00 | 1.62 | 0.71 | 0.00 | 0.71 | 2.81 |
time (sec) |
N/A | 0.030 | 0.014 | 0.243 | 0.222 | 0.240 | 0.000 | 0.308 | 0.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 18 | 20 | 17 | 18 | 14 | 70 | 17 |
N.S. |
1 | 1.00 | 1.06 | 1.18 | 1.00 | 1.06 | 0.82 | 4.12 | 1.00 |
time (sec) |
N/A | 0.006 | 0.014 | 0.319 | 0.253 | 0.251 | 0.086 | 0.287 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 18 | 17 | 19 | 16 | 19 | 71 | 16 |
N.S. |
1 | 1.00 | 0.78 | 0.74 | 0.83 | 0.70 | 0.83 | 3.09 | 0.70 |
time (sec) |
N/A | 0.008 | 0.012 | 0.306 | 0.257 | 0.239 | 0.177 | 0.283 | 3.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 20 | 19 | 19 | 16 | 20 | 71 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.83 | 0.83 | 0.70 | 0.87 | 3.09 | 0.83 |
time (sec) |
N/A | 0.008 | 0.012 | 0.325 | 0.261 | 0.259 | 0.234 | 0.271 | 3.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 62 | 112 | 73 | 264 | 0 | 0 | 203 |
N.S. |
1 | 1.00 | 0.87 | 1.58 | 1.03 | 3.72 | 0.00 | 0.00 | 2.86 |
time (sec) |
N/A | 0.028 | 0.122 | 0.733 | 0.265 | 0.253 | 0.000 | 0.000 | 4.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 37 | 36 | 48 | 37 | 41 | 36 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 0.86 | 1.14 | 0.88 | 0.98 | 0.86 |
time (sec) |
N/A | 0.018 | 0.028 | 28.279 | 0.303 | 0.249 | 0.206 | 0.291 | 3.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 37 | 36 | 48 | 37 | 41 | 36 |
N.S. |
1 | 1.00 | 0.88 | 0.88 | 0.86 | 1.14 | 0.88 | 0.98 | 0.86 |
time (sec) |
N/A | 0.025 | 0.034 | 25.125 | 0.290 | 0.249 | 0.145 | 0.286 | 4.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 74 | 37 | 36 | 48 | 41 | 41 | 36 |
N.S. |
1 | 1.00 | 2.18 | 1.09 | 1.06 | 1.41 | 1.21 | 1.21 | 1.06 |
time (sec) |
N/A | 0.018 | 0.164 | 24.160 | 0.304 | 0.259 | 0.194 | 0.290 | 3.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 33 | 39 | 20 | 39 | 33 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 2.06 | 2.44 | 1.25 | 2.44 | 2.06 |
time (sec) |
N/A | 0.004 | 0.006 | 0.422 | 0.298 | 0.240 | 0.091 | 0.280 | 4.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 53 | 664 | 38 | 36 | 0 | 37 | 183 |
N.S. |
1 | 1.00 | 1.08 | 13.55 | 0.78 | 0.73 | 0.00 | 0.76 | 3.73 |
time (sec) |
N/A | 0.031 | 0.083 | 0.181 | 0.510 | 0.248 | 0.000 | 0.287 | 0.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 37 | 647 | 54 | 41 | 0 | 36 | 207 |
N.S. |
1 | 1.00 | 0.95 | 16.59 | 1.38 | 1.05 | 0.00 | 0.92 | 5.31 |
time (sec) |
N/A | 0.018 | 0.033 | 0.152 | 0.247 | 0.245 | 0.000 | 0.291 | 3.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 42 | 39 | 34 | 38 | 32 | 37 | 34 |
N.S. |
1 | 1.00 | 1.17 | 1.08 | 0.94 | 1.06 | 0.89 | 1.03 | 0.94 |
time (sec) |
N/A | 0.018 | 0.030 | 0.293 | 0.304 | 0.247 | 0.184 | 0.297 | 4.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 34 | 33 | 36 | 40 | 37 | 38 | 32 |
N.S. |
1 | 1.00 | 1.10 | 1.06 | 1.16 | 1.29 | 1.19 | 1.23 | 1.03 |
time (sec) |
N/A | 0.010 | 0.029 | 0.257 | 0.305 | 0.240 | 0.226 | 0.287 | 3.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 37 | 36 | 36 | 40 | 39 | 38 | 36 |
N.S. |
1 | 1.00 | 0.58 | 0.56 | 0.56 | 0.62 | 0.61 | 0.59 | 0.56 |
time (sec) |
N/A | 0.024 | 0.021 | 0.297 | 0.320 | 0.245 | 0.299 | 0.292 | 3.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 97 | 197 | 109 | 627 | 0 | 0 | 332 |
N.S. |
1 | 1.00 | 0.88 | 1.79 | 0.99 | 5.70 | 0.00 | 0.00 | 3.02 |
time (sec) |
N/A | 0.045 | 0.112 | 6.026 | 0.312 | 0.258 | 0.000 | 0.000 | 4.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | A | C | A | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 0 | 54 | 88 | 56 | 77 | 53 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.89 | 1.44 | 0.92 | 1.26 | 0.87 |
time (sec) |
N/A | 0.030 | 0.023 | 0.000 | 0.335 | 0.248 | 0.444 | 0.288 | 3.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | A | C | A | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 54 | 0 | 54 | 88 | 58 | 77 | 53 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.89 | 1.44 | 0.95 | 1.26 | 0.87 |
time (sec) |
N/A | 0.030 | 0.019 | 0.000 | 0.328 | 0.251 | 0.314 | 0.297 | 4.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | A | C | A | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 54 | 0 | 54 | 88 | 56 | 77 | 53 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 1.02 | 1.66 | 1.06 | 1.45 | 1.00 |
time (sec) |
N/A | 0.024 | 0.017 | 0.000 | 0.346 | 0.260 | 0.209 | 0.298 | 3.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 99 | 54 | 54 | 87 | 41 | 77 | 53 |
N.S. |
1 | 1.00 | 2.91 | 1.59 | 1.59 | 2.56 | 1.21 | 2.26 | 1.56 |
time (sec) |
N/A | 0.013 | 0.173 | 25.289 | 0.343 | 0.257 | 0.261 | 0.289 | 0.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 51 | 76 | 20 | 75 | 47 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 3.19 | 4.75 | 1.25 | 4.69 | 2.94 |
time (sec) |
N/A | 0.005 | 0.006 | 25.865 | 0.346 | 0.241 | 0.118 | 0.277 | 3.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 104 | 3294 | 74 | 75 | 0 | 74 | 306 |
N.S. |
1 | 1.00 | 1.35 | 42.78 | 0.96 | 0.97 | 0.00 | 0.96 | 3.97 |
time (sec) |
N/A | 0.075 | 0.098 | 0.287 | 0.539 | 0.247 | 0.000 | 0.297 | 0.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 62 | 3248 | 124 | 79 | 0 | 74 | 372 |
N.S. |
1 | 1.00 | 0.91 | 47.76 | 1.82 | 1.16 | 0.00 | 1.09 | 5.47 |
time (sec) |
N/A | 0.033 | 0.028 | 0.256 | 0.426 | 0.251 | 0.000 | 0.295 | 3.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 66 | 3227 | 72 | 77 | 0 | 71 | 383 |
N.S. |
1 | 1.00 | 1.10 | 53.78 | 1.20 | 1.28 | 0.00 | 1.18 | 6.38 |
time (sec) |
N/A | 0.033 | 0.033 | 0.275 | 0.309 | 0.251 | 0.000 | 0.300 | 3.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 60 | 56 | 52 | 75 | 51 | 73 | 51 |
N.S. |
1 | 1.00 | 1.09 | 1.02 | 0.95 | 1.36 | 0.93 | 1.33 | 0.93 |
time (sec) |
N/A | 0.031 | 0.023 | 0.993 | 0.347 | 0.242 | 0.231 | 0.294 | 3.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 50 | 49 | 53 | 75 | 56 | 74 | 48 |
N.S. |
1 | 1.00 | 1.61 | 1.58 | 1.71 | 2.42 | 1.81 | 2.39 | 1.55 |
time (sec) |
N/A | 0.012 | 0.028 | 1.015 | 0.342 | 0.260 | 0.293 | 0.298 | 4.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 54 | 53 | 54 | 75 | 60 | 74 | 53 |
N.S. |
1 | 1.00 | 0.84 | 0.83 | 0.84 | 1.17 | 0.94 | 1.16 | 0.83 |
time (sec) |
N/A | 0.024 | 0.032 | 0.962 | 0.354 | 0.251 | 0.402 | 0.328 | 0.133 |
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 | 53 | 53 | 51 | 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 | 0.030 | 0.060 | 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 | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 79 | 130774 | 85 | 90 | 0 | 81 | 354 |
N.S. |
1 | 1.00 | 0.98 | 1614.49 | 1.05 | 1.11 | 0.00 | 1.00 | 4.37 |
time (sec) |
N/A | 0.053 | 0.034 | 1.417 | 0.377 | 0.245 | 0.000 | 0.295 | 0.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 55 | 28786 | 51 | 51 | 0 | 50 | 234 |
N.S. |
1 | 1.00 | 0.98 | 514.04 | 0.91 | 0.91 | 0.00 | 0.89 | 4.18 |
time (sec) |
N/A | 0.029 | 0.030 | 0.370 | 0.366 | 0.248 | 0.000 | 0.300 | 0.286 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 4303 | 30 | 30 | 0 | 28 | 108 |
N.S. |
1 | 1.00 | 1.00 | 138.81 | 0.97 | 0.97 | 0.00 | 0.90 | 3.48 |
time (sec) |
N/A | 0.015 | 0.024 | 0.197 | 0.360 | 0.255 | 0.000 | 0.285 | 3.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 16 | 16 | 17 | 14 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.33 | 1.33 | 1.42 | 1.17 | 1.00 |
time (sec) |
N/A | 0.004 | 0.093 | 0.215 | 0.284 | 0.249 | 0.198 | 0.304 | 3.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 29 | 972 | 37 | 28 | 0 | 31 | 113 |
N.S. |
1 | 1.00 | 0.66 | 22.09 | 0.84 | 0.64 | 0.00 | 0.70 | 2.57 |
time (sec) |
N/A | 0.022 | 0.021 | 7.070 | 0.358 | 0.253 | 0.000 | 0.287 | 5.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 45 | 0 | 65 | 50 | 0 | 62 | 220 |
N.S. |
1 | 1.00 | 0.69 | 0.00 | 1.00 | 0.77 | 0.00 | 0.95 | 3.38 |
time (sec) |
N/A | 0.031 | 0.022 | 0.000 | 0.358 | 0.249 | 0.000 | 0.296 | 6.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 66 | 0 | 106 | 95 | 0 | 107 | 300 |
N.S. |
1 | 1.00 | 0.72 | 0.00 | 1.15 | 1.03 | 0.00 | 1.16 | 3.26 |
time (sec) |
N/A | 0.062 | 0.023 | 0.000 | 0.376 | 0.247 | 0.000 | 0.281 | 7.206 |
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 | 65 | 65 | 51 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.036 | 0.825 | 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 | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 106 | 131085 | 179 | 212 | 0 | 135 | 669 |
N.S. |
1 | 1.00 | 1.08 | 1337.60 | 1.83 | 2.16 | 0.00 | 1.38 | 6.83 |
time (sec) |
N/A | 0.064 | 0.075 | 1.565 | 0.510 | 0.252 | 0.000 | 0.313 | 3.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 83 | 29109 | 123 | 151 | 0 | 97 | 490 |
N.S. |
1 | 1.00 | 1.11 | 388.12 | 1.64 | 2.01 | 0.00 | 1.29 | 6.53 |
time (sec) |
N/A | 0.042 | 0.041 | 0.383 | 0.517 | 0.253 | 0.000 | 0.293 | 0.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 56 | 4626 | 81 | 95 | 0 | 66 | 302 |
N.S. |
1 | 1.00 | 1.12 | 92.52 | 1.62 | 1.90 | 0.00 | 1.32 | 6.04 |
time (sec) |
N/A | 0.026 | 0.055 | 0.204 | 0.527 | 0.254 | 0.000 | 0.287 | 3.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 35 | 46 | 53 | 36 | 47 | 28 |
N.S. |
1 | 1.00 | 0.96 | 1.25 | 1.64 | 1.89 | 1.29 | 1.68 | 1.00 |
time (sec) |
N/A | 0.013 | 0.119 | 0.142 | 0.537 | 0.256 | 12.365 | 0.289 | 0.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 18 | 19 | 20 | 19 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.29 | 1.36 | 1.43 | 1.36 | 1.00 |
time (sec) |
N/A | 0.005 | 0.006 | 0.181 | 0.289 | 0.235 | 12.295 | 0.287 | 3.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 53 | 0 | 78 | 93 | 0 | 78 | 421 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 1.11 | 1.33 | 0.00 | 1.11 | 6.01 |
time (sec) |
N/A | 0.036 | 0.112 | 0.000 | 0.518 | 0.246 | 0.000 | 0.291 | 7.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 70 | 5357 | 135 | 157 | 0 | 136 | 453 |
N.S. |
1 | 1.00 | 0.69 | 52.52 | 1.32 | 1.54 | 0.00 | 1.33 | 4.44 |
time (sec) |
N/A | 0.049 | 0.047 | 0.352 | 0.511 | 0.257 | 0.000 | 0.285 | 6.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 143 | 143 | 92 | 0 | 190 | 245 | 0 | 203 | 689 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 1.33 | 1.71 | 0.00 | 1.42 | 4.82 |
time (sec) |
N/A | 0.068 | 0.032 | 0.000 | 0.533 | 0.268 | 0.000 | 0.290 | 7.852 |
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 | 94 | 94 | 51 | 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 | 0.062 | 0.878 | 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 | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 114 | 29456 | 198 | 265 | 0 | 163 | 867 |
N.S. |
1 | 1.00 | 1.24 | 320.17 | 2.15 | 2.88 | 0.00 | 1.77 | 9.42 |
time (sec) |
N/A | 0.057 | 0.041 | 0.433 | 0.777 | 0.243 | 0.000 | 0.302 | 4.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 86 | 4977 | 146 | 195 | 0 | 123 | 620 |
N.S. |
1 | 1.00 | 1.21 | 70.10 | 2.06 | 2.75 | 0.00 | 1.73 | 8.73 |
time (sec) |
N/A | 0.040 | 0.048 | 0.245 | 0.798 | 0.246 | 0.000 | 0.305 | 4.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 49 | 54 | 96 | 123 | 54 | 92 | 46 |
N.S. |
1 | 1.00 | 1.04 | 1.15 | 2.04 | 2.62 | 1.15 | 1.96 | 0.98 |
time (sec) |
N/A | 0.024 | 0.032 | 0.172 | 0.772 | 0.251 | 24.640 | 0.301 | 3.859 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 26 | 63 | 60 | 42 | 61 | 25 |
N.S. |
1 | 1.00 | 0.79 | 0.76 | 1.85 | 1.76 | 1.24 | 1.79 | 0.74 |
time (sec) |
N/A | 0.014 | 0.105 | 0.156 | 0.771 | 0.238 | 24.808 | 0.301 | 0.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 28 | 44 | 24 | 44 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.75 | 2.75 | 1.50 | 2.75 | 0.88 |
time (sec) |
N/A | 0.004 | 0.006 | 0.211 | 0.300 | 0.244 | 24.853 | 0.287 | 3.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | C | C | F | C | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 74 | 5655 | 171 | 231 | 0 | 173 | 902 |
N.S. |
1 | 1.00 | 0.76 | 58.30 | 1.76 | 2.38 | 0.00 | 1.78 | 9.30 |
time (sec) |
N/A | 0.060 | 0.141 | 0.353 | 0.820 | 0.249 | 0.000 | 0.308 | 9.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 93 | 0 | 245 | 340 | 0 | 258 | 1074 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 1.87 | 2.60 | 0.00 | 1.97 | 8.20 |
time (sec) |
N/A | 0.070 | 0.040 | 0.000 | 0.875 | 0.250 | 0.000 | 0.328 | 8.287 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | C | C | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 107 | 0 | 331 | 461 | 0 | 343 | 1251 |
N.S. |
1 | 1.00 | 0.63 | 0.00 | 1.95 | 2.71 | 0.00 | 2.02 | 7.36 |
time (sec) |
N/A | 0.085 | 0.031 | 0.000 | 0.783 | 0.257 | 0.000 | 0.312 | 10.019 |
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 | 79 | 79 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.034 | 0.104 | 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 | C | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 146 | 420 | 380 | 828 | 0 | 0 | 546 |
N.S. |
1 | 1.00 | 0.88 | 2.55 | 2.30 | 5.02 | 0.00 | 0.00 | 3.31 |
time (sec) |
N/A | 0.107 | 0.088 | 16.412 | 0.376 | 0.257 | 0.000 | 0.000 | 4.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 106 | 277 | 257 | 498 | 0 | 0 | 418 |
N.S. |
1 | 1.00 | 0.88 | 2.29 | 2.12 | 4.12 | 0.00 | 0.00 | 3.45 |
time (sec) |
N/A | 0.059 | 0.052 | 10.861 | 0.379 | 0.259 | 0.000 | 0.000 | 4.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 71 | 163 | 166 | 276 | 0 | 0 | 304 |
N.S. |
1 | 1.00 | 0.87 | 1.99 | 2.02 | 3.37 | 0.00 | 0.00 | 3.71 |
time (sec) |
N/A | 0.036 | 0.053 | 9.523 | 0.374 | 0.258 | 0.000 | 0.000 | 3.984 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 41 | 77 | 102 | 130 | 0 | 0 | 205 |
N.S. |
1 | 1.00 | 0.85 | 1.60 | 2.12 | 2.71 | 0.00 | 0.00 | 4.27 |
time (sec) |
N/A | 0.017 | 0.036 | 9.098 | 0.439 | 0.246 | 0.000 | 0.000 | 3.909 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | C | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 21 | 65 | 58 | 51 | 27 | 121 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 3.25 | 2.90 | 2.55 | 1.35 | 6.05 |
time (sec) |
N/A | 0.005 | 0.012 | 9.137 | 0.349 | 0.249 | 0.268 | 0.275 | 3.891 |
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 | 64 | 64 | 60 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.061 | 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 | 71 | 71 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 0.029 | 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 | 101 | 101 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 0.033 | 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 | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 34 | 49 | 38 | 81 | 0 | 90 | 96 |
N.S. |
1 | 1.00 | 0.92 | 1.32 | 1.03 | 2.19 | 0.00 | 2.43 | 2.59 |
time (sec) |
N/A | 0.009 | 0.018 | 0.148 | 0.215 | 0.245 | 0.000 | 0.285 | 0.002 |
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 | 23 | 23 | 20 | 20 | 13 | 13 | 76 | 13 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 0.57 | 0.57 | 3.30 | 0.57 | 0.83 |
time (sec) |
N/A | 0.016 | 0.016 | 0.309 | 0.240 | 0.239 | 4.413 | 0.262 | 3.755 |
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 | 23 | 23 | 20 | 20 | 13 | 13 | 180 | 13 | 19 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 0.57 | 0.57 | 7.83 | 0.57 | 0.83 |
time (sec) |
N/A | 0.007 | 0.012 | 0.280 | 0.195 | 0.204 | 2.642 | 0.265 | 0.059 |
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 | 16 | 16 | 18 | 19 | 10 | 10 | 78 | 10 | 16 |
N.S. |
1 | 1.00 | 1.12 | 1.19 | 0.62 | 0.62 | 4.88 | 0.62 | 1.00 |
time (sec) |
N/A | 0.003 | 0.006 | 0.355 | 0.185 | 0.208 | 1.471 | 0.271 | 0.128 |
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 | 21 | 21 | 19 | 21 | 8 | 8 | 0 | 9 | 58 |
N.S. |
1 | 1.00 | 0.90 | 1.00 | 0.38 | 0.38 | 0.00 | 0.43 | 2.76 |
time (sec) |
N/A | 0.036 | 0.014 | 0.171 | 0.181 | 0.236 | 0.000 | 0.267 | 4.257 |
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 | 17 | 17 | 18 | 21 | 11 | 13 | 68 | 12 | 17 |
N.S. |
1 | 1.00 | 1.06 | 1.24 | 0.65 | 0.76 | 4.00 | 0.71 | 1.00 |
time (sec) |
N/A | 0.012 | 0.013 | 0.262 | 0.182 | 0.237 | 2.611 | 0.264 | 3.750 |
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 | 23 | 23 | 18 | 20 | 11 | 11 | 80 | 11 | 16 |
N.S. |
1 | 1.00 | 0.78 | 0.87 | 0.48 | 0.48 | 3.48 | 0.48 | 0.70 |
time (sec) |
N/A | 0.013 | 0.011 | 0.255 | 0.187 | 0.228 | 4.361 | 0.272 | 4.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 39 | 36 | 33 | 57 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 1.33 | 1.22 | 2.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.011 | 0.295 | 0.241 | 0.252 | 0.000 | 0.000 | 0.000 |