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 | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 170 | 55 | 134 | 0 | 55 | 46 | 0 | 0 |
N.S. |
1 | 1.12 | 0.36 | 0.88 | 0.00 | 0.36 | 0.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.226 | 9.148 | 1.979 | 0.000 | 0.079 | 1.059 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 296 | 337 | 55 | 208 | 0 | 60 | 49 | 0 | 0 |
N.S. |
1 | 1.14 | 0.19 | 0.70 | 0.00 | 0.20 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.380 | 10.011 | 2.025 | 0.000 | 0.083 | 1.106 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 171 | 57 | 125 | 0 | 53 | 49 | 0 | 0 |
N.S. |
1 | 1.12 | 0.38 | 0.82 | 0.00 | 0.35 | 0.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 10.013 | 1.987 | 0.000 | 0.086 | 1.935 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 337 | 57 | 216 | 0 | 60 | 53 | 0 | 0 |
N.S. |
1 | 1.13 | 0.19 | 0.73 | 0.00 | 0.20 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 10.020 | 2.043 | 0.000 | 0.091 | 4.723 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 173 | 57 | 135 | 0 | 53 | 53 | 0 | 0 |
N.S. |
1 | 1.14 | 0.38 | 0.89 | 0.00 | 0.35 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.230 | 10.014 | 1.978 | 0.000 | 0.076 | 15.886 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 377 | 57 | 234 | 0 | 78 | 53 | 0 | 0 |
N.S. |
1 | 1.14 | 0.17 | 0.71 | 0.00 | 0.24 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.427 | 10.012 | 2.055 | 0.000 | 0.088 | 47.546 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 141 | 74 | 194 | 0 | 56 | 53 | 0 | 0 |
N.S. |
1 | 1.10 | 0.58 | 1.52 | 0.00 | 0.44 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 9.288 | 2.155 | 0.000 | 0.091 | 4.716 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 123 | 74 | 133 | 0 | 45 | 53 | 0 | 0 |
N.S. |
1 | 1.05 | 0.63 | 1.14 | 0.00 | 0.38 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.253 | 7.743 | 2.002 | 0.000 | 0.076 | 1.436 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 51 | 183 | 0 | 39 | 53 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.85 | 0.00 | 0.39 | 0.54 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 6.754 | 1.988 | 0.000 | 0.081 | 0.600 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 95 | 51 | 124 | 0 | 40 | 53 | 0 | 0 |
N.S. |
1 | 1.01 | 0.54 | 1.32 | 0.00 | 0.43 | 0.56 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 6.219 | 1.992 | 0.000 | 0.078 | 0.563 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 51 | 184 | 0 | 46 | 56 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.88 | 0.00 | 0.47 | 0.57 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 10.011 | 2.006 | 0.000 | 0.081 | 0.779 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 97 | 51 | 129 | 0 | 46 | 49 | 0 | 0 |
N.S. |
1 | 1.01 | 0.53 | 1.34 | 0.00 | 0.48 | 0.51 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 10.014 | 1.998 | 0.000 | 0.078 | 1.492 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 178 | 87 | 141 | 0 | 62 | 44 | 0 | 0 |
N.S. |
1 | 1.14 | 0.56 | 0.90 | 0.00 | 0.40 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.252 | 10.024 | 1.986 | 0.000 | 0.097 | 11.046 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 309 | 69 | 210 | 0 | 54 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.25 | 0.77 | 0.00 | 0.20 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 10.024 | 2.021 | 0.000 | 0.087 | 3.359 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 140 | 69 | 125 | 0 | 41 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.54 | 0.98 | 0.00 | 0.32 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 10.027 | 2.027 | 0.000 | 0.085 | 1.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 278 | 56 | 132 | 0 | 27 | 44 | 0 | 0 |
N.S. |
1 | 1.18 | 0.24 | 0.56 | 0.00 | 0.11 | 0.19 | 0.00 | 0.00 |
time (sec) |
N/A | 0.340 | 10.010 | 1.942 | 0.000 | 0.077 | 0.533 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 110 | 54 | 104 | 0 | 22 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.56 | 1.07 | 0.00 | 0.23 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 10.021 | 1.948 | 0.000 | 0.074 | 0.601 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 268 | 309 | 54 | 196 | 0 | 51 | 48 | 0 | 0 |
N.S. |
1 | 1.15 | 0.20 | 0.73 | 0.00 | 0.19 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.376 | 10.014 | 2.048 | 0.000 | 0.070 | 0.842 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 142 | 56 | 123 | 0 | 45 | 48 | 0 | 0 |
N.S. |
1 | 1.10 | 0.43 | 0.95 | 0.00 | 0.35 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 10.026 | 2.021 | 0.000 | 0.074 | 1.949 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 306 | 349 | 56 | 219 | 0 | 65 | 51 | 0 | 0 |
N.S. |
1 | 1.14 | 0.18 | 0.72 | 0.00 | 0.21 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.410 | 10.014 | 2.035 | 0.000 | 0.079 | 6.694 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 175 | 74 | 128 | 0 | 86 | 44 | 0 | 0 |
N.S. |
1 | 1.14 | 0.48 | 0.84 | 0.00 | 0.56 | 0.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.025 | 2.347 | 0.000 | 0.083 | 12.613 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 304 | 60 | 197 | 0 | 76 | 44 | 0 | 0 |
N.S. |
1 | 1.14 | 0.23 | 0.74 | 0.00 | 0.29 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.362 | 10.030 | 1.937 | 0.000 | 0.087 | 3.825 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 138 | 59 | 115 | 0 | 61 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.47 | 0.92 | 0.00 | 0.49 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 10.021 | 1.961 | 0.000 | 0.076 | 1.061 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 307 | 59 | 197 | 0 | 65 | 44 | 0 | 0 |
N.S. |
1 | 1.15 | 0.22 | 0.74 | 0.00 | 0.24 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.360 | 10.015 | 1.941 | 0.000 | 0.081 | 0.686 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 139 | 59 | 114 | 0 | 58 | 44 | 0 | 0 |
N.S. |
1 | 1.10 | 0.47 | 0.90 | 0.00 | 0.46 | 0.35 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 9.579 | 1.938 | 0.000 | 0.078 | 0.957 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 296 | 342 | 57 | 197 | 0 | 83 | 48 | 0 | 0 |
N.S. |
1 | 1.16 | 0.19 | 0.67 | 0.00 | 0.28 | 0.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.395 | 10.015 | 2.402 | 0.000 | 0.089 | 1.649 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 175 | 59 | 124 | 0 | 79 | 48 | 0 | 0 |
N.S. |
1 | 1.14 | 0.38 | 0.81 | 0.00 | 0.51 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 10.017 | 2.375 | 0.000 | 0.081 | 4.152 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 382 | 59 | 219 | 0 | 101 | 51 | 0 | 0 |
N.S. |
1 | 1.15 | 0.18 | 0.66 | 0.00 | 0.31 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.423 | 10.016 | 2.477 | 0.000 | 0.079 | 14.017 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 175 | 80 | 205 | 0 | 108 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.52 | 1.32 | 0.00 | 0.70 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 10.059 | 1.939 | 0.000 | 0.078 | 12.496 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 304 | 344 | 74 | 263 | 0 | 118 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.24 | 0.87 | 0.00 | 0.39 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 10.048 | 1.958 | 0.000 | 0.083 | 3.726 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 176 | 79 | 208 | 0 | 98 | 44 | 0 | 0 |
N.S. |
1 | 1.13 | 0.51 | 1.33 | 0.00 | 0.63 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 10.032 | 1.950 | 0.000 | 0.088 | 2.014 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 302 | 343 | 59 | 256 | 0 | 103 | 44 | 0 | 0 |
N.S. |
1 | 1.14 | 0.20 | 0.85 | 0.00 | 0.34 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.398 | 10.021 | 1.980 | 0.000 | 0.075 | 1.536 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 175 | 79 | 198 | 0 | 97 | 44 | 0 | 0 |
N.S. |
1 | 1.11 | 0.50 | 1.26 | 0.00 | 0.62 | 0.28 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 10.029 | 1.973 | 0.000 | 0.082 | 2.180 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 333 | 378 | 57 | 287 | 0 | 119 | 48 | 0 | 0 |
N.S. |
1 | 1.14 | 0.17 | 0.86 | 0.00 | 0.36 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.415 | 10.012 | 2.933 | 0.000 | 0.092 | 4.009 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 185 | 211 | 59 | 226 | 0 | 115 | 48 | 0 | 0 |
N.S. |
1 | 1.14 | 0.32 | 1.22 | 0.00 | 0.62 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 10.014 | 2.852 | 0.000 | 0.088 | 8.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 362 | 418 | 59 | 312 | 0 | 137 | 51 | 0 | 0 |
N.S. |
1 | 1.15 | 0.16 | 0.86 | 0.00 | 0.38 | 0.14 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 10.022 | 3.018 | 0.000 | 0.078 | 24.662 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 61 | 184 | 0 | 50 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 1.72 | 0.00 | 0.47 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 10.035 | 2.018 | 0.000 | 0.083 | 3.256 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 89 | 61 | 131 | 0 | 42 | 51 | 0 | 0 |
N.S. |
1 | 1.01 | 0.69 | 1.49 | 0.00 | 0.48 | 0.58 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 10.027 | 1.978 | 0.000 | 0.089 | 0.925 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 53 | 152 | 0 | 20 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 2.27 | 0.00 | 0.30 | 0.76 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 10.022 | 1.976 | 0.000 | 0.078 | 0.499 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 64 | 56 | 114 | 0 | 21 | 51 | 0 | 0 |
N.S. |
1 | 1.02 | 0.89 | 1.81 | 0.00 | 0.33 | 0.81 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 10.032 | 1.982 | 0.000 | 0.075 | 0.556 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 51 | 182 | 0 | 48 | 54 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 1.70 | 0.00 | 0.45 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 10.024 | 2.012 | 0.000 | 0.069 | 0.821 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 99 | 53 | 132 | 0 | 47 | 54 | 0 | 0 |
N.S. |
1 | 1.01 | 0.54 | 1.35 | 0.00 | 0.48 | 0.55 | 0.00 | 0.00 |
time (sec) |
N/A | 0.209 | 10.019 | 2.013 | 0.000 | 0.071 | 1.822 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 59 | 186 | 0 | 74 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 1.69 | 0.00 | 0.67 | 0.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 10.023 | 1.964 | 0.000 | 0.078 | 3.745 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 95 | 59 | 126 | 0 | 63 | 51 | 0 | 0 |
N.S. |
1 | 1.01 | 0.63 | 1.34 | 0.00 | 0.67 | 0.54 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 10.019 | 1.976 | 0.000 | 0.076 | 1.052 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 58 | 182 | 0 | 63 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.57 | 1.80 | 0.00 | 0.62 | 0.50 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 8.066 | 1.971 | 0.000 | 0.082 | 0.691 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 97 | 59 | 122 | 0 | 61 | 51 | 0 | 0 |
N.S. |
1 | 1.01 | 0.61 | 1.27 | 0.00 | 0.64 | 0.53 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 8.870 | 1.972 | 0.000 | 0.073 | 0.912 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 146 | 58 | 216 | 0 | 76 | 54 | 0 | 0 |
N.S. |
1 | 1.04 | 0.41 | 1.54 | 0.00 | 0.54 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 10.020 | 1.989 | 0.000 | 0.081 | 1.552 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 138 | 58 | 133 | 0 | 80 | 54 | 0 | 0 |
N.S. |
1 | 1.05 | 0.44 | 1.01 | 0.00 | 0.61 | 0.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.235 | 10.018 | 1.987 | 0.000 | 0.073 | 4.089 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 19 | 0 | 0 | 36 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.90 | 0.00 | 0.00 | 1.71 | 0.00 | 0.00 |
time (sec) |
N/A | 0.146 | 10.020 | 1.989 | 0.000 | 0.000 | 0.636 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 23 | 18 | 0 | 13 | 32 | 0 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.27 | 0.00 | 0.19 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 10.019 | 1.965 | 0.000 | 0.070 | 0.549 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 64 | 66 | 0 | 0 | 0 | 54 | 0 | 0 |
N.S. |
1 | 1.28 | 1.32 | 0.00 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.177 | 0.211 | 0.000 | 0.000 | 0.000 | 1.499 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 63 | 65 | 0 | 0 | 0 | 54 | 0 | 0 |
N.S. |
1 | 1.26 | 1.30 | 0.00 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.127 | 0.000 | 0.000 | 0.000 | 0.747 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 63 | 65 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.26 | 1.30 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.152 | 0.000 | 0.000 | 0.000 | 0.621 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 48 | 66 | 68 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.38 | 1.42 | 0.00 | 0.00 | 0.00 | 1.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.210 | 0.000 | 0.000 | 0.000 | 0.796 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 66 | 68 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.32 | 1.36 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.255 | 0.000 | 0.000 | 0.000 | 1.583 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 63 | 65 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.26 | 1.30 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.157 | 0.000 | 0.000 | 0.000 | 0.638 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 63 | 65 | 0 | 0 | 0 | 46 | 0 | 0 |
N.S. |
1 | 1.26 | 1.30 | 0.00 | 0.00 | 0.00 | 0.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.152 | 0.000 | 0.000 | 0.000 | 0.617 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 63 | 65 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.26 | 1.30 | 0.00 | 0.00 | 0.00 | 1.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.005 | 0.000 | 0.000 | 0.000 | 0.624 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 46 | 57 | 57 | 0 | 0 | 0 | 51 | 0 | 0 |
N.S. |
1 | 1.24 | 1.24 | 0.00 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 0.159 | 0.000 | 0.000 | 0.000 | 0.614 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 66 | 65 | 0 | 0 | 0 | 53 | 0 | 0 |
N.S. |
1 | 1.29 | 1.27 | 0.00 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 0.159 | 0.000 | 0.000 | 0.000 | 0.634 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 104 | 16 | 16 | 16 | 196 | 0 | 24 |
N.S. |
1 | 1.00 | 6.12 | 0.94 | 0.94 | 0.94 | 11.53 | 0.00 | 1.41 |
time (sec) |
N/A | 0.146 | 0.386 | 1.947 | 0.227 | 0.255 | 2.710 | 0.000 | 5.190 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 17 | 127 | 104 | 0 | 16 | 18 | 102 | 0 | 0 |
N.S. |
1 | 7.47 | 6.12 | 0.00 | 0.94 | 1.06 | 6.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.242 | 0.005 | 0.000 | 0.264 | 0.258 | 0.954 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 103 | 14 | 13 | 16 | 107 | 0 | 13 |
N.S. |
1 | 1.00 | 6.87 | 0.93 | 0.87 | 1.07 | 7.13 | 0.00 | 0.87 |
time (sec) |
N/A | 0.142 | 0.375 | 1.956 | 0.228 | 0.283 | 6.912 | 0.000 | 5.230 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 123 | 103 | 0 | 13 | 26 | 102 | 0 | 0 |
N.S. |
1 | 8.20 | 6.87 | 0.00 | 0.87 | 1.73 | 6.80 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 0.004 | 0.000 | 0.222 | 0.268 | 1.145 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 84 | 50 | 47 | 64 | 57 | 1795 | 57 | 55 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.71 | 22.44 | 0.71 | 0.69 |
time (sec) |
N/A | 0.198 | 0.043 | 1.973 | 0.193 | 0.252 | 1.679 | 0.270 | 5.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 63 | 39 | 36 | 47 | 46 | 700 | 43 | 44 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.78 | 11.86 | 0.73 | 0.75 |
time (sec) |
N/A | 0.180 | 0.029 | 2.016 | 0.180 | 0.252 | 1.161 | 0.265 | 5.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 42 | 38 | 25 | 30 | 34 | 223 | 29 | 33 |
N.S. |
1 | 1.11 | 1.00 | 0.66 | 0.79 | 0.89 | 5.87 | 0.76 | 0.87 |
time (sec) |
N/A | 0.165 | 0.031 | 1.984 | 0.188 | 0.258 | 0.755 | 0.283 | 4.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 42 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.134 | 0.003 | 1.970 | 0.188 | 0.242 | 0.091 | 0.268 | 4.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 102 | 126 | 98 | 97 | 102 | 46 | 98 | 115 |
N.S. |
1 | 1.01 | 1.25 | 0.97 | 0.96 | 1.01 | 0.46 | 0.97 | 1.14 |
time (sec) |
N/A | 0.213 | 0.118 | 7.396 | 0.275 | 0.244 | 0.685 | 0.484 | 5.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 108 | 135 | 111 | 103 | 155 | 42 | 115 | 125 |
N.S. |
1 | 1.01 | 1.26 | 1.04 | 0.96 | 1.45 | 0.39 | 1.07 | 1.17 |
time (sec) |
N/A | 0.214 | 0.171 | 2.062 | 0.275 | 0.257 | 0.721 | 0.494 | 5.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 138 | 158 | 135 | 155 | 199 | 42 | 140 | 217 |
N.S. |
1 | 1.02 | 1.17 | 1.00 | 1.15 | 1.47 | 0.31 | 1.04 | 1.61 |
time (sec) |
N/A | 0.231 | 0.160 | 2.071 | 0.278 | 0.259 | 1.236 | 0.545 | 5.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 314 | 323 | 94 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.03 | 0.30 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.318 | 4.932 | 0.000 | 0.000 | 0.000 | 0.573 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 290 | 293 | 62 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.01 | 0.21 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.272 | 4.717 | 0.000 | 0.000 | 0.000 | 0.600 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 46 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.00 | 0.17 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.14 |
time (sec) |
N/A | 0.242 | 4.552 | 0.000 | 0.000 | 0.000 | 0.512 | 0.000 | 4.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 49 | 0 | 0 | 0 | 29 | 0 | 40 |
N.S. |
1 | 1.00 | 0.19 | 0.00 | 0.00 | 0.00 | 0.11 | 0.00 | 0.15 |
time (sec) |
N/A | 0.253 | 4.700 | 0.000 | 0.000 | 0.000 | 0.543 | 0.000 | 5.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 290 | 289 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.268 | 10.011 | 0.000 | 0.000 | 0.000 | 0.701 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 84 | 50 | 47 | 64 | 57 | 1795 | 57 | 55 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.71 | 22.44 | 0.71 | 0.69 |
time (sec) |
N/A | 0.196 | 0.037 | 1.997 | 0.191 | 0.364 | 1.994 | 0.275 | 4.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 63 | 39 | 36 | 47 | 46 | 700 | 43 | 44 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.78 | 11.86 | 0.73 | 0.75 |
time (sec) |
N/A | 0.181 | 0.034 | 1.977 | 0.180 | 0.354 | 1.157 | 0.298 | 4.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 42 | 39 | 25 | 30 | 35 | 66 | 29 | 33 |
N.S. |
1 | 1.11 | 1.03 | 0.66 | 0.79 | 0.92 | 1.74 | 0.76 | 0.87 |
time (sec) |
N/A | 0.166 | 0.031 | 1.994 | 0.199 | 0.316 | 0.224 | 0.271 | 4.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 42 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.134 | 0.004 | 1.963 | 0.204 | 0.373 | 0.135 | 0.283 | 4.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 103 | 126 | 98 | 97 | 122 | 46 | 98 | 125 |
N.S. |
1 | 1.02 | 1.25 | 0.97 | 0.96 | 1.21 | 0.46 | 0.97 | 1.24 |
time (sec) |
N/A | 0.203 | 0.090 | 7.119 | 0.284 | 0.335 | 0.685 | 0.521 | 4.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 104 | 107 | 136 | 112 | 103 | 290 | 42 | 116 | 136 |
N.S. |
1 | 1.03 | 1.31 | 1.08 | 0.99 | 2.79 | 0.40 | 1.12 | 1.31 |
time (sec) |
N/A | 0.204 | 0.146 | 2.028 | 0.298 | 0.331 | 0.734 | 0.527 | 4.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 137 | 158 | 135 | 155 | 380 | 42 | 141 | 212 |
N.S. |
1 | 1.01 | 1.17 | 1.00 | 1.15 | 2.81 | 0.31 | 1.04 | 1.57 |
time (sec) |
N/A | 0.219 | 0.197 | 2.051 | 0.280 | 0.361 | 1.332 | 0.545 | 5.147 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 601 | 649 | 94 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.08 | 0.16 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.498 | 5.854 | 0.000 | 0.000 | 0.000 | 0.599 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 577 | 619 | 62 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.07 | 0.11 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.00 |
time (sec) |
N/A | 0.464 | 5.398 | 0.000 | 0.000 | 0.000 | 0.555 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 550 | 592 | 46 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.08 | 0.08 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.07 |
time (sec) |
N/A | 0.467 | 5.191 | 0.000 | 0.000 | 0.000 | 0.568 | 0.000 | 4.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 538 | 586 | 49 | 0 | 0 | 0 | 29 | 0 | 40 |
N.S. |
1 | 1.09 | 0.09 | 0.00 | 0.00 | 0.00 | 0.05 | 0.00 | 0.07 |
time (sec) |
N/A | 0.437 | 5.554 | 0.000 | 0.000 | 0.000 | 0.530 | 0.000 | 3.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 575 | 618 | 51 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.07 | 0.09 | 0.00 | 0.00 | 0.00 | 0.06 | 0.00 | 0.00 |
time (sec) |
N/A | 0.485 | 10.009 | 0.000 | 0.000 | 0.000 | 0.695 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 84 | 50 | 47 | 64 | 68 | 136 | 57 | 64 |
N.S. |
1 | 1.05 | 0.62 | 0.59 | 0.80 | 0.85 | 1.70 | 0.71 | 0.80 |
time (sec) |
N/A | 0.204 | 0.041 | 1.981 | 0.197 | 0.243 | 0.544 | 0.278 | 3.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 63 | 39 | 36 | 47 | 57 | 112 | 43 | 53 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.97 | 1.90 | 0.73 | 0.90 |
time (sec) |
N/A | 0.184 | 0.033 | 1.996 | 0.194 | 0.258 | 0.441 | 0.266 | 3.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 42 | 28 | 25 | 30 | 45 | 88 | 29 | 42 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.79 | 1.18 | 2.32 | 0.76 | 1.11 |
time (sec) |
N/A | 0.171 | 0.029 | 1.978 | 0.192 | 0.241 | 0.375 | 0.295 | 3.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 32 | 65 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.78 | 3.61 | 0.78 | 0.78 |
time (sec) |
N/A | 0.134 | 0.004 | 2.002 | 0.194 | 0.245 | 0.190 | 0.319 | 3.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 120 | 135 | 102 | 109 | 111 | 49 | 110 | 133 |
N.S. |
1 | 1.03 | 1.15 | 0.87 | 0.93 | 0.95 | 0.42 | 0.94 | 1.14 |
time (sec) |
N/A | 0.224 | 0.107 | 2.028 | 0.282 | 0.248 | 0.924 | 0.533 | 4.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 124 | 140 | 111 | 116 | 129 | 46 | 131 | 141 |
N.S. |
1 | 1.07 | 1.21 | 0.96 | 1.00 | 1.11 | 0.40 | 1.13 | 1.22 |
time (sec) |
N/A | 0.218 | 0.178 | 2.090 | 0.274 | 0.263 | 1.027 | 0.516 | 5.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 148 | 136 | 152 | 174 | 42 | 139 | 191 |
N.S. |
1 | 1.00 | 1.12 | 1.03 | 1.15 | 1.32 | 0.32 | 1.05 | 1.45 |
time (sec) |
N/A | 0.219 | 0.204 | 2.082 | 0.304 | 0.250 | 1.072 | 0.524 | 5.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 335 | 347 | 79 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.04 | 0.24 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 6.505 | 0.000 | 0.000 | 0.000 | 0.683 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 311 | 317 | 67 | 0 | 0 | 0 | 29 | 0 | 0 |
N.S. |
1 | 1.02 | 0.22 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 6.122 | 0.000 | 0.000 | 0.000 | 0.632 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 285 | 288 | 47 | 0 | 0 | 0 | 26 | 0 | 37 |
N.S. |
1 | 1.01 | 0.16 | 0.00 | 0.00 | 0.00 | 0.09 | 0.00 | 0.13 |
time (sec) |
N/A | 0.259 | 5.756 | 0.000 | 0.000 | 0.000 | 0.589 | 0.000 | 4.895 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 280 | 288 | 50 | 0 | 0 | 0 | 29 | 0 | 40 |
N.S. |
1 | 1.03 | 0.18 | 0.00 | 0.00 | 0.00 | 0.10 | 0.00 | 0.14 |
time (sec) |
N/A | 0.260 | 6.276 | 0.000 | 0.000 | 0.000 | 0.622 | 0.000 | 5.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 52 | 0 | 0 | 0 | 34 | 0 | 0 |
N.S. |
1 | 1.00 | 0.18 | 0.00 | 0.00 | 0.00 | 0.12 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 10.011 | 0.000 | 0.000 | 0.000 | 0.625 | 0.000 | 0.000 |