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 |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.071 | 0.394 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 111 | 0 | 0 | 155 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.420 | 0.007 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 86 | 0 | 0 | 114 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.034 | 0.315 | 0.006 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 60 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.004 | 0.056 | 0.005 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.011 | 0.497 | 0.005 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.211 | 1.655 | 0.011 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.327 | 1.173 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 164 | 0 | 0 | 158 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.129 | 0.407 | 0.015 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 138 | 0 | 0 | 141 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.107 | 0.370 | 0.010 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 89 | 0 | 0 | 124 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 0.00 | 0.00 | 1.25 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.082 | 0.336 | 0.007 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 74 | 0 | 0 | 89 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 0.287 | 0.008 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 0 | 0 | 44 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.007 | 0.039 | 0.006 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.065 | 0.421 | 0.004 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.063 | 0.137 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 26 | 29 | 19 | 19 | 34 | 19 | 19 |
N.S. | 1 | 1.00 | 0.65 | 0.72 | 0.48 | 0.48 | 0.85 | 0.48 | 0.48 |
time (sec) |
N/A | 0.008 | 0.017 | 0.025 | 0.276 | 0.422 | 0.067 | 2.369 | 0.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 241 | 517 | 0 | 243 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.78 | 0.00 | 0.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.215 | 0.147 | 0.095 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 179 | 359 | 0 | 171 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.67 | 1.33 | 0.00 | 0.64 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.189 | 0.116 | 0.072 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 128 | 227 | 0 | 114 | 0 | 0 | 209 |
N.S. | 1 | 1.00 | 0.56 | 0.99 | 0.00 | 0.50 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.158 | 0.085 | 0.076 | 0.000 | 0.381 | 0.000 | 0.000 | 3.927 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 82 | 126 | 0 | 71 | 0 | 0 | 136 |
N.S. | 1 | 1.00 | 0.68 | 1.05 | 0.00 | 0.59 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.080 | 0.052 | 0.083 | 0.000 | 0.399 | 0.000 | 0.000 | 3.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 52 | 0 | 40 | 0 | 0 | 50 |
N.S. | 1 | 1.00 | 1.00 | 1.27 | 0.00 | 0.98 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.021 | 0.013 | 0.067 | 0.000 | 0.360 | 0.000 | 0.000 | 3.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 47 | 0 | 41 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 0.00 | 1.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.098 | 0.023 | 0.093 | 0.000 | 0.348 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 68 | 80 | 0 | 60 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.88 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.275 | 0.063 | 0.076 | 0.000 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 115 | 226 | 0 | 110 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.69 | 1.36 | 0.00 | 0.66 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.500 | 0.100 | 0.068 | 0.000 | 0.350 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 195 | 343 | 0 | 201 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.47 | 0.83 | 0.00 | 0.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.316 | 0.158 | 0.055 | 0.000 | 0.396 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 148 | 228 | 0 | 156 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.51 | 0.78 | 0.00 | 0.54 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 0.108 | 0.043 | 0.000 | 0.369 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 131 | 175 | 0 | 128 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.64 | 0.85 | 0.00 | 0.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.153 | 0.084 | 0.033 | 0.000 | 0.365 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 89 | 93 | 0 | 107 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.84 | 0.00 | 0.96 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.081 | 0.040 | 0.046 | 0.000 | 0.401 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 62 | 65 | 0 | 68 | 0 | 0 | 53 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.10 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.028 | 0.018 | 0.023 | 0.000 | 0.415 | 0.000 | 0.000 | 3.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.012 | 0.054 | 0.006 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.030 | 0.180 | 0.009 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.027 | 0.205 | 0.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 219 | 0 | 0 | 248 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.139 | 0.129 | 0.010 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 167 | 0 | 0 | 221 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 0.00 | 0.00 | 1.20 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.108 | 0.250 | 0.009 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 127 | 0 | 0 | 194 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.37 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.083 | 0.045 | 0.008 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 86 | 0 | 0 | 154 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.046 | 0.007 | 0.000 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 94 | 0 | 0 | 68 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.14 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.004 | 0.007 | 0.006 | 0.000 | 0.098 | 0.000 | 0.000 | 3.970 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.012 | 0.047 | 0.005 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.032 | 0.176 | 0.010 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.029 | 0.027 | 0.011 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.035 | 0.194 | 0.013 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.038 | 0.123 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 36 | 117 | 36 | 39 | 0 | 0 | 41 |
N.S. | 1 | 1.00 | 0.88 | 2.85 | 0.88 | 0.95 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.015 | 0.019 | 0.029 | 0.065 | 0.085 | 0.000 | 0.000 | 3.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.028 | 0.032 | 0.014 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.033 | 0.063 | 0.018 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.031 | 0.059 | 0.022 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.038 | 0.039 | 0.006 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 183 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.111 | 0.105 | 0.004 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 136 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.077 | 0.049 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 91 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.039 | 0.024 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.004 | 0.006 | 0.009 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.014 | 0.027 | 0.007 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.034 | 0.024 | 0.022 | 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 | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.032 | 0.027 | 0.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 59 | 0 | 0 | 75 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.042 | 0.131 | 0.021 | 0.000 | 0.095 | 0.000 | 0.000 | 3.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | C | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 31 | 579 | 5261 | 468 | 794 | 145 | 553 |
N.S. | 1 | 1.00 | 0.30 | 5.51 | 50.10 | 4.46 | 7.56 | 1.38 | 5.27 |
time (sec) |
N/A | 0.092 | 0.365 | 0.108 | 1.755 | 0.396 | 0.312 | 2.686 | 4.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | C | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 31 | 396 | 3727 | 324 | 556 | 124 | 391 |
N.S. | 1 | 1.00 | 0.35 | 4.50 | 42.35 | 3.68 | 6.32 | 1.41 | 4.44 |
time (sec) |
N/A | 0.078 | 0.238 | 0.092 | 1.322 | 0.382 | 0.202 | 2.602 | 3.937 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | C | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 72 | 249 | 2452 | 208 | 364 | 103 | 253 |
N.S. | 1 | 1.00 | 0.57 | 1.98 | 19.46 | 1.65 | 2.89 | 0.82 | 2.01 |
time (sec) |
N/A | 0.177 | 0.206 | 0.092 | 0.986 | 0.380 | 0.142 | 2.636 | 3.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 56 | 138 | 1438 | 120 | 212 | 82 | 142 |
N.S. | 1 | 1.00 | 0.62 | 1.52 | 15.80 | 1.32 | 2.33 | 0.90 | 1.56 |
time (sec) |
N/A | 0.127 | 0.179 | 0.086 | 0.736 | 0.381 | 0.169 | 2.943 | 3.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | B | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 40 | 63 | 683 | 60 | 99 | 1227 | 67 |
N.S. | 1 | 1.00 | 0.65 | 1.02 | 11.02 | 0.97 | 1.60 | 19.79 | 1.08 |
time (sec) |
N/A | 0.072 | 0.155 | 0.079 | 0.522 | 0.361 | 0.074 | 3.191 | 3.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 35 | 34 | 35 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.93 | 1.30 | 1.26 | 1.30 | 0.93 |
time (sec) |
N/A | 0.024 | 0.021 | 0.013 | 0.283 | 0.375 | 0.050 | 2.487 | 3.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 23 | 0 | 32 | 0 | 0 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.45 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.044 | 0.174 | 0.068 | 0.000 | 0.363 | 0.000 | 0.000 | 3.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 53 | 0 | 100 | 0 | 0 | 51 |
N.S. | 1 | 1.00 | 0.89 | 1.00 | 0.00 | 1.89 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.086 | 0.191 | 0.074 | 0.000 | 0.394 | 0.000 | 0.000 | 4.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 64 | 86 | 0 | 183 | 0 | 0 | 76 |
N.S. | 1 | 1.00 | 0.74 | 0.99 | 0.00 | 2.10 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.131 | 0.208 | 0.076 | 0.000 | 0.386 | 0.000 | 0.000 | 5.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 79 | 119 | 0 | 292 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 0.65 | 0.98 | 0.00 | 2.41 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.180 | 0.224 | 0.078 | 0.000 | 0.391 | 0.000 | 0.000 | 3.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 152 | 0 | 430 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 4.90 | 0.00 | 13.87 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.043 | 0.174 | 0.108 | 0.000 | 0.084 | 0.000 | 0.000 | 3.814 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 185 | 0 | 596 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 5.97 | 0.00 | 19.23 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.043 | 0.186 | 0.121 | 0.000 | 0.105 | 0.000 | 0.000 | 3.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 1896 | 6135 | 617 | 0 | 195 | 209 |
N.S. |
1 | 1.00 | 1.00 | 38.69 | 125.20 | 12.59 | 0.00 | 3.98 | 4.27 |
time (sec) |
N/A | 0.045 | 0.672 | 0.339 | 1.613 | 0.091 | 0.000 | 1.447 | 4.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 1359 | 4471 | 456 | 0 | 174 | 730 |
N.S. | 1 | 1.00 | 1.00 | 27.73 | 91.24 | 9.31 | 0.00 | 3.55 | 14.90 |
time (sec) |
N/A | 0.047 | 0.445 | 0.198 | 1.188 | 0.087 | 0.000 | 1.778 | 4.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 153 | 914 | 3066 | 323 | 0 | 153 | 533 |
N.S. | 1 | 1.00 | 0.85 | 5.11 | 17.13 | 1.80 | 0.00 | 0.85 | 2.98 |
time (sec) |
N/A | 0.235 | 0.567 | 0.151 | 1.132 | 0.372 | 0.000 | 2.456 | 3.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 126 | 561 | 1922 | 218 | 0 | 132 | 378 |
N.S. | 1 | 1.00 | 0.87 | 3.87 | 13.26 | 1.50 | 0.00 | 0.91 | 2.61 |
time (sec) |
N/A | 0.163 | 0.296 | 0.105 | 0.867 | 0.349 | 0.000 | 2.816 | 3.772 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 90 | 300 | 1037 | 141 | 0 | 111 | 243 |
N.S. | 1 | 1.00 | 0.81 | 2.70 | 9.34 | 1.27 | 0.00 | 1.00 | 2.19 |
time (sec) |
N/A | 0.109 | 0.237 | 0.117 | 0.626 | 0.379 | 0.000 | 3.153 | 3.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 77 | 131 | 413 | 88 | 0 | 91 | 130 |
N.S. | 1 | 1.00 | 1.00 | 1.70 | 5.36 | 1.14 | 0.00 | 1.18 | 1.69 |
time (sec) |
N/A | 0.060 | 0.176 | 0.087 | 0.427 | 0.355 | 0.000 | 2.337 | 3.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 58 | 58 | 48 | 0 | 36 | 48 |
N.S. | 1 | 1.00 | 1.00 | 1.32 | 1.32 | 1.09 | 0.00 | 0.82 | 1.09 |
time (sec) |
N/A | 0.009 | 0.055 | 0.023 | 0.282 | 0.393 | 0.000 | 2.692 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 63 | 62 | 0 | 83 | 0 | 0 | 86 |
N.S. | 1 | 1.00 | 0.94 | 0.93 | 0.00 | 1.24 | 0.00 | 0.00 | 1.28 |
time (sec) |
N/A | 0.056 | 0.227 | 0.089 | 0.000 | 0.369 | 0.000 | 0.000 | 4.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 81 | 96 | 0 | 163 | 0 | 0 | 201 |
N.S. | 1 | 1.00 | 0.79 | 0.94 | 0.00 | 1.60 | 0.00 | 0.00 | 1.97 |
time (sec) |
N/A | 0.103 | 0.287 | 0.078 | 0.000 | 0.411 | 0.000 | 0.000 | 5.027 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 97 | 129 | 0 | 288 | 0 | 0 | 168 |
N.S. |
1 | 1.00 | 0.71 | 0.95 | 0.00 | 2.12 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 0.150 | 0.315 | 0.080 | 0.000 | 0.378 | 0.000 | 0.000 | 4.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 112 | 162 | 0 | 429 | 0 | 0 | 201 |
N.S. |
1 | 1.00 | 0.66 | 0.95 | 0.00 | 2.52 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.198 | 0.359 | 0.099 | 0.000 | 0.371 | 0.000 | 0.000 | 4.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 195 | 0 | 598 | 0 | 0 | 234 |
N.S. |
1 | 1.00 | 1.00 | 3.98 | 0.00 | 12.20 | 0.00 | 0.00 | 4.78 |
time (sec) |
N/A | 0.045 | 0.303 | 0.108 | 0.000 | 0.367 | 0.000 | 0.000 | 4.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 228 | 0 | 795 | 0 | 0 | 267 |
N.S. |
1 | 1.00 | 1.00 | 4.65 | 0.00 | 16.22 | 0.00 | 0.00 | 5.45 |
time (sec) |
N/A | 0.045 | 0.338 | 0.137 | 0.000 | 0.392 | 0.000 | 0.000 | 4.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 71 | 0 | 0 | 75 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.045 | 0.138 | 0.022 | 0.000 | 0.104 | 0.000 | 0.000 | 3.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | B | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 31 | 857 | 1268 | 688 | 1170 | 0 | 685 |
N.S. |
1 | 1.00 | 0.30 | 8.16 | 12.08 | 6.55 | 11.14 | 0.00 | 6.52 |
time (sec) |
N/A | 0.083 | 0.521 | 0.096 | 0.409 | 0.402 | 0.378 | 0.000 | 4.370 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | B | B | B | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 31 | 584 | 874 | 474 | 821 | 0 | 487 |
N.S. |
1 | 1.00 | 0.35 | 6.64 | 9.93 | 5.39 | 9.33 | 0.00 | 5.53 |
time (sec) |
N/A | 0.082 | 0.487 | 0.079 | 0.386 | 0.368 | 0.294 | 0.000 | 4.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 75 | 365 | 555 | 302 | 536 | 1320 | 323 |
N.S. | 1 | 1.00 | 0.60 | 2.94 | 4.48 | 2.44 | 4.32 | 10.65 | 2.60 |
time (sec) |
N/A | 0.198 | 0.402 | 0.066 | 0.392 | 0.377 | 0.201 | 4.601 | 3.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 56 | 200 | 308 | 172 | 304 | 705 | 196 |
N.S. | 1 | 1.00 | 0.58 | 2.08 | 3.21 | 1.79 | 3.17 | 7.34 | 2.04 |
time (sec) |
N/A | 0.144 | 0.236 | 0.087 | 0.382 | 0.373 | 0.137 | 1.787 | 3.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 40 | 89 | 133 | 84 | 143 | 1014 | 95 |
N.S. | 1 | 1.00 | 0.65 | 1.44 | 2.15 | 1.35 | 2.31 | 16.35 | 1.53 |
time (sec) |
N/A | 0.093 | 0.178 | 0.105 | 0.384 | 0.366 | 0.092 | 2.491 | 3.627 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 47 | 44 | 47 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.93 | 1.74 | 1.63 | 1.74 | 0.93 |
time (sec) |
N/A | 0.046 | 0.025 | 0.090 | 0.286 | 0.355 | 0.062 | 1.972 | 3.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 0 | 0 | 44 | 0 | 0 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.00 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.044 | 0.192 | 0.015 | 0.000 | 0.369 | 0.000 | 0.000 | 3.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 0 | 0 | 147 | 0 | 0 | 51 |
N.S. | 1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.77 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.088 | 0.194 | 0.021 | 0.000 | 0.353 | 0.000 | 0.000 | 3.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 64 | 0 | 0 | 269 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 3.09 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.132 | 0.224 | 0.034 | 0.000 | 0.353 | 0.000 | 0.000 | 4.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 80 | 0 | 0 | 431 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 3.56 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.181 | 0.251 | 0.052 | 0.000 | 0.395 | 0.000 | 0.000 | 3.871 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 636 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 20.52 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.042 | 0.209 | 0.078 | 0.000 | 0.113 | 0.000 | 0.000 | 4.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 883 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 28.48 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.042 | 0.232 | 0.107 | 0.000 | 0.092 | 0.000 | 0.000 | 4.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 118 | 0 | 0 | 112 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.41 | 0.00 | 0.00 | 2.29 |
time (sec) |
N/A | 0.046 | 0.222 | 0.015 | 0.000 | 0.087 | 0.000 | 0.000 | 3.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 63 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.29 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.026 | 0.158 | 0.007 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 0 | 0 | 63 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.005 | 0.092 | 0.005 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 110 | 0 | 0 | 74 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.24 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.042 | 0.326 | 0.015 | 0.000 | 0.102 | 0.000 | 0.000 | 3.730 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 135 | 0 | 0 | 87 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.76 | 0.00 | 0.00 | 1.78 |
time (sec) |
N/A | 0.042 | 0.348 | 0.017 | 0.000 | 0.087 | 0.000 | 0.000 | 3.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 226 | 0 | 0 | 130 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 4.61 | 0.00 | 0.00 | 2.65 |
time (sec) |
N/A | 0.040 | 0.391 | 0.022 | 0.000 | 0.109 | 0.000 | 0.000 | 4.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | A | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 42 | 0 | 43 | 42 | 80 | 781 | 38 |
N.S. | 1 | 1.00 | 0.66 | 0.00 | 0.67 | 0.66 | 1.25 | 12.20 | 0.59 |
time (sec) |
N/A | 0.025 | 0.040 | 0.009 | 0.280 | 0.365 | 0.261 | 4.979 | 3.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 60 | 0 | 62 | 58 | 0 | 1338 | 54 |
N.S. | 1 | 1.00 | 0.60 | 0.00 | 0.62 | 0.58 | 0.00 | 13.38 | 0.54 |
time (sec) |
N/A | 0.045 | 0.033 | 0.002 | 0.278 | 0.411 | 0.000 | 3.876 | 3.577 |