Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 263 | 995 | 0 | 514 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 3.23 | 0.00 | 1.67 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.344 | 1.442 | 0.235 | 0.000 | 0.198 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 214 | 827 | 0 | 474 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 3.32 | 0.00 | 1.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.239 | 0.921 | 0.218 | 0.000 | 0.179 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 177 | 662 | 0 | 437 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 3.36 | 0.00 | 2.22 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.178 | 0.805 | 0.000 | 0.000 | 0.155 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 379 | 528 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.71 | 2.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.376 | 11.807 | 0.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 390 | 960 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.76 | 4.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.392 | 12.233 | 0.255 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 395 | 1134 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.46 | 4.20 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.577 | 12.680 | 0.289 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 434 | 1742 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.34 | 5.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.762 | 14.197 | 0.360 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 246 | 211 | 824 | 0 | 474 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 3.35 | 0.00 | 1.93 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.254 | 1.144 | 0.207 | 0.000 | 0.153 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 92 | 275 | 0 | 148 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.99 | 0.00 | 1.07 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.123 | 0.264 | 0.212 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 81 | 253 | 0 | 138 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.77 | 2.41 | 0.00 | 1.31 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.094 | 0.152 | 0.160 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 69 | 231 | 0 | 128 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 2.96 | 0.00 | 1.64 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.056 | 0.067 | 0.153 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 137 | 0 | 108 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 5.96 | 0.00 | 4.70 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.008 | 0.030 | 0.298 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 41 | 158 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 3.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.057 | 0.059 | 0.159 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 157 | 350 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.65 | 3.68 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.165 | 11.194 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 194 | 408 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.44 | 3.02 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.239 | 11.368 | 0.242 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 114 | 276 | 0 | 148 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 1.97 | 0.00 | 1.06 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.127 | 0.225 | 0.223 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 104 | 253 | 0 | 138 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.97 | 2.36 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.095 | 0.225 | 0.163 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 94 | 231 | 0 | 128 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.18 | 2.89 | 0.00 | 1.60 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.107 | 0.158 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 44 | 138 | 0 | 106 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.83 | 5.75 | 0.00 | 4.42 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.009 | 0.040 | 0.277 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 61 | 159 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.22 | 3.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.060 | 0.073 | 0.187 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 178 | 351 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.82 | 3.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.172 | 11.561 | 0.226 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 237 | 408 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.72 | 2.96 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.244 | 12.016 | 0.269 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 182 | 665 | 0 | 439 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.85 | 3.09 | 0.00 | 2.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.196 | 1.013 | 0.219 | 0.000 | 0.154 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 137 | 453 | 0 | 398 | 0 | 0 | 116 |
N.S. | 1 | 1.00 | 0.83 | 2.75 | 0.00 | 2.41 | 0.00 | 0.00 | 0.70 |
time (sec) |
N/A | 0.136 | 0.657 | 0.209 | 0.000 | 0.129 | 0.000 | 0.000 | 0.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 86 | 220 | 0 | 355 | 0 | 0 | 80 |
N.S. | 1 | 1.00 | 0.70 | 1.80 | 0.00 | 2.91 | 0.00 | 0.00 | 0.66 |
time (sec) |
N/A | 0.088 | 2.545 | 0.221 | 0.000 | 0.118 | 0.000 | 0.000 | 0.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 75 | 0 | 146 | 0 | 0 | 52 |
N.S. | 1 | 1.00 | 1.00 | 1.32 | 0.00 | 2.56 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.028 | 0.054 | 0.115 | 0.000 | 0.112 | 0.000 | 0.000 | 0.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 58 | 166 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 2.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.090 | 0.102 | 0.153 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 310 | 532 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.50 | 2.58 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.339 | 17.498 | 0.231 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 518 | 710 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.93 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.506 | 16.526 | 0.291 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 326 | 326 | 242 | 1285 | 0 | 687 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 3.94 | 0.00 | 2.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.350 | 1.377 | 0.298 | 0.000 | 0.221 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 197 | 743 | 0 | 630 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.89 | 0.00 | 2.45 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.234 | 0.989 | 0.277 | 0.000 | 0.188 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 159 | 530 | 0 | 567 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.85 | 2.85 | 0.00 | 3.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 0.725 | 0.240 | 0.000 | 0.162 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 137 | 373 | 0 | 527 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.81 | 2.19 | 0.00 | 3.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.122 | 0.550 | 0.224 | 0.000 | 0.125 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 83 | 217 | 0 | 482 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.78 | 2.05 | 0.00 | 4.55 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.046 | 0.222 | 0.182 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 402 | 376 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.28 | 2.14 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.265 | 15.459 | 0.230 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 441 | 898 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.59 | 3.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.530 | 14.217 | 0.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 597 | 1546 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.73 | 4.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.716 | 16.583 | 0.538 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 436 | 436 | 272 | 1688 | 0 | 1040 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 3.87 | 0.00 | 2.39 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.575 | 2.008 | 0.889 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 345 | 345 | 237 | 1295 | 0 | 954 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 3.75 | 0.00 | 2.77 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.373 | 1.680 | 0.721 | 0.000 | 0.198 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 188 | 911 | 0 | 867 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 3.24 | 0.00 | 3.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.249 | 1.310 | 0.644 | 0.000 | 0.211 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 175 | 850 | 0 | 814 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 3.23 | 0.00 | 3.10 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.224 | 1.187 | 0.598 | 0.000 | 0.163 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 154 | 746 | 0 | 765 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.63 | 3.07 | 0.00 | 3.15 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.188 | 1.034 | 0.573 | 0.000 | 0.153 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 158 | 489 | 0 | 692 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.71 | 2.21 | 0.00 | 3.13 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.159 | 0.955 | 0.412 | 0.000 | 0.150 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 464 | 849 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.45 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.576 | 14.861 | 0.617 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F(-1) | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 380 | 380 | 638 | 1324 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.68 | 3.48 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.736 | 16.606 | 0.912 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 189 | 616 | 0 | 985 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 2.18 | 0.00 | 3.49 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.242 | 1.568 | 0.618 | 0.000 | 0.191 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 81 | 231 | 0 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.73 | 2.08 | 0.00 | 1.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.099 | 0.193 | 0.164 | 0.000 | 0.127 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 70 | 231 | 0 | 128 | 0 | 0 | 78 |
N.S. | 1 | 1.00 | 0.90 | 2.96 | 0.00 | 1.64 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.068 | 0.093 | 0.213 | 0.000 | 0.106 | 0.000 | 0.000 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 43 | 155 | 0 | 108 | 0 | 0 | 54 |
N.S. | 1 | 1.00 | 0.84 | 3.04 | 0.00 | 2.12 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.035 | 0.064 | 0.182 | 0.000 | 0.103 | 0.000 | 0.000 | 0.628 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 23 | 0 | 54 | 0 | 0 | 39 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.00 | 2.35 | 0.00 | 0.00 | 1.70 |
time (sec) |
N/A | 0.009 | 0.036 | 0.053 | 0.000 | 0.097 | 0.000 | 0.000 | 0.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 138 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 5.75 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.025 | 0.061 | 0.127 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 158 | 350 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.56 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.164 | 11.251 | 0.210 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 195 | 408 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.42 | 2.98 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.239 | 11.344 | 0.232 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 102 | 254 | 0 | 136 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 2.25 | 0.00 | 1.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.186 | 0.195 | 0.000 | 0.122 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 94 | 232 | 0 | 128 | 0 | 0 | 78 |
N.S. | 1 | 1.00 | 1.18 | 2.90 | 0.00 | 1.60 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.070 | 0.134 | 0.181 | 0.000 | 0.105 | 0.000 | 0.000 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 60 | 158 | 0 | 106 | 0 | 0 | 52 |
N.S. | 1 | 1.00 | 1.13 | 2.98 | 0.00 | 2.00 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.033 | 0.081 | 0.184 | 0.000 | 0.106 | 0.000 | 0.000 | 0.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 44 | 54 | 0 | 52 | 0 | 0 | 39 |
N.S. | 1 | 1.00 | 1.83 | 2.25 | 0.00 | 2.17 | 0.00 | 0.00 | 1.62 |
time (sec) |
N/A | 0.012 | 0.046 | 0.098 | 0.000 | 0.090 | 0.000 | 0.000 | 0.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 45 | 139 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.80 | 5.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.025 | 0.072 | 0.139 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 179 | 351 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.72 | 3.38 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 11.544 | 0.218 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 236 | 408 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.69 | 2.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.245 | 11.936 | 0.242 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 77 | 290 | 0 | 148 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 0.69 | 2.61 | 0.00 | 1.33 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.055 | 0.544 | 0.202 | 0.000 | 0.125 | 0.000 | 0.000 | 0.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 66 | 262 | 0 | 137 | 0 | 0 | 80 |
N.S. |
1 | 1.00 | 0.76 | 3.01 | 0.00 | 1.57 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.048 | 0.256 | 0.180 | 0.000 | 0.107 | 0.000 | 0.000 | 0.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 53 | 229 | 0 | 125 | 0 | 0 | 53 |
N.S. | 1 | 1.00 | 0.87 | 3.75 | 0.00 | 2.05 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.039 | 0.122 | 0.178 | 0.000 | 0.108 | 0.000 | 0.000 | 0.653 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 152 | 0 | 107 | 0 | 0 | 33 |
N.S. | 1 | 1.00 | 1.00 | 4.34 | 0.00 | 3.06 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.028 | 0.074 | 0.218 | 0.000 | 0.107 | 0.000 | 0.000 | 0.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 51 | 150 | 0 | 156 | 0 | 0 | 60 |
N.S. | 1 | 1.00 | 0.89 | 2.63 | 0.00 | 2.74 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.035 | 0.157 | 0.185 | 0.000 | 0.107 | 0.000 | 0.000 | 0.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 65 | 397 | 0 | 175 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 0.78 | 4.78 | 0.00 | 2.11 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.043 | 0.445 | 0.309 | 0.000 | 0.111 | 0.000 | 0.000 | 1.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 95 | 502 | 0 | 188 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 0.86 | 4.52 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.053 | 0.330 | 0.424 | 0.000 | 0.119 | 0.000 | 0.000 | 1.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 113 | 398 | 0 | 195 | 0 | 0 | 135 |
N.S. |
1 | 1.00 | 0.71 | 2.49 | 0.00 | 1.22 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.086 | 0.818 | 0.227 | 0.000 | 0.124 | 0.000 | 0.000 | 1.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 98 | 362 | 0 | 180 | 0 | 0 | 128 |
N.S. |
1 | 1.00 | 0.73 | 2.68 | 0.00 | 1.33 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.077 | 0.650 | 0.201 | 0.000 | 0.125 | 0.000 | 0.000 | 0.890 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 79 | 357 | 0 | 162 | 0 | 0 | 102 |
N.S. |
1 | 1.00 | 0.78 | 3.53 | 0.00 | 1.60 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.067 | 0.333 | 0.210 | 0.000 | 0.110 | 0.000 | 0.000 | 1.006 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 64 | 283 | 0 | 147 | 0 | 0 | 76 |
N.S. | 1 | 1.00 | 0.89 | 3.93 | 0.00 | 2.04 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.060 | 0.179 | 0.198 | 0.000 | 0.112 | 0.000 | 0.000 | 0.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 62 | 202 | 0 | 178 | 0 | 0 | 81 |
N.S. |
1 | 1.00 | 0.91 | 2.97 | 0.00 | 2.62 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.060 | 0.313 | 0.234 | 0.000 | 0.117 | 0.000 | 0.000 | 1.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 73 | 513 | 0 | 198 | 0 | 0 | 108 |
N.S. |
1 | 1.00 | 0.77 | 5.40 | 0.00 | 2.08 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.069 | 0.629 | 0.342 | 0.000 | 0.101 | 0.000 | 0.000 | 1.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 124 | 633 | 0 | 223 | 0 | 0 | 113 |
N.S. |
1 | 1.00 | 0.92 | 4.69 | 0.00 | 1.65 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.082 | 0.404 | 0.451 | 0.000 | 0.113 | 0.000 | 0.000 | 1.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 137 | 470 | 0 | 227 | 0 | 0 | 178 |
N.S. |
1 | 1.00 | 0.71 | 2.42 | 0.00 | 1.17 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.157 | 1.006 | 0.228 | 0.000 | 0.162 | 0.000 | 0.000 | 1.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 110 | 421 | 0 | 205 | 0 | 0 | 146 |
N.S. |
1 | 1.00 | 0.69 | 2.65 | 0.00 | 1.29 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 0.142 | 0.795 | 0.226 | 0.000 | 0.148 | 0.000 | 0.000 | 0.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 84 | 412 | 0 | 185 | 0 | 0 | 125 |
N.S. |
1 | 1.00 | 0.72 | 3.55 | 0.00 | 1.59 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.127 | 0.396 | 0.201 | 0.000 | 0.138 | 0.000 | 0.000 | 0.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 86 | 303 | 0 | 214 | 0 | 0 | 124 |
N.S. |
1 | 1.00 | 0.69 | 2.44 | 0.00 | 1.73 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.133 | 0.569 | 0.240 | 0.000 | 0.135 | 0.000 | 0.000 | 0.930 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 85 | 630 | 0 | 222 | 0 | 0 | 128 |
N.S. |
1 | 1.00 | 0.71 | 5.25 | 0.00 | 1.85 | 0.00 | 0.00 | 1.07 |
time (sec) |
N/A | 0.136 | 1.336 | 0.345 | 0.000 | 0.136 | 0.000 | 0.000 | 1.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 125 | 711 | 0 | 244 | 0 | 0 | 156 |
N.S. |
1 | 1.00 | 0.84 | 4.77 | 0.00 | 1.64 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 0.142 | 0.965 | 0.469 | 0.000 | 0.125 | 0.000 | 0.000 | 1.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 177 | 820 | 0 | 270 | 0 | 0 | 147 |
N.S. |
1 | 1.00 | 0.91 | 4.23 | 0.00 | 1.39 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.165 | 0.810 | 0.579 | 0.000 | 0.140 | 0.000 | 0.000 | 2.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 158 | 552 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.41 | 4.93 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.257 | 12.005 | 0.227 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 81 | 227 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 3.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.106 | 10.327 | 0.165 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 48 | 188 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 3.55 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.069 | 0.081 | 0.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 150 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 5.17 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.031 | 0.092 | 0.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 195 | 354 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 2.53 | 4.60 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.159 | 13.062 | 0.199 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 210 | 425 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.64 | 3.32 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.354 | 14.525 | 0.384 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 266 | 1070 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 4.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.461 | 11.925 | 0.451 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 251 | 815 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.36 | 4.41 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.298 | 11.829 | 0.378 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 194 | 794 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.19 | 4.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.251 | 13.588 | 0.343 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 229 | 713 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.55 | 4.82 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.251 | 13.863 | 0.333 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 238 | 612 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.52 | 3.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.272 | 13.289 | 0.283 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 217 | 217 | 278 | 847 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.28 | 3.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.436 | 13.016 | 0.421 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 294 | 981 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.05 | 3.49 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.642 | 13.495 | 0.721 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 354 | 2194 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.02 | 6.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.671 | 13.135 | 0.823 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 309 | 1935 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.10 | 6.86 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.486 | 12.924 | 0.737 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 264 | 264 | 284 | 1914 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.08 | 7.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.502 | 12.128 | 0.686 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 272 | 1836 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.11 | 7.52 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.420 | 11.990 | 0.671 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 291 | 1736 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.16 | 6.94 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.446 | 12.920 | 0.684 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-1) | F(-1) | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 301 | 1176 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.15 | 4.51 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.504 | 12.859 | 0.440 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |