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 | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 142 | 230 | 277 | 0 | 516 | 0 | 438 | 225 |
N.S. |
1 | 1.08 | 1.76 | 2.11 | 0.00 | 3.94 | 0.00 | 3.34 | 1.72 |
time (sec) |
N/A | 0.298 | 0.563 | 3.102 | 0.000 | 0.283 | 0.000 | 0.296 | 9.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 162 | 223 | 294 | 0 | 980 | 0 | 504 | 179 |
N.S. |
1 | 1.13 | 1.56 | 2.06 | 0.00 | 6.85 | 0.00 | 3.52 | 1.25 |
time (sec) |
N/A | 0.317 | 0.384 | 2.562 | 0.000 | 0.263 | 0.000 | 0.295 | 0.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 162 | 218 | 294 | 0 | 1083 | 0 | 507 | 183 |
N.S. |
1 | 1.13 | 1.52 | 2.06 | 0.00 | 7.57 | 0.00 | 3.55 | 1.28 |
time (sec) |
N/A | 0.330 | 0.606 | 2.877 | 0.000 | 0.277 | 0.000 | 0.289 | 9.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 172 | 205 | 260 | 323 | 0 | 1884 | 0 | 650 | 264 |
N.S. |
1 | 1.19 | 1.51 | 1.88 | 0.00 | 10.95 | 0.00 | 3.78 | 1.53 |
time (sec) |
N/A | 0.380 | 0.655 | 2.820 | 0.000 | 0.289 | 0.000 | 0.302 | 9.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 207 | 268 | 323 | 0 | 2171 | 0 | 646 | 2280 |
N.S. |
1 | 1.19 | 1.54 | 1.86 | 0.00 | 12.48 | 0.00 | 3.71 | 13.10 |
time (sec) |
N/A | 0.382 | 0.692 | 2.974 | 0.000 | 0.287 | 0.000 | 0.301 | 9.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 203 | 250 | 298 | 350 | 0 | 3285 | 0 | 779 | 336 |
N.S. |
1 | 1.23 | 1.47 | 1.72 | 0.00 | 16.18 | 0.00 | 3.84 | 1.66 |
time (sec) |
N/A | 0.478 | 0.876 | 2.570 | 0.000 | 0.306 | 0.000 | 0.309 | 9.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 244 | 343 | 432 | 0 | 1426 | 0 | 753 | 364 |
N.S. |
1 | 1.10 | 1.55 | 1.95 | 0.00 | 6.42 | 0.00 | 3.39 | 1.64 |
time (sec) |
N/A | 0.482 | 1.644 | 2.789 | 0.000 | 0.292 | 0.000 | 0.338 | 9.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 242 | 353 | 432 | 0 | 1029 | 0 | 753 | 966 |
N.S. |
1 | 1.09 | 1.59 | 1.95 | 0.00 | 4.64 | 0.00 | 3.39 | 4.35 |
time (sec) |
N/A | 0.447 | 1.857 | 2.797 | 0.000 | 0.287 | 0.000 | 0.315 | 0.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 213 | 292 | 361 | 0 | 853 | 0 | 521 | 264 |
N.S. |
1 | 1.10 | 1.51 | 1.87 | 0.00 | 4.42 | 0.00 | 2.70 | 1.37 |
time (sec) |
N/A | 0.408 | 1.596 | 2.982 | 0.000 | 0.388 | 0.000 | 0.327 | 9.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 211 | 298 | 359 | 0 | 552 | 0 | 521 | 720 |
N.S. |
1 | 1.10 | 1.56 | 1.88 | 0.00 | 2.89 | 0.00 | 2.73 | 3.77 |
time (sec) |
N/A | 0.401 | 1.486 | 3.522 | 0.000 | 0.376 | 0.000 | 0.322 | 0.215 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 181 | 257 | 309 | 0 | 543 | 0 | 510 | 215 |
N.S. |
1 | 1.06 | 1.51 | 1.82 | 0.00 | 3.19 | 0.00 | 3.00 | 1.26 |
time (sec) |
N/A | 0.371 | 1.222 | 2.725 | 0.000 | 0.370 | 0.000 | 0.320 | 9.462 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 181 | 263 | 309 | 0 | 696 | 0 | 510 | 309 |
N.S. |
1 | 1.06 | 1.55 | 1.82 | 0.00 | 4.09 | 0.00 | 3.00 | 1.82 |
time (sec) |
N/A | 0.349 | 1.112 | 2.767 | 0.000 | 0.381 | 0.000 | 0.313 | 9.413 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 201 | 267 | 324 | 0 | 1296 | 0 | 567 | 251 |
N.S. |
1 | 1.13 | 1.50 | 1.82 | 0.00 | 7.28 | 0.00 | 3.19 | 1.41 |
time (sec) |
N/A | 0.376 | 1.509 | 2.792 | 0.000 | 0.565 | 0.000 | 0.316 | 0.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 178 | 201 | 261 | 324 | 0 | 1345 | 0 | 567 | 255 |
N.S. |
1 | 1.13 | 1.47 | 1.82 | 0.00 | 7.56 | 0.00 | 3.19 | 1.43 |
time (sec) |
N/A | 0.370 | 1.337 | 2.949 | 0.000 | 0.293 | 0.000 | 0.306 | 9.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 220 | 266 | 373 | 0 | 1980 | 0 | 645 | 320 |
N.S. |
1 | 1.15 | 1.39 | 1.94 | 0.00 | 10.31 | 0.00 | 3.36 | 1.67 |
time (sec) |
N/A | 0.382 | 0.929 | 2.859 | 0.000 | 0.280 | 0.000 | 0.304 | 9.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 220 | 272 | 373 | 0 | 1991 | 0 | 645 | 317 |
N.S. |
1 | 1.15 | 1.42 | 1.94 | 0.00 | 10.37 | 0.00 | 3.36 | 1.65 |
time (sec) |
N/A | 0.416 | 0.825 | 2.612 | 0.000 | 0.288 | 0.000 | 0.294 | 0.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 223 | 263 | 300 | 355 | 0 | 3252 | 0 | 813 | 421 |
N.S. |
1 | 1.18 | 1.35 | 1.59 | 0.00 | 14.58 | 0.00 | 3.65 | 1.89 |
time (sec) |
N/A | 0.459 | 1.200 | 2.702 | 0.000 | 0.313 | 0.000 | 0.318 | 9.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 265 | 306 | 355 | 0 | 3517 | 0 | 813 | 3227 |
N.S. |
1 | 1.18 | 1.36 | 1.58 | 0.00 | 15.63 | 0.00 | 3.61 | 14.34 |
time (sec) |
N/A | 0.446 | 1.365 | 2.867 | 0.000 | 0.329 | 0.000 | 0.313 | 9.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-2) | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 256 | 308 | 355 | 382 | 0 | 4956 | 0 | 958 | 543 |
N.S. |
1 | 1.20 | 1.39 | 1.49 | 0.00 | 19.36 | 0.00 | 3.74 | 2.12 |
time (sec) |
N/A | 0.512 | 1.627 | 3.113 | 0.000 | 0.366 | 0.000 | 0.338 | 9.860 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 212 | 112 | 118 | 150 | 94 | 0 | 138 | 75 |
N.S. |
1 | 1.16 | 0.61 | 0.64 | 0.82 | 0.51 | 0.00 | 0.75 | 0.41 |
time (sec) |
N/A | 0.431 | 0.233 | 3.687 | 0.306 | 0.275 | 0.000 | 0.295 | 9.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 188 | 101 | 109 | 141 | 91 | 0 | 129 | 66 |
N.S. |
1 | 1.11 | 0.59 | 0.64 | 0.83 | 0.54 | 0.00 | 0.76 | 0.39 |
time (sec) |
N/A | 0.388 | 0.165 | 2.539 | 0.274 | 0.350 | 0.000 | 0.292 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 168 | 196 | 100 | 109 | 141 | 83 | 0 | 129 | 66 |
N.S. |
1 | 1.17 | 0.60 | 0.65 | 0.84 | 0.49 | 0.00 | 0.77 | 0.39 |
time (sec) |
N/A | 0.393 | 0.148 | 2.566 | 0.277 | 0.388 | 0.000 | 0.289 | 9.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 174 | 78 | 99 | 132 | 109 | 0 | 120 | 57 |
N.S. |
1 | 1.11 | 0.50 | 0.63 | 0.84 | 0.69 | 0.00 | 0.76 | 0.36 |
time (sec) |
N/A | 0.356 | 0.140 | 2.954 | 0.276 | 0.453 | 0.000 | 0.288 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 184 | 76 | 99 | 132 | 109 | 0 | 120 | 57 |
N.S. |
1 | 1.17 | 0.48 | 0.63 | 0.84 | 0.69 | 0.00 | 0.76 | 0.36 |
time (sec) |
N/A | 0.363 | 0.138 | 2.694 | 0.272 | 0.390 | 0.000 | 0.284 | 0.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 190 | 103 | 109 | 141 | 143 | 0 | 129 | 66 |
N.S. |
1 | 1.06 | 0.57 | 0.61 | 0.78 | 0.79 | 0.00 | 0.72 | 0.37 |
time (sec) |
N/A | 0.372 | 0.192 | 2.592 | 0.270 | 0.555 | 0.000 | 0.287 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | C | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 200 | 104 | 109 | 141 | 168 | 0 | 129 | 66 |
N.S. |
1 | 1.11 | 0.58 | 0.61 | 0.78 | 0.93 | 0.00 | 0.72 | 0.37 |
time (sec) |
N/A | 0.384 | 0.187 | 2.547 | 0.315 | 0.281 | 0.000 | 0.283 | 0.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 233 | 155 | 555 | 0 | 199 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.68 | 2.44 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.467 | 10.265 | 2.862 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 180 | 185 | 110 | 490 | 0 | 121 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.61 | 2.72 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.397 | 10.087 | 2.735 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 91 | 364 | 0 | 82 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 2.66 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.333 | 10.044 | 2.416 | 0.000 | 0.078 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 91 | 319 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 2.33 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.335 | 10.044 | 2.362 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 192 | 99 | 547 | 0 | 250 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.54 | 2.97 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 10.054 | 2.366 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 254 | 99 | 613 | 0 | 452 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.43 | 2.65 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 10.054 | 2.810 | 0.000 | 0.232 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 279 | 249 | 110 | 703 | 0 | 166 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.39 | 2.52 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.594 | 10.126 | 3.111 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 203 | 91 | 492 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.39 | 2.08 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.490 | 10.035 | 2.706 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 190 | 91 | 325 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.40 | 1.42 | 0.00 | 0.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.470 | 10.036 | 2.335 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 283 | 256 | 91 | 874 | 0 | 224 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.32 | 3.09 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.542 | 10.045 | 2.497 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 286 | 161 | 642 | 0 | 292 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.59 | 2.34 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.525 | 10.269 | 3.773 | 0.000 | 0.128 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 227 | 238 | 117 | 555 | 0 | 186 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.52 | 2.44 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.434 | 10.065 | 2.474 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 182 | 190 | 99 | 486 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.54 | 2.67 | 0.00 | 0.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 10.047 | 2.538 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 185 | 99 | 573 | 0 | 173 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.57 | 3.29 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.373 | 10.043 | 3.919 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 185 | 107 | 533 | 0 | 194 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.61 | 3.06 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.378 | 10.060 | 4.239 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 240 | 107 | 611 | 0 | 374 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.48 | 2.76 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 10.057 | 4.692 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 302 | 107 | 677 | 0 | 620 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.40 | 2.53 | 0.00 | 2.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.561 | 5.271 | 4.917 | 0.000 | 0.213 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 326 | 302 | 117 | 938 | 0 | 246 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 0.36 | 2.88 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.630 | 10.107 | 3.000 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 256 | 99 | 700 | 0 | 149 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.35 | 2.49 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.559 | 10.048 | 3.328 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 271 | 249 | 99 | 504 | 0 | 150 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.37 | 1.86 | 0.00 | 0.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.546 | 10.045 | 3.389 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 238 | 99 | 893 | 0 | 182 | 0 | 0 | 0 |
N.S. |
1 | 0.87 | 0.36 | 3.27 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.534 | 10.047 | 3.097 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 304 | 107 | 1161 | 0 | 350 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.33 | 3.63 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.624 | 10.061 | 4.670 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 321 | 339 | 161 | 761 | 0 | 404 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.50 | 2.37 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.591 | 10.270 | 5.923 | 0.000 | 0.153 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 291 | 117 | 642 | 0 | 275 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.43 | 2.34 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 10.060 | 3.477 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 229 | 243 | 101 | 549 | 0 | 183 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.44 | 2.40 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.459 | 10.091 | 2.680 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 238 | 101 | 1000 | 0 | 259 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.46 | 4.57 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.439 | 10.051 | 4.327 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 233 | 109 | 646 | 0 | 299 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.52 | 3.06 | 0.00 | 1.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 10.060 | 8.214 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 211 | 233 | 109 | 606 | 0 | 298 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.52 | 2.87 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 10.058 | 5.230 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 288 | 109 | 684 | 0 | 521 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.42 | 2.65 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.508 | 5.258 | 6.946 | 0.000 | 0.209 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 305 | 350 | 109 | 750 | 0 | 810 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 0.36 | 2.46 | 0.00 | 2.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.633 | 5.170 | 6.341 | 0.000 | 0.353 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 373 | 355 | 117 | 1190 | 0 | 346 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.31 | 3.19 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.735 | 10.121 | 4.489 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 309 | 101 | 924 | 0 | 221 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.31 | 2.82 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.646 | 10.045 | 3.086 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 316 | 302 | 101 | 700 | 0 | 223 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.32 | 2.22 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.645 | 10.043 | 3.617 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 297 | 101 | 1295 | 0 | 274 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.33 | 4.18 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.630 | 10.051 | 6.430 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 310 | 286 | 109 | 1144 | 0 | 284 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.35 | 3.69 | 0.00 | 0.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.610 | 10.064 | 4.912 | 0.000 | 0.169 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 357 | 352 | 109 | 1234 | 0 | 496 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.31 | 3.46 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.710 | 10.068 | 5.693 | 0.000 | 0.179 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 174 | 180 | 166 | 488 | 0 | 131 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.95 | 2.80 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.392 | 10.132 | 2.977 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 111 | 362 | 0 | 80 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 2.74 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 10.085 | 3.001 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 89 | 189 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.95 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.289 | 10.050 | 2.626 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 91 | 362 | 0 | 151 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 2.51 | 0.00 | 1.05 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 10.043 | 3.087 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 188 | 206 | 99 | 556 | 0 | 306 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.53 | 2.96 | 0.00 | 1.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 10.053 | 4.696 | 0.000 | 0.167 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 244 | 167 | 703 | 0 | 166 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.61 | 2.58 | 0.00 | 0.61 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.557 | 10.147 | 3.425 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 196 | 111 | 496 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 0.85 | 0.48 | 2.15 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.477 | 10.095 | 3.397 | 0.000 | 0.252 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 155 | 91 | 186 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 0.79 | 0.47 | 0.95 | 0.00 | 0.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.416 | 10.043 | 2.425 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 208 | 89 | 336 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 0.88 | 0.38 | 1.42 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.480 | 10.041 | 3.168 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 270 | 91 | 874 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.32 | 3.05 | 0.00 | 0.93 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.578 | 10.049 | 4.316 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 76 | 118 | 0 | 31 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.49 | 0.00 | 0.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.033 | 2.430 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 63 | 102 | 0 | 11 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.24 | 2.00 | 0.00 | 0.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 10.028 | 2.449 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 65 | 142 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.80 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.016 | 2.726 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 104 | 76 | 127 | 0 | 39 | 0 | 0 | 0 |
N.S. |
1 | 0.81 | 0.59 | 0.99 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.315 | 10.029 | 2.392 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 78 | 65 | 105 | 0 | 14 | 0 | 0 | 0 |
N.S. |
1 | 0.76 | 0.63 | 1.02 | 0.00 | 0.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 10.024 | 2.448 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 106 | 63 | 116 | 0 | 47 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.49 | 0.91 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 10.026 | 2.696 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 205 | 217 | 172 | 569 | 0 | 262 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.84 | 2.78 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.440 | 10.141 | 5.909 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 169 | 122 | 366 | 0 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.75 | 2.26 | 0.00 | 1.06 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.381 | 10.091 | 5.944 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 88 | 194 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.55 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.329 | 10.048 | 2.432 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 100 | 206 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.50 | 0.00 | 0.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.348 | 10.057 | 4.646 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 200 | 98 | 365 | 0 | 330 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 0.53 | 1.98 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.431 | 10.046 | 4.389 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 233 | 122 | 498 | 0 | 199 | 0 | 0 | 0 |
N.S. |
1 | 0.90 | 0.47 | 1.93 | 0.00 | 0.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.546 | 10.110 | 4.911 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 181 | 88 | 323 | 0 | 123 | 0 | 0 | 0 |
N.S. |
1 | 0.83 | 0.40 | 1.47 | 0.00 | 0.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.475 | 10.057 | 2.908 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 231 | 205 | 98 | 332 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.42 | 1.44 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.479 | 10.042 | 2.431 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 274 | 264 | 96 | 339 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.35 | 1.24 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.579 | 10.043 | 4.380 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 326 | 98 | 876 | 0 | 517 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.30 | 2.70 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.652 | 10.050 | 4.689 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 258 | 252 | 1473 | 0 | 424 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.02 | 5.96 | 0.00 | 1.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.493 | 10.219 | 10.738 | 0.000 | 0.198 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 196 | 208 | 179 | 657 | 0 | 297 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.91 | 3.35 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 10.142 | 9.586 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 166 | 122 | 479 | 0 | 185 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.74 | 2.90 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.373 | 10.089 | 5.672 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 178 | 129 | 487 | 0 | 222 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.75 | 2.82 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 10.112 | 2.632 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 197 | 132 | 491 | 0 | 264 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.71 | 2.63 | 0.00 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.415 | 10.118 | 6.367 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 228 | 258 | 99 | 664 | 0 | 597 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 0.43 | 2.91 | 0.00 | 2.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.489 | 10.056 | 5.364 | 0.000 | 0.193 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 274 | 180 | 1328 | 0 | 362 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.60 | 4.44 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.598 | 10.151 | 10.272 | 0.000 | 0.151 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 222 | 122 | 859 | 0 | 230 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.47 | 3.33 | 0.00 | 0.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.514 | 10.088 | 5.024 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 264 | 244 | 116 | 871 | 0 | 283 | 0 | 0 | 0 |
N.S. |
1 | 0.92 | 0.44 | 3.30 | 0.00 | 1.07 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.550 | 10.079 | 4.632 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 278 | 263 | 99 | 866 | 0 | 300 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.36 | 3.12 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.573 | 10.044 | 2.342 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 324 | 97 | 877 | 0 | 514 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.30 | 2.70 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.652 | 10.048 | 5.397 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 182 | 125 | 285 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.74 | 1.68 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.393 | 10.091 | 2.933 | 0.000 | 0.134 | 0.000 | 0.000 | 0.000 |