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 | B | A | B | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 150 | 155 | 182 | 347 | 204 | 269 | 0 | 0 |
N.S. |
1 | 1.11 | 1.15 | 1.35 | 2.57 | 1.51 | 1.99 | 0.00 | 0.00 |
time (sec) |
N/A | 0.639 | 0.206 | 0.085 | 0.222 | 0.275 | 0.432 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 137 | 135 | 166 | 230 | 178 | 224 | 0 | 0 |
N.S. |
1 | 1.10 | 1.08 | 1.33 | 1.84 | 1.42 | 1.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.108 | 0.067 | 0.212 | 0.275 | 0.235 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 228 | 226 | 415 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.37 | 1.36 | 2.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.390 | 0.292 | 0.171 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 167 | 192 | 239 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 1.47 | 1.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.166 | 0.316 | 0.120 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 227 | 241 | 404 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 1.34 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.651 | 0.226 | 0.195 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 208 | 245 | 240 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 1.55 | 1.52 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.163 | 0.609 | 0.171 | 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 | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 386 | 506 | 251 | 427 | 760 | 368 | 563 | 0 | 0 |
N.S. |
1 | 1.31 | 0.65 | 1.11 | 1.97 | 0.95 | 1.46 | 0.00 | 0.00 |
time (sec) |
N/A | 2.439 | 0.269 | 0.299 | 0.225 | 0.291 | 1.676 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 296 | 583 | 237 | 343 | 762 | 348 | 515 | 0 | 0 |
N.S. |
1 | 1.97 | 0.80 | 1.16 | 2.57 | 1.18 | 1.74 | 0.00 | 0.00 |
time (sec) |
N/A | 2.443 | 0.240 | 0.217 | 0.251 | 0.280 | 1.320 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 380 | 227 | 345 | 619 | 327 | 483 | 0 | 0 |
N.S. |
1 | 1.25 | 0.75 | 1.14 | 2.04 | 1.08 | 1.59 | 0.00 | 0.00 |
time (sec) |
N/A | 1.878 | 1.131 | 0.237 | 0.221 | 0.290 | 0.982 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 208 | 247 | 621 | 307 | 430 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 1.21 | 3.04 | 1.50 | 2.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.826 | 1.155 | 0.250 | 0.242 | 0.296 | 0.788 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 239 | 191 | 264 | 457 | 278 | 389 | 0 | 0 |
N.S. |
1 | 1.12 | 0.89 | 1.23 | 2.14 | 1.30 | 1.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.918 | 0.926 | 0.202 | 0.234 | 0.285 | 0.461 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 257 | 378 | 326 | 573 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.47 | 1.27 | 2.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.492 | 0.411 | 0.310 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 302 | 306 | 364 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.32 | 1.34 | 1.59 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.079 | 0.878 | 0.243 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 272 | 375 | 329 | 584 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 1.21 | 2.15 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.611 | 0.754 | 0.277 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 348 | 357 | 363 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.40 | 1.44 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.162 | 0.662 | 0.257 | 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 | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 465 | 692 | 299 | 519 | 1109 | 444 | 702 | 0 | 0 |
N.S. |
1 | 1.49 | 0.64 | 1.12 | 2.38 | 0.95 | 1.51 | 0.00 | 0.00 |
time (sec) |
N/A | 3.823 | 0.284 | 0.306 | 0.231 | 0.284 | 3.485 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 376 | 899 | 285 | 414 | 1112 | 424 | 654 | 0 | 0 |
N.S. |
1 | 2.39 | 0.76 | 1.10 | 2.96 | 1.13 | 1.74 | 0.00 | 0.00 |
time (sec) |
N/A | 3.902 | 0.280 | 0.295 | 0.275 | 0.269 | 2.552 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 382 | 526 | 275 | 437 | 922 | 403 | 626 | 0 | 0 |
N.S. |
1 | 1.38 | 0.72 | 1.14 | 2.41 | 1.05 | 1.64 | 0.00 | 0.00 |
time (sec) |
N/A | 2.897 | 1.295 | 0.234 | 0.249 | 0.264 | 1.809 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 261 | 254 | 256 | 306 | 925 | 383 | 573 | 0 | 0 |
N.S. |
1 | 0.97 | 0.98 | 1.17 | 3.54 | 1.47 | 2.20 | 0.00 | 0.00 |
time (sec) |
N/A | 1.064 | 1.376 | 0.220 | 0.247 | 0.264 | 1.392 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 342 | 239 | 354 | 712 | 354 | 524 | 0 | 0 |
N.S. |
1 | 1.18 | 0.82 | 1.22 | 2.45 | 1.22 | 1.80 | 0.00 | 0.00 |
time (sec) |
N/A | 1.323 | 1.227 | 0.234 | 0.220 | 0.298 | 0.897 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 337 | 570 | 419 | 687 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.69 | 1.24 | 2.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.094 | 0.693 | 0.330 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 307 | 451 | 466 | 463 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.47 | 1.52 | 1.51 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.171 | 1.074 | 0.281 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 354 | 0 | 496 | 772 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.40 | 2.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.621 | 0.335 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 529 | 461 | 468 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.62 | 1.41 | 1.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.435 | 0.792 | 0.257 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 277 | 290 | 365 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.910 | 0.828 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 294 | 343 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.48 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.567 | 0.346 | 0.283 | 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 | 198 | 173 | 317 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.139 | 0.454 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 281 | 180 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.68 | 1.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.571 | 0.210 | 0.210 | 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 | 138 | 111 | 274 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 1.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.491 | 0.184 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 121 | 400 | 392 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 3.45 | 3.38 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.606 | 0.276 | 0.244 | 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 | 204 | 186 | 363 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.490 | 0.803 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 183 | 411 | 540 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 2.12 | 2.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.440 | 1.043 | 0.273 | 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 | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 297 | 310 | 602 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.497 | 7.325 | 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(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 279 | 284 | 482 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.880 | 1.542 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 214 | 320 | 320 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.50 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.648 | 0.741 | 0.257 | 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 | 213 | 191 | 385 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 1.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.187 | 1.470 | 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 | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 82 | 145 | 147 | 0 | 185 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 1.71 | 1.73 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.454 | 0.219 | 0.000 | 0.269 | 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 | 210 | 187 | 403 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 1.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.157 | 1.307 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 199 | 428 | 532 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 2.22 | 2.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.120 | 1.652 | 0.263 | 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 | 287 | 305 | 549 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.827 | 7.056 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 311 | 506 | 586 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 2.00 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.921 | 1.543 | 0.295 | 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 | 401 | 484 | 764 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 1.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.391 | 8.041 | 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 | 320 | 329 | 552 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.054 | 2.354 | 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 | A | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 181 | 186 | 272 | 0 | 283 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.11 | 1.63 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.878 | 0.323 | 0.268 | 0.000 | 0.278 | 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 | 297 | 550 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.888 | 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 | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 145 | 135 | 152 | 227 | 0 | 273 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.05 | 1.57 | 0.00 | 1.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.503 | 0.466 | 0.232 | 0.000 | 0.272 | 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 | 309 | 289 | 546 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.783 | 2.415 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 275 | 324 | 560 | 676 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 2.04 | 2.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.026 | 3.163 | 0.311 | 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 | 389 | 466 | 716 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.187 | 7.508 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 381 | 482 | 701 | 832 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 1.84 | 2.18 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.447 | 7.930 | 0.358 | 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 | 529 | 727 | 937 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.37 | 1.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 6.154 | 8.997 | 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 | A | F(-2) | F | B | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 300 | 410 | 284 | 397 | 0 | 0 | 583 | 0 | 0 |
N.S. |
1 | 1.37 | 0.95 | 1.32 | 0.00 | 0.00 | 1.94 | 0.00 | 0.00 |
time (sec) |
N/A | 1.426 | 1.871 | 0.197 | 0.000 | 0.000 | 28.503 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F | B | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 253 | 202 | 289 | 0 | 0 | 405 | 0 | 0 |
N.S. |
1 | 1.20 | 0.96 | 1.38 | 0.00 | 0.00 | 1.93 | 0.00 | 0.00 |
time (sec) |
N/A | 0.951 | 0.999 | 0.185 | 0.000 | 0.000 | 2.912 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 119 | 124 | 179 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.02 | 1.47 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.497 | 0.505 | 0.198 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 72 | 47 | 0 | 90 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.88 | 1.88 | 0.00 | 3.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.021 | 0.207 | 0.219 | 0.000 | 0.896 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 108 | 153 | 243 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.47 | 2.34 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 0.604 | 0.259 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 208 | 293 | 1729 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.44 | 8.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.203 | 0.798 | 0.256 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 358 | 351 | 222 | 1162 | 302 | 316 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.62 | 3.25 | 0.84 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.508 | 0.259 | 0.377 | 0.226 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 295 | 207 | 618 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.71 | 2.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.274 | 1.301 | 0.273 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 144 | 166 | 657 | 183 | 249 | 0 | 0 | 0 |
N.S. |
1 | 0.80 | 0.92 | 3.65 | 1.02 | 1.38 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.463 | 0.449 | 0.261 | 0.217 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 163 | 200 | 480 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 1.09 | 2.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 1.019 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 338 | 212 | 352 | 764 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 1.04 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 0.977 | 0.323 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 192 | 232 | 579 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 1.11 | 2.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.171 | 1.243 | 0.286 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 358 | 224 | 446 | 755 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 1.25 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.291 | 3.786 | 0.349 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 219 | 240 | 1729 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 0.82 | 5.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.010 | 0.681 | 0.335 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 482 | 541 | 251 | 1766 | 346 | 402 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.52 | 3.66 | 0.72 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.657 | 0.370 | 0.388 | 0.230 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 405 | 495 | 508 | 1552 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 1.25 | 3.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.308 | 2.111 | 0.361 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 183 | 198 | 1149 | 230 | 332 | 0 | 0 | 0 |
N.S. |
1 | 0.69 | 0.74 | 4.30 | 0.86 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.568 | 1.239 | 0.374 | 0.227 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 294 | 320 | 329 | 959 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.12 | 3.26 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.066 | 2.341 | 0.262 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 498 | 351 | 520 | 1053 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.70 | 1.04 | 2.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.891 | 1.782 | 0.352 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 398 | 381 | 369 | 473 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.93 | 1.19 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.949 | 3.497 | 0.309 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 541 | 348 | 771 | 933 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.64 | 1.43 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.966 | 7.791 | 0.369 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 414 | 458 | 1929 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.21 | 5.10 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.580 | 1.322 | 0.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 625 | 771 | 277 | 2014 | 390 | 525 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 0.44 | 3.22 | 0.62 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.224 | 0.448 | 0.401 | 0.223 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 536 | 743 | 619 | 2280 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.39 | 1.15 | 4.25 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.734 | 2.836 | 0.404 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 366 | 220 | 224 | 1773 | 274 | 446 | 0 | 0 | 0 |
N.S. |
1 | 0.60 | 0.61 | 4.84 | 0.75 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.702 | 1.393 | 0.370 | 0.228 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 420 | 502 | 499 | 1568 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.20 | 1.19 | 3.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.689 | 2.296 | 0.303 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 635 | 530 | 757 | 1321 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 1.19 | 2.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.227 | 3.560 | 0.323 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 530 | 622 | 550 | 589 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.04 | 1.11 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.475 | 2.788 | 0.345 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 687 | 526 | 990 | 720 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.77 | 1.44 | 1.05 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.355 | 8.037 | 0.331 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F(-2) | F | F | F(-2) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 561 | 0 | 616 | 2297 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.10 | 4.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.220 | 0.385 | 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 | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 221 | 98 | 125 | 0 | 131 | 146 | 0 | 0 |
N.S. |
1 | 1.44 | 0.64 | 0.82 | 0.00 | 0.86 | 0.95 | 0.00 | 0.00 |
time (sec) |
N/A | 1.025 | 0.055 | 0.216 | 0.000 | 0.279 | 0.592 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 154 | 79 | 113 | 101 | 98 | 121 | 0 | 0 |
N.S. |
1 | 1.26 | 0.65 | 0.93 | 0.83 | 0.80 | 0.99 | 0.00 | 0.00 |
time (sec) |
N/A | 0.737 | 0.043 | 0.266 | 0.218 | 0.265 | 0.462 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 96 | 72 | 69 | 0 | 102 | 78 | 0 | 0 |
N.S. |
1 | 1.10 | 0.83 | 0.79 | 0.00 | 1.17 | 0.90 | 0.00 | 0.00 |
time (sec) |
N/A | 0.507 | 0.035 | 0.188 | 0.000 | 0.248 | 0.391 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 54 | 48 | 64 | 48 | 70 | 49 | 74 | 0 |
N.S. |
1 | 1.04 | 0.92 | 1.23 | 0.92 | 1.35 | 0.94 | 1.42 | 0.00 |
time (sec) |
N/A | 0.300 | 0.027 | 0.276 | 0.196 | 0.248 | 0.333 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 23 | 10 | 0 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.77 | 0.77 | 0.00 | 0.85 |
time (sec) |
N/A | 0.197 | 0.007 | 0.202 | 0.189 | 0.275 | 0.234 | 0.000 | 3.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 80 | 100 | 144 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.18 | 1.47 | 2.12 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.487 | 0.117 | 0.276 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 83 | 65 | 132 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.26 | 0.98 | 2.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.536 | 0.264 | 0.190 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 141 | 188 | 233 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.39 | 1.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.950 | 0.919 | 0.302 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 383 | 397 | 230 | 1227 | 353 | 319 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.60 | 3.20 | 0.92 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.642 | 0.308 | 0.331 | 0.213 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 323 | 337 | 268 | 992 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.83 | 3.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.423 | 1.047 | 0.256 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 236 | 176 | 706 | 243 | 254 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.66 | 2.66 | 0.92 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.907 | 0.295 | 0.291 | 0.215 | 0.292 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 171 | 198 | 506 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.84 | 0.97 | 2.48 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.651 | 1.197 | 0.230 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 95 | 127 | 296 | 125 | 179 | 0 | 0 | 0 |
N.S. |
1 | 0.69 | 0.92 | 2.14 | 0.91 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.337 | 0.571 | 0.236 | 0.202 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 115 | 120 | 47 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.45 | 2.55 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.146 | 0.211 | 0.202 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 125 | 266 | 546 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.56 | 1.19 | 2.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.631 | 0.762 | 0.281 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 150 | 168 | 478 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 1.01 | 2.86 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.744 | 0.687 | 0.263 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 227 | 455 | 780 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.63 | 1.26 | 2.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.369 | 3.807 | 0.307 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | B | F | F | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 263 | 278 | 1506 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.93 | 5.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.412 | 0.611 | 0.309 | 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 | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 515 | 477 | 427 | 520 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.83 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.826 | 0.810 | 0.325 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |