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 | F(-2) | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 204 | 331 | 215 | 0 | 0 | 0 | 232 | 5368 |
N.S. |
1 | 1.00 | 1.61 | 1.05 | 0.00 | 0.00 | 0.00 | 1.13 | 26.19 |
time (sec) |
N/A | 0.530 | 0.215 | 0.497 | 0.000 | 0.000 | 0.000 | 0.541 | 65.887 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 266 | 426 | 284 | 0 | 0 | 0 | 327 | 10300 |
N.S. |
1 | 0.99 | 1.59 | 1.06 | 0.00 | 0.00 | 0.00 | 1.22 | 38.43 |
time (sec) |
N/A | 0.651 | 0.277 | 0.541 | 0.000 | 0.000 | 0.000 | 0.601 | 141.998 |
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 | 387 | 387 | 463 | 413 | 0 | 24520 | 0 | 12525 | 41755 |
N.S. |
1 | 1.00 | 1.20 | 1.07 | 0.00 | 63.36 | 0.00 | 32.36 | 107.89 |
time (sec) |
N/A | 2.600 | 0.407 | 0.474 | 0.000 | 164.883 | 0.000 | 2.845 | 11.970 |
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 | 323 | 323 | 385 | 331 | 0 | 20147 | 0 | 11046 | 33892 |
N.S. |
1 | 1.00 | 1.19 | 1.02 | 0.00 | 62.37 | 0.00 | 34.20 | 104.93 |
time (sec) |
N/A | 1.138 | 0.337 | 0.487 | 0.000 | 25.695 | 0.000 | 2.443 | 11.481 |
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 | 280 | 280 | 323 | 264 | 0 | 15553 | 0 | 8670 | 25202 |
N.S. |
1 | 1.00 | 1.15 | 0.94 | 0.00 | 55.55 | 0.00 | 30.96 | 90.01 |
time (sec) |
N/A | 0.886 | 0.222 | 0.431 | 0.000 | 2.574 | 0.000 | 2.271 | 10.978 |
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 | 251 | 251 | 277 | 213 | 0 | 12269 | 0 | 6936 | 19401 |
N.S. |
1 | 1.00 | 1.10 | 0.85 | 0.00 | 48.88 | 0.00 | 27.63 | 77.29 |
time (sec) |
N/A | 0.591 | 0.320 | 0.436 | 0.000 | 1.116 | 0.000 | 1.777 | 10.548 |
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 | 254 | 254 | 274 | 215 | 0 | 16013 | 0 | 7664 | 23640 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 63.04 | 0.00 | 30.17 | 93.07 |
time (sec) |
N/A | 0.627 | 0.173 | 0.337 | 0.000 | 13.244 | 0.000 | 1.783 | 11.030 |
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 | 298 | 298 | 340 | 276 | 0 | 20595 | 0 | 10072 | 33644 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 0.00 | 69.11 | 0.00 | 33.80 | 112.90 |
time (sec) |
N/A | 0.930 | 0.262 | 0.462 | 0.000 | 166.674 | 0.000 | 2.513 | 11.326 |
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 | 348 | 348 | 410 | 349 | 0 | 24988 | 0 | 12281 | 42882 |
N.S. |
1 | 1.00 | 1.18 | 1.00 | 0.00 | 71.80 | 0.00 | 35.29 | 123.22 |
time (sec) |
N/A | 1.284 | 0.357 | 0.488 | 0.000 | 293.422 | 0.000 | 2.650 | 11.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 866 | 878 | 215 | 264 | 0 | 0 | 0 | 0 | 43112 |
N.S. |
1 | 1.01 | 0.25 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 49.78 |
time (sec) |
N/A | 1.833 | 0.304 | 1.988 | 0.000 | 0.000 | 0.000 | 0.000 | 12.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 272 | 296 | 259 | 369 | 0 | 1525 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.95 | 1.36 | 0.00 | 5.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.659 | 0.970 | 0.571 | 0.000 | 94.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 219 | 199 | 286 | 0 | 1231 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.96 | 1.38 | 0.00 | 5.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.486 | 0.646 | 0.456 | 0.000 | 10.363 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 172 | 160 | 190 | 0 | 1050 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.95 | 1.13 | 0.00 | 6.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 0.941 | 0.404 | 0.000 | 0.871 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 174 | 240 | 0 | 2367 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.29 | 0.00 | 12.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 0.457 | 0.446 | 0.000 | 42.124 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 361 | 354 | 158 | 225 | 0 | 1094 | 0 | 214 | 0 |
N.S. |
1 | 0.98 | 0.44 | 0.62 | 0.00 | 3.03 | 0.00 | 0.59 | 0.00 |
time (sec) |
N/A | 0.644 | 0.638 | 0.453 | 0.000 | 0.476 | 0.000 | 0.341 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 424 | 435 | 209 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.49 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.106 | 5.769 | 4.103 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 417 | 408 | 204 | 239 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.49 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.855 | 5.058 | 1.366 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 401 | 127 | 341 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.33 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.641 | 9.622 | 0.621 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 399 | 400 | 208 | 240 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 0.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.713 | 10.182 | 1.897 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 311 | 154 | 153 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.43 | 0.42 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.724 | 10.173 | 3.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 546 | 535 | 224 | 263 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.41 | 0.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.418 | 10.222 | 4.095 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 482 | 517 | 545 | 620 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.13 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.049 | 10.668 | 0.635 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 384 | 345 | 494 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.96 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.845 | 1.942 | 0.685 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 289 | 266 | 361 | 0 | 1589 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.99 | 1.34 | 0.00 | 5.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.621 | 1.602 | 0.535 | 0.000 | 111.846 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 350 | 344 | 258 | 360 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.74 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.792 | 0.955 | 0.474 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 562 | 558 | 230 | 344 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.41 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.988 | 1.099 | 0.559 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 463 | 454 | 214 | 251 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.46 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.328 | 8.963 | 2.839 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 428 | 430 | 209 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 10.196 | 1.351 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 722 | 423 | 213 | 258 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.59 | 0.30 | 0.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.131 | 10.236 | 2.964 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 625 | 468 | 219 | 258 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.75 | 0.35 | 0.41 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.242 | 10.246 | 4.107 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 553 | 535 | 224 | 263 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.41 | 0.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.448 | 10.272 | 5.107 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 181 | 166 | 211 | 0 | 1364 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.96 | 1.22 | 0.00 | 7.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.401 | 0.781 | 0.442 | 0.000 | 12.718 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 136 | 146 | 171 | 0 | 1084 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.07 | 1.25 | 0.00 | 7.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.309 | 0.416 | 0.362 | 0.000 | 0.964 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 96 | 101 | 0 | 357 | 0 | 74 | 0 |
N.S. |
1 | 1.00 | 1.12 | 1.17 | 0.00 | 4.15 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.226 | 0.280 | 0.349 | 0.000 | 0.337 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 144 | 166 | 0 | 1097 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.20 | 0.00 | 7.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.351 | 0.476 | 0.402 | 0.000 | 0.458 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 214 | 209 | 206 | 0 | 1414 | 0 | 207 | 0 |
N.S. |
1 | 0.98 | 0.96 | 0.94 | 0.00 | 6.49 | 0.00 | 0.95 | 0.00 |
time (sec) |
N/A | 0.422 | 1.005 | 0.456 | 0.000 | 0.679 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 418 | 410 | 127 | 222 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.30 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.605 | 10.208 | 1.890 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 268 | 99 | 134 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.40 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.402 | 10.122 | 0.750 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 245 | 266 | 80 | 70 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.33 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.388 | 10.072 | 0.643 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 399 | 427 | 147 | 178 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.37 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.796 | 10.185 | 1.931 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 444 | 219 | 258 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.52 | 0.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.981 | 10.181 | 3.456 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 269 | 251 | 365 | 0 | 4901 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 1.06 | 1.55 | 0.00 | 20.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.563 | 0.938 | 0.586 | 0.000 | 37.451 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 168 | 180 | 229 | 0 | 1381 | 0 | 468 | 0 |
N.S. |
1 | 1.01 | 1.08 | 1.37 | 0.00 | 8.27 | 0.00 | 2.80 | 0.00 |
time (sec) |
N/A | 0.362 | 0.643 | 0.437 | 0.000 | 0.543 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 162 | 178 | 216 | 0 | 1349 | 0 | 451 | 0 |
N.S. |
1 | 1.02 | 1.12 | 1.36 | 0.00 | 8.48 | 0.00 | 2.84 | 0.00 |
time (sec) |
N/A | 0.339 | 0.699 | 0.432 | 0.000 | 0.582 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 167 | 182 | 223 | 0 | 1379 | 0 | 468 | 0 |
N.S. |
1 | 1.01 | 1.10 | 1.34 | 0.00 | 8.31 | 0.00 | 2.82 | 0.00 |
time (sec) |
N/A | 0.331 | 0.904 | 0.395 | 0.000 | 0.558 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 268 | 247 | 285 | 0 | 4909 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.93 | 1.07 | 0.00 | 18.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.539 | 1.139 | 0.677 | 0.000 | 2.444 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 419 | 416 | 363 | 413 | 0 | 6486 | 0 | 777 | 0 |
N.S. |
1 | 0.99 | 0.87 | 0.99 | 0.00 | 15.48 | 0.00 | 1.85 | 0.00 |
time (sec) |
N/A | 0.660 | 1.681 | 0.945 | 0.000 | 5.173 | 0.000 | 0.480 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 449 | 459 | 199 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.44 | 0.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.941 | 10.268 | 4.935 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 423 | 464 | 199 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.47 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.847 | 9.675 | 2.516 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 455 | 199 | 244 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.47 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.821 | 7.104 | 1.646 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 423 | 457 | 199 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.47 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.849 | 6.996 | 1.274 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 422 | 459 | 199 | 246 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.47 | 0.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.875 | 10.150 | 1.319 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 468 | 489 | 211 | 253 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.45 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.222 | 10.208 | 1.975 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 406 | 397 | 475 | 473 | 0 | 5829 | 0 | 959 | 11195 |
N.S. |
1 | 0.98 | 1.17 | 1.17 | 0.00 | 14.36 | 0.00 | 2.36 | 27.57 |
time (sec) |
N/A | 4.298 | 1.304 | 2.388 | 0.000 | 257.626 | 0.000 | 0.329 | 8.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 324 | 320 | 383 | 396 | 0 | 4182 | 0 | 776 | 8222 |
N.S. |
1 | 0.99 | 1.18 | 1.22 | 0.00 | 12.91 | 0.00 | 2.40 | 25.38 |
time (sec) |
N/A | 2.095 | 0.979 | 0.870 | 0.000 | 102.891 | 0.000 | 0.322 | 8.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 303 | 350 | 316 | 0 | 2435 | 0 | 626 | 5705 |
N.S. |
1 | 1.04 | 1.20 | 1.08 | 0.00 | 8.34 | 0.00 | 2.14 | 19.54 |
time (sec) |
N/A | 1.124 | 0.954 | 0.607 | 0.000 | 29.968 | 0.000 | 0.327 | 9.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 236 | 256 | 227 | 0 | 1085 | 0 | 449 | 717 |
N.S. |
1 | 1.17 | 1.27 | 1.12 | 0.00 | 5.37 | 0.00 | 2.22 | 3.55 |
time (sec) |
N/A | 0.394 | 0.586 | 0.387 | 0.000 | 6.081 | 0.000 | 0.306 | 8.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 288 | 274 | 358 | 0 | 3126 | 0 | 724 | 10964 |
N.S. |
1 | 1.02 | 0.98 | 1.27 | 0.00 | 11.12 | 0.00 | 2.58 | 39.02 |
time (sec) |
N/A | 0.920 | 0.636 | 0.465 | 0.000 | 49.740 | 0.000 | 0.313 | 11.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 382 | 388 | 348 | 364 | 0 | 6592 | 0 | 784 | 19959 |
N.S. |
1 | 1.02 | 0.91 | 0.95 | 0.00 | 17.26 | 0.00 | 2.05 | 52.25 |
time (sec) |
N/A | 2.385 | 1.054 | 0.825 | 0.000 | 260.181 | 0.000 | 0.325 | 10.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F(-1) | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 552 | 587 | 445 | 463 | 0 | 0 | 0 | 1057 | 33925 |
N.S. |
1 | 1.06 | 0.81 | 0.84 | 0.00 | 0.00 | 0.00 | 1.91 | 61.46 |
time (sec) |
N/A | 2.154 | 1.700 | 1.153 | 0.000 | 0.000 | 0.000 | 0.346 | 11.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 390 | 388 | 786 | 360 | 0 | 6534 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.02 | 0.92 | 0.00 | 16.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.840 | 1.010 | 2.623 | 0.000 | 14.868 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 324 | 326 | 7468 | 368 | 0 | 3260 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 23.05 | 1.14 | 0.00 | 10.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.963 | 16.200 | 0.400 | 0.000 | 2.498 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 321 | 2607 | 233 | 0 | 985 | 0 | 0 | 0 |
N.S. |
1 | 1.34 | 10.86 | 0.97 | 0.00 | 4.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.468 | 13.416 | 0.365 | 0.000 | 0.832 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 289 | 626 | 326 | 0 | 2402 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 2.15 | 1.12 | 0.00 | 8.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.731 | 0.734 | 0.771 | 0.000 | 1.634 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 373 | 385 | 7477 | 398 | 0 | 4095 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 20.05 | 1.07 | 0.00 | 10.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.594 | 16.384 | 0.906 | 0.000 | 6.508 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 512 | 521 | 10511 | 500 | 0 | 5773 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 20.53 | 0.98 | 0.00 | 11.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.513 | 16.520 | 1.214 | 0.000 | 15.781 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 398 | 501 | 447 | 0 | 8200 | 0 | 867 | 16951 |
N.S. |
1 | 0.87 | 1.09 | 0.97 | 0.00 | 17.83 | 0.00 | 1.88 | 36.85 |
time (sec) |
N/A | 0.932 | 1.763 | 0.849 | 0.000 | 249.643 | 0.000 | 0.389 | 9.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 327 | 310 | 373 | 335 | 0 | 4444 | 0 | 802 | 12392 |
N.S. |
1 | 0.95 | 1.14 | 1.02 | 0.00 | 13.59 | 0.00 | 2.45 | 37.90 |
time (sec) |
N/A | 0.611 | 1.199 | 0.569 | 0.000 | 65.872 | 0.000 | 0.341 | 9.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 353 | 379 | 402 | 0 | 0 | 0 | 838 | 28434 |
N.S. |
1 | 1.02 | 1.10 | 1.16 | 0.00 | 0.00 | 0.00 | 2.42 | 82.18 |
time (sec) |
N/A | 1.141 | 1.393 | 0.515 | 0.000 | 0.000 | 0.000 | 0.341 | 11.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 417 | 434 | 427 | 399 | 0 | 0 | 0 | 898 | 35855 |
N.S. |
1 | 1.04 | 1.02 | 0.96 | 0.00 | 0.00 | 0.00 | 2.15 | 85.98 |
time (sec) |
N/A | 1.804 | 1.735 | 0.851 | 0.000 | 0.000 | 0.000 | 0.331 | 11.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 595 | 594 | 1407 | 460 | 0 | 19825 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.36 | 0.77 | 0.00 | 33.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.088 | 2.301 | 1.366 | 0.000 | 290.822 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 491 | 496 | 916 | 394 | 0 | 11917 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.87 | 0.80 | 0.00 | 24.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.180 | 1.380 | 0.753 | 0.000 | 54.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 487 | 522 | 8958 | 411 | 0 | 7721 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 18.39 | 0.84 | 0.00 | 15.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.756 | 16.204 | 0.406 | 0.000 | 15.604 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 260 | 424 | 7491 | 347 | 0 | 4059 | 0 | 0 | 0 |
N.S. |
1 | 1.63 | 28.81 | 1.33 | 0.00 | 15.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.892 | 16.330 | 0.936 | 0.000 | 7.918 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 523 | 529 | 1095 | 451 | 0 | 7830 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 2.09 | 0.86 | 0.00 | 14.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.742 | 1.494 | 1.093 | 0.000 | 32.456 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 273 | 346 | 316 | 0 | 3615 | 0 | 4637 | 917 |
N.S. |
1 | 0.97 | 1.23 | 1.12 | 0.00 | 12.86 | 0.00 | 16.50 | 3.26 |
time (sec) |
N/A | 3.175 | 0.793 | 1.055 | 0.000 | 3.733 | 0.000 | 1.153 | 8.337 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 240 | 285 | 228 | 0 | 2053 | 0 | 4060 | 776 |
N.S. |
1 | 1.05 | 1.24 | 1.00 | 0.00 | 8.97 | 0.00 | 17.73 | 3.39 |
time (sec) |
N/A | 0.506 | 0.543 | 0.536 | 0.000 | 1.470 | 0.000 | 1.067 | 8.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 198 | 169 | 162 | 0 | 871 | 0 | 591 | 649 |
N.S. |
1 | 1.09 | 0.93 | 0.89 | 0.00 | 4.79 | 0.00 | 3.25 | 3.57 |
time (sec) |
N/A | 0.346 | 0.233 | 0.452 | 0.000 | 0.755 | 0.000 | 1.569 | 8.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 241 | 230 | 264 | 271 | 0 | 1232 | 0 | 3639 | 669 |
N.S. |
1 | 0.95 | 1.10 | 1.12 | 0.00 | 5.11 | 0.00 | 15.10 | 2.78 |
time (sec) |
N/A | 0.776 | 0.523 | 0.461 | 0.000 | 2.718 | 0.000 | 0.968 | 8.398 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 307 | 330 | 0 | 2799 | 0 | 1675 | 825 |
N.S. |
1 | 1.00 | 1.06 | 1.14 | 0.00 | 9.65 | 0.00 | 5.78 | 2.84 |
time (sec) |
N/A | 1.331 | 1.454 | 0.669 | 0.000 | 7.499 | 0.000 | 1.569 | 8.241 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 323 | 588 | 250 | 0 | 2860 | 0 | 1710 | 1024 |
N.S. |
1 | 0.99 | 1.81 | 0.77 | 0.00 | 8.80 | 0.00 | 5.26 | 3.15 |
time (sec) |
N/A | 2.031 | 0.639 | 2.124 | 0.000 | 1.303 | 0.000 | 1.418 | 8.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 262 | 412 | 262 | 0 | 1430 | 0 | 3580 | 870 |
N.S. |
1 | 1.00 | 1.57 | 1.00 | 0.00 | 5.44 | 0.00 | 13.61 | 3.31 |
time (sec) |
N/A | 1.002 | 0.411 | 0.319 | 0.000 | 0.672 | 0.000 | 1.018 | 8.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 257 | 237 | 168 | 0 | 759 | 0 | 641 | 989 |
N.S. |
1 | 1.17 | 1.08 | 0.76 | 0.00 | 3.45 | 0.00 | 2.91 | 4.50 |
time (sec) |
N/A | 0.391 | 0.299 | 0.392 | 0.000 | 0.352 | 0.000 | 1.076 | 8.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 263 | 471 | 239 | 0 | 1998 | 0 | 3965 | 1234 |
N.S. |
1 | 0.99 | 1.78 | 0.90 | 0.00 | 7.54 | 0.00 | 14.96 | 4.66 |
time (sec) |
N/A | 0.658 | 0.451 | 0.735 | 0.000 | 0.492 | 0.000 | 0.853 | 8.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 199 | 100 | 0 | 318 | 0 | 209 | 383 |
N.S. |
1 | 1.00 | 2.07 | 1.04 | 0.00 | 3.31 | 0.00 | 2.18 | 3.99 |
time (sec) |
N/A | 0.395 | 0.439 | 2.025 | 0.000 | 0.286 | 0.000 | 0.330 | 8.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 479 | 479 | 838 | 394 | 0 | 18271 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.75 | 0.82 | 0.00 | 38.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.465 | 1.372 | 1.056 | 0.000 | 142.828 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 366 | 366 | 594 | 305 | 0 | 14654 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 0.83 | 0.00 | 40.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.015 | 0.775 | 0.805 | 0.000 | 52.679 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 292 | 252 | 0 | 11094 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.85 | 0.00 | 37.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 10.674 | 0.465 | 0.000 | 9.052 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 227 | 233 | 0 | 3395 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.97 | 0.00 | 14.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 8.657 | 0.404 | 0.000 | 2.462 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 179 | 224 | 0 | 4557 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.92 | 0.00 | 18.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.330 | 0.137 | 0.379 | 0.000 | 6.168 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 271 | 266 | 0 | 6431 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.95 | 0.00 | 22.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.719 | 10.804 | 0.617 | 0.000 | 12.662 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 320 | 332 | 0 | 8187 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.97 | 0.00 | 24.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.767 | 10.590 | 0.714 | 0.000 | 62.573 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 443 | 443 | 383 | 410 | 0 | 9998 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.93 | 0.00 | 22.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.251 | 11.235 | 0.979 | 0.000 | 164.999 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 350 | 456 | 10546 | 502 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 30.13 | 1.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.326 | 21.270 | 0.606 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 343 | 449 | 382 | 0 | 14462 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.25 | 1.06 | 0.00 | 40.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.978 | 0.686 | 0.540 | 0.000 | 156.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 333 | 317 | 463 | 393 | 0 | 14146 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 1.39 | 1.18 | 0.00 | 42.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.731 | 0.636 | 0.400 | 0.000 | 111.971 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 341 | 325 | 2061 | 429 | 0 | 17249 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 6.04 | 1.26 | 0.00 | 50.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.746 | 18.246 | 0.413 | 0.000 | 217.475 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 339 | 410 | 2158 | 513 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 6.37 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.602 | 17.538 | 1.137 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 419 | 543 | 2218 | 610 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 5.29 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.452 | 17.822 | 1.315 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |