Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 21 | 11 | 10 | 10 | 12 | 10 | 10 |
N.S. | 1 | 1.00 | 2.10 | 1.10 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 |
time (sec) |
N/A | 0.003 | 0.056 | 0.085 | 0.287 | 0.351 | 0.038 | 0.453 | 0.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 27 | 22 | 22 | 46 | 18 | 18 |
N.S. | 1 | 1.00 | 0.92 | 1.08 | 0.88 | 0.88 | 1.84 | 0.72 | 0.72 |
time (sec) |
N/A | 0.006 | 0.019 | 0.038 | 0.272 | 0.356 | 0.068 | 0.490 | 0.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 22 | 22 | 21 | 36 | 22 | 24 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.85 | 0.81 | 1.38 | 0.85 | 0.92 |
time (sec) |
N/A | 0.008 | 0.006 | 0.073 | 0.268 | 0.354 | 0.093 | 0.467 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 33 | 38 | 33 | 36 | 95 | 32 | 31 |
N.S. | 1 | 1.00 | 0.72 | 0.83 | 0.72 | 0.78 | 2.07 | 0.70 | 0.67 |
time (sec) |
N/A | 0.014 | 0.026 | 0.080 | 0.278 | 0.390 | 0.156 | 0.463 | 0.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 44 | 32 | 34 | 33 | 58 | 34 | 31 |
N.S. | 1 | 1.00 | 1.07 | 0.78 | 0.83 | 0.80 | 1.41 | 0.83 | 0.76 |
time (sec) |
N/A | 0.011 | 0.010 | 0.069 | 0.277 | 0.354 | 0.231 | 0.460 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 43 | 48 | 48 | 46 | 139 | 46 | 42 |
N.S. | 1 | 1.00 | 0.64 | 0.72 | 0.72 | 0.69 | 2.07 | 0.69 | 0.63 |
time (sec) |
N/A | 0.022 | 0.023 | 0.092 | 0.276 | 0.378 | 0.371 | 0.448 | 0.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 59 | 42 | 44 | 43 | 78 | 44 | 43 |
N.S. | 1 | 1.00 | 1.09 | 0.78 | 0.81 | 0.80 | 1.44 | 0.81 | 0.80 |
time (sec) |
N/A | 0.011 | 0.009 | 0.065 | 0.268 | 0.365 | 0.551 | 0.469 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 55 | 58 | 59 | 56 | 184 | 60 | 53 |
N.S. | 1 | 1.00 | 0.62 | 0.66 | 0.67 | 0.64 | 2.09 | 0.68 | 0.60 |
time (sec) |
N/A | 0.031 | 0.034 | 0.112 | 0.273 | 0.360 | 0.847 | 0.451 | 0.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 51 | 199 | 0 | 80 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.78 | 3.06 | 0.00 | 1.23 | 0.00 | 0.00 | 0.65 |
time (sec) |
N/A | 0.021 | 0.176 | 0.089 | 0.000 | 0.121 | 0.000 | 0.000 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 40 | 202 | 0 | 74 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.95 | 4.81 | 0.00 | 1.76 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.014 | 0.031 | 0.033 | 0.000 | 0.117 | 0.000 | 0.000 | 0.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 36 | 179 | 0 | 68 | 0 | 0 | 35 |
N.S. | 1 | 1.00 | 0.86 | 4.26 | 0.00 | 1.62 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.013 | 0.026 | 0.032 | 0.000 | 0.092 | 0.000 | 0.000 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 133 | 0 | 57 | 0 | 0 | 15 |
N.S. | 1 | 1.00 | 1.00 | 8.31 | 0.00 | 3.56 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.007 | 0.015 | 0.100 | 0.000 | 0.113 | 0.000 | 0.000 | 0.116 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 18 | 0 | 51 | 0 | 0 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 0.00 | 3.19 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.007 | 0.019 | 0.029 | 0.000 | 0.105 | 0.000 | 0.000 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 182 | 0 | 93 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 4.79 | 0.00 | 2.45 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.013 | 0.037 | 0.037 | 0.000 | 0.111 | 0.000 | 0.000 | 0.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 36 | 213 | 0 | 92 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 0.86 | 5.07 | 0.00 | 2.19 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.013 | 0.038 | 0.040 | 0.000 | 0.097 | 0.000 | 0.000 | 0.265 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 59 | 358 | 0 | 110 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 0.91 | 5.51 | 0.00 | 1.69 | 0.00 | 0.00 | 0.65 |
time (sec) |
N/A | 0.020 | 0.062 | 0.048 | 0.000 | 0.105 | 0.000 | 0.000 | 0.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 76 | 210 | 0 | 95 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 2.14 | 0.00 | 0.97 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.058 | 0.054 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 62 | 213 | 0 | 91 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 3.04 | 0.00 | 1.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.054 | 0.036 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 58 | 190 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 2.71 | 0.00 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.026 | 0.029 | 0.035 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 142 | 0 | 63 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.74 | 0.00 | 1.66 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.014 | 0.014 | 0.073 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 54 | 0 | 60 | 0 | 0 | 33 |
N.S. | 1 | 1.00 | 1.00 | 1.42 | 0.00 | 1.58 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.014 | 0.017 | 0.043 | 0.000 | 0.089 | 0.000 | 0.000 | 0.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 50 | 198 | 0 | 104 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 2.91 | 0.00 | 1.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.021 | 0.041 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 51 | 241 | 0 | 103 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.71 | 3.35 | 0.00 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.025 | 0.039 | 0.041 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 68 | 366 | 0 | 121 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.68 | 3.66 | 0.00 | 1.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.061 | 0.056 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.009 | 0.040 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.009 | 0.020 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.009 | 0.020 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 53 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.79 |
time (sec) |
N/A | 0.010 | 0.017 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.010 | 0.017 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.203 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 51 | 0 | 0 | 0 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.009 | 0.017 | 0.016 | 0.000 | 0.000 | 0.000 | 0.000 | 0.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.031 | 0.014 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.024 | 0.015 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.023 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.026 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.026 | 0.011 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 53 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.011 | 0.026 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 64 | 0 | 0 | 0 | 0 | 0 | 57 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.89 |
time (sec) |
N/A | 0.011 | 0.029 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 64 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.013 | 0.027 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 36 | 32 | 31 | 40 | 0 | 34 | -1 |
N.S. |
1 | 1.00 | 0.68 | 0.60 | 0.58 | 0.75 | 0.00 | 0.64 | -0.02 |
time (sec) |
N/A | 0.026 | 0.013 | 0.054 | 0.519 | 0.372 | 0.000 | 0.433 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 26 | 24 | 17 | 26 | 0 | 17 | -1 |
N.S. |
1 | 1.00 | 0.76 | 0.71 | 0.50 | 0.76 | 0.00 | 0.50 | -0.03 |
time (sec) |
N/A | 0.015 | 0.007 | 0.033 | 0.515 | 0.369 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 15 | 6 | 15 | 15 | 9 | 46 |
N.S. | 1 | 1.00 | 1.00 | 1.15 | 0.46 | 1.15 | 1.15 | 0.69 | 3.54 |
time (sec) |
N/A | 0.007 | 0.003 | 0.031 | 0.513 | 0.349 | 0.180 | 0.530 | 0.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 46 | 48 | 38 | 65 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 2.88 | 3.00 | 2.38 | 4.06 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.008 | 0.018 | 0.046 | 0.529 | 0.368 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 91 | 70 | 304 | 40 | 0 | 57 | -1 |
N.S. | 1 | 1.00 | 2.17 | 1.67 | 7.24 | 0.95 | 0.00 | 1.36 | -0.02 |
time (sec) |
N/A | 0.014 | 0.038 | 0.048 | 0.540 | 0.372 | 0.000 | 0.560 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 72 | 89 | 933 | 49 | 0 | 35 | -1 |
N.S. |
1 | 1.00 | 1.18 | 1.46 | 15.30 | 0.80 | 0.00 | 0.57 | -0.02 |
time (sec) |
N/A | 0.025 | 0.093 | 0.054 | 0.799 | 0.394 | 0.000 | 0.453 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 61 | 114 | 0 | 92 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.52 | 0.97 | 0.00 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.071 | 0.266 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 50 | 198 | 0 | 66 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.75 | 2.96 | 0.00 | 0.99 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.045 | 0.085 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 37 | 76 | 0 | 59 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.73 | 0.00 | 1.34 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.015 | 0.016 | 0.089 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 31 | 191 | 0 | 71 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.74 | 4.55 | 0.00 | 1.69 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.015 | 0.014 | 0.149 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 44 | 87 | 0 | 74 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.23 | 0.00 | 1.04 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.021 | 0.039 | 0.233 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 57 | 223 | 0 | 92 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.49 | 1.91 | 0.00 | 0.79 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.032 | 0.067 | 0.337 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 53 | 57 | 85 | 68 | 0 | 57 | -1 |
N.S. |
1 | 1.00 | 0.40 | 0.43 | 0.64 | 0.52 | 0.00 | 0.43 | -0.01 |
time (sec) |
N/A | 0.035 | 0.076 | 0.413 | 0.495 | 0.368 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 38 | 41 | 55 | 42 | 0 | 25 | -1 |
N.S. |
1 | 1.00 | 0.49 | 0.53 | 0.71 | 0.54 | 0.00 | 0.32 | -0.01 |
time (sec) |
N/A | 0.025 | 0.044 | 0.148 | 0.495 | 0.369 | 0.000 | 0.462 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 25 | 22 | 22 | 21 | 0 | 13 | -1 |
N.S. |
1 | 1.00 | 0.69 | 0.61 | 0.61 | 0.58 | 0.00 | 0.36 | -0.03 |
time (sec) |
N/A | 0.011 | 0.009 | 0.079 | 0.514 | 0.391 | 0.000 | 0.440 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 6 | 18 | 0 | 6 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.40 | 1.20 | 0.00 | 0.40 | 0.40 |
time (sec) |
N/A | 0.011 | 0.004 | 0.076 | 0.500 | 0.374 | 0.000 | 0.455 | 0.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 30 | 29 | 22 | 33 | 0 | 22 | 36 |
N.S. |
1 | 1.00 | 0.45 | 0.43 | 0.33 | 0.49 | 0.00 | 0.33 | 0.54 |
time (sec) |
N/A | 0.015 | 0.017 | 0.094 | 0.497 | 0.373 | 0.000 | 0.446 | 0.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 47 | 41 | 34 | 45 | 0 | 34 | 306 |
N.S. |
1 | 1.00 | 0.40 | 0.35 | 0.29 | 0.38 | 0.00 | 0.29 | 2.62 |
time (sec) |
N/A | 0.021 | 0.029 | 0.168 | 0.488 | 0.393 | 0.000 | 0.457 | 3.744 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.025 | 0.041 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 74 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.106 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F(-2) | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.076 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 68 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.045 | 0.047 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.028 | 0.049 | 0.043 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 72 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.81 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.030 | 0.067 | 0.040 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 74 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.067 | 0.039 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 0 | 0 | 15 | 61 | 300 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.62 | 2.54 | 12.50 | 1.67 |
time (sec) |
N/A | 0.013 | 0.018 | 0.046 | 0.000 | 0.368 | 0.441 | 1.203 | 0.404 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 74 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.036 | 0.053 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 83 | 234 | 0 | 98 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.90 | 0.00 | 0.80 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.060 | 0.128 | 0.136 | 0.000 | 0.121 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 75 | 221 | 0 | 101 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.28 | 0.00 | 1.04 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.043 | 0.096 | 0.086 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 73 | 208 | 0 | 88 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.19 | 0.00 | 0.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.042 | 0.090 | 0.084 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 62 | 211 | 0 | 88 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.90 | 3.06 | 0.00 | 1.28 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.028 | 0.040 | 0.083 | 0.000 | 0.114 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 61 | 188 | 0 | 76 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 2.81 | 0.00 | 1.13 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.029 | 0.039 | 0.080 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 142 | 0 | 63 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.74 | 0.00 | 1.66 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.015 | 0.016 | 0.177 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 142 | 0 | 57 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.00 | 3.64 | 0.00 | 1.46 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.020 | 0.021 | 0.096 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 48 | 196 | 0 | 101 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.76 | 3.11 | 0.00 | 1.60 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.035 | 0.037 | 0.095 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 49 | 239 | 0 | 100 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.70 | 3.41 | 0.00 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.037 | 0.055 | 0.104 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 69 | 363 | 0 | 118 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.73 | 3.82 | 0.00 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.054 | 0.142 | 0.129 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 69 | 396 | 0 | 112 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 4.04 | 0.00 | 1.14 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.050 | 0.122 | 0.110 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 79 | 412 | 0 | 128 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.64 | 3.35 | 0.00 | 1.04 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.134 | 0.144 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 83 | 236 | 0 | 102 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.87 | 0.00 | 0.81 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.059 | 0.065 | 0.082 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 75 | 223 | 0 | 103 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.79 | 2.35 | 0.00 | 1.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.040 | 0.064 | 0.082 | 0.000 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 73 | 210 | 0 | 91 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 2.14 | 0.00 | 0.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.041 | 0.063 | 0.080 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 65 | 213 | 0 | 89 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 3.18 | 0.00 | 1.33 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.028 | 0.057 | 0.079 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 58 | 190 | 0 | 77 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.83 | 2.71 | 0.00 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.024 | 0.011 | 0.070 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 144 | 0 | 63 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.69 | 0.00 | 1.62 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.021 | 0.011 | 0.085 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 144 | 0 | 57 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.51 | 0.00 | 1.39 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.027 | 0.015 | 0.085 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 50 | 198 | 0 | 102 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.76 | 3.00 | 0.00 | 1.55 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.038 | 0.035 | 0.091 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 51 | 241 | 0 | 101 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 3.35 | 0.00 | 1.40 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.043 | 0.091 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 69 | 364 | 0 | 119 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.70 | 3.71 | 0.00 | 1.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.053 | 0.075 | 0.112 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 69 | 398 | 0 | 115 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 3.98 | 0.00 | 1.15 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.085 | 0.099 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 79 | 414 | 0 | 132 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.63 | 3.29 | 0.00 | 1.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.067 | 0.115 | 0.131 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 83 | 236 | 0 | 108 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.89 | 0.00 | 0.86 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 0.087 | 0.085 | 0.000 | 0.123 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 75 | 223 | 0 | 107 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.77 | 2.28 | 0.00 | 1.09 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.067 | 0.084 | 0.000 | 0.150 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 76 | 210 | 0 | 95 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.78 | 2.16 | 0.00 | 0.98 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.061 | 0.079 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 62 | 213 | 0 | 91 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.89 | 3.04 | 0.00 | 1.30 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.025 | 0.012 | 0.069 | 0.000 | 0.120 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 59 | 190 | 0 | 79 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 2.64 | 0.00 | 1.10 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.033 | 0.016 | 0.079 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 144 | 0 | 63 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.00 | 3.51 | 0.00 | 1.54 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.026 | 0.011 | 0.091 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 38 | 144 | 0 | 57 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 3.51 | 0.00 | 1.39 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.027 | 0.029 | 0.089 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 50 | 198 | 0 | 104 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 2.91 | 0.00 | 1.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.036 | 0.095 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 51 | 241 | 0 | 103 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 3.35 | 0.00 | 1.43 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.038 | 0.045 | 0.093 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 69 | 366 | 0 | 123 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 3.66 | 0.00 | 1.23 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.052 | 0.097 | 0.117 | 0.000 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 69 | 398 | 0 | 119 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.69 | 3.98 | 0.00 | 1.19 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.051 | 0.116 | 0.098 | 0.000 | 0.112 | 0.000 | 0.000 | 0.000 |