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 | B | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 2950 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 7.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.272 | 3.018 | 0.246 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 767 | 361 | 1867 | 291 | 712 | 268 | 474 |
N.S. | 1 | 1.00 | 5.44 | 2.56 | 13.24 | 2.06 | 5.05 | 1.90 | 3.36 |
time (sec) |
N/A | 0.075 | 0.580 | 0.549 | 0.492 | 0.382 | 7.387 | 2.329 | 6.404 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 296 | 296 | 444 | 688 | 795 | 366 | 892 | 487 | 507 |
N.S. | 1 | 1.00 | 1.50 | 2.32 | 2.69 | 1.24 | 3.01 | 1.65 | 1.71 |
time (sec) |
N/A | 0.103 | 0.275 | 0.618 | 0.361 | 0.391 | 2.828 | 2.750 | 6.478 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 375 | 375 | 290 | 881 | 2027 | 543 | 1488 | 613 | 984 |
N.S. | 1 | 1.00 | 0.77 | 2.35 | 5.41 | 1.45 | 3.97 | 1.63 | 2.62 |
time (sec) |
N/A | 0.276 | 0.620 | 0.698 | 0.637 | 0.418 | 5.366 | 3.122 | 8.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 525 | 525 | 453 | 1233 | 4045 | 1017 | 0 | 0 | 1505 |
N.S. |
1 | 1.00 | 0.86 | 2.35 | 7.70 | 1.94 | 0.00 | 0.00 | 2.87 |
time (sec) |
N/A | 0.292 | 0.882 | 0.808 | 1.016 | 0.423 | 0.000 | 0.000 | 11.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 685 | 685 | 611 | 1589 | 5383 | 1530 | 0 | 0 | 2155 |
N.S. |
1 | 1.00 | 0.89 | 2.32 | 7.86 | 2.23 | 0.00 | 0.00 | 3.15 |
time (sec) |
N/A | 0.349 | 1.174 | 0.900 | 1.246 | 0.452 | 0.000 | 0.000 | 14.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 851 | 851 | 793 | 1951 | 8906 | 2268 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 2.29 | 10.47 | 2.67 | 0.00 | 0.00 | 2.94 |
time (sec) |
N/A | 0.425 | 1.700 | 1.133 | 2.374 | 0.502 | 0.000 | 0.000 | 18.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 269 | 0 | 1109 | 635 | 0 | 3847 | 1237 |
N.S. |
1 | 1.00 | 1.21 | 0.00 | 4.97 | 2.85 | 0.00 | 17.25 | 5.55 |
time (sec) |
N/A | 0.132 | 0.175 | 0.094 | 0.315 | 0.496 | 0.000 | 3.505 | 5.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 190 | 190 | 225 | 0 | 733 | 467 | 0 | 2522 | 663 |
N.S. |
1 | 1.00 | 1.18 | 0.00 | 3.86 | 2.46 | 0.00 | 13.27 | 3.49 |
time (sec) |
N/A | 0.109 | 0.125 | 0.117 | 0.287 | 0.431 | 0.000 | 4.674 | 5.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 189 | 0 | 388 | 281 | 0 | 1277 | 295 |
N.S. |
1 | 1.00 | 1.27 | 0.00 | 2.60 | 1.89 | 0.00 | 8.57 | 1.98 |
time (sec) |
N/A | 0.076 | 0.191 | 0.069 | 0.283 | 0.407 | 0.000 | 2.695 | 4.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 74 | 0 | 155 | 152 | 382 | 561 | 134 |
N.S. | 1 | 1.00 | 0.86 | 0.00 | 1.80 | 1.77 | 4.44 | 6.52 | 1.56 |
time (sec) |
N/A | 0.041 | 0.028 | 0.087 | 0.266 | 0.376 | 159.150 | 2.524 | 4.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 172 | 0 | 262 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.203 | 0.087 | 0.204 | 0.528 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 189 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.141 | 0.121 | 0.111 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 216 | 0 | 578 | 223 | 0 | 95 | 204 |
N.S. |
1 | 1.00 | 2.43 | 0.00 | 6.49 | 2.51 | 0.00 | 1.07 | 2.29 |
time (sec) |
N/A | 0.053 | 0.112 | 0.116 | 0.294 | 0.429 | 0.000 | 3.347 | 5.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 196 | 0 | 941 | 435 | 0 | 234 | 374 |
N.S. |
1 | 1.00 | 1.08 | 0.00 | 5.20 | 2.40 | 0.00 | 1.29 | 2.07 |
time (sec) |
N/A | 0.093 | 0.295 | 0.113 | 0.319 | 0.398 | 0.000 | 4.918 | 5.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 220 | 0 | 1394 | 709 | 0 | 388 | 610 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 4.96 | 2.52 | 0.00 | 1.38 | 2.17 |
time (sec) |
N/A | 0.131 | 0.344 | 0.118 | 0.341 | 0.395 | 0.000 | 3.406 | 5.869 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 442 | 442 | 441 | 0 | 1889 | 837 | 0 | 4589 | 2555 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 4.27 | 1.89 | 0.00 | 10.38 | 5.78 |
time (sec) |
N/A | 0.301 | 0.265 | 0.151 | 0.319 | 0.560 | 0.000 | 5.188 | 5.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 374 | 0 | 1269 | 596 | 0 | 2995 | 1328 |
N.S. |
1 | 1.00 | 1.06 | 0.00 | 3.61 | 1.69 | 0.00 | 8.51 | 3.77 |
time (sec) |
N/A | 0.234 | 0.190 | 0.193 | 0.296 | 0.415 | 0.000 | 4.331 | 5.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 224 | 0 | 696 | 411 | 0 | 1757 | 661 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 2.78 | 1.64 | 0.00 | 7.03 | 2.64 |
time (sec) |
N/A | 0.150 | 0.140 | 0.106 | 0.292 | 0.457 | 0.000 | 4.439 | 5.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 101 | 0 | 289 | 232 | 0 | 860 | 303 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 2.33 | 1.87 | 0.00 | 6.94 | 2.44 |
time (sec) |
N/A | 0.052 | 0.037 | 0.107 | 0.272 | 0.422 | 0.000 | 3.109 | 4.625 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 289 | 289 | 264 | 0 | 463 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.249 | 0.132 | 0.171 | 0.543 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 233 | 0 | 966 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 3.73 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.225 | 0.160 | 0.177 | 0.536 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 242 | 242 | 258 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 0.228 | 0.157 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 329 | 0 | 1520 | 304 | 0 | 94 | 421 |
N.S. |
1 | 1.00 | 3.54 | 0.00 | 16.34 | 3.27 | 0.00 | 1.01 | 4.53 |
time (sec) |
N/A | 0.070 | 0.221 | 0.135 | 0.351 | 0.411 | 0.000 | 5.106 | 5.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 474 | 0 | 2223 | 567 | 0 | 222 | 652 |
N.S. |
1 | 1.00 | 2.51 | 0.00 | 11.76 | 3.00 | 0.00 | 1.17 | 3.45 |
time (sec) |
N/A | 0.108 | 0.274 | 0.182 | 0.438 | 0.395 | 0.000 | 6.676 | 6.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 357 | 0 | 3034 | 894 | 0 | 376 | 954 |
N.S. |
1 | 1.00 | 1.22 | 0.00 | 10.35 | 3.05 | 0.00 | 1.28 | 3.26 |
time (sec) |
N/A | 0.150 | 0.653 | 0.171 | 0.501 | 0.414 | 0.000 | 8.140 | 6.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 477 | 477 | 631 | 0 | 2780 | 1118 | 0 | 5436 | 2500 |
N.S. |
1 | 1.00 | 1.32 | 0.00 | 5.83 | 2.34 | 0.00 | 11.40 | 5.24 |
time (sec) |
N/A | 0.310 | 0.403 | 0.158 | 0.344 | 0.678 | 0.000 | 5.806 | 6.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 441 | 0 | 1890 | 894 | 0 | 3942 | 2547 |
N.S. |
1 | 1.00 | 1.14 | 0.00 | 4.88 | 2.31 | 0.00 | 10.19 | 6.58 |
time (sec) |
N/A | 0.252 | 0.242 | 0.190 | 0.325 | 0.579 | 0.000 | 6.483 | 6.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 269 | 0 | 1061 | 603 | 0 | 2372 | 1234 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 3.75 | 2.13 | 0.00 | 8.38 | 4.36 |
time (sec) |
N/A | 0.169 | 0.155 | 0.119 | 0.310 | 0.504 | 0.000 | 4.087 | 5.401 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 124 | 0 | 452 | 355 | 0 | 1249 | 588 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 2.90 | 2.28 | 0.00 | 8.01 | 3.77 |
time (sec) |
N/A | 0.069 | 0.046 | 0.116 | 0.274 | 0.398 | 0.000 | 4.289 | 4.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 368 | 0 | 757 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 0.00 | 2.03 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.335 | 0.191 | 0.134 | 0.581 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 390 | 390 | 394 | 0 | 1458 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.01 | 0.00 | 3.74 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.290 | 0.277 | 0.167 | 0.617 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 331 | 0 | 2336 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 6.47 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.266 | 0.280 | 0.193 | 0.716 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 326 | 326 | 326 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.285 | 0.313 | 0.168 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 370 | 0 | 937 | 0 | 0 | 3849 | -1 |
N.S. | 1 | 1.00 | 1.38 | 0.00 | 3.48 | 0.00 | 0.00 | 14.31 | -0.00 |
time (sec) |
N/A | 0.239 | 0.198 | 0.188 | 0.563 | 0.000 | 0.000 | 188.803 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 266 | 0 | 590 | 0 | 0 | 2524 | -1 |
N.S. | 1 | 1.00 | 1.26 | 0.00 | 2.80 | 0.00 | 0.00 | 11.96 | -0.00 |
time (sec) |
N/A | 0.175 | 0.126 | 0.148 | 0.559 | 0.000 | 0.000 | 123.828 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 170 | 0 | 289 | 0 | 0 | 1279 | -1 |
N.S. | 1 | 1.00 | 1.27 | 0.00 | 2.16 | 0.00 | 0.00 | 9.54 | -0.01 |
time (sec) |
N/A | 0.099 | 0.082 | 0.200 | 0.564 | 0.000 | 0.000 | 75.172 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 101 | 0 | 0 | 0 | 0 | 563 | -1 |
N.S. | 1 | 1.00 | 1.26 | 0.00 | 0.00 | 0.00 | 0.00 | 7.04 | -0.01 |
time (sec) |
N/A | 0.153 | 0.023 | 0.196 | 0.000 | 0.000 | 0.000 | 52.907 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 219 | 0 | 172 | 59 | 0 | 88 | 76 |
N.S. | 1 | 1.00 | 4.38 | 0.00 | 3.44 | 1.18 | 0.00 | 1.76 | 1.52 |
time (sec) |
N/A | 0.079 | 0.079 | 0.147 | 0.279 | 0.389 | 0.000 | 2.581 | 5.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 304 | 0 | 425 | 183 | 0 | 0 | 239 |
N.S. |
1 | 1.00 | 1.68 | 0.00 | 2.35 | 1.01 | 0.00 | 0.00 | 1.32 |
time (sec) |
N/A | 0.121 | 0.196 | 0.188 | 0.309 | 0.417 | 0.000 | 0.000 | 6.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 434 | 0 | 885 | 441 | 0 | 97 | 573 |
N.S. |
1 | 1.00 | 1.63 | 0.00 | 3.33 | 1.66 | 0.00 | 0.36 | 2.15 |
time (sec) |
N/A | 0.161 | 0.248 | 0.191 | 0.382 | 0.395 | 0.000 | 98.714 | 6.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 518 | 0 | 1458 | 773 | 0 | 236 | 986 |
N.S. |
1 | 1.00 | 1.33 | 0.00 | 3.75 | 1.99 | 0.00 | 0.61 | 2.53 |
time (sec) |
N/A | 0.201 | 0.464 | 0.177 | 0.518 | 0.438 | 0.000 | 139.654 | 7.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 359 | 359 | 375 | 0 | 1721 | 0 | 0 | 2988 | -1 |
N.S. |
1 | 1.00 | 1.04 | 0.00 | 4.79 | 0.00 | 0.00 | 8.32 | -0.00 |
time (sec) |
N/A | 0.283 | 0.302 | 0.149 | 0.566 | 0.000 | 0.000 | 269.837 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 252 | 0 | 1163 | 0 | 0 | 1838 | -1 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 4.23 | 0.00 | 0.00 | 6.68 | -0.00 |
time (sec) |
N/A | 0.213 | 0.170 | 0.199 | 0.549 | 0.000 | 0.000 | 196.843 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 183 | 0 | 0 | 0 | 0 | 866 | -1 |
N.S. |
1 | 1.00 | 1.09 | 0.00 | 0.00 | 0.00 | 0.00 | 5.15 | -0.01 |
time (sec) |
N/A | 0.115 | 0.122 | 0.107 | 0.000 | 0.000 | 0.000 | 126.448 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 114 | 0 | 112 | 87 | 0 | 84 | 113 |
N.S. |
1 | 1.00 | 1.12 | 0.00 | 1.10 | 0.85 | 0.00 | 0.82 | 1.11 |
time (sec) |
N/A | 0.031 | 0.037 | 0.103 | 0.263 | 0.393 | 0.000 | 3.471 | 4.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 304 | 0 | 385 | 159 | 0 | 180 | 241 |
N.S. |
1 | 1.00 | 1.83 | 0.00 | 2.32 | 0.96 | 0.00 | 1.08 | 1.45 |
time (sec) |
N/A | 0.118 | 0.213 | 0.187 | 0.293 | 0.386 | 0.000 | 4.067 | 4.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 342 | 0 | 794 | 365 | 0 | 86 | 432 |
N.S. |
1 | 1.00 | 1.25 | 0.00 | 2.91 | 1.34 | 0.00 | 0.32 | 1.58 |
time (sec) |
N/A | 0.151 | 0.304 | 0.170 | 0.324 | 0.387 | 0.000 | 95.650 | 5.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 478 | 0 | 1623 | 776 | 0 | 222 | 1016 |
N.S. |
1 | 1.00 | 1.26 | 0.00 | 4.27 | 2.04 | 0.00 | 0.58 | 2.67 |
time (sec) |
N/A | 0.197 | 0.491 | 0.207 | 0.420 | 0.412 | 0.000 | 124.707 | 7.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 477 | 477 | 549 | 0 | 2426 | 1200 | 0 | 377 | 1665 |
N.S. |
1 | 1.00 | 1.15 | 0.00 | 5.09 | 2.52 | 0.00 | 0.79 | 3.49 |
time (sec) |
N/A | 0.205 | 0.902 | 0.203 | 0.521 | 0.405 | 0.000 | 176.548 | 9.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 382 | 382 | 334 | 0 | 2731 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.87 | 0.00 | 7.15 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.277 | 0.295 | 0.139 | 0.742 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 259 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.178 | 0.233 | 0.175 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 215 | 0 | 530 | 220 | 0 | 93 | 205 |
N.S. |
1 | 1.00 | 2.42 | 0.00 | 5.96 | 2.47 | 0.00 | 1.04 | 2.30 |
time (sec) |
N/A | 0.046 | 0.110 | 0.102 | 0.312 | 0.424 | 0.000 | 3.633 | 5.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 115 | 0 | 235 | 248 | 0 | 181 | 221 |
N.S. |
1 | 1.00 | 0.76 | 0.00 | 1.56 | 1.64 | 0.00 | 1.20 | 1.46 |
time (sec) |
N/A | 0.085 | 0.094 | 0.107 | 0.273 | 0.401 | 0.000 | 2.580 | 4.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 434 | 0 | 849 | 435 | 0 | 362 | 573 |
N.S. |
1 | 1.00 | 1.71 | 0.00 | 3.34 | 1.71 | 0.00 | 1.43 | 2.26 |
time (sec) |
N/A | 0.146 | 0.248 | 0.205 | 0.386 | 0.377 | 0.000 | 3.795 | 6.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 381 | 477 | 0 | 1661 | 845 | 0 | 0 | 1018 |
N.S. |
1 | 1.00 | 1.25 | 0.00 | 4.36 | 2.22 | 0.00 | 0.00 | 2.67 |
time (sec) |
N/A | 0.175 | 0.495 | 0.153 | 0.547 | 0.479 | 0.000 | 0.000 | 7.534 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 483 | 483 | 561 | 0 | 2300 | 1265 | 0 | 0 | 1341 |
N.S. |
1 | 1.00 | 1.16 | 0.00 | 4.76 | 2.62 | 0.00 | 0.00 | 2.78 |
time (sec) |
N/A | 0.215 | 0.812 | 0.196 | 0.550 | 0.410 | 0.000 | 0.000 | 7.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 587 | 587 | 671 | 0 | 3673 | 1922 | 0 | 0 | 2400 |
N.S. |
1 | 1.00 | 1.14 | 0.00 | 6.26 | 3.27 | 0.00 | 0.00 | 4.09 |
time (sec) |
N/A | 0.261 | 1.195 | 0.203 | 1.106 | 0.599 | 0.000 | 0.000 | 10.216 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 584 | 584 | 949 | 0 | 3392 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.62 | 0.00 | 5.81 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.499 | 0.528 | 0.190 | 0.856 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 487 | 487 | 716 | 0 | 2425 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.47 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.400 | 0.396 | 0.183 | 0.835 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 372 | 372 | 937 | 0 | 1419 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.52 | 0.00 | 3.81 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.255 | 0.498 | 0.083 | 0.840 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 216 | 0 | 768 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 3.49 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.157 | 0.140 | 0.066 | 0.794 | 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 | 306 | 306 | 742 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.265 | 1.173 | 0.107 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 1556 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.243 | 1.922 | 0.109 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 801 | 0 | 2013 | 478 | 0 | 177 | 561 |
N.S. | 1 | 1.00 | 5.30 | 0.00 | 13.33 | 3.17 | 0.00 | 1.17 | 3.72 |
time (sec) |
N/A | 0.092 | 0.601 | 0.111 | 0.414 | 0.367 | 0.000 | 6.454 | 6.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 307 | 307 | 1079 | 0 | 3308 | 948 | 0 | 491 | 993 |
N.S. | 1 | 1.00 | 3.51 | 0.00 | 10.78 | 3.09 | 0.00 | 1.60 | 3.23 |
time (sec) |
N/A | 0.185 | 0.733 | 0.110 | 0.542 | 0.515 | 0.000 | 6.959 | 7.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 475 | 475 | 1392 | 0 | 4834 | 1529 | 0 | 841 | 1794 |
N.S. |
1 | 1.00 | 2.93 | 0.00 | 10.18 | 3.22 | 0.00 | 1.77 | 3.78 |
time (sec) |
N/A | 0.259 | 0.886 | 0.113 | 0.726 | 0.556 | 0.000 | 7.547 | 9.741 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 766 | 766 | 1634 | 0 | 4882 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.13 | 0.00 | 6.37 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.715 | 0.956 | 0.320 | 0.848 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 819 | 819 | 1254 | 0 | 3499 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.53 | 0.00 | 4.27 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.667 | 0.656 | 0.265 | 0.806 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 635 | 635 | 713 | 0 | 2166 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.00 | 3.41 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.442 | 0.421 | 0.133 | 0.804 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 303 | 0 | 1207 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.00 | 3.34 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.254 | 0.161 | 0.121 | 0.742 | 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 | 572 | 572 | 1659 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 1.972 | 0.184 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 472 | 472 | 2834 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.374 | 8.400 | 0.160 | 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 | 417 | 417 | 4766 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 11.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.371 | 10.857 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 1415 | 0 | 5552 | 646 | 0 | 176 | 1195 |
N.S. | 1 | 1.00 | 9.01 | 0.00 | 35.36 | 4.11 | 0.00 | 1.12 | 7.61 |
time (sec) |
N/A | 0.119 | 1.443 | 0.144 | 0.750 | 0.396 | 0.000 | 9.953 | 7.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 1860 | 0 | 8051 | 1219 | 0 | 461 | 1934 |
N.S. |
1 | 1.00 | 5.83 | 0.00 | 25.24 | 3.82 | 0.00 | 1.45 | 6.06 |
time (sec) |
N/A | 0.211 | 1.848 | 0.201 | 1.059 | 0.449 | 0.000 | 10.645 | 9.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 493 | 493 | 2320 | 0 | 10900 | 1902 | 0 | 811 | 2500 |
N.S. |
1 | 1.00 | 4.71 | 0.00 | 22.11 | 3.86 | 0.00 | 1.65 | 5.07 |
time (sec) |
N/A | 0.296 | 2.388 | 0.204 | 1.430 | 0.452 | 0.000 | 13.694 | 11.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1172 | 1172 | 2448 | 0 | 6587 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.09 | 0.00 | 5.62 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.051 | 2.205 | 0.367 | 1.020 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 976 | 976 | 1627 | 0 | 4917 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.67 | 0.00 | 5.04 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.904 | 0.928 | 0.274 | 0.896 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 786 | 786 | 945 | 0 | 3094 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.20 | 0.00 | 3.94 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.588 | 0.499 | 0.191 | 0.854 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 454 | 454 | 409 | 0 | 1764 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 3.89 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.358 | 0.223 | 0.159 | 0.779 | 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 | 762 | 762 | 2949 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.766 | 3.166 | 0.172 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 739 | 739 | 4150 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 5.62 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.540 | 16.518 | 0.180 | 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(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 644 | 644 | 6226 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.448 | 21.168 | 0.166 | 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(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 561 | 561 | 8775 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 15.64 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.496 | 7.400 | 0.203 | 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 | 768 | 768 | 3265 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 4.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.658 | 2.771 | 0.162 | 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 | 573 | 573 | 1741 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 3.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.448 | 1.019 | 0.140 | 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 | 303 | 303 | 802 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.233 | 0.393 | 0.080 | 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 | 137 | 137 | 306 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.085 | 0.118 | 0.093 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | B | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 90 | 0 | 403 | 100 | 0 | 157 | 122 |
N.S. | 1 | 1.00 | 1.80 | 0.00 | 8.06 | 2.00 | 0.00 | 3.14 | 2.44 |
time (sec) |
N/A | 0.110 | 0.136 | 0.207 | 0.302 | 0.365 | 0.000 | 4.288 | 5.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 793 | 0 | 1028 | 366 | 0 | 0 | 361 |
N.S. |
1 | 1.00 | 3.98 | 0.00 | 5.17 | 1.84 | 0.00 | 0.00 | 1.81 |
time (sec) |
N/A | 0.199 | 0.447 | 0.190 | 0.446 | 0.404 | 0.000 | 0.000 | 5.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 975 | 0 | 2126 | 879 | 0 | 179 | 1011 |
N.S. |
1 | 1.00 | 2.64 | 0.00 | 5.76 | 2.38 | 0.00 | 0.49 | 2.74 |
time (sec) |
N/A | 0.279 | 0.797 | 0.182 | 0.664 | 0.420 | 0.000 | 264.583 | 8.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 1295 | 0 | 3415 | 1548 | 0 | 0 | 1921 |
N.S. |
1 | 1.00 | 2.38 | 0.00 | 6.29 | 2.85 | 0.00 | 0.00 | 3.54 |
time (sec) |
N/A | 0.347 | 1.120 | 0.158 | 0.970 | 0.492 | 0.000 | 0.000 | 10.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 770 | 770 | 3540 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.503 | 6.020 | 0.190 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 500 | 500 | 2196 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.337 | 3.004 | 0.167 | 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(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 1261 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 4.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.191 | 1.206 | 0.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 331 | 0 | 376 | 206 | 0 | 156 | 237 |
N.S. | 1 | 1.00 | 2.03 | 0.00 | 2.31 | 1.26 | 0.00 | 0.96 | 1.45 |
time (sec) |
N/A | 0.055 | 0.294 | 0.103 | 0.311 | 0.373 | 0.000 | 4.632 | 6.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 789 | 0 | 928 | 326 | 0 | 314 | 365 |
N.S. |
1 | 1.00 | 3.42 | 0.00 | 4.02 | 1.41 | 0.00 | 1.36 | 1.58 |
time (sec) |
N/A | 0.171 | 0.523 | 0.184 | 0.358 | 0.458 | 0.000 | 4.732 | 5.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 392 | 392 | 870 | 0 | 1854 | 740 | 0 | 164 | -1 |
N.S. |
1 | 1.00 | 2.22 | 0.00 | 4.73 | 1.89 | 0.00 | 0.42 | -0.00 |
time (sec) |
N/A | 0.258 | 0.789 | 0.203 | 0.428 | 0.412 | 0.000 | 257.140 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | F | B | B | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 560 | 560 | 1340 | 0 | 3950 | 1520 | 0 | 0 | 1784 |
N.S. |
1 | 1.00 | 2.39 | 0.00 | 7.05 | 2.71 | 0.00 | 0.00 | 3.19 |
time (sec) |
N/A | 0.328 | 1.171 | 0.193 | 0.719 | 0.488 | 0.000 | 0.000 | 10.278 |