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 | Mathics | |
grade |
A | A | A | B | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 31 | 31 | 25 | 20 | 35 | 14 | 28 |
N.S. | 1 | 1.00 | 1.00 | 2.21 | 2.21 | 1.79 | 1.43 | 2.50 | 1.00 | 2.00 |
time (sec) |
N/A | 0.005 | 0.003 | 0.046 | 0.264 | 0.338 | 0.072 | 0.006 | 0.058 | 1.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 15 | 14 | 14 | 26 | 13 | 14 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.00 | 1.86 | 0.93 | 1.00 | 2.07 |
time (sec) |
N/A | 0.003 | 0.003 | 0.049 | 0.352 | 0.342 | 0.069 | 0.006 | 0.040 | 2.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 37 | 18 | 17 | 26 | 27 | 46 | 11 | 31 |
N.S. | 1 | 1.00 | 2.85 | 1.38 | 1.31 | 2.00 | 2.08 | 3.54 | 0.85 | 2.38 |
time (sec) |
N/A | 0.004 | 0.007 | 0.022 | 0.271 | 0.337 | 0.055 | 0.010 | 0.233 | 2.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 23 | 15 | 19 | 23 | 22 | 13 | 7 | 19 |
N.S. | 1 | 1.00 | 2.09 | 1.36 | 1.73 | 2.09 | 2.00 | 1.18 | 0.64 | 1.73 |
time (sec) |
N/A | 0.002 | 0.007 | 0.031 | 0.266 | 0.343 | 0.054 | 0.008 | 0.070 | 1.972 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 21 | 27 | 29 | 22 | 56 | 24 | 23 |
N.S. | 1 | 1.00 | 1.00 | 1.40 | 1.80 | 1.93 | 1.47 | 3.73 | 1.60 | 1.53 |
time (sec) |
N/A | 0.002 | 0.005 | 0.130 | 0.283 | 0.357 | 0.103 | 0.008 | 0.207 | 2.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 4 | 4 | 3 | 3 | 12 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 2.00 | 2.00 | 1.50 | 1.50 | 6.00 | 4.00 |
time (sec) |
N/A | 0.004 | 0.002 | 0.011 | 0.274 | 0.348 | 0.030 | 0.005 | 0.255 | 1.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 5 | 6 | 6 | 5 | 4 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.25 | 1.50 | 1.50 | 1.25 | 1.00 | 1.50 | 1.50 |
time (sec) |
N/A | 0.004 | 0.002 | 0.000 | 0.270 | 0.336 | 0.031 | 0.004 | 0.208 | 1.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 5 | 27 | 4 | 7 | 6 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 4.50 | 0.67 | 1.17 | 1.00 | 0.67 | 0.67 |
time (sec) |
N/A | 0.015 | 0.011 | 0.026 | 0.263 | 0.330 | 0.394 | 0.008 | 0.180 | 2.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 6 | 5 | 9 | 9 | 3 | 9 | 4 | 4 |
N.S. | 1 | 1.00 | 0.67 | 0.56 | 1.00 | 1.00 | 0.33 | 1.00 | 0.44 | 0.44 |
time (sec) |
N/A | 0.006 | 0.004 | 0.016 | 0.274 | 0.327 | 0.092 | 0.004 | 0.189 | 1.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 8 | 9 | 10 | 10 | 7 | 11 | 6 | 8 |
N.S. | 1 | 1.00 | 0.67 | 0.75 | 0.83 | 0.83 | 0.58 | 0.92 | 0.50 | 0.67 |
time (sec) |
N/A | 0.007 | 0.008 | 0.008 | 0.266 | 0.325 | 0.170 | 0.002 | 0.002 | 1.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 13 | 12 | 15 | 12 | 13 | 27 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.08 | 1.00 | 1.25 | 1.00 | 1.08 | 2.25 |
time (sec) |
N/A | 0.015 | 0.014 | 0.033 | 0.273 | 0.377 | 0.176 | 0.001 | 0.198 | 1.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 15 | 15 | 31 | 16 | 15 | 53 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.00 | 2.07 | 1.07 | 1.00 | 3.53 |
time (sec) |
N/A | 0.017 | 0.008 | 0.057 | 0.363 | 0.387 | 0.266 | 0.003 | 0.047 | 1.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 33 | 33 | 26 | 44 | 41 | 15 | 73 |
N.S. | 1 | 1.00 | 1.00 | 2.20 | 2.20 | 1.73 | 2.93 | 2.73 | 1.00 | 4.87 |
time (sec) |
N/A | 0.018 | 0.007 | 0.069 | 0.269 | 0.362 | 0.276 | 0.002 | 0.184 | 2.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 18 | 17 | 21 | 32 | 18 | 48 | 36 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.24 | 1.88 | 1.06 | 2.82 | 2.12 |
time (sec) |
N/A | 0.024 | 0.007 | 0.091 | 0.264 | 0.356 | 1.371 | 0.001 | 0.606 | 3.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 20 | 20 | 23 | 34 | 21 | 48 | 38 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 1.05 | 1.21 | 1.79 | 1.11 | 2.53 | 2.00 |
time (sec) |
N/A | 0.025 | 0.008 | 0.138 | 0.263 | 0.345 | 1.401 | 0.001 | 0.491 | 4.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 22 | 22 | 19 | 18 | 18 | 34 | 19 | 58 | 37 |
N.S. | 1 | 1.22 | 1.22 | 1.06 | 1.00 | 1.00 | 1.89 | 1.06 | 3.22 | 2.06 |
time (sec) |
N/A | 0.026 | 0.011 | 0.087 | 0.259 | 0.359 | 1.363 | 0.002 | 0.406 | 4.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 22 | 22 | 19 | 19 | 19 | 32 | 20 | 58 | 37 |
N.S. | 1 | 1.22 | 1.22 | 1.06 | 1.06 | 1.06 | 1.78 | 1.11 | 3.22 | 2.06 |
time (sec) |
N/A | 0.027 | 0.009 | 0.166 | 0.265 | 0.357 | 1.403 | 0.001 | 0.379 | 4.073 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 19 | 14 | 13 | 31 | 61 | 57 | 26 | 37 |
N.S. | 1 | 1.00 | 0.46 | 0.34 | 0.32 | 0.76 | 1.49 | 1.39 | 0.63 | 0.90 |
time (sec) |
N/A | 0.011 | 0.018 | 0.037 | 0.358 | 0.373 | 0.235 | 0.001 | 0.232 | 2.681 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 6 | 15 | 15 | 15 | 19 | 15 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 2.50 | 2.50 | 2.50 | 3.17 | 2.50 | 2.83 |
time (sec) |
N/A | 0.011 | 0.002 | 0.006 | 0.265 | 0.332 | 0.054 | 0.000 | 0.004 | 1.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 3 | 3 | 3 | 4 | 3 | 3 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 1.00 | 1.00 | 1.33 | 1.00 | 1.00 |
time (sec) |
N/A | 0.008 | 0.004 | 0.003 | 0.265 | 0.356 | 0.043 | 0.000 | 0.176 | 1.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 3 | 3 | 15 | 3 | 3 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 1.00 | 5.00 | 1.00 | 1.00 | 7.33 |
time (sec) |
N/A | 0.012 | 0.009 | 0.004 | 0.344 | 0.323 | 0.067 | 0.000 | 0.336 | 1.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 7 | 10 | 7 | 7 | 7 | 24 | 7 | 7 |
N.S. | 1 | 1.00 | 0.78 | 1.11 | 0.78 | 0.78 | 0.78 | 2.67 | 0.78 | 0.78 |
time (sec) |
N/A | 0.012 | 0.007 | 0.006 | 0.275 | 0.345 | 0.048 | 0.000 | 0.206 | 1.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 9 | 9 | 7 | 8 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.00 | 0.78 | 0.89 | 1.00 | 1.00 |
time (sec) |
N/A | 0.011 | 0.013 | 0.007 | 0.256 | 0.319 | 0.050 | 0.001 | 0.209 | 1.796 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 22 | 24 | 22 | 27 | 24 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.88 | 0.96 | 0.88 | 1.08 | 0.96 | 0.84 |
time (sec) |
N/A | 0.012 | 0.016 | 0.027 | 0.258 | 0.333 | 0.171 | 0.001 | 0.043 | 1.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 21 | 20 | 22 | 27 | 43 | 22 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.70 | 0.67 | 0.73 | 0.90 | 1.43 | 0.73 | 0.67 |
time (sec) |
N/A | 0.060 | 0.020 | 0.007 | 0.269 | 0.368 | 2.001 | 0.002 | 0.034 | 3.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 10 | 10 | 8 | 16 | 8 | 10 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.00 | 1.00 | 0.80 | 1.60 | 0.80 | 1.00 |
time (sec) |
N/A | 0.003 | 0.002 | 0.054 | 0.271 | 0.324 | 0.034 | 0.000 | 0.063 | 1.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 24 | 36 | 40 | 42 | 51 | 47 | 35 |
N.S. | 1 | 1.00 | 1.00 | 0.51 | 0.77 | 0.85 | 0.89 | 1.09 | 1.00 | 0.74 |
time (sec) |
N/A | 0.015 | 0.020 | 0.054 | 0.353 | 0.324 | 0.055 | 0.002 | 0.132 | 1.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 24 | 23 | 23 | 27 | 46 | 21 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.77 | 0.77 | 0.90 | 1.53 | 0.70 | 0.70 |
time (sec) |
N/A | 0.005 | 0.009 | 0.060 | 0.354 | 0.325 | 0.056 | 0.000 | 0.037 | 1.853 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 14 | 13 | 24 | 22 | 26 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.62 | 1.14 | 1.05 | 1.24 | 0.62 | 0.62 |
time (sec) |
N/A | 0.005 | 0.012 | 0.055 | 0.277 | 0.338 | 0.143 | 0.001 | 0.167 | 1.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 11 | 24 | 26 | 13 | 11 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.73 | 1.60 | 1.73 | 0.87 | 0.73 | 1.40 |
time (sec) |
N/A | 0.005 | 0.007 | 0.063 | 0.278 | 0.350 | 0.142 | 0.001 | 0.060 | 2.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 20 | 186 | 89 | 138 | 16 | 118 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 8.86 | 4.24 | 6.57 | 0.76 | 5.62 | 0.00 |
time (sec) |
N/A | 0.022 | 0.056 | 0.067 | 0.361 | 0.426 | 0.665 | 0.009 | 1.334 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 10 | 13 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 0.93 | 0.71 | 0.71 |
time (sec) |
N/A | 0.003 | 0.002 | 0.000 | 0.284 | 0.346 | 0.028 | 0.000 | 0.028 | 1.841 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 10 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.002 | 0.016 | 0.259 | 0.336 | 0.027 | 0.000 | 0.026 | 1.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 10 | 12 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.25 | 1.50 | 0.75 |
time (sec) |
N/A | 0.007 | 0.001 | 0.023 | 0.259 | 0.325 | 0.029 | 0.000 | 0.030 | 1.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 32 | 14 | 22 | 15 | 16 | 11 | 14 |
N.S. | 1 | 1.00 | 1.00 | 2.91 | 1.27 | 2.00 | 1.36 | 1.45 | 1.00 | 1.27 |
time (sec) |
N/A | 0.009 | 0.005 | 0.027 | 0.271 | 0.336 | 0.042 | 0.001 | 0.072 | 1.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 6 | 15 | 9 | 18 | 12 | 7 | 6 | 8 |
N.S. | 1 | 1.00 | 0.86 | 2.14 | 1.29 | 2.57 | 1.71 | 1.00 | 0.86 | 1.14 |
time (sec) |
N/A | 0.014 | 0.006 | 0.021 | 0.262 | 0.327 | 0.032 | 0.001 | 0.201 | 1.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 28 | 18 | 12 | 23 | 19 | 36 | 10 | 12 |
N.S. | 1 | 1.00 | 2.00 | 1.29 | 0.86 | 1.64 | 1.36 | 2.57 | 0.71 | 0.86 |
time (sec) |
N/A | 0.004 | 0.010 | 0.013 | 0.370 | 0.324 | 0.032 | 0.009 | 0.170 | 1.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 26 | 19 | 12 | 20 | 17 | 20 | 18 | 16 |
N.S. | 1 | 1.00 | 1.62 | 1.19 | 0.75 | 1.25 | 1.06 | 1.25 | 1.12 | 1.00 |
time (sec) |
N/A | 0.006 | 0.010 | 0.027 | 0.370 | 0.351 | 0.065 | 0.004 | 0.270 | 1.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 12 | 19 | 10 | 11 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.20 | 1.90 | 1.00 | 1.10 | 1.20 | 1.20 |
time (sec) |
N/A | 0.017 | 0.012 | 0.033 | 0.374 | 0.345 | 0.154 | 0.003 | 0.267 | 1.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 12 | 15 | 14 | 25 | 10 | 19 | 14 | 14 |
N.S. | 1 | 1.00 | 0.86 | 1.07 | 1.00 | 1.79 | 0.71 | 1.36 | 1.00 | 1.00 |
time (sec) |
N/A | 0.039 | 0.007 | 0.040 | 0.369 | 0.337 | 0.646 | 0.004 | 0.275 | 3.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 25 | 19 | 28 | 24 | 29 | 15 | 12 | 18 |
N.S. | 1 | 1.00 | 2.27 | 1.73 | 2.55 | 2.18 | 2.64 | 1.36 | 1.09 | 1.64 |
time (sec) |
N/A | 0.013 | 0.027 | 0.027 | 0.353 | 0.369 | 0.242 | 0.003 | 0.235 | 2.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 21 | 17 | 23 | 14 | 8 | 17 | 10 | 12 |
N.S. | 1 | 1.00 | 1.31 | 1.06 | 1.44 | 0.88 | 0.50 | 1.06 | 0.62 | 0.75 |
time (sec) |
N/A | 0.015 | 0.016 | 0.024 | 0.355 | 0.327 | 0.210 | 0.004 | 0.166 | 1.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 33 | 29 | 18 | 22 | 19 | 32 | 18 | 21 |
N.S. | 1 | 1.00 | 1.32 | 1.16 | 0.72 | 0.88 | 0.76 | 1.28 | 0.72 | 0.84 |
time (sec) |
N/A | 0.015 | 0.018 | 0.016 | 0.269 | 0.339 | 0.055 | 0.001 | 0.216 | 1.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 14 | 13 | 13 | 12 | 18 | 8 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.62 | 0.62 | 0.57 | 0.86 | 0.38 | 0.62 |
time (sec) |
N/A | 0.003 | 0.002 | 0.080 | 0.272 | 0.334 | 0.048 | 0.000 | 0.257 | 1.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 10 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.010 | 0.004 | 0.013 | 0.431 | 0.334 | 0.052 | 0.000 | 0.063 | 1.796 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 47 | 29 | 35 | 45 | 42 | 54 | 34 | 35 |
N.S. | 1 | 1.00 | 0.92 | 0.57 | 0.69 | 0.88 | 0.82 | 1.06 | 0.67 | 0.69 |
time (sec) |
N/A | 0.011 | 0.017 | 0.100 | 0.355 | 0.369 | 0.059 | 0.000 | 0.122 | 1.927 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 47 | 25 | 25 | 29 | 34 | 25 | 25 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 0.76 | 0.76 | 0.88 | 1.03 | 0.76 | 0.76 |
time (sec) |
N/A | 0.008 | 0.013 | 0.094 | 0.265 | 0.343 | 0.060 | 0.001 | 0.203 | 1.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 19 | 18 | 68 | 73 | 26 | 19 | 92 |
N.S. | 1 | 1.00 | 1.00 | 0.66 | 0.62 | 2.34 | 2.52 | 0.90 | 0.66 | 3.17 |
time (sec) |
N/A | 0.009 | 0.015 | 0.054 | 0.356 | 0.328 | 0.437 | 0.001 | 0.205 | 2.132 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 23 | 22 | 19 | 37 | 38 | 20 | 19 |
N.S. | 1 | 1.00 | 0.74 | 0.85 | 0.81 | 0.70 | 1.37 | 1.41 | 0.74 | 0.70 |
time (sec) |
N/A | 0.007 | 0.011 | 0.048 | 0.345 | 0.325 | 0.160 | 0.000 | 0.042 | 2.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 18 | 25 | 29 | 12 | 18 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.82 | 1.14 | 1.32 | 0.55 | 0.82 | 1.50 |
time (sec) |
N/A | 0.006 | 0.082 | 0.053 | 0.351 | 0.328 | 0.455 | 0.003 | 0.094 | 2.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 41 | 12 | 26 | 22 | 23 | 24 | 35 |
N.S. | 1 | 1.00 | 1.00 | 1.86 | 0.55 | 1.18 | 1.00 | 1.05 | 1.09 | 1.59 |
time (sec) |
N/A | 0.008 | 0.014 | 0.055 | 0.353 | 0.341 | 0.458 | 0.001 | 0.258 | 2.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 53 | 37 | 34 | 25 | 22 | 47 | 21 | 35 |
N.S. | 1 | 1.00 | 2.30 | 1.61 | 1.48 | 1.09 | 0.96 | 2.04 | 0.91 | 1.52 |
time (sec) |
N/A | 0.009 | 0.031 | 0.052 | 0.265 | 0.337 | 0.472 | 0.001 | 0.445 | 2.340 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 49 | 35 | 12 | 40 | 7 | 43 | 26 | 11 |
N.S. | 1 | 1.00 | 2.33 | 1.67 | 0.57 | 1.90 | 0.33 | 2.05 | 1.24 | 0.52 |
time (sec) |
N/A | 0.008 | 0.023 | 0.053 | 0.263 | 0.324 | 0.442 | 0.001 | 0.094 | 2.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 21 | 7 | 8 | 30 | 0 | 9 | 6 | 0 |
N.S. |
1 | 1.00 | 1.75 | 0.58 | 0.67 | 2.50 | 0.00 | 0.75 | 0.50 | 0.00 |
time (sec) |
N/A | 0.004 | 0.051 | 0.099 | 0.344 | 0.360 | 0.000 | 0.001 | 0.182 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 33 | 15 | 16 | 38 | 0 | 41 | 26 | 0 |
N.S. |
1 | 1.00 | 1.74 | 0.79 | 0.84 | 2.00 | 0.00 | 2.16 | 1.37 | 0.00 |
time (sec) |
N/A | 0.009 | 0.054 | 0.226 | 0.355 | 0.331 | 0.000 | 0.002 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 38 | 7 | 6 | 16 | 0 | 6 | 6 | 0 |
N.S. |
1 | 1.00 | 4.75 | 0.88 | 0.75 | 2.00 | 0.00 | 0.75 | 0.75 | 0.00 |
time (sec) |
N/A | 0.002 | 0.024 | 0.075 | 0.348 | 0.334 | 0.000 | 0.001 | 0.156 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 36 | 22 | 21 | 43 | 0 | 26 | 40 | 0 |
N.S. |
1 | 1.00 | 1.33 | 0.81 | 0.78 | 1.59 | 0.00 | 0.96 | 1.48 | 0.00 |
time (sec) |
N/A | 0.006 | 0.081 | 0.096 | 0.356 | 0.318 | 0.000 | 0.004 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 34 | 25 | 33 | 39 | 0 | 82 | 28 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.78 | 1.03 | 1.22 | 0.00 | 2.56 | 0.88 | 0.00 |
time (sec) |
N/A | 0.007 | 0.063 | 0.106 | 0.364 | 0.325 | 0.000 | 0.004 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 23 | 21 | 22 | 17 | 17 | 0 | 32 | 19 | 0 |
N.S. |
1 | 1.10 | 1.00 | 1.05 | 0.81 | 0.81 | 0.00 | 1.52 | 0.90 | 0.00 |
time (sec) |
N/A | 0.004 | 0.085 | 0.090 | 0.355 | 0.317 | 0.000 | 0.005 | 0.221 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 54 | 23 | 33 | 39 | 22 | 44 | 22 | 22 |
N.S. | 1 | 1.00 | 1.93 | 0.82 | 1.18 | 1.39 | 0.79 | 1.57 | 0.79 | 0.79 |
time (sec) |
N/A | 0.084 | 0.042 | 0.069 | 0.273 | 0.351 | 0.316 | 0.004 | 0.278 | 2.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 48 | 17 | 14 | 13 | 31 | 0 | 57 | 26 | 0 |
N.S. |
1 | 1.30 | 0.46 | 0.38 | 0.35 | 0.84 | 0.00 | 1.54 | 0.70 | 0.00 |
time (sec) |
N/A | 0.013 | 0.033 | 0.039 | 0.353 | 0.343 | 0.000 | 0.001 | 0.236 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 21 | 11 | 47 | 32 | 27 | 16 | 10 | 21 |
N.S. | 1 | 1.00 | 1.50 | 0.79 | 3.36 | 2.29 | 1.93 | 1.14 | 0.71 | 1.50 |
time (sec) |
N/A | 0.022 | 0.015 | 0.077 | 0.268 | 0.338 | 0.700 | 0.003 | 0.215 | 2.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 23 | 4 | 15 | 45 | 15 | 20 | 3 | 15 |
N.S. | 1 | 1.00 | 2.09 | 0.36 | 1.36 | 4.09 | 1.36 | 1.82 | 0.27 | 1.36 |
time (sec) |
N/A | 0.019 | 0.006 | 0.020 | 0.265 | 0.336 | 0.071 | 0.002 | 0.352 | 1.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 19 | 19 | 15 | 14 | 14 | 0 | 79 | 14 | 0 |
N.S. |
1 | 1.06 | 1.06 | 0.83 | 0.78 | 0.78 | 0.00 | 4.39 | 0.78 | 0.00 |
time (sec) |
N/A | 0.028 | 0.011 | 0.037 | 0.278 | 0.341 | 0.000 | 0.002 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 15 | 17 | 24 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.83 | 0.94 | 1.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.029 | 0.014 | 0.065 | 0.263 | 0.333 | 1.036 | 0.002 | 0.304 | 2.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 15 | 15 | 0 | 16 | 37 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.00 | 0.94 | 2.18 | 0.00 |
time (sec) |
N/A | 0.009 | 0.020 | 0.041 | 0.348 | 0.342 | 0.000 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 0 | 18 | 16 | 7 | 24 | 16 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.90 | 0.80 | 0.35 | 1.20 | 0.80 | 0.40 |
time (sec) |
N/A | 0.015 | 0.023 | 0.007 | 0.270 | 0.323 | 0.356 | 0.003 | 0.341 | 1.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 12 | 12 | 15 | 11 | 12 | 21 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.25 | 0.92 | 1.00 | 1.75 |
time (sec) |
N/A | 0.015 | 0.004 | 0.138 | 0.262 | 0.350 | 0.938 | 0.001 | 0.232 | 2.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 38 | 0 | 38 | 0 | 24 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.00 | 0.90 | 0.00 | 0.57 | -0.02 | 0.00 |
time (sec) |
N/A | 0.018 | 0.028 | 0.071 | 0.000 | 0.317 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.014 | 0.005 | 0.054 | 0.349 | 0.313 | 0.511 | 0.001 | 0.349 | 2.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 23 | 17 | 22 | 22 | 26 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.61 | 0.79 | 0.79 | 0.93 | 0.61 | 0.61 |
time (sec) |
N/A | 0.006 | 0.002 | 0.000 | 0.279 | 0.319 | 0.053 | 0.001 | 0.034 | 1.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 13 | 11 | 15 | 18 | 9 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.65 | 0.88 | 1.06 | 0.53 | 0.65 |
time (sec) |
N/A | 0.004 | 0.002 | 0.008 | 0.269 | 0.334 | 0.052 | 0.000 | 0.166 | 1.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 38 | 38 | 53 | 28 | 28 | 26 | 88 | 40 | 28 |
N.S. | 1 | 1.06 | 1.06 | 1.47 | 0.78 | 0.78 | 0.72 | 2.44 | 1.11 | 0.78 |
time (sec) |
N/A | 0.016 | 0.005 | 0.030 | 0.266 | 0.330 | 0.062 | 0.002 | 0.345 | 1.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 23 | 17 | 15 | 18 | 17 | 19 | 21 | 15 |
N.S. | 1 | 1.00 | 1.21 | 0.89 | 0.79 | 0.95 | 0.89 | 1.00 | 1.11 | 0.79 |
time (sec) |
N/A | 0.005 | 0.002 | 0.011 | 0.263 | 0.386 | 0.031 | 0.000 | 0.002 | 1.812 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 26 | 18 | 25 | 31 | 28 | 26 | 30 |
N.S. | 1 | 1.00 | 0.88 | 0.76 | 0.53 | 0.74 | 0.91 | 0.82 | 0.76 | 0.88 |
time (sec) |
N/A | 0.020 | 0.010 | 0.021 | 0.262 | 0.324 | 0.030 | 0.001 | 0.022 | 1.919 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 71 | 26 | 42 | 69 | 46 | 100 | 33 | 31 |
N.S. | 1 | 1.00 | 2.73 | 1.00 | 1.62 | 2.65 | 1.77 | 3.85 | 1.27 | 1.19 |
time (sec) |
N/A | 0.007 | 0.006 | 0.076 | 0.261 | 0.346 | 0.073 | 0.001 | 0.291 | 2.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 14 | 18 | 11 | 17 | 17 | 17 | 11 | 16 |
N.S. | 1 | 1.00 | 0.61 | 0.78 | 0.48 | 0.74 | 0.74 | 0.74 | 0.48 | 0.70 |
time (sec) |
N/A | 0.005 | 0.009 | 0.025 | 0.277 | 0.321 | 0.183 | 0.000 | 0.023 | 1.885 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 22 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.81 | 0.70 | 0.74 |
time (sec) |
N/A | 0.006 | 0.024 | 0.024 | 0.270 | 0.310 | 0.108 | 0.001 | 0.036 | 1.922 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 32 | 24 | 20 | 107 | 383 | 20 | 83 |
N.S. | 1 | 1.00 | 0.65 | 1.03 | 0.77 | 0.65 | 3.45 | 12.35 | 0.65 | 2.68 |
time (sec) |
N/A | 0.008 | 0.015 | 0.033 | 0.262 | 0.373 | 0.292 | 0.004 | 0.026 | 2.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 10 | 13 | 15 | 15 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.59 | 0.76 | 0.88 | 0.88 | 0.76 | 0.76 |
time (sec) |
N/A | 0.002 | 0.003 | 0.016 | 0.268 | 0.315 | 0.126 | 0.000 | 0.195 | 1.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 67 | 94 | 22 | 15 | 14 | 35 | 31 |
N.S. | 1 | 1.00 | 1.00 | 5.58 | 7.83 | 1.83 | 1.25 | 1.17 | 2.92 | 2.58 |
time (sec) |
N/A | 0.012 | 0.012 | 0.119 | 0.353 | 0.316 | 20.090 | 0.007 | 0.428 | 4.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 20 | 107 | 21 | 19 | 27 | 13 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 7.13 | 1.40 | 1.27 | 1.80 | 0.87 | 1.13 |
time (sec) |
N/A | 0.009 | 0.013 | 0.006 | 0.356 | 0.318 | 0.074 | 0.006 | 0.023 | 1.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 21 | 33 | 39 | 22 | 41 | 20 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 1.50 | 1.77 | 1.00 | 1.86 | 0.91 | 0.00 |
time (sec) |
N/A | 0.010 | 0.003 | 0.001 | 0.353 | 0.353 | 0.958 | 0.003 | 0.021 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 24 | 23 | 23 | 22 | 25 | 22 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.92 | 0.92 | 0.88 | 1.00 | 0.88 | 0.92 |
time (sec) |
N/A | 0.020 | 0.005 | 0.001 | 0.354 | 0.313 | 0.077 | 0.002 | 0.049 | 2.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 20 | 24 | 19 | 19 | 21 | 19 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 1.04 | 0.83 | 0.83 | 0.91 | 0.83 | 0.83 |
time (sec) |
N/A | 0.030 | 0.010 | 0.079 | 0.372 | 0.316 | 0.131 | 0.001 | 0.220 | 2.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 57 | 49 | 45 | 78 | 30 | 63 | 0 | -1 | 0 |
N.S. |
1 | 1.50 | 1.29 | 1.18 | 2.05 | 0.79 | 1.66 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.020 | 0.036 | 0.008 | 0.356 | 0.317 | 4.760 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 21 | 21 | 22 | 25 | 21 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.84 | 0.84 | 0.88 | 1.00 | 0.84 | 0.80 |
time (sec) |
N/A | 0.005 | 0.002 | 0.040 | 0.264 | 0.310 | 0.027 | 0.000 | 0.043 | 1.706 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 30 | 29 | 29 | 34 | 40 | 29 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.74 | 0.74 | 0.87 | 1.03 | 0.74 | 0.72 |
time (sec) |
N/A | 0.009 | 0.001 | 0.084 | 0.271 | 0.321 | 0.030 | 0.000 | 0.032 | 1.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 29 | 23 | 27 | 75 | 20 | 23 | 112 |
N.S. | 1 | 1.00 | 1.00 | 1.26 | 1.00 | 1.17 | 3.26 | 0.87 | 1.00 | 4.87 |
time (sec) |
N/A | 0.005 | 0.032 | 0.077 | 0.270 | 0.324 | 19.412 | 0.003 | 0.725 | 22.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 27 | 23 | 22 | 22 | 20 | 28 | 20 | 22 |
N.S. | 1 | 1.00 | 0.90 | 0.77 | 0.73 | 0.73 | 0.67 | 0.93 | 0.67 | 0.73 |
time (sec) |
N/A | 0.007 | 0.005 | 0.052 | 0.269 | 0.318 | 0.036 | 0.000 | 0.035 | 1.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 35 | 27 | 26 | 32 | 34 | 43 | 32 | 26 |
N.S. | 1 | 1.00 | 0.85 | 0.66 | 0.63 | 0.78 | 0.83 | 1.05 | 0.78 | 0.63 |
time (sec) |
N/A | 0.008 | 0.009 | 0.061 | 0.358 | 0.307 | 0.049 | 0.001 | 0.041 | 1.999 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 16 | 15 | 15 | 14 | 20 | 8 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.71 | 0.71 | 0.67 | 0.95 | 0.38 | 0.62 |
time (sec) |
N/A | 0.004 | 0.002 | 0.081 | 0.267 | 0.321 | 0.049 | 0.000 | 0.089 | 1.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 32 | 29 | 28 | 28 | 36 | 33 | 30 | 28 |
N.S. | 1 | 1.00 | 0.97 | 0.88 | 0.85 | 0.85 | 1.09 | 1.00 | 0.91 | 0.85 |
time (sec) |
N/A | 0.012 | 0.007 | 0.173 | 0.357 | 0.325 | 0.057 | 0.001 | 0.044 | 2.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 21 | 21 | 22 | 23 | 21 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.84 | 0.84 | 0.88 | 0.92 | 0.84 | 0.84 |
time (sec) |
N/A | 0.010 | 0.003 | 0.079 | 0.362 | 0.312 | 0.054 | 0.001 | 0.040 | 1.886 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 39 | 38 | 38 | 46 | 51 | 40 | 36 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.81 | 0.81 | 0.98 | 1.09 | 0.85 | 0.77 |
time (sec) |
N/A | 0.039 | 0.012 | 0.122 | 0.356 | 0.315 | 0.058 | 0.001 | 0.197 | 2.081 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 18 | 17 | 17 | 17 | 23 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.72 | 0.68 | 0.68 | 0.68 | 0.92 | 0.68 | 0.68 |
time (sec) |
N/A | 0.022 | 0.004 | 0.015 | 0.269 | 0.317 | 0.065 | 0.001 | 0.227 | 1.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 29 | 30 | 25 | 25 | 26 | 34 | 25 | 25 |
N.S. | 1 | 1.00 | 0.88 | 0.91 | 0.76 | 0.76 | 0.79 | 1.03 | 0.76 | 0.76 |
time (sec) |
N/A | 0.034 | 0.010 | 0.020 | 0.271 | 0.320 | 0.134 | 0.001 | 0.088 | 2.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 61 | 37 | 26 | 25 | 25 | 29 | 36 | 29 | 25 |
N.S. | 1 | 1.65 | 1.00 | 0.70 | 0.68 | 0.68 | 0.78 | 0.97 | 0.78 | 0.68 |
time (sec) |
N/A | 0.022 | 0.005 | 0.019 | 0.314 | 0.334 | 0.091 | 0.001 | 0.061 | 2.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 69 | 26 | 43 | 51 | 60 | 73 | 25 | 49 |
N.S. | 1 | 1.00 | 2.23 | 0.84 | 1.39 | 1.65 | 1.94 | 2.35 | 0.81 | 1.58 |
time (sec) |
N/A | 0.006 | 0.013 | 0.020 | 0.351 | 0.335 | 0.320 | 0.003 | 0.083 | 2.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 26 | 25 | 25 | 26 | 35 | 15 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.63 | 0.61 | 0.61 | 0.63 | 0.85 | 0.37 | 0.61 |
time (sec) |
N/A | 0.014 | 0.005 | 0.082 | 0.269 | 0.354 | 0.086 | 0.001 | 0.246 | 2.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 16 | 20 | 22 | 29 | 17 | 22 | 22 | 29 |
N.S. | 1 | 1.00 | 0.64 | 0.80 | 0.88 | 1.16 | 0.68 | 0.88 | 0.88 | 1.16 |
time (sec) |
N/A | 0.007 | 0.007 | 0.052 | 0.263 | 0.328 | 0.045 | 0.000 | 0.168 | 1.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 33 | 32 | 39 | 31 | 38 | 32 | 36 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.89 | 1.08 | 0.86 | 1.06 | 0.89 | 1.00 |
time (sec) |
N/A | 0.011 | 0.010 | 0.046 | 0.264 | 0.319 | 0.041 | 0.000 | 0.029 | 2.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 37 | 28 | 30 | 45 | 31 | 35 | 30 | 39 |
N.S. | 1 | 1.00 | 0.90 | 0.68 | 0.73 | 1.10 | 0.76 | 0.85 | 0.73 | 0.95 |
time (sec) |
N/A | 0.024 | 0.014 | 0.015 | 0.260 | 0.312 | 0.072 | 0.001 | 0.064 | 2.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 28 | 29 | 45 | 26 | 33 | 29 | 38 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.07 | 1.67 | 0.96 | 1.22 | 1.07 | 1.41 |
time (sec) |
N/A | 0.022 | 0.012 | 0.056 | 0.258 | 0.311 | 0.069 | 0.001 | 0.191 | 1.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 47 | 32 | 29 | 45 | 32 | 40 | 31 | 37 |
N.S. | 1 | 1.00 | 1.21 | 0.82 | 0.74 | 1.15 | 0.82 | 1.03 | 0.79 | 0.95 |
time (sec) |
N/A | 0.023 | 0.011 | 0.071 | 0.266 | 0.323 | 0.077 | 0.001 | 0.047 | 2.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 40 | 35 | 40 | 65 | 37 | 47 | 40 | 44 |
N.S. | 1 | 1.00 | 0.87 | 0.76 | 0.87 | 1.41 | 0.80 | 1.02 | 0.87 | 0.96 |
time (sec) |
N/A | 0.015 | 0.010 | 0.017 | 0.261 | 0.318 | 0.080 | 0.000 | 0.183 | 2.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 24 | 23 | 23 | 22 | 27 | 29 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.79 | 0.79 | 0.76 | 0.93 | 1.00 | 0.79 |
time (sec) |
N/A | 0.018 | 0.006 | 0.016 | 0.354 | 0.321 | 0.063 | 0.001 | 0.049 | 1.890 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 22 | 21 | 21 | 22 | 29 | 27 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.78 | 0.78 | 0.81 | 1.07 | 1.00 | 0.78 |
time (sec) |
N/A | 0.015 | 0.005 | 0.066 | 0.349 | 0.341 | 0.093 | 0.001 | 0.049 | 1.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 32 | 26 | 25 | 25 | 29 | 38 | 17 | 25 |
N.S. | 1 | 1.00 | 1.33 | 1.08 | 1.04 | 1.04 | 1.21 | 1.58 | 0.71 | 1.04 |
time (sec) |
N/A | 0.006 | 0.008 | 0.018 | 0.352 | 0.336 | 0.076 | 0.001 | 0.059 | 1.954 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 33 | 32 | 44 | 39 | 49 | 49 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.78 | 1.07 | 0.95 | 1.20 | 1.20 | 0.98 |
time (sec) |
N/A | 0.051 | 0.016 | 0.020 | 0.354 | 0.323 | 0.081 | 0.001 | 0.252 | 1.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 40 | 37 | 36 | 57 | 37 | 47 | 38 | 42 |
N.S. | 1 | 1.00 | 0.87 | 0.80 | 0.78 | 1.24 | 0.80 | 1.02 | 0.83 | 0.91 |
time (sec) |
N/A | 0.130 | 0.014 | 0.062 | 0.347 | 0.329 | 0.110 | 0.001 | 0.190 | 2.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 37 | 34 | 36 | 59 | 36 | 39 | 42 | 45 |
N.S. | 1 | 1.00 | 0.79 | 0.72 | 0.77 | 1.26 | 0.77 | 0.83 | 0.89 | 0.96 |
time (sec) |
N/A | 0.026 | 0.018 | 0.063 | 0.342 | 0.322 | 0.085 | 0.001 | 0.043 | 2.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 73 | 54 | 53 | 53 | 70 | 67 | 47 | 53 |
N.S. | 1 | 1.00 | 1.09 | 0.81 | 0.79 | 0.79 | 1.04 | 1.00 | 0.70 | 0.79 |
time (sec) |
N/A | 0.024 | 0.037 | 0.007 | 0.348 | 0.320 | 0.098 | 0.001 | 0.094 | 2.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 67 | 46 | 54 | 58 | 306 | 82 | 73 | 71 |
N.S. | 1 | 1.00 | 1.40 | 0.96 | 1.12 | 1.21 | 6.38 | 1.71 | 1.52 | 1.48 |
time (sec) |
N/A | 0.029 | 0.012 | 0.076 | 0.351 | 0.315 | 0.322 | 0.001 | 0.167 | 4.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 46 | 41 | 43 | 66 | 46 | 51 | 44 | 53 |
N.S. | 1 | 1.00 | 0.79 | 0.71 | 0.74 | 1.14 | 0.79 | 0.88 | 0.76 | 0.91 |
time (sec) |
N/A | 0.036 | 0.018 | 0.109 | 0.357 | 0.311 | 0.095 | 0.001 | 0.203 | 2.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 47 | 36 | 35 | 35 | 44 | 52 | 35 | 35 |
N.S. | 1 | 1.00 | 0.92 | 0.71 | 0.69 | 0.69 | 0.86 | 1.02 | 0.69 | 0.69 |
time (sec) |
N/A | 0.172 | 0.016 | 0.083 | 0.376 | 0.338 | 0.209 | 0.001 | 0.242 | 2.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 34 | 33 | 33 | 32 | 42 | 33 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.80 | 0.80 | 0.78 | 1.02 | 0.80 | 0.80 |
time (sec) |
N/A | 0.184 | 0.006 | 0.073 | 0.266 | 0.326 | 0.092 | 0.001 | 0.056 | 2.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 52 | 51 | 49 | 45 | 73 | 59 | 64 | 54 |
N.S. | 1 | 1.00 | 0.93 | 0.91 | 0.88 | 0.80 | 1.30 | 1.05 | 1.14 | 0.96 |
time (sec) |
N/A | 0.020 | 0.008 | 0.064 | 0.348 | 0.361 | 0.066 | 0.001 | 0.440 | 2.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 50 | 51 | 49 | 43 | 71 | 54 | 68 | 53 |
N.S. | 1 | 1.00 | 0.89 | 0.91 | 0.88 | 0.77 | 1.27 | 0.96 | 1.21 | 0.95 |
time (sec) |
N/A | 0.018 | 0.004 | 0.046 | 0.348 | 0.325 | 0.061 | 0.001 | 0.118 | 2.672 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 8 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 1.00 | 0.83 | 0.83 |
time (sec) |
N/A | 0.002 | 0.002 | 0.046 | 0.263 | 0.307 | 0.048 | 0.000 | 0.030 | 1.826 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 34 | 23 | 18 | 19 | 29 | 18 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.55 | 1.05 | 0.82 | 0.86 | 1.32 | 0.82 | 0.77 |
time (sec) |
N/A | 0.005 | 0.003 | 0.046 | 0.268 | 0.314 | 0.106 | 0.001 | 0.249 | 1.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 60 | 60 | 57 | 53 | 83 | 69 | 88 | 62 |
N.S. | 1 | 1.00 | 0.95 | 0.95 | 0.90 | 0.84 | 1.32 | 1.10 | 1.40 | 0.98 |
time (sec) |
N/A | 0.022 | 0.009 | 0.053 | 0.373 | 0.334 | 0.083 | 0.001 | 0.249 | 2.916 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 68 | 60 | 57 | 62 | 80 | 72 | 86 | 67 |
N.S. | 1 | 1.00 | 1.05 | 0.92 | 0.88 | 0.95 | 1.23 | 1.11 | 1.32 | 1.03 |
time (sec) |
N/A | 0.022 | 0.010 | 0.052 | 0.348 | 0.319 | 0.094 | 0.002 | 0.252 | 2.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 43 | 31 | 33 | 29 | 47 | 29 | 31 |
N.S. | 1 | 1.00 | 1.00 | 1.30 | 0.94 | 1.00 | 0.88 | 1.42 | 0.88 | 0.94 |
time (sec) |
N/A | 0.012 | 0.004 | 0.049 | 0.258 | 0.361 | 0.134 | 0.001 | 0.073 | 2.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 74 | 66 | 66 | 68 | 90 | 81 | 99 | 76 |
N.S. | 1 | 1.00 | 1.01 | 0.90 | 0.90 | 0.93 | 1.23 | 1.11 | 1.36 | 1.04 |
time (sec) |
N/A | 0.027 | 0.008 | 0.054 | 0.346 | 0.324 | 0.110 | 0.002 | 0.104 | 3.094 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | C | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 45 | 0 | 0 | 0 | 92 | 0 | -1 | 30 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 2.00 | 0.00 | -0.02 | 0.65 |
time (sec) |
N/A | 0.007 | 0.089 | 0.023 | 0.000 | 0.330 | 1.253 | 0.000 | 0.000 | 3.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 38 | 33 | 32 | 26 | 37 | 40 | 18 | 34 |
N.S. | 1 | 1.00 | 1.41 | 1.22 | 1.19 | 0.96 | 1.37 | 1.48 | 0.67 | 1.26 |
time (sec) |
N/A | 0.005 | 0.003 | 0.052 | 0.373 | 0.341 | 0.074 | 0.001 | 0.070 | 2.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 30 | 29 | 26 | 24 | 39 | 13 | 26 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.93 | 1.73 | 1.60 | 2.60 | 0.87 | 1.73 |
time (sec) |
N/A | 0.004 | 0.003 | 0.126 | 0.274 | 0.331 | 0.077 | 0.001 | 0.048 | 1.978 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 41 | 25 | 20 | 19 | 30 | 20 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.71 | 1.04 | 0.83 | 0.79 | 1.25 | 0.83 | 0.79 |
time (sec) |
N/A | 0.006 | 0.004 | 0.056 | 0.271 | 0.318 | 0.159 | 0.001 | 0.275 | 1.940 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 46 | 41 | 40 | 36 | 44 | 48 | 31 | 43 |
N.S. | 1 | 1.00 | 1.31 | 1.17 | 1.14 | 1.03 | 1.26 | 1.37 | 0.89 | 1.23 |
time (sec) |
N/A | 0.009 | 0.005 | 0.062 | 0.351 | 0.323 | 0.099 | 0.001 | 0.223 | 2.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 50 | 43 | 37 | 41 | 34 | 44 | 22 | 39 |
N.S. | 1 | 1.00 | 1.92 | 1.65 | 1.42 | 1.58 | 1.31 | 1.69 | 0.85 | 1.50 |
time (sec) |
N/A | 0.007 | 0.005 | 0.052 | 0.265 | 0.317 | 0.110 | 0.001 | 0.200 | 2.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 48 | 41 | 40 | 45 | 48 | 50 | 31 | 48 |
N.S. | 1 | 1.00 | 1.30 | 1.11 | 1.08 | 1.22 | 1.30 | 1.35 | 0.84 | 1.30 |
time (sec) |
N/A | 0.008 | 0.005 | 0.053 | 0.352 | 0.321 | 0.111 | 0.001 | 0.080 | 2.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | C | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 44 | 0 | 0 | 0 | 95 | 0 | -1 | 30 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 2.11 | 0.00 | -0.02 | 0.67 |
time (sec) |
N/A | 0.006 | 0.143 | 0.026 | 0.000 | 0.325 | 0.471 | 0.000 | 0.000 | 3.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 13 | 29 | 17 | 13 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 1.93 | 1.13 | 0.87 | 1.87 |
time (sec) |
N/A | 0.004 | 0.003 | 0.055 | 0.365 | 0.304 | 0.071 | 0.001 | 0.185 | 2.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 79 | 85 | 98 | 199 | 19 | 166 | 33 | 28 |
N.S. | 1 | 1.00 | 0.72 | 0.78 | 0.90 | 1.83 | 0.17 | 1.52 | 0.30 | 0.26 |
time (sec) |
N/A | 0.039 | 0.018 | 0.045 | 0.360 | 0.340 | 0.069 | 0.002 | 0.100 | 2.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 204 | 101 | 180 | 0 | 39 | 236 | 174 | 49 |
N.S. |
1 | 1.00 | 1.01 | 0.50 | 0.90 | 0.00 | 0.19 | 1.17 | 0.87 | 0.24 |
time (sec) |
N/A | 0.242 | 0.094 | 0.053 | 0.353 | 0.000 | 0.070 | 0.003 | 0.588 | 2.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 204 | 97 | 160 | 0 | 41 | 235 | 182 | 51 |
N.S. |
1 | 1.00 | 1.01 | 0.48 | 0.80 | 0.00 | 0.20 | 1.17 | 0.91 | 0.25 |
time (sec) |
N/A | 0.181 | 0.031 | 0.049 | 0.358 | 0.000 | 0.067 | 0.009 | 0.591 | 2.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 204 | 101 | 160 | 0 | 41 | 235 | 202 | 51 |
N.S. |
1 | 1.00 | 1.01 | 0.50 | 0.80 | 0.00 | 0.20 | 1.17 | 1.00 | 0.25 |
time (sec) |
N/A | 0.221 | 0.039 | 0.049 | 0.359 | 0.000 | 0.076 | 0.010 | 0.797 | 2.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 204 | 97 | 180 | 0 | 39 | 224 | 202 | 51 |
N.S. |
1 | 1.00 | 1.01 | 0.48 | 0.90 | 0.00 | 0.19 | 1.11 | 1.00 | 0.25 |
time (sec) |
N/A | 0.218 | 0.023 | 0.052 | 0.349 | 0.000 | 0.072 | 0.011 | 0.410 | 2.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 8 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 1.00 | 0.83 | 0.83 |
time (sec) |
N/A | 0.002 | 0.002 | 0.049 | 0.261 | 0.318 | 0.054 | 0.001 | 0.184 | 2.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 49 | 23 | 18 | 19 | 29 | 18 | 17 |
N.S. | 1 | 1.00 | 1.00 | 2.23 | 1.05 | 0.82 | 0.86 | 1.32 | 0.82 | 0.77 |
time (sec) |
N/A | 0.006 | 0.003 | 0.141 | 0.307 | 0.323 | 0.134 | 0.003 | 0.268 | 1.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 172 | 109 | 192 | 0 | 48 | 241 | 210 | 61 |
N.S. |
1 | 1.00 | 0.82 | 0.52 | 0.92 | 0.00 | 0.23 | 1.15 | 1.00 | 0.29 |
time (sec) |
N/A | 0.226 | 0.091 | 0.052 | 0.344 | 0.000 | 0.091 | 0.010 | 0.394 | 2.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 174 | 105 | 173 | 0 | 51 | 245 | 210 | 62 |
N.S. |
1 | 1.00 | 0.82 | 0.50 | 0.82 | 0.00 | 0.24 | 1.16 | 1.00 | 0.29 |
time (sec) |
N/A | 0.224 | 0.088 | 0.056 | 0.348 | 0.000 | 0.103 | 0.011 | 0.782 | 2.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-1) | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 175 | 109 | 172 | 0 | 51 | 245 | 214 | 62 |
N.S. |
1 | 1.00 | 0.83 | 0.52 | 0.82 | 0.00 | 0.24 | 1.16 | 1.01 | 0.29 |
time (sec) |
N/A | 0.195 | 0.070 | 0.051 | 0.352 | 0.000 | 0.103 | 0.010 | 0.692 | 2.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | C | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 45 | 0 | 0 | 0 | 92 | 0 | -1 | 30 |
N.S. | 1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 2.00 | 0.00 | -0.02 | 0.65 |
time (sec) |
N/A | 0.007 | 0.164 | 0.026 | 0.000 | 0.314 | 8.466 | 0.000 | 0.000 | 11.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 21 | 28 | 27 | 9 | 8 | 42 | 9 | 9 |
N.S. | 1 | 1.00 | 0.60 | 0.80 | 0.77 | 0.26 | 0.23 | 1.20 | 0.26 | 0.26 |
time (sec) |
N/A | 0.285 | 0.005 | 0.056 | 0.368 | 0.307 | 0.062 | 0.002 | 0.034 | 1.737 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 51 | 52 | 54 | 71 | 63 | 53 | 45 | 71 |
N.S. | 1 | 1.00 | 0.85 | 0.87 | 0.90 | 1.18 | 1.05 | 0.88 | 0.75 | 1.18 |
time (sec) |
N/A | 0.015 | 0.018 | 0.180 | 0.349 | 0.429 | 0.081 | 0.001 | 0.079 | 4.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 30 | 28 | 38 | 52 | 36 | 32 | 27 | 53 |
N.S. | 1 | 1.00 | 0.70 | 0.65 | 0.88 | 1.21 | 0.84 | 0.74 | 0.63 | 1.23 |
time (sec) |
N/A | 0.008 | 0.009 | 0.051 | 0.344 | 0.306 | 0.069 | 0.001 | 0.182 | 2.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 88 | 103 | 0 | 448 | 323 | 95 | 159 | 377 |
N.S. |
1 | 1.00 | 0.98 | 1.14 | 0.00 | 4.98 | 3.59 | 1.06 | 1.77 | 4.19 |
time (sec) |
N/A | 0.047 | 0.054 | 0.151 | 0.000 | 0.436 | 0.565 | 0.003 | 0.287 | 9.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 35 | 33 | 50 | 31 | 41 | 41 | 44 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.87 | 1.32 | 0.82 | 1.08 | 1.08 | 1.16 |
time (sec) |
N/A | 0.017 | 0.010 | 0.086 | 0.353 | 0.306 | 0.069 | 0.001 | 0.202 | 2.749 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 49 | 53 | 42 | 58 | 53 | 54 | 60 | 49 |
N.S. | 1 | 1.00 | 0.86 | 0.93 | 0.74 | 1.02 | 0.93 | 0.95 | 1.05 | 0.86 |
time (sec) |
N/A | 0.016 | 0.015 | 0.058 | 0.418 | 0.410 | 0.078 | 0.000 | 0.082 | 2.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 29 | 31 | 40 | 32 | 34 | 29 | 44 |
N.S. | 1 | 1.00 | 0.92 | 0.81 | 0.86 | 1.11 | 0.89 | 0.94 | 0.81 | 1.22 |
time (sec) |
N/A | 0.014 | 0.011 | 0.049 | 0.353 | 0.306 | 0.070 | 0.001 | 0.180 | 1.960 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 78 | 41 | 40 | 40 | 46 | 51 | 52 | 40 |
N.S. | 1 | 1.00 | 1.59 | 0.84 | 0.82 | 0.82 | 0.94 | 1.04 | 1.06 | 0.82 |
time (sec) |
N/A | 0.024 | 0.010 | 0.052 | 0.390 | 0.455 | 0.071 | 0.001 | 0.086 | 2.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 20 | 13 | 14 | 14 | 13 | 14 | 0 | 14 | 27 |
N.S. | 1 | 1.54 | 1.00 | 1.08 | 1.08 | 1.00 | 1.08 | 0.00 | 1.08 | 2.08 |
time (sec) |
N/A | 0.028 | 0.017 | 0.072 | 0.254 | 0.311 | 0.825 | 0.000 | 0.322 | 2.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 38 | 35 | 34 | 34 | 42 | 45 | 34 | 32 |
N.S. | 1 | 1.00 | 0.93 | 0.85 | 0.83 | 0.83 | 1.02 | 1.10 | 0.83 | 0.78 |
time (sec) |
N/A | 0.025 | 0.008 | 0.016 | 0.344 | 0.317 | 0.061 | 0.001 | 0.202 | 2.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 25 | 24 | 24 | 24 | 29 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.75 | 0.75 | 0.75 | 0.91 | 0.69 | 0.69 |
time (sec) |
N/A | 0.014 | 0.004 | 0.016 | 0.336 | 0.472 | 0.060 | 0.001 | 0.086 | 1.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 18 | 17 | 17 | 15 | 25 | 16 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.72 | 0.68 | 0.68 | 0.60 | 1.00 | 0.64 | 0.68 |
time (sec) |
N/A | 0.010 | 0.003 | 0.016 | 0.258 | 0.311 | 0.053 | 0.000 | 0.584 | 1.866 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 24 | 27 | 32 | 46 | 29 | 27 | 22 | 44 |
N.S. | 1 | 1.00 | 0.67 | 0.75 | 0.89 | 1.28 | 0.81 | 0.75 | 0.61 | 1.22 |
time (sec) |
N/A | 0.014 | 0.009 | 0.057 | 0.267 | 0.306 | 0.057 | 0.001 | 0.039 | 1.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 24 | 30 | 72 | 72 | 70 | 26 | 29 | 72 |
N.S. | 1 | 1.00 | 0.53 | 0.67 | 1.60 | 1.60 | 1.56 | 0.58 | 0.64 | 1.60 |
time (sec) |
N/A | 0.008 | 0.004 | 0.057 | 0.262 | 0.353 | 0.080 | 0.001 | 0.099 | 2.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 41 | 46 | 48 | 67 | 42 | 41 | 43 | 67 |
N.S. | 1 | 1.00 | 0.75 | 0.84 | 0.87 | 1.22 | 0.76 | 0.75 | 0.78 | 1.22 |
time (sec) |
N/A | 0.025 | 0.008 | 0.051 | 0.269 | 0.444 | 0.069 | 0.001 | 0.048 | 3.256 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 38 | 35 | 38 | 59 | 41 | 45 | 31 | 49 |
N.S. | 1 | 1.00 | 1.06 | 0.97 | 1.06 | 1.64 | 1.14 | 1.25 | 0.86 | 1.36 |
time (sec) |
N/A | 0.011 | 0.017 | 0.133 | 0.255 | 0.308 | 0.069 | 0.001 | 0.039 | 2.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 31 | 28 | 31 | 48 | 29 | 39 | 34 | 34 |
N.S. | 1 | 1.00 | 0.89 | 0.80 | 0.89 | 1.37 | 0.83 | 1.11 | 0.97 | 0.97 |
time (sec) |
N/A | 0.010 | 0.011 | 0.076 | 0.254 | 0.309 | 0.066 | 0.001 | 0.220 | 1.972 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 46 | 42 | 50 | 85 | 51 | 51 | 45 | 68 |
N.S. | 1 | 1.00 | 0.75 | 0.69 | 0.82 | 1.39 | 0.84 | 0.84 | 0.74 | 1.11 |
time (sec) |
N/A | 0.008 | 0.016 | 0.073 | 0.257 | 0.341 | 0.081 | 0.001 | 0.123 | 2.196 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 36 | 44 | 44 | 62 | 42 | 40 | 39 | 62 |
N.S. | 1 | 1.00 | 0.71 | 0.86 | 0.86 | 1.22 | 0.82 | 0.78 | 0.76 | 1.22 |
time (sec) |
N/A | 0.010 | 0.012 | 0.125 | 0.361 | 0.355 | 0.079 | 0.001 | 0.203 | 2.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 49 | 60 | 105 | 58 | 52 | 55 | 83 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 1.11 | 1.94 | 1.07 | 0.96 | 1.02 | 1.54 |
time (sec) |
N/A | 0.017 | 0.015 | 0.052 | 0.261 | 0.314 | 0.112 | 0.001 | 0.051 | 2.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 42 | 53 | 32 | 40 | 53 | 49 | 58 | 33 | 52 |
N.S. | 1 | 1.17 | 1.47 | 0.89 | 1.11 | 1.47 | 1.36 | 1.61 | 0.92 | 1.44 |
time (sec) |
N/A | 0.009 | 0.022 | 0.084 | 0.385 | 0.362 | 0.056 | 0.001 | 0.252 | 1.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 40 | 32 | 41 | 59 | 39 | 36 | 40 | 61 |
N.S. | 1 | 1.00 | 0.69 | 0.55 | 0.71 | 1.02 | 0.67 | 0.62 | 0.69 | 1.05 |
time (sec) |
N/A | 0.010 | 0.013 | 0.050 | 0.343 | 0.308 | 0.073 | 0.001 | 0.074 | 3.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 37 | 36 | 45 | 42 | 46 | 36 | 45 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.84 | 1.05 | 0.98 | 1.07 | 0.84 | 1.05 |
time (sec) |
N/A | 0.013 | 0.022 | 0.186 | 0.356 | 0.370 | 0.071 | 0.001 | 0.191 | 2.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 62 | 37 | 47 | 68 | 58 | 63 | 34 | 55 |
N.S. | 1 | 1.00 | 1.44 | 0.86 | 1.09 | 1.58 | 1.35 | 1.47 | 0.79 | 1.28 |
time (sec) |
N/A | 0.016 | 0.025 | 0.110 | 0.348 | 0.355 | 0.076 | 0.003 | 0.215 | 2.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 25 | 28 | 30 | 38 | 24 | 43 | 32 | 38 |
N.S. | 1 | 1.00 | 0.68 | 0.76 | 0.81 | 1.03 | 0.65 | 1.16 | 0.86 | 1.03 |
time (sec) |
N/A | 0.009 | 0.008 | 0.049 | 0.343 | 0.309 | 0.079 | 0.003 | 0.037 | 1.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 39 | 26 | 29 | 28 | 38 | 26 | 34 | 28 | 38 |
N.S. | 1 | 1.22 | 0.81 | 0.91 | 0.88 | 1.19 | 0.81 | 1.06 | 0.88 | 1.19 |
time (sec) |
N/A | 0.017 | 0.010 | 0.045 | 0.274 | 0.429 | 0.068 | 0.001 | 0.189 | 1.938 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 19 | 20 | 14 | 11 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.46 | 1.54 | 1.08 | 0.85 | 1.77 |
time (sec) |
N/A | 0.002 | 0.003 | 0.046 | 0.259 | 0.380 | 0.132 | 0.001 | 0.199 | 1.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 46 | 52 | 57 | 81 | 51 | 63 | 52 | 70 |
N.S. | 1 | 1.00 | 0.85 | 0.96 | 1.06 | 1.50 | 0.94 | 1.17 | 0.96 | 1.30 |
time (sec) |
N/A | 0.021 | 0.019 | 0.056 | 0.266 | 0.317 | 0.232 | 0.005 | 0.106 | 2.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 134 | 124 | 147 | 338 | 66 | 215 | 76 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.79 | 0.94 | 2.15 | 0.42 | 1.37 | 0.48 | 0.00 |
time (sec) |
N/A | 0.064 | 0.067 | 0.053 | 0.350 | 0.328 | 0.212 | 0.007 | 0.114 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 75 | 53 | 60 | 78 | 78 | 65 | 53 | 93 |
N.S. | 1 | 1.00 | 1.17 | 0.83 | 0.94 | 1.22 | 1.22 | 1.02 | 0.83 | 1.45 |
time (sec) |
N/A | 0.019 | 0.032 | 0.056 | 0.347 | 0.312 | 0.230 | 0.005 | 0.222 | 6.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 33 | 34 | 34 | 45 | 27 | 39 | 29 | 45 |
N.S. | 1 | 1.00 | 0.85 | 0.87 | 0.87 | 1.15 | 0.69 | 1.00 | 0.74 | 1.15 |
time (sec) |
N/A | 0.016 | 0.009 | 0.051 | 0.343 | 0.308 | 0.082 | 0.015 | 0.050 | 3.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | C | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 319 | 319 | 293 | 354 | 335 | 1751 | 37 | 481 | 285 | 65 |
N.S. | 1 | 1.00 | 0.92 | 1.11 | 1.05 | 5.49 | 0.12 | 1.51 | 0.89 | 0.20 |
time (sec) |
N/A | 0.379 | 0.190 | 0.104 | 0.354 | 3.219 | 0.144 | 0.154 | 1.604 | 2.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 65 | 39 | 56 | 73 | 58 | 73 | 41 | 68 |
N.S. | 1 | 1.00 | 1.10 | 0.66 | 0.95 | 1.24 | 0.98 | 1.24 | 0.69 | 1.15 |
time (sec) |
N/A | 0.015 | 0.045 | 0.062 | 0.348 | 0.306 | 0.082 | 0.001 | 0.243 | 2.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 29 | 31 | 40 | 32 | 34 | 29 | 44 |
N.S. | 1 | 1.00 | 0.92 | 0.81 | 0.86 | 1.11 | 0.89 | 0.94 | 0.81 | 1.22 |
time (sec) |
N/A | 0.016 | 0.004 | 0.045 | 0.342 | 0.313 | 0.070 | 0.001 | 0.002 | 2.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 32 | 31 | 38 | 65 | 36 | 40 | 33 | 51 |
N.S. | 1 | 1.00 | 0.84 | 0.82 | 1.00 | 1.71 | 0.95 | 1.05 | 0.87 | 1.34 |
time (sec) |
N/A | 0.038 | 0.016 | 0.031 | 0.258 | 0.313 | 0.069 | 0.001 | 0.065 | 2.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 65 | 61 | 50 | 73 | 60 | 68 | 63 | 60 |
N.S. | 1 | 1.00 | 1.02 | 0.95 | 0.78 | 1.14 | 0.94 | 1.06 | 0.98 | 0.94 |
time (sec) |
N/A | 0.046 | 0.022 | 0.062 | 0.395 | 0.317 | 0.114 | 0.001 | 0.105 | 2.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 63 | 54 | 59 | 97 | 68 | 70 | 73 | 73 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.94 | 1.54 | 1.08 | 1.11 | 1.16 | 1.16 |
time (sec) |
N/A | 0.068 | 0.025 | 0.108 | 0.344 | 0.314 | 0.101 | 0.001 | 0.254 | 2.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 46 | 36 | 36 | 55 | 34 | 43 | 25 | 42 |
N.S. | 1 | 1.00 | 1.07 | 0.84 | 0.84 | 1.28 | 0.79 | 1.00 | 0.58 | 0.98 |
time (sec) |
N/A | 0.013 | 0.012 | 0.061 | 0.260 | 0.307 | 0.072 | 0.000 | 0.054 | 4.275 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 24 | 43 | 43 | 39 | 22 | 18 | 43 |
N.S. | 1 | 1.00 | 0.74 | 0.89 | 1.59 | 1.59 | 1.44 | 0.81 | 0.67 | 1.59 |
time (sec) |
N/A | 0.012 | 0.006 | 0.056 | 0.263 | 0.308 | 0.089 | 0.000 | 0.112 | 2.083 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 44 | 39 | 39 | 55 | 36 | 47 | 34 | 52 |
N.S. | 1 | 1.00 | 0.96 | 0.85 | 0.85 | 1.20 | 0.78 | 1.02 | 0.74 | 1.13 |
time (sec) |
N/A | 0.019 | 0.010 | 0.051 | 0.263 | 0.358 | 0.064 | 0.001 | 0.187 | 2.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 50 | 39 | 35 | 37 | 56 | 34 | 43 | 33 | 47 |
N.S. | 1 | 1.14 | 0.89 | 0.80 | 0.84 | 1.27 | 0.77 | 0.98 | 0.75 | 1.07 |
time (sec) |
N/A | 0.011 | 0.015 | 0.068 | 0.256 | 0.307 | 0.071 | 0.000 | 0.048 | 2.102 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 49 | 60 | 105 | 58 | 52 | 55 | 83 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 1.11 | 1.94 | 1.07 | 0.96 | 1.02 | 1.54 |
time (sec) |
N/A | 0.013 | 0.002 | 0.000 | 0.276 | 0.307 | 0.084 | 0.001 | 0.002 | 2.456 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 33 | 32 | 39 | 31 | 38 | 32 | 36 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.89 | 1.08 | 0.86 | 1.06 | 0.89 | 1.00 |
time (sec) |
N/A | 0.011 | 0.009 | 0.043 | 0.254 | 0.307 | 0.041 | 0.000 | 0.002 | 1.851 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 41 | 39 | 38 | 38 | 39 | 47 | 37 | 37 |
N.S. | 1 | 1.00 | 0.93 | 0.89 | 0.86 | 0.86 | 0.89 | 1.07 | 0.84 | 0.84 |
time (sec) |
N/A | 0.025 | 0.009 | 0.030 | 0.260 | 0.307 | 0.030 | 0.000 | 0.049 | 1.844 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 91 | 95 | 91 | 91 | 100 | 114 | 88 | 87 |
N.S. | 1 | 1.00 | 0.95 | 0.99 | 0.95 | 0.95 | 1.04 | 1.19 | 0.92 | 0.91 |
time (sec) |
N/A | 0.069 | 0.019 | 0.098 | 0.258 | 0.302 | 0.038 | 0.001 | 0.190 | 2.384 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 167 | 237 | 171 | 171 | 189 | 208 | 164 | 154 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 1.02 | 1.02 | 1.13 | 1.25 | 0.98 | 0.92 |
time (sec) |
N/A | 0.123 | 0.021 | 0.082 | 0.277 | 0.321 | 0.047 | 0.002 | 0.216 | 2.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 263 | 363 | 273 | 273 | 313 | 343 | 263 | 247 |
N.S. | 1 | 1.00 | 1.00 | 1.38 | 1.04 | 1.04 | 1.19 | 1.30 | 1.00 | 0.94 |
time (sec) |
N/A | 0.219 | 0.040 | 0.085 | 0.262 | 0.299 | 0.058 | 0.001 | 0.258 | 7.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 267 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.68 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.058 | 0.434 | 0.061 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 66 | 63 | 0 | 203 | 246 | 66 | 155 | 100 |
N.S. |
1 | 1.00 | 1.02 | 0.97 | 0.00 | 3.12 | 3.78 | 1.02 | 2.38 | 1.54 |
time (sec) |
N/A | 0.028 | 0.028 | 0.135 | 0.000 | 0.321 | 0.425 | 0.002 | 0.271 | 6.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 88 | 103 | 0 | 447 | 323 | 95 | 159 | 377 |
N.S. |
1 | 1.00 | 0.99 | 1.16 | 0.00 | 5.02 | 3.63 | 1.07 | 1.79 | 4.24 |
time (sec) |
N/A | 0.030 | 0.053 | 0.102 | 0.000 | 0.324 | 0.560 | 0.002 | 0.283 | 8.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 127 | 155 | 0 | 1104 | 622 | 212 | 360 | 681 |
N.S. |
1 | 1.00 | 0.98 | 1.19 | 0.00 | 8.49 | 4.78 | 1.63 | 2.77 | 5.24 |
time (sec) |
N/A | 0.047 | 0.090 | 0.109 | 0.000 | 0.332 | 1.033 | 0.003 | 0.505 | 31.650 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 168 | 206 | 0 | 1950 | 1027 | 387 | 640 | 1215 |
N.S. |
1 | 1.00 | 0.97 | 1.19 | 0.00 | 11.27 | 5.94 | 2.24 | 3.70 | 7.02 |
time (sec) |
N/A | 0.072 | 0.140 | 0.115 | 0.000 | 0.352 | 1.715 | 0.004 | 0.706 | 33.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 264 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.051 | 0.517 | 0.059 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 44 | 31 | 41 | 52 | 46 | 57 | 36 | 35 |
N.S. | 1 | 1.00 | 0.90 | 0.63 | 0.84 | 1.06 | 0.94 | 1.16 | 0.73 | 0.71 |
time (sec) |
N/A | 0.012 | 0.015 | 0.080 | 0.357 | 0.364 | 0.056 | 0.000 | 0.171 | 2.650 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 70 | 56 | 67 | 97 | 76 | 72 | 53 | 85 |
N.S. | 1 | 1.00 | 1.15 | 0.92 | 1.10 | 1.59 | 1.25 | 1.18 | 0.87 | 1.39 |
time (sec) |
N/A | 0.014 | 0.032 | 0.069 | 0.342 | 0.335 | 0.088 | 0.003 | 0.209 | 2.273 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 33 | 28 | 30 | 45 | 31 | 36 | 25 | 38 |
N.S. | 1 | 1.00 | 0.92 | 0.78 | 0.83 | 1.25 | 0.86 | 1.00 | 0.69 | 1.06 |
time (sec) |
N/A | 0.005 | 0.012 | 0.069 | 0.251 | 0.322 | 0.060 | 0.001 | 0.051 | 2.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 87 | 70 | 90 | 165 | 88 | 65 | 65 | 128 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 1.03 | 1.90 | 1.01 | 0.75 | 0.75 | 1.47 |
time (sec) |
N/A | 0.015 | 0.023 | 0.066 | 0.260 | 0.322 | 0.102 | 0.000 | 0.094 | 2.453 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 70 | 62 | 69 | 116 | 80 | 85 | 77 | 79 |
N.S. | 1 | 1.00 | 0.86 | 0.77 | 0.85 | 1.43 | 0.99 | 1.05 | 0.95 | 0.98 |
time (sec) |
N/A | 0.038 | 0.023 | 0.188 | 0.357 | 0.312 | 0.115 | 0.001 | 0.109 | 2.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 87 | 70 | 90 | 165 | 90 | 74 | 90 | 130 |
N.S. | 1 | 1.00 | 0.84 | 0.67 | 0.87 | 1.59 | 0.87 | 0.71 | 0.87 | 1.25 |
time (sec) |
N/A | 0.047 | 0.021 | 0.068 | 0.258 | 0.300 | 0.103 | 0.001 | 0.213 | 2.702 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 99 | 80 | 94 | 173 | 90 | 69 | 85 | 132 |
N.S. | 1 | 1.00 | 0.97 | 0.78 | 0.92 | 1.70 | 0.88 | 0.68 | 0.83 | 1.29 |
time (sec) |
N/A | 0.023 | 0.037 | 0.076 | 0.260 | 0.300 | 0.116 | 0.002 | 0.213 | 3.531 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 35 | 39 | 39 | 37 | 53 | 37 | 34 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.98 | 0.98 | 0.92 | 1.32 | 0.92 | 0.85 |
time (sec) |
N/A | 0.015 | 0.004 | 0.057 | 0.257 | 0.336 | 0.124 | 0.001 | 0.204 | 2.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 62 | 56 | 83 | 113 | 102 | 71 | 79 | 130 |
N.S. | 1 | 1.00 | 0.75 | 0.67 | 1.00 | 1.36 | 1.23 | 0.86 | 0.95 | 1.57 |
time (sec) |
N/A | 0.025 | 0.015 | 0.071 | 0.356 | 0.320 | 0.366 | 0.002 | 0.146 | 12.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 43 | 32 | 31 | 37 | 42 | 65 | 31 | 31 |
N.S. | 1 | 1.00 | 0.88 | 0.65 | 0.63 | 0.76 | 0.86 | 1.33 | 0.63 | 0.63 |
time (sec) |
N/A | 0.034 | 0.016 | 0.066 | 0.256 | 0.381 | 0.317 | 0.001 | 0.190 | 2.651 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 55 | 32 | 31 | 31 | 48 | 120 | 31 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.58 | 0.56 | 0.56 | 0.87 | 2.18 | 0.56 | 0.56 |
time (sec) |
N/A | 0.148 | 0.111 | 0.068 | 0.256 | 0.301 | 0.874 | 0.005 | 0.066 | 4.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 31 | 18 | 18 | 19 | 21 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 1.41 | 0.82 | 0.82 | 0.86 | 0.95 | 0.82 | 0.82 |
time (sec) |
N/A | 0.006 | 0.010 | 0.039 | 0.263 | 0.303 | 0.061 | 0.000 | 0.134 | 7.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 18 | 13 | 12 | 11 | 22 | 23 | 11 | 19 |
N.S. | 1 | 1.00 | 1.20 | 0.87 | 0.80 | 0.73 | 1.47 | 1.53 | 0.73 | 1.27 |
time (sec) |
N/A | 0.004 | 0.010 | 0.012 | 0.359 | 0.297 | 0.463 | 0.001 | 0.030 | 7.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 24 | 21 | 20 | 19 | 20 | 25 | 19 | 19 |
N.S. | 1 | 1.00 | 0.96 | 0.84 | 0.80 | 0.76 | 0.80 | 1.00 | 0.76 | 0.76 |
time (sec) |
N/A | 0.011 | 0.013 | 0.048 | 0.262 | 0.300 | 0.069 | 0.001 | 0.219 | 4.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 31 | 111 | 25 | 25 | 0 | 31 | 25 | 0 |
N.S. |
1 | 1.00 | 0.94 | 3.36 | 0.76 | 0.76 | 0.00 | 0.94 | 0.76 | 0.00 |
time (sec) |
N/A | 0.013 | 0.311 | 0.028 | 0.258 | 0.312 | 0.000 | 0.002 | 0.245 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 24 | 20 | 19 | 19 | 134 | 46 | 16 | 64 |
N.S. | 1 | 1.00 | 0.83 | 0.69 | 0.66 | 0.66 | 4.62 | 1.59 | 0.55 | 2.21 |
time (sec) |
N/A | 0.006 | 0.018 | 0.054 | 0.261 | 0.317 | 0.665 | 0.002 | 0.543 | 3.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 36 | 73 | 55 | 63 | 3966 | 71 | 43 | 1410 |
N.S. | 1 | 1.00 | 0.69 | 1.40 | 1.06 | 1.21 | 76.27 | 1.37 | 0.83 | 27.12 |
time (sec) |
N/A | 0.006 | 0.037 | 0.069 | 0.273 | 0.317 | 1.577 | 0.001 | 0.048 | 28.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 70 | 157 | 111 | 125 | 0 | 139 | 96 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.33 | 0.94 | 1.06 | 0.00 | 1.18 | 0.81 | 0.00 |
time (sec) |
N/A | 0.018 | 0.062 | 0.098 | 0.319 | 0.299 | 0.000 | 0.002 | 0.210 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | F(-1) | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 90 | 158 | 105 | 86 | 0 | 130 | 120 | 95 |
N.S. |
1 | 1.00 | 0.87 | 1.52 | 1.01 | 0.83 | 0.00 | 1.25 | 1.15 | 0.91 |
time (sec) |
N/A | 0.026 | 0.150 | 0.313 | 0.343 | 0.306 | 0.000 | 0.002 | 0.212 | 155.098 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 66 | 39 | 43 | 32 | 0 | 31 | 43 | 0 |
N.S. |
1 | 1.00 | 1.74 | 1.03 | 1.13 | 0.84 | 0.00 | 0.82 | 1.13 | 0.00 |
time (sec) |
N/A | 0.009 | 0.065 | 0.080 | 0.337 | 0.303 | 0.000 | 0.005 | 0.194 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 95 | 99 | 196 | 130 | 73 | 0 | 113 | 140 | 0 |
N.S. |
1 | 1.03 | 1.08 | 2.13 | 1.41 | 0.79 | 0.00 | 1.23 | 1.52 | 0.00 |
time (sec) |
N/A | 0.036 | 0.164 | 0.051 | 0.354 | 0.381 | 0.000 | 0.015 | 0.345 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 47 | 64 | 0 | 65 | 0 | 101 | 95 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.19 | 0.00 | 1.20 | 0.00 | 1.87 | 1.76 | 0.00 |
time (sec) |
N/A | 0.053 | 0.068 | 0.092 | 0.000 | 0.384 | 0.000 | 0.009 | 0.609 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 319 | 195 | 0 | 0 | 577 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.05 | 0.64 | 0.00 | 0.00 | 1.90 | 0.00 | 0.00 | -0.00 | 0.00 |
time (sec) |
N/A | 0.492 | 15.863 | 0.043 | 0.000 | 0.376 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | B | F(-2) | F | F | F(-2) |
verified |
N/A | NO | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 522 | 455 | 0 | 0 | 865 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.79 | 1.56 | 0.00 | 0.00 | 2.96 | 0.00 | 0.00 | -0.00 | 0.00 |
time (sec) |
N/A | 1.179 | 29.551 | 0.033 | 0.000 | 0.370 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 29 | 25 | 22 | 0 | 47 | 0 | 0 | 25 | 0 |
N.S. |
1 | 1.16 | 1.00 | 0.88 | 0.00 | 1.88 | 0.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.010 | 0.021 | 0.023 | 0.000 | 0.301 | 0.000 | 0.000 | 0.236 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 30 | 25 | 22 | 0 | 69 | 0 | 0 | 25 | 0 |
N.S. |
1 | 1.20 | 1.00 | 0.88 | 0.00 | 2.76 | 0.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.027 | 0.030 | 0.000 | 0.302 | 0.000 | 0.000 | 0.260 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 63 | 30 | 27 | 0 | 77 | 0 | 0 | 30 | 0 |
N.S. |
1 | 1.19 | 0.57 | 0.51 | 0.00 | 1.45 | 0.00 | 0.00 | 0.57 | 0.00 |
time (sec) |
N/A | 0.014 | 0.062 | 0.025 | 0.000 | 0.301 | 0.000 | 0.000 | 0.227 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 188 | 110 | 370 | 0 | 128 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.81 | 1.64 | 5.52 | 0.00 | 1.91 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.078 | 0.068 | 0.254 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 133 | 96 | 118 | 0 | 142 | 0 | 89 | -1 | 0 |
N.S. |
1 | 1.09 | 0.79 | 0.97 | 0.00 | 1.16 | 0.00 | 0.73 | -0.01 | 0.00 |
time (sec) |
N/A | 0.210 | 0.069 | 0.125 | 0.000 | 0.332 | 0.000 | 0.034 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 404 | 229 | 1247 | 0 | 280 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.69 | 1.53 | 8.31 | 0.00 | 1.87 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.207 | 0.330 | 2.970 | 0.000 | 0.337 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 39 | 36 | 51 | 64 | 0 | 48 | 27 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.84 | 1.19 | 1.49 | 0.00 | 1.12 | 0.63 | 0.00 |
time (sec) |
N/A | 0.004 | 0.148 | 0.079 | 0.252 | 0.313 | 0.000 | 0.003 | 0.050 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 37 | 45 | 0 | 62 | 0 | 41 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.07 | 0.00 | 1.48 | 0.00 | 0.98 | -0.02 | 0.00 |
time (sec) |
N/A | 0.027 | 0.018 | 0.053 | 0.000 | 0.310 | 0.000 | 0.003 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 58 | 144 | 0 | 138 | 0 | 97 | -1 | 0 |
N.S. |
1 | 1.00 | 0.42 | 1.04 | 0.00 | 0.99 | 0.00 | 0.70 | -0.01 | 0.00 |
time (sec) |
N/A | 0.076 | 0.043 | 0.058 | 0.000 | 0.317 | 0.000 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | C | F | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 188 | 110 | 670 | 0 | 128 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.51 | 1.47 | 8.93 | 0.00 | 1.71 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.076 | 0.068 | 0.245 | 0.000 | 0.316 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 23 | 20 | 0 | 22 | 0 | 0 | 24 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.69 | 0.00 | 0.76 | 0.00 | 0.00 | 0.83 | 0.00 |
time (sec) |
N/A | 0.021 | 0.020 | 0.015 | 0.000 | 0.306 | 0.000 | 0.000 | 0.052 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 32 | 29 | 0 | 44 | 0 | 0 | 37 | 0 |
N.S. |
1 | 1.00 | 0.35 | 0.32 | 0.00 | 0.48 | 0.00 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.055 | 0.038 | 0.021 | 0.000 | 0.309 | 0.000 | 0.000 | 0.080 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 32 | 15 | 16 | 33 | 0 | 21 | 16 | 0 |
N.S. |
1 | 1.00 | 1.68 | 0.79 | 0.84 | 1.74 | 0.00 | 1.11 | 0.84 | 0.00 |
time (sec) |
N/A | 0.010 | 0.061 | 0.135 | 0.357 | 0.318 | 0.000 | 0.002 | 0.197 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 23 | 5 | 8 | 29 | 0 | 4 | 4 | 0 |
N.S. |
1 | 1.00 | 2.88 | 0.62 | 1.00 | 3.62 | 0.00 | 0.50 | 0.50 | 0.00 |
time (sec) |
N/A | 0.004 | 0.051 | 0.108 | 0.338 | 0.401 | 0.000 | 0.001 | 0.184 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 33 | 12 | 11 | 40 | 0 | 14 | 11 | 0 |
N.S. |
1 | 1.00 | 2.75 | 1.00 | 0.92 | 3.33 | 0.00 | 1.17 | 0.92 | 0.00 |
time (sec) |
N/A | 0.003 | 0.059 | 0.115 | 0.352 | 0.303 | 0.000 | 0.002 | 0.222 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | F | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 42 | 29 | 0 | 23 | 0 | 70 | 79 | 0 |
N.S. |
1 | 1.00 | 1.35 | 0.94 | 0.00 | 0.74 | 0.00 | 2.26 | 2.55 | 0.00 |
time (sec) |
N/A | 0.005 | 0.081 | 0.090 | 0.000 | 0.326 | 0.000 | 0.004 | 0.516 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 40 | 22 | 0 | 54 | 0 | 72 | 61 | 0 |
N.S. |
1 | 1.00 | 1.29 | 0.71 | 0.00 | 1.74 | 0.00 | 2.32 | 1.97 | 0.00 |
time (sec) |
N/A | 0.007 | 0.081 | 0.089 | 0.000 | 0.322 | 0.000 | 0.003 | 0.485 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 100 | 112 | 48 | 61 | 54 | 78 | 63 |
N.S. | 1 | 1.00 | 1.00 | 4.17 | 4.67 | 2.00 | 2.54 | 2.25 | 3.25 | 2.62 |
time (sec) |
N/A | 0.012 | 0.032 | 0.125 | 0.353 | 0.319 | 2.314 | 0.001 | 0.789 | 5.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 100 | 101 | 32 | 24 | 27 | 83 | 20 |
N.S. | 1 | 1.00 | 1.00 | 4.00 | 4.04 | 1.28 | 0.96 | 1.08 | 3.32 | 0.80 |
time (sec) |
N/A | 0.012 | 0.022 | 0.132 | 0.354 | 0.314 | 2.293 | 0.001 | 0.760 | 3.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 57 | 70 | 0 | 72 | 0 | 91 | 107 | 0 |
N.S. |
1 | 1.00 | 1.33 | 1.63 | 0.00 | 1.67 | 0.00 | 2.12 | 2.49 | 0.00 |
time (sec) |
N/A | 0.013 | 0.097 | 0.148 | 0.000 | 0.307 | 0.000 | 0.006 | 0.114 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 62 | 49 | 54 | 74 | 0 | 136 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.87 | 1.19 | 0.00 | 2.19 | -0.02 | 0.00 |
time (sec) |
N/A | 0.023 | 0.141 | 0.194 | 0.358 | 0.362 | 0.000 | 0.010 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 90 | 69 | 0 | 151 | 0 | 201 | -1 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.84 | 0.00 | 1.84 | 0.00 | 2.45 | -0.01 | 0.00 |
time (sec) |
N/A | 0.075 | 0.223 | 0.359 | 0.000 | 0.321 | 0.000 | 0.011 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 102 | 53 | 0 | 307 | 0 | 292 | -1 | 0 |
N.S. |
1 | 1.00 | 1.62 | 0.84 | 0.00 | 4.87 | 0.00 | 4.63 | -0.02 | 0.00 |
time (sec) |
N/A | 0.035 | 0.125 | 0.486 | 0.000 | 0.337 | 0.000 | 0.025 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | B | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 103 | 128 | 0 | 303 | 0 | 259 | -1 | 0 |
N.S. |
1 | 1.00 | 1.84 | 2.29 | 0.00 | 5.41 | 0.00 | 4.62 | -0.02 | 0.00 |
time (sec) |
N/A | 0.027 | 0.116 | 0.446 | 0.000 | 0.330 | 0.000 | 0.013 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | B | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 123 | 158 | 0 | 311 | 0 | 545 | -1 | 0 |
N.S. |
1 | 1.00 | 1.76 | 2.26 | 0.00 | 4.44 | 0.00 | 7.79 | -0.01 | 0.00 |
time (sec) |
N/A | 0.041 | 0.168 | 0.632 | 0.000 | 0.321 | 0.000 | 0.017 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | B | F | F(-1) | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 89 | 124 | 192 | 0 | 0 | 0 | 1186 | -1 | 0 |
N.S. |
1 | 1.11 | 1.55 | 2.40 | 0.00 | 0.00 | 0.00 | 14.82 | -0.01 | 0.00 |
time (sec) |
N/A | 0.078 | 0.830 | 0.214 | 0.000 | 0.000 | 0.000 | 0.098 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 85 | 94 | 0 | 81 | 0 | 293 | -1 | 0 |
N.S. |
1 | 1.00 | 2.24 | 2.47 | 0.00 | 2.13 | 0.00 | 7.71 | -0.03 | 0.00 |
time (sec) |
N/A | 0.015 | 0.362 | 0.179 | 0.000 | 0.300 | 0.000 | 6.001 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 47 | 49 | 48 | 42 | 153 | 45 | 35 | 117 |
N.S. | 1 | 1.00 | 0.72 | 0.75 | 0.74 | 0.65 | 2.35 | 0.69 | 0.54 | 1.80 |
time (sec) |
N/A | 0.011 | 0.041 | 0.083 | 0.347 | 0.297 | 4.495 | 0.003 | 0.028 | 6.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 28 | 38 | 37 | 31 | 41 | 59 | 25 | 28 |
N.S. | 1 | 1.00 | 0.57 | 0.78 | 0.76 | 0.63 | 0.84 | 1.20 | 0.51 | 0.57 |
time (sec) |
N/A | 0.007 | 0.031 | 0.059 | 0.352 | 0.311 | 1.457 | 0.003 | 0.027 | 3.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 28 | 38 | 37 | 44 | 139 | 41 | 187 | 38 |
N.S. | 1 | 1.00 | 0.57 | 0.78 | 0.76 | 0.90 | 2.84 | 0.84 | 3.82 | 0.78 |
time (sec) |
N/A | 0.005 | 0.037 | 0.052 | 0.251 | 0.306 | 3.578 | 0.004 | 0.048 | 6.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 328 | 10 | 62 | 53 | 13 | 154 | 42 |
N.S. | 1 | 1.00 | 1.00 | 27.33 | 0.83 | 5.17 | 4.42 | 1.08 | 12.83 | 3.50 |
time (sec) |
N/A | 0.029 | 0.013 | 0.034 | 0.256 | 0.305 | 1.207 | 0.001 | 0.270 | 3.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 22 | 11 | 10 | 37 | 29 | 31 | 24 | 10 |
N.S. | 1 | 1.00 | 1.83 | 0.92 | 0.83 | 3.08 | 2.42 | 2.58 | 2.00 | 0.83 |
time (sec) |
N/A | 0.008 | 0.102 | 0.055 | 0.333 | 0.301 | 5.504 | 0.003 | 0.195 | 7.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 44 | 23 | 0 | 67 | 0 | 83 | 77 | 0 |
N.S. |
1 | 1.00 | 1.63 | 0.85 | 0.00 | 2.48 | 0.00 | 3.07 | 2.85 | 0.00 |
time (sec) |
N/A | 0.007 | 0.074 | 0.104 | 0.000 | 0.307 | 0.000 | 0.003 | 0.173 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 55 | 46 | 0 | 83 | 0 | 122 | 117 | 0 |
N.S. |
1 | 1.00 | 1.15 | 0.96 | 0.00 | 1.73 | 0.00 | 2.54 | 2.44 | 0.00 |
time (sec) |
N/A | 0.008 | 0.090 | 0.112 | 0.000 | 0.301 | 0.000 | 0.005 | 0.093 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 50 | 100 | 107 | 77 | 0 | 89 | -1 | 0 |
N.S. |
1 | 1.00 | 1.22 | 2.44 | 2.61 | 1.88 | 0.00 | 2.17 | -0.02 | 0.00 |
time (sec) |
N/A | 0.014 | 0.121 | 0.163 | 0.354 | 0.295 | 0.000 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 70 | 0 | 50 | 0 | 158 | 115 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.49 | 0.00 | 1.06 | 0.00 | 3.36 | 2.45 | 0.00 |
time (sec) |
N/A | 0.013 | 0.143 | 0.127 | 0.000 | 0.301 | 0.000 | 0.007 | 0.133 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 108 | 82 | 0 | 160 | 0 | 185 | 159 | 0 |
N.S. |
1 | 1.00 | 1.23 | 0.93 | 0.00 | 1.82 | 0.00 | 2.10 | 1.81 | 0.00 |
time (sec) |
N/A | 0.147 | 0.208 | 0.442 | 0.000 | 0.330 | 0.000 | 0.020 | 0.382 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 104 | 656 | 0 | 170 | 0 | 237 | 216 | 0 |
N.S. |
1 | 1.00 | 0.76 | 4.82 | 0.00 | 1.25 | 0.00 | 1.74 | 1.59 | 0.00 |
time (sec) |
N/A | 0.946 | 0.332 | 0.030 | 0.000 | 0.312 | 0.000 | 0.016 | 0.615 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 66 | 64 | 63 | 51 | 0 | 54 | 56 | 0 |
N.S. |
1 | 1.00 | 1.03 | 1.00 | 0.98 | 0.80 | 0.00 | 0.84 | 0.88 | 0.00 |
time (sec) |
N/A | 0.013 | 0.085 | 0.069 | 0.426 | 0.318 | 0.000 | 0.005 | 0.100 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 74 | 83 | 81 | 60 | 0 | 67 | 75 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.93 | 0.91 | 0.67 | 0.00 | 0.75 | 0.84 | 0.00 |
time (sec) |
N/A | 0.019 | 0.089 | 0.069 | 0.367 | 0.309 | 0.000 | 0.006 | 0.325 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 82 | 104 | 101 | 68 | 0 | 78 | 96 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.92 | 0.89 | 0.60 | 0.00 | 0.69 | 0.85 | 0.00 |
time (sec) |
N/A | 0.026 | 0.099 | 0.069 | 0.346 | 0.309 | 0.000 | 0.006 | 0.137 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 78 | 42 | 54 | 62 | 0 | 88 | -1 | 0 |
N.S. |
1 | 1.00 | 1.59 | 0.86 | 1.10 | 1.27 | 0.00 | 1.80 | -0.02 | 0.00 |
time (sec) |
N/A | 0.018 | 0.115 | 0.153 | 0.345 | 0.322 | 0.000 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 78 | 74 | 66 | 64 | 0 | 192 | -1 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.94 | 0.84 | 0.81 | 0.00 | 2.43 | -0.01 | 0.00 |
time (sec) |
N/A | 0.027 | 0.201 | 0.111 | 0.350 | 0.310 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 20 | 10 | 11 | 18 | 0 | 19 | 12 | 0 |
N.S. |
1 | 1.00 | 1.67 | 0.83 | 0.92 | 1.50 | 0.00 | 1.58 | 1.00 | 0.00 |
time (sec) |
N/A | 0.006 | 0.045 | 0.128 | 0.430 | 0.303 | 0.000 | 0.003 | 0.240 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 47 | 48 | 39 | 0 | 51 | -1 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.89 | 0.91 | 0.74 | 0.00 | 0.96 | -0.02 | 0.00 |
time (sec) |
N/A | 0.015 | 0.065 | 0.119 | 0.355 | 0.322 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 22 | 34 | 0 | 27 | 13 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 1.16 | 1.79 | 0.00 | 1.42 | 0.68 | 0.00 |
time (sec) |
N/A | 0.001 | 0.079 | 0.105 | 0.257 | 0.324 | 0.000 | 0.007 | 0.032 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 27 | 22 | 28 | 0 | 29 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.59 | 1.29 | 1.65 | 0.00 | 1.71 | 0.88 | 0.00 |
time (sec) |
N/A | 0.002 | 0.077 | 0.107 | 0.254 | 0.300 | 0.000 | 0.003 | 0.024 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 47 | 61 | 47 | 64 | 0 | 58 | -1 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.09 | 0.84 | 1.14 | 0.00 | 1.04 | -0.02 | 0.00 |
time (sec) |
N/A | 0.015 | 0.099 | 0.120 | 0.354 | 0.310 | 0.000 | 0.004 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 52 | 49 | 56 | 44 | 0 | 57 | 61 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.75 | 0.86 | 0.68 | 0.00 | 0.88 | 0.94 | 0.00 |
time (sec) |
N/A | 0.015 | 0.060 | 0.118 | 0.411 | 0.321 | 0.000 | 0.005 | 0.131 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 52 | 43 | 56 | 44 | 0 | 59 | 43 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.78 | 1.02 | 0.80 | 0.00 | 1.07 | 0.78 | 0.00 |
time (sec) |
N/A | 0.009 | 0.099 | 0.111 | 0.345 | 0.313 | 0.000 | 0.005 | 0.213 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 62 | 58 | 77 | 54 | 0 | 73 | 56 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.78 | 1.04 | 0.73 | 0.00 | 0.99 | 0.76 | 0.00 |
time (sec) |
N/A | 0.012 | 0.166 | 0.121 | 0.346 | 0.309 | 0.000 | 0.005 | 0.075 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 31 | 37 | 52 | 0 | 77 | 31 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.82 | 0.97 | 1.37 | 0.00 | 2.03 | 0.82 | 0.00 |
time (sec) |
N/A | 0.008 | 0.063 | 0.124 | 0.345 | 0.308 | 0.000 | 0.004 | 0.028 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 42 | 44 | 50 | 63 | 0 | 98 | -1 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.77 | 0.88 | 1.11 | 0.00 | 1.72 | -0.02 | 0.00 |
time (sec) |
N/A | 0.014 | 0.075 | 0.122 | 0.343 | 0.304 | 0.000 | 0.006 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 45 | 56 | 58 | 94 | 0 | 109 | -1 | 0 |
N.S. |
1 | 1.00 | 0.73 | 0.90 | 0.94 | 1.52 | 0.00 | 1.76 | -0.02 | 0.00 |
time (sec) |
N/A | 0.015 | 0.121 | 0.122 | 0.413 | 0.301 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 69 | 71 | 107 | 0 | 147 | -1 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.87 | 0.90 | 1.35 | 0.00 | 1.86 | -0.01 | 0.00 |
time (sec) |
N/A | 0.022 | 0.129 | 0.125 | 0.346 | 0.303 | 0.000 | 0.006 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 18 | 22 | 25 | 30 | 0 | 41 | -1 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.00 | 1.14 | 1.36 | 0.00 | 1.86 | -0.05 | 0.00 |
time (sec) |
N/A | 0.006 | 0.071 | 0.129 | 0.342 | 0.295 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 85 | 69 | 0 | 110 | 0 | 179 | -1 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.80 | 0.00 | 1.28 | 0.00 | 2.08 | -0.01 | 0.00 |
time (sec) |
N/A | 0.175 | 0.167 | 0.241 | 0.000 | 0.313 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 71 | 91 | 61 | 92 | 0 | 148 | -1 | 0 |
N.S. |
1 | 1.00 | 1.15 | 1.47 | 0.98 | 1.48 | 0.00 | 2.39 | -0.02 | 0.00 |
time (sec) |
N/A | 0.030 | 0.175 | 0.194 | 0.347 | 0.304 | 0.000 | 0.010 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 84 | 123 | 0 | 174 | 0 | 273 | -1 | 0 |
N.S. |
1 | 1.00 | 1.11 | 1.62 | 0.00 | 2.29 | 0.00 | 3.59 | -0.01 | 0.00 |
time (sec) |
N/A | 0.041 | 0.418 | 0.561 | 0.000 | 0.310 | 0.000 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 26 | 31 | 28 | 22 | 0 | 33 | 19 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.86 | 0.78 | 0.61 | 0.00 | 0.92 | 0.53 | 0.00 |
time (sec) |
N/A | 0.073 | 0.068 | 0.110 | 0.342 | 0.299 | 0.000 | 0.004 | 0.269 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 95 | 69 | 0 | 147 | 0 | 186 | -1 | 0 |
N.S. |
1 | 1.00 | 1.09 | 0.79 | 0.00 | 1.69 | 0.00 | 2.14 | -0.01 | 0.00 |
time (sec) |
N/A | 0.132 | 0.342 | 1.540 | 0.000 | 0.319 | 0.000 | 0.007 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 39 | 53 | 76 | 98 | 0 | 63 | 69 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.91 | 1.31 | 1.69 | 0.00 | 1.09 | 1.19 | 0.00 |
time (sec) |
N/A | 0.006 | 0.213 | 0.131 | 0.259 | 0.297 | 0.000 | 0.006 | 0.229 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 40 | 59 | 73 | 0 | 53 | 29 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.85 | 1.26 | 1.55 | 0.00 | 1.13 | 0.62 | 0.00 |
time (sec) |
N/A | 0.005 | 0.140 | 0.073 | 0.271 | 0.295 | 0.000 | 0.008 | 0.055 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 40 | 59 | 51 | 0 | 55 | 29 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.85 | 1.26 | 1.09 | 0.00 | 1.17 | 0.62 | 0.00 |
time (sec) |
N/A | 0.005 | 0.146 | 0.122 | 0.288 | 0.301 | 0.000 | 0.009 | 0.204 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 43 | 40 | 0 | 39 | 0 | 66 | -1 | 0 |
N.S. |
1 | 1.00 | 1.48 | 1.38 | 0.00 | 1.34 | 0.00 | 2.28 | -0.03 | 0.00 |
time (sec) |
N/A | 0.024 | 0.223 | 0.053 | 0.000 | 0.299 | 0.000 | 0.003 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 59 | 54 | 52 | 0 | 63 | 0 | 80 | -1 | 0 |
N.S. |
1 | 1.31 | 1.20 | 1.16 | 0.00 | 1.40 | 0.00 | 1.78 | -0.02 | 0.00 |
time (sec) |
N/A | 0.020 | 0.075 | 0.063 | 0.000 | 0.302 | 0.000 | 0.003 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 64 | 59 | 0 | 54 | 0 | 76 | 71 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.75 | 0.00 | 0.68 | 0.00 | 0.96 | 0.90 | 0.00 |
time (sec) |
N/A | 0.084 | 0.126 | 0.039 | 0.000 | 0.299 | 0.000 | 0.005 | 0.071 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 72 | 80 | 0 | 99 | 0 | 126 | -1 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.00 | 0.00 | 1.24 | 0.00 | 1.58 | -0.01 | 0.00 |
time (sec) |
N/A | 0.216 | 0.147 | 0.235 | 0.000 | 0.320 | 0.000 | 0.020 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 159 | 140 | 0 | 155 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.01 | 0.89 | 0.00 | 0.98 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.340 | 5.222 | 0.012 | 0.000 | 0.313 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 31 | 30 | 38 | 28 | 131 | 44 | 29 | 120 |
N.S. | 1 | 1.00 | 0.76 | 0.73 | 0.93 | 0.68 | 3.20 | 1.07 | 0.71 | 2.93 |
time (sec) |
N/A | 0.007 | 0.028 | 0.106 | 0.342 | 0.299 | 1.952 | 0.001 | 0.044 | 3.928 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 17 | 10 | 12 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.31 | 0.77 | 0.92 | 0.85 | 0.85 |
time (sec) |
N/A | 0.002 | 0.017 | 0.022 | 0.270 | 0.287 | 0.269 | 0.002 | 0.460 | 1.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 85 | 109 | 76 | 80 | 541 | 100 | 90 | 81 |
N.S. | 1 | 1.00 | 1.20 | 1.54 | 1.07 | 1.13 | 7.62 | 1.41 | 1.27 | 1.14 |
time (sec) |
N/A | 0.019 | 0.074 | 0.420 | 0.344 | 0.319 | 1.269 | 0.003 | 0.211 | 6.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 23 | 29 | 28 | 29 | 178 | 242 | 23 | 95 |
N.S. | 1 | 1.00 | 0.58 | 0.72 | 0.70 | 0.72 | 4.45 | 6.05 | 0.58 | 2.38 |
time (sec) |
N/A | 0.005 | 0.016 | 0.071 | 0.255 | 0.296 | 0.844 | 0.002 | 0.201 | 2.928 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 53 | 52 | 52 | 51 | 77 | 36 | 25 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.08 | 1.08 | 1.06 | 1.60 | 0.75 | 0.52 |
time (sec) |
N/A | 0.011 | 0.029 | 0.073 | 0.341 | 0.309 | 1.137 | 0.010 | 0.867 | 2.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 36 | 46 | 45 | 25 | 3303 | 108 | 45 | 1506 |
N.S. | 1 | 1.00 | 0.52 | 0.67 | 0.65 | 0.36 | 47.87 | 1.57 | 0.65 | 21.83 |
time (sec) |
N/A | 0.013 | 0.017 | 0.062 | 0.262 | 0.310 | 1.122 | 0.002 | 0.300 | 13.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 120 | 125 | 157 | 202 | 44 | 225 | 77 | 23 |
N.S. | 1 | 1.00 | 0.62 | 0.65 | 0.81 | 1.05 | 0.23 | 1.17 | 0.40 | 0.12 |
time (sec) |
N/A | 0.070 | 0.211 | 0.079 | 0.345 | 0.317 | 3.181 | 0.009 | 1.278 | 4.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 10 | 9 | 9 | 26 | 20 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 2.00 | 1.54 | 0.69 | 0.69 |
time (sec) |
N/A | 0.002 | 0.009 | 0.069 | 0.254 | 0.297 | 0.145 | 0.000 | 0.291 | 1.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 10 | 9 | 9 | 12 | 18 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 0.92 | 1.38 | 0.69 | 0.69 |
time (sec) |
N/A | 0.002 | 0.012 | 0.063 | 0.257 | 0.288 | 0.219 | 0.001 | 0.319 | 1.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 82 | 74 | 64 | 66 | 42 | 124 | 76 | 23 |
N.S. | 1 | 1.00 | 1.39 | 1.25 | 1.08 | 1.12 | 0.71 | 2.10 | 1.29 | 0.39 |
time (sec) |
N/A | 0.025 | 0.050 | 6.229 | 0.350 | 0.300 | 0.481 | 0.001 | 0.455 | 2.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 83 | 76 | 66 | 79 | 34 | 94 | 92 | 19 |
N.S. | 1 | 1.00 | 1.19 | 1.09 | 0.94 | 1.13 | 0.49 | 1.34 | 1.31 | 0.27 |
time (sec) |
N/A | 0.026 | 0.076 | 6.227 | 0.342 | 0.300 | 0.791 | 0.002 | 0.367 | 2.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | B | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 68 | 20 | 83 | 146 | 41 | 104 | 18 | 29 |
N.S. | 1 | 1.00 | 1.00 | 0.29 | 1.22 | 2.15 | 0.60 | 1.53 | 0.26 | 0.43 |
time (sec) |
N/A | 0.013 | 0.129 | 2.437 | 0.347 | 2.261 | 0.556 | 0.010 | 0.423 | 2.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 82 | 19 | 130 | 105 | 41 | 144 | -1 | 22 |
N.S. | 1 | 1.00 | 0.88 | 0.20 | 1.40 | 1.13 | 0.44 | 1.55 | -0.01 | 0.24 |
time (sec) |
N/A | 0.018 | 0.215 | 2.111 | 0.341 | 0.307 | 0.967 | 0.013 | 0.000 | 2.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 82 | 20 | 129 | 105 | 39 | 143 | -1 | 23 |
N.S. | 1 | 1.00 | 0.88 | 0.22 | 1.39 | 1.13 | 0.42 | 1.54 | -0.01 | 0.25 |
time (sec) |
N/A | 0.018 | 0.210 | 2.077 | 0.358 | 0.336 | 1.028 | 0.009 | 0.000 | 2.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 129 | 137 | 15 | 0 | 99 | 0 | 97 | 29 | 0 |
N.S. |
1 | 1.39 | 1.47 | 0.16 | 0.00 | 1.06 | 0.00 | 1.04 | 0.31 | 0.00 |
time (sec) |
N/A | 0.046 | 0.443 | 2.046 | 0.000 | 0.428 | 0.000 | 0.004 | 0.370 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 114 | 69 | 108 | 0 | 87 | 0 | 103 | 27 | 0 |
N.S. |
1 | 0.90 | 0.55 | 0.86 | 0.00 | 0.69 | 0.00 | 0.82 | 0.21 | 0.00 |
time (sec) |
N/A | 0.066 | 0.124 | 0.063 | 0.000 | 43.777 | 0.000 | 0.011 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 41 | 60 | 0 | 49 | 0 | 92 | 35 | 0 |
N.S. |
1 | 1.00 | 1.21 | 1.76 | 0.00 | 1.44 | 0.00 | 2.71 | 1.03 | 0.00 |
time (sec) |
N/A | 0.019 | 0.159 | 0.146 | 0.000 | 0.306 | 0.000 | 0.015 | 0.515 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 47 | 0 | 47 | 0 | 62 | 43 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.81 | 0.00 | 0.81 | 0.00 | 1.07 | 0.74 | 0.00 |
time (sec) |
N/A | 0.023 | 0.070 | 0.226 | 0.000 | 0.301 | 0.000 | 0.009 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 57 | 60 | 52 | 81 | 0 | 124 | -1 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.85 | 0.73 | 1.14 | 0.00 | 1.75 | -0.01 | 0.00 |
time (sec) |
N/A | 0.031 | 0.085 | 0.123 | 0.342 | 0.306 | 0.000 | 0.010 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | B | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 52 | 46 | 52 | 59 | 0 | 79 | 49 | 0 |
N.S. |
1 | 1.00 | 2.48 | 2.19 | 2.48 | 2.81 | 0.00 | 3.76 | 2.33 | 0.00 |
time (sec) |
N/A | 0.018 | 0.082 | 0.104 | 0.261 | 0.311 | 0.000 | 0.009 | 0.815 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 75 | 14 | 13 | 13 | 36 | 30 | 21 | 13 |
N.S. | 1 | 1.00 | 4.41 | 0.82 | 0.76 | 0.76 | 2.12 | 1.76 | 1.24 | 0.76 |
time (sec) |
N/A | 0.006 | 10.048 | 0.087 | 0.268 | 0.300 | 0.236 | 0.002 | 0.279 | 2.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 40 | 116 | 34 | 35 | 221 | 73 | 34 | 0 |
N.S. |
1 | 1.00 | 0.87 | 2.52 | 0.74 | 0.76 | 4.80 | 1.59 | 0.74 | 0.00 |
time (sec) |
N/A | 0.122 | 0.035 | 0.095 | 0.261 | 0.305 | 5.894 | 0.005 | 0.373 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 110 | 904 | 0 | 232 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.41 | 11.59 | 0.00 | 2.97 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.010 | 0.197 | 1.701 | 0.000 | 1.576 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 76 | 150 | 0 | 388 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.54 | 1.06 | 0.00 | 2.75 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.039 | 0.162 | 0.746 | 0.000 | 2.482 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 90 | 29 | 94 | 86 | 71 | 0 | -1 | 43 |
N.S. | 1 | 1.00 | 1.43 | 0.46 | 1.49 | 1.37 | 1.13 | 0.00 | -0.02 | 0.68 |
time (sec) |
N/A | 0.007 | 0.141 | 1.012 | 0.343 | 0.302 | 1.080 | 0.000 | 0.000 | 3.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 74 | 227 | 0 | 242 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 3.07 | 0.00 | 3.27 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.018 | 0.221 | 1.687 | 0.000 | 3.645 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 59 | 26 | 23 | 73 | 40 | 0 | 0 | 23 | 0 |
N.S. |
1 | 1.23 | 0.54 | 0.48 | 1.52 | 0.83 | 0.00 | 0.00 | 0.48 | 0.00 |
time (sec) |
N/A | 0.008 | 0.745 | 0.097 | 0.287 | 0.300 | 0.000 | 0.000 | 0.262 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 180 | 2515 | 0 | 458 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 2.00 | 27.94 | 0.00 | 5.09 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.026 | 0.342 | 8.535 | 0.000 | 5.499 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 112 | 0 | 18 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.87 | 0.00 | 0.78 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.020 | 0.004 | 0.129 | 0.000 | 0.516 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 112 | 0 | 42 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.87 | 0.00 | 1.83 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.021 | 0.003 | 0.147 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 23 | 35 | 18 | 57 | 49 | 14 | 59 | 17 | 13 |
N.S. | 1 | 1.44 | 2.19 | 1.12 | 3.56 | 3.06 | 0.88 | 3.69 | 1.06 | 0.81 |
time (sec) |
N/A | 0.015 | 0.177 | 0.109 | 0.339 | 0.302 | 4.350 | 0.005 | 0.152 | 6.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 23 | 37 | 18 | 57 | 47 | 14 | 59 | 17 | 13 |
N.S. | 1 | 1.44 | 2.31 | 1.12 | 3.56 | 2.94 | 0.88 | 3.69 | 1.06 | 0.81 |
time (sec) |
N/A | 0.014 | 0.057 | 0.106 | 0.336 | 0.307 | 2.578 | 0.005 | 0.234 | 4.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 184 | 0 | 45 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 7.08 | 0.00 | 1.73 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.026 | 0.149 | 0.266 | 0.000 | 0.591 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 188 | 0 | 13 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 12.53 | 0.00 | 0.87 | 0.00 | 0.00 | -0.07 | 0.00 |
time (sec) |
N/A | 0.023 | 0.118 | 0.219 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 22 | 14 | 0 | 0 | 14 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.38 | 0.88 | 0.00 | 0.00 | 0.88 | 0.00 |
time (sec) |
N/A | 0.011 | 0.249 | 0.043 | 0.294 | 0.300 | 0.000 | 0.000 | 0.058 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 65 | 247419 | 0 | 252 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 3343.50 | 0.00 | 3.41 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.120 | 0.605 | 0.174 | 0.000 | 0.459 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 96 | 0 | 0 | 62 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 4.36 | 0.00 | 0.00 | 2.82 | 0.00 | 0.00 | -0.05 | 0.00 |
time (sec) |
N/A | 0.039 | 0.207 | 0.025 | 0.000 | 0.664 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F(-2) | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 26 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.08 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.038 | 0.105 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 10 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.002 | 0.013 | 0.248 | 0.312 | 0.028 | 0.000 | 0.185 | 1.604 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 15 | 11 | 9 | 10 | 8 | 11 | 9 | 9 |
N.S. | 1 | 1.00 | 1.36 | 1.00 | 0.82 | 0.91 | 0.73 | 1.00 | 0.82 | 0.82 |
time (sec) |
N/A | 0.004 | 0.002 | 0.064 | 0.296 | 0.310 | 0.028 | 0.000 | 0.035 | 1.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 18 | 16 | 19 | 24 | 21 | 16 | 16 |
N.S. | 1 | 1.00 | 0.92 | 0.75 | 0.67 | 0.79 | 1.00 | 0.88 | 0.67 | 0.67 |
time (sec) |
N/A | 0.006 | 0.002 | 0.069 | 0.253 | 0.308 | 0.028 | 0.000 | 0.032 | 1.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 24 | 24 | 25 | 36 | 31 | 22 | 32 |
N.S. | 1 | 1.00 | 0.88 | 0.71 | 0.71 | 0.74 | 1.06 | 0.91 | 0.65 | 0.94 |
time (sec) |
N/A | 0.011 | 0.002 | 0.078 | 0.252 | 0.314 | 0.028 | 0.000 | 0.038 | 1.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 38 | 30 | 30 | 31 | 48 | 39 | 28 | 44 |
N.S. | 1 | 1.00 | 0.86 | 0.68 | 0.68 | 0.70 | 1.09 | 0.89 | 0.64 | 1.00 |
time (sec) |
N/A | 0.014 | 0.002 | 0.089 | 0.258 | 0.319 | 0.029 | 0.000 | 0.027 | 1.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | B | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 64 | 21 | 39 | 23 | 37 | 99 | 21 | 20 | 14 |
N.S. | 1 | 3.20 | 1.05 | 1.95 | 1.15 | 1.85 | 4.95 | 1.05 | 1.00 | 0.70 |
time (sec) |
N/A | 0.012 | 0.014 | 0.091 | 0.261 | 0.311 | 0.164 | 0.002 | 0.273 | 2.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 23 | 23 | 22 | 39 | 31 | 22 | 35 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.74 | 0.71 | 1.26 | 1.00 | 0.71 | 1.13 |
time (sec) |
N/A | 0.007 | 0.013 | 0.268 | 0.252 | 0.311 | 0.105 | 0.028 | 0.254 | 2.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 27 | 18 | 20 | 37 | 32 | 25 | 27 | 23 |
N.S. | 1 | 1.00 | 1.29 | 0.86 | 0.95 | 1.76 | 1.52 | 1.19 | 1.29 | 1.10 |
time (sec) |
N/A | 0.006 | 0.004 | 0.079 | 0.253 | 0.306 | 0.028 | 0.002 | 0.196 | 1.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 95 | 32 | 54 | 93 | 60 | 133 | 44 | 44 |
N.S. | 1 | 1.00 | 2.64 | 0.89 | 1.50 | 2.58 | 1.67 | 3.69 | 1.22 | 1.22 |
time (sec) |
N/A | 0.012 | 0.006 | 0.092 | 0.249 | 0.325 | 0.081 | 0.003 | 0.249 | 2.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 57 | 37 | 33 | 40 | 66 | 45 | 51 | 40 |
N.S. | 1 | 1.00 | 1.39 | 0.90 | 0.80 | 0.98 | 1.61 | 1.10 | 1.24 | 0.98 |
time (sec) |
N/A | 0.010 | 0.005 | 0.082 | 0.265 | 0.321 | 0.029 | 0.001 | 0.213 | 2.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 40 | 51 | 70 | 388 | 64 | 35 | 166 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 1.28 | 1.75 | 9.70 | 1.60 | 0.88 | 4.15 |
time (sec) |
N/A | 0.008 | 0.009 | 0.333 | 0.252 | 0.334 | 0.550 | 0.010 | 0.621 | 9.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 30 | 21 | 18 | 18 | 31 | 20 | 18 | 18 |
N.S. | 1 | 1.00 | 1.36 | 0.95 | 0.82 | 0.82 | 1.41 | 0.91 | 0.82 | 0.82 |
time (sec) |
N/A | 0.008 | 0.004 | 0.010 | 0.343 | 0.314 | 0.035 | 0.001 | 0.035 | 1.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 16 | 26 | 22 | 40 | 19 | 43 | 26 | 14 |
N.S. | 1 | 1.00 | 0.80 | 1.30 | 1.10 | 2.00 | 0.95 | 2.15 | 1.30 | 0.70 |
time (sec) |
N/A | 0.008 | 0.003 | 0.027 | 0.261 | 0.313 | 0.053 | 0.002 | 0.270 | 1.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 40 | 38 | 30 | 70 | 20 | 92 | 24 | 26 |
N.S. | 1 | 1.00 | 1.25 | 1.19 | 0.94 | 2.19 | 0.62 | 2.88 | 0.75 | 0.81 |
time (sec) |
N/A | 0.008 | 0.013 | 0.046 | 0.357 | 0.329 | 0.083 | 0.021 | 0.088 | 2.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 46 | 42 | 24 | 37 | 56 | 43 | 38 | 64 |
N.S. | 1 | 1.00 | 0.82 | 0.75 | 0.43 | 0.66 | 1.00 | 0.77 | 0.68 | 1.14 |
time (sec) |
N/A | 0.039 | 0.018 | 0.081 | 0.263 | 0.323 | 0.030 | 0.001 | 0.043 | 1.959 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 55 | 38 | 25 | 25 | 27 | 33 | 25 | 26 |
N.S. | 1 | 1.00 | 1.67 | 1.15 | 0.76 | 0.76 | 0.82 | 1.00 | 0.76 | 0.79 |
time (sec) |
N/A | 0.018 | 0.025 | 0.032 | 0.256 | 0.329 | 0.032 | 0.001 | 0.196 | 1.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 37 | 40 | 38 | 44 | 52 | 36 | 36 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.87 | 0.83 | 0.96 | 1.13 | 0.78 | 0.78 |
time (sec) |
N/A | 0.017 | 0.008 | 0.035 | 0.262 | 0.336 | 0.046 | 0.001 | 0.036 | 1.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 53 | 56 | 37 | 55 | 44 | 31 | 27 | 39 |
N.S. | 1 | 1.00 | 1.29 | 1.37 | 0.90 | 1.34 | 1.07 | 0.76 | 0.66 | 0.95 |
time (sec) |
N/A | 0.020 | 0.019 | 0.075 | 0.261 | 0.324 | 0.034 | 0.003 | 0.122 | 2.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 14 | 19 | 10 | 19 | 14 | 13 | 18 | 10 |
N.S. | 1 | 1.00 | 0.58 | 0.79 | 0.42 | 0.79 | 0.58 | 0.54 | 0.75 | 0.42 |
time (sec) |
N/A | 0.017 | 0.005 | 0.026 | 0.254 | 0.313 | 0.032 | 0.001 | 0.044 | 1.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 22 | 36 | 16 | 31 | 31 | 21 | 32 | 22 |
N.S. | 1 | 1.00 | 0.48 | 0.78 | 0.35 | 0.67 | 0.67 | 0.46 | 0.70 | 0.48 |
time (sec) |
N/A | 0.033 | 0.008 | 0.083 | 0.258 | 0.315 | 0.033 | 0.001 | 0.045 | 1.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 30 | 52 | 24 | 43 | 46 | 32 | 44 | 34 |
N.S. | 1 | 1.00 | 0.44 | 0.76 | 0.35 | 0.63 | 0.68 | 0.47 | 0.65 | 0.50 |
time (sec) |
N/A | 0.050 | 0.011 | 0.079 | 0.268 | 0.311 | 0.034 | 0.001 | 0.028 | 1.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 38 | 68 | 30 | 55 | 61 | 39 | 56 | 46 |
N.S. | 1 | 1.00 | 0.42 | 0.76 | 0.33 | 0.61 | 0.68 | 0.43 | 0.62 | 0.51 |
time (sec) |
N/A | 0.070 | 0.016 | 0.083 | 0.266 | 0.339 | 0.035 | 0.001 | 0.036 | 2.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 58 | 0 | 0 | 0 | 0 | 0 | 52 | 0 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.76 | 0.00 |
time (sec) |
N/A | 0.024 | 0.038 | 0.023 | 0.000 | 0.334 | 0.000 | 0.000 | 0.749 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 45 | 25 | 41 | 71 | 54 | 149 | 24 | 52 |
N.S. | 1 | 1.00 | 1.41 | 0.78 | 1.28 | 2.22 | 1.69 | 4.66 | 0.75 | 1.62 |
time (sec) |
N/A | 0.014 | 0.043 | 0.058 | 0.252 | 0.330 | 0.626 | 0.033 | 0.284 | 5.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 11 | 6 | 14 | 17 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.38 | 0.75 | 1.75 | 2.12 | 0.88 | 0.75 | 0.75 |
time (sec) |
N/A | 0.013 | 0.002 | 0.036 | 0.250 | 0.311 | 0.031 | 0.001 | 0.028 | 1.644 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 32 | 14 | 22 | 15 | 16 | 11 | 14 |
N.S. | 1 | 1.00 | 1.00 | 2.91 | 1.27 | 2.00 | 1.36 | 1.45 | 1.00 | 1.27 |
time (sec) |
N/A | 0.009 | 0.005 | 0.069 | 0.264 | 0.400 | 0.047 | 0.001 | 0.317 | 1.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.008 | 0.004 | 0.025 | 0.249 | 0.314 | 0.031 | 0.001 | 0.323 | 1.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 71 | 36 | 38 | 68 | 41 | 47 | 24 | 31 |
N.S. | 1 | 1.00 | 2.73 | 1.38 | 1.46 | 2.62 | 1.58 | 1.81 | 0.92 | 1.19 |
time (sec) |
N/A | 0.019 | 0.013 | 0.046 | 0.249 | 0.328 | 0.072 | 0.002 | 0.323 | 2.107 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 22 | 14 | 30 | 15 | 16 | 13 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.29 | 0.82 | 1.76 | 0.88 | 0.94 | 0.76 | 0.82 |
time (sec) |
N/A | 0.016 | 0.006 | 0.037 | 0.249 | 0.311 | 0.048 | 0.001 | 0.068 | 1.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 24 | 49 | 19 | 20 | 39 | 30 | 22 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.58 | 0.61 | 0.65 | 1.26 | 0.97 | 0.71 | 0.00 |
time (sec) |
N/A | 0.017 | 0.034 | 0.109 | 0.269 | 0.319 | 16.076 | 0.002 | 1.118 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 22 | 26 | 13 | 27 | 0 | 29 | 32 | 0 |
N.S. |
1 | 1.00 | 1.05 | 1.24 | 0.62 | 1.29 | 0.00 | 1.38 | 1.52 | 0.00 |
time (sec) |
N/A | 0.015 | 0.025 | 0.282 | 0.253 | 0.338 | 0.000 | 0.003 | 1.152 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 95 | 52 | 54 | 93 | 56 | 51 | 57 | 44 |
N.S. | 1 | 1.00 | 2.50 | 1.37 | 1.42 | 2.45 | 1.47 | 1.34 | 1.50 | 1.16 |
time (sec) |
N/A | 0.033 | 0.014 | 0.053 | 0.251 | 0.324 | 0.077 | 0.001 | 0.280 | 2.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 74 | 76 | 74 | 82 | 0 | 109 | 75 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.00 | 0.97 | 1.08 | 0.00 | 1.43 | 0.99 | 0.00 |
time (sec) |
N/A | 0.026 | 0.050 | 0.384 | 0.337 | 0.333 | 0.000 | 0.069 | 6.376 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 84 | 127 | 210 | 115 | 178 | 0 | 166 | 133 | 0 |
N.S. |
1 | 0.95 | 1.44 | 2.39 | 1.31 | 2.02 | 0.00 | 1.89 | 1.51 | 0.00 |
time (sec) |
N/A | 0.365 | 1.355 | 0.335 | 0.350 | 0.465 | 0.000 | 0.006 | 0.381 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 74 | 66 | 54 | 54 | 148 | 100 | 94 | 65 |
N.S. | 1 | 1.00 | 1.06 | 0.94 | 0.77 | 0.77 | 2.11 | 1.43 | 1.34 | 0.93 |
time (sec) |
N/A | 0.096 | 0.050 | 0.148 | 0.259 | 0.321 | 0.268 | 0.003 | 0.385 | 3.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 29 | 35 | 36 | 71 | 39 | 101 | 75 | 34 |
N.S. | 1 | 1.00 | 0.88 | 1.06 | 1.09 | 2.15 | 1.18 | 3.06 | 2.27 | 1.03 |
time (sec) |
N/A | 0.036 | 0.022 | 0.040 | 0.352 | 0.330 | 0.244 | 0.011 | 0.518 | 2.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 20 | 21 | 14 | 26 | 24 | 23 | 26 | 14 |
N.S. | 1 | 1.00 | 1.25 | 1.31 | 0.88 | 1.62 | 1.50 | 1.44 | 1.62 | 0.88 |
time (sec) |
N/A | 0.026 | 0.013 | 0.115 | 0.345 | 0.332 | 10.301 | 0.001 | 0.312 | 11.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 22 | 21 | 27 | 24 | 32 | 10 | 21 |
N.S. | 1 | 1.00 | 1.00 | 1.83 | 1.75 | 2.25 | 2.00 | 2.67 | 0.83 | 1.75 |
time (sec) |
N/A | 0.015 | 0.008 | 0.084 | 0.271 | 0.316 | 0.825 | 0.001 | 0.269 | 2.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 14 | 13 | 18 | 20 | 15 | 13 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.06 | 1.18 | 0.88 | 0.76 | 1.06 |
time (sec) |
N/A | 0.005 | 0.007 | 0.069 | 0.252 | 0.326 | 0.139 | 0.001 | 0.193 | 2.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 31 | 54 | 43 | 75 | 47 | 33 | 46 |
N.S. | 1 | 1.00 | 1.00 | 1.19 | 2.08 | 1.65 | 2.88 | 1.81 | 1.27 | 1.77 |
time (sec) |
N/A | 0.019 | 0.035 | 0.109 | 0.252 | 0.355 | 10.242 | 0.002 | 0.234 | 12.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 29 | 30 | 31 | 139 | 35 | 36 | 48 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.79 | 0.82 | 3.66 | 0.92 | 0.95 | 1.26 |
time (sec) |
N/A | 0.019 | 0.014 | 0.094 | 0.280 | 0.339 | 2.287 | 0.001 | 0.301 | 4.980 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 35 | 33 | 43 | 22 | 23 | 21 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.75 | 1.65 | 2.15 | 1.10 | 1.15 | 1.05 | 1.00 |
time (sec) |
N/A | 0.030 | 0.009 | 0.085 | 0.276 | 0.328 | 13.290 | 0.002 | 0.067 | 15.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 19 | 19 | 25 | 14 | 16 | 35 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.58 | 1.58 | 2.08 | 1.17 | 1.33 | 2.92 | 1.00 |
time (sec) |
N/A | 0.014 | 0.008 | 0.076 | 0.262 | 0.341 | 3.321 | 0.002 | 0.298 | 5.138 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 65 | 39 | 35 | 208 | 64 | 0 | 89 | 47 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.55 | 3.25 | 1.00 | 0.00 | 1.39 | 0.73 | 0.00 |
time (sec) |
N/A | 0.050 | 0.026 | 0.152 | 0.369 | 0.327 | 0.000 | 0.007 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 17 | 17 | 27 | 92 | 17 | 0 | 26 | 25 | 0 |
N.S. |
1 | 1.55 | 1.55 | 2.45 | 8.36 | 1.55 | 0.00 | 2.36 | 2.27 | 0.00 |
time (sec) |
N/A | 0.021 | 0.009 | 0.090 | 0.262 | 0.334 | 0.000 | 0.001 | 0.616 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 7 | 12 | 9 | 11 | 0 | 9 | 5 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.71 | 1.29 | 1.57 | 0.00 | 1.29 | 0.71 | 0.00 |
time (sec) |
N/A | 0.024 | 0.026 | 0.102 | 0.394 | 0.324 | 0.000 | 0.001 | 0.266 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 83 | 33 | 43 | 27 | 38 | 107 | 97 | 23 | 39 |
N.S. | 1 | 1.57 | 0.62 | 0.81 | 0.51 | 0.72 | 2.02 | 1.83 | 0.43 | 0.74 |
time (sec) |
N/A | 0.068 | 0.043 | 0.112 | 0.352 | 0.358 | 4.902 | 0.002 | 0.214 | 9.953 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 94 | 22 | 20 | 39 | 66 | 39 | 49 | 17 | 30 |
N.S. | 1 | 2.85 | 0.67 | 0.61 | 1.18 | 2.00 | 1.18 | 1.48 | 0.52 | 0.91 |
time (sec) |
N/A | 0.045 | 0.031 | 0.070 | 0.335 | 0.326 | 0.316 | 0.005 | 0.081 | 2.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 9 | 8 | 7 | 21 | 219 | 20 | 16 | 169 |
N.S. | 1 | 1.00 | 0.33 | 0.30 | 0.26 | 0.78 | 8.11 | 0.74 | 0.59 | 6.26 |
time (sec) |
N/A | 0.014 | 0.017 | 0.060 | 0.341 | 0.323 | 5.091 | 0.001 | 0.283 | 9.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 41 | 31 | 28 | 46 | 102 | 36 | 38 | 50 |
N.S. | 1 | 1.00 | 1.46 | 1.11 | 1.00 | 1.64 | 3.64 | 1.29 | 1.36 | 1.79 |
time (sec) |
N/A | 0.026 | 0.029 | 0.113 | 0.337 | 0.319 | 0.241 | 0.004 | 0.320 | 3.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 58 | 39 | 38 | 61 | 0 | 89 | 120 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.58 | 0.57 | 0.91 | 0.00 | 1.33 | 1.79 | 0.00 |
time (sec) |
N/A | 0.030 | 0.082 | 0.122 | 0.335 | 0.324 | 0.000 | 0.001 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 54 | 29 | 28 | 58 | 0 | 74 | 77 | 69 |
N.S. | 1 | 1.00 | 0.98 | 0.53 | 0.51 | 1.05 | 0.00 | 1.35 | 1.40 | 1.25 |
time (sec) |
N/A | 0.023 | 0.062 | 0.078 | 0.337 | 0.326 | 0.000 | 0.001 | 0.386 | 12.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 70 | 45 | 44 | 77 | 252 | 48 | 48 | 91 |
N.S. | 1 | 1.00 | 1.67 | 1.07 | 1.05 | 1.83 | 6.00 | 1.14 | 1.14 | 2.17 |
time (sec) |
N/A | 0.057 | 0.144 | 0.052 | 0.341 | 0.332 | 0.263 | 0.005 | 0.284 | 4.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 20 | 0 | 19 | 76 | 26 | 7 | 69 |
N.S. | 1 | 1.00 | 1.00 | 2.22 | 0.00 | 2.11 | 8.44 | 2.89 | 0.78 | 7.67 |
time (sec) |
N/A | 0.014 | 0.006 | 0.081 | 0.000 | 0.316 | 2.171 | 0.003 | 0.362 | 4.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 174 | 13 | 129 | 33 | 0 | 60 | 12 | 0 |
N.S. |
1 | 1.00 | 11.60 | 0.87 | 8.60 | 2.20 | 0.00 | 4.00 | 0.80 | 0.00 |
time (sec) |
N/A | 0.009 | 0.239 | 0.057 | 0.344 | 0.329 | 0.000 | 0.007 | 0.126 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 28 | 21 | 128 | 26 | 22 | 27 | 9 | 22 |
N.S. | 1 | 1.00 | 1.65 | 1.24 | 7.53 | 1.53 | 1.29 | 1.59 | 0.53 | 1.29 |
time (sec) |
N/A | 0.026 | 0.011 | 0.074 | 0.351 | 0.324 | 0.560 | 0.004 | 0.242 | 2.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 81 | 19 | 0 | 26 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 3.86 | 0.90 | 0.00 | 1.24 | 0.71 | 0.00 |
time (sec) |
N/A | 0.025 | 0.012 | 0.106 | 0.366 | 0.336 | 0.000 | 0.002 | 0.116 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 34 | 129 | 19 | 17 | 26 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.62 | 6.14 | 0.90 | 0.81 | 1.24 | 0.81 | 0.81 |
time (sec) |
N/A | 0.016 | 0.006 | 0.083 | 0.337 | 0.318 | 0.569 | 0.002 | 0.260 | 2.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 28 | 171 | 50 | 294 | 59 | 27 | 83 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 6.58 | 1.92 | 11.31 | 2.27 | 1.04 | 3.19 |
time (sec) |
N/A | 0.016 | 0.016 | 0.098 | 0.361 | 0.347 | 3.493 | 0.003 | 0.466 | 8.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 218 | 28 | 171 | 50 | 294 | 59 | 27 | 83 |
N.S. | 1 | 1.00 | 8.38 | 1.08 | 6.58 | 1.92 | 11.31 | 2.27 | 1.04 | 3.19 |
time (sec) |
N/A | 0.022 | 0.208 | 0.104 | 0.352 | 0.366 | 7.803 | 0.004 | 0.288 | 13.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 25 | 22 | 0 | 34 | 0 | 23 | 21 | 0 |
N.S. |
1 | 1.00 | 1.56 | 1.38 | 0.00 | 2.12 | 0.00 | 1.44 | 1.31 | 0.00 |
time (sec) |
N/A | 0.006 | 0.010 | 0.104 | 0.000 | 0.380 | 0.000 | 0.003 | 0.226 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 27 | 31 | 0 | 35 | 0 | 39 | 23 | 0 |
N.S. |
1 | 1.00 | 1.59 | 1.82 | 0.00 | 2.06 | 0.00 | 2.29 | 1.35 | 0.00 |
time (sec) |
N/A | 0.008 | 0.010 | 0.098 | 0.000 | 0.307 | 0.000 | 0.002 | 0.223 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 47 | 9 | 41 | 55 | 0 | 42 | 13 | 0 |
N.S. |
1 | 1.00 | 1.74 | 0.33 | 1.52 | 2.04 | 0.00 | 1.56 | 0.48 | 0.00 |
time (sec) |
N/A | 0.008 | 0.012 | 0.046 | 0.394 | 0.325 | 0.000 | 0.003 | 0.053 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 33 | 17 | 101 | 58 | 0 | 18 | 28 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.57 | 3.37 | 1.93 | 0.00 | 0.60 | 0.93 | 0.00 |
time (sec) |
N/A | 0.009 | 0.012 | 0.076 | 0.404 | 0.322 | 0.000 | 0.005 | 0.245 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 61 | 52 | 433 | 107 | 0 | 123 | -1 | 0 |
N.S. |
1 | 1.00 | 1.15 | 0.98 | 8.17 | 2.02 | 0.00 | 2.32 | -0.02 | 0.00 |
time (sec) |
N/A | 0.018 | 0.096 | 0.091 | 0.398 | 0.316 | 0.000 | 0.009 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 76 | 47 | 0 | 71 | 0 | 161 | -1 | 0 |
N.S. |
1 | 1.00 | 1.04 | 0.64 | 0.00 | 0.97 | 0.00 | 2.21 | -0.01 | 0.00 |
time (sec) |
N/A | 0.021 | 0.108 | 0.180 | 0.000 | 0.610 | 0.000 | 0.012 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 36 | 31 | 43 | 40 | 230 | 67 | -1 | 27 |
N.S. | 1 | 1.00 | 0.65 | 0.56 | 0.78 | 0.73 | 4.18 | 1.22 | -0.02 | 0.49 |
time (sec) |
N/A | 0.091 | 0.051 | 0.691 | 0.262 | 0.309 | 43.340 | 0.011 | 0.000 | 35.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 24 | 49 | 80 | 180 | 0 | 120 | 65 | 0 |
N.S. |
1 | 1.00 | 0.24 | 0.50 | 0.82 | 1.84 | 0.00 | 1.22 | 0.66 | 0.00 |
time (sec) |
N/A | 0.041 | 0.010 | 0.052 | 0.360 | 0.312 | 0.000 | 0.002 | 0.127 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 69 | 69 | 53 | 52 | 54 | 0 | 83 | 67 | 0 |
N.S. |
1 | 1.21 | 1.21 | 0.93 | 0.91 | 0.95 | 0.00 | 1.46 | 1.18 | 0.00 |
time (sec) |
N/A | 0.039 | 0.034 | 0.059 | 0.346 | 0.309 | 0.000 | 0.037 | 0.687 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 73 | 130 | 3213 | 541 | 0 | 234 | 63 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.49 | 36.93 | 6.22 | 0.00 | 2.69 | 0.72 | 0.00 |
time (sec) |
N/A | 0.065 | 0.065 | 0.132 | 0.582 | 0.568 | 0.000 | 0.008 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 38 | 219 | 30 | 82 | 0 | 44 | 105 | 0 |
N.S. |
1 | 1.00 | 0.95 | 5.48 | 0.75 | 2.05 | 0.00 | 1.10 | 2.62 | 0.00 |
time (sec) |
N/A | 0.087 | 0.909 | 0.472 | 0.258 | 0.322 | 0.000 | 0.006 | 1.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | C | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 133 | 62 | 94 | 117 | 603 | 0 | 155 | 228 | 0 |
N.S. |
1 | 1.58 | 0.74 | 1.12 | 1.39 | 7.18 | 0.00 | 1.85 | 2.71 | 0.00 |
time (sec) |
N/A | 0.224 | 0.184 | 0.050 | 0.356 | 1.246 | 0.000 | 0.009 | 1.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 266 | 0 | 137 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 8.58 | 0.00 | 4.42 | 0.00 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.010 | 0.029 | 0.147 | 0.000 | 0.325 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 29 | 98 | 0 | 137 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.94 | 3.16 | 0.00 | 4.42 | 0.00 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.009 | 0.022 | 0.106 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 41 | 171 | 0 | 151 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.80 | 0.00 | 3.36 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.017 | 0.027 | 0.103 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 43 | 443 | 0 | 76 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.91 | 9.43 | 0.00 | 1.62 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.057 | 0.044 | 0.175 | 0.000 | 0.319 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 50 | 510 | 0 | 181 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.82 | 8.36 | 0.00 | 2.97 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.048 | 0.061 | 0.143 | 0.000 | 0.329 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 56 | 1108 | 0 | 205 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.92 | 18.16 | 0.00 | 3.36 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.049 | 0.051 | 0.162 | 0.000 | 0.334 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-2) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 508 | 0 | 39 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 1.00 | 31.75 | 0.00 | 2.44 | 0.00 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.014 | 0.023 | 0.158 | 0.000 | 0.475 | 0.000 | 0.000 | 0.562 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F(-2) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 20 | 286 | 0 | 32 | 0 | 0 | 20 | 0 |
N.S. |
1 | 1.00 | 0.65 | 9.23 | 0.00 | 1.03 | 0.00 | 0.00 | 0.65 | 0.00 |
time (sec) |
N/A | 0.025 | 0.021 | 0.122 | 0.000 | 0.316 | 0.000 | 0.000 | 0.385 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 24 | 121 | 0 | 43 | 0 | 0 | 29 | 0 |
N.S. |
1 | 1.00 | 0.83 | 4.17 | 0.00 | 1.48 | 0.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.022 | 0.092 | 0.000 | 0.320 | 0.000 | 0.000 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F(-1) | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 95 | 111 | 761 | 0 | 136 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.40 | 1.63 | 11.19 | 0.00 | 2.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.552 | 1.050 | 0.362 | 0.000 | 0.329 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 29 | 19 | 16 | 6 | 15 | 0 | 0 | 15 | 0 |
N.S. |
1 | 1.53 | 1.00 | 0.84 | 0.32 | 0.79 | 0.00 | 0.00 | 0.79 | 0.00 |
time (sec) |
N/A | 0.072 | 0.008 | 0.201 | 0.343 | 0.314 | 0.000 | 0.000 | 0.514 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | C | F | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 204 | 66 | 318 | 0 | 1006 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.22 | 0.72 | 3.46 | 0.00 | 10.93 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.146 | 0.053 | 0.255 | 0.000 | 29.396 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 63 | 0 | 13 | 29 | 0 | 0 | 32 | 0 |
N.S. |
1 | 1.00 | 1.34 | 0.00 | 0.28 | 0.62 | 0.00 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.046 | 0.097 | 0.378 | 0.426 | 0.312 | 0.000 | 0.000 | 3.937 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 35 | 0 | 77 | 101 | 0 | 0 | 110 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.00 | 1.10 | 1.44 | 0.00 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.118 | 0.036 | 0.276 | 0.360 | 0.316 | 0.000 | 0.000 | 3.552 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | C | C | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 108 | 234 | 105 | 247 | 0 | 611 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.17 | 0.97 | 2.29 | 0.00 | 5.66 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.981 | 0.181 | 0.523 | 0.000 | 4.708 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | C | F | F(-2) | F(-1) | F | F | F(-1) |
verified |
N/A | NO | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 364 | 665 | 434 | 22968 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.83 | 1.19 | 63.10 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 | 0.00 |
time (sec) |
N/A | 2.889 | 7.969 | 9.418 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 141 | 58 | 0 | 60 | 56 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.13 | 0.46 | 0.00 | 0.48 | 0.45 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.632 | 0.225 | 1.064 | 0.384 | 0.324 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 67 | 61 | 56 | 55 | 108 | 0 | 73 | 43 | 0 |
N.S. |
1 | 0.92 | 0.84 | 0.77 | 0.75 | 1.48 | 0.00 | 1.00 | 0.59 | 0.00 |
time (sec) |
N/A | 0.029 | 0.082 | 0.044 | 0.323 | 0.350 | 0.000 | 0.007 | 0.133 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 48 | 103 | 53 | 88 | 0 | 56 | -1 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.49 | 0.77 | 1.28 | 0.00 | 0.81 | -0.01 | 0.00 |
time (sec) |
N/A | 0.033 | 0.047 | 0.157 | 0.323 | 0.333 | 0.000 | 0.011 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | C | F(-1) | C | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 61 | 82 | 36 | 123 | 0 | 55 | -1 | 0 |
N.S. |
1 | 1.00 | 1.05 | 1.41 | 0.62 | 2.12 | 0.00 | 0.95 | -0.02 | 0.00 |
time (sec) |
N/A | 0.031 | 0.048 | 0.175 | 0.343 | 0.333 | 0.000 | 0.006 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 37 | 44 | 43 | 51 | 0 | 50 | 28 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.80 | 0.78 | 0.93 | 0.00 | 0.91 | 0.51 | 0.00 |
time (sec) |
N/A | 0.033 | 0.059 | 0.086 | 0.245 | 0.351 | 0.000 | 0.013 | 0.658 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 58 | 716 | 100 | 0 | 49 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.49 | 18.36 | 2.56 | 0.00 | 1.26 | -0.03 | 0.00 |
time (sec) |
N/A | 0.051 | 0.063 | 0.177 | 0.392 | 0.335 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | B | F(-1) | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 63 | 53 | 69 | 131 | 0 | 54 | -1 | 0 |
N.S. |
1 | 1.00 | 1.31 | 1.10 | 1.44 | 2.73 | 0.00 | 1.12 | -0.02 | 0.00 |
time (sec) |
N/A | 0.051 | 0.199 | 0.124 | 0.330 | 0.332 | 0.000 | 0.018 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 28 | 46 | 192 | 1 | 0 | 54 | 28 | 0 |
N.S. |
1 | 1.00 | 0.57 | 0.94 | 3.92 | 0.02 | 0.00 | 1.10 | 0.57 | 0.00 |
time (sec) |
N/A | 0.071 | 0.058 | 0.082 | 0.277 | 0.332 | 0.000 | 0.005 | 0.633 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | C | F(-2) | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 111 | 119 | 295 | 131 | 115 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.07 | 2.66 | 1.18 | 1.04 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.368 | 1.104 | 0.304 | 0.352 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F(-1) | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 156 | 0 | 0 | 195 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.39 | 0.00 | 0.00 | 1.74 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.277 | 0.224 | 180.000 | 0.000 | 0.378 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 29 | 38 | 25 | 26 | 0 | 169 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.15 | 0.76 | 0.79 | 0.00 | 5.12 | -0.03 | 0.00 |
time (sec) |
N/A | 0.037 | 0.027 | 0.144 | 0.244 | 0.353 | 0.000 | 0.013 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 32 | 62 | 488 | 77 | 0 | 36 | -1 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.88 | 14.79 | 2.33 | 0.00 | 1.09 | -0.03 | 0.00 |
time (sec) |
N/A | 0.014 | 0.013 | 0.147 | 0.394 | 0.332 | 0.000 | 0.015 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 49 | 55 | 790 | 103 | 0 | 0 | 29 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.00 | 14.36 | 1.87 | 0.00 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.020 | 0.067 | 0.089 | 0.378 | 0.324 | 0.000 | 0.000 | 0.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 39 | 90 | 39 | 0 | 88 | 12 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.44 | 5.62 | 2.44 | 0.00 | 5.50 | 0.75 | 0.00 |
time (sec) |
N/A | 0.009 | 0.027 | 0.151 | 0.337 | 0.320 | 0.000 | 0.058 | 0.347 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | B | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 100 | 0 | 118 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.04 | 0.00 | 2.41 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.036 | 0.062 | 0.162 | 0.000 | 0.342 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F(-1) | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 91 | 62 | 180 | 1359 | 163 | 0 | 79 | -1 | 0 |
N.S. |
1 | 1.05 | 0.71 | 2.07 | 15.62 | 1.87 | 0.00 | 0.91 | -0.01 | 0.00 |
time (sec) |
N/A | 0.125 | 0.135 | 0.312 | 0.442 | 0.338 | 0.000 | 0.022 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | C | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 115 | 754 | 0 | 130 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.69 | 11.09 | 0.00 | 1.91 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.030 | 0.139 | 0.458 | 0.000 | 0.329 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 79 | 473 | 0 | 115 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.98 | 11.82 | 0.00 | 2.88 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.019 | 0.080 | 0.442 | 0.000 | 0.324 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F(-1) | A | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 131 | 975 | 0 | 97 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.39 | 10.37 | 0.00 | 1.03 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.107 | 0.350 | 1.355 | 0.000 | 0.374 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | F | C | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 36 | 64 | 63 | 33 | 0 | 193 | 20 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.64 | 1.62 | 0.85 | 0.00 | 4.95 | 0.51 | 0.00 |
time (sec) |
N/A | 0.094 | 0.055 | 0.535 | 0.258 | 0.323 | 0.000 | 0.015 | 0.759 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | F | B | F(-1) | B | F | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 255 | 1611 | 0 | 257 | 0 | 161 | -1 | 0 |
N.S. |
1 | 1.00 | 3.49 | 22.07 | 0.00 | 3.52 | 0.00 | 2.21 | -0.01 | 0.00 |
time (sec) |
N/A | 0.708 | 3.765 | 1.528 | 0.000 | 0.386 | 0.000 | 0.046 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | A | A | F(-1) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 116 | 117 | 47 | 84 | 0 | 0 | 113 | 0 |
N.S. |
1 | 1.00 | 2.04 | 2.05 | 0.82 | 1.47 | 0.00 | 0.00 | 1.98 | 0.00 |
time (sec) |
N/A | 0.526 | 0.628 | 0.667 | 0.331 | 0.327 | 0.000 | 0.000 | 1.473 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | F | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 49 | 61 | 0 | 50 | 0 | 84 | 90 | 0 |
N.S. |
1 | 1.00 | 0.74 | 0.92 | 0.00 | 0.76 | 0.00 | 1.27 | 1.36 | 0.00 |
time (sec) |
N/A | 0.044 | 0.048 | 0.046 | 0.000 | 0.325 | 0.000 | 0.007 | 1.569 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 71 | 41 | 0 | 76 | 46 | 57 | 172 | 40 |
N.S. | 1 | 1.00 | 1.31 | 0.76 | 0.00 | 1.41 | 0.85 | 1.06 | 3.19 | 0.74 |
time (sec) |
N/A | 0.036 | 0.263 | 0.047 | 0.000 | 0.327 | 3.469 | 0.008 | 0.511 | 5.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F(-1) | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 133 | 105 | 0 | 0 | 0 | 0 | 274 | 250 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.00 | 0.00 | 0.00 | 0.00 | 2.06 | 1.88 | 0.00 |
time (sec) |
N/A | 0.102 | 0.091 | 0.034 | 0.000 | 0.000 | 0.000 | 0.022 | 1.447 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 42 | 0 | 0 | 117 | 0 | 104 | 101 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.00 | 0.00 | 1.70 | 0.00 | 1.51 | 1.46 | 0.00 |
time (sec) |
N/A | 0.056 | 0.060 | 0.030 | 0.000 | 0.673 | 0.000 | 0.011 | 0.717 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | A | F(-1) | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 256 | 0 | 71 | 0 | 0 | 84 | 46 | 0 |
N.S. |
1 | 1.00 | 4.92 | 0.00 | 1.37 | 0.00 | 0.00 | 1.62 | 0.88 | 0.00 |
time (sec) |
N/A | 0.051 | 0.191 | 0.038 | 0.342 | 0.000 | 0.000 | 0.095 | 0.414 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | A | F(-1) | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 245 | 0 | 74 | 0 | 0 | 87 | -1 | 0 |
N.S. |
1 | 1.00 | 4.54 | 0.00 | 1.37 | 0.00 | 0.00 | 1.61 | -0.02 | 0.00 |
time (sec) |
N/A | 0.049 | 0.180 | 0.039 | 0.343 | 0.000 | 0.000 | 0.092 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F(-1) | F(-2) | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 174 | 370 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.31 | 2.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 3.186 | 54.123 | 180.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | B | F | B | F(-1) | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 208 | 169 | 559 | 0 | 271 | 0 | 230 | -1 | 0 |
N.S. |
1 | 2.08 | 1.69 | 5.59 | 0.00 | 2.71 | 0.00 | 2.30 | -0.01 | 0.00 |
time (sec) |
N/A | 0.649 | 3.064 | 0.643 | 0.000 | 0.655 | 0.000 | 0.052 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 47 | 127 | 136 | 185 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.42 | 1.13 | 1.21 | 1.65 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.103 | 0.033 | 0.307 | 0.326 | 0.336 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | B | F(-1) | F(-1) | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 162 | 154 | 0 | 145 | 0 | 0 | 189 | -1 | 0 |
N.S. |
1 | 1.71 | 1.62 | 0.00 | 1.53 | 0.00 | 0.00 | 1.99 | -0.01 | 0.00 |
time (sec) |
N/A | 0.169 | 0.089 | 0.115 | 0.342 | 0.000 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 30 | 0 | 37 | 46 | 0 | 67 | -1 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.00 | 0.76 | 0.94 | 0.00 | 1.37 | -0.02 | 0.00 |
time (sec) |
N/A | 0.062 | 0.325 | 0.832 | 0.241 | 0.370 | 0.000 | 0.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 42 | 26 | 86 | 35 | 0 | 40 | 43 | 0 |
N.S. |
1 | 1.00 | 2.10 | 1.30 | 4.30 | 1.75 | 0.00 | 2.00 | 2.15 | 0.00 |
time (sec) |
N/A | 0.133 | 0.139 | 0.054 | 0.291 | 0.320 | 0.000 | 0.031 | 0.621 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | B | F | A | F | F(-1) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 35 | 2512 | 0 | 0 | 93 | 0 | 56 | -1 | 0 |
N.S. |
1 | 1.30 | 93.04 | 0.00 | 0.00 | 3.44 | 0.00 | 2.07 | -0.04 | 0.00 |
time (sec) |
N/A | 0.576 | 45.134 | 0.421 | 0.000 | 1.027 | 0.000 | 0.047 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 126 | 89 | 0 | 100 | 461 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.25 | 0.88 | 0.00 | 0.99 | 4.56 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.856 | 0.264 | 0.697 | 0.333 | 43.317 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | A | F(-1) | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 140 | 0 | 0 | 26 | 0 | 128 | -1 | 0 |
N.S. |
1 | 1.00 | 5.60 | 0.00 | 0.00 | 1.04 | 0.00 | 5.12 | -0.04 | 0.00 |
time (sec) |
N/A | 0.038 | 4.368 | 0.128 | 0.000 | 0.321 | 0.000 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F(-1) | F(-2) | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 154 | 153 | 0 | 0 | 0 | 0 | 244 | -1 | 0 |
N.S. |
1 | 1.51 | 1.50 | 0.00 | 0.00 | 0.00 | 0.00 | 2.39 | -0.01 | 0.00 |
time (sec) |
N/A | 0.122 | 0.076 | 0.309 | 0.000 | 0.000 | 0.000 | 0.009 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | B | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 18 | 45 | 88 | 259 | 50 | 0 | 111 | -1 | 0 |
N.S. |
1 | 1.06 | 2.65 | 5.18 | 15.24 | 2.94 | 0.00 | 6.53 | -0.06 | 0.00 |
time (sec) |
N/A | 0.012 | 0.050 | 0.280 | 0.352 | 0.358 | 0.000 | 0.030 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F(-2) | B | F | C | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 52 | 242 | 0 | 115 | 0 | 171 | -1 | 0 |
N.S. |
1 | 1.00 | 1.62 | 7.56 | 0.00 | 3.59 | 0.00 | 5.34 | -0.03 | 0.00 |
time (sec) |
N/A | 0.025 | 0.046 | 0.478 | 0.000 | 0.337 | 0.000 | 0.046 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 24 | 27 | 30 | 24 | 38 | 24 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.87 | 0.97 | 0.77 | 1.23 | 0.77 | 0.74 |
time (sec) |
N/A | 0.010 | 0.003 | 0.081 | 0.247 | 0.300 | 0.061 | 0.001 | 0.308 | 1.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 29 | 30 | 32 | 32 | 43 | 30 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.77 | 0.82 | 0.82 | 1.10 | 0.77 | 0.72 |
time (sec) |
N/A | 0.009 | 0.009 | 0.081 | 0.343 | 0.297 | 0.067 | 0.001 | 0.035 | 1.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 40 | 60 | 46 | 73 | 41 | 48 | 44 | 61 |
N.S. | 1 | 1.00 | 0.69 | 1.03 | 0.79 | 1.26 | 0.71 | 0.83 | 0.76 | 1.05 |
time (sec) |
N/A | 0.022 | 0.013 | 0.088 | 0.246 | 0.303 | 0.078 | 0.001 | 0.082 | 1.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 46 | 37 | 33 | 65 | 984 | 55 | 34 | 613 |
N.S. | 1 | 1.00 | 0.88 | 0.71 | 0.63 | 1.25 | 18.92 | 1.06 | 0.65 | 11.79 |
time (sec) |
N/A | 0.015 | 0.040 | 0.112 | 0.327 | 0.309 | 2.086 | 0.001 | 0.471 | 6.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 49 | 46 | 42 | 47 | 165 | 76 | 46 | 138 |
N.S. | 1 | 1.00 | 0.80 | 0.75 | 0.69 | 0.77 | 2.70 | 1.25 | 0.75 | 2.26 |
time (sec) |
N/A | 0.023 | 0.036 | 0.136 | 0.322 | 0.615 | 3.927 | 0.001 | 0.467 | 5.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 15 | 16 | 14 | 15 | 15 | 16 | 24 | 22 |
N.S. | 1 | 1.00 | 0.94 | 1.00 | 0.88 | 0.94 | 0.94 | 1.00 | 1.50 | 1.38 |
time (sec) |
N/A | 0.002 | 0.002 | 0.006 | 0.255 | 0.308 | 0.029 | 0.000 | 0.456 | 1.661 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 36 | 33 | 35 | 49 | 32 | 42 | 35 | 45 |
N.S. | 1 | 1.00 | 0.78 | 0.72 | 0.76 | 1.07 | 0.70 | 0.91 | 0.76 | 0.98 |
time (sec) |
N/A | 0.015 | 0.009 | 0.082 | 0.239 | 0.314 | 0.060 | 0.001 | 0.055 | 1.860 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 23 | 58 | 36 | 36 | 32 | 24 | 36 | 36 |
N.S. | 1 | 1.00 | 0.58 | 1.45 | 0.90 | 0.90 | 0.80 | 0.60 | 0.90 | 0.90 |
time (sec) |
N/A | 0.022 | 0.006 | 0.074 | 0.245 | 0.302 | 0.067 | 0.001 | 0.066 | 1.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 25 | 17 | 19 | 21 | 41 | 34 | 20 | 21 |
N.S. | 1 | 1.00 | 0.93 | 0.63 | 0.70 | 0.78 | 1.52 | 1.26 | 0.74 | 0.78 |
time (sec) |
N/A | 0.007 | 0.014 | 0.079 | 0.241 | 0.313 | 3.964 | 0.001 | 0.378 | 4.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 25 | 22 | 28 | 33 | 82 | 46 | 21 | 21 |
N.S. | 1 | 1.00 | 0.66 | 0.58 | 0.74 | 0.87 | 2.16 | 1.21 | 0.55 | 0.55 |
time (sec) |
N/A | 0.010 | 0.018 | 0.076 | 0.259 | 0.309 | 1.077 | 0.001 | 0.454 | 3.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 24 | 26 | 25 | 34 | 61 | 33 | 99 | 19 |
N.S. | 1 | 1.00 | 0.73 | 0.79 | 0.76 | 1.03 | 1.85 | 1.00 | 3.00 | 0.58 |
time (sec) |
N/A | 0.003 | 0.030 | 0.066 | 0.242 | 0.306 | 0.967 | 0.004 | 0.045 | 3.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 26 | 36 | 51 | 61 | 0 | 41 | 22 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.84 | 1.19 | 1.42 | 0.00 | 0.95 | 0.51 | 0.00 |
time (sec) |
N/A | 0.004 | 0.148 | 0.125 | 0.240 | 0.308 | 0.000 | 0.005 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 28 | 36 | 35 | 40 | 153 | 81 | 24 | 127 |
N.S. | 1 | 1.00 | 0.60 | 0.77 | 0.74 | 0.85 | 3.26 | 1.72 | 0.51 | 2.70 |
time (sec) |
N/A | 0.006 | 0.033 | 0.079 | 0.327 | 0.307 | 1.718 | 0.003 | 0.449 | 3.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 19 | 17 | 16 | 15 | 24 | 34 | 17 | 15 |
N.S. | 1 | 1.00 | 0.68 | 0.61 | 0.57 | 0.54 | 0.86 | 1.21 | 0.61 | 0.54 |
time (sec) |
N/A | 0.003 | 0.012 | 0.056 | 0.244 | 0.306 | 1.150 | 0.001 | 0.272 | 2.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 49 | 47 | 53 | 74 | 49 | 66 | 51 | 65 |
N.S. | 1 | 1.00 | 0.94 | 0.90 | 1.02 | 1.42 | 0.94 | 1.27 | 0.98 | 1.25 |
time (sec) |
N/A | 0.019 | 0.018 | 0.082 | 0.243 | 0.310 | 0.084 | 0.001 | 0.052 | 2.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 0 | 21 | 0 | 0 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.00 | 0.84 | 0.00 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.033 | 6.362 | 0.107 | 0.000 | 0.462 | 0.000 | 0.000 | 0.450 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | F(-2) | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 35 | 121 | 79 | 69 | 0 | 134 | -1 | 0 |
N.S. |
1 | 1.00 | 0.70 | 2.42 | 1.58 | 1.38 | 0.00 | 2.68 | -0.02 | 0.00 |
time (sec) |
N/A | 0.009 | 0.192 | 0.139 | 0.322 | 0.308 | 0.000 | 0.020 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 30 | 22 | 21 | 41 | 49 | 33 | 54 | 21 |
N.S. | 1 | 1.00 | 1.25 | 0.92 | 0.88 | 1.71 | 2.04 | 1.38 | 2.25 | 0.88 |
time (sec) |
N/A | 0.004 | 0.043 | 0.104 | 0.327 | 0.309 | 0.215 | 0.003 | 0.303 | 2.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 46 | 58 | 45 | 45 | 32 | 113 | 33 | 33 |
N.S. | 1 | 1.00 | 1.15 | 1.45 | 1.12 | 1.12 | 0.80 | 2.82 | 0.82 | 0.82 |
time (sec) |
N/A | 0.005 | 0.054 | 0.111 | 0.340 | 0.312 | 0.507 | 0.006 | 0.041 | 2.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 28 | 38 | 37 | 44 | 291 | 43 | 179 | 187 |
N.S. | 1 | 1.00 | 0.57 | 0.78 | 0.76 | 0.90 | 5.94 | 0.88 | 3.65 | 3.82 |
time (sec) |
N/A | 0.005 | 0.165 | 0.076 | 0.241 | 0.306 | 3.786 | 0.007 | 0.276 | 6.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 31 | 40 | 59 | 47 | 0 | 48 | 29 | 0 |
N.S. |
1 | 1.00 | 0.66 | 0.85 | 1.26 | 1.00 | 0.00 | 1.02 | 0.62 | 0.00 |
time (sec) |
N/A | 0.004 | 0.141 | 0.155 | 0.254 | 0.319 | 0.000 | 0.007 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 33 | 32 | 32 | 34 | 40 | 32 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.89 | 0.89 | 0.94 | 1.11 | 0.89 | 0.92 |
time (sec) |
N/A | 0.007 | 0.001 | 0.123 | 0.237 | 0.303 | 0.029 | 0.001 | 0.033 | 1.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 30 | 29 | 29 | 34 | 40 | 29 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.74 | 0.74 | 0.87 | 1.03 | 0.74 | 0.72 |
time (sec) |
N/A | 0.009 | 0.001 | 0.104 | 0.255 | 0.295 | 0.031 | 0.001 | 0.029 | 1.650 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 54 | 59 | 73 | 0 | 54 | 29 | 0 |
N.S. |
1 | 1.00 | 0.70 | 1.15 | 1.26 | 1.55 | 0.00 | 1.15 | 0.62 | 0.00 |
time (sec) |
N/A | 0.006 | 0.203 | 0.176 | 0.252 | 0.313 | 0.000 | 0.009 | 0.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 33 | 86 | 76 | 73 | 0 | 55 | 29 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.91 | 1.69 | 1.62 | 0.00 | 1.22 | 0.64 | 0.00 |
time (sec) |
N/A | 0.013 | 0.351 | 0.145 | 0.241 | 0.313 | 0.000 | 0.011 | 0.187 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 67 | 70 | 55 | 57 | 112 | 72 | 69 | 66 |
N.S. | 1 | 1.00 | 0.81 | 0.84 | 0.66 | 0.69 | 1.35 | 0.87 | 0.83 | 0.80 |
time (sec) |
N/A | 0.056 | 0.038 | 0.136 | 0.242 | 0.325 | 0.518 | 0.001 | 0.396 | 2.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 51 | 57 | 49 | 52 | 92 | 60 | 59 | 59 |
N.S. | 1 | 1.00 | 0.70 | 0.78 | 0.67 | 0.71 | 1.26 | 0.82 | 0.81 | 0.81 |
time (sec) |
N/A | 0.050 | 0.065 | 0.124 | 0.254 | 0.321 | 0.343 | 0.001 | 0.335 | 2.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 70 | 96 | 66 | 72 | 192 | 85 | 88 | 122 |
N.S. | 1 | 1.00 | 0.67 | 0.91 | 0.63 | 0.69 | 1.83 | 0.81 | 0.84 | 1.16 |
time (sec) |
N/A | 0.064 | 0.056 | 0.168 | 0.246 | 0.318 | 0.757 | 0.001 | 0.398 | 3.482 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 39 | 32 | 35 | 36 | 53 | 45 | 40 | 34 |
N.S. | 1 | 1.00 | 0.89 | 0.73 | 0.80 | 0.82 | 1.20 | 1.02 | 0.91 | 0.77 |
time (sec) |
N/A | 0.025 | 0.083 | 0.102 | 0.241 | 0.324 | 0.235 | 0.001 | 0.075 | 2.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F(-2) | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 60 | 0 | 45 | 507 | 89 | 56 | 67 |
N.S. |
1 | 1.00 | 1.00 | 1.82 | 0.00 | 1.36 | 15.36 | 2.70 | 1.70 | 2.03 |
time (sec) |
N/A | 0.030 | 0.022 | 0.150 | 0.000 | 0.342 | 0.815 | 0.010 | 0.492 | 8.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 104 | 30 | 619 | 47 | 551 | 391 | 35 | 171 |
N.S. | 1 | 1.00 | 3.47 | 1.00 | 20.63 | 1.57 | 18.37 | 13.03 | 1.17 | 5.70 |
time (sec) |
N/A | 0.028 | 0.082 | 0.200 | 0.355 | 0.323 | 0.729 | 0.095 | 0.496 | 9.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 132 | 15 | 128 | 61 | 16 | 61 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 8.25 | 0.94 | 8.00 | 3.81 | 1.00 | 3.81 |
time (sec) |
N/A | 0.011 | 0.012 | 0.095 | 0.252 | 0.314 | 0.463 | 0.005 | 0.352 | 4.119 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 57 | 57 | 66 | 113 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.92 | 1.06 | 1.82 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.042 | 0.013 | 0.082 | 0.332 | 0.340 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 54 | 59 | 210 | 138 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.92 | 1.00 | 3.56 | 2.34 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.037 | 0.011 | 0.274 | 0.340 | 0.357 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | A | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 44 | 78 | 13 | 0 | 10 | -1 | 0 |
N.S. |
1 | 1.00 | 1.17 | 3.67 | 6.50 | 1.08 | 0.00 | 0.83 | -0.08 | 0.00 |
time (sec) |
N/A | 0.069 | 0.154 | 0.869 | 0.337 | 0.331 | 0.000 | 0.006 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | A | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 19 | 29 | 69 | 19 | 66 | 13 | -1 | 86 |
N.S. | 1 | 1.00 | 0.95 | 1.45 | 3.45 | 0.95 | 3.30 | 0.65 | -0.05 | 4.30 |
time (sec) |
N/A | 0.022 | 0.148 | 0.250 | 0.243 | 0.319 | 0.792 | 0.004 | 0.000 | 3.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 23 | 0 | 22 | 42 | 319 | 22 | 51 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.00 | 1.91 | 14.50 | 1.00 | 2.32 |
time (sec) |
N/A | 0.016 | 0.018 | 0.033 | 0.000 | 0.316 | 0.320 | 0.005 | 0.327 | 1.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F(-2) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 41 | 46 | 42 | 0 | 52 | 0 | 0 | 34 | 0 |
N.S. |
1 | 1.21 | 1.35 | 1.24 | 0.00 | 1.53 | 0.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.134 | 0.042 | 0.042 | 0.000 | 0.312 | 0.000 | 0.000 | 0.493 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 8 | 7 | 11 | 7 | 6 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.78 | 1.22 | 0.78 | 0.67 | 0.44 | 0.44 |
time (sec) |
N/A | 0.002 | 0.006 | 0.013 | 0.258 | 0.316 | 0.049 | 0.000 | 0.051 | 1.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 19 | 16 | 21 | 17 | 28 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.73 | 0.95 | 0.77 | 1.27 | 0.36 | 0.36 |
time (sec) |
N/A | 0.011 | 0.008 | 0.019 | 0.239 | 0.302 | 0.058 | 0.001 | 0.056 | 1.710 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 30 | 24 | 23 | 24 | 24 | 30 | 23 | 11 |
N.S. | 1 | 1.00 | 0.97 | 0.77 | 0.74 | 0.77 | 0.77 | 0.97 | 0.74 | 0.35 |
time (sec) |
N/A | 0.012 | 0.022 | 0.027 | 0.246 | 0.593 | 0.098 | 0.001 | 0.307 | 1.784 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 37 | 31 | 28 | 31 | 31 | 42 | 28 | 16 |
N.S. | 1 | 1.00 | 1.03 | 0.86 | 0.78 | 0.86 | 0.86 | 1.17 | 0.78 | 0.44 |
time (sec) |
N/A | 0.016 | 0.036 | 0.026 | 0.240 | 0.306 | 0.079 | 0.001 | 0.344 | 1.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 52 | 45 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.08 | 0.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.030 | 0.051 | 0.007 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 34 | 44 | 41 | 39 | 53 | 49 | 41 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.02 | 0.95 | 0.91 | 1.23 | 1.14 | 0.95 | 0.00 |
time (sec) |
N/A | 0.018 | 0.056 | 0.034 | 0.239 | 0.307 | 0.135 | 0.011 | 0.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 28 | 27 | 26 | 29 | 23 | 26 | 91 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 0.96 | 1.07 | 0.85 | 0.96 | 3.37 |
time (sec) |
N/A | 0.008 | 0.010 | 0.025 | 0.244 | 0.304 | 0.075 | 0.001 | 0.362 | 2.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 55 | 51 | 62 | 250 | 677 | 68 | 277 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 0.96 | 1.17 | 4.72 | 12.77 | 1.28 | 5.23 |
time (sec) |
N/A | 0.052 | 0.041 | 0.039 | 0.244 | 0.318 | 0.524 | 0.015 | 0.384 | 2.697 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 65 | 84 | 77 | 130 | 665 | 1035 | 81 | 636 |
N.S. | 1 | 1.00 | 0.82 | 1.06 | 0.97 | 1.65 | 8.42 | 13.10 | 1.03 | 8.05 |
time (sec) |
N/A | 0.071 | 0.070 | 0.059 | 0.252 | 0.305 | 2.719 | 0.017 | 0.390 | 5.302 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 80 | 109 | 99 | 205 | 1350 | 1361 | 106 | 1211 |
N.S. | 1 | 1.00 | 0.82 | 1.11 | 1.01 | 2.09 | 13.78 | 13.89 | 1.08 | 12.36 |
time (sec) |
N/A | 0.083 | 0.073 | 0.043 | 0.247 | 0.319 | 21.807 | 0.021 | 0.419 | 23.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 80 | 73 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.11 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.059 | 0.029 | 0.031 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 29 | 28 | 28 | 29 | 24 | 27 | 93 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.00 | 1.04 | 0.86 | 0.96 | 3.32 |
time (sec) |
N/A | 0.007 | 0.006 | 0.019 | 0.242 | 0.316 | 0.073 | 0.000 | 0.310 | 2.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 55 | 51 | 64 | 248 | 677 | 69 | 275 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 0.96 | 1.21 | 4.68 | 12.77 | 1.30 | 5.19 |
time (sec) |
N/A | 0.049 | 0.039 | 0.030 | 0.255 | 0.334 | 0.525 | 0.011 | 0.365 | 2.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 66 | 84 | 77 | 131 | 663 | 1035 | 81 | 633 |
N.S. | 1 | 1.00 | 0.84 | 1.06 | 0.97 | 1.66 | 8.39 | 13.10 | 1.03 | 8.01 |
time (sec) |
N/A | 0.059 | 0.064 | 0.045 | 0.245 | 0.307 | 2.714 | 0.015 | 0.364 | 5.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 80 | 109 | 99 | 207 | 1348 | 1361 | 106 | 1209 |
N.S. | 1 | 1.00 | 0.82 | 1.11 | 1.01 | 2.11 | 13.76 | 13.89 | 1.08 | 12.34 |
time (sec) |
N/A | 0.071 | 0.066 | 0.033 | 0.246 | 0.315 | 21.989 | 0.019 | 0.350 | 23.885 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 82 | 75 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.11 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.041 | 0.028 | 0.035 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 15 | 19 | 15 | 13 | 15 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.27 | 1.00 | 0.87 | 1.00 | 1.93 |
time (sec) |
N/A | 0.004 | 0.006 | 0.018 | 0.243 | 0.321 | 0.046 | 0.000 | 0.319 | 1.896 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 35 | 32 | 31 | 29 | 44 | 30 | 26 | 46 |
N.S. | 1 | 1.00 | 1.06 | 0.97 | 0.94 | 0.88 | 1.33 | 0.91 | 0.79 | 1.39 |
time (sec) |
N/A | 0.009 | 0.015 | 0.019 | 0.243 | 0.308 | 0.062 | 0.001 | 0.318 | 2.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 45 | 41 | 46 | 39 | 70 | 41 | 34 | 56 |
N.S. | 1 | 1.00 | 0.90 | 0.82 | 0.92 | 0.78 | 1.40 | 0.82 | 0.68 | 1.12 |
time (sec) |
N/A | 0.011 | 0.019 | 0.022 | 0.243 | 0.313 | 0.075 | 0.001 | 0.326 | 2.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 53 | 50 | 61 | 47 | 87 | 50 | 42 | 64 |
N.S. | 1 | 1.00 | 0.82 | 0.77 | 0.94 | 0.72 | 1.34 | 0.77 | 0.65 | 0.98 |
time (sec) |
N/A | 0.013 | 0.020 | 0.025 | 0.239 | 0.302 | 0.084 | 0.002 | 0.330 | 2.842 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 0 | 0 | 0 | 0 | 0 | 55 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.38 | 0.00 |
time (sec) |
N/A | 0.014 | 0.036 | 0.012 | 0.000 | 0.306 | 0.000 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 17 | 16 | 21 | 19 | 14 | 16 | 28 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.31 | 1.19 | 0.88 | 1.00 | 1.75 |
time (sec) |
N/A | 0.003 | 0.004 | 0.017 | 0.237 | 0.329 | 0.048 | 0.000 | 0.297 | 1.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 35 | 32 | 31 | 29 | 44 | 31 | 27 | 44 |
N.S. | 1 | 1.00 | 1.06 | 0.97 | 0.94 | 0.88 | 1.33 | 0.94 | 0.82 | 1.33 |
time (sec) |
N/A | 0.009 | 0.016 | 0.019 | 0.245 | 0.308 | 0.064 | 0.001 | 0.303 | 2.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 45 | 41 | 46 | 39 | 70 | 43 | 35 | 54 |
N.S. | 1 | 1.00 | 0.90 | 0.82 | 0.92 | 0.78 | 1.40 | 0.86 | 0.70 | 1.08 |
time (sec) |
N/A | 0.011 | 0.019 | 0.023 | 0.246 | 0.310 | 0.078 | 0.001 | 0.316 | 2.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 53 | 50 | 61 | 47 | 87 | 52 | 43 | 62 |
N.S. | 1 | 1.00 | 0.82 | 0.77 | 0.94 | 0.72 | 1.34 | 0.80 | 0.66 | 0.95 |
time (sec) |
N/A | 0.013 | 0.020 | 0.041 | 0.262 | 0.307 | 0.090 | 0.002 | 0.311 | 2.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 0 | 0 | 0 | 57 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.30 | 0.00 |
time (sec) |
N/A | 0.013 | 0.036 | 0.015 | 0.000 | 0.313 | 0.000 | 0.000 | 0.316 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 38 | 29 | 23 | 22 | 15 | 26 | 22 | 25 |
N.S. | 1 | 1.00 | 1.58 | 1.21 | 0.96 | 0.92 | 0.62 | 1.08 | 0.92 | 1.04 |
time (sec) |
N/A | 0.011 | 0.018 | 0.016 | 0.241 | 0.308 | 0.065 | 0.001 | 0.331 | 1.808 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 123 | 97 | 95 | 100 | 311 | 22 | 142 | 104 | 28 |
N.S. | 1 | 1.23 | 0.97 | 0.95 | 1.00 | 3.11 | 0.22 | 1.42 | 1.04 | 0.28 |
time (sec) |
N/A | 0.062 | 0.076 | 0.033 | 0.331 | 0.327 | 0.096 | 0.002 | 1.512 | 1.911 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 15 | 14 | 11 | 11 | 8 | 10 | 11 | 12 |
N.S. | 1 | 1.00 | 1.25 | 1.17 | 0.92 | 0.92 | 0.67 | 0.83 | 0.92 | 1.00 |
time (sec) |
N/A | 0.014 | 0.012 | 0.014 | 0.247 | 0.315 | 0.041 | 0.001 | 0.049 | 1.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 45 | 38 | 37 | 39 | 22 | 50 | 39 | 30 |
N.S. | 1 | 1.00 | 0.96 | 0.81 | 0.79 | 0.83 | 0.47 | 1.06 | 0.83 | 0.64 |
time (sec) |
N/A | 0.036 | 0.039 | 0.025 | 0.339 | 0.307 | 0.076 | 0.001 | 0.325 | 1.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 37 | 29 | 28 | 28 | 48 | 31 | 28 | 51 |
N.S. | 1 | 1.00 | 0.95 | 0.74 | 0.72 | 0.72 | 1.23 | 0.79 | 0.72 | 1.31 |
time (sec) |
N/A | 0.038 | 0.044 | 0.046 | 0.330 | 0.380 | 0.108 | 0.001 | 0.088 | 2.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 33 | 32 | 37 | 94 | 27 | 29 | 144 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.07 | 1.23 | 3.13 | 0.90 | 0.97 | 4.80 |
time (sec) |
N/A | 0.024 | 0.058 | 0.026 | 0.249 | 0.316 | 0.486 | 0.003 | 0.355 | 2.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 57 | 56 | 56 | 0 | 79 | 33 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.04 | 1.04 | 0.00 | 1.46 | 0.61 | 0.00 |
time (sec) |
N/A | 0.014 | 0.029 | 0.049 | 0.345 | 0.307 | 0.000 | 0.003 | 0.347 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 59 | 0 | 0 | 0 | 0 | 0 | 75 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.27 | 0.00 |
time (sec) |
N/A | 0.021 | 0.034 | 0.012 | 0.000 | 0.324 | 0.000 | 0.000 | 0.404 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 7 | 18 | 31 | 18 | 14 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.39 | 1.00 | 1.72 | 1.00 | 0.78 | 2.06 |
time (sec) |
N/A | 0.017 | 0.026 | 0.024 | 0.243 | 0.309 | 0.365 | 0.001 | 0.406 | 1.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 17 | 20 | 20 | 31 | 19 | 16 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 1.00 | 1.00 | 1.55 | 0.95 | 0.80 | 1.85 |
time (sec) |
N/A | 0.018 | 0.028 | 0.023 | 0.248 | 0.521 | 0.380 | 0.002 | 0.409 | 1.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 42 | 0 | 39 | 46 | 0 | 76 | -1 | 0 |
N.S. |
1 | 1.00 | 1.05 | 0.00 | 0.98 | 1.15 | 0.00 | 1.90 | -0.02 | 0.00 |
time (sec) |
N/A | 0.063 | 0.112 | 0.011 | 0.329 | 0.305 | 0.000 | 0.013 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 57 | 54 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.54 | 1.46 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.032 | 0.032 | 0.006 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 44 | 37 | 49 | 30 | 0 | 93 | 30 | 0 |
N.S. |
1 | 1.00 | 0.60 | 0.51 | 0.67 | 0.41 | 0.00 | 1.27 | 0.41 | 0.00 |
time (sec) |
N/A | 0.030 | 0.036 | 0.020 | 0.239 | 0.304 | 0.000 | 0.001 | 0.106 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 23 | 41 | 19 | 19 | 20 | 32 | 21 | 22 |
N.S. | 1 | 1.00 | 0.52 | 0.93 | 0.43 | 0.43 | 0.45 | 0.73 | 0.48 | 0.50 |
time (sec) |
N/A | 0.021 | 0.014 | 0.019 | 0.240 | 0.309 | 0.045 | 0.000 | 0.028 | 1.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 26 | 31 | 7 | 23 | 32 | 42 | 22 | 31 |
N.S. | 1 | 1.00 | 0.67 | 0.79 | 0.18 | 0.59 | 0.82 | 1.08 | 0.56 | 0.79 |
time (sec) |
N/A | 0.021 | 0.021 | 0.044 | 0.267 | 0.489 | 0.688 | 0.001 | 0.272 | 2.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 29 | 28 | 27 | 27 | 37 | 1076 | 27 | 41 |
N.S. | 1 | 1.00 | 0.66 | 0.64 | 0.61 | 0.61 | 0.84 | 24.45 | 0.61 | 0.93 |
time (sec) |
N/A | 0.013 | 0.015 | 0.021 | 0.246 | 0.308 | 0.060 | 0.003 | 0.059 | 1.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 10 | 18 | 9 | 8 | 18 | 9 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 1.50 | 0.75 | 0.67 | 1.50 | 0.75 | 0.83 |
time (sec) |
N/A | 0.029 | 0.019 | 0.021 | 0.247 | 0.306 | 0.046 | 0.001 | 0.049 | 1.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 31 | 26 | 25 | 33 | 24 | 39 | 26 | 40 |
N.S. | 1 | 1.00 | 0.97 | 0.81 | 0.78 | 1.03 | 0.75 | 1.22 | 0.81 | 1.25 |
time (sec) |
N/A | 0.033 | 0.038 | 0.027 | 0.336 | 0.306 | 0.063 | 0.001 | 0.327 | 1.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 20 | 21 | 12 | 0 | 0 | 12 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 1.40 | 0.80 | 0.00 | 0.00 | 0.80 | 0.00 |
time (sec) |
N/A | 0.035 | 0.166 | 0.092 | 0.277 | 0.307 | 0.000 | 0.000 | 0.448 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 24 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.89 | 0.70 | 0.74 |
time (sec) |
N/A | 0.006 | 0.021 | 0.036 | 0.241 | 0.339 | 0.196 | 0.001 | 0.028 | 1.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 26 | 22 | 39 | 21 | 29 | 56 | 19 | 18 |
N.S. | 1 | 1.00 | 0.74 | 0.63 | 1.11 | 0.60 | 0.83 | 1.60 | 0.54 | 0.51 |
time (sec) |
N/A | 0.070 | 0.043 | 0.061 | 0.247 | 0.305 | 0.271 | 0.002 | 0.104 | 1.844 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | F(-2) | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 37 | 37 | 31 | 0 | 70 | 0 | 33 | 30 |
N.S. |
1 | 1.00 | 0.65 | 0.65 | 0.54 | 0.00 | 1.23 | 0.00 | 0.58 | 0.53 |
time (sec) |
N/A | 0.018 | 0.047 | 0.053 | 0.329 | 0.000 | 0.570 | 0.000 | 0.037 | 2.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 39 | 45 | 45 | 37 | 265 | 45 | 37 | 178 |
N.S. | 1 | 1.00 | 0.72 | 0.83 | 0.83 | 0.69 | 4.91 | 0.83 | 0.69 | 3.30 |
time (sec) |
N/A | 0.015 | 0.024 | 0.067 | 0.245 | 0.315 | 0.445 | 0.001 | 0.052 | 3.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 64 | 68 | 73 | 65 | 638 | 71 | 47 | 342 |
N.S. | 1 | 1.00 | 0.78 | 0.83 | 0.89 | 0.79 | 7.78 | 0.87 | 0.57 | 4.17 |
time (sec) |
N/A | 0.024 | 0.122 | 0.095 | 0.249 | 0.316 | 1.394 | 0.001 | 0.058 | 6.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 36 | 38 | 27 | 42 | 76 | 49 | 39 | 28 |
N.S. | 1 | 1.00 | 0.46 | 0.48 | 0.34 | 0.53 | 0.96 | 0.62 | 0.49 | 0.35 |
time (sec) |
N/A | 0.028 | 0.030 | 0.093 | 0.249 | 0.315 | 0.536 | 0.002 | 0.296 | 2.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 21 | 28 | 27 | 40 | 70 | 30 | 18 | 46 |
N.S. | 1 | 1.00 | 0.58 | 0.78 | 0.75 | 1.11 | 1.94 | 0.83 | 0.50 | 1.28 |
time (sec) |
N/A | 0.027 | 0.025 | 0.044 | 0.243 | 0.315 | 0.738 | 0.001 | 0.412 | 2.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 21 | 63 | 27 | 50 | 99 | 34 | 18 | 21 |
N.S. | 1 | 1.00 | 0.58 | 1.75 | 0.75 | 1.39 | 2.75 | 0.94 | 0.50 | 0.58 |
time (sec) |
N/A | 0.027 | 0.028 | 0.061 | 0.248 | 0.312 | 0.732 | 0.001 | 0.394 | 2.970 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 85 | 97 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.47 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.048 | 0.173 | 0.006 | 0.000 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 90 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 2.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.012 | 0.142 | 0.026 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 77 | 66 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.51 | 1.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.023 | 0.036 | 0.062 | 0.000 | 0.313 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.021 | 0.008 | 0.014 | 0.000 | 0.325 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 84 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 3.23 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 | 0.00 |
time (sec) |
N/A | 0.020 | 0.054 | 0.022 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 61 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.021 | 0.415 | 0.018 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 61 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 2.03 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.022 | 0.442 | 0.036 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 11 | 21 | 22 | 12 | 0 | 10 | 8 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.40 | 1.47 | 0.80 | 0.00 | 0.67 | 0.53 | 0.00 |
time (sec) |
N/A | 0.019 | 0.152 | 0.066 | 0.292 | 0.304 | 0.000 | 0.005 | 0.387 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 45 | 100 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.10 | 2.44 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.070 | 0.151 | 0.049 | 0.000 | 0.304 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 10 | 8 | 22 | 11 | 0 | 8 | 7 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.67 | 1.83 | 0.92 | 0.00 | 0.67 | 0.58 | 0.00 |
time (sec) |
N/A | 0.017 | 0.128 | 0.051 | 0.298 | 0.311 | 0.000 | 0.003 | 0.366 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 44 | 87 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.05 | 2.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.068 | 0.153 | 0.053 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 48 | 72 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.04 | 1.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.078 | 0.495 | 0.062 | 0.000 | 0.309 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 23 | 21 | 22 | 24 | 0 | 22 | 24 | 0 |
N.S. |
1 | 1.00 | 1.64 | 1.50 | 1.57 | 1.71 | 0.00 | 1.57 | 1.71 | 0.00 |
time (sec) |
N/A | 0.014 | 0.050 | 0.098 | 0.296 | 0.310 | 0.000 | 0.005 | 0.374 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 47 | 73 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.09 | 1.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.076 | 0.132 | 0.051 | 0.000 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 23 | 21 | 22 | 24 | 0 | 21 | 20 | 0 |
N.S. |
1 | 1.00 | 1.77 | 1.62 | 1.69 | 1.85 | 0.00 | 1.62 | 1.54 | 0.00 |
time (sec) |
N/A | 0.014 | 0.043 | 0.083 | 0.298 | 0.310 | 0.000 | 0.005 | 0.424 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 18 | 20 | 17 | 17 | 27 | 18 | 17 | 21 |
N.S. | 1 | 1.00 | 0.60 | 0.67 | 0.57 | 0.57 | 0.90 | 0.60 | 0.57 | 0.70 |
time (sec) |
N/A | 0.022 | 0.019 | 0.020 | 0.245 | 0.315 | 0.190 | 0.000 | 0.066 | 1.856 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 25 | 27 | 26 | 26 | 48 | 59 | 21 | 44 |
N.S. | 1 | 1.00 | 0.50 | 0.54 | 0.52 | 0.52 | 0.96 | 1.18 | 0.42 | 0.88 |
time (sec) |
N/A | 0.064 | 0.028 | 0.044 | 0.245 | 0.301 | 0.364 | 0.001 | 0.327 | 2.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 38 | 36 | 33 | 37 | 80 | 74 | 39 | 40 |
N.S. | 1 | 1.00 | 0.51 | 0.48 | 0.44 | 0.49 | 1.07 | 0.99 | 0.52 | 0.53 |
time (sec) |
N/A | 0.087 | 0.025 | 0.048 | 0.249 | 0.308 | 0.465 | 0.000 | 0.107 | 2.257 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 253 | 72 | 78 | 77 | 72 | 202 | 185 | 83 | 90 |
N.S. | 1 | 1.35 | 0.39 | 0.42 | 0.41 | 0.39 | 1.08 | 0.99 | 0.44 | 0.48 |
time (sec) |
N/A | 0.294 | 0.100 | 0.114 | 0.255 | 0.339 | 1.413 | 0.002 | 0.313 | 4.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 40 | 40 | 41 | 41 | 85 | 89 | 51 | 52 |
N.S. | 1 | 1.00 | 0.46 | 0.46 | 0.47 | 0.47 | 0.98 | 1.02 | 0.59 | 0.60 |
time (sec) |
N/A | 0.099 | 0.054 | 0.046 | 0.271 | 0.313 | 0.369 | 0.001 | 0.353 | 2.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 76 | 78 | 77 | 72 | 202 | 177 | 83 | 90 |
N.S. | 1 | 1.00 | 0.41 | 0.42 | 0.42 | 0.39 | 1.09 | 0.96 | 0.45 | 0.49 |
time (sec) |
N/A | 0.211 | 0.141 | 0.079 | 0.256 | 0.313 | 1.403 | 0.001 | 0.527 | 4.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 10 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 5.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.003 | 0.011 | 0.241 | 0.299 | 0.059 | 0.000 | 0.016 | 1.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 9 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 4.50 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.013 | 0.238 | 0.298 | 0.059 | 0.000 | 0.018 | 1.495 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 3 | 18 | 7 | 10 | 3 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 6.00 | 2.33 | 3.33 | 1.00 | 3.00 |
time (sec) |
N/A | 0.002 | 0.003 | 0.009 | 0.248 | 0.310 | 0.061 | 0.001 | 0.020 | 1.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 3 | 18 | 12 | 11 | 3 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 6.00 | 4.00 | 3.67 | 1.00 | 4.00 |
time (sec) |
N/A | 0.002 | 0.003 | 0.009 | 0.238 | 0.322 | 0.157 | 0.001 | 0.027 | 1.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | F | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 9 | 4 | 3 | 8 | 0 | 5 | 5 | 7 |
N.S. | 1 | 1.00 | 3.00 | 1.33 | 1.00 | 2.67 | 0.00 | 1.67 | 1.67 | 2.33 |
time (sec) |
N/A | 0.002 | 0.003 | 0.013 | 0.243 | 0.310 | 0.000 | 0.000 | 0.022 | 1.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 7 | 6 | 5 | 17 | 0 | 21 | 5 | 5 |
N.S. | 1 | 1.00 | 1.40 | 1.20 | 1.00 | 3.40 | 0.00 | 4.20 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.004 | 0.010 | 0.242 | 0.302 | 0.000 | 0.000 | 0.011 | 1.629 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 16 | 10 | 24 | 31 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 1.14 | 0.71 | 1.71 | 2.21 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.002 | 0.018 | 0.251 | 0.332 | 0.081 | 0.001 | 0.026 | 1.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 23 | 18 | 35 | 42 | 29 | 47 | 15 | 18 |
N.S. | 1 | 1.00 | 1.21 | 0.95 | 1.84 | 2.21 | 1.53 | 2.47 | 0.79 | 0.95 |
time (sec) |
N/A | 0.007 | 0.002 | 0.084 | 0.238 | 0.311 | 0.229 | 0.001 | 0.026 | 2.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 18 | 26 | 38 | 68 | 10 | 30 | 12 | 12 |
N.S. | 1 | 1.00 | 1.29 | 1.86 | 2.71 | 4.86 | 0.71 | 2.14 | 0.86 | 0.86 |
time (sec) |
N/A | 0.006 | 0.003 | 0.016 | 0.251 | 0.313 | 0.089 | 0.001 | 0.066 | 1.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | F | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 36 | 11 | 45 | 211 | 0 | 47 | 16 | 24 |
N.S. | 1 | 1.00 | 2.25 | 0.69 | 2.81 | 13.19 | 0.00 | 2.94 | 1.00 | 1.50 |
time (sec) |
N/A | 0.007 | 0.004 | 0.084 | 0.238 | 0.315 | 0.000 | 0.002 | 0.290 | 2.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 30 | 21 | 61 | 461 | 422 | 63 | 22 | 112 |
N.S. | 1 | 1.00 | 1.15 | 0.81 | 2.35 | 17.73 | 16.23 | 2.42 | 0.85 | 4.31 |
time (sec) |
N/A | 0.011 | 0.004 | 0.098 | 0.339 | 0.306 | 1.382 | 0.004 | 0.078 | 9.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 17 | 35 | 257 | 0 | 50 | 35 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.94 | 14.28 | 0.00 | 2.78 | 1.94 | 0.00 |
time (sec) |
N/A | 0.014 | 0.006 | 0.026 | 0.337 | 0.321 | 0.000 | 0.003 | 0.357 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 0 | 0 | 359 | 41 | 0 | 120 | 0 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 11.58 | 1.32 | 0.00 | 3.87 | 0.00 |
time (sec) |
N/A | 0.019 | 0.035 | 0.071 | 0.000 | 0.313 | 45.537 | 0.000 | 0.165 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 42 | 41 | 36 | 0 | 175 | 126 | 36 | 43 | 205 |
N.S. |
1 | 1.02 | 1.00 | 0.88 | 0.00 | 4.27 | 3.07 | 0.88 | 1.05 | 5.00 |
time (sec) |
N/A | 0.031 | 0.023 | 0.042 | 0.000 | 0.320 | 1.977 | 0.001 | 0.163 | 3.653 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 16 | 16 | 49 | 58 | 14 | 18 | 14 | 15 |
N.S. | 1 | 1.00 | 0.64 | 0.64 | 1.96 | 2.32 | 0.56 | 0.72 | 0.56 | 0.60 |
time (sec) |
N/A | 0.012 | 0.009 | 0.023 | 0.255 | 0.298 | 0.185 | 0.001 | 0.288 | 1.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 29 | 55 | 41 | 42 | 146 | 42 | 35 | 150 |
N.S. | 1 | 1.00 | 0.74 | 1.41 | 1.05 | 1.08 | 3.74 | 1.08 | 0.90 | 3.85 |
time (sec) |
N/A | 0.029 | 0.046 | 0.031 | 0.241 | 0.313 | 0.288 | 0.001 | 0.132 | 4.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 98 | 76 | 288 | 1149 | 92 | 109 | 1298 |
N.S. | 1 | 1.00 | 1.00 | 3.16 | 2.45 | 9.29 | 37.06 | 2.97 | 3.52 | 41.87 |
time (sec) |
N/A | 0.022 | 0.044 | 0.092 | 0.334 | 0.318 | 16.944 | 0.002 | 0.652 | 21.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F(-2) | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 74 | 0 | 388 | 874 | 54 | 106 | 1175 |
N.S. |
1 | 1.00 | 1.00 | 2.11 | 0.00 | 11.09 | 24.97 | 1.54 | 3.03 | 33.57 |
time (sec) |
N/A | 0.023 | 0.031 | 0.070 | 0.000 | 0.325 | 16.062 | 0.001 | 0.381 | 20.189 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 24 | 55 | 69 | 113 | 908 | 59 | 63 | 359 |
N.S. | 1 | 1.00 | 0.96 | 2.20 | 2.76 | 4.52 | 36.32 | 2.36 | 2.52 | 14.36 |
time (sec) |
N/A | 0.011 | 0.074 | 0.056 | 0.345 | 0.314 | 2.767 | 0.002 | 0.400 | 30.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 37 | 78 | 70 | 74 | 102 | 32 | 22 | 50 |
N.S. | 1 | 1.00 | 1.12 | 2.36 | 2.12 | 2.24 | 3.09 | 0.97 | 0.67 | 1.52 |
time (sec) |
N/A | 0.091 | 0.092 | 0.132 | 0.349 | 0.313 | 0.570 | 0.003 | 0.370 | 3.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 23 | 42 | 44 | 114 | 66 | 40 | 66 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 1.40 | 1.47 | 3.80 | 2.20 | 1.33 | 2.20 |
time (sec) |
N/A | 0.021 | 0.013 | 0.080 | 0.242 | 0.309 | 1.353 | 0.001 | 0.403 | 4.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 23 | 42 | 111 | 138 | 88 | 40 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 1.40 | 3.70 | 4.60 | 2.93 | 1.33 | 1.33 |
time (sec) |
N/A | 0.020 | 0.012 | 0.133 | 0.240 | 0.307 | 1.289 | 0.001 | 0.416 | 4.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | C | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 102 | 160 | 987 | 0 | 376 | 0 | 160 | -1 | 0 |
N.S. |
1 | 1.48 | 2.32 | 14.30 | 0.00 | 5.45 | 0.00 | 2.32 | -0.01 | 0.00 |
time (sec) |
N/A | 0.619 | 2.105 | 0.315 | 0.000 | 0.330 | 0.000 | 0.028 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 26 | 30 | 125 | 474 | 0 | 67 | 57 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.81 | 3.38 | 12.81 | 0.00 | 1.81 | 1.54 | 0.00 |
time (sec) |
N/A | 0.030 | 0.043 | 0.035 | 0.263 | 0.327 | 0.000 | 0.022 | 0.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | B | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 21 | 28 | 177 | 161 | 0 | 0 | 47 | 0 |
N.S. |
1 | 1.00 | 0.72 | 0.97 | 6.10 | 5.55 | 0.00 | 0.00 | 1.62 | 0.00 |
time (sec) |
N/A | 0.065 | 0.035 | 0.108 | 0.375 | 0.318 | 0.000 | 0.000 | 0.486 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | B | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 63 | 0 | 482 | 0 | 75 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.20 | 0.00 | 32.13 | 0.00 | 5.00 | -0.07 | 0.00 |
time (sec) |
N/A | 0.011 | 0.009 | 0.170 | 0.000 | 0.392 | 0.000 | 0.007 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 28 | 49 | 93 | 17 | 52 | 21 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.75 | 3.06 | 5.81 | 1.06 | 3.25 | 1.31 | 1.19 |
time (sec) |
N/A | 0.011 | 0.014 | 0.017 | 0.379 | 0.318 | 0.079 | 0.003 | 0.312 | 1.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 28 | 53 | 95 | 22 | 54 | 27 | 24 |
N.S. | 1 | 1.00 | 1.00 | 1.75 | 3.31 | 5.94 | 1.38 | 3.38 | 1.69 | 1.50 |
time (sec) |
N/A | 0.011 | 0.014 | 0.028 | 0.280 | 0.315 | 0.331 | 0.002 | 0.293 | 2.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 23 | 16 | 13 | 20 | 26 | 20 | 16 | 9 |
N.S. | 1 | 1.00 | 1.15 | 0.80 | 0.65 | 1.00 | 1.30 | 1.00 | 0.80 | 0.45 |
time (sec) |
N/A | 0.041 | 0.053 | 0.194 | 0.250 | 0.302 | 0.218 | 0.001 | 0.061 | 2.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 20 | 16 | 35 | 20 | 12 | 13 | 17 | 14 |
N.S. | 1 | 1.00 | 1.33 | 1.07 | 2.33 | 1.33 | 0.80 | 0.87 | 1.13 | 0.93 |
time (sec) |
N/A | 0.084 | 0.047 | 0.053 | 0.246 | 0.311 | 0.175 | 0.001 | 0.286 | 1.798 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 20 | 22 | 75 | 0 | 28 | 24 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.10 | 3.75 | 0.00 | 1.40 | 1.20 | 0.00 |
time (sec) |
N/A | 0.012 | 0.008 | 0.152 | 0.266 | 0.304 | 0.000 | 0.003 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 22 | 75 | 102 | 0 | 14 | 19 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.69 | 5.77 | 7.85 | 0.00 | 1.08 | 1.46 | 0.00 |
time (sec) |
N/A | 0.010 | 0.007 | 0.100 | 0.239 | 0.320 | 0.000 | 0.001 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 22 | 6 | 16 | 12 | 7 | 6 | 7 |
N.S. | 1 | 1.00 | 1.00 | 2.44 | 0.67 | 1.78 | 1.33 | 0.78 | 0.67 | 0.78 |
time (sec) |
N/A | 0.010 | 0.002 | 0.060 | 0.252 | 0.307 | 0.239 | 0.000 | 0.317 | 1.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F(-2) | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 19 | 18 | 26 | 0 | 25 | 32 | 14 | 14 | 43 |
N.S. |
1 | 1.46 | 1.38 | 2.00 | 0.00 | 1.92 | 2.46 | 1.08 | 1.08 | 3.31 |
time (sec) |
N/A | 0.019 | 0.018 | 0.094 | 0.000 | 0.497 | 0.265 | 0.001 | 0.109 | 2.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1 | 1 | 1 | 2 | 1 | 1 | 10 | 1 | 1 | 1 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.00 | 1.00 | 10.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.009 | 0.000 | 0.050 | 0.240 | 0.293 | 0.199 | 0.000 | 0.288 | 1.705 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 36 | 24 | 16 | 26 | 0 | 16 | 16 | 0 |
N.S. |
1 | 1.00 | 1.64 | 1.09 | 0.73 | 1.18 | 0.00 | 0.73 | 0.73 | 0.00 |
time (sec) |
N/A | 0.015 | 0.019 | 0.033 | 0.253 | 0.301 | 0.000 | 0.001 | 0.059 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 18 | 18 | 11 | 21 | 0 | 10 | 11 | 0 |
N.S. |
1 | 1.00 | 1.38 | 1.38 | 0.85 | 1.62 | 0.00 | 0.77 | 0.85 | 0.00 |
time (sec) |
N/A | 0.019 | 0.018 | 0.035 | 0.245 | 0.299 | 0.000 | 0.001 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 20 | 18 | 11 | 22 | 0 | 10 | 11 | 0 |
N.S. |
1 | 1.00 | 1.33 | 1.20 | 0.73 | 1.47 | 0.00 | 0.67 | 0.73 | 0.00 |
time (sec) |
N/A | 0.022 | 0.019 | 0.049 | 0.247 | 0.297 | 0.000 | 0.002 | 0.044 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 19 | 19 | 26 | 25 | 56 | 0 | 32 | 36 |
N.S. | 1 | 1.00 | 0.73 | 0.73 | 1.00 | 0.96 | 2.15 | 0.00 | 1.23 | 1.38 |
time (sec) |
N/A | 0.007 | 0.006 | 0.015 | 0.241 | 0.342 | 0.219 | 0.000 | 0.401 | 2.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 30 | 41 | 42 | 45 | 155 | 85 | 43 | 63 |
N.S. | 1 | 1.00 | 0.71 | 0.98 | 1.00 | 1.07 | 3.69 | 2.02 | 1.02 | 1.50 |
time (sec) |
N/A | 0.015 | 0.008 | 0.019 | 0.248 | 0.321 | 0.362 | 0.004 | 0.354 | 2.932 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 21 | 23 | 22 | 17 | 34 | 49 | 17 | 17 |
N.S. | 1 | 1.00 | 0.62 | 0.68 | 0.65 | 0.50 | 1.00 | 1.44 | 0.50 | 0.50 |
time (sec) |
N/A | 0.012 | 0.004 | 0.058 | 0.237 | 0.422 | 1.087 | 0.004 | 0.037 | 2.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 27 | 25 | 25 | 22 | 27 | 21 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.89 | 0.89 | 0.79 | 0.96 | 0.75 | 0.79 |
time (sec) |
N/A | 0.007 | 0.003 | 0.012 | 0.240 | 0.301 | 0.061 | 0.001 | 0.332 | 1.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 81 | 69 | 69 | 69 | 71 | 81 | 71 | 66 |
N.S. | 1 | 1.00 | 1.21 | 1.03 | 1.03 | 1.03 | 1.06 | 1.21 | 1.06 | 0.99 |
time (sec) |
N/A | 0.021 | 0.012 | 0.086 | 0.246 | 0.300 | 0.082 | 0.001 | 0.381 | 1.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 24 | 36 | 23 | 26 | 48 | 20 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.57 | 1.00 | 1.13 | 2.09 | 0.87 | 0.87 |
time (sec) |
N/A | 0.009 | 0.003 | 0.022 | 0.252 | 0.300 | 0.062 | 0.001 | 0.294 | 1.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 60 | 53 | 66 | 48 | 51 | 77 | 51 | 43 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 1.10 | 0.80 | 0.85 | 1.28 | 0.85 | 0.72 |
time (sec) |
N/A | 0.054 | 0.006 | 0.014 | 0.241 | 0.309 | 0.089 | 0.002 | 0.374 | 1.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 37 | 8 | 34 | 32 | 0 | 29 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.19 | 0.79 | 0.74 | 0.00 | 0.67 | 0.77 |
time (sec) |
N/A | 0.035 | 0.017 | 0.014 | 0.261 | 0.300 | 0.390 | 0.000 | 0.279 | 1.966 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | F | A | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 30 | 32 | 25 | 0 | 177 | 0 | -1 | 284 |
N.S. | 1 | 1.00 | 1.03 | 1.10 | 0.86 | 0.00 | 6.10 | 0.00 | -0.03 | 9.79 |
time (sec) |
N/A | 0.012 | 0.003 | 0.079 | 0.245 | 0.647 | 3.793 | 0.000 | 0.000 | 6.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 27 | 30 | 38 | 34 | 24 | 37 | 35 | 41 |
N.S. | 1 | 1.00 | 0.93 | 1.03 | 1.31 | 1.17 | 0.83 | 1.28 | 1.21 | 1.41 |
time (sec) |
N/A | 0.008 | 0.009 | 0.081 | 0.259 | 0.317 | 0.123 | 0.001 | 0.392 | 1.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 13 | 12 | 12 | 15 | 11 | 22 | 21 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 1.25 | 0.92 | 1.83 | 1.75 |
time (sec) |
N/A | 0.011 | 0.003 | 0.018 | 0.243 | 0.322 | 0.453 | 0.001 | 0.333 | 1.931 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 20 | 19 | 22 | 36 | 17 | 19 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 1.00 | 1.16 | 1.89 | 0.89 | 1.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.006 | 0.024 | 0.243 | 0.325 | 0.634 | 0.001 | 0.450 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 11 | 8 | 28 | 11 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.00 | 0.73 | 2.55 | 1.00 | 1.18 |
time (sec) |
N/A | 0.014 | 0.009 | 0.015 | 0.245 | 0.304 | 0.065 | 0.000 | 0.294 | 1.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 24 | 0 | 27 | 71 | 19 | 22 | 104 |
N.S. |
1 | 1.00 | 1.00 | 1.04 | 0.00 | 1.17 | 3.09 | 0.83 | 0.96 | 4.52 |
time (sec) |
N/A | 0.020 | 0.007 | 0.023 | 0.000 | 0.644 | 5.988 | 0.001 | 0.427 | 7.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 46 | 15 | 7 | 18 | 0 | 18 | 14 | 0 |
N.S. |
1 | 1.00 | 2.88 | 0.94 | 0.44 | 1.12 | 0.00 | 1.12 | 0.88 | 0.00 |
time (sec) |
N/A | 0.023 | 0.013 | 0.015 | 0.245 | 0.302 | 0.000 | 0.001 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 50 | 17 | 20 | 20 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.00 | 2.78 | 0.94 | 1.11 | 1.11 | 0.00 | 0.00 | 0.89 | 0.00 |
time (sec) |
N/A | 0.025 | 0.014 | 0.015 | 0.239 | 0.308 | 0.000 | 0.000 | 0.392 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 17 | 7 | 25 | 0 | 9 | 16 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.39 | 1.39 | 0.00 | 0.50 | 0.89 | 0.00 |
time (sec) |
N/A | 0.025 | 0.014 | 0.014 | 0.326 | 0.312 | 0.000 | 0.002 | 0.612 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 37 | 13 | 44 | 0 | 43 | 27 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.68 | 0.59 | 2.00 | 0.00 | 1.95 | 1.23 | 0.00 |
time (sec) |
N/A | 0.053 | 0.009 | 0.013 | 0.241 | 0.316 | 0.000 | 0.001 | 0.581 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 39 | 37 | 27 | 0 | 0 | 22 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.62 | 1.54 | 1.12 | 0.00 | 0.00 | 0.92 | 0.00 |
time (sec) |
N/A | 0.060 | 0.010 | 0.015 | 0.249 | 0.308 | 0.000 | 0.000 | 0.608 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 43 | 13 | 27 | 0 | 20 | 25 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.87 | 0.57 | 1.17 | 0.00 | 0.87 | 1.09 | 0.00 |
time (sec) |
N/A | 0.059 | 0.009 | 0.014 | 0.323 | 0.312 | 0.000 | 0.002 | 0.524 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 11 | 10 | 10 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.00 | 0.91 | 0.91 | 0.73 | 0.73 |
time (sec) |
N/A | 0.005 | 0.005 | 0.013 | 0.236 | 0.309 | 0.077 | 0.000 | 0.322 | 1.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 21 | 15 | 20 | 24 | 21 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.75 | 1.00 | 1.20 | 1.05 | 0.75 | 0.75 |
time (sec) |
N/A | 0.011 | 0.006 | 0.020 | 0.238 | 0.318 | 0.112 | 0.001 | 0.377 | 1.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 30 | 22 | 29 | 36 | 31 | 29 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.03 | 0.76 | 1.00 | 1.24 | 1.07 | 1.00 | 0.76 |
time (sec) |
N/A | 0.012 | 0.006 | 0.020 | 0.250 | 0.338 | 0.143 | 0.001 | 0.361 | 1.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 39 | 29 | 38 | 48 | 40 | 38 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.03 | 0.76 | 1.00 | 1.26 | 1.05 | 1.00 | 0.76 |
time (sec) |
N/A | 0.014 | 0.006 | 0.024 | 0.241 | 0.366 | 0.174 | 0.001 | 0.371 | 1.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 0 | 29 | 14 | 24 | 0 | 24 | 24 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 1.21 | 0.58 | 1.00 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.022 | 0.019 | 0.005 | 0.263 | 0.462 | 0.972 | 0.000 | 0.451 | 2.553 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 5 | 4 | 4 | 0 | 5 | 4 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.25 | 1.00 | 1.00 | 0.00 | 1.25 | 1.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.007 | 0.115 | 0.241 | 0.315 | 0.000 | 0.001 | 0.396 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 7 | 10 | 9 | 12 | 7 | 7 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.43 | 1.29 | 1.71 | 1.00 | 1.00 | 1.29 | 1.29 |
time (sec) |
N/A | 0.028 | 0.005 | 0.041 | 0.254 | 0.315 | 0.892 | 0.001 | 0.387 | 2.285 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 46 | 10 | 46 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 4.18 | 0.91 | 4.18 | 0.73 | 0.73 |
time (sec) |
N/A | 0.007 | 0.008 | 0.079 | 0.245 | 0.304 | 0.231 | 0.001 | 0.365 | 1.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 8 | 7 | 7 | 0 | 0 | 16 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.78 | 0.78 | 0.00 | 0.00 | 1.78 | 0.00 |
time (sec) |
N/A | 0.009 | 0.003 | 0.086 | 0.245 | 0.305 | 0.000 | 0.000 | 0.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 23 | 0 | 22 | 20 | 25 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.00 | 0.85 | 0.77 | 0.96 | 0.85 | 0.85 |
time (sec) |
N/A | 0.003 | 0.013 | 0.007 | 0.000 | 0.307 | 5.128 | 0.002 | 0.078 | 5.374 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 27 | 26 | 25 | 26 | 26 | 34 | 25 | 26 |
N.S. | 1 | 1.00 | 0.77 | 0.74 | 0.71 | 0.74 | 0.74 | 0.97 | 0.71 | 0.74 |
time (sec) |
N/A | 0.009 | 0.008 | 0.026 | 0.264 | 0.313 | 0.077 | 0.001 | 0.065 | 1.718 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 24 | 24 | 20 | 26 | 0 | 20 | 24 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.75 | 0.62 | 0.81 | 0.00 | 0.62 | 0.75 | 0.00 |
time (sec) |
N/A | 0.032 | 0.016 | 0.020 | 0.243 | 0.304 | 0.000 | 0.004 | 0.380 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 42 | 43 | 42 | 42 | 0 | 65 | 31 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.83 | 0.81 | 0.81 | 0.00 | 1.25 | 0.60 | 0.00 |
time (sec) |
N/A | 0.025 | 0.017 | 0.017 | 0.242 | 0.312 | 0.000 | 0.002 | 0.548 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 197 | 25 | 24 | 42 | 28 | -1 | 24 |
N.S. | 1 | 1.00 | 1.00 | 6.57 | 0.83 | 0.80 | 1.40 | 0.93 | -0.03 | 0.80 |
time (sec) |
N/A | 0.022 | 0.006 | 0.184 | 0.245 | 0.328 | 0.922 | 0.001 | 0.000 | 2.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 29 | 55 | 25 | 39 | 46 | 28 | 148 | 26 |
N.S. | 1 | 1.00 | 0.97 | 1.83 | 0.83 | 1.30 | 1.53 | 0.93 | 4.93 | 0.87 |
time (sec) |
N/A | 0.037 | 0.042 | 0.299 | 0.253 | 0.325 | 13.140 | 0.003 | 1.803 | 13.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 32 | 164 | 56 | 32 | 0 | 30 | 39 | 0 |
N.S. |
1 | 1.00 | 1.14 | 5.86 | 2.00 | 1.14 | 0.00 | 1.07 | 1.39 | 0.00 |
time (sec) |
N/A | 0.029 | 0.051 | 0.147 | 0.241 | 0.318 | 0.000 | 0.006 | 0.576 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 56 | 106 | 86 | 53 | 88 | 56 | 164 | 38 |
N.S. | 1 | 1.00 | 0.93 | 1.77 | 1.43 | 0.88 | 1.47 | 0.93 | 2.73 | 0.63 |
time (sec) |
N/A | 0.090 | 0.086 | 0.276 | 0.327 | 0.316 | 3.235 | 0.038 | 0.787 | 4.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 52 | 52 | 51 | 44 | 0 | 145 | -1 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.80 | 0.78 | 0.68 | 0.00 | 2.23 | -0.02 | 0.00 |
time (sec) |
N/A | 0.068 | 0.021 | 0.050 | 0.330 | 0.323 | 0.000 | 0.015 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 42 | 37 | 47 | 36 | 54 | 81 | -1 | 47 |
N.S. | 1 | 1.00 | 0.69 | 0.61 | 0.77 | 0.59 | 0.89 | 1.33 | -0.02 | 0.77 |
time (sec) |
N/A | 0.057 | 0.012 | 0.099 | 0.334 | 0.317 | 0.173 | 0.005 | 0.000 | 1.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 37 | 42 | 44 | 36 | 44 | 47 | 41 | 41 |
N.S. | 1 | 1.00 | 0.70 | 0.79 | 0.83 | 0.68 | 0.83 | 0.89 | 0.77 | 0.77 |
time (sec) |
N/A | 0.071 | 0.009 | 0.054 | 0.338 | 0.312 | 0.183 | 0.004 | 0.344 | 1.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 56 | 48 | 64 | 53 | 53 | 0 | 44 | 52 |
N.S. | 1 | 1.00 | 0.92 | 0.79 | 1.05 | 0.87 | 0.87 | 0.00 | 0.72 | 0.85 |
time (sec) |
N/A | 0.077 | 0.010 | 0.079 | 0.325 | 0.327 | 0.292 | 0.000 | 0.105 | 1.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 42 | 56 | 95 | 35 | 0 | 152 | -1 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.89 | 1.51 | 0.56 | 0.00 | 2.41 | -0.02 | 0.00 |
time (sec) |
N/A | 0.040 | 0.023 | 0.048 | 0.390 | 0.325 | 0.000 | 0.014 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 92 | 174 | 0 | 77 | 0 | 169 | -1 | 0 |
N.S. |
1 | 1.00 | 0.62 | 1.18 | 0.00 | 0.52 | 0.00 | 1.14 | -0.01 | 0.00 |
time (sec) |
N/A | 0.087 | 0.039 | 0.151 | 0.000 | 0.341 | 0.000 | 0.013 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 31 | 30 | 26 | 39 | 36 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.91 | 0.88 | 0.76 | 1.15 | 1.06 | -0.03 | 0.00 |
time (sec) |
N/A | 0.020 | 0.006 | 0.094 | 0.322 | 0.319 | 1.103 | 0.007 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 33 | 30 | 26 | 39 | 34 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.97 | 0.88 | 0.76 | 1.15 | 1.00 | -0.03 | 0.00 |
time (sec) |
N/A | 0.018 | 0.010 | 0.109 | 0.334 | 0.319 | 1.144 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 26 | 134 | 22 | 27 | 37 | 36 | -1 | 38 |
N.S. | 1 | 1.00 | 0.87 | 4.47 | 0.73 | 0.90 | 1.23 | 1.20 | -0.03 | 1.27 |
time (sec) |
N/A | 0.018 | 0.015 | 0.197 | 0.329 | 0.312 | 0.207 | 0.005 | 0.000 | 1.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 42 | 54 | 50 | 39 | 53 | 73 | -1 | 47 |
N.S. | 1 | 1.00 | 0.71 | 0.92 | 0.85 | 0.66 | 0.90 | 1.24 | -0.02 | 0.80 |
time (sec) |
N/A | 0.032 | 0.017 | 0.133 | 0.332 | 0.319 | 0.370 | 0.012 | 0.000 | 2.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 35 | 37 | 27 | 37 | 63 | 46 | -1 | 59 |
N.S. | 1 | 1.00 | 0.95 | 1.00 | 0.73 | 1.00 | 1.70 | 1.24 | -0.03 | 1.59 |
time (sec) |
N/A | 0.022 | 0.010 | 0.108 | 0.333 | 0.312 | 0.534 | 0.007 | 0.000 | 2.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 286 | 49 | 47 | 88 | 77 | -1 | 80 |
N.S. | 1 | 1.00 | 0.77 | 4.69 | 0.80 | 0.77 | 1.44 | 1.26 | -0.02 | 1.31 |
time (sec) |
N/A | 0.046 | 0.030 | 0.312 | 0.341 | 0.319 | 9.127 | 0.010 | 0.000 | 8.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 119 | 230 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.25 | 2.42 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.097 | 0.159 | 0.288 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 36 | 201 | 35 | 44 | 0 | 189 | -1 | 0 |
N.S. |
1 | 1.00 | 0.88 | 4.90 | 0.85 | 1.07 | 0.00 | 4.61 | -0.02 | 0.00 |
time (sec) |
N/A | 0.036 | 0.022 | 0.722 | 0.321 | 0.323 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 28 | 32 | 32 | 26 | 26 | 37 | -1 | 26 |
N.S. | 1 | 1.00 | 0.82 | 0.94 | 0.94 | 0.76 | 0.76 | 1.09 | -0.03 | 0.76 |
time (sec) |
N/A | 0.037 | 0.007 | 0.100 | 0.328 | 0.638 | 0.127 | 0.006 | 0.000 | 1.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 43 | 54 | 52 | 39 | 53 | 77 | -1 | 47 |
N.S. | 1 | 1.00 | 0.70 | 0.89 | 0.85 | 0.64 | 0.87 | 1.26 | -0.02 | 0.77 |
time (sec) |
N/A | 0.065 | 0.013 | 0.136 | 0.326 | 0.322 | 0.272 | 0.006 | 0.000 | 2.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 46 | 25 | 44 | 20 | 32 | -1 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.42 | 1.32 | 2.32 | 1.05 | 1.68 | -0.05 | 0.00 |
time (sec) |
N/A | 0.023 | 0.007 | 0.095 | 0.325 | 0.332 | 4.648 | 0.004 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 32 | 47 | 25 | 44 | 20 | 32 | -1 | 0 |
N.S. |
1 | 1.00 | 1.88 | 2.76 | 1.47 | 2.59 | 1.18 | 1.88 | -0.06 | 0.00 |
time (sec) |
N/A | 0.024 | 0.027 | 0.099 | 0.329 | 0.323 | 5.059 | 0.008 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 45 | 63 | 48 | 61 | 78 | 61 | -1 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.02 | 0.77 | 0.98 | 1.26 | 0.98 | -0.02 | 0.00 |
time (sec) |
N/A | 0.025 | 0.046 | 0.094 | 0.330 | 0.322 | 15.330 | 0.009 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 40 | 61 | 45 | 57 | 37 | 45 | -1 | 45 |
N.S. | 1 | 1.00 | 1.11 | 1.69 | 1.25 | 1.58 | 1.03 | 1.25 | -0.03 | 1.25 |
time (sec) |
N/A | 0.043 | 0.033 | 0.419 | 0.328 | 0.325 | 8.572 | 0.006 | 0.000 | 9.974 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 112 | 97 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 1.81 | 1.56 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.071 | 0.123 | 0.426 | 0.000 | 0.340 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 38 | 43 | 42 | 36 | 49 | 134 | -1 | 0 |
N.S. |
1 | 1.00 | 0.70 | 0.80 | 0.78 | 0.67 | 0.91 | 2.48 | -0.02 | 0.00 |
time (sec) |
N/A | 0.057 | 0.023 | 0.112 | 0.330 | 0.323 | 7.022 | 0.007 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 50 | 158 | 52 | 41 | 78 | 74 | -1 | 71 |
N.S. | 1 | 1.00 | 0.76 | 2.39 | 0.79 | 0.62 | 1.18 | 1.12 | -0.02 | 1.08 |
time (sec) |
N/A | 0.046 | 0.028 | 0.188 | 0.332 | 0.318 | 0.395 | 0.014 | 0.000 | 2.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | A | A | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 60 | 69 | 0 | 49 | 66 | 80 | -1 | 57 |
N.S. | 1 | 1.00 | 0.82 | 0.95 | 0.00 | 0.67 | 0.90 | 1.10 | -0.01 | 0.78 |
time (sec) |
N/A | 0.094 | 0.014 | 0.118 | 0.000 | 0.323 | 0.261 | 0.011 | 0.000 | 2.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 21 | 27 | 26 | 19 | 31 | 28 | 21 | 21 |
N.S. | 1 | 1.00 | 0.66 | 0.84 | 0.81 | 0.59 | 0.97 | 0.88 | 0.66 | 0.66 |
time (sec) |
N/A | 0.017 | 0.011 | 0.091 | 0.336 | 0.312 | 0.245 | 0.001 | 0.078 | 1.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 36 | 37 | 39 | 38 | 88 | 41 | 26 | 41 |
N.S. | 1 | 1.00 | 0.82 | 0.84 | 0.89 | 0.86 | 2.00 | 0.93 | 0.59 | 0.93 |
time (sec) |
N/A | 0.018 | 0.013 | 0.093 | 0.332 | 0.328 | 0.360 | 0.003 | 0.319 | 2.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 20 | 24 | 19 | 19 | 21 | 19 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 1.04 | 0.83 | 0.83 | 0.91 | 0.83 | 0.83 |
time (sec) |
N/A | 0.030 | 0.010 | 0.069 | 0.336 | 0.317 | 0.136 | 0.002 | 0.309 | 1.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 57 | 128 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.91 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.057 | 0.016 | 0.080 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F(-2) | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 28 | 29 | 40 | 26 | 0 | 0 | 23 | 0 |
N.S. |
1 | 1.00 | 0.82 | 0.85 | 1.18 | 0.76 | 0.00 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.030 | 0.015 | 0.108 | 0.340 | 0.314 | 0.000 | 0.000 | 0.065 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | F | F(-2) | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 64 | 139 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.76 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.068 | 0.041 | 0.089 | 0.000 | 0.326 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | F | F(-2) | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 70 | 149 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.67 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.139 | 0.125 | 0.086 | 0.000 | 0.314 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 23 | 21 | 26 | 19 | 23 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.05 | 0.95 | 1.18 | 0.86 | 1.05 | 1.00 | 1.00 |
time (sec) |
N/A | 0.021 | 0.005 | 0.050 | 0.321 | 0.315 | 0.147 | 0.003 | 0.066 | 1.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 59 | 30 | 31 | 26 | 34 | 39 | 30 | 32 |
N.S. | 1 | 1.00 | 1.90 | 0.97 | 1.00 | 0.84 | 1.10 | 1.26 | 0.97 | 1.03 |
time (sec) |
N/A | 0.014 | 0.005 | 0.050 | 0.325 | 0.320 | 0.297 | 0.003 | 0.322 | 1.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | F | F | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 81 | 79 | 71 | 0 | 0 | 0 | 53 | 0 |
N.S. |
1 | 1.00 | 1.29 | 1.25 | 1.13 | 0.00 | 0.00 | 0.00 | 0.84 | 0.00 |
time (sec) |
N/A | 0.054 | 0.007 | 0.096 | 0.357 | 0.312 | 0.000 | 0.000 | 0.498 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 25 | 27 | 29 | 22 | 0 | 24 | 24 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.96 | 1.04 | 0.79 | 0.00 | 0.86 | 0.86 |
time (sec) |
N/A | 0.035 | 0.005 | 0.115 | 0.338 | 0.317 | 0.201 | 0.000 | 0.089 | 1.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 38 | 34 | 36 | 38 | 32 | 0 | 31 | 33 |
N.S. | 1 | 1.00 | 0.97 | 0.87 | 0.92 | 0.97 | 0.82 | 0.00 | 0.79 | 0.85 |
time (sec) |
N/A | 0.042 | 0.011 | 0.066 | 0.327 | 0.317 | 0.213 | 0.000 | 0.074 | 1.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | F | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 56 | 57 | 71 | 54 | 61 | 0 | 51 | 60 |
N.S. | 1 | 1.00 | 0.93 | 0.95 | 1.18 | 0.90 | 1.02 | 0.00 | 0.85 | 1.00 |
time (sec) |
N/A | 0.048 | 0.017 | 0.084 | 0.336 | 0.317 | 0.298 | 0.000 | 0.120 | 1.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 82 | 47 | 78 | 94 | 51 | 0 | 0 | 56 | 0 |
N.S. |
1 | 1.04 | 0.59 | 0.99 | 1.19 | 0.65 | 0.00 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.081 | 0.027 | 0.137 | 0.332 | 0.310 | 0.000 | 0.000 | 0.360 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 116 | 116 | 708 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.08 | 1.08 | 6.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.096 | 0.118 | 0.464 | 0.000 | 0.332 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 133 | 86 | 305 | 0 | 51 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.25 | 0.81 | 2.88 | 0.00 | 0.48 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.121 | 0.201 | 0.408 | 0.000 | 0.321 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F(-1) | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 48 | 329 | 27 | 23 | 0 | 85 | -1 | 0 |
N.S. |
1 | 1.00 | 1.17 | 8.02 | 0.66 | 0.56 | 0.00 | 2.07 | -0.02 | 0.00 |
time (sec) |
N/A | 0.032 | 0.028 | 0.484 | 0.328 | 0.322 | 0.000 | 0.026 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 67 | 67 | 128 | 48 | 75 | 0 | 72 | -1 | 0 |
N.S. |
1 | 1.03 | 1.03 | 1.97 | 0.74 | 1.15 | 0.00 | 1.11 | -0.02 | 0.00 |
time (sec) |
N/A | 0.019 | 0.072 | 0.417 | 0.299 | 0.323 | 0.000 | 0.017 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 53 | 61 | 121 | 46 | 68 | 0 | 66 | -1 | 0 |
N.S. |
1 | 1.04 | 1.20 | 2.37 | 0.90 | 1.33 | 0.00 | 1.29 | -0.02 | 0.00 |
time (sec) |
N/A | 0.039 | 0.064 | 0.512 | 0.292 | 0.330 | 0.000 | 0.014 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 84 | 72 | 197 | 0 | 69 | 0 | 77 | -1 | 0 |
N.S. |
1 | 1.02 | 0.88 | 2.40 | 0.00 | 0.84 | 0.00 | 0.94 | -0.01 | 0.00 |
time (sec) |
N/A | 0.057 | 0.112 | 0.650 | 0.000 | 0.343 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | F | F | F(-2) | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 232 | 383 | 240 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.33 | 2.19 | 1.37 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.193 | 1.126 | 0.841 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | B | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 35 | 178 | 17 | 16 | 0 | 47 | -1 | 0 |
N.S. |
1 | 1.00 | 1.52 | 7.74 | 0.74 | 0.70 | 0.00 | 2.04 | -0.04 | 0.00 |
time (sec) |
N/A | 0.030 | 0.020 | 0.377 | 0.340 | 0.312 | 0.000 | 0.016 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | B | A | F(-2) | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 91 | 79 | 702 | 123 | 81 | 0 | 117 | -1 | 0 |
N.S. |
1 | 1.30 | 1.13 | 10.03 | 1.76 | 1.16 | 0.00 | 1.67 | -0.01 | 0.00 |
time (sec) |
N/A | 0.053 | 0.086 | 0.633 | 0.546 | 0.327 | 0.000 | 0.028 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 101 | 76 | 330 | 58 | 37 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.36 | 1.03 | 4.46 | 0.78 | 0.50 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.111 | 0.036 | 0.532 | 0.340 | 0.317 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | F(-2) | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 133 | 172 | 84 | 386 | 0 | 59 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.29 | 0.63 | 2.90 | 0.00 | 0.44 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.126 | 0.167 | 0.583 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 146 | 92 | 536 | 93 | 57 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.33 | 0.84 | 4.87 | 0.85 | 0.52 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.116 | 0.047 | 0.540 | 0.552 | 0.312 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | B | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 125 | 99 | 86 | 103 | 51 | 0 | 0 | -1 | 0 |
N.S. |
1 | 2.27 | 1.80 | 1.56 | 1.87 | 0.93 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.422 | 0.092 | 0.034 | 0.326 | 0.332 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | F | B | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 71 | 66 | 89 | 58 | 0 | 154 | 36 | 0 |
N.S. |
1 | 1.00 | 1.78 | 1.65 | 2.22 | 1.45 | 0.00 | 3.85 | 0.90 | 0.00 |
time (sec) |
N/A | 0.028 | 0.057 | 0.051 | 0.326 | 0.317 | 0.000 | 0.028 | 0.364 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 35 | 32 | 31 | 50 | 153 | 40 | 31 | 65 |
N.S. | 1 | 1.00 | 0.90 | 0.82 | 0.79 | 1.28 | 3.92 | 1.03 | 0.79 | 1.67 |
time (sec) |
N/A | 0.020 | 0.020 | 0.105 | 0.335 | 0.309 | 0.277 | 0.001 | 0.359 | 2.946 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | F | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 105 | 102 | 118 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.86 | 0.84 | 0.97 | 0.00 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.059 | 0.017 | 0.112 | 0.362 | 0.324 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | A | A | F | F | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 0 | 0 | 14 | 22 | 0 | -1 | 26 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.50 | 0.79 | 0.00 | -0.04 | 0.93 |
time (sec) |
N/A | 0.021 | 0.011 | 0.065 | 0.000 | 0.313 | 0.470 | 0.000 | 0.000 | 2.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 26 | 25 | 25 | 26 | 31 | 25 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.81 | 0.81 | 0.84 | 1.00 | 0.81 | 0.81 |
time (sec) |
N/A | 0.023 | 0.019 | 0.073 | 0.248 | 0.349 | 0.702 | 0.003 | 0.571 | 2.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F | A | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 61 | 70 | 0 | 90 | 0 | 92 | -1 | 0 |
N.S. |
1 | 1.00 | 1.07 | 1.23 | 0.00 | 1.58 | 0.00 | 1.61 | -0.02 | 0.00 |
time (sec) |
N/A | 0.020 | 0.066 | 0.071 | 0.000 | 0.345 | 0.000 | 0.015 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F(-2) | B | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 140 | 72 | 76 | 116 | 125 | 0 | 566 | -1 | 0 |
N.S. |
1 | 1.71 | 0.88 | 0.93 | 1.41 | 1.52 | 0.00 | 6.90 | -0.01 | 0.00 |
time (sec) |
N/A | 0.048 | 0.051 | 0.079 | 0.760 | 0.317 | 0.000 | 0.101 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | F | F | B | F(-1) | C | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 66 | 0 | 0 | 519 | 0 | 269 | -1 | 0 |
N.S. |
1 | 1.00 | 1.35 | 0.00 | 0.00 | 10.59 | 0.00 | 5.49 | -0.02 | 0.00 |
time (sec) |
N/A | 0.087 | 0.143 | 0.041 | 0.000 | 0.338 | 0.000 | 0.061 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 40 | 854 | 54 | 423 | 214 | 90 | 103 | 102 |
N.S. | 1 | 1.00 | 1.11 | 23.72 | 1.50 | 11.75 | 5.94 | 2.50 | 2.86 | 2.83 |
time (sec) |
N/A | 0.076 | 0.121 | 0.520 | 0.335 | 0.332 | 88.205 | 0.026 | 0.536 | 66.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | F | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 64 | 0 | 16 | 26 | 0 | 27 | -1 | 0 |
N.S. |
1 | 1.00 | 2.29 | 0.00 | 0.57 | 0.93 | 0.00 | 0.96 | -0.04 | 0.00 |
time (sec) |
N/A | 0.047 | 0.532 | 0.026 | 0.338 | 0.327 | 0.000 | 0.007 | 0.000 | 0.000 |