Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 164 | 206 | 323 | 390 | 0 | 317 | 150 |
N.S. | 1 | 1.00 | 0.49 | 0.61 | 0.96 | 1.16 | 0.00 | 0.94 | 0.45 |
time (sec) |
N/A | 0.226 | 0.442 | 0.062 | 0.522 | 0.347 | 0.000 | 3.957 | 4.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 336 | 336 | 164 | 206 | 332 | 389 | 0 | 304 | 150 |
N.S. | 1 | 1.00 | 0.49 | 0.61 | 0.99 | 1.16 | 0.00 | 0.90 | 0.45 |
time (sec) |
N/A | 0.226 | 0.428 | 0.063 | 0.500 | 0.353 | 0.000 | 3.286 | 4.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 206 | 323 | 396 | 0 | 317 | 149 |
N.S. | 1 | 1.00 | 0.48 | 0.61 | 0.96 | 1.18 | 0.00 | 0.95 | 0.44 |
time (sec) |
N/A | 0.230 | 0.393 | 0.080 | 0.510 | 0.360 | 0.000 | 3.672 | 4.232 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 206 | 332 | 373 | 0 | 302 | 149 |
N.S. | 1 | 1.00 | 0.48 | 0.61 | 0.99 | 1.11 | 0.00 | 0.90 | 0.44 |
time (sec) |
N/A | 0.228 | 0.378 | 0.085 | 0.527 | 0.350 | 0.000 | 4.210 | 4.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 212 | 317 | 359 | 252 | 302 | 150 |
N.S. | 1 | 1.00 | 0.48 | 0.63 | 0.95 | 1.07 | 0.75 | 0.90 | 0.45 |
time (sec) |
N/A | 0.228 | 0.273 | 0.062 | 0.505 | 0.362 | 11.487 | 3.226 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 161 | 209 | 322 | 357 | 0 | 308 | 150 |
N.S. | 1 | 1.00 | 0.48 | 0.62 | 0.96 | 1.07 | 0.00 | 0.92 | 0.45 |
time (sec) |
N/A | 0.223 | 0.264 | 0.063 | 0.512 | 0.365 | 0.000 | 3.954 | 4.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 173 | 221 | 328 | 410 | 0 | 327 | 166 |
N.S. | 1 | 1.00 | 0.49 | 0.63 | 0.93 | 1.16 | 0.00 | 0.93 | 0.47 |
time (sec) |
N/A | 0.260 | 0.486 | 0.099 | 0.510 | 0.385 | 0.000 | 4.814 | 0.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 352 | 352 | 173 | 224 | 335 | 434 | 0 | 308 | 166 |
N.S. | 1 | 1.00 | 0.49 | 0.64 | 0.95 | 1.23 | 0.00 | 0.88 | 0.47 |
time (sec) |
N/A | 0.255 | 0.464 | 0.109 | 0.513 | 0.378 | 0.000 | 6.983 | 4.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 370 | 370 | 189 | 236 | 350 | 457 | 0 | 349 | 179 |
N.S. | 1 | 1.00 | 0.51 | 0.64 | 0.95 | 1.24 | 0.00 | 0.94 | 0.48 |
time (sec) |
N/A | 0.286 | 0.495 | 0.114 | 0.511 | 0.369 | 0.000 | 5.542 | 4.327 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 420 | 420 | 227 | 269 | 421 | 515 | 0 | 374 | 248 |
N.S. |
1 | 1.00 | 0.54 | 0.64 | 1.00 | 1.23 | 0.00 | 0.89 | 0.59 |
time (sec) |
N/A | 0.346 | 0.935 | 0.148 | 0.533 | 0.348 | 0.000 | 6.562 | 4.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 216 | 250 | 394 | 515 | 0 | 354 | 231 |
N.S. |
1 | 1.00 | 0.54 | 0.62 | 0.98 | 1.28 | 0.00 | 0.88 | 0.57 |
time (sec) |
N/A | 0.318 | 0.893 | 0.142 | 0.509 | 0.371 | 0.000 | 5.718 | 0.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 402 | 402 | 216 | 252 | 403 | 479 | 0 | 340 | 231 |
N.S. |
1 | 1.00 | 0.54 | 0.63 | 1.00 | 1.19 | 0.00 | 0.85 | 0.57 |
time (sec) |
N/A | 0.308 | 0.835 | 0.123 | 0.510 | 0.365 | 0.000 | 6.358 | 4.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 205 | 235 | 377 | 486 | 0 | 352 | 213 |
N.S. |
1 | 1.00 | 0.53 | 0.61 | 0.98 | 1.26 | 0.00 | 0.91 | 0.55 |
time (sec) |
N/A | 0.288 | 0.829 | 0.084 | 0.513 | 0.375 | 0.000 | 6.297 | 0.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 385 | 385 | 205 | 241 | 386 | 489 | 0 | 339 | 213 |
N.S. |
1 | 1.00 | 0.53 | 0.63 | 1.00 | 1.27 | 0.00 | 0.88 | 0.55 |
time (sec) |
N/A | 0.278 | 0.660 | 0.089 | 0.508 | 0.389 | 0.000 | 6.361 | 4.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 205 | 238 | 383 | 506 | 0 | 355 | 210 |
N.S. |
1 | 1.00 | 0.53 | 0.61 | 0.99 | 1.30 | 0.00 | 0.91 | 0.54 |
time (sec) |
N/A | 0.289 | 0.741 | 0.096 | 0.516 | 0.349 | 0.000 | 11.854 | 4.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 186 | 238 | 392 | 505 | 0 | 342 | 210 |
N.S. |
1 | 1.00 | 0.48 | 0.61 | 1.01 | 1.30 | 0.00 | 0.88 | 0.54 |
time (sec) |
N/A | 0.286 | 0.696 | 0.082 | 0.506 | 0.345 | 0.000 | 14.295 | 0.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 186 | 236 | 385 | 518 | 0 | 355 | 208 |
N.S. | 1 | 1.00 | 0.48 | 0.60 | 0.98 | 1.32 | 0.00 | 0.91 | 0.53 |
time (sec) |
N/A | 0.293 | 0.628 | 0.086 | 0.503 | 0.368 | 0.000 | 10.905 | 4.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 391 | 391 | 186 | 236 | 394 | 513 | 0 | 342 | 208 |
N.S. | 1 | 1.00 | 0.48 | 0.60 | 1.01 | 1.31 | 0.00 | 0.87 | 0.53 |
time (sec) |
N/A | 0.284 | 0.618 | 0.080 | 0.509 | 0.373 | 0.000 | 18.071 | 4.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 186 | 236 | 385 | 520 | 0 | 355 | 207 |
N.S. | 1 | 1.00 | 0.47 | 0.60 | 0.98 | 1.32 | 0.00 | 0.90 | 0.53 |
time (sec) |
N/A | 0.290 | 0.566 | 0.081 | 0.511 | 0.367 | 0.000 | 15.021 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 394 | 394 | 186 | 236 | 394 | 513 | 0 | 342 | 207 |
N.S. | 1 | 1.00 | 0.47 | 0.60 | 1.00 | 1.30 | 0.00 | 0.87 | 0.53 |
time (sec) |
N/A | 0.292 | 0.552 | 0.079 | 0.514 | 0.370 | 0.000 | 16.389 | 4.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 183 | 238 | 383 | 512 | 0 | 355 | 209 |
N.S. | 1 | 1.00 | 0.47 | 0.61 | 0.98 | 1.32 | 0.00 | 0.91 | 0.54 |
time (sec) |
N/A | 0.296 | 0.468 | 0.082 | 0.515 | 0.348 | 0.000 | 7.904 | 4.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 183 | 238 | 392 | 485 | 0 | 340 | 209 |
N.S. | 1 | 1.00 | 0.47 | 0.61 | 1.01 | 1.25 | 0.00 | 0.87 | 0.54 |
time (sec) |
N/A | 0.291 | 0.457 | 0.079 | 0.501 | 0.370 | 0.000 | 7.478 | 0.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 183 | 244 | 377 | 469 | 547 | 340 | 210 |
N.S. | 1 | 1.00 | 0.47 | 0.63 | 0.97 | 1.21 | 1.41 | 0.88 | 0.54 |
time (sec) |
N/A | 0.296 | 0.339 | 0.079 | 0.522 | 0.376 | 33.308 | 7.660 | 4.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 183 | 241 | 382 | 475 | 0 | 346 | 210 |
N.S. | 1 | 1.00 | 0.47 | 0.62 | 0.99 | 1.23 | 0.00 | 0.89 | 0.54 |
time (sec) |
N/A | 0.287 | 0.334 | 0.080 | 0.515 | 0.377 | 0.000 | 4.898 | 4.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 404 | 404 | 195 | 253 | 388 | 544 | 0 | 365 | 226 |
N.S. | 1 | 1.00 | 0.48 | 0.63 | 0.96 | 1.35 | 0.00 | 0.90 | 0.56 |
time (sec) |
N/A | 0.326 | 0.751 | 0.156 | 0.514 | 0.369 | 0.000 | 3.829 | 0.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 404 | 404 | 195 | 256 | 395 | 568 | 0 | 356 | 226 |
N.S. | 1 | 1.00 | 0.48 | 0.63 | 0.98 | 1.41 | 0.00 | 0.88 | 0.56 |
time (sec) |
N/A | 0.330 | 0.733 | 0.136 | 0.520 | 0.372 | 0.000 | 3.198 | 4.463 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 211 | 268 | 410 | 591 | 0 | 362 | 239 |
N.S. | 1 | 1.00 | 0.50 | 0.64 | 0.97 | 1.40 | 0.00 | 0.86 | 0.57 |
time (sec) |
N/A | 0.360 | 0.741 | 0.156 | 0.526 | 0.368 | 0.000 | 3.423 | 0.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 44 | 41 | 25 | 26 | 0 | 45 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.44 | 0.27 | 0.28 | 0.00 | 0.48 | -0.01 |
time (sec) |
N/A | 0.019 | 0.020 | 0.048 | 0.288 | 0.323 | 0.000 | 4.809 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 44 | 41 | 25 | 22 | 0 | 42 | -1 |
N.S. |
1 | 1.00 | 0.47 | 0.44 | 0.27 | 0.24 | 0.00 | 0.45 | -0.01 |
time (sec) |
N/A | 0.019 | 0.017 | 0.039 | 0.293 | 0.345 | 0.000 | 4.559 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 44 | 41 | 25 | 18 | 27 | 37 | -1 |
N.S. | 1 | 1.00 | 0.47 | 0.44 | 0.27 | 0.19 | 0.29 | 0.40 | -0.01 |
time (sec) |
N/A | 0.019 | 0.017 | 0.013 | 0.283 | 0.329 | 39.238 | 4.583 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 43 | 40 | 24 | 19 | 0 | 40 | 47 |
N.S. | 1 | 1.00 | 0.47 | 0.44 | 0.26 | 0.21 | 0.00 | 0.44 | 0.52 |
time (sec) |
N/A | 0.019 | 0.016 | 0.020 | 0.280 | 0.347 | 0.000 | 4.272 | 4.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 44 | 41 | 25 | 22 | 0 | 41 | 52 |
N.S. | 1 | 1.00 | 0.48 | 0.45 | 0.27 | 0.24 | 0.00 | 0.45 | 0.57 |
time (sec) |
N/A | 0.019 | 0.017 | 0.018 | 0.284 | 0.347 | 0.000 | 4.272 | 4.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 42 | 39 | 24 | 23 | 0 | 42 | 53 |
N.S. |
1 | 1.00 | 0.46 | 0.43 | 0.26 | 0.25 | 0.00 | 0.46 | 0.58 |
time (sec) |
N/A | 0.020 | 0.018 | 0.019 | 0.283 | 0.338 | 0.000 | 3.463 | 4.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 42 | 39 | 25 | 21 | 0 | 44 | 56 |
N.S. |
1 | 1.00 | 0.46 | 0.43 | 0.27 | 0.23 | 0.00 | 0.48 | 0.62 |
time (sec) |
N/A | 0.019 | 0.018 | 0.020 | 0.280 | 0.366 | 0.000 | 3.624 | 4.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 66 | 63 | 83 | 54 | 0 | 99 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.32 | 0.43 | 0.28 | 0.00 | 0.51 | -0.01 |
time (sec) |
N/A | 0.039 | 0.029 | 0.055 | 0.284 | 0.329 | 0.000 | 3.359 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 66 | 63 | 83 | 46 | 0 | 90 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.32 | 0.43 | 0.24 | 0.00 | 0.46 | -0.01 |
time (sec) |
N/A | 0.037 | 0.025 | 0.041 | 0.297 | 0.346 | 0.000 | 2.949 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 66 | 63 | 83 | 40 | 0 | 85 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.32 | 0.43 | 0.21 | 0.00 | 0.44 | -0.01 |
time (sec) |
N/A | 0.035 | 0.023 | 0.041 | 0.292 | 0.335 | 0.000 | 2.846 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 66 | 63 | 87 | 42 | 0 | 89 | 76 |
N.S. | 1 | 1.00 | 0.34 | 0.33 | 0.45 | 0.22 | 0.00 | 0.46 | 0.39 |
time (sec) |
N/A | 0.037 | 0.023 | 0.014 | 0.295 | 0.352 | 0.000 | 3.076 | 4.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 66 | 63 | 87 | 45 | 0 | 102 | 87 |
N.S. | 1 | 1.00 | 0.35 | 0.33 | 0.46 | 0.24 | 0.00 | 0.53 | 0.46 |
time (sec) |
N/A | 0.036 | 0.028 | 0.022 | 0.284 | 0.336 | 0.000 | 3.736 | 4.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 66 | 63 | 86 | 45 | 0 | 105 | 88 |
N.S. | 1 | 1.00 | 0.34 | 0.33 | 0.45 | 0.23 | 0.00 | 0.54 | 0.46 |
time (sec) |
N/A | 0.036 | 0.029 | 0.035 | 0.295 | 0.356 | 0.000 | 3.387 | 4.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 66 | 63 | 86 | 45 | 0 | 107 | 91 |
N.S. | 1 | 1.00 | 0.35 | 0.33 | 0.45 | 0.24 | 0.00 | 0.56 | 0.48 |
time (sec) |
N/A | 0.035 | 0.028 | 0.023 | 0.296 | 0.334 | 0.000 | 3.780 | 4.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 88 | 85 | 147 | 82 | 0 | 153 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.49 | 0.28 | 0.00 | 0.52 | -0.00 |
time (sec) |
N/A | 0.056 | 0.035 | 0.041 | 0.279 | 0.346 | 0.000 | 4.007 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 88 | 85 | 147 | 70 | 0 | 138 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.49 | 0.24 | 0.00 | 0.46 | -0.00 |
time (sec) |
N/A | 0.050 | 0.031 | 0.043 | 0.297 | 0.332 | 0.000 | 3.958 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 297 | 297 | 88 | 85 | 147 | 62 | 0 | 133 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.49 | 0.21 | 0.00 | 0.45 | -0.00 |
time (sec) |
N/A | 0.053 | 0.027 | 0.044 | 0.293 | 0.328 | 0.000 | 4.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 88 | 85 | 151 | 64 | 0 | 137 | 112 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.52 | 0.22 | 0.00 | 0.47 | 0.38 |
time (sec) |
N/A | 0.052 | 0.028 | 0.015 | 0.290 | 0.365 | 0.000 | 4.004 | 4.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 88 | 85 | 151 | 67 | 0 | 156 | 116 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.51 | 0.23 | 0.00 | 0.53 | 0.39 |
time (sec) |
N/A | 0.051 | 0.031 | 0.022 | 0.288 | 0.336 | 0.000 | 3.977 | 4.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 88 | 85 | 151 | 67 | 0 | 159 | 116 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.52 | 0.23 | 0.00 | 0.54 | 0.40 |
time (sec) |
N/A | 0.057 | 0.033 | 0.021 | 0.289 | 0.359 | 0.000 | 4.091 | 4.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 295 | 295 | 88 | 85 | 150 | 67 | 0 | 162 | 118 |
N.S. | 1 | 1.00 | 0.30 | 0.29 | 0.51 | 0.23 | 0.00 | 0.55 | 0.40 |
time (sec) |
N/A | 0.052 | 0.039 | 0.043 | 0.297 | 0.357 | 0.000 | 4.534 | 4.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 457 | 457 | 163 | 239 | 266 | 223 | 0 | 273 | -1 |
N.S. |
1 | 1.00 | 0.36 | 0.52 | 0.58 | 0.49 | 0.00 | 0.60 | -0.00 |
time (sec) |
N/A | 0.209 | 0.173 | 0.152 | 0.497 | 0.363 | 0.000 | 5.096 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 151 | 221 | 241 | 219 | 0 | 254 | -1 |
N.S. |
1 | 1.00 | 0.37 | 0.54 | 0.58 | 0.53 | 0.00 | 0.62 | -0.00 |
time (sec) |
N/A | 0.192 | 0.145 | 0.150 | 0.506 | 0.363 | 0.000 | 2.971 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 150 | 214 | 250 | 170 | 0 | 238 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.52 | 0.61 | 0.41 | 0.00 | 0.58 | -0.00 |
time (sec) |
N/A | 0.186 | 0.143 | 0.136 | 0.511 | 0.366 | 0.000 | 3.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 123 | 183 | 216 | 173 | 41 | 242 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.50 | 0.59 | 0.47 | 0.11 | 0.66 | -0.00 |
time (sec) |
N/A | 0.166 | 0.112 | 0.132 | 0.509 | 0.355 | 15.625 | 4.319 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 125 | 182 | 226 | 165 | 0 | 251 | -1 |
N.S. | 1 | 1.00 | 0.34 | 0.49 | 0.61 | 0.45 | 0.00 | 0.68 | -0.00 |
time (sec) |
N/A | 0.158 | 0.111 | 0.127 | 0.496 | 0.376 | 0.000 | 3.688 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 150 | 224 | 234 | 198 | 0 | 264 | -1 |
N.S. | 1 | 1.00 | 0.36 | 0.54 | 0.57 | 0.48 | 0.00 | 0.64 | -0.00 |
time (sec) |
N/A | 0.191 | 0.147 | 0.137 | 0.495 | 0.360 | 0.000 | 3.078 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 414 | 414 | 152 | 239 | 242 | 227 | 0 | 256 | -1 |
N.S. |
1 | 1.00 | 0.37 | 0.58 | 0.58 | 0.55 | 0.00 | 0.62 | -0.00 |
time (sec) |
N/A | 0.189 | 0.155 | 0.135 | 0.506 | 0.359 | 0.000 | 3.911 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 160 | 251 | 259 | 253 | 0 | 284 | -1 |
N.S. |
1 | 1.00 | 0.35 | 0.55 | 0.56 | 0.55 | 0.00 | 0.62 | -0.00 |
time (sec) |
N/A | 0.217 | 0.167 | 0.130 | 0.505 | 0.347 | 0.000 | 4.049 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 551 | 551 | 206 | 737 | 0 | 341 | 0 | 377 | -1 |
N.S. |
1 | 1.00 | 0.37 | 1.34 | 0.00 | 0.62 | 0.00 | 0.68 | -0.00 |
time (sec) |
N/A | 0.269 | 0.368 | 0.067 | 0.000 | 0.345 | 0.000 | 3.567 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 504 | 504 | 195 | 679 | 0 | 341 | 0 | 357 | -1 |
N.S. |
1 | 1.00 | 0.39 | 1.35 | 0.00 | 0.68 | 0.00 | 0.71 | -0.00 |
time (sec) |
N/A | 0.247 | 0.377 | 0.069 | 0.000 | 0.372 | 0.000 | 3.130 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 504 | 504 | 195 | 696 | 0 | 305 | 0 | 343 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.38 | 0.00 | 0.61 | 0.00 | 0.68 | -0.00 |
time (sec) |
N/A | 0.241 | 0.364 | 0.070 | 0.000 | 0.375 | 0.000 | 3.618 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 458 | 458 | 184 | 612 | 0 | 312 | 0 | 345 | -1 |
N.S. | 1 | 1.00 | 0.40 | 1.34 | 0.00 | 0.68 | 0.00 | 0.75 | -0.00 |
time (sec) |
N/A | 0.224 | 0.354 | 0.043 | 0.000 | 0.398 | 0.000 | 4.263 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 458 | 458 | 184 | 666 | 279 | 315 | 0 | 332 | -1 |
N.S. | 1 | 1.00 | 0.40 | 1.45 | 0.61 | 0.69 | 0.00 | 0.72 | -0.00 |
time (sec) |
N/A | 0.211 | 0.348 | 0.043 | 0.529 | 0.389 | 0.000 | 4.781 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 179 | 617 | 272 | 326 | 0 | 348 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.34 | 0.59 | 0.71 | 0.00 | 0.76 | -0.00 |
time (sec) |
N/A | 0.220 | 0.343 | 0.043 | 0.528 | 0.346 | 0.000 | 3.550 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 459 | 459 | 180 | 668 | 281 | 308 | 0 | 332 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.46 | 0.61 | 0.67 | 0.00 | 0.72 | -0.00 |
time (sec) |
N/A | 0.212 | 0.333 | 0.044 | 0.532 | 0.354 | 0.000 | 4.221 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 181 | 617 | 265 | 304 | 0 | 333 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.34 | 0.58 | 0.66 | 0.00 | 0.72 | -0.00 |
time (sec) |
N/A | 0.225 | 0.240 | 0.040 | 0.523 | 0.341 | 0.000 | 4.584 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 181 | 638 | 0 | 298 | 0 | 339 | -1 |
N.S. | 1 | 1.00 | 0.39 | 1.39 | 0.00 | 0.65 | 0.00 | 0.74 | -0.00 |
time (sec) |
N/A | 0.219 | 0.228 | 0.039 | 0.000 | 0.355 | 0.000 | 3.823 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 193 | 645 | 0 | 343 | 0 | 368 | -1 |
N.S. | 1 | 1.00 | 0.38 | 1.27 | 0.00 | 0.68 | 0.00 | 0.73 | -0.00 |
time (sec) |
N/A | 0.252 | 0.378 | 0.069 | 0.000 | 0.367 | 0.000 | 3.928 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 506 | 506 | 193 | 707 | 0 | 367 | 0 | 359 | -1 |
N.S. | 1 | 1.00 | 0.38 | 1.40 | 0.00 | 0.73 | 0.00 | 0.71 | -0.00 |
time (sec) |
N/A | 0.248 | 0.375 | 0.074 | 0.000 | 0.371 | 0.000 | 3.710 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 553 | 553 | 204 | 687 | 0 | 390 | 0 | 390 | -1 |
N.S. | 1 | 1.00 | 0.37 | 1.24 | 0.00 | 0.71 | 0.00 | 0.71 | -0.00 |
time (sec) |
N/A | 0.274 | 0.383 | 0.069 | 0.000 | 0.366 | 0.000 | 4.077 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 647 | 647 | 229 | 1287 | 0 | 457 | 0 | 415 | -1 |
N.S. |
1 | 1.00 | 0.35 | 1.99 | 0.00 | 0.71 | 0.00 | 0.64 | -0.00 |
time (sec) |
N/A | 0.331 | 0.730 | 0.086 | 0.000 | 0.369 | 0.000 | 4.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 600 | 600 | 218 | 1171 | 0 | 457 | 0 | 395 | -1 |
N.S. |
1 | 1.00 | 0.36 | 1.95 | 0.00 | 0.76 | 0.00 | 0.66 | -0.00 |
time (sec) |
N/A | 0.311 | 0.670 | 0.080 | 0.000 | 0.363 | 0.000 | 4.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 600 | 600 | 218 | 1202 | 0 | 421 | 0 | 381 | -1 |
N.S. |
1 | 1.00 | 0.36 | 2.00 | 0.00 | 0.70 | 0.00 | 0.64 | -0.00 |
time (sec) |
N/A | 0.310 | 0.626 | 0.091 | 0.000 | 0.377 | 0.000 | 4.541 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 554 | 554 | 207 | 1046 | 0 | 428 | 0 | 383 | -1 |
N.S. |
1 | 1.00 | 0.37 | 1.89 | 0.00 | 0.77 | 0.00 | 0.69 | -0.00 |
time (sec) |
N/A | 0.281 | 0.551 | 0.048 | 0.000 | 0.371 | 0.000 | 3.089 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 554 | 554 | 201 | 1134 | 583 | 431 | 0 | 370 | -1 |
N.S. |
1 | 1.00 | 0.36 | 2.05 | 1.05 | 0.78 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.279 | 0.577 | 0.051 | 0.560 | 0.364 | 0.000 | 3.781 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1051 | 577 | 448 | 0 | 386 | -1 |
N.S. |
1 | 1.00 | 0.36 | 1.89 | 1.04 | 0.80 | 0.00 | 0.69 | -0.00 |
time (sec) |
N/A | 0.283 | 0.569 | 0.048 | 0.560 | 0.395 | 0.000 | 3.759 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 202 | 1136 | 595 | 447 | 0 | 373 | -1 |
N.S. | 1 | 1.00 | 0.36 | 2.04 | 1.07 | 0.80 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.278 | 0.576 | 0.048 | 0.551 | 0.355 | 0.000 | 2.676 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 560 | 560 | 201 | 1051 | 584 | 462 | 0 | 386 | -1 |
N.S. | 1 | 1.00 | 0.36 | 1.88 | 1.04 | 0.82 | 0.00 | 0.69 | -0.00 |
time (sec) |
N/A | 0.289 | 0.488 | 0.048 | 0.556 | 0.354 | 0.000 | 2.847 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 560 | 560 | 201 | 1136 | 597 | 455 | 0 | 373 | -1 |
N.S. | 1 | 1.00 | 0.36 | 2.03 | 1.07 | 0.81 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.284 | 0.470 | 0.048 | 0.555 | 0.342 | 0.000 | 3.568 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1051 | 582 | 454 | 0 | 386 | -1 |
N.S. | 1 | 1.00 | 0.36 | 1.89 | 1.04 | 0.82 | 0.00 | 0.69 | -0.00 |
time (sec) |
N/A | 0.290 | 0.461 | 0.047 | 0.551 | 0.361 | 0.000 | 4.518 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 557 | 557 | 201 | 1136 | 586 | 429 | 0 | 371 | -1 |
N.S. | 1 | 1.00 | 0.36 | 2.04 | 1.05 | 0.77 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.283 | 0.439 | 0.047 | 0.550 | 0.361 | 0.000 | 2.914 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 556 | 556 | 201 | 1051 | 569 | 414 | 0 | 371 | -1 |
N.S. | 1 | 1.00 | 0.36 | 1.89 | 1.02 | 0.74 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.287 | 0.304 | 0.046 | 0.540 | 0.363 | 0.000 | 3.879 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 556 | 556 | 201 | 1133 | 0 | 416 | 0 | 377 | -1 |
N.S. | 1 | 1.00 | 0.36 | 2.04 | 0.00 | 0.75 | 0.00 | 0.68 | -0.00 |
time (sec) |
N/A | 0.281 | 0.294 | 0.048 | 0.000 | 0.353 | 0.000 | 4.114 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 602 | 602 | 213 | 1081 | 0 | 477 | 0 | 406 | -1 |
N.S. | 1 | 1.00 | 0.35 | 1.80 | 0.00 | 0.79 | 0.00 | 0.67 | -0.00 |
time (sec) |
N/A | 0.310 | 0.605 | 0.084 | 0.000 | 0.364 | 0.000 | 3.901 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 602 | 602 | 213 | 1183 | 0 | 501 | 0 | 397 | -1 |
N.S. | 1 | 1.00 | 0.35 | 1.97 | 0.00 | 0.83 | 0.00 | 0.66 | -0.00 |
time (sec) |
N/A | 0.317 | 0.578 | 0.076 | 0.000 | 0.364 | 0.000 | 4.467 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 649 | 649 | 224 | 1129 | 0 | 524 | 0 | 428 | -1 |
N.S. | 1 | 1.00 | 0.35 | 1.74 | 0.00 | 0.81 | 0.00 | 0.66 | -0.00 |
time (sec) |
N/A | 0.355 | 0.594 | 0.085 | 0.000 | 0.359 | 0.000 | 4.395 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 105 | 602 | 144 | 507 | 3104 | 847 | 540 |
N.S. | 1 | 1.00 | 0.70 | 4.01 | 0.96 | 3.38 | 20.69 | 5.65 | 3.60 |
time (sec) |
N/A | 0.082 | 0.182 | 0.018 | 0.293 | 0.342 | 0.950 | 4.430 | 4.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 73 | 292 | 100 | 253 | 1278 | 415 | 263 |
N.S. | 1 | 1.00 | 0.70 | 2.81 | 0.96 | 2.43 | 12.29 | 3.99 | 2.53 |
time (sec) |
N/A | 0.052 | 0.059 | 0.014 | 0.286 | 0.353 | 0.514 | 2.578 | 4.513 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 41 | 57 | 56 | 87 | 330 | 135 | 95 |
N.S. | 1 | 1.00 | 0.71 | 0.98 | 0.97 | 1.50 | 5.69 | 2.33 | 1.64 |
time (sec) |
N/A | 0.016 | 0.041 | 0.015 | 0.289 | 0.363 | 0.239 | 3.031 | 4.270 |
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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.013 | 0.025 | 0.020 | 0.000 | 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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.012 | 0.026 | 0.005 | 0.000 | 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 | 44 | 44 | 42 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.013 | 0.030 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 313 | 313 | 111 | 453 | 243 | 369 | 0 | 900 | -1 |
N.S. | 1 | 1.00 | 0.35 | 1.45 | 0.78 | 1.18 | 0.00 | 2.88 | -0.00 |
time (sec) |
N/A | 0.082 | 0.119 | 0.033 | 0.302 | 0.383 | 0.000 | 4.447 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 131 | 199 | 119 | 159 | 0 | 384 | -1 |
N.S. | 1 | 1.00 | 0.64 | 0.97 | 0.58 | 0.78 | 0.00 | 1.87 | -0.00 |
time (sec) |
N/A | 0.054 | 0.071 | 0.014 | 0.284 | 0.358 | 0.000 | 2.734 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 53 | 56 | 35 | 35 | 0 | 83 | -1 |
N.S. | 1 | 1.00 | 0.55 | 0.58 | 0.36 | 0.36 | 0.00 | 0.86 | -0.01 |
time (sec) |
N/A | 0.025 | 0.029 | 0.010 | 0.281 | 0.348 | 0.000 | 3.568 | 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 | 73 | 73 | 62 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.022 | 0.032 | 0.010 | 0.000 | 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 | 73 | 73 | 60 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.023 | 0.034 | 0.006 | 0.000 | 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 | 73 | 73 | 60 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.023 | 0.035 | 0.006 | 0.000 | 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 | 74 | 77 | 66 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.04 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.018 | 0.029 | 0.025 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 110 | 150 | 115 | 163 | 0 | 375 | 206 |
N.S. | 1 | 1.00 | 0.63 | 0.86 | 0.66 | 0.94 | 0.00 | 2.16 | 1.18 |
time (sec) |
N/A | 0.078 | 0.068 | 0.039 | 0.304 | 0.348 | 0.000 | 3.773 | 4.403 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 77 | 96 | 79 | 108 | 0 | 235 | 137 |
N.S. | 1 | 1.00 | 0.59 | 0.74 | 0.61 | 0.83 | 0.00 | 1.81 | 1.05 |
time (sec) |
N/A | 0.055 | 0.052 | 0.030 | 0.271 | 0.356 | 0.000 | 2.567 | 4.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 51 | 58 | 54 | 70 | 0 | 132 | 85 |
N.S. | 1 | 1.00 | 0.61 | 0.69 | 0.64 | 0.83 | 0.00 | 1.57 | 1.01 |
time (sec) |
N/A | 0.039 | 0.039 | 0.023 | 0.286 | 0.336 | 0.000 | 3.211 | 4.264 |