Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 178 | 192 | 166 | 171 | 294 | 193 | 169 |
N.S. |
1 | 1.00 | 0.98 | 1.05 | 0.91 | 0.94 | 1.62 | 1.06 | 0.93 |
time (sec) |
N/A | 0.323 | 0.134 | 0.265 | 0.188 | 0.291 | 0.475 | 0.276 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 178 | 192 | 166 | 169 | 216 | 193 | 169 |
N.S. |
1 | 1.00 | 0.98 | 1.05 | 0.91 | 0.93 | 1.19 | 1.06 | 0.93 |
time (sec) |
N/A | 0.323 | 0.147 | 0.256 | 0.209 | 0.304 | 0.947 | 0.280 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 176 | 191 | 166 | 166 | 291 | 193 | 169 |
N.S. |
1 | 1.00 | 0.98 | 1.06 | 0.92 | 0.92 | 1.62 | 1.07 | 0.94 |
time (sec) |
N/A | 0.317 | 0.132 | 0.290 | 0.193 | 0.294 | 0.330 | 0.270 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 173 | 192 | 166 | 166 | 284 | 193 | 169 |
N.S. |
1 | 1.00 | 0.98 | 1.09 | 0.94 | 0.94 | 1.61 | 1.10 | 0.96 |
time (sec) |
N/A | 0.325 | 0.153 | 0.266 | 0.196 | 0.272 | 0.413 | 0.398 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 170 | 191 | 166 | 166 | 280 | 191 | 170 |
N.S. |
1 | 1.00 | 0.96 | 1.07 | 0.93 | 0.93 | 1.57 | 1.07 | 0.96 |
time (sec) |
N/A | 0.320 | 0.173 | 0.270 | 0.197 | 0.268 | 0.451 | 0.371 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 169 | 181 | 167 | 166 | 275 | 192 | 170 |
N.S. |
1 | 1.00 | 0.95 | 1.02 | 0.94 | 0.93 | 1.54 | 1.08 | 0.96 |
time (sec) |
N/A | 0.316 | 0.158 | 0.274 | 0.218 | 0.268 | 0.524 | 0.277 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 168 | 174 | 167 | 166 | 270 | 192 | 170 |
N.S. |
1 | 1.00 | 0.97 | 1.00 | 0.96 | 0.95 | 1.55 | 1.10 | 0.98 |
time (sec) |
N/A | 0.319 | 0.180 | 0.278 | 0.202 | 0.321 | 0.652 | 0.290 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 172 | 167 | 167 | 166 | 275 | 192 | 170 |
N.S. |
1 | 1.00 | 0.97 | 0.94 | 0.94 | 0.93 | 1.54 | 1.08 | 0.96 |
time (sec) |
N/A | 0.314 | 0.159 | 0.260 | 0.197 | 0.305 | 0.776 | 0.297 | 0.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 347 | 363 | 411 | 381 | 0 | 7707 | 40613 | 5319 | 14120 |
N.S. |
1 | 1.05 | 1.18 | 1.10 | 0.00 | 22.21 | 117.04 | 15.33 | 40.69 |
time (sec) |
N/A | 0.786 | 0.958 | 0.404 | 0.000 | 15.595 | 70.027 | 1.043 | 11.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 287 | 333 | 291 | 0 | 5148 | 17734 | 4399 | 10204 |
N.S. |
1 | 1.04 | 1.21 | 1.06 | 0.00 | 18.72 | 64.49 | 16.00 | 37.11 |
time (sec) |
N/A | 0.564 | 0.861 | 0.395 | 0.000 | 7.064 | 16.746 | 1.019 | 11.369 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 225 | 264 | 218 | 0 | 2642 | 13942 | 3186 | 6401 |
N.S. |
1 | 1.02 | 1.19 | 0.99 | 0.00 | 11.95 | 63.09 | 14.42 | 28.96 |
time (sec) |
N/A | 0.450 | 0.487 | 0.378 | 0.000 | 1.723 | 6.351 | 0.777 | 11.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 182 | 181 | 168 | 0 | 1577 | 4488 | 1406 | 4141 |
N.S. |
1 | 1.01 | 1.01 | 0.93 | 0.00 | 8.76 | 24.93 | 7.81 | 23.01 |
time (sec) |
N/A | 0.334 | 0.340 | 0.608 | 0.000 | 0.918 | 8.443 | 0.755 | 10.894 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 197 | 214 | 175 | 0 | 2925 | 305978 | 2809 | 6367 |
N.S. |
1 | 0.99 | 1.08 | 0.88 | 0.00 | 14.70 | 1537.58 | 14.12 | 31.99 |
time (sec) |
N/A | 0.423 | 0.531 | 0.390 | 0.000 | 1.557 | 75.826 | 0.911 | 11.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 284 | 0 | 276 | 233 | 0 | 5453 | 0 | 2870 | 10133 |
N.S. |
1 | 0.00 | 0.97 | 0.82 | 0.00 | 19.20 | 0.00 | 10.11 | 35.68 |
time (sec) |
N/A | 0.000 | 0.790 | 0.371 | 0.000 | 2.629 | 0.000 | 1.006 | 11.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 0 | 354 | 314 | 0 | 7971 | 0 | 5013 | 13983 |
N.S. |
1 | 0.00 | 1.15 | 1.02 | 0.00 | 25.96 | 0.00 | 16.33 | 45.55 |
time (sec) |
N/A | 0.000 | 0.999 | 0.401 | 0.000 | 6.809 | 0.000 | 1.340 | 12.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 0 | 445 | 412 | 0 | 10514 | 0 | 4086 | 17910 |
N.S. |
1 | 0.00 | 1.17 | 1.08 | 0.00 | 27.60 | 0.00 | 10.72 | 47.01 |
time (sec) |
N/A | 0.000 | 1.281 | 0.398 | 0.000 | 9.324 | 0.000 | 1.230 | 13.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 411 | 404 | 461 | 455 | 0 | 7251 | 0 | 5685 | 16631 |
N.S. |
1 | 0.98 | 1.12 | 1.11 | 0.00 | 17.64 | 0.00 | 13.83 | 40.46 |
time (sec) |
N/A | 0.752 | 2.886 | 0.440 | 0.000 | 17.629 | 0.000 | 1.237 | 13.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 316 | 366 | 364 | 0 | 4653 | 0 | 4544 | 12408 |
N.S. |
1 | 0.98 | 1.14 | 1.13 | 0.00 | 14.50 | 0.00 | 14.16 | 38.65 |
time (sec) |
N/A | 0.590 | 2.028 | 0.359 | 0.000 | 5.233 | 0.000 | 1.229 | 15.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 276 | 268 | 298 | 295 | 0 | 3462 | 0 | 3781 | 9434 |
N.S. |
1 | 0.97 | 1.08 | 1.07 | 0.00 | 12.54 | 0.00 | 13.70 | 34.18 |
time (sec) |
N/A | 0.485 | 1.316 | 0.368 | 0.000 | 2.644 | 0.000 | 1.061 | 14.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 281 | 311 | 468 | 0 | 4884 | 0 | 4434 | 12364 |
N.S. |
1 | 0.92 | 1.02 | 1.54 | 0.00 | 16.07 | 0.00 | 14.59 | 40.67 |
time (sec) |
N/A | 0.572 | 1.290 | 0.411 | 0.000 | 7.734 | 0.000 | 1.125 | 14.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 406 | 384 | 399 | 383 | 0 | 7597 | 0 | 5405 | 17623 |
N.S. |
1 | 0.95 | 0.98 | 0.94 | 0.00 | 18.71 | 0.00 | 13.31 | 43.41 |
time (sec) |
N/A | 0.717 | 2.353 | 0.411 | 0.000 | 26.165 | 0.000 | 1.355 | 15.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 521 | 524 | 518 | 485 | 0 | 10203 | 0 | 6335 | 21585 |
N.S. |
1 | 1.01 | 0.99 | 0.93 | 0.00 | 19.58 | 0.00 | 12.16 | 41.43 |
time (sec) |
N/A | 0.933 | 3.548 | 0.419 | 0.000 | 65.883 | 0.000 | 1.527 | 15.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 528 | 533 | 612 | 714 | 0 | 9631 | 0 | 3993 | 22943 |
N.S. |
1 | 1.01 | 1.16 | 1.35 | 0.00 | 18.24 | 0.00 | 7.56 | 43.45 |
time (sec) |
N/A | 0.948 | 7.507 | 0.465 | 0.000 | 52.973 | 0.000 | 1.515 | 14.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 459 | 458 | 519 | 595 | 0 | 7056 | 0 | 7586 | 19073 |
N.S. |
1 | 1.00 | 1.13 | 1.30 | 0.00 | 15.37 | 0.00 | 16.53 | 41.55 |
time (sec) |
N/A | 0.814 | 6.084 | 0.444 | 0.000 | 13.640 | 0.000 | 1.665 | 13.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 414 | 416 | 448 | 500 | 0 | 5646 | 0 | 3170 | 16720 |
N.S. |
1 | 1.00 | 1.08 | 1.21 | 0.00 | 13.64 | 0.00 | 7.66 | 40.39 |
time (sec) |
N/A | 0.783 | 6.343 | 0.349 | 0.000 | 10.494 | 0.000 | 1.218 | 13.388 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 426 | 406 | 452 | 528 | 0 | 7267 | 0 | 7277 | 19024 |
N.S. |
1 | 0.95 | 1.06 | 1.24 | 0.00 | 17.06 | 0.00 | 17.08 | 44.66 |
time (sec) |
N/A | 0.901 | 4.130 | 0.337 | 0.000 | 21.710 | 0.000 | 1.800 | 13.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 468 | 466 | 524 | 1556 | 0 | 9907 | 0 | 4621 | 22946 |
N.S. |
1 | 1.00 | 1.12 | 3.32 | 0.00 | 21.17 | 0.00 | 9.87 | 49.03 |
time (sec) |
N/A | 0.969 | 2.781 | 0.687 | 0.000 | 56.554 | 0.000 | 1.437 | 14.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 664 | 578 | 676 | 762 | 0 | 12534 | 0 | 9534 | 29137 |
N.S. |
1 | 0.87 | 1.02 | 1.15 | 0.00 | 18.88 | 0.00 | 14.36 | 43.88 |
time (sec) |
N/A | 1.216 | 10.429 | 0.473 | 0.000 | 147.661 | 0.000 | 1.870 | 18.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 454 | 441 | 638 | 871 | 0 | 265 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.41 | 1.92 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.727 | 25.134 | 1.922 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 373 | 362 | 550 | 795 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.47 | 2.13 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 24.523 | 0.878 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 341 | 336 | 491 | 769 | 0 | 190 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.44 | 2.26 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.469 | 23.521 | 1.020 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 353 | 348 | 499 | 791 | 0 | 198 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.41 | 2.24 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 23.756 | 1.134 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | B | F | C | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 421 | 0 | 576 | 842 | 0 | 255 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.37 | 2.00 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 24.478 | 1.862 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 277 | 178 | 137 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.71 | 0.55 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 21.187 | 0.375 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 249 | 170 | 132 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.75 | 0.58 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.445 | 21.147 | 0.233 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 221 | 165 | 127 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.80 | 0.62 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 21.138 | 0.248 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 193 | 163 | 122 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.90 | 0.67 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.358 | 21.146 | 0.227 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 165 | 158 | 117 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.99 | 0.74 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 20.442 | 0.254 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 165 | 153 | 113 | 0 | 55 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.96 | 0.71 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 20.017 | 0.288 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 163 | 153 | 115 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.97 | 0.73 | 0.00 | 0.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 21.140 | 0.240 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 189 | 153 | 124 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.85 | 0.69 | 0.00 | 0.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.371 | 21.151 | 0.243 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 217 | 155 | 129 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.76 | 0.63 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 21.142 | 0.279 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 245 | 160 | 134 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.70 | 0.59 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 21.139 | 0.280 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 282 | 183 | 142 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.71 | 0.55 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.510 | 21.161 | 0.229 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 254 | 178 | 137 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.76 | 0.59 | 0.00 | 0.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.447 | 21.162 | 0.252 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 226 | 173 | 132 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.82 | 0.63 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.406 | 21.212 | 0.229 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 198 | 165 | 127 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.88 | 0.68 | 0.00 | 0.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.363 | 21.155 | 0.260 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 198 | 163 | 123 | 0 | 65 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.87 | 0.66 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.366 | 21.150 | 0.539 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 189 | 163 | 125 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.89 | 0.68 | 0.00 | 0.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.374 | 21.173 | 0.242 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 194 | 163 | 129 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.88 | 0.70 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.364 | 21.185 | 0.251 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 193 | 163 | 129 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.87 | 0.69 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.368 | 21.157 | 0.251 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 222 | 160 | 134 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.76 | 0.64 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 21.163 | 0.267 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 250 | 165 | 139 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.71 | 0.60 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 21.168 | 0.325 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 278 | 170 | 144 | 0 | 84 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.66 | 0.56 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.505 | 21.171 | 0.329 | 0.000 | 0.181 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 300 | 291 | 444 | 538 | 0 | 144 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.48 | 1.79 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.418 | 23.230 | 1.303 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 240 | 168 | 127 | 0 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.75 | 0.57 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.429 | 21.171 | 0.253 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 216 | 160 | 122 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.80 | 0.61 | 0.00 | 0.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.408 | 21.140 | 0.270 | 0.000 | 0.152 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 177 | 188 | 158 | 117 | 0 | 48 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.89 | 0.66 | 0.00 | 0.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.357 | 21.153 | 0.235 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 160 | 150 | 112 | 0 | 43 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.97 | 0.73 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.314 | 21.147 | 0.257 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 133 | 150 | 77 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.16 | 0.60 | 0.00 | 0.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 21.142 | 0.186 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 146 | 156 | 90 | 108 | 0 | 50 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.62 | 0.74 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.316 | 21.145 | 0.255 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 183 | 148 | 115 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.85 | 0.66 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.353 | 21.138 | 0.247 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 212 | 150 | 124 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.77 | 0.63 | 0.00 | 0.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 21.140 | 0.264 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 197 | 217 | 156 | 117 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.79 | 0.59 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.409 | 21.150 | 0.286 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 193 | 150 | 112 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.82 | 0.62 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.376 | 21.175 | 0.479 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 165 | 145 | 107 | 0 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.91 | 0.67 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.323 | 21.152 | 0.200 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 161 | 140 | 107 | 0 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.90 | 0.69 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.320 | 21.139 | 0.210 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 161 | 137 | 107 | 0 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.91 | 0.71 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 21.138 | 0.204 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 185 | 137 | 108 | 0 | 99 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.80 | 0.63 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.376 | 21.162 | 0.204 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 201 | 213 | 145 | 115 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.72 | 0.57 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 21.155 | 0.208 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 238 | 150 | 124 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.67 | 0.55 | 0.00 | 0.51 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 21.166 | 0.499 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 282 | 187 | 272 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.73 | 1.06 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.506 | 21.236 | 0.303 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 254 | 179 | 251 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.77 | 1.08 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.461 | 21.227 | 0.209 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 219 | 177 | 232 | 0 | 127 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.84 | 1.10 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 21.974 | 0.213 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 198 | 169 | 214 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.90 | 1.14 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.382 | 21.209 | 0.212 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 194 | 167 | 214 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.89 | 1.14 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.374 | 21.211 | 0.214 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 193 | 164 | 214 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.88 | 1.14 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 21.195 | 0.210 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 189 | 165 | 214 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.92 | 1.20 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 21.242 | 0.215 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 193 | 167 | 214 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.90 | 1.16 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 21.196 | 0.214 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 220 | 167 | 240 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.80 | 1.15 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 21.207 | 0.226 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 246 | 169 | 261 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.75 | 1.16 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 21.205 | 0.215 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 276 | 177 | 282 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.69 | 1.10 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.512 | 21.214 | 0.233 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 672 | 242 | 408 | 1350 | 11116 | 2736 | 769 |
N.S. |
1 | 1.00 | 2.80 | 1.01 | 1.70 | 5.62 | 46.32 | 11.40 | 3.20 |
time (sec) |
N/A | 0.441 | 1.860 | 0.364 | 0.235 | 0.281 | 0.949 | 0.302 | 10.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 289 | 154 | 230 | 573 | 4027 | 1142 | 405 |
N.S. |
1 | 1.00 | 1.86 | 0.99 | 1.48 | 3.70 | 25.98 | 7.37 | 2.61 |
time (sec) |
N/A | 0.328 | 0.425 | 0.615 | 0.215 | 0.281 | 0.555 | 0.278 | 10.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 91 | 82 | 104 | 171 | 981 | 338 | 171 |
N.S. |
1 | 1.00 | 1.10 | 0.99 | 1.25 | 2.06 | 11.82 | 4.07 | 2.06 |
time (sec) |
N/A | 0.238 | 0.127 | 0.048 | 0.213 | 0.266 | 0.331 | 0.279 | 10.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 135 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.436 | 0.280 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 318 | 302 | 253 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.705 | 0.579 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 618 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.465 | 2.886 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 405 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.406 | 1.782 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 234 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 1.340 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 234 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 1.506 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 272 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.433 | 2.030 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 237 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 4.048 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 232 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.411 | 0.472 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 442 | 443 | 210 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.706 | 0.773 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 287 | 295 | 210 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 0.475 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 210 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.365 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 268 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 0.415 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 263 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.438 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 315 | 314 | 289 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 0.424 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |