Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 1108 | 360 | 0 | 245 | 0 | 0 | 269 |
N.S. |
1 | 1.00 | 5.15 | 1.67 | 0.00 | 1.14 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.433 | 6.598 | 0.141 | 0.000 | 0.484 | 0.000 | 0.000 | 5.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 1089 | 704 | 0 | 247 | 0 | 0 | 237 |
N.S. |
1 | 1.00 | 5.16 | 3.34 | 0.00 | 1.17 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.429 | 6.655 | 0.157 | 0.000 | 1.127 | 0.000 | 0.000 | 5.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 1085 | 939 | 0 | 253 | 0 | 0 | 279 |
N.S. |
1 | 1.00 | 5.09 | 4.41 | 0.00 | 1.19 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.438 | 6.706 | 0.263 | 0.000 | 0.785 | 0.000 | 0.000 | 6.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 1102 | 985 | 0 | 259 | 0 | 0 | 279 |
N.S. |
1 | 1.00 | 5.17 | 4.62 | 0.00 | 1.22 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.450 | 6.781 | 0.296 | 0.000 | 1.124 | 0.000 | 0.000 | 7.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 1135 | 1219 | 0 | 279 | 0 | 0 | 308 |
N.S. | 1 | 1.00 | 4.61 | 4.96 | 0.00 | 1.13 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.468 | 6.854 | 0.356 | 0.000 | 0.670 | 0.000 | 0.000 | 7.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 1179 | 1381 | 0 | 299 | 0 | 0 | 621 |
N.S. |
1 | 1.00 | 4.23 | 4.95 | 0.00 | 1.07 | 0.00 | 0.00 | 2.23 |
time (sec) |
N/A | 0.489 | 6.959 | 0.415 | 0.000 | 1.191 | 0.000 | 0.000 | 7.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 1393 | 295 | 0 | 280 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.26 | 1.54 | 0.00 | 1.46 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.200 | 6.745 | 0.124 | 0.000 | 0.739 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 1345 | 277 | 0 | 263 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.46 | 1.74 | 0.00 | 1.65 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.185 | 6.714 | 0.122 | 0.000 | 0.876 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 1300 | 262 | 0 | 250 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 10.66 | 2.15 | 0.00 | 2.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 6.591 | 0.129 | 0.000 | 0.766 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 1270 | 245 | 0 | 239 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 15.12 | 2.92 | 0.00 | 2.85 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.157 | 6.567 | 0.120 | 0.000 | 0.756 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 1304 | 316 | 0 | 288 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.64 | 2.82 | 0.00 | 2.57 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.169 | 6.672 | 0.144 | 0.000 | 0.591 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 1337 | 459 | 0 | 314 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.91 | 3.06 | 0.00 | 2.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.179 | 7.124 | 0.204 | 0.000 | 0.681 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 1382 | 776 | 0 | 333 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.20 | 4.04 | 0.00 | 1.73 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.194 | 7.488 | 0.269 | 0.000 | 0.936 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 1398 | 451 | 0 | 378 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.13 | 2.30 | 0.00 | 1.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.276 | 6.942 | 0.133 | 0.000 | 0.559 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 1355 | 437 | 0 | 366 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 8.42 | 2.71 | 0.00 | 2.27 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.263 | 6.813 | 0.192 | 0.000 | 0.976 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 934 | 352 | 0 | 318 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.18 | 2.71 | 0.00 | 2.45 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.243 | 6.622 | 0.125 | 0.000 | 0.381 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 1322 | 423 | 0 | 354 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.58 | 3.38 | 0.00 | 2.83 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.257 | 6.737 | 0.124 | 0.000 | 0.746 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 954 | 450 | 0 | 367 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.32 | 2.98 | 0.00 | 2.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.264 | 6.772 | 0.155 | 0.000 | 0.548 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 1391 | 711 | 0 | 427 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.36 | 3.76 | 0.00 | 2.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.286 | 7.492 | 0.253 | 0.000 | 0.538 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 1507 | 479 | 0 | 489 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.03 | 1.92 | 0.00 | 1.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.405 | 7.249 | 0.151 | 0.000 | 0.963 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 1470 | 465 | 0 | 478 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.03 | 2.22 | 0.00 | 2.29 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.371 | 7.046 | 0.151 | 0.000 | 0.579 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 1446 | 451 | 0 | 467 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.77 | 2.42 | 0.00 | 2.51 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.367 | 6.918 | 0.161 | 0.000 | 1.013 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 1439 | 451 | 0 | 467 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 7.82 | 2.45 | 0.00 | 2.54 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.357 | 6.878 | 0.138 | 0.000 | 0.669 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 1436 | 451 | 0 | 465 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.98 | 2.51 | 0.00 | 2.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.349 | 6.878 | 0.146 | 0.000 | 0.734 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 1473 | 679 | 0 | 515 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.05 | 3.25 | 0.00 | 2.46 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.385 | 7.127 | 0.190 | 0.000 | 1.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 1505 | 876 | 0 | 542 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.22 | 3.62 | 0.00 | 2.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.385 | 7.899 | 0.201 | 0.000 | 1.291 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 109 | 119 | 507 | 110 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.51 | 0.56 | 2.38 | 0.52 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.393 | 0.314 | 0.635 | 0.658 | 3.595 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 90 | 97 | 387 | 92 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 0.58 | 2.30 | 0.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.332 | 0.303 | 0.200 | 0.644 | 3.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 68 | 77 | 231 | 76 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 0.63 | 1.89 | 0.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.283 | 0.263 | 0.174 | 0.633 | 4.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 92 | 199 | 355 | 323 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 1.46 | 2.61 | 2.38 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.269 | 0.585 | 0.208 | 0.616 | 4.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 90 | 209 | 731 | 355 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.67 | 1.55 | 5.41 | 2.63 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.266 | 0.668 | 0.214 | 0.611 | 2.155 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 105 | 313 | 1507 | 391 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 2.17 | 10.47 | 2.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.271 | 0.590 | 0.207 | 0.671 | 2.460 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 125 | 375 | 2740 | 427 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.66 | 1.98 | 14.50 | 2.26 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.334 | 1.009 | 0.177 | 0.745 | 2.803 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 152 | 437 | 4417 | 461 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 1.87 | 18.88 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.389 | 1.640 | 0.191 | 0.929 | 3.142 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 125 | 142 | 652 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.53 | 2.45 | 0.51 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.552 | 2.029 | 0.230 | 0.672 | 2.344 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 103 | 120 | 544 | 117 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.55 | 2.48 | 0.53 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.490 | 1.358 | 0.212 | 0.631 | 2.910 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 85 | 98 | 368 | 98 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.50 | 0.58 | 2.18 | 0.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.369 | 0.932 | 0.179 | 0.619 | 3.238 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 105 | 212 | 694 | 367 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 1.16 | 3.79 | 2.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.397 | 0.900 | 0.214 | 0.646 | 2.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 110 | 243 | 1354 | 393 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.58 | 1.29 | 7.16 | 2.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.398 | 0.956 | 0.207 | 0.606 | 3.164 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 120 | 345 | 2520 | 423 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 1.81 | 13.19 | 2.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.406 | 1.486 | 0.214 | 0.730 | 2.728 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 126 | 376 | 3506 | 437 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.97 | 18.36 | 2.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.427 | 1.916 | 0.154 | 0.780 | 4.005 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 154 | 438 | 5761 | 469 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 1.84 | 24.21 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.491 | 3.135 | 0.161 | 0.977 | 4.214 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 176 | 500 | 7235 | 509 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.75 | 25.39 | 1.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.534 | 4.664 | 0.195 | 1.477 | 4.207 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 206 | 166 | 852 | 168 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 0.53 | 2.72 | 0.54 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.674 | 6.597 | 0.256 | 0.657 | 2.967 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 127 | 144 | 695 | 146 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 0.54 | 2.61 | 0.55 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.605 | 2.437 | 0.224 | 0.655 | 3.838 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 105 | 122 | 580 | 127 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.49 | 0.56 | 2.69 | 0.59 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.417 | 1.609 | 0.194 | 0.637 | 3.908 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 125 | 236 | 849 | 429 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 1.03 | 3.69 | 1.87 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.515 | 1.533 | 0.155 | 0.656 | 3.403 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 230 | 230 | 131 | 245 | 8175 | 453 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 1.07 | 35.54 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 1.590 | 0.152 | 0.882 | 3.745 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 139 | 378 | 3421 | 473 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.57 | 1.55 | 14.02 | 1.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.541 | 1.755 | 0.163 | 3.502 | 4.854 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 144 | 409 | 14964 | 485 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.61 | 1.72 | 62.87 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.533 | 2.379 | 0.164 | 0.969 | 5.329 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 155 | 440 | 6687 | 497 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.65 | 1.85 | 28.10 | 2.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.542 | 3.536 | 0.164 | 3.691 | 6.454 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 178 | 502 | 8852 | 537 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.76 | 31.06 | 1.88 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.623 | 3.532 | 0.171 | 1.598 | 3.560 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 332 | 332 | 200 | 564 | 11081 | 577 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.60 | 1.70 | 33.38 | 1.74 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.687 | 4.768 | 0.218 | 2.576 | 4.182 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 166 | 206 | 671 | 384 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.84 | 2.75 | 1.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.540 | 1.812 | 0.187 | 0.667 | 3.760 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 153 | 184 | 553 | 352 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.92 | 2.75 | 1.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.412 | 0.447 | 0.227 | 0.644 | 2.787 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 73 | 171 | 373 | 322 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 1.10 | 2.39 | 2.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.301 | 0.626 | 0.187 | 0.636 | 4.220 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 93 | 223 | 712 | 489 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 1.27 | 4.07 | 2.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.326 | 0.551 | 0.208 | 0.653 | 3.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 105 | 249 | 18526 | 542 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.61 | 1.44 | 107.09 | 3.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.326 | 0.445 | 0.188 | 0.764 | 3.200 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 130 | 384 | 2304 | 601 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.58 | 1.72 | 10.33 | 2.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.444 | 1.028 | 0.161 | 0.700 | 3.541 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 149 | 446 | 3766 | 638 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.56 | 1.68 | 14.16 | 2.40 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.561 | 1.531 | 0.167 | 0.799 | 4.011 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 118 | 318 | 0 | 468 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.44 | 1.19 | 0.00 | 1.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.571 | 2.257 | 0.247 | 0.000 | 3.367 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 104 | 262 | 34992 | 434 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.47 | 1.19 | 158.33 | 1.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.442 | 1.675 | 0.220 | 1.104 | 3.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 114 | 235 | 8312 | 406 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.66 | 1.37 | 48.33 | 2.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.325 | 1.906 | 0.206 | 0.722 | 2.931 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 114 | 304 | 3153 | 600 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.62 | 1.64 | 17.04 | 3.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.357 | 1.618 | 0.197 | 0.694 | 3.565 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 358 | 362 | 63653 | 668 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.57 | 1.59 | 279.18 | 2.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.473 | 5.881 | 0.207 | 2.666 | 4.222 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 213 | 508 | 10551 | 754 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 1.78 | 37.02 | 2.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.597 | 3.927 | 0.167 | 1.834 | 4.748 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 315 | 315 | 150 | 450 | 243716 | 564 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.48 | 1.43 | 773.70 | 1.79 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.711 | 3.975 | 0.265 | 7.099 | 3.609 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 132 | 390 | 151873 | 530 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.50 | 1.47 | 570.95 | 1.99 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.581 | 3.229 | 0.247 | 4.258 | 3.695 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 118 | 365 | 261332 | 500 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.54 | 1.67 | 1193.30 | 2.28 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.471 | 2.742 | 0.217 | 3.655 | 4.786 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 110 | 340 | 5530 | 482 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 1.95 | 31.78 | 2.77 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.340 | 1.963 | 0.201 | 1.363 | 4.049 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 144 | 540 | 7863 | 716 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 2.33 | 33.89 | 3.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.479 | 3.591 | 0.162 | 1.353 | 2.505 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 418 | 605 | 0 | 800 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.51 | 2.18 | 0.00 | 2.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.618 | 4.550 | 0.165 | 0.000 | 3.873 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 77 | 290 | 0 | 148 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 0.69 | 2.61 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.072 | 0.513 | 0.096 | 0.000 | 0.611 | 0.000 | 0.000 | 4.441 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 66 | 262 | 0 | 137 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 0.76 | 3.01 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.067 | 0.243 | 0.090 | 0.000 | 0.721 | 0.000 | 0.000 | 4.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 53 | 228 | 0 | 125 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 0.87 | 3.74 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.054 | 0.114 | 0.096 | 0.000 | 0.505 | 0.000 | 0.000 | 0.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 152 | 0 | 107 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 1.00 | 4.34 | 0.00 | 3.06 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.046 | 0.070 | 0.147 | 0.000 | 0.425 | 0.000 | 0.000 | 0.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 51 | 148 | 0 | 156 | 0 | 0 | 60 |
N.S. | 1 | 1.00 | 0.89 | 2.60 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.056 | 0.149 | 0.102 | 0.000 | 0.763 | 0.000 | 0.000 | 4.393 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 65 | 396 | 0 | 175 | 0 | 0 | 87 |
N.S. | 1 | 1.00 | 0.78 | 4.77 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.064 | 0.446 | 0.168 | 0.000 | 0.567 | 0.000 | 0.000 | 4.702 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 95 | 502 | 0 | 188 | 0 | 0 | 87 |
N.S. | 1 | 1.00 | 0.86 | 4.52 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.071 | 0.325 | 0.200 | 0.000 | 0.851 | 0.000 | 0.000 | 4.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 86 | 342 | 0 | 163 | 0 | 0 | 123 |
N.S. |
1 | 1.00 | 0.70 | 2.78 | 0.00 | 1.33 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.102 | 0.625 | 0.112 | 0.000 | 0.727 | 0.000 | 0.000 | 4.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 72 | 308 | 0 | 149 | 0 | 0 | 96 |
N.S. |
1 | 1.00 | 0.77 | 3.31 | 0.00 | 1.60 | 0.00 | 0.00 | 1.03 |
time (sec) |
N/A | 0.090 | 0.307 | 0.112 | 0.000 | 0.515 | 0.000 | 0.000 | 4.598 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 682 | 274 | 0 | 135 | 0 | 0 | 69 |
N.S. |
1 | 1.00 | 10.49 | 4.22 | 0.00 | 2.08 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.077 | 6.236 | 0.114 | 0.000 | 1.193 | 0.000 | 0.000 | 4.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 759 | 195 | 0 | 166 | 0 | 0 | 76 |
N.S. | 1 | 1.00 | 12.44 | 3.20 | 0.00 | 2.72 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.081 | 6.275 | 0.120 | 0.000 | 0.966 | 0.000 | 0.000 | 0.283 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 69 | 500 | 0 | 185 | 0 | 0 | 103 |
N.S. | 1 | 1.00 | 0.79 | 5.75 | 0.00 | 2.13 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.097 | 0.621 | 0.177 | 0.000 | 1.025 | 0.000 | 0.000 | 0.384 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 112 | 799 | 0 | 206 | 0 | 0 | 108 |
N.S. | 1 | 1.00 | 0.91 | 6.50 | 0.00 | 1.67 | 0.00 | 0.00 | 0.88 |
time (sec) |
N/A | 0.104 | 0.553 | 0.238 | 0.000 | 0.906 | 0.000 | 0.000 | 4.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 129 | 684 | 0 | 217 | 0 | 0 | 108 |
N.S. |
1 | 1.00 | 0.88 | 4.65 | 0.00 | 1.48 | 0.00 | 0.00 | 0.73 |
time (sec) |
N/A | 0.124 | 0.606 | 0.276 | 0.000 | 0.828 | 0.000 | 0.000 | 5.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 1292 | 512 | 0 | 223 | 0 | 0 | 254 |
N.S. |
1 | 1.00 | 7.38 | 2.93 | 0.00 | 1.27 | 0.00 | 0.00 | 1.45 |
time (sec) |
N/A | 0.224 | 6.389 | 0.138 | 0.000 | 0.934 | 0.000 | 0.000 | 5.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 1240 | 481 | 0 | 202 | 0 | 0 | 216 |
N.S. |
1 | 1.00 | 8.73 | 3.39 | 0.00 | 1.42 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.205 | 6.349 | 0.127 | 0.000 | 0.676 | 0.000 | 0.000 | 0.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 1186 | 447 | 0 | 173 | 0 | 0 | 162 |
N.S. |
1 | 1.00 | 11.19 | 4.22 | 0.00 | 1.63 | 0.00 | 0.00 | 1.53 |
time (sec) |
N/A | 0.175 | 6.422 | 0.119 | 0.000 | 0.401 | 0.000 | 0.000 | 4.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 1173 | 380 | 0 | 198 | 0 | 0 | 146 |
N.S. |
1 | 1.00 | 11.97 | 3.88 | 0.00 | 2.02 | 0.00 | 0.00 | 1.49 |
time (sec) |
N/A | 0.175 | 6.477 | 0.131 | 0.000 | 0.459 | 0.000 | 0.000 | 5.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 1180 | 488 | 0 | 212 | 0 | 0 | 184 |
N.S. | 1 | 1.00 | 11.46 | 4.74 | 0.00 | 2.06 | 0.00 | 0.00 | 1.79 |
time (sec) |
N/A | 0.177 | 6.549 | 0.212 | 0.000 | 0.756 | 0.000 | 0.000 | 5.555 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 1228 | 712 | 0 | 234 | 0 | 0 | 217 |
N.S. | 1 | 1.00 | 8.71 | 5.05 | 0.00 | 1.66 | 0.00 | 0.00 | 1.54 |
time (sec) |
N/A | 0.198 | 6.645 | 0.270 | 0.000 | 0.396 | 0.000 | 0.000 | 5.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 1284 | 822 | 0 | 263 | 0 | 0 | 223 |
N.S. |
1 | 1.00 | 7.25 | 4.64 | 0.00 | 1.49 | 0.00 | 0.00 | 1.26 |
time (sec) |
N/A | 0.222 | 6.750 | 0.369 | 0.000 | 0.503 | 0.000 | 0.000 | 6.441 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 1364 | 545 | 0 | 264 | 0 | 0 | 404 |
N.S. |
1 | 1.00 | 5.43 | 2.17 | 0.00 | 1.05 | 0.00 | 0.00 | 1.61 |
time (sec) |
N/A | 0.414 | 6.477 | 0.194 | 0.000 | 0.816 | 0.000 | 0.000 | 5.972 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F(-1) | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 1699 | 514 | 0 | 241 | 0 | 0 | 369 |
N.S. |
1 | 1.00 | 7.90 | 2.39 | 0.00 | 1.12 | 0.00 | 0.00 | 1.72 |
time (sec) |
N/A | 0.398 | 6.460 | 0.139 | 0.000 | 0.398 | 0.000 | 0.000 | 5.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 2001 | 483 | 0 | 218 | 0 | 0 | 280 |
N.S. |
1 | 1.00 | 11.18 | 2.70 | 0.00 | 1.22 | 0.00 | 0.00 | 1.56 |
time (sec) |
N/A | 0.388 | 6.499 | 0.152 | 0.000 | 0.622 | 0.000 | 0.000 | 5.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 1356 | 595 | 0 | 231 | 0 | 0 | 237 |
N.S. |
1 | 1.00 | 7.98 | 3.50 | 0.00 | 1.36 | 0.00 | 0.00 | 1.39 |
time (sec) |
N/A | 0.371 | 6.434 | 0.159 | 0.000 | 0.311 | 0.000 | 0.000 | 5.320 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 1583 | 800 | 0 | 237 | 0 | 0 | 245 |
N.S. |
1 | 1.00 | 9.31 | 4.71 | 0.00 | 1.39 | 0.00 | 0.00 | 1.44 |
time (sec) |
N/A | 0.374 | 6.578 | 0.234 | 0.000 | 0.283 | 0.000 | 0.000 | 5.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 1599 | 879 | 0 | 248 | 0 | 0 | 313 |
N.S. | 1 | 1.00 | 9.19 | 5.05 | 0.00 | 1.43 | 0.00 | 0.00 | 1.80 |
time (sec) |
N/A | 0.374 | 6.665 | 0.296 | 0.000 | 0.338 | 0.000 | 0.000 | 7.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 2041 | 905 | 0 | 281 | 0 | 0 | 346 |
N.S. | 1 | 1.00 | 9.49 | 4.21 | 0.00 | 1.31 | 0.00 | 0.00 | 1.61 |
time (sec) |
N/A | 0.408 | 6.750 | 0.392 | 0.000 | 0.405 | 0.000 | 0.000 | 7.464 |