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 | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 10 | 12 | 10 | 20 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 0.91 | 1.09 | 0.91 | 1.82 | 1.73 |
time (sec) |
N/A | 0.002 | 0.001 | 0.006 | 0.268 | 0.362 | 0.026 | 0.000 | 0.321 | 1.707 |
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 | 0.000 | 0.256 | 0.317 | 0.018 | 0.000 | 0.006 | 1.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.002 | 0.255 | 0.336 | 0.024 | 0.000 | 0.002 | 1.599 |
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 | 0.008 | 0.260 | 0.327 | 0.042 | 0.000 | 0.185 | 1.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.000 | 0.269 | 0.334 | 0.026 | 0.000 | 0.020 | 1.655 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.000 | 0.260 | 0.341 | 0.026 | 0.000 | 0.003 | 1.573 |
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 | 0.004 | 0.003 | 0.014 | 0.257 | 0.344 | 0.030 | 0.001 | 0.023 | 1.649 |
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 | 4 | 4 | 4 | 5 | 6 | 8 | 7 | 8 | 4 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.25 | 1.50 | 2.00 | 1.75 | 2.00 | 1.00 | 1.50 |
time (sec) |
N/A | 0.003 | 0.002 | 0.016 | 0.256 | 0.362 | 0.030 | 0.002 | 0.009 | 1.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 4 | 4 | 3 | 3 | 12 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 2.00 | 2.00 | 1.50 | 1.50 | 6.00 | 4.00 |
time (sec) |
N/A | 0.004 | 0.002 | 0.017 | 0.264 | 0.322 | 0.031 | 0.001 | 0.265 | 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 | 4 | 4 | 4 | 5 | 6 | 6 | 5 | 4 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.25 | 1.50 | 1.50 | 1.25 | 1.00 | 1.50 | 1.50 |
time (sec) |
N/A | 0.004 | 0.002 | 0.013 | 0.256 | 0.335 | 0.031 | 0.000 | 0.261 | 1.777 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 9 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 4.50 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.011 | 0.256 | 0.354 | 0.057 | 0.000 | 0.019 | 1.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 2 | 2 | 2 | 3 | 2 | 2 | 2 | 10 | 2 | 2 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.00 | 5.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.010 | 0.262 | 0.318 | 0.055 | 0.000 | 0.016 | 1.681 |
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 | 0.003 | 0.260 | 0.328 | 0.028 | 0.001 | 0.027 | 1.756 |
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 | 0.001 | 0.002 | 0.003 | 0.251 | 0.353 | 0.029 | 0.001 | 0.002 | 1.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.015 | 0.258 | 0.327 | 0.071 | 0.000 | 0.021 | 1.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.000 | 0.256 | 0.315 | 0.039 | 0.000 | 0.018 | 1.697 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 12 | 17 | 11 | 11 | 10 | 12 | 11 | 12 |
N.S. | 1 | 1.00 | 0.63 | 0.89 | 0.58 | 0.58 | 0.53 | 0.63 | 0.58 | 0.63 |
time (sec) |
N/A | 0.009 | 0.004 | 0.000 | 0.261 | 0.328 | 0.041 | 0.000 | 0.023 | 1.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 14 | 11 | 13 | 15 | 15 | 11 | 14 |
N.S. | 1 | 1.00 | 0.74 | 0.74 | 0.58 | 0.68 | 0.79 | 0.79 | 0.58 | 0.74 |
time (sec) |
N/A | 0.005 | 0.005 | 0.013 | 0.259 | 0.340 | 0.102 | 0.000 | 0.002 | 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 | 15 | 15 | 15 | 14 | 13 | 13 | 12 | 15 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 1.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.002 | 0.002 | 0.031 | 0.257 | 0.342 | 0.077 | 0.000 | 0.157 | 1.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 15 | 15 | 11 | 11 | 10 | 12 | 11 | 12 |
N.S. | 1 | 1.00 | 0.75 | 0.75 | 0.55 | 0.55 | 0.50 | 0.60 | 0.55 | 0.60 |
time (sec) |
N/A | 0.004 | 0.007 | 0.012 | 0.256 | 0.325 | 0.040 | 0.000 | 0.019 | 1.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.000 | 0.266 | 0.363 | 0.071 | 0.000 | 0.002 | 1.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 14 | 14 | 18 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 0.78 | 1.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.006 | 0.009 | 0.023 | 0.258 | 0.345 | 0.074 | 0.001 | 0.028 | 1.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.256 | 0.323 | 0.044 | 0.001 | 0.002 | 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 | 29 | 29 | 25 | 24 | 21 | 21 | 27 | 26 | 23 | 23 |
N.S. | 1 | 1.00 | 0.86 | 0.83 | 0.72 | 0.72 | 0.93 | 0.90 | 0.79 | 0.79 |
time (sec) |
N/A | 0.015 | 0.019 | 0.030 | 0.255 | 0.342 | 0.102 | 0.001 | 0.065 | 1.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 25 | 24 | 21 | 21 | 24 | 25 | 24 | 23 |
N.S. | 1 | 1.00 | 0.86 | 0.83 | 0.72 | 0.72 | 0.83 | 0.86 | 0.83 | 0.79 |
time (sec) |
N/A | 0.014 | 0.019 | 0.023 | 0.271 | 0.328 | 0.104 | 0.000 | 0.030 | 1.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.002 | 0.000 | 0.258 | 0.329 | 0.047 | 0.000 | 0.032 | 1.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.002 | 0.001 | 0.002 | 0.335 | 0.347 | 0.060 | 0.000 | 0.002 | 1.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 18 | 14 | 17 | 24 | 18 | 18 | 14 |
N.S. | 1 | 1.00 | 0.78 | 0.78 | 0.61 | 0.74 | 1.04 | 0.78 | 0.78 | 0.61 |
time (sec) |
N/A | 0.008 | 0.003 | 0.017 | 0.272 | 0.343 | 0.102 | 0.000 | 0.046 | 1.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 9 | 74 | 18 | 0 | 116 | 8 | 105 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 9.25 | 2.25 | 0.00 | 14.50 | 1.00 | 13.12 |
time (sec) |
N/A | 0.011 | 0.004 | 0.023 | 0.347 | 0.344 | 0.000 | 0.014 | 0.022 | 4.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.006 | 0.260 | 0.329 | 0.044 | 0.001 | 0.028 | 1.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 17 | 24 | 16 | 16 | 15 | 17 | 16 | 17 |
N.S. | 1 | 1.00 | 0.63 | 0.89 | 0.59 | 0.59 | 0.56 | 0.63 | 0.59 | 0.63 |
time (sec) |
N/A | 0.017 | 0.010 | 0.011 | 0.264 | 0.337 | 0.041 | 0.000 | 0.018 | 1.738 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 22 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.81 | 0.70 | 0.74 |
time (sec) |
N/A | 0.007 | 0.025 | 0.024 | 0.259 | 0.374 | 0.106 | 0.001 | 0.027 | 1.893 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 22 | 17 | 21 | 20 | 22 | 17 | 20 |
N.S. | 1 | 1.00 | 0.74 | 0.81 | 0.63 | 0.78 | 0.74 | 0.81 | 0.63 | 0.74 |
time (sec) |
N/A | 0.007 | 0.021 | 0.026 | 0.261 | 0.330 | 0.182 | 0.001 | 0.026 | 1.893 |
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 | 0.003 | 0.015 | 0.261 | 0.318 | 0.074 | 0.000 | 0.019 | 1.814 |
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 | 19 | 19 | 19 | 19 | 57 | 18 | 20 | 34 | 18 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 3.00 | 0.95 | 1.05 | 1.79 | 0.95 | 1.53 |
time (sec) |
N/A | 0.010 | 0.011 | 0.026 | 0.268 | 0.344 | 0.093 | 0.001 | 0.060 | 1.954 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 11 | 15 | 9 | 9 | 7 | 8 | 9 | 11 |
N.S. | 1 | 1.00 | 0.69 | 0.94 | 0.56 | 0.56 | 0.44 | 0.50 | 0.56 | 0.69 |
time (sec) |
N/A | 0.006 | 0.004 | 0.000 | 0.264 | 0.331 | 0.039 | 0.000 | 0.021 | 1.707 |
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 | 15 | 14 | 13 | 14 | 105 | 27 | 9 | 98 |
N.S. | 1 | 1.00 | 0.71 | 0.67 | 0.62 | 0.67 | 5.00 | 1.29 | 0.43 | 4.67 |
time (sec) |
N/A | 0.004 | 0.003 | 0.042 | 0.259 | 0.344 | 0.881 | 0.001 | 0.031 | 2.949 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 14 | 17 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 0.78 | 0.94 | 0.78 | 0.78 |
time (sec) |
N/A | 0.006 | 0.008 | 0.034 | 0.255 | 0.332 | 0.073 | 0.001 | 0.020 | 1.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 16 | 24 | 14 | 14 | 12 | 14 | 14 | 16 |
N.S. | 1 | 1.00 | 0.62 | 0.92 | 0.54 | 0.54 | 0.46 | 0.54 | 0.54 | 0.62 |
time (sec) |
N/A | 0.011 | 0.011 | 0.008 | 0.255 | 0.311 | 0.042 | 0.000 | 0.029 | 1.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 12 | 16 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.89 | 0.89 | 0.67 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.002 | 0.002 | 0.003 | 0.342 | 0.344 | 0.061 | 0.001 | 0.169 | 1.784 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 104 | 20 | 0 | 56 | 9 | 35 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 11.56 | 2.22 | 0.00 | 6.22 | 1.00 | 3.89 |
time (sec) |
N/A | 0.009 | 0.012 | 0.020 | 0.262 | 0.342 | 0.000 | 0.016 | 0.147 | 2.259 |
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 | 17 | 17 | 17 | 14 | 13 | 25 | 26 | 16 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.47 | 1.53 | 0.94 | 0.76 | 0.76 |
time (sec) |
N/A | 0.005 | 0.007 | 0.094 | 0.251 | 0.345 | 0.144 | 0.002 | 0.040 | 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 | 17 | 17 | 17 | 9 | 13 | 14 | 22 | 12 | 13 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.53 | 0.76 | 0.82 | 1.29 | 0.71 | 0.76 | 0.59 |
time (sec) |
N/A | 0.005 | 0.008 | 0.032 | 0.257 | 0.337 | 0.144 | 0.000 | 0.173 | 2.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 11 | 10 | 10 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.00 | 0.91 | 0.91 | 0.73 | 0.73 |
time (sec) |
N/A | 0.006 | 0.003 | 0.126 | 0.246 | 0.330 | 0.215 | 0.000 | 0.201 | 1.900 |
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 | 22 | 22 | 14 | 17 | 11 | 11 | 10 | 12 | 11 | 12 |
N.S. | 1 | 1.00 | 0.64 | 0.77 | 0.50 | 0.50 | 0.45 | 0.55 | 0.50 | 0.55 |
time (sec) |
N/A | 0.011 | 0.014 | 0.010 | 0.249 | 0.326 | 0.042 | 0.000 | 0.029 | 1.736 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 9 | 9 | 12 | 8 | 7 | 8 | 8 | 9 |
N.S. | 1 | 1.00 | 0.60 | 0.60 | 0.80 | 0.53 | 0.47 | 0.53 | 0.53 | 0.60 |
time (sec) |
N/A | 0.005 | 0.015 | 0.010 | 0.261 | 0.316 | 0.041 | 0.000 | 0.033 | 1.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 14 | 15 | 14 | 14 | 14 | 17 | 14 | 14 |
N.S. | 1 | 1.00 | 0.74 | 0.79 | 0.74 | 0.74 | 0.74 | 0.89 | 0.74 | 0.74 |
time (sec) |
N/A | 0.006 | 0.007 | 0.016 | 0.359 | 0.326 | 0.049 | 0.000 | 0.023 | 1.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.015 | 0.264 | 0.333 | 0.125 | 0.000 | 0.167 | 2.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 17 | 11 | 11 | 20 | 15 | 11 | 12 |
N.S. | 1 | 1.00 | 0.67 | 0.71 | 0.46 | 0.46 | 0.83 | 0.62 | 0.46 | 0.50 |
time (sec) |
N/A | 0.005 | 0.006 | 0.000 | 0.257 | 0.337 | 0.079 | 0.000 | 0.021 | 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 | 14 | 14 | 12 | 10 | 9 | 9 | 8 | 10 | 7 | 7 |
N.S. | 1 | 1.00 | 0.86 | 0.71 | 0.64 | 0.64 | 0.57 | 0.71 | 0.50 | 0.50 |
time (sec) |
N/A | 0.001 | 0.001 | 0.004 | 0.263 | 0.321 | 0.041 | 0.000 | 0.024 | 1.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.007 | 0.254 | 0.347 | 0.129 | 0.000 | 0.022 | 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 | 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 | 0.006 | 0.011 | 0.010 | 0.257 | 0.337 | 0.105 | 0.001 | 0.244 | 1.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 0.75 | 0.80 | 0.80 | 0.80 |
time (sec) |
N/A | 0.010 | 0.008 | 0.036 | 0.261 | 0.360 | 0.319 | 0.000 | 0.194 | 2.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 19 | 24 | 16 | 16 | 15 | 18 | 16 | 18 |
N.S. | 1 | 1.00 | 0.68 | 0.86 | 0.57 | 0.57 | 0.54 | 0.64 | 0.57 | 0.64 |
time (sec) |
N/A | 0.018 | 0.015 | 0.012 | 0.267 | 0.338 | 0.061 | 0.000 | 0.028 | 1.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.346 | 0.343 | 0.094 | 0.001 | 0.019 | 1.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 15 | 21 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.89 | 0.89 | 0.83 | 1.17 | 0.89 | 0.89 |
time (sec) |
N/A | 0.008 | 0.012 | 0.036 | 0.258 | 0.328 | 0.077 | 0.001 | 0.023 | 1.851 |
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 | 15 | 14 | 13 | 14 | 105 | 27 | 9 | 98 |
N.S. | 1 | 1.00 | 0.71 | 0.67 | 0.62 | 0.67 | 5.00 | 1.29 | 0.43 | 4.67 |
time (sec) |
N/A | 0.004 | 0.003 | 0.038 | 0.258 | 0.322 | 0.899 | 0.001 | 0.017 | 2.914 |
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 | 18 | 18 | 14 | 15 | 10 | 14 | 14 | 13 | 10 | 10 |
N.S. | 1 | 1.00 | 0.78 | 0.83 | 0.56 | 0.78 | 0.78 | 0.72 | 0.56 | 0.56 |
time (sec) |
N/A | 0.004 | 0.006 | 0.023 | 0.262 | 0.345 | 0.029 | 0.001 | 0.050 | 1.769 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.015 | 0.255 | 0.336 | 0.028 | 0.000 | 0.002 | 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 | 24 | 24 | 22 | 18 | 16 | 19 | 24 | 20 | 16 | 16 |
N.S. | 1 | 1.00 | 0.92 | 0.75 | 0.67 | 0.79 | 1.00 | 0.83 | 0.67 | 0.67 |
time (sec) |
N/A | 0.007 | 0.002 | 0.000 | 0.253 | 0.337 | 0.030 | 0.000 | 0.031 | 1.878 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.255 | 0.376 | 0.029 | 0.000 | 0.034 | 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 | 17 | 17 | 31 | 18 | 13 | 13 | 12 | 16 | 14 | 13 |
N.S. | 1 | 1.00 | 1.82 | 1.06 | 0.76 | 0.76 | 0.71 | 0.94 | 0.82 | 0.76 |
time (sec) |
N/A | 0.015 | 0.013 | 0.032 | 0.270 | 0.317 | 0.030 | 0.000 | 0.039 | 1.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 31 | 30 | 13 | 22 | 12 | 16 | 14 | 13 |
N.S. | 1 | 1.00 | 1.82 | 1.76 | 0.76 | 1.29 | 0.71 | 0.94 | 0.82 | 0.76 |
time (sec) |
N/A | 0.015 | 0.012 | 0.029 | 0.265 | 0.339 | 0.030 | 0.000 | 0.151 | 1.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 30 | 29 | 18 | 25 | 31 | 28 | 24 | 32 |
N.S. | 1 | 1.00 | 0.83 | 0.81 | 0.50 | 0.69 | 0.86 | 0.78 | 0.67 | 0.89 |
time (sec) |
N/A | 0.028 | 0.010 | 0.027 | 0.269 | 0.322 | 0.029 | 0.001 | 0.044 | 1.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.015 | 0.004 | 0.016 | 0.269 | 0.371 | 0.032 | 0.001 | 0.041 | 1.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 18 | 19 | 14 | 18 | 37 | 28 | 14 | 14 |
N.S. | 1 | 1.00 | 0.82 | 0.86 | 0.64 | 0.82 | 1.68 | 1.27 | 0.64 | 0.64 |
time (sec) |
N/A | 0.005 | 0.009 | 0.042 | 0.267 | 0.359 | 0.078 | 0.001 | 0.261 | 2.024 |
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 | 20 | 20 | 20 | 15 | 14 | 31 | 37 | 18 | 18 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.75 | 0.70 | 1.55 | 1.85 | 0.90 | 0.90 | 0.95 |
time (sec) |
N/A | 0.010 | 0.009 | 0.067 | 0.266 | 0.335 | 0.145 | 0.002 | 0.146 | 2.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 28 | 19 | 19 | 19 | 28 | 19 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 0.76 | 0.76 | 0.76 | 1.12 | 0.76 | 0.76 |
time (sec) |
N/A | 0.019 | 0.015 | 0.021 | 0.261 | 0.334 | 0.033 | 0.000 | 0.050 | 1.817 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 24 | 24 | 25 | 36 | 32 | 22 | 32 |
N.S. | 1 | 1.00 | 0.88 | 0.71 | 0.71 | 0.74 | 1.06 | 0.94 | 0.65 | 0.94 |
time (sec) |
N/A | 0.009 | 0.002 | 0.000 | 0.261 | 0.324 | 0.031 | 0.001 | 0.036 | 1.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 24 | 24 | 25 | 36 | 31 | 22 | 32 |
N.S. | 1 | 1.00 | 0.88 | 0.71 | 0.71 | 0.74 | 1.06 | 0.91 | 0.65 | 0.94 |
time (sec) |
N/A | 0.011 | 0.003 | 0.066 | 0.262 | 0.397 | 0.028 | 0.000 | 0.035 | 1.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 30 | 36 | 18 | 33 | 41 | 28 | 37 | 34 |
N.S. | 1 | 1.00 | 0.65 | 0.78 | 0.39 | 0.72 | 0.89 | 0.61 | 0.80 | 0.74 |
time (sec) |
N/A | 0.022 | 0.014 | 0.034 | 0.268 | 0.340 | 0.031 | 0.002 | 0.071 | 2.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 23 | 17 | 17 | 17 | 17 | 22 | 17 | 17 |
N.S. | 1 | 1.00 | 1.10 | 0.81 | 0.81 | 0.81 | 0.81 | 1.05 | 0.81 | 0.81 |
time (sec) |
N/A | 0.004 | 0.002 | 0.020 | 0.278 | 0.341 | 0.031 | 0.000 | 0.038 | 1.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 22 | 36 | 16 | 31 | 31 | 21 | 32 | 22 |
N.S. | 1 | 1.00 | 0.48 | 0.78 | 0.35 | 0.67 | 0.67 | 0.46 | 0.70 | 0.48 |
time (sec) |
N/A | 0.033 | 0.008 | 0.031 | 0.273 | 0.353 | 0.033 | 0.001 | 0.042 | 1.949 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 34 | 39 | 13 | 17 | 0 | 29 | 13 | 0 |
N.S. |
1 | 1.00 | 1.62 | 1.86 | 0.62 | 0.81 | 0.00 | 1.38 | 0.62 | 0.00 |
time (sec) |
N/A | 0.014 | 0.044 | 0.060 | 0.265 | 0.330 | 0.000 | 0.001 | 0.086 | 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 | 21 | 21 | 18 | 14 | 13 | 14 | 170 | 28 | 25 | 17 |
N.S. | 1 | 1.00 | 0.86 | 0.67 | 0.62 | 0.67 | 8.10 | 1.33 | 1.19 | 0.81 |
time (sec) |
N/A | 0.014 | 0.009 | 0.046 | 0.261 | 0.339 | 4.873 | 0.001 | 0.207 | 8.347 |
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 | 19 | 19 | 18 | 14 | 12 | 13 | 39 | 22 | 12 | 12 |
N.S. | 1 | 1.00 | 0.95 | 0.74 | 0.63 | 0.68 | 2.05 | 1.16 | 0.63 | 0.63 |
time (sec) |
N/A | 0.012 | 0.021 | 0.031 | 0.262 | 0.344 | 0.113 | 0.001 | 0.273 | 1.990 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 15 | 15 | 15 | 22 | 18 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.79 | 0.79 | 1.16 | 0.95 | 0.74 | 0.74 |
time (sec) |
N/A | 0.008 | 0.013 | 0.029 | 0.267 | 0.321 | 0.151 | 0.001 | 0.177 | 1.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 14 | 10 | 13 | 16 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 1.14 | 1.00 | 0.71 | 0.93 | 1.14 | 0.86 |
time (sec) |
N/A | 0.008 | 0.005 | 0.024 | 0.326 | 0.347 | 0.041 | 0.001 | 0.199 | 1.765 |
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 | 22 | 22 | 20 | 29 | 20 | 37 | 20 | 28 | 32 | 18 |
N.S. | 1 | 1.00 | 0.91 | 1.32 | 0.91 | 1.68 | 0.91 | 1.27 | 1.45 | 0.82 |
time (sec) |
N/A | 0.017 | 0.016 | 0.033 | 0.276 | 0.369 | 0.048 | 0.001 | 0.226 | 1.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 36 | 6 | 5 | 5 | 19 | 5 | 5 | 21 |
N.S. | 1 | 1.00 | 7.20 | 1.20 | 1.00 | 1.00 | 3.80 | 1.00 | 1.00 | 4.20 |
time (sec) |
N/A | 0.008 | 0.007 | 0.036 | 0.266 | 0.324 | 0.136 | 0.001 | 0.166 | 2.033 |
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 | 0.009 | 0.024 | 0.266 | 0.338 | 0.185 | 0.002 | 0.029 | 1.805 |
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 | 6 | 6 | 6 | 9 | 6 | 6 | 7 | 5 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.00 | 1.00 | 1.17 | 0.83 | 1.00 | 1.00 |
time (sec) |
N/A | 0.003 | 0.002 | 0.006 | 0.341 | 0.345 | 0.030 | 0.001 | 0.026 | 1.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 18 | 15 | 12 | 12 | 19 | 12 | 12 | 12 |
N.S. | 1 | 1.00 | 1.29 | 1.07 | 0.86 | 0.86 | 1.36 | 0.86 | 0.86 | 0.86 |
time (sec) |
N/A | 0.005 | 0.003 | 0.001 | 0.350 | 0.326 | 0.033 | 0.001 | 0.025 | 1.802 |
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 | 11 | 11 | 17 | 13 | 9 | 16 | 19 | 15 | 17 | 13 |
N.S. | 1 | 1.00 | 1.55 | 1.18 | 0.82 | 1.45 | 1.73 | 1.36 | 1.55 | 1.18 |
time (sec) |
N/A | 0.005 | 0.002 | 0.061 | 0.264 | 0.332 | 0.030 | 0.001 | 0.029 | 1.828 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 27 | 19 | 15 | 22 | 31 | 23 | 27 | 22 |
N.S. | 1 | 1.00 | 1.42 | 1.00 | 0.79 | 1.16 | 1.63 | 1.21 | 1.42 | 1.16 |
time (sec) |
N/A | 0.006 | 0.003 | 0.066 | 0.277 | 0.323 | 0.030 | 0.001 | 0.038 | 2.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 11 | 6 | 20 | 29 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 1.38 | 0.75 | 2.50 | 3.62 | 0.88 | 0.75 | 0.75 |
time (sec) |
N/A | 0.012 | 0.001 | 0.029 | 0.277 | 0.335 | 0.032 | 0.001 | 0.029 | 1.817 |
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 | 17 | 17 | 27 | 22 | 13 | 20 | 29 | 15 | 13 | 17 |
N.S. | 1 | 1.00 | 1.59 | 1.29 | 0.76 | 1.18 | 1.71 | 0.88 | 0.76 | 1.00 |
time (sec) |
N/A | 0.014 | 0.014 | 0.029 | 0.259 | 0.355 | 0.033 | 0.001 | 0.172 | 1.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.007 | 0.004 | 0.030 | 0.260 | 0.329 | 0.031 | 0.001 | 0.290 | 1.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 42 | 14 | 14 | 14 | 17 | 13 | 14 |
N.S. | 1 | 1.00 | 1.00 | 2.47 | 0.82 | 0.82 | 0.82 | 1.00 | 0.76 | 0.82 |
time (sec) |
N/A | 0.014 | 0.017 | 0.035 | 0.267 | 0.352 | 0.049 | 0.001 | 0.379 | 1.756 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 20 | 23 | 34 | 24 | 20 | 26 | 18 | 18 |
N.S. | 1 | 1.00 | 0.91 | 1.05 | 1.55 | 1.09 | 0.91 | 1.18 | 0.82 | 0.82 |
time (sec) |
N/A | 0.007 | 0.003 | 0.019 | 0.265 | 0.332 | 0.054 | 0.001 | 0.033 | 1.876 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 30 | 21 | 18 | 18 | 31 | 20 | 18 | 18 |
N.S. | 1 | 1.00 | 1.36 | 0.95 | 0.82 | 0.82 | 1.41 | 0.91 | 0.82 | 0.82 |
time (sec) |
N/A | 0.008 | 0.004 | 0.017 | 0.357 | 0.339 | 0.043 | 0.001 | 0.034 | 1.841 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 48 | 20 | 20 | 22 | 23 | 17 | 20 |
N.S. | 1 | 1.00 | 1.00 | 2.53 | 1.05 | 1.05 | 1.16 | 1.21 | 0.89 | 1.05 |
time (sec) |
N/A | 0.010 | 0.009 | 0.040 | 0.275 | 0.329 | 0.055 | 0.001 | 0.269 | 2.034 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 58 | 20 | 20 | 22 | 23 | 19 | 20 |
N.S. | 1 | 1.00 | 1.00 | 2.32 | 0.80 | 0.80 | 0.88 | 0.92 | 0.76 | 0.80 |
time (sec) |
N/A | 0.016 | 0.009 | 0.036 | 0.267 | 0.345 | 0.060 | 0.001 | 0.529 | 1.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 10 | 6 | 7 | 8 | 18 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 1.25 | 0.75 | 0.88 | 1.00 | 2.25 | 0.75 |
time (sec) |
N/A | 0.008 | 0.004 | 0.025 | 0.271 | 0.344 | 0.033 | 0.000 | 0.173 | 1.625 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 32 | 36 | 14 | 14 | 17 | 20 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.88 | 2.12 | 0.82 | 0.82 | 1.00 | 1.18 | 0.82 |
time (sec) |
N/A | 0.015 | 0.009 | 0.036 | 0.285 | 0.334 | 0.056 | 0.001 | 0.167 | 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 | 8 | 8 | 8 | 7 | 10 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 1.25 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.008 | 0.004 | 0.026 | 0.272 | 0.349 | 0.034 | 0.001 | 0.032 | 1.686 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 24 | 27 | 34 | 27 | 34 | 30 | 23 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.69 | 2.12 | 1.69 | 2.12 | 1.88 | 1.44 |
time (sec) |
N/A | 0.009 | 0.005 | 0.029 | 0.261 | 0.381 | 0.059 | 0.003 | 0.258 | 2.027 |
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 | 8 | 8 | 8 | 14 | 10 | 20 | 8 | 25 | 8 | 10 |
N.S. | 1 | 1.00 | 1.00 | 1.75 | 1.25 | 2.50 | 1.00 | 3.12 | 1.00 | 1.25 |
time (sec) |
N/A | 0.004 | 0.002 | 0.005 | 0.349 | 0.341 | 0.030 | 0.002 | 0.018 | 1.787 |
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 | 14 | 14 | 14 | 17 | 14 | 28 | 14 | 23 | 18 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.21 | 1.00 | 2.00 | 1.00 | 1.64 | 1.29 | 0.86 |
time (sec) |
N/A | 0.005 | 0.003 | 0.017 | 0.263 | 0.351 | 0.045 | 0.001 | 0.026 | 1.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 37 | 22 | 14 | 39 | 41 | 18 | 14 | 17 |
N.S. | 1 | 1.00 | 2.18 | 1.29 | 0.82 | 2.29 | 2.41 | 1.06 | 0.82 | 1.00 |
time (sec) |
N/A | 0.016 | 0.019 | 0.035 | 0.287 | 0.338 | 0.034 | 0.006 | 0.185 | 2.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 22 | 14 | 30 | 15 | 16 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.29 | 0.82 | 1.76 | 0.88 | 0.94 | 0.82 | 0.82 |
time (sec) |
N/A | 0.017 | 0.006 | 0.033 | 0.262 | 0.336 | 0.052 | 0.001 | 0.180 | 1.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 17 | 9 | 8 | 19 | 15 | 11 | 5 | 15 |
N.S. | 1 | 1.00 | 3.40 | 1.80 | 1.60 | 3.80 | 3.00 | 2.20 | 1.00 | 3.00 |
time (sec) |
N/A | 0.002 | 0.003 | 0.013 | 0.279 | 0.344 | 0.050 | 0.001 | 0.043 | 1.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 47 | 18 | 27 | 44 | 27 | 61 | 16 | 23 |
N.S. | 1 | 1.00 | 2.94 | 1.12 | 1.69 | 2.75 | 1.69 | 3.81 | 1.00 | 1.44 |
time (sec) |
N/A | 0.005 | 0.005 | 0.063 | 0.296 | 0.354 | 0.062 | 0.002 | 0.155 | 2.073 |
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 | 8 | 8 | 19 | 12 | 17 | 21 | 19 | 21 | 8 | 17 |
N.S. | 1 | 1.00 | 2.38 | 1.50 | 2.12 | 2.62 | 2.38 | 2.62 | 1.00 | 2.12 |
time (sec) |
N/A | 0.007 | 0.004 | 0.030 | 0.264 | 0.347 | 0.051 | 0.001 | 0.148 | 1.837 |
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 | 13 | 13 | 17 | 12 | 14 | 25 | 20 | 18 | 17 | 15 |
N.S. | 1 | 1.00 | 1.31 | 0.92 | 1.08 | 1.92 | 1.54 | 1.38 | 1.31 | 1.15 |
time (sec) |
N/A | 0.004 | 0.003 | 0.053 | 0.266 | 0.333 | 0.029 | 0.002 | 0.028 | 1.965 |
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 | 17 | 17 | 17 | 14 | 13 | 24 | 26 | 16 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.41 | 1.53 | 0.94 | 0.76 | 0.76 |
time (sec) |
N/A | 0.005 | 0.008 | 0.074 | 0.261 | 0.362 | 0.143 | 0.002 | 0.062 | 1.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 13 | 13 | 13 | 22 | 17 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.76 | 0.76 | 1.29 | 1.00 | 0.76 | 0.76 |
time (sec) |
N/A | 0.005 | 0.006 | 0.060 | 0.289 | 0.341 | 0.144 | 0.001 | 0.026 | 1.925 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 11 | 24 | 26 | 13 | 11 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.73 | 1.60 | 1.73 | 0.87 | 0.73 | 1.40 |
time (sec) |
N/A | 0.005 | 0.007 | 0.067 | 0.269 | 0.329 | 0.142 | 0.001 | 0.174 | 2.023 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 9 | 13 | 14 | 24 | 12 | 13 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.53 | 0.76 | 0.82 | 1.41 | 0.71 | 0.76 | 0.47 |
time (sec) |
N/A | 0.005 | 0.008 | 0.032 | 0.264 | 0.335 | 0.143 | 0.000 | 0.058 | 1.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 10 | 19 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.25 | 2.38 | 0.75 |
time (sec) |
N/A | 0.008 | 0.001 | 0.029 | 0.265 | 0.334 | 0.028 | 0.000 | 0.031 | 1.670 |
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 | 0.020 | 0.011 | 0.041 | 0.264 | 0.396 | 1.246 | 0.001 | 0.293 | 3.581 |
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 | 5 | 5 | 8 | 6 | 11 | 5 | 7 | 7 | 6 | 6 |
N.S. | 1 | 1.00 | 1.60 | 1.20 | 2.20 | 1.00 | 1.40 | 1.40 | 1.20 | 1.20 |
time (sec) |
N/A | 0.013 | 0.003 | 0.036 | 0.264 | 0.345 | 0.184 | 0.002 | 0.170 | 3.582 |
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 | 15 | 15 | 61 | 20 | 69 | 35 | 32 | 38 | 24 | 29 |
N.S. | 1 | 1.00 | 4.07 | 1.33 | 4.60 | 2.33 | 2.13 | 2.53 | 1.60 | 1.93 |
time (sec) |
N/A | 0.031 | 0.008 | 0.089 | 0.355 | 0.352 | 0.738 | 0.003 | 0.396 | 2.695 |
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 | 14 | 14 | 14 | 13 | 16 | 14 | 10 | 21 | 16 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 1.14 | 1.00 | 0.71 | 1.50 | 1.14 | 0.86 |
time (sec) |
N/A | 0.009 | 0.005 | 0.028 | 0.262 | 0.370 | 0.039 | 0.001 | 0.141 | 1.730 |
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 | 22 | 22 | 20 | 29 | 20 | 37 | 20 | 28 | 32 | 18 |
N.S. | 1 | 1.00 | 0.91 | 1.32 | 0.91 | 1.68 | 0.91 | 1.27 | 1.45 | 0.82 |
time (sec) |
N/A | 0.019 | 0.007 | 0.033 | 0.258 | 0.356 | 0.051 | 0.001 | 0.149 | 1.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.007 | 0.003 | 0.022 | 0.282 | 0.329 | 0.033 | 0.000 | 0.002 | 1.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 42 | 14 | 14 | 14 | 17 | 13 | 14 |
N.S. | 1 | 1.00 | 1.00 | 2.47 | 0.82 | 0.82 | 0.82 | 1.00 | 0.76 | 0.82 |
time (sec) |
N/A | 0.015 | 0.009 | 0.020 | 0.271 | 0.344 | 0.050 | 0.001 | 0.002 | 1.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 37 | 34 | 21 | 35 | 15 | 46 | 21 | 21 |
N.S. | 1 | 1.00 | 1.48 | 1.36 | 0.84 | 1.40 | 0.60 | 1.84 | 0.84 | 0.84 |
time (sec) |
N/A | 0.003 | 0.034 | 0.087 | 0.353 | 0.332 | 0.103 | 0.004 | 0.039 | 2.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 12 | 19 | 12 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.88 | 0.75 | 1.19 | 0.75 | 0.69 |
time (sec) |
N/A | 0.002 | 0.019 | 0.033 | 0.353 | 0.366 | 0.413 | 0.002 | 0.028 | 2.080 |
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 | 8 | 7 | 7 | 7 | 9 | 7 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.78 | 0.78 | 0.78 | 1.00 | 0.78 | 0.89 |
time (sec) |
N/A | 0.001 | 0.001 | 0.040 | 0.261 | 0.331 | 0.065 | 0.000 | 0.028 | 1.655 |
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 | 16 | 16 | 46 | 15 | 18 | 18 | 19 | 18 | 14 | 27 |
N.S. | 1 | 1.00 | 2.88 | 0.94 | 1.12 | 1.12 | 1.19 | 1.12 | 0.88 | 1.69 |
time (sec) |
N/A | 0.002 | 0.003 | 0.036 | 0.268 | 0.337 | 0.474 | 0.001 | 0.080 | 2.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 22 | 27 | 26 | 18 | 27 | 34 | 24 | 18 |
N.S. | 1 | 1.00 | 0.71 | 0.87 | 0.84 | 0.58 | 0.87 | 1.10 | 0.77 | 0.58 |
time (sec) |
N/A | 0.009 | 0.014 | 0.042 | 0.349 | 0.333 | 0.215 | 0.001 | 0.047 | 1.957 |
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 | 27 | 27 | 40 | 24 | 21 | 42 | 0 | 24 | 38 | 0 |
N.S. |
1 | 1.00 | 1.48 | 0.89 | 0.78 | 1.56 | 0.00 | 0.89 | 1.41 | 0.00 |
time (sec) |
N/A | 0.007 | 0.055 | 0.103 | 0.377 | 0.343 | 0.000 | 0.003 | 0.221 | 0.000 |
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 | 16 | 16 | 16 | 15 | 14 | 14 | 27 | 40 | 14 | 35 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 1.69 | 2.50 | 0.88 | 2.19 |
time (sec) |
N/A | 0.002 | 0.022 | 0.043 | 0.347 | 0.332 | 0.384 | 0.002 | 0.230 | 2.127 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 27 | 27 | 26 | 23 | 39 | 43 | 23 | 23 |
N.S. | 1 | 1.00 | 0.87 | 0.87 | 0.84 | 0.74 | 1.26 | 1.39 | 0.74 | 0.74 |
time (sec) |
N/A | 0.009 | 0.012 | 0.045 | 0.344 | 0.342 | 0.164 | 0.000 | 0.036 | 2.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 11 | 8 | 11 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.62 | 0.85 | 0.85 | 0.85 |
time (sec) |
N/A | 0.002 | 0.000 | 0.042 | 0.263 | 0.366 | 0.063 | 0.001 | 0.032 | 1.735 |
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 | 16 | 24 | 20 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.73 | 1.07 | 1.60 | 1.33 | 0.73 | 0.73 |
time (sec) |
N/A | 0.001 | 0.001 | 0.044 | 0.262 | 0.341 | 0.082 | 0.000 | 0.026 | 1.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 41 | 20 | 19 | 32 | 19 | 25 | 18 | 19 |
N.S. | 1 | 1.00 | 1.64 | 0.80 | 0.76 | 1.28 | 0.76 | 1.00 | 0.72 | 0.76 |
time (sec) |
N/A | 0.002 | 0.037 | 0.087 | 0.343 | 0.342 | 0.085 | 0.002 | 0.033 | 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 | 25 | 25 | 18 | 23 | 22 | 14 | 24 | 30 | 14 | 14 |
N.S. | 1 | 1.00 | 0.72 | 0.92 | 0.88 | 0.56 | 0.96 | 1.20 | 0.56 | 0.56 |
time (sec) |
N/A | 0.006 | 0.010 | 0.039 | 0.367 | 0.327 | 0.118 | 0.000 | 0.023 | 1.894 |
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 | 0.343 | 0.334 | 0.066 | 0.001 | 0.030 | 1.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 28 | 16 | 15 | 25 | 15 | 32 | 15 | 15 |
N.S. | 1 | 1.00 | 1.33 | 0.76 | 0.71 | 1.19 | 0.71 | 1.52 | 0.71 | 0.71 |
time (sec) |
N/A | 0.001 | 0.018 | 0.044 | 0.343 | 0.319 | 0.078 | 0.001 | 0.029 | 1.835 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 35 | 26 | 22 | 33 | 66 | 33 | 25 | 57 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.63 | 0.94 | 1.89 | 0.94 | 0.71 | 1.63 |
time (sec) |
N/A | 0.008 | 0.022 | 0.106 | 0.347 | 0.334 | 1.077 | 0.001 | 0.346 | 3.166 |
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 | 23 | 23 | 23 | 20 | 19 | 23 | 76 | 51 | 19 | 80 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.83 | 1.00 | 3.30 | 2.22 | 0.83 | 3.48 |
time (sec) |
N/A | 0.002 | 0.030 | 0.038 | 0.351 | 0.320 | 0.366 | 0.004 | 0.341 | 2.464 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 19 | 28 | 92 | 30 | 24 | 68 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.63 | 0.93 | 3.07 | 1.00 | 0.80 | 2.27 |
time (sec) |
N/A | 0.010 | 0.015 | 0.098 | 0.351 | 0.342 | 0.666 | 0.001 | 0.310 | 2.783 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 18 | 37 | 23 | 14 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.00 | 2.06 | 1.28 | 0.78 | 1.83 |
time (sec) |
N/A | 0.002 | 0.019 | 0.053 | 0.351 | 0.320 | 0.399 | 0.002 | 0.254 | 2.183 |
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 | 34 | 34 | 34 | 31 | 22 | 58 | 49 | 36 | 34 | 65 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.65 | 1.71 | 1.44 | 1.06 | 1.00 | 1.91 |
time (sec) |
N/A | 0.004 | 0.050 | 0.044 | 0.362 | 0.335 | 0.758 | 0.004 | 0.222 | 2.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 35 | 23 | 22 | 29 | 24 | 30 | 22 | 22 |
N.S. | 1 | 1.00 | 1.21 | 0.79 | 0.76 | 1.00 | 0.83 | 1.03 | 0.76 | 0.76 |
time (sec) |
N/A | 0.004 | 0.026 | 0.094 | 0.359 | 0.339 | 0.092 | 0.002 | 0.036 | 1.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 14 | 24 | 15 | 51 | 18 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.61 | 1.04 | 0.65 | 2.22 | 0.78 | 0.57 |
time (sec) |
N/A | 0.007 | 0.027 | 0.076 | 0.350 | 0.330 | 0.454 | 0.001 | 0.056 | 2.172 |
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 | 13 | 13 | 13 | 10 | 9 | 21 | 26 | 20 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.69 | 1.62 | 2.00 | 1.54 | 0.69 | 0.69 |
time (sec) |
N/A | 0.001 | 0.001 | 0.040 | 0.265 | 0.335 | 0.486 | 0.001 | 0.161 | 2.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 22 | 27 | 26 | 23 | 44 | 54 | 23 | 23 |
N.S. | 1 | 1.00 | 0.71 | 0.87 | 0.84 | 0.74 | 1.42 | 1.74 | 0.74 | 0.74 |
time (sec) |
N/A | 0.009 | 0.014 | 0.044 | 0.346 | 0.335 | 0.171 | 0.001 | 0.167 | 2.058 |
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 | 45 | 45 | 46 | 32 | 31 | 39 | 110 | 33 | 27 | 92 |
N.S. | 1 | 1.00 | 1.02 | 0.71 | 0.69 | 0.87 | 2.44 | 0.73 | 0.60 | 2.04 |
time (sec) |
N/A | 0.006 | 0.064 | 0.108 | 0.363 | 0.313 | 1.678 | 0.004 | 0.036 | 3.698 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 10 | 9 | 9 | 26 | 18 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.69 | 0.69 | 2.00 | 1.38 | 0.69 | 0.69 |
time (sec) |
N/A | 0.002 | 0.001 | 0.043 | 0.293 | 0.324 | 0.078 | 0.001 | 0.029 | 1.830 |
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 | 16 | 16 | 16 | 13 | 12 | 30 | 34 | 25 | 12 | 33 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.75 | 1.88 | 2.12 | 1.56 | 0.75 | 2.06 |
time (sec) |
N/A | 0.001 | 0.022 | 0.055 | 0.268 | 0.346 | 0.384 | 0.003 | 0.251 | 2.091 |
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 | 33 | 33 | 43 | 26 | 36 | 35 | 0 | 30 | 24 | 0 |
N.S. |
1 | 1.00 | 1.30 | 0.79 | 1.09 | 1.06 | 0.00 | 0.91 | 0.73 | 0.00 |
time (sec) |
N/A | 0.005 | 0.052 | 0.065 | 0.437 | 0.325 | 0.000 | 0.001 | 0.165 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 20 | 7 | 6 | 18 | 0 | 18 | 14 | 0 |
N.S. |
1 | 1.00 | 2.50 | 0.88 | 0.75 | 2.25 | 0.00 | 2.25 | 1.75 | 0.00 |
time (sec) |
N/A | 0.004 | 0.043 | 0.087 | 0.351 | 0.322 | 0.000 | 0.001 | 0.201 | 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 | 25 | 25 | 24 | 30 | 22 | 20 | 0 | 26 | 20 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.20 | 0.88 | 0.80 | 0.00 | 1.04 | 0.80 | 0.00 |
time (sec) |
N/A | 0.004 | 0.044 | 0.079 | 0.348 | 0.336 | 0.000 | 0.002 | 0.260 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | F | F(-2) |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 51 | 37 | 36 | 35 | 0 | 34 | -1 | 0 |
N.S. |
1 | 1.00 | 1.16 | 0.84 | 0.82 | 0.80 | 0.00 | 0.77 | -0.02 | 0.00 |
time (sec) |
N/A | 0.011 | 0.048 | 0.086 | 0.345 | 0.326 | 0.000 | 0.003 | 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 | 26 | 26 | 23 | 25 | 22 | 28 | 19 | 23 | 23 | 28 |
N.S. | 1 | 1.00 | 0.88 | 0.96 | 0.85 | 1.08 | 0.73 | 0.88 | 0.88 | 1.08 |
time (sec) |
N/A | 0.004 | 0.006 | 0.071 | 0.345 | 0.371 | 0.059 | 0.000 | 0.189 | 1.904 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 40 | 59 | 49 | 0 | 51 | 29 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.37 | 1.14 | 0.00 | 1.19 | 0.67 | 0.00 |
time (sec) |
N/A | 0.004 | 0.136 | 0.068 | 0.265 | 0.376 | 0.000 | 0.004 | 0.050 | 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 | 33 | 33 | 45 | 23 | 22 | 35 | 32 | 27 | 22 | 37 |
N.S. | 1 | 1.00 | 1.36 | 0.70 | 0.67 | 1.06 | 0.97 | 0.82 | 0.67 | 1.12 |
time (sec) |
N/A | 0.015 | 0.053 | 0.023 | 0.350 | 0.351 | 0.656 | 0.002 | 0.210 | 2.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 23 | 22 | 22 | 26 | 28 | 34 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.87 | 0.93 | 1.13 | 1.07 |
time (sec) |
N/A | 0.010 | 0.019 | 0.033 | 0.344 | 0.334 | 0.623 | 0.001 | 0.227 | 2.507 |
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 | 14 | 14 | 42 | 13 | 6 | 16 | 3 | 16 | 12 | 6 |
N.S. | 1 | 1.00 | 3.00 | 0.93 | 0.43 | 1.14 | 0.21 | 1.14 | 0.86 | 0.43 |
time (sec) |
N/A | 0.001 | 0.002 | 0.042 | 0.261 | 0.328 | 0.430 | 0.001 | 0.188 | 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 | 15 | 15 | 15 | 14 | 13 | 13 | 10 | 14 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.67 | 0.93 | 0.87 | 0.87 |
time (sec) |
N/A | 0.002 | 0.003 | 0.063 | 0.266 | 0.324 | 0.049 | 0.000 | 0.177 | 1.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 25 | 21 | 20 | 20 | 19 | 25 | 20 | 20 |
N.S. | 1 | 1.00 | 0.96 | 0.81 | 0.77 | 0.77 | 0.73 | 0.96 | 0.77 | 0.77 |
time (sec) |
N/A | 0.010 | 0.003 | 0.047 | 0.257 | 0.358 | 0.035 | 0.000 | 0.033 | 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 | 25 | 25 | 25 | 20 | 19 | 19 | 19 | 26 | 19 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.76 | 0.76 | 1.04 | 0.76 | 0.68 |
time (sec) |
N/A | 0.028 | 0.004 | 0.015 | 0.260 | 0.333 | 0.071 | 0.001 | 0.185 | 1.899 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 29 | 25 | 24 | 36 | 20 | 27 | 22 | 32 |
N.S. | 1 | 1.00 | 0.97 | 0.83 | 0.80 | 1.20 | 0.67 | 0.90 | 0.73 | 1.07 |
time (sec) |
N/A | 0.020 | 0.011 | 0.016 | 0.272 | 0.337 | 0.049 | 0.001 | 0.050 | 1.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 18 | 17 | 17 | 17 | 22 | 21 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.74 | 0.74 | 0.74 | 0.96 | 0.91 | 0.74 |
time (sec) |
N/A | 0.024 | 0.004 | 0.049 | 0.422 | 0.342 | 0.071 | 0.001 | 0.052 | 1.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 32 | 31 | 31 | 34 | 44 | 30 | 29 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.82 | 0.82 | 0.89 | 1.16 | 0.79 | 0.76 |
time (sec) |
N/A | 0.021 | 0.007 | 0.112 | 0.346 | 0.328 | 0.062 | 0.001 | 0.167 | 1.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 93 | 73 | 77 | 136 | 88 | 89 | 96 | 88 |
N.S. | 1 | 1.00 | 0.90 | 0.71 | 0.75 | 1.32 | 0.85 | 0.86 | 0.93 | 0.85 |
time (sec) |
N/A | 0.305 | 0.032 | 0.129 | 0.346 | 0.326 | 0.300 | 0.002 | 0.262 | 2.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 28 | 29 | 44 | 27 | 35 | 33 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.88 | 1.33 | 0.82 | 1.06 | 1.00 | 1.12 |
time (sec) |
N/A | 0.025 | 0.014 | 0.052 | 0.349 | 0.364 | 0.076 | 0.001 | 0.161 | 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 | 19 | 19 | 16 | 16 | 15 | 19 | 12 | 16 | 16 | 19 |
N.S. | 1 | 1.00 | 0.84 | 0.84 | 0.79 | 1.00 | 0.63 | 0.84 | 0.84 | 1.00 |
time (sec) |
N/A | 0.002 | 0.004 | 0.041 | 0.344 | 0.331 | 0.050 | 0.001 | 0.024 | 1.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 13 | 13 | 12 | 18 | 12 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.68 | 0.68 | 0.63 | 0.95 | 0.63 | 0.68 |
time (sec) |
N/A | 0.002 | 0.002 | 0.049 | 0.268 | 0.324 | 0.047 | 0.000 | 0.098 | 1.752 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 16 | 15 | 15 | 17 | 22 | 8 | 13 |
N.S. | 1 | 1.00 | 1.11 | 0.84 | 0.79 | 0.79 | 0.89 | 1.16 | 0.42 | 0.68 |
time (sec) |
N/A | 0.004 | 0.002 | 0.064 | 0.276 | 0.319 | 0.050 | 0.000 | 0.122 | 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 | 32 | 32 | 32 | 27 | 26 | 37 | 26 | 34 | 22 | 30 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.81 | 1.16 | 0.81 | 1.06 | 0.69 | 0.94 |
time (sec) |
N/A | 0.016 | 0.011 | 0.086 | 0.257 | 0.332 | 0.090 | 0.001 | 0.100 | 1.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 33 | 34 | 34 | 53 | 32 | 41 | 29 | 43 |
N.S. | 1 | 1.00 | 0.77 | 0.79 | 0.79 | 1.23 | 0.74 | 0.95 | 0.67 | 1.00 |
time (sec) |
N/A | 0.024 | 0.016 | 0.058 | 0.264 | 0.320 | 0.079 | 0.001 | 0.230 | 1.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 19 | 26 | 17 | 23 | 16 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.90 | 1.24 | 0.81 | 1.10 | 0.76 | 0.81 |
time (sec) |
N/A | 0.007 | 0.002 | 0.055 | 0.259 | 0.329 | 0.053 | 0.000 | 0.040 | 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 | 25 | 25 | 25 | 24 | 23 | 19 | 17 | 29 | 19 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 0.92 | 0.76 | 0.68 | 1.16 | 0.76 | 0.76 |
time (sec) |
N/A | 0.026 | 0.004 | 0.061 | 0.264 | 0.323 | 0.048 | 0.001 | 0.168 | 1.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 13 | 11 | 8 | 15 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.18 | 1.00 | 0.73 | 1.36 | 1.00 | 1.00 |
time (sec) |
N/A | 0.008 | 0.003 | 0.047 | 0.288 | 0.332 | 0.050 | 0.001 | 0.175 | 1.702 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 36 | 32 | 31 | 31 | 36 | 41 | 56 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.86 | 0.86 | 1.00 | 1.14 | 1.56 | 0.86 |
time (sec) |
N/A | 0.073 | 0.011 | 0.058 | 0.350 | 0.334 | 0.107 | 0.001 | 0.108 | 1.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 22 | 21 | 33 | 22 | 27 | 23 | 30 |
N.S. | 1 | 1.00 | 1.00 | 0.76 | 0.72 | 1.14 | 0.76 | 0.93 | 0.79 | 1.03 |
time (sec) |
N/A | 0.068 | 0.011 | 0.047 | 0.409 | 0.329 | 0.086 | 0.001 | 0.168 | 1.822 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 48 | 47 | 60 | 63 | 65 | 61 | 51 |
N.S. | 1 | 1.00 | 0.90 | 0.80 | 0.78 | 1.00 | 1.05 | 1.08 | 1.02 | 0.85 |
time (sec) |
N/A | 0.153 | 0.035 | 0.102 | 0.348 | 0.365 | 0.135 | 0.001 | 0.124 | 2.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 28 | 25 | 30 | 39 | 27 | 31 | 30 | 40 |
N.S. | 1 | 1.00 | 0.76 | 0.68 | 0.81 | 1.05 | 0.73 | 0.84 | 0.81 | 1.08 |
time (sec) |
N/A | 0.005 | 0.010 | 0.048 | 0.339 | 0.324 | 0.064 | 0.001 | 0.156 | 1.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 78 | 68 | 75 | 134 | 88 | 88 | 84 | 90 |
N.S. | 1 | 1.00 | 0.80 | 0.70 | 0.77 | 1.38 | 0.91 | 0.91 | 0.87 | 0.93 |
time (sec) |
N/A | 0.048 | 0.030 | 0.191 | 0.341 | 0.325 | 0.117 | 0.001 | 0.241 | 2.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 36 | 35 | 39 | 46 | 49 | 49 | 39 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.76 | 0.85 | 1.00 | 1.07 | 1.07 | 0.85 |
time (sec) |
N/A | 0.039 | 0.018 | 0.020 | 0.369 | 0.324 | 0.084 | 0.001 | 0.237 | 2.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 48 | 38 | 37 | 46 | 48 | 47 | 51 | 43 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.77 | 0.96 | 1.00 | 0.98 | 1.06 | 0.90 |
time (sec) |
N/A | 0.016 | 0.009 | 0.055 | 0.352 | 0.341 | 0.074 | 0.000 | 0.109 | 1.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 19 | 14 | 13 | 13 | 10 | 15 | 13 | 13 |
N.S. | 1 | 1.00 | 1.27 | 0.93 | 0.87 | 0.87 | 0.67 | 1.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.004 | 0.002 | 0.041 | 0.275 | 0.319 | 0.035 | 0.000 | 0.025 | 1.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 8 | 9 | 8 | 8 | 7 | 9 | 8 | 8 |
N.S. | 1 | 1.00 | 0.80 | 0.90 | 0.80 | 0.80 | 0.70 | 0.90 | 0.80 | 0.80 |
time (sec) |
N/A | 0.003 | 0.001 | 0.047 | 0.275 | 0.342 | 0.034 | 0.000 | 0.028 | 1.642 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 11 | 10 | 13 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 1.00 | 0.85 | 0.85 |
time (sec) |
N/A | 0.004 | 0.003 | 0.051 | 0.265 | 0.315 | 0.051 | 0.000 | 0.168 | 1.790 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 11 | 8 | 12 | 10 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.00 | 0.73 | 1.09 | 0.91 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.042 | 0.332 | 0.336 | 0.047 | 0.001 | 0.068 | 1.665 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 15 | 13 | 12 | 12 | 10 | 16 | 10 | 12 |
N.S. | 1 | 1.00 | 1.25 | 1.08 | 1.00 | 1.00 | 0.83 | 1.33 | 0.83 | 1.00 |
time (sec) |
N/A | 0.004 | 0.002 | 0.047 | 0.273 | 0.321 | 0.036 | 0.000 | 0.158 | 1.685 |
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 | 26 | 26 | 19 | 27 | 26 | 20 | 80 | 23 | 18 | 19 |
N.S. | 1 | 1.00 | 0.73 | 1.04 | 1.00 | 0.77 | 3.08 | 0.88 | 0.69 | 0.73 |
time (sec) |
N/A | 0.004 | 0.005 | 0.062 | 0.252 | 0.342 | 0.115 | 0.001 | 0.219 | 2.608 |
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 | 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 | 0.011 | 0.002 | 0.066 | 0.270 | 0.328 | 0.050 | 0.001 | 0.044 | 1.663 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 19 | 18 | 18 | 17 | 25 | 14 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.73 | 0.69 | 0.69 | 0.65 | 0.96 | 0.54 | 0.69 |
time (sec) |
N/A | 0.010 | 0.004 | 0.062 | 0.271 | 0.343 | 0.048 | 0.001 | 0.041 | 1.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 15 | 14 | 17 | 10 | 13 | 14 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.21 | 0.71 | 0.93 | 1.00 | 1.21 |
time (sec) |
N/A | 0.004 | 0.003 | 0.043 | 0.259 | 0.336 | 0.039 | 0.000 | 0.030 | 1.690 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 20 | 19 | 19 | 19 | 24 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.83 | 0.83 | 0.83 | 1.04 | 0.74 | 0.74 |
time (sec) |
N/A | 0.006 | 0.003 | 0.051 | 0.270 | 0.335 | 0.069 | 0.001 | 0.083 | 1.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 15 | 15 | 15 | 18 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.88 | 1.06 | 0.88 | 0.88 |
time (sec) |
N/A | 0.025 | 0.004 | 0.015 | 0.273 | 0.332 | 0.067 | 0.001 | 0.066 | 1.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 8 | 12 | 12 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.33 | 0.67 | 1.00 | 1.00 | 1.33 |
time (sec) |
N/A | 0.004 | 0.003 | 0.052 | 0.255 | 0.327 | 0.037 | 0.000 | 0.034 | 1.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 22 | 21 | 20 | 26 | 19 | 28 | 22 | 24 |
N.S. | 1 | 1.00 | 0.73 | 0.70 | 0.67 | 0.87 | 0.63 | 0.93 | 0.73 | 0.80 |
time (sec) |
N/A | 0.007 | 0.007 | 0.052 | 0.254 | 0.325 | 0.056 | 0.000 | 0.061 | 1.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 26 | 21 | 20 | 27 | 22 | 28 | 22 | 26 |
N.S. | 1 | 1.00 | 0.93 | 0.75 | 0.71 | 0.96 | 0.79 | 1.00 | 0.79 | 0.93 |
time (sec) |
N/A | 0.007 | 0.013 | 0.054 | 0.258 | 0.330 | 0.061 | 0.001 | 0.212 | 1.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 15 | 14 | 18 | 14 | 15 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.07 | 1.00 | 1.29 | 1.00 | 1.07 | 1.00 | 1.00 |
time (sec) |
N/A | 0.015 | 0.003 | 0.052 | 0.273 | 0.347 | 0.058 | 0.001 | 0.042 | 1.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 25 | 18 | 17 | 17 | 17 | 22 | 17 | 17 |
N.S. | 1 | 1.00 | 1.32 | 0.95 | 0.89 | 0.89 | 0.89 | 1.16 | 0.89 | 0.89 |
time (sec) |
N/A | 0.018 | 0.005 | 0.016 | 0.263 | 0.340 | 0.065 | 0.001 | 0.181 | 1.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 13 | 13 | 12 | 15 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 1.00 | 0.87 | 0.87 |
time (sec) |
N/A | 0.006 | 0.003 | 0.010 | 0.270 | 0.314 | 0.044 | 0.001 | 0.051 | 1.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 24 | 27 | 40 | 20 | 27 | 27 | 29 |
N.S. | 1 | 1.00 | 1.00 | 0.96 | 1.08 | 1.60 | 0.80 | 1.08 | 1.08 | 1.16 |
time (sec) |
N/A | 0.006 | 0.008 | 0.075 | 0.319 | 0.324 | 0.053 | 0.000 | 0.050 | 2.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 20 | 22 | 31 | 19 | 21 | 21 | 29 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 1.05 | 1.48 | 0.90 | 1.00 | 1.00 | 1.38 |
time (sec) |
N/A | 0.005 | 0.006 | 0.038 | 0.262 | 0.343 | 0.044 | 0.000 | 0.026 | 1.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 22 | 17 | 16 | 20 | 15 | 20 | 8 | 20 |
N.S. | 1 | 1.00 | 2.75 | 2.12 | 2.00 | 2.50 | 1.88 | 2.50 | 1.00 | 2.50 |
time (sec) |
N/A | 0.004 | 0.002 | 0.041 | 0.254 | 0.324 | 0.049 | 0.000 | 0.167 | 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 | 15 | 15 | 15 | 14 | 13 | 13 | 10 | 13 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.67 | 0.87 | 0.87 | 0.87 |
time (sec) |
N/A | 0.006 | 0.003 | 0.013 | 0.265 | 0.328 | 0.046 | 0.001 | 0.040 | 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 | 18 | 18 | 18 | 15 | 14 | 14 | 12 | 14 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 0.67 | 0.78 | 0.78 | 0.78 |
time (sec) |
N/A | 0.005 | 0.002 | 0.046 | 0.269 | 0.365 | 0.037 | 0.000 | 0.025 | 1.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 18 | 18 | 17 | 20 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.90 | 0.90 | 0.85 | 1.00 | 0.90 | 0.90 |
time (sec) |
N/A | 0.006 | 0.003 | 0.076 | 0.356 | 0.319 | 0.052 | 0.001 | 0.160 | 1.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 27 | 26 | 26 | 34 | 32 | 28 | 26 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.84 | 0.84 | 1.10 | 1.03 | 0.90 | 0.84 |
time (sec) |
N/A | 0.010 | 0.005 | 0.072 | 0.360 | 0.327 | 0.056 | 0.000 | 0.160 | 1.892 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 22 | 21 | 21 | 22 | 33 | 17 | 17 |
N.S. | 1 | 1.00 | 1.15 | 0.81 | 0.78 | 0.78 | 0.81 | 1.22 | 0.63 | 0.63 |
time (sec) |
N/A | 0.015 | 0.004 | 0.075 | 0.342 | 0.337 | 0.058 | 0.001 | 0.042 | 1.883 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 28 | 20 | 19 | 19 | 19 | 22 | 25 | 19 |
N.S. | 1 | 1.00 | 1.22 | 0.87 | 0.83 | 0.83 | 0.83 | 0.96 | 1.09 | 0.83 |
time (sec) |
N/A | 0.021 | 0.006 | 0.055 | 0.345 | 0.339 | 0.072 | 0.001 | 0.054 | 1.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 24 | 23 | 23 | 29 | 33 | 55 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.82 | 0.82 | 1.04 | 1.18 | 1.96 | 0.82 |
time (sec) |
N/A | 0.015 | 0.006 | 0.048 | 0.380 | 0.332 | 0.070 | 0.001 | 0.300 | 1.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 33 | 32 | 32 | 41 | 44 | 46 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.78 | 0.78 | 1.00 | 1.07 | 1.12 | 0.78 |
time (sec) |
N/A | 0.013 | 0.004 | 0.039 | 0.341 | 0.333 | 0.066 | 0.000 | 0.063 | 2.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 42 | 36 | 35 | 35 | 42 | 43 | 47 | 35 |
N.S. | 1 | 1.00 | 1.02 | 0.88 | 0.85 | 0.85 | 1.02 | 1.05 | 1.15 | 0.85 |
time (sec) |
N/A | 0.015 | 0.005 | 0.046 | 0.352 | 0.336 | 0.069 | 0.001 | 0.229 | 1.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 21 | 20 | 36 | 20 | 22 | 28 | 32 |
N.S. | 1 | 1.00 | 0.92 | 0.88 | 0.83 | 1.50 | 0.83 | 0.92 | 1.17 | 1.33 |
time (sec) |
N/A | 0.021 | 0.010 | 0.079 | 0.348 | 0.343 | 0.070 | 0.001 | 0.044 | 1.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 26 | 19 | 18 | 18 | 19 | 25 | 10 | 18 |
N.S. | 1 | 1.00 | 1.86 | 1.36 | 1.29 | 1.29 | 1.36 | 1.79 | 0.71 | 1.29 |
time (sec) |
N/A | 0.003 | 0.003 | 0.054 | 0.345 | 0.340 | 0.063 | 0.001 | 0.056 | 1.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 25 | 24 | 24 | 29 | 35 | 51 | 24 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.83 | 0.83 | 1.00 | 1.21 | 1.76 | 0.83 |
time (sec) |
N/A | 0.072 | 0.009 | 0.059 | 0.348 | 0.329 | 0.099 | 0.001 | 0.075 | 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 | 23 | 23 | 23 | 18 | 17 | 17 | 19 | 21 | 33 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.78 | 0.74 | 0.74 | 0.83 | 0.91 | 1.43 | 0.74 |
time (sec) |
N/A | 0.019 | 0.007 | 0.017 | 0.349 | 0.360 | 0.093 | 0.001 | 0.186 | 1.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 35 | 32 | 39 | 41 | 42 | 36 | 39 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.82 | 1.00 | 1.05 | 1.08 | 0.92 | 1.00 |
time (sec) |
N/A | 0.009 | 0.016 | 0.137 | 0.345 | 0.355 | 0.062 | 0.001 | 0.041 | 1.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 18 | 8 | 14 | 10 | 18 |
N.S. | 1 | 1.00 | 1.00 | 1.10 | 1.40 | 1.80 | 0.80 | 1.40 | 1.00 | 1.80 |
time (sec) |
N/A | 0.010 | 0.004 | 0.000 | 0.260 | 0.330 | 0.047 | 0.001 | 0.155 | 1.666 |
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 | 26 | 12 | 11 | 15 | 12 | 13 | 11 | 11 |
N.S. | 1 | 1.00 | 2.36 | 1.09 | 1.00 | 1.36 | 1.09 | 1.18 | 1.00 | 1.00 |
time (sec) |
N/A | 0.029 | 0.060 | 0.057 | 0.312 | 0.352 | 0.092 | 0.002 | 0.087 | 1.768 |
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 | 20 | 20 | 82 | 18 | 17 | 17 | 19 | 22 | 17 | 17 |
N.S. | 1 | 1.00 | 4.10 | 0.90 | 0.85 | 0.85 | 0.95 | 1.10 | 0.85 | 0.85 |
time (sec) |
N/A | 0.032 | 0.113 | 0.044 | 0.349 | 0.363 | 0.156 | 0.001 | 0.060 | 1.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 13 | 13 | 12 | 18 | 8 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.68 | 0.68 | 0.63 | 0.95 | 0.42 | 0.68 |
time (sec) |
N/A | 0.003 | 0.002 | 0.063 | 0.257 | 0.319 | 0.047 | 0.000 | 0.076 | 1.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 12 | 11 | 11 | 10 | 16 | 6 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.71 | 0.65 | 0.65 | 0.59 | 0.94 | 0.35 | 0.65 |
time (sec) |
N/A | 0.001 | 0.002 | 0.053 | 0.258 | 0.334 | 0.046 | 0.000 | 0.097 | 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 | 21 | 21 | 21 | 18 | 17 | 17 | 17 | 22 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.81 | 1.05 | 0.62 | 0.62 |
time (sec) |
N/A | 0.004 | 0.003 | 0.065 | 0.257 | 0.329 | 0.052 | 0.001 | 0.205 | 1.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 44 | 27 | 37 | 44 | 46 | 47 | 36 | 35 |
N.S. | 1 | 1.00 | 0.90 | 0.55 | 0.76 | 0.90 | 0.94 | 0.96 | 0.73 | 0.71 |
time (sec) |
N/A | 0.008 | 0.013 | 0.086 | 0.357 | 0.356 | 0.053 | 0.000 | 0.177 | 1.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 57 | 51 | 50 | 50 | 68 | 68 | 58 | 44 |
N.S. | 1 | 1.00 | 0.90 | 0.81 | 0.79 | 0.79 | 1.08 | 1.08 | 0.92 | 0.70 |
time (sec) |
N/A | 0.055 | 0.018 | 0.026 | 0.344 | 0.355 | 0.210 | 0.002 | 0.280 | 2.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 67 | 54 | 59 | 103 | 65 | 75 | 71 | 71 |
N.S. | 1 | 1.00 | 0.78 | 0.63 | 0.69 | 1.20 | 0.76 | 0.87 | 0.83 | 0.83 |
time (sec) |
N/A | 0.061 | 0.032 | 0.026 | 0.349 | 0.371 | 0.114 | 0.002 | 0.128 | 2.243 |
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 | 24 | 24 | 24 | 29 | 28 | 28 | 42 | 36 | 18 | 45 |
N.S. | 1 | 1.00 | 1.00 | 1.21 | 1.17 | 1.17 | 1.75 | 1.50 | 0.75 | 1.88 |
time (sec) |
N/A | 0.004 | 0.013 | 0.056 | 0.261 | 0.331 | 0.433 | 0.001 | 0.036 | 2.277 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | F | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 126 | 172 | 272 | 638 | 0 | 229 | 223 | 258 |
N.S. | 1 | 1.00 | 0.63 | 0.86 | 1.36 | 3.19 | 0.00 | 1.14 | 1.12 | 1.29 |
time (sec) |
N/A | 0.253 | 0.045 | 0.053 | 0.431 | 1.024 | 0.000 | 0.072 | 0.240 | 68.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 41 | 22 | 30 | 27 | 20 | 30 | 11 | 21 |
N.S. | 1 | 1.00 | 2.28 | 1.22 | 1.67 | 1.50 | 1.11 | 1.67 | 0.61 | 1.17 |
time (sec) |
N/A | 0.008 | 0.013 | 0.059 | 0.265 | 0.348 | 0.141 | 0.004 | 0.488 | 1.995 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 27 | 15 | 14 | 15 | 17 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 0.83 | 0.78 | 0.83 | 0.94 | 0.78 | 0.78 |
time (sec) |
N/A | 0.004 | 0.008 | 0.043 | 0.263 | 0.341 | 0.058 | 0.000 | 0.056 | 1.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 21 | 28 | 20 | 26 | 33 | 20 | 20 |
N.S. | 1 | 1.00 | 0.88 | 0.66 | 0.88 | 0.62 | 0.81 | 1.03 | 0.62 | 0.62 |
time (sec) |
N/A | 0.009 | 0.012 | 0.069 | 0.255 | 0.339 | 0.061 | 0.000 | 0.027 | 1.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 14 | 15 | 12 | 12 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 0.88 | 0.94 | 0.75 | 0.75 |
time (sec) |
N/A | 0.002 | 0.010 | 0.084 | 0.347 | 0.335 | 0.074 | 0.001 | 0.031 | 1.674 |
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 | 10 | 10 | 10 | 9 | 19 | 19 | 26 | 31 | 8 | 25 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 1.90 | 1.90 | 2.60 | 3.10 | 0.80 | 2.50 |
time (sec) |
N/A | 0.002 | 0.010 | 0.056 | 0.246 | 0.331 | 0.290 | 0.001 | 0.159 | 1.908 |
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 | 14 | 14 | 25 | 50 | 17 | 8 | 22 | 27 | 8 | 17 |
N.S. | 1 | 1.00 | 1.79 | 3.57 | 1.21 | 0.57 | 1.57 | 1.93 | 0.57 | 1.21 |
time (sec) |
N/A | 0.003 | 0.010 | 0.100 | 0.253 | 0.331 | 0.082 | 0.001 | 0.150 | 1.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 29 | 54 | 21 | 21 | 36 | 31 | 25 | 31 |
N.S. | 1 | 1.00 | 0.94 | 1.74 | 0.68 | 0.68 | 1.16 | 1.00 | 0.81 | 1.00 |
time (sec) |
N/A | 0.015 | 0.012 | 0.077 | 0.257 | 0.337 | 1.000 | 0.001 | 0.192 | 2.887 |
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 | 32 | 32 | 21 | 23 | 22 | 17 | 76 | 39 | 19 | 56 |
N.S. | 1 | 1.00 | 0.66 | 0.72 | 0.69 | 0.53 | 2.38 | 1.22 | 0.59 | 1.75 |
time (sec) |
N/A | 0.004 | 0.011 | 0.053 | 0.275 | 0.339 | 0.611 | 0.000 | 0.033 | 2.333 |
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 | 25 | 24 | 24 | 75 | 34 | 24 | 66 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.77 | 0.77 | 2.42 | 1.10 | 0.77 | 2.13 |
time (sec) |
N/A | 0.005 | 0.019 | 0.089 | 0.352 | 0.332 | 0.621 | 0.001 | 0.159 | 2.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 22 | 20 | 19 | 14 | 117 | 36 | 12 | 57 |
N.S. | 1 | 1.00 | 0.76 | 0.69 | 0.66 | 0.48 | 4.03 | 1.24 | 0.41 | 1.97 |
time (sec) |
N/A | 0.004 | 0.010 | 0.041 | 0.251 | 0.329 | 0.444 | 0.001 | 0.236 | 2.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.003 | 0.009 | 0.076 | 0.354 | 0.338 | 0.121 | 0.001 | 0.243 | 1.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 19 | 16 | 15 | 15 | 17 | 20 | 15 | 15 |
N.S. | 1 | 1.00 | 0.90 | 0.76 | 0.71 | 0.71 | 0.81 | 0.95 | 0.71 | 0.71 |
time (sec) |
N/A | 0.008 | 0.010 | 0.049 | 0.273 | 0.313 | 0.067 | 0.001 | 0.172 | 1.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 23 | 22 | 22 | 26 | 33 | 22 | 22 |
N.S. | 1 | 1.00 | 0.93 | 0.77 | 0.73 | 0.73 | 0.87 | 1.10 | 0.73 | 0.73 |
time (sec) |
N/A | 0.011 | 0.014 | 0.070 | 0.252 | 0.355 | 0.074 | 0.001 | 0.039 | 1.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 20 | 16 | 19 | 16 | 26 | 39 | 16 | 16 |
N.S. | 1 | 1.00 | 0.74 | 0.59 | 0.70 | 0.59 | 0.96 | 1.44 | 0.59 | 0.59 |
time (sec) |
N/A | 0.007 | 0.012 | 0.036 | 0.303 | 0.325 | 0.449 | 0.000 | 0.262 | 2.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 127 | 166 | 293 | 547 | 0 | 224 | 208 | 0 |
N.S. |
1 | 1.00 | 0.63 | 0.83 | 1.46 | 2.72 | 0.00 | 1.11 | 1.03 | 0.00 |
time (sec) |
N/A | 0.147 | 0.044 | 0.050 | 0.342 | 1.061 | 0.000 | 0.075 | 0.062 | 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 | 62 | 62 | 62 | 46 | 45 | 47 | 68 | 65 | 73 | 47 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.73 | 0.76 | 1.10 | 1.05 | 1.18 | 0.76 |
time (sec) |
N/A | 0.024 | 0.037 | 0.042 | 0.343 | 0.348 | 0.188 | 0.004 | 0.171 | 2.153 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 117 | 83 | 82 | 76 | 0 | 178 | 82 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.64 | 0.63 | 0.58 | 0.00 | 1.37 | 0.63 | 0.00 |
time (sec) |
N/A | 0.030 | 0.038 | 0.061 | 0.262 | 0.358 | 0.000 | 0.005 | 0.143 | 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 | 24 | 24 | 24 | 40 | 37 | 26 | 0 | 31 | 20 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.67 | 1.54 | 1.08 | 0.00 | 1.29 | 0.83 | 0.00 |
time (sec) |
N/A | 0.006 | 0.018 | 0.083 | 0.338 | 0.345 | 0.000 | 0.004 | 0.157 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 12 | 11 | 13 | 10 | 11 | 9 | 11 |
N.S. | 1 | 1.00 | 1.00 | 1.09 | 1.00 | 1.18 | 0.91 | 1.00 | 0.82 | 1.00 |
time (sec) |
N/A | 0.013 | 0.006 | 0.061 | 0.264 | 0.348 | 0.084 | 0.001 | 0.143 | 1.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 15 | 15 | 14 | 14 | 15 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 0.88 | 0.82 | 0.82 | 0.88 | 1.00 |
time (sec) |
N/A | 0.020 | 0.024 | 0.023 | 0.262 | 0.359 | 0.064 | 0.001 | 0.213 | 1.788 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 10 | 21 | 21 | 26 | 32 | 9 | 23 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 1.75 | 1.75 | 2.17 | 2.67 | 0.75 | 1.92 |
time (sec) |
N/A | 0.005 | 0.016 | 0.023 | 0.251 | 0.344 | 0.683 | 0.001 | 0.030 | 2.905 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 36 | 35 | 35 | 32 | 38 | 40 | 38 |
N.S. | 1 | 1.00 | 1.00 | 1.29 | 1.25 | 1.25 | 1.14 | 1.36 | 1.43 | 1.36 |
time (sec) |
N/A | 0.008 | 0.020 | 0.022 | 0.247 | 0.334 | 0.795 | 0.001 | 0.190 | 2.792 |
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 | 43 | 43 | 43 | 22 | 30 | 27 | 20 | 30 | 11 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.51 | 0.70 | 0.63 | 0.47 | 0.70 | 0.26 | 0.49 |
time (sec) |
N/A | 0.012 | 0.009 | 0.031 | 0.254 | 0.335 | 0.114 | 0.002 | 0.392 | 1.975 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 24 | 19 | 39 | 38 | 39 | 49 | 21 | 30 |
N.S. | 1 | 1.00 | 1.14 | 0.90 | 1.86 | 1.81 | 1.86 | 2.33 | 1.00 | 1.43 |
time (sec) |
N/A | 0.006 | 0.016 | 0.000 | 0.352 | 0.376 | 0.225 | 0.006 | 0.373 | 2.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 24 | 16 | 25 | 17 | 14 | 26 | 11 | 15 |
N.S. | 1 | 1.00 | 2.18 | 1.45 | 2.27 | 1.55 | 1.27 | 2.36 | 1.00 | 1.36 |
time (sec) |
N/A | 0.007 | 0.013 | 0.053 | 0.253 | 0.375 | 0.120 | 0.002 | 0.068 | 1.903 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 43 | 22 | 30 | 27 | 20 | 30 | 11 | 21 |
N.S. | 1 | 1.00 | 2.39 | 1.22 | 1.67 | 1.50 | 1.11 | 1.67 | 0.61 | 1.17 |
time (sec) |
N/A | 0.008 | 0.012 | 0.057 | 0.260 | 0.342 | 0.127 | 0.002 | 0.480 | 2.043 |
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 | 24 | 24 | 35 | 24 | 25 | 35 | 0 | 32 | 16 | 0 |
N.S. |
1 | 1.00 | 1.46 | 1.00 | 1.04 | 1.46 | 0.00 | 1.33 | 0.67 | 0.00 |
time (sec) |
N/A | 0.031 | 0.014 | 0.063 | 0.271 | 0.358 | 0.000 | 0.001 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 39 | 24 | 220 | 35 | 0 | 31 | 16 | 0 |
N.S. |
1 | 1.00 | 1.62 | 1.00 | 9.17 | 1.46 | 0.00 | 1.29 | 0.67 | 0.00 |
time (sec) |
N/A | 0.017 | 0.022 | 0.093 | 0.270 | 0.343 | 0.000 | 0.001 | 0.338 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 24 | 23 | 33 | 0 | 28 | 22 | 55 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.28 | 1.83 | 0.00 | 1.56 | 1.22 | 3.06 |
time (sec) |
N/A | 0.021 | 0.013 | 0.050 | 0.254 | 0.388 | 0.000 | 0.001 | 0.128 | 4.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 38 | 35 | 61 | 98 | 0 | 75 | 31 | 0 |
N.S. |
1 | 1.00 | 1.06 | 0.97 | 1.69 | 2.72 | 0.00 | 2.08 | 0.86 | 0.00 |
time (sec) |
N/A | 0.015 | 0.031 | 0.092 | 0.354 | 0.341 | 0.000 | 0.006 | 0.728 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F(-1) | A | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 15 | 43 | 0 | 25 | 15 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.00 | 2.87 | 0.00 | 1.67 | 1.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.032 | 0.000 | 0.346 | 0.359 | 0.000 | 0.002 | 0.499 | 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 | 12 | 12 | 10 | 14 | 8 | 8 | 7 | 10 | 8 | 8 |
N.S. | 1 | 1.00 | 0.83 | 1.17 | 0.67 | 0.67 | 0.58 | 0.83 | 0.67 | 0.67 |
time (sec) |
N/A | 0.001 | 0.002 | 0.049 | 0.274 | 0.324 | 0.035 | 0.000 | 0.042 | 1.630 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 12 | 26 | 11 | 12 | 17 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.71 | 1.53 | 0.65 | 0.71 | 1.00 | 0.65 | 0.65 |
time (sec) |
N/A | 0.002 | 0.002 | 0.010 | 0.254 | 0.338 | 0.061 | 0.000 | 0.028 | 1.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 8 | 9 | 10 | 10 | 7 | 11 | 6 | 8 |
N.S. | 1 | 1.00 | 0.67 | 0.75 | 0.83 | 0.83 | 0.58 | 0.92 | 0.50 | 0.67 |
time (sec) |
N/A | 0.007 | 0.007 | 0.015 | 0.270 | 0.344 | 0.170 | 0.001 | 0.196 | 1.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 24 | 27 | 34 | 27 | 34 | 30 | 23 |
N.S. | 1 | 1.00 | 1.00 | 1.50 | 1.69 | 2.12 | 1.69 | 2.12 | 1.88 | 1.44 |
time (sec) |
N/A | 0.009 | 0.006 | 0.015 | 0.259 | 0.361 | 0.058 | 0.004 | 0.002 | 2.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 42 | 14 | 14 | 14 | 17 | 13 | 14 |
N.S. | 1 | 1.00 | 1.00 | 2.47 | 0.82 | 0.82 | 0.82 | 1.00 | 0.76 | 0.82 |
time (sec) |
N/A | 0.015 | 0.013 | 0.020 | 0.263 | 0.362 | 0.048 | 0.001 | 0.002 | 1.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 17 | 11 | 11 | 20 | 15 | 11 | 12 |
N.S. | 1 | 1.00 | 0.67 | 0.71 | 0.46 | 0.46 | 0.83 | 0.62 | 0.46 | 0.50 |
time (sec) |
N/A | 0.005 | 0.006 | 0.000 | 0.305 | 0.319 | 0.078 | 0.000 | 0.002 | 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 | 42 | 42 | 42 | 31 | 30 | 30 | 36 | 43 | 30 | 30 |
N.S. | 1 | 1.00 | 1.00 | 0.74 | 0.71 | 0.71 | 0.86 | 1.02 | 0.71 | 0.71 |
time (sec) |
N/A | 0.025 | 0.005 | 0.017 | 0.257 | 0.331 | 0.076 | 0.001 | 0.184 | 1.940 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 7 | 6 | 6 | 7 | 8 | 6 | 6 |
N.S. | 1 | 1.00 | 1.00 | 0.88 | 0.75 | 0.75 | 0.88 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.008 | 0.002 | 0.009 | 0.263 | 0.326 | 0.127 | 0.000 | 0.069 | 1.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 11 | 10 | 10 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.67 | 0.92 | 0.83 | 0.83 |
time (sec) |
N/A | 0.004 | 0.002 | 0.049 | 0.270 | 0.329 | 0.034 | 0.000 | 0.031 | 1.663 |
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 | 5 | 5 | 5 | 4 | 3 | 3 | 3 | 3 | 3 | 4 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.60 | 0.60 | 0.60 | 0.60 | 0.60 | 0.80 |
time (sec) |
N/A | 0.003 | 0.004 | 0.010 | 0.272 | 0.327 | 0.335 | 0.000 | 0.031 | 1.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 14 | 19 | 10 | 19 | 14 | 13 | 18 | 10 |
N.S. | 1 | 1.00 | 0.58 | 0.79 | 0.42 | 0.79 | 0.58 | 0.54 | 0.75 | 0.42 |
time (sec) |
N/A | 0.017 | 0.005 | 0.016 | 0.255 | 0.342 | 0.032 | 0.000 | 0.002 | 1.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 9 | 8 | 11 | 8 | 23 | 32 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 1.00 | 1.38 | 1.00 | 2.88 | 4.00 | 1.75 |
time (sec) |
N/A | 0.014 | 0.016 | 0.062 | 0.259 | 0.357 | 0.062 | 0.007 | 0.420 | 1.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 8 | 11 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.62 | 0.85 | 0.85 | 0.85 |
time (sec) |
N/A | 0.001 | 0.001 | 0.044 | 0.263 | 0.330 | 0.063 | 0.000 | 0.002 | 1.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.005 | 0.260 | 0.323 | 0.044 | 0.000 | 0.188 | 1.690 |
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 | 24 | 24 | 24 | 19 | 18 | 18 | 109 | 24 | 18 | 111 |
N.S. | 1 | 1.00 | 1.00 | 0.79 | 0.75 | 0.75 | 4.54 | 1.00 | 0.75 | 4.62 |
time (sec) |
N/A | 0.004 | 0.013 | 0.099 | 0.380 | 0.319 | 0.603 | 0.001 | 0.039 | 2.816 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 16 | 8 | 12 | 12 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.33 | 0.67 | 1.00 | 1.00 | 1.33 |
time (sec) |
N/A | 0.003 | 0.003 | 0.041 | 0.262 | 0.333 | 0.038 | 0.000 | 0.034 | 1.650 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 17 | 16 | 16 | 15 | 17 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.00 | 0.94 | 1.06 | 1.00 | 1.00 |
time (sec) |
N/A | 0.003 | 0.002 | 0.023 | 0.355 | 0.353 | 0.057 | 0.001 | 0.180 | 1.695 |
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 | 22 | 22 | 22 | 30 | 29 | 29 | 32 | 0 | 18 | 29 |
N.S. | 1 | 1.00 | 1.00 | 1.36 | 1.32 | 1.32 | 1.45 | 0.00 | 0.82 | 1.32 |
time (sec) |
N/A | 0.033 | 0.024 | 0.011 | 0.252 | 0.358 | 0.990 | 0.000 | 0.254 | 3.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 56 | 43 | 19 | 46 | 54 | 79 | 42 | 42 |
N.S. | 1 | 1.00 | 2.07 | 1.59 | 0.70 | 1.70 | 2.00 | 2.93 | 1.56 | 1.56 |
time (sec) |
N/A | 0.004 | 0.012 | 0.039 | 0.252 | 0.362 | 0.152 | 0.001 | 0.032 | 1.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 22 | 30 | 14 | 14 | 17 | 14 | 14 |
N.S. | 1 | 1.00 | 1.00 | 1.29 | 1.76 | 0.82 | 0.82 | 1.00 | 0.82 | 0.82 |
time (sec) |
N/A | 0.015 | 0.008 | 0.031 | 0.263 | 0.372 | 0.050 | 0.002 | 0.187 | 1.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.68 | 0.82 | 0.73 | 0.73 |
time (sec) |
N/A | 0.005 | 0.003 | 0.090 | 0.355 | 0.349 | 0.050 | 0.001 | 0.162 | 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 | 32 | 32 | 28 | 25 | 24 | 24 | 24 | 32 | 24 | 24 |
N.S. | 1 | 1.00 | 0.88 | 0.78 | 0.75 | 0.75 | 0.75 | 1.00 | 0.75 | 0.75 |
time (sec) |
N/A | 0.007 | 0.007 | 0.004 | 0.338 | 0.341 | 0.078 | 0.002 | 0.028 | 1.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 35 | 28 | 66 | 46 | 30 | 67 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 1.17 | 0.93 | 2.20 | 1.53 | 1.00 | 2.23 |
time (sec) |
N/A | 0.010 | 0.017 | 0.057 | 0.347 | 0.353 | 0.642 | 0.001 | 0.063 | 2.695 |
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 | 13 | 13 | 13 | 14 | 13 | 13 | 10 | 14 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 0.77 | 1.08 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.002 | 0.057 | 0.248 | 0.326 | 0.046 | 0.001 | 0.050 | 1.698 |
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 | 16 | 16 | 14 | 17 | 44 | 14 | 17 | 30 | 16 | 16 |
N.S. | 1 | 1.00 | 0.88 | 1.06 | 2.75 | 0.88 | 1.06 | 1.88 | 1.00 | 1.00 |
time (sec) |
N/A | 0.016 | 0.011 | 0.016 | 0.272 | 0.336 | 0.103 | 0.000 | 0.180 | 1.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 20 | 14 | 15 | 15 | 14 | 20 | 13 | 13 |
N.S. | 1 | 1.00 | 1.18 | 0.82 | 0.88 | 0.88 | 0.82 | 1.18 | 0.76 | 0.76 |
time (sec) |
N/A | 0.006 | 0.004 | 0.010 | 0.257 | 0.333 | 0.047 | 0.004 | 0.070 | 1.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 3 | 3 | 3 |
N.S. | 1 | 1.00 | 1.00 | 1.33 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.011 | 0.004 | 0.036 | 0.350 | 0.351 | 0.090 | 0.001 | 0.073 | 1.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 21 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.77 | 0.73 | 0.73 | 0.91 | 0.95 | 0.73 | 0.73 |
time (sec) |
N/A | 0.007 | 0.011 | 0.011 | 0.251 | 0.350 | 0.104 | 0.001 | 0.225 | 1.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 9 | 9 | 7 | 8 | 9 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.11 | 1.00 | 1.00 | 0.78 | 0.89 | 1.00 | 1.00 |
time (sec) |
N/A | 0.002 | 0.003 | 0.013 | 0.257 | 0.383 | 0.026 | 0.000 | 0.018 | 1.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 0.012 | 0.002 | 0.007 | 0.304 | 0.336 | 0.043 | 0.000 | 0.046 | 1.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 23 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.85 | 0.70 | 0.74 |
time (sec) |
N/A | 0.006 | 0.021 | 0.027 | 0.252 | 0.337 | 0.105 | 0.001 | 0.028 | 1.888 |
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 | 17 | 17 | 17 | 14 | 13 | 22 | 26 | 15 | 13 | 13 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.76 | 1.29 | 1.53 | 0.88 | 0.76 | 0.76 |
time (sec) |
N/A | 0.005 | 0.008 | 0.063 | 0.251 | 0.357 | 0.142 | 0.001 | 0.058 | 1.968 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 20 | 19 | 19 | 19 | 24 | 25 | 19 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.76 | 0.76 | 0.96 | 1.00 | 0.76 |
time (sec) |
N/A | 0.009 | 0.004 | 0.013 | 0.355 | 0.334 | 0.063 | 0.001 | 0.176 | 1.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 28 | 50 | 29 | 25 | 29 | 52 | 25 | 29 |
N.S. | 1 | 1.00 | 0.72 | 1.28 | 0.74 | 0.64 | 0.74 | 1.33 | 0.64 | 0.74 |
time (sec) |
N/A | 0.010 | 0.008 | 0.023 | 0.263 | 0.347 | 0.054 | 0.002 | 0.041 | 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 | 26 | 26 | 16 | 21 | 13 | 13 | 12 | 14 | 13 | 16 |
N.S. | 1 | 1.00 | 0.62 | 0.81 | 0.50 | 0.50 | 0.46 | 0.54 | 0.50 | 0.62 |
time (sec) |
N/A | 0.016 | 0.017 | 0.012 | 0.254 | 0.331 | 0.043 | 0.001 | 0.050 | 1.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 15 | 10 | 10 | 12 | 10 | 10 | 10 |
N.S. | 1 | 1.00 | 1.50 | 1.25 | 0.83 | 0.83 | 1.00 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.003 | 0.007 | 0.013 | 0.339 | 0.335 | 0.031 | 0.027 | 0.178 | 1.771 |
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 | 25 | 25 | 24 | 30 | 22 | 20 | 0 | 26 | 20 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.20 | 0.88 | 0.80 | 0.00 | 1.04 | 0.80 | 0.00 |
time (sec) |
N/A | 0.004 | 0.043 | 0.080 | 0.346 | 0.352 | 0.000 | 0.002 | 0.273 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 23 | 22 | 21 | 21 | 20 | 30 | 21 | 21 |
N.S. | 1 | 1.00 | 0.85 | 0.81 | 0.78 | 0.78 | 0.74 | 1.11 | 0.78 | 0.78 |
time (sec) |
N/A | 0.010 | 0.004 | 0.030 | 0.299 | 0.362 | 0.110 | 0.002 | 0.168 | 1.826 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 12 | 11 | 11 | 15 | 26 | 12 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.63 | 0.58 | 0.58 | 0.79 | 1.37 | 0.63 | 0.58 |
time (sec) |
N/A | 0.002 | 0.002 | 0.017 | 0.249 | 0.348 | 0.770 | 0.002 | 0.026 | 2.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 6 | 19 | 15 | 19 | 19 | 15 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 3.17 | 2.50 | 3.17 | 3.17 | 2.50 | 2.83 |
time (sec) |
N/A | 0.006 | 0.020 | 0.009 | 0.263 | 0.337 | 0.054 | 0.001 | 0.099 | 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 | 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 | 0.009 | 0.004 | 0.011 | 0.348 | 0.335 | 0.048 | 0.001 | 0.186 | 1.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 9 | 8 | 8 | 10 | 52 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.75 | 0.67 | 0.67 | 0.83 | 4.33 | 0.67 | 0.67 |
time (sec) |
N/A | 0.002 | 0.010 | 0.126 | 0.337 | 0.324 | 0.085 | 0.003 | 0.219 | 1.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 30 | 26 | 18 | 25 | 31 | 28 | 26 | 30 |
N.S. | 1 | 1.00 | 0.88 | 0.76 | 0.53 | 0.74 | 0.91 | 0.82 | 0.76 | 0.88 |
time (sec) |
N/A | 0.020 | 0.010 | 0.027 | 0.255 | 0.368 | 0.029 | 0.002 | 0.039 | 1.879 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 23 | 7 | 8 | 29 | 0 | 7 | 6 | 0 |
N.S. |
1 | 1.00 | 1.92 | 0.58 | 0.67 | 2.42 | 0.00 | 0.58 | 0.50 | 0.00 |
time (sec) |
N/A | 0.005 | 0.050 | 0.092 | 0.334 | 0.326 | 0.000 | 0.002 | 0.163 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 59 | 14 | 21 | 44 | 14 | 21 | 44 |
N.S. | 1 | 1.00 | 1.00 | 3.69 | 0.88 | 1.31 | 2.75 | 0.88 | 1.31 | 2.75 |
time (sec) |
N/A | 0.030 | 0.013 | 0.042 | 0.256 | 0.357 | 1.918 | 0.001 | 0.134 | 4.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 7 | 7 | 20 | 6 | 5 | 7 | 12 | 6 | 5 | 19 |
N.S. | 1 | 1.00 | 2.86 | 0.86 | 0.71 | 1.00 | 1.71 | 0.86 | 0.71 | 2.71 |
time (sec) |
N/A | 0.009 | 0.006 | 0.027 | 0.280 | 0.357 | 1.056 | 0.001 | 0.049 | 1.935 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 6 | 6 | 15 | 15 | 15 | 19 | 15 | 17 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 2.50 | 2.50 | 2.50 | 3.17 | 2.50 | 2.83 |
time (sec) |
N/A | 0.011 | 0.001 | 0.010 | 0.271 | 0.402 | 0.054 | 0.000 | 0.027 | 1.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 35 | 32 | 32 | 41 | 81 | 46 | 32 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.74 | 0.74 | 0.95 | 1.88 | 1.07 | 0.74 |
time (sec) |
N/A | 0.013 | 0.006 | 0.052 | 0.337 | 0.365 | 0.066 | 0.000 | 0.088 | 1.889 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 29 | 38 | 74 | 30 | 42 | 64 | 37 | 37 |
N.S. | 1 | 1.00 | 0.78 | 1.03 | 2.00 | 0.81 | 1.14 | 1.73 | 1.00 | 1.00 |
time (sec) |
N/A | 0.047 | 0.012 | 0.018 | 0.270 | 0.345 | 0.322 | 0.001 | 0.210 | 2.497 |
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 | 9 | 9 | 9 | 8 | 7 | 12 | 0 | 8 | 27 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.78 | 1.33 | 0.00 | 0.89 | 3.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.004 | 0.143 | 0.269 | 0.363 | 0.000 | 0.002 | 2.593 | 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 | 20 | 20 | 20 | 17 | 16 | 16 | 12 | 21 | 15 | 14 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 0.60 | 1.05 | 0.75 | 0.70 |
time (sec) |
N/A | 0.002 | 0.000 | 0.005 | 0.265 | 0.334 | 0.024 | 0.000 | 0.027 | 1.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 13 | 12 | 9 | 9 | 8 | 11 | 9 | 10 |
N.S. | 1 | 1.00 | 1.08 | 1.00 | 0.75 | 0.75 | 0.67 | 0.92 | 0.75 | 0.83 |
time (sec) |
N/A | 0.014 | 0.013 | 0.010 | 0.266 | 0.357 | 0.040 | 0.001 | 0.181 | 1.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 17 | 17 | 15 | 23 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 0.71 | 1.10 | 0.81 | 0.81 |
time (sec) |
N/A | 0.008 | 0.003 | 0.052 | 0.261 | 0.337 | 0.050 | 0.000 | 0.053 | 1.757 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 22 | 30 | 27 | 20 | 30 | 11 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.51 | 0.70 | 0.63 | 0.47 | 0.70 | 0.26 | 0.49 |
time (sec) |
N/A | 0.012 | 0.009 | 0.030 | 0.266 | 0.340 | 0.117 | 0.003 | 0.396 | 2.006 |
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 | 24 | 24 | 18 | 17 | 16 | 22 | 144 | 72 | 14 | 80 |
N.S. | 1 | 1.00 | 0.75 | 0.71 | 0.67 | 0.92 | 6.00 | 3.00 | 0.58 | 3.33 |
time (sec) |
N/A | 0.003 | 0.012 | 0.057 | 0.266 | 0.315 | 0.500 | 0.001 | 0.161 | 3.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 24 | 26 | 16 | 16 | 34 | 25 | 21 | 17 |
N.S. | 1 | 1.00 | 0.63 | 0.68 | 0.42 | 0.42 | 0.89 | 0.66 | 0.55 | 0.45 |
time (sec) |
N/A | 0.012 | 0.006 | 0.007 | 0.266 | 0.340 | 0.110 | 0.001 | 0.032 | 1.890 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 37 | 93 | 30 | 32 | 39 | 45 | 32 | 30 |
N.S. | 1 | 1.00 | 1.00 | 2.51 | 0.81 | 0.86 | 1.05 | 1.22 | 0.86 | 0.81 |
time (sec) |
N/A | 0.024 | 0.031 | 0.119 | 0.346 | 0.347 | 0.857 | 0.001 | 0.196 | 2.753 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 15 | 21 | 14 | 15 | 15 | 15 |
N.S. | 1 | 1.00 | 1.00 | 0.94 | 0.88 | 1.24 | 0.82 | 0.88 | 0.88 | 0.88 |
time (sec) |
N/A | 0.018 | 0.003 | 0.061 | 0.260 | 0.361 | 0.052 | 0.000 | 0.043 | 1.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 35 | 38 | 26 | 39 | 34 | 34 | 34 |
N.S. | 1 | 1.00 | 0.72 | 0.88 | 0.95 | 0.65 | 0.98 | 0.85 | 0.85 | 0.85 |
time (sec) |
N/A | 0.042 | 0.030 | 0.029 | 0.266 | 0.371 | 0.106 | 0.001 | 0.200 | 1.953 |
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 | 5 | 20 | 5 | 4 | 5 | 5 |
N.S. | 1 | 1.00 | 1.00 | 1.20 | 1.00 | 4.00 | 1.00 | 0.80 | 1.00 | 1.00 |
time (sec) |
N/A | 0.006 | 1.666 | 0.028 | 0.272 | 0.380 | 0.137 | 0.000 | 0.219 | 1.737 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 6 | 6 | 14 | 5 | 4 | 18 | 3 | 5 | 4 | 4 |
N.S. | 1 | 1.00 | 2.33 | 0.83 | 0.67 | 3.00 | 0.50 | 0.83 | 0.67 | 0.67 |
time (sec) |
N/A | 0.001 | 0.020 | 0.082 | 0.358 | 0.338 | 0.067 | 0.001 | 0.011 | 1.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 24 | 30 | 62 | 62 | 61 | 27 | 29 | 62 |
N.S. | 1 | 1.00 | 0.65 | 0.81 | 1.68 | 1.68 | 1.65 | 0.73 | 0.78 | 1.68 |
time (sec) |
N/A | 0.008 | 0.005 | 0.052 | 0.261 | 0.341 | 0.067 | 0.001 | 0.124 | 2.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | A | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 58 | 18 | 36 | 19 | 22 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 2.76 | 0.86 | 1.71 | 0.90 | 1.05 | 0.86 | 0.86 |
time (sec) |
N/A | 0.018 | 0.017 | 0.051 | 0.259 | 0.331 | 0.051 | 0.004 | 0.377 | 1.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 24 | 22 | 41 | 31 | 24 | 24 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 0.80 | 0.73 | 1.37 | 1.03 | 0.80 | 0.80 |
time (sec) |
N/A | 0.022 | 0.040 | 0.032 | 0.266 | 0.358 | 0.077 | 0.001 | 0.308 | 1.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | C | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 4 | 4 | 27 | 4 | 3 | 3 | 3 | 3 | 3 | 4 |
N.S. | 1 | 1.00 | 6.75 | 1.00 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 1.00 |
time (sec) |
N/A | 0.012 | 0.004 | 0.058 | 0.260 | 0.335 | 0.229 | 0.000 | 0.249 | 1.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 15 | 11 | 10 | 18 | 11 | 11 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 1.15 | 0.85 | 0.77 | 1.38 | 0.85 | 0.85 |
time (sec) |
N/A | 0.003 | 0.002 | 0.051 | 0.266 | 0.325 | 0.049 | 0.001 | 0.069 | 1.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 24 | 41 | 21 | 21 | 22 | 26 | 21 | 22 |
N.S. | 1 | 1.00 | 0.55 | 0.93 | 0.48 | 0.48 | 0.50 | 0.59 | 0.48 | 0.50 |
time (sec) |
N/A | 0.022 | 0.014 | 0.016 | 0.262 | 0.377 | 0.044 | 0.000 | 0.042 | 1.812 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 42 | 28 | 27 | 25 | 37 | 46 | 27 | 27 |
N.S. | 1 | 1.00 | 1.02 | 0.68 | 0.66 | 0.61 | 0.90 | 1.12 | 0.66 | 0.66 |
time (sec) |
N/A | 0.008 | 0.023 | 0.052 | 0.363 | 0.327 | 1.674 | 0.001 | 0.043 | 3.595 |
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 | 21 |
N.S. | 1 | 1.00 | 1.00 | 0.80 | 0.76 | 0.68 | 4.56 | 0.72 | 0.56 | 0.84 |
time (sec) |
N/A | 0.019 | 0.011 | 0.046 | 0.259 | 0.353 | 1.240 | 0.001 | 0.223 | 3.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 7 | 17 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.58 | 1.42 | 0.67 | 0.67 |
time (sec) |
N/A | 0.001 | 0.002 | 0.005 | 0.259 | 0.325 | 0.039 | 0.000 | 0.175 | 1.663 |
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 | 41 | 41 | 64 | 41 | 43 | 32 | 0 | 32 | 43 | 0 |
N.S. |
1 | 1.00 | 1.56 | 1.00 | 1.05 | 0.78 | 0.00 | 0.78 | 1.05 | 0.00 |
time (sec) |
N/A | 0.008 | 0.068 | 0.083 | 0.344 | 0.346 | 0.000 | 0.005 | 0.050 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | C | A | A | A | A | F | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 27 | 119 | 27 | 27 | 29 | 33 | -1 | 0 |
N.S. |
1 | 1.00 | 0.79 | 3.50 | 0.79 | 0.79 | 0.85 | 0.97 | -0.03 | 0.00 |
time (sec) |
N/A | 0.023 | 0.014 | 0.054 | 0.356 | 0.342 | 1.389 | 0.002 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | C | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 18 | 17 | 17 | 42 | 17 | 17 | 17 |
N.S. | 1 | 1.00 | 1.00 | 0.95 | 0.89 | 0.89 | 2.21 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.004 | 0.004 | 0.044 | 0.347 | 0.329 | 0.053 | 0.001 | 0.043 | 1.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 45 | 30 | 39 | 37 | 0 | 39 | 28 | 0 |
N.S. |
1 | 1.00 | 1.18 | 0.79 | 1.03 | 0.97 | 0.00 | 1.03 | 0.74 | 0.00 |
time (sec) |
N/A | 0.008 | 0.070 | 0.135 | 0.358 | 0.333 | 0.000 | 0.002 | 0.046 | 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 | 12 | 12 | 12 | 9 | 8 | 8 | 7 | 10 | 8 | 8 |
N.S. | 1 | 1.00 | 1.00 | 0.75 | 0.67 | 0.67 | 0.58 | 0.83 | 0.67 | 0.67 |
time (sec) |
N/A | 0.003 | 0.003 | 0.055 | 0.347 | 0.330 | 0.058 | 0.000 | 0.182 | 1.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 27 | 26 | 26 | 36 | 32 | 28 | 26 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.84 | 0.84 | 1.16 | 1.03 | 0.90 | 0.84 |
time (sec) |
N/A | 0.011 | 0.007 | 0.177 | 0.350 | 0.327 | 0.056 | 0.000 | 0.038 | 1.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | F | B | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 37 | 16 | 121 | 29 | 0 | 169 | 19 | 0 |
N.S. |
1 | 1.00 | 3.70 | 1.60 | 12.10 | 2.90 | 0.00 | 16.90 | 1.90 | 0.00 |
time (sec) |
N/A | 0.006 | 0.008 | 0.045 | 0.374 | 0.367 | 0.000 | 0.037 | 0.111 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | B | B | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 30 | 29 | 26 | 22 | 39 | 13 | 26 |
N.S. | 1 | 1.00 | 1.00 | 2.00 | 1.93 | 1.73 | 1.47 | 2.60 | 0.87 | 1.73 |
time (sec) |
N/A | 0.004 | 0.004 | 0.043 | 0.259 | 0.363 | 0.075 | 0.001 | 0.059 | 2.156 |
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 | 21 | 14 | 0 | 13 | 63 | 38 | 21 | 27 |
N.S. | 1 | 1.00 | 1.00 | 0.67 | 0.00 | 0.62 | 3.00 | 1.81 | 1.00 | 1.29 |
time (sec) |
N/A | 0.003 | 0.057 | 0.007 | 0.000 | 0.315 | 0.166 | 0.003 | 0.199 | 2.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 18 | 19 | 17 | 19 | 21 | 17 | 17 |
N.S. | 1 | 1.00 | 0.78 | 0.78 | 0.83 | 0.74 | 0.83 | 0.91 | 0.74 | 0.74 |
time (sec) |
N/A | 0.011 | 0.027 | 0.011 | 0.277 | 0.346 | 0.062 | 0.001 | 0.249 | 1.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 17 | 23 | 16 | 16 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.80 | 0.80 | 0.85 | 1.15 | 0.80 | 0.80 |
time (sec) |
N/A | 0.005 | 0.007 | 0.011 | 0.261 | 0.343 | 0.141 | 0.001 | 0.251 | 1.771 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 19 | 14 | 18 | 18 | 18 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 1.00 | 1.06 | 0.78 | 1.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.005 | 0.003 | 0.019 | 0.260 | 0.366 | 0.064 | 0.000 | 0.168 | 1.772 |
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 | 20 | 19 | 25 | 20 | 22 | 19 | 22 |
N.S. | 1 | 1.00 | 1.00 | 1.67 | 1.58 | 2.08 | 1.67 | 1.83 | 1.58 | 1.83 |
time (sec) |
N/A | 0.008 | 0.025 | 0.016 | 0.259 | 0.346 | 0.060 | 0.000 | 0.232 | 1.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 13 | 10 | 15 | 12 | 25 | 8 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.62 | 1.25 | 1.88 | 1.50 | 3.12 | 1.00 | 2.00 |
time (sec) |
N/A | 0.023 | 0.007 | 0.044 | 0.357 | 0.352 | 0.383 | 0.003 | 0.213 | 2.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 13 | 12 | 12 | 44 | 17 | 12 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.72 | 0.67 | 0.67 | 2.44 | 0.94 | 0.67 | 1.72 |
time (sec) |
N/A | 0.002 | 0.011 | 0.096 | 0.347 | 0.327 | 0.429 | 0.000 | 0.145 | 2.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | F | B | F(-2) | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 0 | 24 | 0 | 9 | 18 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.00 | 2.18 | 0.00 | 0.82 | 1.64 | 0.00 |
time (sec) |
N/A | 0.030 | 0.012 | 0.085 | 0.000 | 0.387 | 0.000 | 0.006 | 0.430 | 0.000 |
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 | 30 | 30 | 41 | 23 | 22 | 30 | 27 | 33 | 22 | 22 |
N.S. | 1 | 1.00 | 1.37 | 0.77 | 0.73 | 1.00 | 0.90 | 1.10 | 0.73 | 0.73 |
time (sec) |
N/A | 0.004 | 0.027 | 0.109 | 0.353 | 0.340 | 0.095 | 0.003 | 0.173 | 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 | 24 | 24 | 20 | 25 | 21 | 21 | 26 | 22 | 23 | 24 |
N.S. | 1 | 1.00 | 0.83 | 1.04 | 0.88 | 0.88 | 1.08 | 0.92 | 0.96 | 1.00 |
time (sec) |
N/A | 0.022 | 0.012 | 0.018 | 0.280 | 0.340 | 0.154 | 0.000 | 0.031 | 1.872 |
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 | 50 | 50 | 47 | 42 | 49 | 39 | 0 | 50 | 39 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.84 | 0.98 | 0.78 | 0.00 | 1.00 | 0.78 | 0.00 |
time (sec) |
N/A | 0.009 | 0.054 | 0.157 | 0.346 | 0.329 | 0.000 | 0.006 | 0.212 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 9 | 46 | 51 | 12 | 9 | 45 |
N.S. | 1 | 1.00 | 1.00 | 0.91 | 0.82 | 4.18 | 4.64 | 1.09 | 0.82 | 4.09 |
time (sec) |
N/A | 0.001 | 0.001 | 0.048 | 0.262 | 0.328 | 0.028 | 0.000 | 0.206 | 1.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 31 | 28 | 19 | 19 | 20 | 25 | 19 | 20 |
N.S. | 1 | 1.00 | 1.24 | 1.12 | 0.76 | 0.76 | 0.80 | 1.00 | 0.76 | 0.80 |
time (sec) |
N/A | 0.016 | 0.013 | 0.028 | 0.271 | 0.369 | 0.032 | 0.000 | 0.172 | 1.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 22 | 22 | 19 | 21 | 26 | 24 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.96 | 0.89 | 0.70 | 0.74 |
time (sec) |
N/A | 0.006 | 0.022 | 0.027 | 0.313 | 0.328 | 0.195 | 0.001 | 0.029 | 2.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | B | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 41 | 24 | 34 | 56 | 36 | 84 | 18 | 37 |
N.S. | 1 | 1.00 | 1.71 | 1.00 | 1.42 | 2.33 | 1.50 | 3.50 | 0.75 | 1.54 |
time (sec) |
N/A | 0.005 | 0.008 | 0.040 | 0.266 | 0.351 | 0.072 | 0.002 | 0.069 | 2.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 35 | 47 | 33 | 35 | 17 | 50 | 32 | 21 |
N.S. | 1 | 1.00 | 1.03 | 1.38 | 0.97 | 1.03 | 0.50 | 1.47 | 0.94 | 0.62 |
time (sec) |
N/A | 0.005 | 0.026 | 0.118 | 0.355 | 0.328 | 0.109 | 0.003 | 0.516 | 1.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 25 | 35 | 28 | 73 | 45 | 37 | 68 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 1.17 | 0.93 | 2.43 | 1.50 | 1.23 | 2.27 |
time (sec) |
N/A | 0.010 | 0.017 | 0.063 | 0.355 | 0.353 | 0.749 | 0.001 | 0.107 | 2.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 19 | 24 | 16 | 16 | 15 | 18 | 16 | 17 |
N.S. | 1 | 1.00 | 0.59 | 0.75 | 0.50 | 0.50 | 0.47 | 0.56 | 0.50 | 0.53 |
time (sec) |
N/A | 0.011 | 0.011 | 0.014 | 0.259 | 0.324 | 0.049 | 0.000 | 0.033 | 1.737 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | B | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 31 | 18 | 17 | 12 | 26 | 61 | 12 | 12 |
N.S. | 1 | 1.00 | 1.35 | 0.78 | 0.74 | 0.52 | 1.13 | 2.65 | 0.52 | 0.52 |
time (sec) |
N/A | 0.022 | 0.015 | 0.039 | 0.261 | 0.320 | 0.130 | 0.006 | 0.103 | 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 | 27 | 27 | 24 | 22 | 21 | 21 | 19 | 22 | 21 | 21 |
N.S. | 1 | 1.00 | 0.89 | 0.81 | 0.78 | 0.78 | 0.70 | 0.81 | 0.78 | 0.78 |
time (sec) |
N/A | 0.009 | 0.004 | 0.005 | 0.342 | 0.337 | 0.087 | 0.001 | 0.278 | 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 | 38 | 38 | 32 | 31 | 53 | 28 | 29 | 41 | 28 | 30 |
N.S. | 1 | 1.00 | 0.84 | 0.82 | 1.39 | 0.74 | 0.76 | 1.08 | 0.74 | 0.79 |
time (sec) |
N/A | 0.015 | 0.008 | 0.005 | 0.351 | 0.324 | 0.209 | 0.002 | 0.220 | 1.956 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | B | F | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 5 | 5 | 5 | 5 | 4 | 16 | 0 | 6 | 6 | 9 |
N.S. | 1 | 1.00 | 1.00 | 1.00 | 0.80 | 3.20 | 0.00 | 1.20 | 1.20 | 1.80 |
time (sec) |
N/A | 0.006 | 0.005 | 0.012 | 0.266 | 0.375 | 0.000 | 0.000 | 0.047 | 2.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 25 | 24 | 21 | 21 | 27 | 26 | 23 | 23 |
N.S. | 1 | 1.00 | 0.86 | 0.83 | 0.72 | 0.72 | 0.93 | 0.90 | 0.79 | 0.79 |
time (sec) |
N/A | 0.015 | 0.018 | 0.016 | 0.269 | 0.354 | 0.106 | 0.001 | 0.193 | 1.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 45 | 29 | 36 | 47 | 0 | 35 | 27 | 0 |
N.S. |
1 | 1.00 | 1.25 | 0.81 | 1.00 | 1.31 | 0.00 | 0.97 | 0.75 | 0.00 |
time (sec) |
N/A | 0.006 | 0.059 | 0.093 | 0.348 | 0.322 | 0.000 | 0.002 | 0.176 | 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 | 31 | 23 | 22 | 22 | 24 | 30 | 22 | 22 |
N.S. | 1 | 1.00 | 1.11 | 0.82 | 0.79 | 0.79 | 0.86 | 1.07 | 0.79 | 0.79 |
time (sec) |
N/A | 0.013 | 0.007 | 0.066 | 0.364 | 0.310 | 0.065 | 0.001 | 0.056 | 1.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | B | B | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 58 | 25 | 42 | 43 | 46 | 47 | 29 | 38 |
N.S. | 1 | 1.00 | 2.23 | 0.96 | 1.62 | 1.65 | 1.77 | 1.81 | 1.12 | 1.46 |
time (sec) |
N/A | 0.009 | 0.085 | 0.081 | 0.264 | 0.402 | 0.072 | 0.002 | 0.058 | 2.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 30 | 32 | 24 | 33 | 46 | 32 | 22 | 34 |
N.S. | 1 | 1.00 | 0.65 | 0.70 | 0.52 | 0.72 | 1.00 | 0.70 | 0.48 | 0.74 |
time (sec) |
N/A | 0.011 | 0.007 | 0.033 | 0.264 | 0.332 | 0.030 | 0.001 | 0.207 | 2.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 15 | 17 | 16 | 24 | 17 | 19 | 11 | 13 |
N.S. | 1 | 1.00 | 0.75 | 0.85 | 0.80 | 1.20 | 0.85 | 0.95 | 0.55 | 0.65 |
time (sec) |
N/A | 0.022 | 0.012 | 0.138 | 0.264 | 0.340 | 0.860 | 0.001 | 0.248 | 2.515 |
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 | 21 | 21 | 24 | 22 | 16 | 24 | 14 | 18 | 19 | 19 |
N.S. | 1 | 1.00 | 1.14 | 1.05 | 0.76 | 1.14 | 0.67 | 0.86 | 0.90 | 0.90 |
time (sec) |
N/A | 0.016 | 0.019 | 0.013 | 0.273 | 0.391 | 0.049 | 0.001 | 0.069 | 1.796 |
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 | 37 | 37 | 33 | 31 | 47 | 58 | 0 | 68 | -1 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.84 | 1.27 | 1.57 | 0.00 | 1.84 | -0.03 | 0.00 |
time (sec) |
N/A | 0.024 | 0.014 | 0.046 | 0.384 | 0.415 | 0.000 | 0.004 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | F | A | B | F(-2) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 42 | 26 | 29 | 27 | 0 | 34 | 23 | 0 |
N.S. |
1 | 1.00 | 1.50 | 0.93 | 1.04 | 0.96 | 0.00 | 1.21 | 0.82 | 0.00 |
time (sec) |
N/A | 0.005 | 0.040 | 0.062 | 0.266 | 0.355 | 0.000 | 0.002 | 0.152 | 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 | 23 | 17 | 15 | 18 | 17 | 19 | 21 | 15 |
N.S. | 1 | 1.00 | 1.21 | 0.89 | 0.79 | 0.95 | 0.89 | 1.00 | 1.11 | 0.79 |
time (sec) |
N/A | 0.005 | 0.002 | 0.064 | 0.274 | 0.330 | 0.029 | 0.000 | 0.035 | 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 | 46 | 46 | 26 | 42 | 24 | 24 | 22 | 26 | 24 | 26 |
N.S. | 1 | 1.00 | 0.57 | 0.91 | 0.52 | 0.52 | 0.48 | 0.57 | 0.52 | 0.57 |
time (sec) |
N/A | 0.024 | 0.012 | 0.029 | 0.285 | 0.335 | 0.043 | 0.000 | 0.027 | 1.854 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | B | A | A | A | F | C |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 33 | 16 | 32 | 20 | -1 | 31 |
N.S. | 1 | 1.00 | 1.00 | 0.83 | 1.83 | 0.89 | 1.78 | 1.11 | -0.06 | 1.72 |
time (sec) |
N/A | 0.005 | 0.111 | 0.109 | 0.264 | 0.327 | 0.462 | 0.002 | 0.000 | 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 | 22 | 22 | 19 | 21 | 24 | 24 | 19 | 20 |
N.S. | 1 | 1.00 | 0.81 | 0.81 | 0.70 | 0.78 | 0.89 | 0.89 | 0.70 | 0.74 |
time (sec) |
N/A | 0.006 | 0.031 | 0.031 | 0.277 | 0.343 | 0.101 | 0.001 | 0.200 | 1.883 |
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 | 18 | 22 | 18 | 17 | 16 | 15 | 0 | 15 | 18 | 0 |
N.S. |
1 | 1.22 | 1.00 | 0.94 | 0.89 | 0.83 | 0.00 | 0.83 | 1.00 | 0.00 |
time (sec) |
N/A | 0.019 | 0.005 | 0.010 | 0.274 | 0.332 | 0.000 | 0.000 | 0.235 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 23 | 22 | 21 | 21 | 20 | 30 | 21 | 21 |
N.S. | 1 | 1.00 | 0.85 | 0.81 | 0.78 | 0.78 | 0.74 | 1.11 | 0.78 | 0.78 |
time (sec) |
N/A | 0.010 | 0.004 | 0.004 | 0.268 | 0.335 | 0.112 | 0.001 | 0.002 | 1.878 |
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 | 21 | 20 | 20 | 24 | 23 | 31 | 30 |
N.S. | 1 | 1.00 | 1.00 | 0.81 | 0.77 | 0.77 | 0.92 | 0.88 | 1.19 | 1.15 |
time (sec) |
N/A | 0.008 | 0.018 | 0.043 | 0.358 | 0.342 | 0.597 | 0.001 | 0.257 | 2.533 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 11 | 14 | 9 | 9 | 15 | 9 | 9 | 10 |
N.S. | 1 | 1.00 | 0.73 | 0.93 | 0.60 | 0.60 | 1.00 | 0.60 | 0.60 | 0.67 |
time (sec) |
N/A | 0.011 | 0.013 | 0.049 | 0.281 | 0.342 | 0.963 | 0.000 | 0.274 | 2.729 |
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 | 47 | 47 | 42 | 35 | 34 | 37 | 121 | 37 | 30 | 98 |
N.S. | 1 | 1.00 | 0.89 | 0.74 | 0.72 | 0.79 | 2.57 | 0.79 | 0.64 | 2.09 |
time (sec) |
N/A | 0.007 | 0.030 | 0.082 | 0.347 | 0.350 | 1.653 | 0.003 | 0.037 | 3.785 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 36 | 10 | 9 | 26 | 27 | 12 | 26 | 25 |
N.S. | 1 | 1.00 | 3.27 | 0.91 | 0.82 | 2.36 | 2.45 | 1.09 | 2.36 | 2.27 |
time (sec) |
N/A | 0.001 | 0.001 | 0.041 | 0.263 | 0.339 | 0.026 | 0.000 | 0.024 | 1.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 13 | 13 | 12 | 19 | 14 | 12 |
N.S. | 1 | 1.00 | 1.00 | 1.06 | 0.76 | 0.76 | 0.71 | 1.12 | 0.82 | 0.71 |
time (sec) |
N/A | 0.014 | 0.008 | 0.026 | 0.273 | 0.367 | 0.030 | 0.000 | 0.050 | 1.776 |
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 | 17 | 17 | 27 | 22 | 13 | 20 | 29 | 15 | 13 | 17 |
N.S. | 1 | 1.00 | 1.59 | 1.29 | 0.76 | 1.18 | 1.71 | 0.88 | 0.76 | 1.00 |
time (sec) |
N/A | 0.014 | 0.012 | 0.019 | 0.267 | 0.344 | 0.033 | 0.001 | 0.190 | 1.961 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 18 | 20 | 19 | 17 | 36 | 84 | 14 | 17 |
N.S. | 1 | 1.00 | 0.67 | 0.74 | 0.70 | 0.63 | 1.33 | 3.11 | 0.52 | 0.63 |
time (sec) |
N/A | 0.003 | 0.007 | 0.040 | 0.260 | 0.331 | 0.517 | 0.001 | 0.035 | 2.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 22 | 18 | 16 | 19 | 24 | 21 | 16 | 16 |
N.S. | 1 | 1.00 | 0.92 | 0.75 | 0.67 | 0.79 | 1.00 | 0.88 | 0.67 | 0.67 |
time (sec) |
N/A | 0.006 | 0.002 | 0.000 | 0.283 | 0.360 | 0.029 | 0.000 | 0.032 | 1.866 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
grade |
A | A | A | A | A | A | A | A | B | A |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD | TBD |
size | 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 | 0.005 | 0.279 | 0.342 | 0.057 | 0.001 | 0.019 | 1.819 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | Mathics | |
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 | 30 | 35 | 34 | 26 | 53 | 58 | 25 | 26 |
N.S. | 1 | 1.00 | 0.75 | 0.88 | 0.85 | 0.65 | 1.32 | 1.45 | 0.62 | 0.65 |
time (sec) |
N/A | 0.009 | 0.012 | 0.107 | 0.353 | 0.322 | 0.361 | 0.001 | 0.025 | 2.265 |