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 | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 243 | 205 | 127 | 0 | 365 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 0.99 | 0.61 | 0.00 | 1.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.456 | 0.390 | 11.691 | 0.000 | 1.236 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 215 | 188 | 187 | 0 | 0 | 0 | 437 | 0 |
N.S. |
1 | 1.03 | 0.90 | 0.90 | 0.00 | 0.00 | 0.00 | 2.10 | 0.00 |
time (sec) |
N/A | 1.197 | 13.025 | 0.783 | 0.000 | 0.000 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 208 | 205 | 338 | 1580 | 30 | 0 | 27 | 221 | 30 |
N.S. |
1 | 0.99 | 1.62 | 7.60 | 0.14 | 0.00 | 0.13 | 1.06 | 0.14 |
time (sec) |
N/A | 0.919 | 0.317 | 0.236 | 0.242 | 0.000 | 0.876 | 0.349 | 6.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 209 | 0 | 187 | 910 | 0 | 313 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 4.35 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.256 | 5.486 | 0.000 | 5.299 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 0 | 167 | 138 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.407 | 0.792 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 0 | 276 | 201 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.32 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.073 | 1.378 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 209 | 1055 | 223 | 146 | 30 | 3186 | 24 | 174 | 30 |
N.S. |
1 | 5.05 | 1.07 | 0.70 | 0.14 | 15.24 | 0.11 | 0.83 | 0.14 |
time (sec) |
N/A | 3.015 | 0.494 | 0.489 | 0.212 | 0.489 | 1.607 | 1.572 | 6.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 209 | 1055 | 223 | 146 | 30 | 3186 | 24 | 174 | 30 |
N.S. |
1 | 5.05 | 1.07 | 0.70 | 0.14 | 15.24 | 0.11 | 0.83 | 0.14 |
time (sec) |
N/A | 2.586 | 0.001 | 0.000 | 0.227 | 0.459 | 1.611 | 1.565 | 0.002 |
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 | 209 | 154 | 209 | 207 | 0 | 382 | 0 | 0 | 0 |
N.S. |
1 | 0.74 | 1.00 | 0.99 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.562 | 0.390 | 1.771 | 0.000 | 18.429 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 0 | 184 | 259 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.88 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.065 | 1.379 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 209 | 367 | 217 | 109 | 24 | 5235 | 24 | 0 | 24 |
N.S. |
1 | 1.76 | 1.04 | 0.52 | 0.11 | 25.05 | 0.11 | 0.00 | 0.11 |
time (sec) |
N/A | 1.054 | 0.175 | 0.057 | 0.305 | 6.356 | 3.404 | 0.000 | 6.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 209 | 367 | 217 | 109 | 24 | 5235 | 24 | 0 | 24 |
N.S. |
1 | 1.76 | 1.04 | 0.52 | 0.11 | 25.05 | 0.11 | 0.00 | 0.11 |
time (sec) |
N/A | 1.030 | 0.001 | 0.000 | 0.292 | 6.164 | 3.354 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 210 | 0 | 198 | 2422 | 0 | 532 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.94 | 11.53 | 0.00 | 2.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.881 | 17.493 | 0.000 | 14.156 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 0 | 249 | 194 | 0 | 424 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.19 | 0.92 | 0.00 | 2.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.967 | 12.736 | 0.000 | 3.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 210 | 0 | 169 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.940 | 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 | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 97 | 78 | 88 | 0 | 357 | 0 | 0 | 0 |
N.S. |
1 | 0.46 | 0.37 | 0.42 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.277 | 0.444 | 0.000 | 0.364 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 0 | 186 | 2714 | 0 | 251 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 12.92 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.510 | 17.693 | 0.000 | 11.976 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | C | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 0 | 186 | 2714 | 0 | 251 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.89 | 12.92 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.001 | 16.522 | 0.000 | 11.924 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 210 | 3046 | 228 | 122 | 24 | 1493 | 27 | 24 | 24 |
N.S. |
1 | 14.50 | 1.09 | 0.58 | 0.11 | 7.11 | 0.13 | 0.11 | 0.11 |
time (sec) |
N/A | 5.327 | 0.289 | 83.205 | 0.295 | 0.304 | 0.580 | 0.643 | 6.724 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 210 | 611 | 201 | 157 | 46 | 16424 | 0 | 46 | 46 |
N.S. |
1 | 2.91 | 0.96 | 0.75 | 0.22 | 78.21 | 0.00 | 0.22 | 0.22 |
time (sec) |
N/A | 2.118 | 5.847 | 0.384 | 0.207 | 6.468 | 0.000 | 1.768 | 7.396 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | F(-1) | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 210 | 611 | 201 | 157 | 46 | 16424 | 0 | 46 | 46 |
N.S. |
1 | 2.91 | 0.96 | 0.75 | 0.22 | 78.21 | 0.00 | 0.22 | 0.22 |
time (sec) |
N/A | 1.678 | 0.002 | 0.143 | 0.210 | 6.910 | 0.000 | 1.752 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 892 | 251 | 176 | 24 | 621 | 26 | 1007 | 24 |
N.S. |
1 | 4.23 | 1.19 | 0.83 | 0.11 | 2.94 | 0.12 | 4.77 | 0.11 |
time (sec) |
N/A | 1.458 | 0.387 | 14.294 | 0.280 | 0.280 | 0.801 | 38.664 | 7.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 1944 | 231 | 160 | 27 | 1070 | 31 | 0 | 27 |
N.S. |
1 | 9.21 | 1.09 | 0.76 | 0.13 | 5.07 | 0.15 | 0.00 | 0.13 |
time (sec) |
N/A | 6.134 | 0.360 | 34.908 | 0.264 | 0.285 | 1.229 | 0.000 | 7.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | F(-2) | N/A |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 1944 | 231 | 160 | 27 | 1070 | 31 | 0 | 27 |
N.S. |
1 | 9.21 | 1.09 | 0.76 | 0.13 | 5.07 | 0.15 | 0.00 | 0.13 |
time (sec) |
N/A | 6.004 | 0.001 | 32.936 | 0.233 | 0.303 | 1.245 | 0.000 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 238 | 249 | 153 | 39 | 0 | 31 | 184 | 39 |
N.S. |
1 | 1.13 | 1.18 | 0.73 | 0.18 | 0.00 | 0.15 | 0.87 | 0.18 |
time (sec) |
N/A | 0.650 | 0.679 | 0.540 | 0.241 | 0.000 | 13.200 | 8.053 | 8.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | N/A | N/A | F(-1) | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 238 | 249 | 153 | 39 | 0 | 31 | 184 | 39 |
N.S. |
1 | 1.13 | 1.18 | 0.73 | 0.18 | 0.00 | 0.15 | 0.87 | 0.18 |
time (sec) |
N/A | 0.609 | 0.001 | 0.265 | 0.231 | 0.000 | 13.387 | 7.973 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 211 | 0 | 159 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.451 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 242 | 165 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.14 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 29.376 | 1.471 | 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 | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 160 | 195 | 205 | 480 | 190 | 151 | 0 | 0 |
N.S. |
1 | 0.75 | 0.92 | 0.97 | 2.26 | 0.90 | 0.71 | 0.00 | 0.00 |
time (sec) |
N/A | 0.280 | 0.982 | 0.580 | 0.298 | 0.295 | 8.943 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 240 | 147 | 34 | 3326 | 27 | 34 | 35 |
N.S. |
1 | 0.00 | 1.13 | 0.69 | 0.16 | 15.69 | 0.13 | 0.16 | 0.17 |
time (sec) |
N/A | 0.000 | 0.365 | 206.918 | 0.242 | 0.966 | 15.275 | 0.330 | 6.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 240 | 147 | 34 | 3326 | 27 | 34 | 35 |
N.S. |
1 | 0.00 | 1.13 | 0.69 | 0.16 | 15.69 | 0.13 | 0.16 | 0.17 |
time (sec) |
N/A | 0.000 | 0.001 | 184.560 | 0.249 | 0.986 | 15.325 | 0.309 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 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 | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 293 | 80 | 92 | 0 | 393 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 0.38 | 0.43 | 0.00 | 1.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.557 | 0.391 | 0.406 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 159 | 246 | 0 | 0 | 0 | 287 | 0 |
N.S. |
1 | 0.00 | 0.75 | 1.16 | 0.00 | 0.00 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.000 | 12.529 | 1.371 | 0.000 | 0.000 | 0.000 | 0.463 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | C | F(-1) | C | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 188 | 198 | 32 | 5974 | 0 | 2428 | 32 |
N.S. |
1 | 0.00 | 0.89 | 0.93 | 0.15 | 28.18 | 0.00 | 11.45 | 0.15 |
time (sec) |
N/A | 0.000 | 0.291 | 0.325 | 0.299 | 0.745 | 0.000 | 0.436 | 6.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 208 | 42 | 44 | 0 | 41 | 44 | 44 |
N.S. |
1 | 0.00 | 0.98 | 0.20 | 0.21 | 0.00 | 0.19 | 0.21 | 0.21 |
time (sec) |
N/A | 0.000 | 3.446 | 0.555 | 0.288 | 0.000 | 0.750 | 1.450 | 6.696 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 212 | 0 | 208 | 42 | 44 | 0 | 41 | 44 | 44 |
N.S. |
1 | 0.00 | 0.98 | 0.20 | 0.21 | 0.00 | 0.19 | 0.21 | 0.21 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.292 | 0.000 | 0.764 | 1.337 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 48 | 106 | 71 | 0 | 75 | 0 | 0 | 0 |
N.S. |
1 | 0.23 | 0.50 | 0.33 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.506 | 0.104 | 0.486 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 265 | 218 | 124 | 0 | 326 | 0 | 0 | 0 |
N.S. |
1 | 1.24 | 1.02 | 0.58 | 0.00 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.448 | 0.451 | 12.332 | 0.000 | 1.314 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 213 | 0 | 192 | 0 | 0 | 877 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.90 | 0.00 | 0.00 | 4.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.410 | 0.000 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | C | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 213 | 331 | 202 | 215 | 0 | 269 | 0 | 623 | 0 |
N.S. |
1 | 1.55 | 0.95 | 1.01 | 0.00 | 1.26 | 0.00 | 2.92 | 0.00 |
time (sec) |
N/A | 2.193 | 0.812 | 0.171 | 0.000 | 0.267 | 0.000 | 8.392 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 0 | 153 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.452 | 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 | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 991 | 281 | 189 | 22 | 614 | 26 | 986 | 25 |
N.S. |
1 | 4.63 | 1.31 | 0.88 | 0.10 | 2.87 | 0.12 | 4.61 | 0.12 |
time (sec) |
N/A | 1.497 | 0.279 | 28.865 | 0.304 | 0.297 | 0.860 | 41.103 | 6.986 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | N/A | N/A | C | N/A | C | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 991 | 281 | 189 | 22 | 614 | 26 | 986 | 25 |
N.S. |
1 | 4.63 | 1.31 | 0.88 | 0.10 | 2.87 | 0.12 | 4.61 | 0.12 |
time (sec) |
N/A | 1.313 | 0.021 | 6.767 | 0.323 | 0.346 | 0.890 | 41.256 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 214 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 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 | 214 | 157 | 209 | 222 | 0 | 361 | 0 | 0 | 0 |
N.S. |
1 | 0.73 | 0.98 | 1.04 | 0.00 | 1.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 0.426 | 2.064 | 0.000 | 15.802 | 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 | 214 | 185 | 209 | 222 | 0 | 360 | 0 | 0 | 0 |
N.S. |
1 | 0.86 | 0.98 | 1.04 | 0.00 | 1.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.528 | 0.413 | 2.377 | 0.000 | 14.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 0 | 172 | 189 | 0 | 194 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.88 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.597 | 0.479 | 0.000 | 79.836 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 466 | 309 | 248 | 0 | 206 | 0 | 195 | 0 |
N.S. |
1 | 2.17 | 1.44 | 1.15 | 0.00 | 0.96 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.533 | 0.564 | 0.377 | 0.000 | 0.277 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 467 | 314 | 249 | 0 | 206 | 0 | 195 | 0 |
N.S. |
1 | 2.17 | 1.46 | 1.16 | 0.00 | 0.96 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.506 | 0.535 | 0.255 | 0.000 | 0.261 | 0.000 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 0 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 11.575 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | C | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 624 | 240 | 154 | 37 | 541 | 29 | 37 | 38 |
N.S. |
1 | 2.90 | 1.12 | 0.72 | 0.17 | 2.52 | 0.13 | 0.17 | 0.18 |
time (sec) |
N/A | 2.264 | 0.487 | 0.412 | 0.219 | 0.313 | 4.250 | 0.758 | 8.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 0 | 76 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.35 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.485 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 933 | 211 | 116 | 39 | 0 | 34 | 39 | 39 |
N.S. |
1 | 4.34 | 0.98 | 0.54 | 0.18 | 0.00 | 0.16 | 0.18 | 0.18 |
time (sec) |
N/A | 3.453 | 0.644 | 0.417 | 0.224 | 0.000 | 96.929 | 0.373 | 8.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 933 | 211 | 116 | 39 | 0 | 34 | 39 | 39 |
N.S. |
1 | 4.34 | 0.98 | 0.54 | 0.18 | 0.00 | 0.16 | 0.18 | 0.18 |
time (sec) |
N/A | 3.431 | 0.003 | 0.001 | 0.227 | 0.000 | 91.358 | 0.363 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 215 | 217 | 215 | 0 | 0 | 673 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.00 | 0.00 | 0.00 | 3.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.553 | 0.538 | 0.000 | 0.000 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 0 | 176 | 177 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.82 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.544 | 0.275 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 0 | 173 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.118 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 0 | 175 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 5.414 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 0 | 175 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 217 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 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 | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 175 | 230 | 177 | 0 | 206 | 0 | 147 | 0 |
N.S. |
1 | 0.81 | 1.06 | 0.82 | 0.00 | 0.95 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.275 | 0.375 | 2.411 | 0.000 | 0.268 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 0 | 217 | 193 | 0 | 615 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.89 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.501 | 36.371 | 0.000 | 30.922 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 233 | 201 | 202 | 0 | 406 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.93 | 0.93 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.591 | 0.592 | 3.014 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 217 | 233 | 201 | 202 | 0 | 406 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 0.93 | 0.93 | 0.00 | 1.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.506 | 0.532 | 2.718 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 218 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 218 | 928 | 214 | 127 | 37 | 0 | 31 | 0 | 39 |
N.S. |
1 | 4.26 | 0.98 | 0.58 | 0.17 | 0.00 | 0.14 | 0.00 | 0.18 |
time (sec) |
N/A | 3.413 | 0.581 | 0.404 | 0.219 | 0.000 | 75.969 | 0.000 | 7.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | N/A | N/A | F(-1) | N/A | F(-2) | N/A |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 218 | 928 | 214 | 127 | 37 | 0 | 31 | 0 | 39 |
N.S. |
1 | 4.26 | 0.98 | 0.58 | 0.17 | 0.00 | 0.14 | 0.00 | 0.18 |
time (sec) |
N/A | 3.244 | 0.002 | 0.001 | 0.218 | 0.000 | 75.896 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 171 | 232 | 179 | 0 | 241 | 0 | 149 | 0 |
N.S. |
1 | 0.78 | 1.06 | 0.82 | 0.00 | 1.10 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.236 | 0.375 | 1.977 | 0.000 | 0.999 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 175 | 231 | 178 | 0 | 210 | 0 | 148 | 0 |
N.S. |
1 | 0.80 | 1.05 | 0.81 | 0.00 | 0.96 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.273 | 0.357 | 3.297 | 0.000 | 0.301 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 219 | 0 | 185 | 0 | 0 | 319 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.84 | 0.00 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.364 | 0.000 | 0.000 | 1.993 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | A | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 220 | 0 | 247 | 0 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.12 | 0.00 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 5.203 | 0.000 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 221 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 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 | C | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 153 | 229 | 256 | 0 | 843 | 0 | 338 | 0 |
N.S. |
1 | 0.69 | 1.04 | 1.16 | 0.00 | 3.81 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.405 | 6.073 | 1.288 | 0.000 | 0.280 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 221 | 0 | 213 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 4.042 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 529 | 209 | 191 | 0 | 367 | 0 | 0 | 0 |
N.S. |
1 | 2.39 | 0.95 | 0.86 | 0.00 | 1.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.226 | 0.490 | 5.691 | 0.000 | 2.033 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 122 | 160 | 116 | 0 | 220 | 0 | 0 | 0 |
N.S. |
1 | 0.55 | 0.72 | 0.52 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.167 | 1.710 | 0.000 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 222 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 189 | 0 | 0 | 1383 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.85 | 0.00 | 0.00 | 6.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.130 | 0.000 | 0.000 | 13.936 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 165 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.686 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 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 | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 223 | 382 | 330 | 1758 | 243 | 362 | 0 | 250 | 1310 |
N.S. |
1 | 1.71 | 1.48 | 7.88 | 1.09 | 1.62 | 0.00 | 1.12 | 5.87 |
time (sec) |
N/A | 1.381 | 0.679 | 3.067 | 0.271 | 0.286 | 0.000 | 0.380 | 7.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 223 | 0 | 44 | 0 | 63 | 44 | 44 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.20 | 0.00 | 0.28 | 0.20 | 0.20 |
time (sec) |
N/A | 0.000 | 2.004 | 180.000 | 0.238 | 0.000 | 3.132 | 0.378 | 6.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F(-1) | N/A | F(-1) | N/A | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 223 | 0 | 44 | 0 | 63 | 44 | 44 |
N.S. |
1 | 0.00 | 1.00 | 0.00 | 0.20 | 0.00 | 0.28 | 0.20 | 0.20 |
time (sec) |
N/A | 0.000 | 0.002 | 180.000 | 0.223 | 0.000 | 3.169 | 0.358 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 223 | 0 | 212 | 0 | 0 | 543 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 2.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.828 | 0.000 | 0.000 | 1.204 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 224 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 0 | 171 | 222 | 0 | 0 | 0 | 262 | 0 |
N.S. |
1 | 0.00 | 0.76 | 0.99 | 0.00 | 0.00 | 0.00 | 1.17 | 0.00 |
time (sec) |
N/A | 0.000 | 14.249 | 1.102 | 0.000 | 0.000 | 0.000 | 0.566 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 224 | 0 | 212 | 0 | 0 | 541 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.95 | 0.00 | 0.00 | 2.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.932 | 0.000 | 0.000 | 1.237 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | F | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 224 | 426 | 212 | 0 | 0 | 498 | 0 | 0 | 0 |
N.S. |
1 | 1.90 | 0.95 | 0.00 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.405 | 0.881 | 0.000 | 0.000 | 0.968 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 224 | 0 | 168 | 157 | 28 | 0 | 0 | 28 | 28 |
N.S. |
1 | 0.00 | 0.75 | 0.70 | 0.12 | 0.00 | 0.00 | 0.12 | 0.12 |
time (sec) |
N/A | 0.000 | 0.230 | 0.125 | 0.579 | 0.000 | 0.000 | 1.239 | 7.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | N/A | N/A | F(-1) | F(-1) | N/A | N/A |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 224 | 0 | 168 | 157 | 28 | 0 | 0 | 28 | 28 |
N.S. |
1 | 0.00 | 0.75 | 0.70 | 0.12 | 0.00 | 0.00 | 0.12 | 0.12 |
time (sec) |
N/A | 0.000 | 0.001 | 0.000 | 0.577 | 0.000 | 0.000 | 1.264 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 0 | 278 | 201 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.24 | 0.89 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.783 | 6.451 | 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 | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 194 | 260 | 248 | 0 | 204 | 0 | 154 | 0 |
N.S. |
1 | 0.86 | 1.16 | 1.10 | 0.00 | 0.91 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.746 | 0.433 | 3.601 | 0.000 | 0.272 | 0.000 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F(-1) | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 225 | 131 | 212 | 0 | 227 | 0 | 80 | 0 | 166 |
N.S. |
1 | 0.58 | 0.94 | 0.00 | 1.01 | 0.00 | 0.36 | 0.00 | 0.74 |
time (sec) |
N/A | 0.352 | 5.087 | 0.000 | 0.262 | 0.000 | 2.228 | 0.000 | 7.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-2) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 0 | 296 | 217 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.32 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 3.085 | 17.656 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 242 | 218 | 33 | 0 | 1123 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.97 | 0.15 | 0.00 | 4.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.407 | 0.609 | 2.927 | 0.000 | 5.587 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 384 | 219 | 33 | 0 | 1121 | 0 | 0 | 0 |
N.S. |
1 | 1.71 | 0.97 | 0.15 | 0.00 | 4.98 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.545 | 0.516 | 2.708 | 0.000 | 5.451 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 242 | 218 | 33 | 0 | 1113 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 0.97 | 0.15 | 0.00 | 4.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.384 | 0.573 | 3.024 | 0.000 | 5.508 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 225 | 384 | 217 | 33 | 0 | 1115 | 0 | 0 | 0 |
N.S. |
1 | 1.71 | 0.96 | 0.15 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.546 | 0.500 | 2.677 | 0.000 | 5.432 | 0.000 | 0.000 | 0.000 |