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 | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 12 | 10 | 14 | 13 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 0.62 | 0.88 | 0.81 | 0.75 |
time (sec) |
N/A | 0.001 | 0.000 | 0.004 | 0.281 | 0.310 | 0.024 | 0.000 | 0.021 | 1.618 |
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 | 17 | 16 | 16 | 17 | 22 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.77 | 1.00 | 0.68 | 0.68 |
time (sec) |
N/A | 0.007 | 0.001 | 0.018 | 0.266 | 0.337 | 0.028 | 0.000 | 0.039 | 1.640 |
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 | 17 | 16 | 16 | 15 | 22 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.68 | 1.00 | 0.68 | 0.68 |
time (sec) |
N/A | 0.003 | 0.001 | 0.022 | 0.257 | 0.322 | 0.027 | 0.000 | 0.029 | 1.639 |
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 | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 3 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.003 | 0.281 | 0.330 | 0.025 | 0.000 | 0.009 | 1.480 |
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 | 0.008 | 0.008 | 0.041 | 0.261 | 0.326 | 0.059 | 0.001 | 0.118 | 1.847 |
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 | 28 | 25 | 24 | 33 | 24 | 32 | 26 | 28 |
N.S. | 1 | 1.00 | 0.88 | 0.78 | 0.75 | 1.03 | 0.75 | 1.00 | 0.81 | 0.88 |
time (sec) |
N/A | 0.008 | 0.008 | 0.035 | 0.268 | 0.333 | 0.079 | 0.000 | 0.034 | 1.757 |
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 | 40 | 40 | 34 | 43 | 40 | 34 | 144 | 35 | 40 | 34 |
N.S. | 1 | 1.00 | 0.85 | 1.08 | 1.00 | 0.85 | 3.60 | 0.88 | 1.00 | 0.85 |
time (sec) |
N/A | 0.018 | 0.012 | 0.043 | 0.266 | 0.327 | 0.548 | 0.001 | 0.250 | 4.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 38 | 35 | 0 | 120 | 124 | 38 | 46 | 125 |
N.S. |
1 | 1.00 | 1.12 | 1.03 | 0.00 | 3.53 | 3.65 | 1.12 | 1.35 | 3.68 |
time (sec) |
N/A | 0.019 | 0.008 | 0.115 | 0.000 | 0.348 | 0.116 | 0.001 | 0.198 | 4.026 |
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 | 16 | 16 | 16 | 15 | 14 | 14 | 26 | 16 | 14 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 1.62 | 1.00 | 0.88 | 1.44 |
time (sec) |
N/A | 0.004 | 0.005 | 0.024 | 0.340 | 0.321 | 0.087 | 0.000 | 0.038 | 1.798 |
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 | 16 | 17 | 14 | 14 | 22 | 21 | 14 | 14 |
N.S. | 1 | 1.00 | 0.84 | 0.89 | 0.74 | 0.74 | 1.16 | 1.11 | 0.74 | 0.74 |
time (sec) |
N/A | 0.007 | 0.004 | 0.212 | 0.352 | 0.320 | 0.051 | 0.001 | 0.031 | 1.678 |
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 | 35 | 36 | 39 | 71 | 41 | 45 | 49 | 49 |
N.S. | 1 | 1.00 | 0.71 | 0.73 | 0.80 | 1.45 | 0.84 | 0.92 | 1.00 | 1.00 |
time (sec) |
N/A | 0.018 | 0.017 | 0.043 | 0.346 | 0.417 | 0.091 | 0.002 | 0.126 | 1.996 |
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 | 68 | 68 | 62 | 69 | 78 | 81 | 0 | 73 | 87 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.01 | 1.15 | 1.19 | 0.00 | 1.07 | 1.28 | 0.00 |
time (sec) |
N/A | 0.033 | 0.021 | 0.077 | 0.255 | 0.466 | 0.000 | 0.001 | 0.568 | 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 | 47 | 47 | 34 | 44 | 43 | 32 | 121 | 40 | 256 | 33 |
N.S. | 1 | 1.00 | 0.72 | 0.94 | 0.91 | 0.68 | 2.57 | 0.85 | 5.45 | 0.70 |
time (sec) |
N/A | 0.013 | 0.008 | 0.048 | 0.268 | 0.321 | 0.369 | 0.001 | 0.304 | 3.513 |
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 | 30 | 41 | 40 | 30 | 393 | 46 | 191 | 49 |
N.S. | 1 | 1.00 | 0.75 | 1.02 | 1.00 | 0.75 | 9.82 | 1.15 | 4.78 | 1.22 |
time (sec) |
N/A | 0.012 | 0.010 | 0.061 | 0.341 | 0.328 | 0.684 | 0.001 | 0.175 | 6.580 |
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 | 27 | 27 | 27 | 20 | 19 | 19 | 19 | 24 | 25 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.70 | 0.70 | 0.70 | 0.89 | 0.93 | 0.70 |
time (sec) |
N/A | 0.011 | 0.003 | 0.030 | 0.342 | 0.328 | 0.065 | 0.001 | 0.046 | 1.689 |
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 | 40 | 35 | 34 | 34 | 41 | 47 | 46 | 34 |
N.S. | 1 | 1.00 | 0.98 | 0.85 | 0.83 | 0.83 | 1.00 | 1.15 | 1.12 | 0.83 |
time (sec) |
N/A | 0.015 | 0.007 | 0.028 | 0.347 | 0.336 | 0.068 | 0.001 | 0.206 | 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 | 43 | 43 | 34 | 32 | 31 | 40 | 31 | 41 | 33 | 37 |
N.S. | 1 | 1.00 | 0.79 | 0.74 | 0.72 | 0.93 | 0.72 | 0.95 | 0.77 | 0.86 |
time (sec) |
N/A | 0.083 | 0.014 | 0.038 | 0.362 | 0.327 | 0.073 | 0.001 | 0.043 | 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 | 85 | 85 | 64 | 52 | 72 | 100 | 73 | 106 | 33 | 51 |
N.S. | 1 | 1.00 | 0.75 | 0.61 | 0.85 | 1.18 | 0.86 | 1.25 | 0.39 | 0.60 |
time (sec) |
N/A | 0.026 | 0.013 | 0.000 | 0.364 | 0.328 | 0.074 | 0.001 | 0.002 | 2.082 |
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 | 85 | 85 | 64 | 52 | 72 | 100 | 73 | 106 | 33 | 51 |
N.S. | 1 | 1.00 | 0.75 | 0.61 | 0.85 | 1.18 | 0.86 | 1.25 | 0.39 | 0.60 |
time (sec) |
N/A | 0.026 | 0.007 | 0.023 | 0.349 | 0.340 | 0.076 | 0.001 | 0.205 | 2.062 |
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 | 0.023 | 0.038 | 0.018 | 0.350 | 0.330 | 0.106 | 0.001 | 0.179 | 2.121 |
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 | 18 | 18 | 17 | 19 | 18 | 20 | 20 | 16 | 18 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.06 | 1.00 | 1.11 | 1.11 | 0.89 | 1.00 | 0.00 |
time (sec) |
N/A | 0.003 | 0.016 | 0.023 | 0.303 | 0.342 | 0.028 | 0.000 | 0.220 | 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 | 39 | 39 | 33 | 36 | 42 | 53 | 201 | 83 | 94 | 213 |
N.S. | 1 | 1.00 | 0.85 | 0.92 | 1.08 | 1.36 | 5.15 | 2.13 | 2.41 | 5.46 |
time (sec) |
N/A | 0.008 | 0.027 | 0.020 | 0.260 | 0.330 | 0.242 | 0.002 | 0.392 | 2.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 73 | 68 | 96 | 597 | 154 | 192 | 496 |
N.S. | 1 | 1.00 | 0.95 | 1.22 | 1.13 | 1.60 | 9.95 | 2.57 | 3.20 | 8.27 |
time (sec) |
N/A | 0.014 | 0.036 | 0.026 | 0.260 | 0.334 | 0.399 | 0.002 | 0.601 | 4.459 |
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 | 7 | 10 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.00 | 1.00 | 0.70 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.001 | 0.021 | 0.284 | 0.328 | 0.028 | 0.000 | 0.026 | 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 | 12 | 12 | 12 | 13 | 12 | 13 | 10 | 9 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.08 | 0.83 | 0.75 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.022 | 0.271 | 0.316 | 0.067 | 0.000 | 0.118 | 1.693 |
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 | 19 | 18 | 17 | 14 | 19 | 18 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 0.94 | 0.78 | 1.06 | 1.00 | 0.94 |
time (sec) |
N/A | 0.006 | 0.002 | 0.023 | 0.253 | 0.327 | 0.049 | 0.000 | 0.035 | 1.685 |
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 | 30 | 29 | 29 | 26 | 34 | 29 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.97 | 0.94 | 0.94 | 0.84 | 1.10 | 0.94 | 0.90 |
time (sec) |
N/A | 0.010 | 0.003 | 0.023 | 0.278 | 0.345 | 0.055 | 0.000 | 0.127 | 1.801 |
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 | 19 | 18 | 16 | 10 | 21 | 15 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 0.89 | 0.56 | 1.17 | 0.83 | 0.94 |
time (sec) |
N/A | 0.002 | 0.003 | 0.023 | 0.254 | 0.320 | 0.070 | 0.000 | 0.134 | 1.726 |
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 | 29 | 28 | 26 | 19 | 37 | 25 | 30 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 0.93 | 0.68 | 1.32 | 0.89 | 1.07 |
time (sec) |
N/A | 0.009 | 0.003 | 0.025 | 0.265 | 0.326 | 0.098 | 0.000 | 0.054 | 1.837 |
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 | 42 | 42 | 35 | 43 | 45 | 63 | 37 | 52 | 45 | 49 |
N.S. | 1 | 1.00 | 0.83 | 1.02 | 1.07 | 1.50 | 0.88 | 1.24 | 1.07 | 1.17 |
time (sec) |
N/A | 0.015 | 0.026 | 0.026 | 0.280 | 0.413 | 0.147 | 0.000 | 0.188 | 2.098 |
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 | 10 | 10 | 10 | 11 | 10 | 10 | 20 | 11 | 10 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.00 | 1.00 | 2.00 | 1.10 | 1.00 | 2.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.032 | 0.350 | 0.317 | 0.056 | 0.000 | 0.037 | 1.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 22 | 21 | 18 | 15 | 23 | 10 | 18 |
N.S. | 1 | 1.00 | 1.00 | 2.20 | 2.10 | 1.80 | 1.50 | 2.30 | 1.00 | 1.80 |
time (sec) |
N/A | 0.002 | 0.002 | 0.024 | 0.338 | 0.331 | 0.061 | 0.000 | 0.159 | 1.726 |
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 | 78 | 78 | 66 | 58 | 66 | 63 | 78 | 107 | 72 | 53 |
N.S. | 1 | 1.00 | 0.85 | 0.74 | 0.85 | 0.81 | 1.00 | 1.37 | 0.92 | 0.68 |
time (sec) |
N/A | 0.028 | 0.014 | 0.026 | 0.369 | 0.325 | 0.162 | 0.001 | 0.277 | 2.202 |
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 | 74 | 74 | 65 | 54 | 56 | 68 | 71 | 91 | 72 | 49 |
N.S. | 1 | 1.00 | 0.88 | 0.73 | 0.76 | 0.92 | 0.96 | 1.23 | 0.97 | 0.66 |
time (sec) |
N/A | 0.021 | 0.012 | 0.029 | 0.363 | 0.322 | 0.156 | 0.001 | 0.356 | 2.145 |
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 | 115 | 115 | 89 | 92 | 97 | 300 | 20 | 127 | 101 | 26 |
N.S. | 1 | 1.00 | 0.77 | 0.80 | 0.84 | 2.61 | 0.17 | 1.10 | 0.88 | 0.23 |
time (sec) |
N/A | 0.041 | 0.017 | 0.024 | 0.364 | 0.335 | 0.079 | 0.001 | 0.315 | 1.842 |
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 | 35 | 35 | 43 | 32 | 34 | 56 | 46 | 55 | 20 | 31 |
N.S. | 1 | 1.00 | 1.23 | 0.91 | 0.97 | 1.60 | 1.31 | 1.57 | 0.57 | 0.89 |
time (sec) |
N/A | 0.009 | 0.012 | 0.026 | 0.370 | 0.332 | 0.158 | 0.001 | 0.158 | 1.930 |
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 | 35 | 35 | 43 | 33 | 41 | 60 | 48 | 67 | 18 | 32 |
N.S. | 1 | 1.00 | 1.23 | 0.94 | 1.17 | 1.71 | 1.37 | 1.91 | 0.51 | 0.91 |
time (sec) |
N/A | 0.009 | 0.010 | 0.030 | 0.369 | 0.334 | 0.162 | 0.001 | 0.175 | 1.916 |
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 | 171 | 171 | 120 | 93 | 151 | 161 | 151 | 176 | 45 | 83 |
N.S. | 1 | 1.00 | 0.70 | 0.54 | 0.88 | 0.94 | 0.88 | 1.03 | 0.26 | 0.49 |
time (sec) |
N/A | 0.072 | 0.033 | 0.024 | 0.365 | 0.327 | 0.204 | 0.004 | 0.111 | 2.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 68 | 56 | 0 | 132 | 146 | 108 | 93 | 107 |
N.S. | 1 | 1.00 | 0.93 | 0.77 | 0.00 | 1.81 | 2.00 | 1.48 | 1.27 | 1.47 |
time (sec) |
N/A | 0.049 | 0.036 | 0.033 | 0.000 | 0.339 | 0.241 | 0.005 | 0.224 | 3.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 68 | 56 | 0 | 132 | 24 | 108 | 93 | 33 |
N.S. | 1 | 1.00 | 0.93 | 0.77 | 0.00 | 1.81 | 0.33 | 1.48 | 1.27 | 0.45 |
time (sec) |
N/A | 0.012 | 0.018 | 0.029 | 0.000 | 0.346 | 0.192 | 0.004 | 0.135 | 1.935 |
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 | 72 | 72 | 83 | 54 | 75 | 91 | 158 | 95 | 67 | 69 |
N.S. | 1 | 1.00 | 1.15 | 0.75 | 1.04 | 1.26 | 2.19 | 1.32 | 0.93 | 0.96 |
time (sec) |
N/A | 0.046 | 0.021 | 0.023 | 0.346 | 0.331 | 0.191 | 0.000 | 0.098 | 2.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 67 | 60 | 0 | 123 | 24 | 155 | 98 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.00 | 1.84 | 0.36 | 2.31 | 1.46 | 0.49 |
time (sec) |
N/A | 0.038 | 0.022 | 0.034 | 0.000 | 0.334 | 0.199 | 0.005 | 0.231 | 1.947 |
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 | 67 | 67 | 67 | 60 | 0 | 87 | 92 | 78 | 117 | 63 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.00 | 1.30 | 1.37 | 1.16 | 1.75 | 0.94 |
time (sec) |
N/A | 0.008 | 0.013 | 0.029 | 0.000 | 0.348 | 0.112 | 0.003 | 0.197 | 2.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | F | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 91 | 251 | 0 | 298 | 994 | 412 | 61 | 443 |
N.S. | 1 | 1.00 | 0.46 | 1.28 | 0.00 | 1.52 | 5.07 | 2.10 | 0.31 | 2.26 |
time (sec) |
N/A | 0.100 | 0.038 | 0.061 | 0.000 | 0.360 | 0.644 | 0.086 | 0.225 | 17.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | F | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 91 | 253 | 0 | 268 | 24 | 410 | 132 | 33 |
N.S. | 1 | 1.00 | 0.46 | 1.29 | 0.00 | 1.37 | 0.12 | 2.09 | 0.67 | 0.17 |
time (sec) |
N/A | 0.092 | 0.049 | 0.061 | 0.000 | 0.330 | 0.315 | 0.085 | 0.110 | 2.075 |
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 | 75 | 66 | 65 | 65 | 83 | 89 | 88 | 65 |
N.S. | 1 | 1.00 | 1.03 | 0.90 | 0.89 | 0.89 | 1.14 | 1.22 | 1.21 | 0.89 |
time (sec) |
N/A | 0.066 | 0.010 | 0.040 | 0.342 | 0.325 | 0.136 | 0.000 | 0.091 | 2.232 |
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 | 138 | 138 | 122 | 111 | 112 | 176 | 14 | 182 | 140 | 21 |
N.S. | 1 | 1.00 | 0.88 | 0.80 | 0.81 | 1.28 | 0.10 | 1.32 | 1.01 | 0.15 |
time (sec) |
N/A | 0.128 | 0.025 | 0.083 | 0.346 | 0.419 | 0.297 | 0.002 | 0.210 | 1.980 |
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 | 138 | 138 | 115 | 95 | 107 | 279 | 14 | 173 | 135 | 21 |
N.S. | 1 | 1.00 | 0.83 | 0.69 | 0.78 | 2.02 | 0.10 | 1.25 | 0.98 | 0.15 |
time (sec) |
N/A | 0.227 | 0.016 | 0.098 | 0.354 | 0.337 | 0.142 | 0.002 | 0.129 | 1.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 339 | 339 | 209 | 22 | 0 | 1043 | 14 | 337 | 288 | 21 |
N.S. | 1 | 1.00 | 0.62 | 0.06 | 0.00 | 3.08 | 0.04 | 0.99 | 0.85 | 0.06 |
time (sec) |
N/A | 0.192 | 0.005 | 0.027 | 0.000 | 0.345 | 1.129 | 0.004 | 0.304 | 2.790 |
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 | 97 | 97 | 98 | 61 | 88 | 116 | 44 | 131 | 45 | 46 |
N.S. | 1 | 1.00 | 1.01 | 0.63 | 0.91 | 1.20 | 0.45 | 1.35 | 0.46 | 0.47 |
time (sec) |
N/A | 0.032 | 0.015 | 0.038 | 0.346 | 0.344 | 85.044 | 0.000 | 0.165 | 60.599 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | C | F | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 42 | 30 | 0 | 220 | 165 | 297 | 53 | 124 |
N.S. | 1 | 1.00 | 0.15 | 0.11 | 0.00 | 0.80 | 0.60 | 1.08 | 0.19 | 0.45 |
time (sec) |
N/A | 0.176 | 0.009 | 0.016 | 0.000 | 0.335 | 0.108 | 0.005 | 0.100 | 3.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 260 | 41 | 40 | 40 | 46 | 51 | 52 | 40 |
N.S. | 1 | 1.00 | 5.31 | 0.84 | 0.82 | 0.82 | 0.94 | 1.04 | 1.06 | 0.82 |
time (sec) |
N/A | 0.025 | 0.073 | 0.027 | 0.358 | 0.321 | 0.088 | 0.001 | 0.219 | 1.953 |
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 | 9 | 8 | 8 | 5 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 0.62 | 0.88 | 0.75 | 0.75 |
time (sec) |
N/A | 0.001 | 0.001 | 0.003 | 0.270 | 0.325 | 0.038 | 0.000 | 0.023 | 1.560 |
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 | 13 | 12 | 16 | 9 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 0.71 | 0.94 | 0.53 | 0.65 |
time (sec) |
N/A | 0.002 | 0.001 | 0.000 | 0.266 | 0.325 | 0.045 | 0.000 | 0.034 | 1.640 |
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 | 13 | 12 | 16 | 9 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 0.76 | 0.71 | 0.94 | 0.53 | 0.65 |
time (sec) |
N/A | 0.004 | 0.002 | 0.003 | 0.279 | 0.322 | 0.046 | 0.000 | 0.032 | 1.595 |
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 | 0.006 | 0.006 | 0.014 | 0.267 | 0.337 | 0.219 | 0.000 | 0.239 | 2.092 |
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 | 15 | 15 | 15 | 16 | 12 | 15 | 15 | 16 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 0.80 | 1.00 | 1.00 | 1.07 | 0.80 | 0.80 |
time (sec) |
N/A | 0.002 | 0.001 | 0.000 | 0.265 | 0.332 | 0.047 | 0.000 | 0.030 | 1.612 |
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 | 127 | 127 | 127 | 104 | 71 | 103 | 133 | 132 | 71 | 71 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.56 | 0.81 | 1.05 | 1.04 | 0.56 | 0.56 |
time (sec) |
N/A | 0.083 | 0.003 | 0.007 | 0.267 | 0.361 | 0.176 | 0.002 | 0.177 | 2.242 |
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 | 5 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.62 | 0.88 | 0.75 | 0.75 |
time (sec) |
N/A | 0.007 | 0.002 | 0.007 | 0.260 | 0.327 | 0.058 | 0.000 | 0.060 | 1.600 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 9 | 3 | 2 | 2 | 3 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 4.50 | 1.50 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.004 | 0.291 | 0.309 | 0.232 | 0.000 | 0.004 | 1.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 4 | 11 | 5 | 4 | 3 | 5 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 2.75 | 1.25 | 1.00 | 0.75 | 1.25 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.005 | 0.010 | 0.277 | 0.390 | 0.246 | 0.000 | 0.016 | 1.693 |
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 | 0.007 | 0.004 | 0.000 | 0.268 | 0.322 | 0.049 | 0.000 | 0.120 | 1.514 |
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 | 17 | 17 | 17 | 15 | 6 | 19 | 14 | 0 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.35 | 1.12 | 0.82 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.020 | 0.018 | 0.007 | 0.290 | 0.325 | 0.333 | 0.000 | 0.030 | 1.844 |
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 | 0.010 | 0.003 | 0.013 | 0.261 | 0.341 | 0.443 | 0.000 | 0.146 | 1.957 |
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 | 0.006 | 0.266 | 0.351 | 0.060 | 0.001 | 0.141 | 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 | 54 | 54 | 53 | 48 | 47 | 47 | 44 | 52 | 47 | 44 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.87 | 0.87 | 0.81 | 0.96 | 0.87 | 0.81 |
time (sec) |
N/A | 0.017 | 0.008 | 0.020 | 0.296 | 0.337 | 0.070 | 0.001 | 0.170 | 2.079 |
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 | 0.025 | 0.274 | 0.333 | 0.121 | 0.001 | 0.232 | 2.170 |
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 | 53 | 44 | 39 | 42 | 65 | 66 | 38 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 0.96 | 0.85 | 0.91 | 1.41 | 1.43 | 0.83 |
time (sec) |
N/A | 0.015 | 0.011 | 0.015 | 0.263 | 0.339 | 0.090 | 0.001 | 0.189 | 2.195 |
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 | 59 | 82 | 57 | 49 | 54 | 104 | 75 | 49 |
N.S. | 1 | 1.00 | 1.00 | 1.39 | 0.97 | 0.83 | 0.92 | 1.76 | 1.27 | 0.83 |
time (sec) |
N/A | 0.021 | 0.013 | 0.013 | 0.271 | 0.335 | 0.097 | 0.001 | 0.182 | 2.361 |
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 | 23 | 23 | 23 | 24 | 23 | 23 | 36 | 31 | 23 | 32 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.00 | 1.57 | 1.35 | 1.00 | 1.39 |
time (sec) |
N/A | 0.005 | 0.002 | 0.017 | 0.346 | 0.324 | 0.079 | 0.001 | 0.066 | 2.123 |
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 | 26 | 29 | 28 | 23 | 31 | 28 | 51 | 32 |
N.S. | 1 | 1.00 | 0.96 | 1.07 | 1.04 | 0.85 | 1.15 | 1.04 | 1.89 | 1.19 |
time (sec) |
N/A | 0.014 | 0.003 | 0.013 | 0.267 | 0.317 | 0.079 | 0.001 | 0.041 | 1.959 |
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 | 44 | 44 | 44 | 37 | 36 | 36 | 53 | 50 | 65 | 45 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.82 | 0.82 | 1.20 | 1.14 | 1.48 | 1.02 |
time (sec) |
N/A | 0.015 | 0.002 | 0.018 | 0.344 | 0.327 | 0.094 | 0.002 | 0.036 | 2.199 |
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 | 54 | 54 | 54 | 45 | 44 | 44 | 63 | 61 | 73 | 53 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.81 | 0.81 | 1.17 | 1.13 | 1.35 | 0.98 |
time (sec) |
N/A | 0.016 | 0.002 | 0.021 | 0.349 | 0.333 | 0.100 | 0.002 | 0.128 | 2.282 |
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 | 32 | 31 | 31 | 29 | 37 | 25 | 32 |
N.S. | 1 | 1.00 | 1.00 | 1.28 | 1.24 | 1.24 | 1.16 | 1.48 | 1.00 | 1.28 |
time (sec) |
N/A | 0.006 | 0.003 | 0.014 | 0.281 | 0.403 | 0.082 | 0.001 | 0.074 | 2.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
N/A | A | A | A | A | A | A | A | A | F(-2) |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.12 | 0.00 |
time (sec) |
N/A | 0.004 | 0.025 | 0.025 | 0.000 | 0.341 | 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 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 3 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 1.25 | 1.00 | 1.00 | 0.75 | 0.75 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.013 | 0.264 | 0.336 | 0.026 | 0.000 | 0.021 | 1.670 |
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 | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 2 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.013 | 0.267 | 0.333 | 0.026 | 0.000 | 0.027 | 1.518 |
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 | 5 | 5 | 5 | 6 | 3 | 11 | 5 | 5 | 5 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.20 | 0.60 | 2.20 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.011 | 0.285 | 0.341 | 0.029 | 0.001 | 0.029 | 1.643 |
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 | 3 | 3 | 3 | 4 | 3 | 16 | 3 | 20 | 13 | 3 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 5.33 | 1.00 | 6.67 | 4.33 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.016 | 0.262 | 0.328 | 0.032 | 0.002 | 0.197 | 1.582 |
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 | 21 | 21 | 27 | 26 | 25 | 37 | 75 | 30 | 27 | 37 |
N.S. | 1 | 1.00 | 1.29 | 1.24 | 1.19 | 1.76 | 3.57 | 1.43 | 1.29 | 1.76 |
time (sec) |
N/A | 0.015 | 0.030 | 0.029 | 0.352 | 0.339 | 0.174 | 0.002 | 0.246 | 2.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 33 | 7 | 15 | 17 | 15 | 30 | 11 | 15 |
N.S. | 1 | 1.00 | 11.00 | 2.33 | 5.00 | 5.67 | 5.00 | 10.00 | 3.67 | 5.00 |
time (sec) |
N/A | 0.002 | 0.004 | 0.017 | 0.278 | 0.338 | 0.051 | 0.001 | 0.129 | 1.825 |
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 | 5 | 5 | 17 | 9 | 15 | 19 | 15 | 11 | 5 | 15 |
N.S. | 1 | 1.00 | 3.40 | 1.80 | 3.00 | 3.80 | 3.00 | 2.20 | 1.00 | 3.00 |
time (sec) |
N/A | 0.001 | 0.004 | 0.020 | 0.268 | 0.336 | 0.051 | 0.001 | 0.045 | 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 | 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 | 0.301 | 0.344 | 0.028 | 0.000 | 0.032 | 1.749 |
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 | 20 | 20 | 20 | 17 | 16 | 16 | 15 | 17 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 0.75 | 0.85 | 0.80 | 0.80 |
time (sec) |
N/A | 0.010 | 0.002 | 0.022 | 0.257 | 0.326 | 0.153 | 0.001 | 0.158 | 1.847 |
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 | 15 | 11 | 11 | 11 | 8 | 11 | 10 | 10 |
N.S. | 1 | 1.00 | 1.15 | 0.85 | 0.85 | 0.85 | 0.62 | 0.85 | 0.77 | 0.77 |
time (sec) |
N/A | 0.004 | 0.002 | 0.000 | 0.253 | 0.328 | 0.034 | 0.000 | 0.034 | 1.703 |
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 | 35 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.80 | 0.00 |
time (sec) |
N/A | 0.005 | 0.031 | 0.017 | 0.000 | 0.336 | 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 | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 15 | 18 | 17 | 18 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.95 | 0.89 | 0.95 | 0.79 | 0.79 |
time (sec) |
N/A | 0.013 | 0.003 | 0.027 | 0.258 | 0.339 | 0.229 | 0.001 | 0.045 | 2.016 |
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 | 0.000 | 0.252 | 0.329 | 0.028 | 0.000 | 0.026 | 1.747 |
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 | 0.013 | 0.253 | 0.329 | 0.030 | 0.000 | 0.031 | 1.753 |
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 | 2 | 2 | 2 | 3 | 2 | 7 | 5 | 6 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 3.50 | 2.50 | 3.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.003 | 0.002 | 0.039 | 0.273 | 0.323 | 0.028 | 0.000 | 0.023 | 1.772 |
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 | 15 | 15 | 15 | 7 | 11 | 10 | 20 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.47 | 0.73 | 0.67 | 1.33 | 0.53 | 0.40 | 0.40 |
time (sec) |
N/A | 0.005 | 0.006 | 0.028 | 0.264 | 0.351 | 0.142 | 0.000 | 0.028 | 1.949 |
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 | 9 | 8 | 8 | 7 | 8 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 0.88 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.005 | 0.002 | 0.011 | 0.258 | 0.331 | 0.071 | 0.000 | 0.021 | 1.815 |
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 | 17 | 17 | 15 | 18 | 15 | 15 | 17 | 15 | 15 | 17 |
N.S. | 1 | 1.00 | 0.88 | 1.06 | 0.88 | 0.88 | 1.00 | 0.88 | 0.88 | 1.00 |
time (sec) |
N/A | 0.012 | 0.011 | 0.000 | 0.248 | 0.329 | 0.102 | 0.000 | 0.028 | 1.846 |
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 | 25 | 25 | 25 | 25 | 19 | 19 | 36 | 28 | 19 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.76 | 0.76 | 1.44 | 1.12 | 0.76 | 0.80 |
time (sec) |
N/A | 0.008 | 0.008 | 0.000 | 0.274 | 0.322 | 0.105 | 0.001 | 0.055 | 2.036 |
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 | 29 | 37 | 26 | 29 | 56 | 35 | 28 | 28 |
N.S. | 1 | 1.00 | 0.71 | 0.90 | 0.63 | 0.71 | 1.37 | 0.85 | 0.68 | 0.68 |
time (sec) |
N/A | 0.019 | 0.026 | 0.017 | 0.256 | 0.321 | 0.155 | 0.001 | 0.155 | 2.209 |
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 | 31 | 23 | 23 | 23 | 39 | 32 | 25 | 25 |
N.S. | 1 | 1.00 | 0.94 | 0.70 | 0.70 | 0.70 | 1.18 | 0.97 | 0.76 | 0.76 |
time (sec) |
N/A | 0.013 | 0.007 | 0.023 | 0.253 | 0.324 | 0.154 | 0.000 | 0.066 | 2.106 |
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 | 8 | 7 | 7 | 7 | 7 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 1.14 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.005 | 0.002 | 0.019 | 0.270 | 0.313 | 0.070 | 0.000 | 0.019 | 1.787 |
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 | 14 | 17 | 14 | 14 | 17 | 16 | 14 | 16 |
N.S. | 1 | 1.00 | 0.88 | 1.06 | 0.88 | 0.88 | 1.06 | 1.00 | 0.88 | 1.00 |
time (sec) |
N/A | 0.013 | 0.010 | 0.020 | 0.273 | 0.322 | 0.102 | 0.000 | 0.026 | 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 | 25 | 25 | 25 | 25 | 19 | 19 | 36 | 26 | 19 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.76 | 0.76 | 1.44 | 1.04 | 0.76 | 0.80 |
time (sec) |
N/A | 0.009 | 0.008 | 0.022 | 0.275 | 0.346 | 0.105 | 0.000 | 0.151 | 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 | 41 | 41 | 29 | 37 | 26 | 29 | 56 | 35 | 28 | 28 |
N.S. | 1 | 1.00 | 0.71 | 0.90 | 0.63 | 0.71 | 1.37 | 0.85 | 0.68 | 0.68 |
time (sec) |
N/A | 0.019 | 0.026 | 0.034 | 0.257 | 0.348 | 0.154 | 0.000 | 0.065 | 2.131 |
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 | 31 | 23 | 23 | 25 | 39 | 30 | 25 | 24 |
N.S. | 1 | 1.00 | 0.94 | 0.70 | 0.70 | 0.76 | 1.18 | 0.91 | 0.76 | 0.73 |
time (sec) |
N/A | 0.014 | 0.007 | 0.032 | 0.253 | 0.322 | 0.154 | 0.000 | 0.169 | 2.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | A | A | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 13 | 2 | 2 | 2 | -1 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 6.50 | 1.00 | 1.00 | 1.00 | -0.50 | 1.00 |
time (sec) |
N/A | 0.007 | 0.009 | 0.012 | 0.300 | 0.323 | 0.314 | 0.001 | 0.000 | 1.940 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | B | B | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 13 | 11 | 12 | 2 | -1 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 6.50 | 5.50 | 6.00 | 1.00 | -0.50 | 6.50 |
time (sec) |
N/A | 0.007 | 0.002 | 0.033 | 0.288 | 0.424 | 0.463 | 0.001 | 0.000 | 2.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | A | B | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 10 | 11 | 15 | 20 | 17 | 11 | -1 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.50 | 2.00 | 1.70 | 1.10 | -0.10 | 2.00 |
time (sec) |
N/A | 0.014 | 0.002 | 0.036 | 0.289 | 0.317 | 0.720 | 0.002 | 0.000 | 2.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | A | A | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 17 | 17 | 10 | 16 | -1 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 1.13 | 1.13 | 0.67 | 1.07 | -0.07 | 0.73 |
time (sec) |
N/A | 0.022 | 0.009 | 0.031 | 0.294 | 0.327 | 0.575 | 0.001 | 0.000 | 2.283 |
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 | 17 | 20 | 18 | 12 | 16 | 16 | 10 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 1.67 | 1.50 | 1.00 | 1.33 | 1.33 | 0.83 |
time (sec) |
N/A | 0.004 | 0.003 | 0.015 | 0.280 | 0.344 | 0.046 | 0.001 | 0.021 | 1.676 |
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 | 11 | 11 | 22 | 12 | 11 | 11 | 14 | 10 | 11 | 21 |
N.S. | 1 | 1.00 | 2.00 | 1.09 | 1.00 | 1.00 | 1.27 | 0.91 | 1.00 | 1.91 |
time (sec) |
N/A | 0.002 | 0.007 | 0.019 | 0.264 | 0.325 | 0.064 | 0.000 | 0.021 | 1.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 21 | 11 | 10 | 10 | 12 | 9 | 10 | 20 |
N.S. | 1 | 1.00 | 2.10 | 1.10 | 1.00 | 1.00 | 1.20 | 0.90 | 1.00 | 2.00 |
time (sec) |
N/A | 0.002 | 0.007 | 0.021 | 0.248 | 0.311 | 0.063 | 0.000 | 0.022 | 1.729 |
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 | 17 | 11 | 18 | 19 | 12 | 16 | 26 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 0.92 | 1.50 | 1.58 | 1.00 | 1.33 | 2.17 |
time (sec) |
N/A | 0.002 | 0.007 | 0.012 | 0.266 | 0.322 | 0.064 | 0.002 | 0.234 | 2.218 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 19 | 26 | 11 | 27 | 29 | 57 | 28 | 37 |
N.S. | 1 | 1.00 | 1.73 | 2.36 | 1.00 | 2.45 | 2.64 | 5.18 | 2.55 | 3.36 |
time (sec) |
N/A | 0.002 | 0.007 | 0.014 | 0.263 | 0.324 | 0.172 | 0.011 | 0.190 | 2.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 38 | 21 | 26 | 30 | 17 | 17 | 12 | 26 |
N.S. | 1 | 1.00 | 3.17 | 1.75 | 2.17 | 2.50 | 1.42 | 1.42 | 1.00 | 2.17 |
time (sec) |
N/A | 0.002 | 0.013 | 0.033 | 0.258 | 0.341 | 0.276 | 0.002 | 0.117 | 1.962 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 19 | 26 | 28 | 34 | 48 | 11 | 43 |
N.S. | 1 | 1.00 | 1.00 | 1.73 | 2.36 | 2.55 | 3.09 | 4.36 | 1.00 | 3.91 |
time (sec) |
N/A | 0.003 | 0.002 | 0.027 | 0.268 | 0.337 | 0.314 | 0.005 | 0.024 | 2.367 |
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 | 25 | 25 | 23 | 27 | 24 | 23 | 46 | 24 | 18 | 32 |
N.S. | 1 | 1.00 | 0.92 | 1.08 | 0.96 | 0.92 | 1.84 | 0.96 | 0.72 | 1.28 |
time (sec) |
N/A | 0.006 | 0.020 | 0.027 | 0.256 | 0.324 | 0.097 | 0.001 | 0.209 | 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 | 27 | 27 | 29 | 22 | 22 | 22 | 37 | 29 | 24 | 34 |
N.S. | 1 | 1.00 | 1.07 | 0.81 | 0.81 | 0.81 | 1.37 | 1.07 | 0.89 | 1.26 |
time (sec) |
N/A | 0.006 | 0.009 | 0.038 | 0.267 | 0.325 | 0.128 | 0.001 | 0.147 | 2.378 |
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 | 25 | 25 | 23 | 27 | 22 | 22 | 46 | 23 | 18 | 32 |
N.S. | 1 | 1.00 | 0.92 | 1.08 | 0.88 | 0.88 | 1.84 | 0.92 | 0.72 | 1.28 |
time (sec) |
N/A | 0.005 | 0.014 | 0.031 | 0.285 | 0.318 | 0.095 | 0.001 | 0.177 | 2.575 |
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 | 26 | 26 | 26 | 22 | 22 | 21 | 36 | 22 | 24 | 34 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.85 | 0.81 | 1.38 | 0.85 | 0.92 | 1.31 |
time (sec) |
N/A | 0.006 | 0.006 | 0.036 | 0.276 | 0.327 | 0.145 | 0.001 | 0.025 | 2.286 |
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 | 10 | 10 | 10 | 11 | 10 | 18 | 58 | 12 | 10 | 76 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.00 | 1.80 | 5.80 | 1.20 | 1.00 | 7.60 |
time (sec) |
N/A | 0.005 | 0.003 | 0.027 | 0.274 | 0.311 | 0.541 | 0.001 | 0.145 | 2.447 |
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 | 0.005 | 0.003 | 0.016 | 0.274 | 0.310 | 0.099 | 0.000 | 0.171 | 1.696 |
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 | 0.006 | 0.008 | 0.018 | 0.257 | 0.302 | 0.170 | 0.001 | 0.166 | 1.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 23 | 11 | 15 | 18 | 8 | 11 | 10 | 10 |
N.S. | 1 | 1.00 | 2.30 | 1.10 | 1.50 | 1.80 | 0.80 | 1.10 | 1.00 | 1.00 |
time (sec) |
N/A | 0.004 | 0.007 | 0.020 | 0.254 | 0.299 | 0.185 | 0.001 | 0.024 | 1.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 25 | 11 | 15 | 17 | 8 | 11 | 10 | 10 |
N.S. | 1 | 1.00 | 2.27 | 1.00 | 1.36 | 1.55 | 0.73 | 1.00 | 0.91 | 0.91 |
time (sec) |
N/A | 0.005 | 0.008 | 0.032 | 0.304 | 0.303 | 0.191 | 0.003 | 0.034 | 1.830 |
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 | 40 | 40 | 40 | 39 | 0 | 148 | 141 | 57 | 45 | 176 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.00 | 3.70 | 3.52 | 1.42 | 1.12 | 4.40 |
time (sec) |
N/A | 0.026 | 0.026 | 0.048 | 0.000 | 0.323 | 2.958 | 0.004 | 0.383 | 6.884 |
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 | 47 | 47 | 44 | 43 | 0 | 287 | 1872 | 69 | 58 | 477 |
N.S. |
1 | 1.00 | 0.94 | 0.91 | 0.00 | 6.11 | 39.83 | 1.47 | 1.23 | 10.15 |
time (sec) |
N/A | 0.037 | 0.043 | 0.094 | 0.000 | 0.340 | 65.066 | 0.005 | 0.260 | 242.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 47 | 158 | 117 | 54 | 105 | 71 | 52 | 69 |
N.S. | 1 | 1.00 | 0.64 | 2.16 | 1.60 | 0.74 | 1.44 | 0.97 | 0.71 | 0.95 |
time (sec) |
N/A | 0.027 | 0.093 | 0.038 | 0.292 | 0.320 | 0.209 | 0.004 | 0.137 | 3.306 |
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 | 15 | 15 | 15 | 12 | 11 | 12 | 20 | 13 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.80 | 1.33 | 0.87 | 0.60 | 0.60 |
time (sec) |
N/A | 0.005 | 0.006 | 0.042 | 0.258 | 0.311 | 0.143 | 0.000 | 0.025 | 2.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 47 | 158 | 113 | 54 | 105 | 71 | 52 | 69 |
N.S. | 1 | 1.00 | 0.64 | 2.16 | 1.55 | 0.74 | 1.44 | 0.97 | 0.71 | 0.95 |
time (sec) |
N/A | 0.026 | 0.085 | 0.042 | 0.274 | 0.314 | 0.208 | 0.003 | 0.103 | 3.303 |
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 | 14 | 14 | 14 | 22 | 14 | 31 | 14 | 34 | 21 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.57 | 1.00 | 2.21 | 1.00 | 2.43 | 1.50 | 0.86 |
time (sec) |
N/A | 0.006 | 0.003 | 0.017 | 0.287 | 0.307 | 0.046 | 0.002 | 0.168 | 1.896 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | C | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 101 | 138 | 491 | 182 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.33 | 4.72 | 1.75 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.140 | 0.115 | 0.054 | 0.399 | 0.323 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | C | F | F | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 133 | 237 | 777 | 212 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.55 | 5.08 | 1.39 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 0.255 | 0.233 | 0.045 | 0.632 | 0.325 | 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 | 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 | 0.010 | 0.012 | 0.013 | 0.343 | 0.313 | 0.075 | 0.006 | 0.022 | 2.062 |
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 | 15 | 12 | 11 | 13 | 26 | 14 | 13 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.73 | 0.87 | 1.73 | 0.93 | 0.87 | 0.73 |
time (sec) |
N/A | 0.005 | 0.008 | 0.057 | 0.263 | 0.311 | 0.144 | 0.001 | 0.044 | 2.115 |
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 | 0.016 | 0.005 | 0.046 | 0.257 | 0.302 | 0.033 | 0.000 | 0.044 | 1.958 |
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 | 0.007 | 0.028 | 0.272 | 0.301 | 0.033 | 0.001 | 0.064 | 1.886 |
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 | 32 | 32 | 22 | 33 | 25 | 22 | 104 | 381 | 22 | 88 |
N.S. | 1 | 1.00 | 0.69 | 1.03 | 0.78 | 0.69 | 3.25 | 11.91 | 0.69 | 2.75 |
time (sec) |
N/A | 0.007 | 0.016 | 0.033 | 0.267 | 0.315 | 0.295 | 0.003 | 0.024 | 2.832 |
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 | 87 |
N.S. | 1 | 1.00 | 0.65 | 1.03 | 0.77 | 0.65 | 3.45 | 12.35 | 0.65 | 2.81 |
time (sec) |
N/A | 0.005 | 0.014 | 0.031 | 0.268 | 0.315 | 0.294 | 0.007 | 0.017 | 2.730 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 50 | 58 | 60 | 60 | 308 | 1369 | 57 | 249 |
N.S. | 1 | 1.00 | 0.60 | 0.69 | 0.71 | 0.71 | 3.67 | 16.30 | 0.68 | 2.96 |
time (sec) |
N/A | 0.032 | 0.037 | 0.042 | 0.274 | 0.316 | 0.509 | 0.004 | 0.285 | 3.643 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 49 | 56 | 58 | 58 | 304 | 1373 | 55 | 245 |
N.S. | 1 | 1.00 | 0.59 | 0.67 | 0.70 | 0.70 | 3.66 | 16.54 | 0.66 | 2.95 |
time (sec) |
N/A | 0.029 | 0.035 | 0.039 | 0.288 | 0.306 | 0.502 | 0.004 | 0.213 | 3.633 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 94 | 102 | 107 | 115 | 665 | 3343 | 133 | 549 |
N.S. | 1 | 1.00 | 0.58 | 0.63 | 0.66 | 0.71 | 4.10 | 20.64 | 0.82 | 3.39 |
time (sec) |
N/A | 0.113 | 0.061 | 0.057 | 0.316 | 0.311 | 1.058 | 0.005 | 0.392 | 4.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 93 | 100 | 105 | 111 | 668 | 3351 | 132 | 547 |
N.S. | 1 | 1.00 | 0.58 | 0.62 | 0.65 | 0.69 | 4.15 | 20.81 | 0.82 | 3.40 |
time (sec) |
N/A | 0.109 | 0.053 | 0.057 | 0.273 | 0.315 | 1.045 | 0.005 | 0.348 | 5.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 261 | 261 | 169 | 166 | 186 | 203 | 1355 | 6997 | 231 | 1128 |
N.S. | 1 | 1.00 | 0.65 | 0.64 | 0.71 | 0.78 | 5.19 | 26.81 | 0.89 | 4.32 |
time (sec) |
N/A | 0.273 | 0.105 | 0.074 | 0.292 | 0.310 | 2.196 | 0.008 | 0.627 | 9.866 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | C | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 168 | 164 | 184 | 202 | 1352 | 6997 | 232 | 1126 |
N.S. | 1 | 1.00 | 0.65 | 0.63 | 0.71 | 0.78 | 5.20 | 26.91 | 0.89 | 4.33 |
time (sec) |
N/A | 0.266 | 0.086 | 0.073 | 0.282 | 0.320 | 2.157 | 0.008 | 0.640 | 14.776 |
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 | 25 | 25 | 25 | 20 | 19 | 17 | 114 | 18 | 14 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.68 | 4.56 | 0.72 | 0.56 | 0.80 |
time (sec) |
N/A | 0.018 | 0.011 | 0.063 | 0.258 | 0.319 | 1.260 | 0.001 | 0.166 | 6.831 |
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 | 30 | 30 | 30 | 23 | 22 | 25 | 116 | 26 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.83 | 3.87 | 0.87 | 0.73 | 0.73 |
time (sec) |
N/A | 0.019 | 0.011 | 0.061 | 0.254 | 0.321 | 1.249 | 0.001 | 0.276 | 3.781 |
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 | 85 | 85 | 55 | 64 | 55 | 59 | 100 | 103 | 67 | 63 |
N.S. | 1 | 1.00 | 0.65 | 0.75 | 0.65 | 0.69 | 1.18 | 1.21 | 0.79 | 0.74 |
time (sec) |
N/A | 0.041 | 0.052 | 0.067 | 0.255 | 0.317 | 0.280 | 0.001 | 0.230 | 2.976 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
N/A | A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 0 | 0 | 0 | 240 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 17.14 | 0.00 | 0.00 | 0.00 | -0.07 | 0.00 |
time (sec) |
N/A | 0.297 | 0.580 | 0.262 | 0.258 | 0.320 | 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 | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 41 | 16 | 0 | 33 | 10 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 3.42 | 1.33 | 0.00 | 2.75 | 0.83 | 0.00 |
time (sec) |
N/A | 0.024 | 0.010 | 0.069 | 0.252 | 0.318 | 0.000 | 0.008 | 0.175 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 76 | 107 | 0 | 312 | 0 | 114 | 133 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.39 | 0.00 | 4.05 | 0.00 | 1.48 | 1.73 | 0.00 |
time (sec) |
N/A | 0.065 | 0.175 | 0.153 | 0.000 | 0.342 | 0.000 | 0.008 | 0.485 | 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 | 17 | 17 | 17 | 14 | 12 | 13 | 15 | 16 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.71 | 0.76 | 0.88 | 0.94 | 0.76 | 0.76 |
time (sec) |
N/A | 0.002 | 0.003 | 0.023 | 0.253 | 0.319 | 0.128 | 0.000 | 0.133 | 1.946 |
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 | 0.018 | 0.265 | 0.319 | 0.126 | 0.000 | 0.148 | 1.981 |
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 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 4 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.67 | 0.67 | 0.67 | 0.67 | 0.67 | 1.33 |
time (sec) |
N/A | 0.001 | 0.000 | 0.007 | 0.256 | 0.292 | 0.018 | 0.000 | 0.007 | 1.685 |
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 | 8 | 8 | 8 | 9 | 8 | 8 | 8 | 7 | 8 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 1.00 | 0.88 | 1.00 | 2.00 |
time (sec) |
N/A | 0.002 | 0.000 | 0.012 | 0.252 | 0.336 | 0.043 | 0.000 | 0.155 | 1.807 |
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 | 9 | 9 | 9 | 9 | 8 | 8 | 7 | 7 | 8 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.89 | 0.89 | 0.78 | 0.78 | 0.89 | 1.78 |
time (sec) |
N/A | 0.001 | 0.004 | 0.008 | 0.255 | 0.291 | 0.031 | 0.000 | 0.027 | 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 | 4 | 4 | 4 | 9 | 4 | 4 | 3 | 4 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 2.25 | 1.00 | 1.00 | 0.75 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.007 | 0.009 | 0.013 | 0.299 | 0.306 | 0.330 | 0.000 | 0.014 | 1.976 |
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 | 0.014 | 0.257 | 0.313 | 0.062 | 0.001 | 0.093 | 1.914 |
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 | 9 | 10 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 0.75 | 0.83 | 1.00 |
time (sec) |
N/A | 0.013 | 0.012 | 0.012 | 0.269 | 0.311 | 0.045 | 0.000 | 0.045 | 1.768 |
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 | 13 | 13 | 13 | 15 | 14 | 12 | 14 | 13 | 14 | 20 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 1.08 | 0.92 | 1.08 | 1.00 | 1.08 | 1.54 |
time (sec) |
N/A | 0.005 | 0.006 | 0.010 | 0.262 | 0.303 | 0.044 | 0.000 | 0.052 | 1.796 |
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 | 31 | 31 | 31 | 22 | 23 | 85 | 26 | 26 | 21 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.71 | 0.74 | 2.74 | 0.84 | 0.84 | 0.68 | 1.03 |
time (sec) |
N/A | 0.019 | 0.026 | 0.020 | 0.354 | 0.336 | 0.090 | 0.001 | 0.228 | 2.106 |
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 | 21 | 21 | 14 | 19 | 13 | 13 | 19 | 14 | 13 | 27 |
N.S. | 1 | 1.00 | 0.67 | 0.90 | 0.62 | 0.62 | 0.90 | 0.67 | 0.62 | 1.29 |
time (sec) |
N/A | 0.006 | 0.009 | 0.010 | 0.265 | 0.306 | 0.048 | 0.000 | 0.027 | 1.949 |
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 | 163 | 163 | 102 | 143 | 101 | 101 | 102 | 111 | 101 | 102 |
N.S. | 1 | 1.00 | 0.63 | 0.88 | 0.62 | 0.62 | 0.63 | 0.68 | 0.62 | 0.63 |
time (sec) |
N/A | 0.149 | 0.068 | 0.035 | 0.264 | 0.303 | 0.061 | 0.000 | 0.362 | 2.341 |
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 | 18 | 18 | 18 | 19 | 0 | 18 | 0 | 0 | 18 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.014 | 0.015 | 0.024 | 0.000 | 0.310 | 0.000 | 0.000 | 0.204 | 0.000 |
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 | 14 | 14 | 14 | 15 | 0 | 14 | 31 | 263 | 14 | 40 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 0.00 | 1.00 | 2.21 | 18.79 | 1.00 | 2.86 |
time (sec) |
N/A | 0.010 | 0.012 | 0.022 | 0.000 | 0.311 | 0.262 | 0.004 | 0.167 | 2.056 |
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 | 17 | 17 | 17 | 21 | 10 | 19 | 0 | 0 | 19 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.24 | 0.59 | 1.12 | 0.00 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.012 | 0.013 | 0.029 | 0.310 | 0.300 | 0.000 | 0.000 | 0.131 | 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 | 64 | 64 | 43 | 79 | 0 | 54 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.23 | 0.00 | 0.84 | 0.00 | 0.00 | -0.02 | 0.00 |
time (sec) |
N/A | 0.063 | 0.131 | 0.040 | 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 | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 16 | 16 | 16 | 12 | 15 | 15 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.75 | 0.94 | 0.94 | 1.00 |
time (sec) |
N/A | 0.020 | 0.048 | 0.027 | 0.314 | 0.297 | 0.062 | 0.001 | 0.196 | 1.900 |
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 | 13 | 13 | 13 | 12 | 11 | 11 | 15 | 11 | 11 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 1.15 | 0.85 | 0.85 | 1.77 |
time (sec) |
N/A | 0.005 | 0.010 | 0.015 | 0.258 | 0.303 | 0.049 | 0.000 | 0.026 | 1.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | A | A | C | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 8 | 9 | 7 | 8 | 11 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.73 | 0.82 | 0.64 | 0.73 | 1.00 | 0.64 | 0.64 |
time (sec) |
N/A | 0.002 | 0.011 | 0.016 | 0.268 | 0.310 | 0.083 | 0.000 | 0.017 | 1.881 |
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 | 7 | 6 | 6 | 5 | 7 | 6 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.67 | 0.67 | 0.56 | 0.78 | 0.67 | 0.78 |
time (sec) |
N/A | 0.004 | 0.008 | 0.007 | 0.274 | 0.321 | 0.040 | 0.000 | 0.018 | 1.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | C | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 17 | 25 | 17 | 17 | 14 | 20 | 17 | 17 |
N.S. | 1 | 1.00 | 0.63 | 0.93 | 0.63 | 0.63 | 0.52 | 0.74 | 0.63 | 0.63 |
time (sec) |
N/A | 0.067 | 0.009 | 0.022 | 0.296 | 0.299 | 0.049 | 0.001 | 0.158 | 1.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | F | A | A | A | A | A | A | F | A |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 25 | 23 | 22 | 36 | 31 | 35 | -1 | 25 |
N.S. | 1 | 0.00 | 1.00 | 0.92 | 0.88 | 1.44 | 1.24 | 1.40 | -0.04 | 1.00 |
time (sec) |
N/A | 0.659 | 0.113 | 0.046 | 0.319 | 0.311 | 0.122 | 0.013 | 0.000 | 2.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
N/A | A | A | A | A | A | A | A | A | F(-2) |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.08 | 0.00 |
time (sec) |
N/A | 0.031 | 0.016 | 0.010 | 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 | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 10 | 10 | 8 | 9 | 10 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 0.91 | 0.91 | 0.73 | 0.82 | 0.91 | 1.00 |
time (sec) |
N/A | 0.010 | 0.005 | 0.015 | 0.283 | 0.309 | 0.973 | 0.000 | 0.026 | 2.639 |
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 | 17 | 21 | 15 | 15 | 17 | 14 | 28 | 17 |
N.S. | 1 | 1.00 | 0.77 | 0.95 | 0.68 | 0.68 | 0.77 | 0.64 | 1.27 | 0.77 |
time (sec) |
N/A | 0.033 | 0.009 | 0.014 | 0.284 | 0.304 | 1.649 | 0.001 | 0.219 | 3.423 |
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 | 17 | 28 | 11 | 11 | 10 | 12 | 11 | 12 |
N.S. | 1 | 1.00 | 0.74 | 1.22 | 0.48 | 0.48 | 0.43 | 0.52 | 0.48 | 0.52 |
time (sec) |
N/A | 0.007 | 0.005 | 0.010 | 0.251 | 0.306 | 0.048 | 0.000 | 0.042 | 1.695 |
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 | 16 | 19 | 12 | 12 | 12 | 19 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.19 | 0.75 | 0.75 | 0.75 | 1.19 | 0.75 | 0.75 |
time (sec) |
N/A | 0.002 | 0.000 | 0.017 | 0.342 | 0.293 | 0.026 | 0.000 | 0.030 | 1.677 |
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 | 57 | 57 | 43 | 43 | 58 | 89 | 1166 | 70 | 49 | 1019 |
N.S. | 1 | 1.00 | 0.75 | 0.75 | 1.02 | 1.56 | 20.46 | 1.23 | 0.86 | 17.88 |
time (sec) |
N/A | 0.019 | 0.017 | 0.036 | 0.334 | 0.340 | 2.004 | 0.002 | 0.094 | 14.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 95 | 140 | 0 | 300 | 0 | 299 | 88 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.21 | 0.00 | 2.59 | 0.00 | 2.58 | 0.76 | 0.00 |
time (sec) |
N/A | 0.045 | 0.219 | 0.039 | 0.000 | 0.324 | 0.000 | 0.021 | 0.169 | 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 | 16 | 16 | 16 | 13 | 12 | 12 | 12 | 21 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 0.75 | 1.31 | 0.75 | 0.75 |
time (sec) |
N/A | 0.001 | 0.007 | 0.026 | 0.253 | 0.298 | 0.027 | 0.000 | 0.025 | 1.639 |
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 | 34 | 34 | 34 | 26 | 26 | 30 | 202 | 99 | 25 | 96 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.76 | 0.88 | 5.94 | 2.91 | 0.74 | 2.82 |
time (sec) |
N/A | 0.006 | 0.014 | 0.035 | 0.250 | 0.301 | 0.556 | 0.001 | 0.030 | 3.803 |
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 | 53 | 53 | 35 | 38 | 41 | 42 | 666 | 145 | 37 | 184 |
N.S. | 1 | 1.00 | 0.66 | 0.72 | 0.77 | 0.79 | 12.57 | 2.74 | 0.70 | 3.47 |
time (sec) |
N/A | 0.009 | 0.018 | 0.041 | 0.289 | 0.301 | 0.848 | 0.001 | 0.148 | 7.661 |
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 | 35 | 35 | 35 | 28 | 42 | 73 | 68 | 42 | 27 | 74 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 1.20 | 2.09 | 1.94 | 1.20 | 0.77 | 2.11 |
time (sec) |
N/A | 0.007 | 0.020 | 0.031 | 0.348 | 0.321 | 0.685 | 0.001 | 0.146 | 2.900 |
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 | 37 | 47 | 93 | 44 | 58 | 31 | 38 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 1.21 | 2.38 | 1.13 | 1.49 | 0.79 | 0.97 |
time (sec) |
N/A | 0.007 | 0.048 | 0.032 | 0.335 | 0.313 | 0.889 | 0.002 | 0.054 | 2.857 |
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 | 13 | 12 | 12 | 10 | 13 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.86 | 0.86 | 0.71 | 0.93 | 0.86 | 0.86 |
time (sec) |
N/A | 0.001 | 0.006 | 0.026 | 0.297 | 0.291 | 0.027 | 0.000 | 0.018 | 1.664 |
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 | 32 | 32 | 23 | 26 | 26 | 19 | 162 | 36 | 25 | 73 |
N.S. | 1 | 1.00 | 0.72 | 0.81 | 0.81 | 0.59 | 5.06 | 1.12 | 0.78 | 2.28 |
time (sec) |
N/A | 0.005 | 0.012 | 0.026 | 0.251 | 0.300 | 0.547 | 0.001 | 0.029 | 3.343 |
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 | 51 | 51 | 35 | 37 | 41 | 31 | 600 | 61 | 37 | 160 |
N.S. | 1 | 1.00 | 0.69 | 0.73 | 0.80 | 0.61 | 11.76 | 1.20 | 0.73 | 3.14 |
time (sec) |
N/A | 0.008 | 0.019 | 0.027 | 0.260 | 0.305 | 0.852 | 0.001 | 0.038 | 7.174 |
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 | 18 | 32 | 56 | 24 | 27 | 17 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 1.39 | 2.43 | 1.04 | 1.17 | 0.74 | 0.70 |
time (sec) |
N/A | 0.005 | 0.015 | 0.026 | 0.339 | 0.320 | 0.480 | 0.001 | 0.144 | 2.240 |
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 | 40 | 60 | 93 | 44 | 65 | 33 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.98 | 1.46 | 2.27 | 1.07 | 1.59 | 0.80 | 0.98 |
time (sec) |
N/A | 0.008 | 0.043 | 0.031 | 0.338 | 0.323 | 1.132 | 0.001 | 0.159 | 3.127 |
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 | 23 | 23 | 24 | 25 | 21 | 25 | 24 | 22 | 21 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.09 | 0.91 | 1.09 | 1.04 | 0.96 | 0.91 | 0.00 |
time (sec) |
N/A | 0.003 | 0.019 | 0.029 | 0.256 | 0.316 | 0.030 | 0.000 | 0.251 | 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 | 48 | 48 | 38 | 43 | 45 | 58 | 216 | 95 | 94 | 226 |
N.S. | 1 | 1.00 | 0.79 | 0.90 | 0.94 | 1.21 | 4.50 | 1.98 | 1.96 | 4.71 |
time (sec) |
N/A | 0.010 | 0.026 | 0.031 | 0.263 | 0.302 | 0.248 | 0.002 | 0.448 | 2.584 |
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 | 55 | 55 | 48 | 37 | 52 | 37 | 230 | 72 | 43 | 96 |
N.S. | 1 | 1.00 | 0.87 | 0.67 | 0.95 | 0.67 | 4.18 | 1.31 | 0.78 | 1.75 |
time (sec) |
N/A | 0.020 | 0.023 | 0.050 | 0.393 | 0.343 | 0.428 | 0.000 | 0.162 | 3.846 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 38 | 11 | 14 | 14 | 2 | 15 | 10 | 2 |
N.S. | 1 | 1.00 | 3.17 | 0.92 | 1.17 | 1.17 | 0.17 | 1.25 | 0.83 | 0.17 |
time (sec) |
N/A | 0.001 | 0.002 | 0.053 | 0.253 | 0.311 | 0.063 | 0.001 | 0.197 | 1.639 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 37 | 50 | 71 | 34 | 119 | 51 | 30 | 83 |
N.S. | 1 | 1.00 | 0.86 | 1.16 | 1.65 | 0.79 | 2.77 | 1.19 | 0.70 | 1.93 |
time (sec) |
N/A | 0.004 | 0.035 | 0.034 | 0.254 | 0.326 | 1.564 | 0.002 | 0.217 | 3.607 |
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 | 17 | 16 | 16 | 20 | 22 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.91 | 1.00 | 0.73 | 0.73 |
time (sec) |
N/A | 0.007 | 0.011 | 0.013 | 0.264 | 0.317 | 0.104 | 0.001 | 0.245 | 1.792 |
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 | 18 | 8 | 14 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.38 | 0.62 | 1.08 | 0.85 | 0.85 |
time (sec) |
N/A | 0.002 | 0.002 | 0.049 | 0.255 | 0.310 | 0.305 | 0.001 | 0.348 | 1.870 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 20 | 7 | 16 | 18 | 19 | 7 | 16 | 21 |
N.S. | 1 | 1.00 | 2.50 | 0.88 | 2.00 | 2.25 | 2.38 | 0.88 | 2.00 | 2.62 |
time (sec) |
N/A | 0.002 | 0.060 | 0.132 | 0.342 | 0.312 | 0.419 | 0.002 | 0.312 | 2.054 |
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 | 14 | 14 | 14 | 11 | 25 | 25 | 8 | 35 | 10 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 1.79 | 1.79 | 0.57 | 2.50 | 0.71 | 0.43 |
time (sec) |
N/A | 0.004 | 0.012 | 0.095 | 0.260 | 0.306 | 0.414 | 0.001 | 0.186 | 2.027 |
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 | 18 | 18 | 26 | 14 | 0 | 22 | 0 | 26 | 18 | 0 |
N.S. |
1 | 1.00 | 1.44 | 0.78 | 0.00 | 1.22 | 0.00 | 1.44 | 1.00 | 0.00 |
time (sec) |
N/A | 0.011 | 0.048 | 0.075 | 0.000 | 0.304 | 0.000 | 0.003 | 0.359 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | C | C | F | F | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 27 | 23 | 17 | 55 | 0 | 0 | 32 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.77 | 0.57 | 1.83 | 0.00 | 0.00 | 1.07 | 0.00 |
time (sec) |
N/A | 0.014 | 0.046 | 0.139 | 0.356 | 0.317 | 0.000 | 0.000 | 0.538 | 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 | 17 | 17 | 17 | 19 | 14 | 17 | 0 | 48 | 14 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.12 | 0.82 | 1.00 | 0.00 | 2.82 | 0.82 | 0.00 |
time (sec) |
N/A | 0.006 | 0.121 | 0.038 | 0.347 | 0.303 | 0.000 | 0.004 | 0.151 | 0.000 |
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 | 2 | 2 | 12 | 3 | 2 | 14 | 2 | 14 | 2 | 2 |
N.S. | 1 | 1.00 | 6.00 | 1.50 | 1.00 | 7.00 | 1.00 | 7.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.011 | 0.041 | 0.384 | 0.306 | 0.062 | 0.001 | 0.028 | 1.646 |
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 | 20 | 20 | 30 | 15 | 14 | 14 | 17 | 0 | 14 | 14 |
N.S. | 1 | 1.00 | 1.50 | 0.75 | 0.70 | 0.70 | 0.85 | 0.00 | 0.70 | 0.70 |
time (sec) |
N/A | 0.600 | 0.016 | 0.051 | 0.272 | 0.302 | 0.255 | 0.000 | 0.345 | 1.816 |
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 | 24 | 24 | 24 | 21 | 30 | 20 | 19 | 0 | 20 | 20 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 1.25 | 0.83 | 0.79 | 0.00 | 0.83 | 0.83 |
time (sec) |
N/A | 0.198 | 13.736 | 0.070 | 0.391 | 0.319 | 0.308 | 0.000 | 0.310 | 1.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 71 | 24 | 31 | 29 | 8 | 33 | 23 | 9 |
N.S. | 1 | 1.00 | 2.63 | 0.89 | 1.15 | 1.07 | 0.30 | 1.22 | 0.85 | 0.33 |
time (sec) |
N/A | 0.005 | 0.006 | 0.057 | 0.264 | 0.309 | 0.083 | 0.002 | 0.687 | 1.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | F | A | C | F | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 82 | 25 | 0 | 216 | 51 | 0 | -1 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.30 | 0.00 | 2.63 | 0.62 | 0.00 | -0.01 | 0.40 |
time (sec) |
N/A | 0.047 | 0.067 | 0.026 | 0.000 | 0.331 | 1.728 | 0.000 | 0.000 | 3.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 39 | 40 | 29 | 48 | 19 | 169 | 40 |
N.S. | 1 | 1.00 | 1.00 | 3.25 | 3.33 | 2.42 | 4.00 | 1.58 | 14.08 | 3.33 |
time (sec) |
N/A | 0.033 | 0.012 | 0.113 | 0.352 | 0.298 | 1.209 | 0.001 | 0.061 | 50.647 |
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 | 40 | 40 | 40 | 33 | 36 | 85 | 66 | 42 | 32 | 54 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.90 | 2.12 | 1.65 | 1.05 | 0.80 | 1.35 |
time (sec) |
N/A | 0.008 | 0.007 | 0.036 | 0.262 | 0.334 | 0.501 | 0.002 | 0.479 | 2.339 |
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 | 46 | 46 | 46 | 66 | 57 | 41 | 42 | 46 | 40 | 42 |
N.S. | 1 | 1.00 | 1.00 | 1.43 | 1.24 | 0.89 | 0.91 | 1.00 | 0.87 | 0.91 |
time (sec) |
N/A | 0.022 | 0.025 | 0.041 | 0.346 | 0.299 | 0.545 | 0.001 | 0.665 | 2.566 |
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 | 37 | 45 | 52 | 40 | 52 | 0 | 42 | 51 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.41 | 1.08 | 1.41 | 0.00 | 1.14 | 1.38 | 0.00 |
time (sec) |
N/A | 0.011 | 0.079 | 0.116 | 0.377 | 0.324 | 0.000 | 0.009 | 0.105 | 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 | 61 | 61 | 66 | 74 | 77 | 97 | 0 | 54 | 72 | 0 |
N.S. |
1 | 1.00 | 1.08 | 1.21 | 1.26 | 1.59 | 0.00 | 0.89 | 1.18 | 0.00 |
time (sec) |
N/A | 0.015 | 0.106 | 0.129 | 0.367 | 0.308 | 0.000 | 0.011 | 0.246 | 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 | 23 | 23 | 23 | 20 | 19 | 19 | 29 | 22 | 19 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.83 | 0.83 | 1.26 | 0.96 | 0.83 | 1.61 |
time (sec) |
N/A | 0.003 | 0.003 | 0.040 | 0.258 | 0.297 | 0.228 | 0.000 | 0.289 | 2.131 |
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 | 25 | 24 | 24 | 36 | 18 | 24 | 48 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.86 | 0.86 | 1.29 | 0.64 | 0.86 | 1.71 |
time (sec) |
N/A | 0.003 | 0.003 | 0.043 | 0.251 | 0.314 | 0.303 | 0.001 | 0.272 | 2.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | F(-2) | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 150 | 47 | 0 | 155 | 0 | 72 | 50 | 0 |
N.S. |
1 | 1.00 | 2.68 | 0.84 | 0.00 | 2.77 | 0.00 | 1.29 | 0.89 | 0.00 |
time (sec) |
N/A | 0.026 | 0.177 | 0.026 | 0.000 | 0.331 | 0.000 | 0.010 | 0.979 | 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 | 81 | 81 | 86 | 70 | 68 | 94 | 0 | 96 | 67 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.86 | 0.84 | 1.16 | 0.00 | 1.19 | 0.83 | 0.00 |
time (sec) |
N/A | 0.019 | 0.183 | 0.117 | 0.255 | 0.323 | 0.000 | 0.010 | 0.237 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 53 | 56 | 0 | 58 | 0 | 43 | 54 | 0 |
N.S. |
1 | 1.00 | 1.20 | 1.27 | 0.00 | 1.32 | 0.00 | 0.98 | 1.23 | 0.00 |
time (sec) |
N/A | 0.026 | 0.075 | 0.028 | 0.000 | 0.308 | 0.000 | 0.012 | 0.400 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F(-2) | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 72 | 78 | 0 | 106 | 0 | 43 | 72 | 0 |
N.S. |
1 | 1.00 | 1.06 | 1.15 | 0.00 | 1.56 | 0.00 | 0.63 | 1.06 | 0.00 |
time (sec) |
N/A | 0.032 | 0.111 | 0.028 | 0.000 | 0.318 | 0.000 | 0.012 | 0.442 | 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 | 13 | 13 | 13 | 12 | 11 | 22 | 10 | 14 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 1.69 | 0.77 | 1.08 | 0.85 | 0.85 |
time (sec) |
N/A | 0.011 | 0.005 | 0.039 | 0.262 | 0.307 | 0.101 | 0.010 | 0.089 | 1.963 |
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 | 19 | 16 | 15 | 11 | 17 | 19 | 11 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.79 | 0.58 | 0.89 | 1.00 | 0.58 | 0.68 |
time (sec) |
N/A | 0.004 | 0.002 | 0.008 | 0.259 | 0.297 | 0.051 | 0.001 | 0.165 | 1.741 |
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 | 21 | 20 | 12 | 10 | 12 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.75 | 1.67 | 1.00 | 0.83 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.006 | 0.020 | 0.025 | 0.259 | 0.340 | 0.072 | 0.001 | 0.083 | 1.946 |
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 | 11 | 10 | 10 | 7 | 8 | 10 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.91 | 0.91 | 0.64 | 0.73 | 0.91 | 1.00 |
time (sec) |
N/A | 0.016 | 0.007 | 0.013 | 0.292 | 0.307 | 0.073 | 0.002 | 0.216 | 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 | 27 | 27 | 27 | 24 | 23 | 22 | 20 | 26 | 22 | 22 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.85 | 0.81 | 0.74 | 0.96 | 0.81 | 0.81 |
time (sec) |
N/A | 0.012 | 0.004 | 0.026 | 0.318 | 0.298 | 0.069 | 0.000 | 0.154 | 1.840 |
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 | 33 | 33 | 21 | 32 | 20 | 50 | 167 | 46 | 15 | 89 |
N.S. | 1 | 1.00 | 0.64 | 0.97 | 0.61 | 1.52 | 5.06 | 1.39 | 0.45 | 2.70 |
time (sec) |
N/A | 0.002 | 0.046 | 0.033 | 0.254 | 0.297 | 2.903 | 0.005 | 0.299 | 5.344 |
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 | 10 | 8 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.00 | 0.78 | 1.11 | 0.89 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.031 | 0.269 | 0.330 | 0.045 | 0.000 | 0.197 | 1.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 14 | 28 | 28 | 39 | 52 | 13 | 28 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 1.47 | 1.47 | 2.05 | 2.74 | 0.68 | 1.47 |
time (sec) |
N/A | 0.004 | 0.020 | 0.072 | 0.349 | 0.304 | 0.116 | 0.001 | 0.075 | 2.072 |
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 | 16 | 12 | 11 | 14 | 15 | 23 | 12 | 12 |
N.S. | 1 | 1.00 | 0.84 | 0.63 | 0.58 | 0.74 | 0.79 | 1.21 | 0.63 | 0.63 |
time (sec) |
N/A | 0.002 | 0.008 | 0.012 | 0.262 | 0.321 | 0.516 | 0.000 | 0.024 | 2.099 |
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 | 88 | 88 | 112 | 89 | 86 | 104 | 153 | 139 | 119 | 87 |
N.S. | 1 | 1.00 | 1.27 | 1.01 | 0.98 | 1.18 | 1.74 | 1.58 | 1.35 | 0.99 |
time (sec) |
N/A | 0.027 | 0.063 | 0.039 | 0.344 | 0.326 | 0.920 | 0.005 | 0.181 | 3.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 34 | 9 | 7 | 17 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 3.78 | 1.00 | 0.78 | 1.89 | 1.00 | 1.00 |
time (sec) |
N/A | 0.007 | 0.004 | 0.016 | 0.259 | 0.299 | 0.077 | 0.000 | 0.021 | 1.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 34 | 9 | 7 | 18 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 3.78 | 1.00 | 0.78 | 2.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.007 | 0.003 | 0.015 | 0.256 | 0.294 | 0.075 | 0.000 | 0.026 | 1.775 |
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 | 9 | 9 | 9 | 8 | 7 | 26 | 7 | 15 | 7 | 7 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.78 | 2.89 | 0.78 | 1.67 | 0.78 | 0.78 |
time (sec) |
N/A | 0.002 | 0.005 | 0.014 | 0.268 | 0.302 | 0.067 | 0.001 | 0.186 | 1.838 |
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 | 12 | 12 | 12 | 16 | 13 | 26 | 22 | 27 | 13 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.08 | 2.17 | 1.83 | 2.25 | 1.08 | 2.42 |
time (sec) |
N/A | 0.021 | 0.068 | 0.032 | 0.249 | 0.313 | 0.168 | 0.016 | 0.321 | 2.096 |
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 | 28 | 28 | 28 | 23 | 22 | 32 | 75 | 27 | 22 | 26 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.79 | 1.14 | 2.68 | 0.96 | 0.79 | 0.93 |
time (sec) |
N/A | 0.016 | 0.015 | 0.051 | 0.268 | 0.316 | 0.351 | 0.001 | 0.332 | 2.777 |
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 | 13 | 15 | 19 | 14 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.71 | 0.62 | 0.71 | 0.90 | 0.67 | 0.71 |
time (sec) |
N/A | 0.005 | 0.003 | 0.000 | 0.343 | 0.306 | 0.093 | 0.001 | 0.019 | 1.746 |
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 | 21 | 21 | 21 | 16 | 15 | 13 | 15 | 21 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.71 | 0.62 | 0.71 | 1.00 | 0.71 | 0.71 |
time (sec) |
N/A | 0.005 | 0.003 | 0.034 | 0.356 | 0.304 | 0.095 | 0.002 | 0.048 | 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 | 23 | 23 | 22 | 23 | 22 | 19 | 26 | 22 | 41 | 26 |
N.S. | 1 | 1.00 | 0.96 | 1.00 | 0.96 | 0.83 | 1.13 | 0.96 | 1.78 | 1.13 |
time (sec) |
N/A | 0.012 | 0.003 | 0.012 | 0.256 | 0.301 | 0.075 | 0.000 | 0.144 | 1.827 |
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 | 18 | 18 | 18 | 15 | 14 | 28 | 32 | 17 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.56 | 1.78 | 0.94 | 0.78 | 0.78 |
time (sec) |
N/A | 0.011 | 0.015 | 0.066 | 0.258 | 0.322 | 0.142 | 0.001 | 0.026 | 2.025 |
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 | 18 | 18 | 18 | 15 | 14 | 28 | 32 | 18 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.56 | 1.78 | 1.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.008 | 0.010 | 0.047 | 0.267 | 0.311 | 0.144 | 0.001 | 0.024 | 2.019 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 40 | 17 | 0 | 24 | 0 | 29 | 16 | 0 |
N.S. |
1 | 1.00 | 3.33 | 1.42 | 0.00 | 2.00 | 0.00 | 2.42 | 1.33 | 0.00 |
time (sec) |
N/A | 0.004 | 0.009 | 0.062 | 0.000 | 0.296 | 0.000 | 0.003 | 0.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | F | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 42 | 23 | 0 | 26 | 0 | 46 | 18 | 0 |
N.S. |
1 | 1.00 | 3.00 | 1.64 | 0.00 | 1.86 | 0.00 | 3.29 | 1.29 | 0.00 |
time (sec) |
N/A | 0.006 | 0.008 | 0.087 | 0.000 | 0.310 | 0.000 | 0.003 | 0.136 | 0.000 |
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 | 12 | 12 | 16 | 22 | 9 | 10 | 36 | 18 | 10 | 12 |
N.S. | 1 | 1.00 | 1.33 | 1.83 | 0.75 | 0.83 | 3.00 | 1.50 | 0.83 | 1.00 |
time (sec) |
N/A | 0.005 | 0.006 | 0.043 | 0.385 | 0.309 | 0.373 | 0.002 | 0.145 | 2.365 |
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 | 14 | 14 | 18 | 22 | 20 | 18 | 0 | 29 | 12 | 0 |
N.S. |
1 | 1.00 | 1.29 | 1.57 | 1.43 | 1.29 | 0.00 | 2.07 | 0.86 | 0.00 |
time (sec) |
N/A | 0.006 | 0.007 | 0.052 | 0.350 | 0.302 | 0.000 | 0.002 | 0.033 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 17 | 14 | 0 | 13 | 63 | 43 | 21 | 30 |
N.S. | 1 | 1.00 | 0.81 | 0.67 | 0.00 | 0.62 | 3.00 | 2.05 | 1.00 | 1.43 |
time (sec) |
N/A | 0.005 | 0.063 | 0.025 | 0.000 | 0.297 | 0.225 | 0.003 | 0.193 | 2.262 |
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 | 31 | 18 | 18 | 20 | 22 | 18 | 18 |
N.S. | 1 | 1.00 | 0.92 | 1.29 | 0.75 | 0.75 | 0.83 | 0.92 | 0.75 | 0.75 |
time (sec) |
N/A | 0.007 | 0.010 | 0.039 | 0.272 | 0.298 | 0.063 | 0.001 | 0.106 | 1.769 |
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 | 12 | 12 | 18 | 9 | 33 | 16 | 7 | 19 | 8 | 8 |
N.S. | 1 | 1.00 | 1.50 | 0.75 | 2.75 | 1.33 | 0.58 | 1.58 | 0.67 | 0.67 |
time (sec) |
N/A | 0.003 | 0.060 | 0.079 | 0.264 | 0.293 | 0.423 | 0.002 | 0.037 | 2.032 |
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 | 32 | 32 | 33 | 92 | 24 | 24 | 0 | 39 | 24 | 0 |
N.S. |
1 | 1.00 | 1.03 | 2.88 | 0.75 | 0.75 | 0.00 | 1.22 | 0.75 | 0.00 |
time (sec) |
N/A | 0.008 | 0.020 | 0.033 | 0.266 | 0.297 | 0.000 | 0.001 | 0.030 | 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 | 33 | 33 | 33 | 27 | 26 | 32 | 31 | 41 | 26 | 26 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.79 | 0.97 | 0.94 | 1.24 | 0.79 | 0.79 |
time (sec) |
N/A | 0.006 | 0.009 | 0.017 | 0.424 | 0.313 | 0.065 | 0.001 | 0.060 | 1.968 |
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 | 3 | 3 | 3 | 4 | 3 | 11 | 3 | 4 | 3 | 3 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 3.67 | 1.00 | 1.33 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.004 | 0.271 | 0.316 | 0.029 | 0.001 | 0.025 | 1.618 |
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 | 12 | 12 | 18 | 16 | 16 | 48 | 19 | 52 | 10 | 12 |
N.S. | 1 | 1.00 | 1.50 | 1.33 | 1.33 | 4.00 | 1.58 | 4.33 | 0.83 | 1.00 |
time (sec) |
N/A | 0.007 | 0.003 | 0.001 | 0.360 | 0.323 | 0.034 | 0.002 | 0.028 | 1.879 |
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 | 0.002 | 0.009 | 0.283 | 0.309 | 0.060 | 0.001 | 0.011 | 1.965 |
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 | 0.008 | 0.271 | 0.317 | 0.154 | 0.001 | 0.137 | 2.047 |
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 | 8 | 8 | 8 | 9 | 8 | 8 | 8 | 7 | 8 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.00 | 1.00 | 0.88 | 1.00 | 2.00 |
time (sec) |
N/A | 0.002 | 0.000 | 0.012 | 0.271 | 0.313 | 0.042 | 0.000 | 0.165 | 1.693 |
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 | 29 | 32 | 10 | 10 | 0 | 11 | -1 | 0 |
N.S. |
1 | 1.00 | 0.59 | 0.65 | 0.20 | 0.20 | 0.00 | 0.22 | -0.02 | 0.00 |
time (sec) |
N/A | 0.010 | 0.006 | 0.013 | 0.358 | 0.311 | 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 | 16 | 16 | 17 | 13 | 12 | 12 | 12 | 17 | 10 | 12 |
N.S. | 1 | 1.00 | 1.06 | 0.81 | 0.75 | 0.75 | 0.75 | 1.06 | 0.62 | 0.75 |
time (sec) |
N/A | 0.005 | 0.002 | 0.028 | 0.357 | 0.317 | 0.036 | 0.000 | 0.145 | 1.732 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | F | F | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 36 | 0 | 0 | 30 | 0 | 51 | 32 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.75 | 0.00 | 1.28 | 0.80 | 0.00 |
time (sec) |
N/A | 0.014 | 0.007 | 0.003 | 0.000 | 0.321 | 0.000 | 0.005 | 0.042 | 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 | 128 | 128 | 67 | 63 | 58 | 55 | 109 | 71 | 69 | 72 |
N.S. | 1 | 1.00 | 0.52 | 0.49 | 0.45 | 0.43 | 0.85 | 0.55 | 0.54 | 0.56 |
time (sec) |
N/A | 0.121 | 0.119 | 0.041 | 0.280 | 0.313 | 0.723 | 0.001 | 0.278 | 3.075 |
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 | 0.018 | 0.026 | 0.265 | 0.329 | 0.185 | 0.000 | 0.171 | 1.886 |
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 | 11 | 11 | 9 | 8 | 7 | 17 | 17 | 9 | 7 | 19 |
N.S. | 1 | 1.00 | 0.82 | 0.73 | 0.64 | 1.55 | 1.55 | 0.82 | 0.64 | 1.73 |
time (sec) |
N/A | 0.001 | 0.001 | 0.038 | 0.273 | 0.307 | 0.049 | 0.000 | 0.066 | 1.774 |
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 | 33 | 32 | 32 | 41 | 43 | 46 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.80 | 0.80 | 1.02 | 1.08 | 1.15 | 0.80 |
time (sec) |
N/A | 0.013 | 0.007 | 0.036 | 0.341 | 0.315 | 0.065 | 0.001 | 0.115 | 1.880 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 23 | 22 | 17 | 17 | 15 | 24 | 6 | 17 |
N.S. | 1 | 1.00 | 2.88 | 2.75 | 2.12 | 2.12 | 1.88 | 3.00 | 0.75 | 2.12 |
time (sec) |
N/A | 0.002 | 0.003 | 0.034 | 0.252 | 0.301 | 0.047 | 0.000 | 0.067 | 1.707 |
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 | 227 | 227 | 194 | 394 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 1.00 | 0.85 | 1.74 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 | 0.00 |
time (sec) |
N/A | 0.125 | 0.185 | 0.043 | 0.000 | 0.305 | 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 | 24 | 24 | 30 | 26 | 25 | 24 | 37 | 29 | 51 | 30 |
N.S. | 1 | 1.00 | 1.25 | 1.08 | 1.04 | 1.00 | 1.54 | 1.21 | 2.12 | 1.25 |
time (sec) |
N/A | 0.006 | 0.005 | 0.011 | 0.255 | 0.303 | 0.681 | 0.000 | 0.443 | 2.478 |
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 | 78 | 78 | 71 | 54 | 57 | 69 | 73 | 93 | 70 | 49 |
N.S. | 1 | 1.00 | 0.91 | 0.69 | 0.73 | 0.88 | 0.94 | 1.19 | 0.90 | 0.63 |
time (sec) |
N/A | 0.029 | 0.016 | 0.027 | 0.340 | 0.308 | 0.150 | 0.001 | 0.272 | 2.130 |
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 | 2 | 2 | 12 | 3 | 2 | 14 | 2 | 14 | 2 | 2 |
N.S. | 1 | 1.00 | 6.00 | 1.50 | 1.00 | 7.00 | 1.00 | 7.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.001 | 0.028 | 0.390 | 0.314 | 0.061 | 0.001 | 0.002 | 1.592 |
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 | 31 | 21 | 20 | 25 | 24 | 33 | 20 | 20 |
N.S. | 1 | 1.00 | 1.15 | 0.78 | 0.74 | 0.93 | 0.89 | 1.22 | 0.74 | 0.74 |
time (sec) |
N/A | 0.002 | 0.020 | 0.049 | 0.353 | 0.312 | 0.083 | 0.001 | 0.048 | 1.824 |
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 | 16 | 8 | 10 | 10 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.00 | 1.60 | 0.80 | 1.00 | 1.00 | 1.60 |
time (sec) |
N/A | 0.003 | 0.003 | 0.028 | 0.249 | 0.302 | 0.037 | 0.000 | 0.031 | 1.639 |
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 | 16 | 15 | 14 | 14 | 12 | 15 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.75 | 0.94 | 0.88 | 0.88 |
time (sec) |
N/A | 0.003 | 0.001 | 0.003 | 0.338 | 0.317 | 0.060 | 0.000 | 0.220 | 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 | 40 | 40 | 29 | 34 | 33 | 24 | 32 | 59 | 24 | 33 |
N.S. | 1 | 1.00 | 0.72 | 0.85 | 0.82 | 0.60 | 0.80 | 1.48 | 0.60 | 0.82 |
time (sec) |
N/A | 0.015 | 0.009 | 0.004 | 0.337 | 0.315 | 0.111 | 0.003 | 0.029 | 1.907 |
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 | 21 | 29 | 14 | 13 | 29 | 0 | 14 | 9 | 0 |
N.S. |
1 | 1.00 | 1.38 | 0.67 | 0.62 | 1.38 | 0.00 | 0.67 | 0.43 | 0.00 |
time (sec) |
N/A | 0.076 | 0.022 | 0.105 | 0.264 | 0.318 | 0.000 | 0.002 | 0.810 | 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 | 19 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 1.36 | 0.71 | 0.71 |
time (sec) |
N/A | 0.004 | 0.002 | 0.018 | 0.264 | 0.318 | 0.030 | 0.001 | 0.002 | 1.667 |
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 | 18 | 18 | 18 | 17 | 16 | 18 | 14 | 16 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.89 | 1.00 | 0.78 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.009 | 0.003 | 0.043 | 0.266 | 0.317 | 0.059 | 0.000 | 0.152 | 1.730 |
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 | 10 | 10 | 20 | 7 | 6 | 16 | 7 | 21 | 6 | 6 |
N.S. | 1 | 1.00 | 2.00 | 0.70 | 0.60 | 1.60 | 0.70 | 2.10 | 0.60 | 0.60 |
time (sec) |
N/A | 0.001 | 0.011 | 0.047 | 0.348 | 0.318 | 0.069 | 0.001 | 0.038 | 1.649 |
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 | 6 | 6 | 12 | 5 | 4 | 14 | 3 | 14 | 4 | 4 |
N.S. | 1 | 1.00 | 2.00 | 0.83 | 0.67 | 2.33 | 0.50 | 2.33 | 0.67 | 0.67 |
time (sec) |
N/A | 0.001 | 0.011 | 0.047 | 0.370 | 0.321 | 0.066 | 0.001 | 0.029 | 1.624 |
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 | 17 | 16 | 16 | 22 | 23 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.76 | 0.76 | 1.05 | 1.10 | 0.76 | 0.76 |
time (sec) |
N/A | 0.011 | 0.007 | 0.159 | 0.344 | 0.311 | 0.056 | 0.000 | 0.142 | 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 | 53 | 53 | 51 | 42 | 47 | 73 | 46 | 52 | 45 | 50 |
N.S. | 1 | 1.00 | 0.96 | 0.79 | 0.89 | 1.38 | 0.87 | 0.98 | 0.85 | 0.94 |
time (sec) |
N/A | 0.019 | 0.015 | 0.020 | 0.345 | 0.312 | 0.088 | 0.001 | 0.061 | 2.016 |
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 | 49 | 46 | 41 | 41 | 762 | 46 | 46 | 41 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.84 | 0.84 | 15.55 | 0.94 | 0.94 | 0.84 |
time (sec) |
N/A | 0.049 | 0.025 | 0.044 | 0.264 | 0.333 | 55.713 | 0.001 | 0.210 | 65.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
N/A | A | A | A | A | A | A | A | A | F(-2) |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 | 0.00 |
time (sec) |
N/A | 0.003 | 2.635 | 0.055 | 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 | 28 | 28 | 28 | 28 | 27 | 44 | 26 | 71 | 27 | 37 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.96 | 1.57 | 0.93 | 2.54 | 0.96 | 1.32 |
time (sec) |
N/A | 0.133 | 33.446 | 0.190 | 0.290 | 0.317 | 0.173 | 0.012 | 0.338 | 1.966 |
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 | 199 | 199 | 136 | 128 | 160 | 145 | 1277 | 127 | 140 | 422 |
N.S. | 1 | 1.00 | 0.68 | 0.64 | 0.80 | 0.73 | 6.42 | 0.64 | 0.70 | 2.12 |
time (sec) |
N/A | 0.069 | 0.153 | 0.177 | 0.284 | 0.324 | 135.784 | 0.003 | 1.111 | 164.248 |
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 | 18 | 18 | 18 | 16 | 15 | 20 | 15 | 21 | 15 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.83 | 1.11 | 0.83 | 1.17 | 0.83 | 0.89 |
time (sec) |
N/A | 0.004 | 0.007 | 0.013 | 0.266 | 0.319 | 0.151 | 0.001 | 0.155 | 1.787 |
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 | 22 | 21 | 37 | 36 | 50 | 21 | 34 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.88 | 1.54 | 1.50 | 2.08 | 0.88 | 1.42 |
time (sec) |
N/A | 0.005 | 0.022 | 0.016 | 0.325 | 0.302 | 0.236 | 0.004 | 0.066 | 2.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | F | C | B | F | B | F | F | F | F(-1) |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 94 | 0 | 5137 | 1197351 | 0 | 179 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 54.65 | 12737.78 | 0.00 | 1.90 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 1.122 | 16.339 | 1.343 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | F | C | C | F | A | F | F | F | F(-2) |
verified |
N/A | N/A | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 0 | 630 | 354 | 0 | 223 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 4.44 | 2.49 | 0.00 | 1.57 | 0.00 | 0.00 | -0.01 | 0.00 |
time (sec) |
N/A | 1.940 | 3.476 | 0.339 | 0.000 | 0.367 | 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) | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 31 | 1088 | 171 | 162 | 0 | 98 | 172 | 17 |
N.S. |
1 | 1.00 | 1.48 | 51.81 | 8.14 | 7.71 | 0.00 | 4.67 | 8.19 | 0.81 |
time (sec) |
N/A | 0.171 | 0.567 | 0.199 | 0.345 | 0.302 | 0.000 | 0.014 | 2.373 | 261.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | F | C | A | F | F | F | F | F | F(-2) |
verified |
N/A | N/A | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4030 | 0 | 3168 | 4640 | 0 | 0 | 0 | 0 | -1 | 0 |
N.S. |
1 | 0.00 | 0.79 | 1.15 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 | 0.00 |
time (sec) |
N/A | 0.019 | 8.015 | 0.868 | 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 | C | F | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 330 | 330 | 181 | 1356 | 0 | 269 | 330 | 465 | 265 | 212 |
N.S. | 1 | 1.00 | 0.55 | 4.11 | 0.00 | 0.82 | 1.00 | 1.41 | 0.80 | 0.64 |
time (sec) |
N/A | 0.572 | 0.094 | 0.135 | 0.000 | 0.313 | 9.481 | 0.016 | 0.767 | 14.515 |
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 | 4 | 4 | 5 | 5 | 4 | 4 |
N.S. | 1 | 1.00 | 1.00 | 1.25 | 1.00 | 1.00 | 1.25 | 1.25 | 1.00 | 1.00 |
time (sec) |
N/A | 0.007 | 0.002 | 0.031 | 0.267 | 0.329 | 0.378 | 0.000 | 0.020 | 1.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | F | A | A | F | B | A | A | B | A |
verified |
N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 0 | 71 | 61 | 0 | 137 | 76 | 113 | 103 | 60 |
N.S. | 1 | 0.00 | 1.00 | 0.86 | 0.00 | 1.93 | 1.07 | 1.59 | 1.45 | 0.85 |
time (sec) |
N/A | 0.468 | 0.025 | 0.037 | 0.000 | 0.321 | 0.117 | 0.014 | 0.280 | 2.377 |