Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 219 | 740 | 0 | 532 | 0 | 277 | 200 |
N.S. | 1 | 1.00 | 1.46 | 4.93 | 0.00 | 3.55 | 0.00 | 1.85 | 1.33 |
time (sec) |
N/A | 0.292 | 4.551 | 0.384 | 0.000 | 1.321 | 0.000 | 0.666 | 8.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 155 | 704 | 0 | 413 | 0 | 227 | 90 |
N.S. | 1 | 1.00 | 1.55 | 7.04 | 0.00 | 4.13 | 0.00 | 2.27 | 0.90 |
time (sec) |
N/A | 0.166 | 2.977 | 0.247 | 0.000 | 1.042 | 0.000 | 0.565 | 7.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 88 | 685 | 4714 | 318 | 0 | 185 | 854 |
N.S. | 1 | 1.00 | 1.28 | 9.93 | 68.32 | 4.61 | 0.00 | 2.68 | 12.38 |
time (sec) |
N/A | 0.098 | 1.223 | 0.291 | 0.702 | 0.909 | 0.000 | 0.475 | 7.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 339 | 128 | 0 | 714 | 0 | 360 | 763 |
N.S. |
1 | 1.00 | 2.42 | 0.91 | 0.00 | 5.10 | 0.00 | 2.57 | 5.45 |
time (sec) |
N/A | 0.244 | 5.235 | 0.801 | 0.000 | 1.516 | 0.000 | 0.524 | 7.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 281 | 269 | 0 | 1115 | 0 | 473 | 2500 |
N.S. |
1 | 1.00 | 1.33 | 1.27 | 0.00 | 5.28 | 0.00 | 2.24 | 11.85 |
time (sec) |
N/A | 0.406 | 1.987 | 0.454 | 0.000 | 1.366 | 0.000 | 0.574 | 8.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 329 | 382 | 0 | 1478 | 0 | 632 | 2500 |
N.S. |
1 | 1.00 | 1.18 | 1.36 | 0.00 | 5.28 | 0.00 | 2.26 | 8.93 |
time (sec) |
N/A | 0.663 | 2.902 | 0.439 | 0.000 | 1.802 | 0.000 | 0.687 | 10.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 271 | 910 | 0 | 810 | 0 | 337 | 309 |
N.S. | 1 | 1.00 | 1.50 | 5.03 | 0.00 | 4.48 | 0.00 | 1.86 | 1.71 |
time (sec) |
N/A | 0.365 | 7.610 | 0.292 | 0.000 | 1.860 | 0.000 | 0.963 | 13.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 221 | 872 | 0 | 666 | 0 | 288 | 196 |
N.S. | 1 | 1.00 | 1.69 | 6.66 | 0.00 | 5.08 | 0.00 | 2.20 | 1.50 |
time (sec) |
N/A | 0.215 | 3.977 | 0.273 | 0.000 | 1.460 | 0.000 | 0.806 | 10.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 111 | 852 | 0 | 520 | 0 | 241 | 2869 |
N.S. |
1 | 1.00 | 1.13 | 8.69 | 0.00 | 5.31 | 0.00 | 2.46 | 29.28 |
time (sec) |
N/A | 0.150 | 2.051 | 0.254 | 0.000 | 1.120 | 0.000 | 0.559 | 16.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 376 | 140 | 0 | 808 | 0 | 407 | 847 |
N.S. |
1 | 1.00 | 2.46 | 0.92 | 0.00 | 5.28 | 0.00 | 2.66 | 5.54 |
time (sec) |
N/A | 0.227 | 4.523 | 0.374 | 0.000 | 1.080 | 0.000 | 0.574 | 7.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 272 | 284 | 0 | 1012 | 0 | 462 | 1580 |
N.S. |
1 | 1.00 | 1.30 | 1.36 | 0.00 | 4.84 | 0.00 | 2.21 | 7.56 |
time (sec) |
N/A | 0.440 | 1.955 | 0.423 | 0.000 | 1.260 | 0.000 | 0.663 | 7.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 274 | 274 | 311 | 362 | 0 | 1268 | 0 | 624 | 2500 |
N.S. |
1 | 1.00 | 1.14 | 1.32 | 0.00 | 4.63 | 0.00 | 2.28 | 9.12 |
time (sec) |
N/A | 0.682 | 2.855 | 0.418 | 0.000 | 1.806 | 0.000 | 0.755 | 9.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 528 | 1043 | 0 | 1115 | 0 | 423 | 400 |
N.S. | 1 | 1.00 | 2.44 | 4.83 | 0.00 | 5.16 | 0.00 | 1.96 | 1.85 |
time (sec) |
N/A | 0.433 | 9.918 | 0.325 | 0.000 | 2.541 | 0.000 | 1.350 | 27.628 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 271 | 1003 | 0 | 941 | 0 | 374 | 257 |
N.S. | 1 | 1.00 | 1.63 | 6.04 | 0.00 | 5.67 | 0.00 | 2.25 | 1.55 |
time (sec) |
N/A | 0.271 | 7.387 | 0.279 | 0.000 | 1.024 | 0.000 | 1.120 | 19.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 208 | 970 | 0 | 752 | 0 | 315 | 2500 |
N.S. |
1 | 1.00 | 1.59 | 7.40 | 0.00 | 5.74 | 0.00 | 2.40 | 19.08 |
time (sec) |
N/A | 0.199 | 3.291 | 0.263 | 0.000 | 1.096 | 0.000 | 0.677 | 28.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 260 | 237 | 0 | 1053 | 0 | 464 | 2500 |
N.S. |
1 | 1.00 | 1.41 | 1.28 | 0.00 | 5.69 | 0.00 | 2.51 | 13.51 |
time (sec) |
N/A | 0.288 | 2.147 | 0.324 | 0.000 | 0.992 | 0.000 | 0.620 | 9.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 291 | 302 | 0 | 1112 | 0 | 520 | 2500 |
N.S. |
1 | 1.00 | 1.34 | 1.39 | 0.00 | 5.12 | 0.00 | 2.40 | 11.52 |
time (sec) |
N/A | 0.425 | 2.122 | 0.364 | 0.000 | 0.982 | 0.000 | 0.784 | 9.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 324 | 452 | 0 | 1282 | 0 | 602 | 2500 |
N.S. |
1 | 1.00 | 1.14 | 1.59 | 0.00 | 4.50 | 0.00 | 2.11 | 8.77 |
time (sec) |
N/A | 0.672 | 2.898 | 0.419 | 0.000 | 1.345 | 0.000 | 0.822 | 9.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 168 | 793 | 0 | 443 | 0 | 243 | 119 |
N.S. | 1 | 1.00 | 1.33 | 6.29 | 0.00 | 3.52 | 0.00 | 1.93 | 0.94 |
time (sec) |
N/A | 0.195 | 3.778 | 0.309 | 0.000 | 0.849 | 0.000 | 0.681 | 6.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 95 | 759 | 0 | 353 | 0 | 185 | 67 |
N.S. | 1 | 1.00 | 1.28 | 10.26 | 0.00 | 4.77 | 0.00 | 2.50 | 0.91 |
time (sec) |
N/A | 0.104 | 2.140 | 0.292 | 0.000 | 1.110 | 0.000 | 0.587 | 5.914 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 71 | 733 | 6772 | 285 | 0 | 156 | 2947 |
N.S. | 1 | 1.00 | 1.54 | 15.93 | 147.22 | 6.20 | 0.00 | 3.39 | 64.07 |
time (sec) |
N/A | 0.052 | 1.097 | 0.360 | 0.700 | 0.806 | 0.000 | 0.513 | 6.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 222 | 150 | 0 | 1018 | 0 | 376 | 2500 |
N.S. |
1 | 1.00 | 1.43 | 0.97 | 0.00 | 6.57 | 0.00 | 2.43 | 16.13 |
time (sec) |
N/A | 0.211 | 1.548 | 0.396 | 0.000 | 1.417 | 0.000 | 0.572 | 8.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 275 | 232 | 0 | 1429 | 0 | 494 | 2500 |
N.S. |
1 | 1.00 | 1.24 | 1.05 | 0.00 | 6.47 | 0.00 | 2.24 | 11.31 |
time (sec) |
N/A | 0.419 | 2.245 | 0.351 | 0.000 | 1.575 | 0.000 | 0.640 | 9.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 324 | 357 | 0 | 1777 | 0 | 669 | 2500 |
N.S. |
1 | 1.00 | 1.09 | 1.20 | 0.00 | 5.96 | 0.00 | 2.24 | 8.39 |
time (sec) |
N/A | 0.661 | 3.418 | 0.362 | 0.000 | 1.424 | 0.000 | 0.834 | 11.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 219 | 1056 | 0 | 620 | 0 | 247 | 182 |
N.S. | 1 | 1.00 | 1.58 | 7.60 | 0.00 | 4.46 | 0.00 | 1.78 | 1.31 |
time (sec) |
N/A | 0.220 | 4.371 | 0.290 | 0.000 | 1.245 | 0.000 | 0.783 | 6.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 189 | 1030 | 0 | 600 | 0 | 209 | 142 |
N.S. | 1 | 1.00 | 2.05 | 11.20 | 0.00 | 6.52 | 0.00 | 2.27 | 1.54 |
time (sec) |
N/A | 0.157 | 3.519 | 0.294 | 0.000 | 0.872 | 0.000 | 0.715 | 6.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 158 | 1015 | 0 | 550 | 0 | 192 | 2500 |
N.S. |
1 | 1.00 | 2.08 | 13.36 | 0.00 | 7.24 | 0.00 | 2.53 | 32.89 |
time (sec) |
N/A | 0.117 | 2.621 | 0.313 | 0.000 | 1.002 | 0.000 | 0.641 | 14.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 297 | 257 | 0 | 1589 | 0 | 476 | 2500 |
N.S. |
1 | 1.00 | 1.45 | 1.25 | 0.00 | 7.75 | 0.00 | 2.32 | 12.20 |
time (sec) |
N/A | 0.328 | 3.413 | 0.347 | 0.000 | 1.530 | 0.000 | 0.811 | 15.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 388 | 399 | 0 | 2298 | 0 | 588 | 2500 |
N.S. |
1 | 1.00 | 1.38 | 1.42 | 0.00 | 8.18 | 0.00 | 2.09 | 8.90 |
time (sec) |
N/A | 0.540 | 4.918 | 0.320 | 0.000 | 2.274 | 0.000 | 0.939 | 15.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 468 | 596 | 0 | 2674 | 0 | 785 | 2500 |
N.S. |
1 | 1.00 | 1.27 | 1.62 | 0.00 | 7.27 | 0.00 | 2.13 | 6.79 |
time (sec) |
N/A | 0.862 | 7.868 | 0.379 | 0.000 | 4.597 | 0.000 | 1.404 | 13.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 232 | 920 | 0 | 983 | 0 | 314 | 255 |
N.S. |
1 | 1.00 | 1.47 | 5.82 | 0.00 | 6.22 | 0.00 | 1.99 | 1.61 |
time (sec) |
N/A | 0.315 | 7.367 | 0.304 | 0.000 | 1.497 | 0.000 | 1.016 | 9.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 218 | 899 | 0 | 929 | 0 | 250 | 221 |
N.S. | 1 | 1.00 | 1.72 | 7.08 | 0.00 | 7.31 | 0.00 | 1.97 | 1.74 |
time (sec) |
N/A | 0.238 | 5.138 | 0.289 | 0.000 | 1.042 | 0.000 | 0.903 | 8.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 198 | 885 | 0 | 843 | 0 | 228 | 2500 |
N.S. |
1 | 1.00 | 1.82 | 8.12 | 0.00 | 7.73 | 0.00 | 2.09 | 22.94 |
time (sec) |
N/A | 0.189 | 4.025 | 0.317 | 0.000 | 1.016 | 0.000 | 0.809 | 25.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 371 | 364 | 0 | 2699 | 0 | 547 | 2500 |
N.S. |
1 | 1.00 | 1.39 | 1.36 | 0.00 | 10.11 | 0.00 | 2.05 | 9.36 |
time (sec) |
N/A | 0.453 | 6.822 | 0.472 | 0.000 | 4.025 | 0.000 | 1.091 | 93.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 351 | 351 | 1004 | 518 | 0 | 3287 | 0 | 701 | -1 |
N.S. |
1 | 1.00 | 2.86 | 1.48 | 0.00 | 9.36 | 0.00 | 2.00 | -0.00 |
time (sec) |
N/A | 0.703 | 9.870 | 0.485 | 0.000 | 10.194 | 0.000 | 1.333 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | F(-2) | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 446 | 446 | 1160 | 743 | 0 | 3845 | 0 | 1061 | -1 |
N.S. |
1 | 1.00 | 2.60 | 1.67 | 0.00 | 8.62 | 0.00 | 2.38 | -0.00 |
time (sec) |
N/A | 1.072 | 10.928 | 0.422 | 0.000 | 20.585 | 0.000 | 1.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 589 | 1079 | 0 | 1073 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.24 | 4.10 | 0.00 | 4.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.678 | 8.003 | 0.717 | 0.000 | 0.995 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 559 | 866 | 0 | 773 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.24 | 3.46 | 0.00 | 3.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.630 | 6.289 | 0.518 | 0.000 | 0.787 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 442 | 866 | 0 | 509 | 0 | 0 | 2101 |
N.S. |
1 | 1.00 | 2.93 | 5.74 | 0.00 | 3.37 | 0.00 | 0.00 | 13.91 |
time (sec) |
N/A | 0.272 | 3.745 | 0.517 | 0.000 | 0.863 | 0.000 | 0.000 | 20.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 182 | 877 | 0 | 369 | 0 | 0 | 1724 |
N.S. |
1 | 1.00 | 1.50 | 7.25 | 0.00 | 3.05 | 0.00 | 0.00 | 14.25 |
time (sec) |
N/A | 0.145 | 3.440 | 4.225 | 0.000 | 0.700 | 0.000 | 0.000 | 19.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 249 | 1180 | 0 | 437 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.41 | 6.67 | 0.00 | 2.47 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.214 | 4.379 | 0.690 | 0.000 | 0.871 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 302 | 2226 | 0 | 521 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 8.76 | 0.00 | 2.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.550 | 5.822 | 0.753 | 0.000 | 0.862 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 686 | 1518 | 0 | 1512 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.09 | 4.61 | 0.00 | 4.60 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.887 | 10.302 | 0.503 | 0.000 | 1.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 315 | 315 | 574 | 1234 | 0 | 1142 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.82 | 3.92 | 0.00 | 3.63 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.871 | 7.205 | 0.543 | 0.000 | 0.912 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 507 | 1702 | 0 | 796 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.59 | 8.68 | 0.00 | 4.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.473 | 7.855 | 0.595 | 0.000 | 0.890 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 518 | 1169 | 0 | 928 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.66 | 5.99 | 0.00 | 4.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.459 | 7.882 | 0.516 | 0.000 | 0.918 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 240 | 1275 | 0 | 506 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.39 | 7.37 | 0.00 | 2.92 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.222 | 4.484 | 0.703 | 0.000 | 0.985 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 302 | 1657 | 0 | 590 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.34 | 7.36 | 0.00 | 2.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.302 | 5.967 | 0.726 | 0.000 | 1.635 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-2) | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 849 | 1851 | 0 | 1965 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.05 | 4.46 | 0.00 | 4.73 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.139 | 13.200 | 0.529 | 0.000 | 1.370 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 378 | 378 | 645 | 1503 | 0 | 1533 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 3.98 | 0.00 | 4.06 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.139 | 8.952 | 0.530 | 0.000 | 1.692 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 539 | 2130 | 0 | 1151 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.10 | 8.29 | 0.00 | 4.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.683 | 6.295 | 0.574 | 0.000 | 1.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 549 | 2647 | 0 | 1196 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.20 | 10.59 | 0.00 | 4.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.661 | 8.316 | 0.556 | 0.000 | 1.834 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 560 | 3161 | 0 | 1105 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.18 | 12.30 | 0.00 | 4.30 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.655 | 8.690 | 0.513 | 0.000 | 1.221 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 292 | 2559 | 0 | 674 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.30 | 11.37 | 0.00 | 3.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.310 | 6.695 | 0.531 | 0.000 | 1.434 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 602 | 1295 | 0 | 809 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.01 | 6.48 | 0.00 | 4.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.436 | 7.588 | 0.656 | 0.000 | 1.548 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 505 | 983 | 0 | 557 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.34 | 6.51 | 0.00 | 3.69 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.276 | 5.728 | 0.650 | 0.000 | 1.038 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 147 | 212 | 3834 | 271 | 0 | 0 | 473 |
N.S. |
1 | 1.00 | 1.79 | 2.59 | 46.76 | 3.30 | 0.00 | 0.00 | 5.77 |
time (sec) |
N/A | 0.070 | 2.921 | 0.851 | 0.707 | 1.234 | 0.000 | 0.000 | 10.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 195 | 1738 | 0 | 398 | 0 | 0 | 1508 |
N.S. |
1 | 1.00 | 1.12 | 9.99 | 0.00 | 2.29 | 0.00 | 0.00 | 8.67 |
time (sec) |
N/A | 0.207 | 3.423 | 0.908 | 0.000 | 1.482 | 0.000 | 0.000 | 19.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 249 | 2946 | 0 | 506 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.29 | 15.26 | 0.00 | 2.62 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.311 | 4.010 | 0.819 | 0.000 | 1.349 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 309 | 5218 | 0 | 590 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.18 | 19.92 | 0.00 | 2.25 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.550 | 5.597 | 0.819 | 0.000 | 1.060 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 718 | 1815 | 0 | 974 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.44 | 8.68 | 0.00 | 4.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.487 | 11.644 | 0.589 | 0.000 | 1.727 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 209 | 2564 | 0 | 571 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.62 | 19.88 | 0.00 | 4.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.149 | 5.179 | 0.593 | 0.000 | 1.319 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 337 | 1291 | 8970 | 619 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.61 | 10.01 | 69.53 | 4.80 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.147 | 4.644 | 0.674 | 1.048 | 0.817 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 267 | 3196 | 0 | 694 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.38 | 16.47 | 0.00 | 3.58 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.337 | 4.644 | 0.724 | 0.000 | 1.383 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 333 | 4835 | 0 | 1004 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.24 | 17.97 | 0.00 | 3.73 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.585 | 7.301 | 0.659 | 0.000 | 1.440 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-2) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 349 | 349 | 788 | 7870 | 0 | 1097 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.26 | 22.55 | 0.00 | 3.14 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.872 | 9.352 | 0.635 | 0.000 | 2.224 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 283 | 2968 | 0 | 873 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.56 | 16.40 | 0.00 | 4.82 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.258 | 7.054 | 0.621 | 0.000 | 1.217 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 278 | 2907 | 0 | 1030 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.55 | 16.24 | 0.00 | 5.75 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.235 | 6.411 | 0.613 | 0.000 | 1.573 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-1) | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 394 | 2448 | 0 | 992 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.10 | 13.02 | 0.00 | 5.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.310 | 4.968 | 0.729 | 0.000 | 1.050 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 687 | 4889 | 0 | 1325 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.48 | 17.65 | 0.00 | 4.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.590 | 8.970 | 0.709 | 0.000 | 1.390 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 803 | 7061 | 0 | 1572 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.27 | 19.95 | 0.00 | 4.44 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.855 | 9.368 | 0.649 | 0.000 | 1.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 444 | 444 | 928 | 10145 | 0 | 1801 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.09 | 22.85 | 0.00 | 4.06 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.194 | 10.281 | 0.727 | 0.000 | 1.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.125 | 7.820 | 0.575 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.238 | 16.170 | 2.931 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.090 | 4.017 | 0.559 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.053 | 1.753 | 0.509 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.204 | 26.780 | 3.270 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.384 | 8.134 | 3.476 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F(-2) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.750 | 27.939 | 3.366 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.300 | 50.217 | 3.306 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 422 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.117 | 18.177 | 3.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 171 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.049 | 6.287 | 0.635 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.178 | 14.661 | 1.228 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.336 | 28.487 | 3.531 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F(-1) | F | F | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.629 | 47.349 | 3.994 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.136 | 27.043 | 3.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 2.538 | 2.685 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 20.448 | 2.782 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.107 | 11.138 | 2.837 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F | F(-2) | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.110 | 17.142 | 2.712 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 130 | 159 | 153 | 151 | 240 | 2046 | 141 |
N.S. | 1 | 1.00 | 0.93 | 1.14 | 1.09 | 1.08 | 1.71 | 14.61 | 1.01 |
time (sec) |
N/A | 0.107 | 1.108 | 0.090 | 0.541 | 1.133 | 0.148 | 1.346 | 5.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 96 | 97 | 96 | 95 | 143 | 968 | 91 |
N.S. | 1 | 1.00 | 1.10 | 1.11 | 1.10 | 1.09 | 1.64 | 11.13 | 1.05 |
time (sec) |
N/A | 0.056 | 0.458 | 0.079 | 0.658 | 1.168 | 0.108 | 0.753 | 5.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 59 | 51 | 53 | 52 | 73 | 355 | 55 |
N.S. | 1 | 1.00 | 1.40 | 1.21 | 1.26 | 1.24 | 1.74 | 8.45 | 1.31 |
time (sec) |
N/A | 0.018 | 0.040 | 0.062 | 0.585 | 0.953 | 0.099 | 0.480 | 5.167 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 66 | 83 | 92 | 78 | 524 | 98 | 94 |
N.S. | 1 | 1.00 | 1.14 | 1.43 | 1.59 | 1.34 | 9.03 | 1.69 | 1.62 |
time (sec) |
N/A | 0.052 | 0.130 | 0.171 | 0.526 | 1.117 | 0.469 | 0.476 | 5.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 190 | 141 | 184 | 231 | 2878 | 241 | 152 |
N.S. | 1 | 1.00 | 1.71 | 1.27 | 1.66 | 2.08 | 25.93 | 2.17 | 1.37 |
time (sec) |
N/A | 0.102 | 2.288 | 0.176 | 0.526 | 1.453 | 0.868 | 0.540 | 5.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 243 | 206 | 339 | 510 | 0 | 426 | 279 |
N.S. |
1 | 1.00 | 1.39 | 1.18 | 1.94 | 2.91 | 0.00 | 2.43 | 1.59 |
time (sec) |
N/A | 0.183 | 4.581 | 0.269 | 0.615 | 1.494 | 0.000 | 0.655 | 5.646 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 221 | 307 | 259 | 257 | 445 | 4557 | 259 |
N.S. | 1 | 1.00 | 1.03 | 1.43 | 1.20 | 1.20 | 2.07 | 21.20 | 1.20 |
time (sec) |
N/A | 0.181 | 2.552 | 0.112 | 0.629 | 0.974 | 0.204 | 2.682 | 5.347 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 185 | 189 | 164 | 162 | 258 | 2258 | 230 |
N.S. | 1 | 1.00 | 1.41 | 1.44 | 1.25 | 1.24 | 1.97 | 17.24 | 1.76 |
time (sec) |
N/A | 0.128 | 1.131 | 0.100 | 0.564 | 0.635 | 0.140 | 1.281 | 5.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 96 | 97 | 95 | 94 | 143 | 968 | 91 |
N.S. | 1 | 1.00 | 1.08 | 1.09 | 1.07 | 1.06 | 1.61 | 10.88 | 1.02 |
time (sec) |
N/A | 0.057 | 0.457 | 0.080 | 0.526 | 0.756 | 0.115 | 0.755 | 5.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 108 | 117 | 126 | 133 | 1025 | 127 | 115 |
N.S. | 1 | 1.00 | 1.05 | 1.14 | 1.22 | 1.29 | 9.95 | 1.23 | 1.12 |
time (sec) |
N/A | 0.083 | 0.173 | 0.197 | 0.556 | 0.697 | 0.645 | 0.567 | 5.733 |