Detailed conclusion table per each integral is given by the 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 as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 21 | 11 | 10 | 10 | 12 | 26 | 10 |
N.S. |
1 | 1.00 | 2.10 | 1.10 | 1.00 | 1.00 | 1.20 | 2.60 | 1.00 |
time (sec) |
N/A | 0.004 | 0.004 | 0.329 | 0.177 | 0.271 | 0.049 | 0.272 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 23 | 20 | 32 | 23 | 46 | 32 | 18 |
N.S. |
1 | 1.00 | 0.92 | 0.80 | 1.28 | 0.92 | 1.84 | 1.28 | 0.72 |
time (sec) |
N/A | 0.007 | 0.014 | 0.477 | 0.190 | 0.248 | 0.077 | 0.278 | 1.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 29 | 23 | 54 | 38 | 36 | 54 | 24 |
N.S. |
1 | 1.00 | 1.07 | 0.85 | 2.00 | 1.41 | 1.33 | 2.00 | 0.89 |
time (sec) |
N/A | 0.010 | 0.004 | 1.493 | 0.186 | 0.244 | 0.100 | 0.273 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 33 | 31 | 60 | 49 | 95 | 60 | 32 |
N.S. |
1 | 1.00 | 0.72 | 0.67 | 1.30 | 1.07 | 2.07 | 1.30 | 0.70 |
time (sec) |
N/A | 0.016 | 0.041 | 1.428 | 0.188 | 0.244 | 0.145 | 0.286 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 44 | 33 | 82 | 79 | 58 | 82 | 31 |
N.S. |
1 | 1.00 | 1.07 | 0.80 | 2.00 | 1.93 | 1.41 | 2.00 | 0.76 |
time (sec) |
N/A | 0.012 | 0.030 | 1.520 | 0.180 | 0.244 | 0.200 | 0.275 | 1.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 43 | 42 | 86 | 90 | 139 | 88 | 42 |
N.S. |
1 | 1.00 | 0.64 | 0.63 | 1.28 | 1.34 | 2.07 | 1.31 | 0.63 |
time (sec) |
N/A | 0.024 | 0.057 | 1.643 | 0.186 | 0.240 | 0.311 | 0.270 | 0.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 75 | 116 | 0 | 326 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.13 | 0.00 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 0.116 | 0.853 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 68 | 164 | 0 | 202 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 2.05 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.027 | 0.064 | 0.749 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 83 | 100 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 1.25 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.071 | 0.777 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 50 | 108 | 0 | 37 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 2.00 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.083 | 0.891 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 48 | 87 | 0 | 24 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 1.61 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.097 | 0.594 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 57 | 154 | 0 | 152 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.03 | 0.00 | 2.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.025 | 0.049 | 0.875 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 86 | 101 | 0 | 314 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.08 | 1.26 | 0.00 | 3.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.067 | 0.780 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 73 | 192 | 0 | 621 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.86 | 0.00 | 6.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 0.126 | 0.802 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 76 | 122 | 0 | 394 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 1.05 | 0.00 | 3.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.045 | 0.217 | 1.058 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 68 | 170 | 0 | 249 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 1.93 | 0.00 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.033 | 0.102 | 0.783 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 88 | 106 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.103 | 0.891 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 52 | 111 | 0 | 42 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.98 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.052 | 1.246 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 54 | 89 | 0 | 27 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.59 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 0.038 | 0.731 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 62 | 159 | 0 | 169 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.85 | 0.00 | 1.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.059 | 0.746 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 84 | 114 | 0 | 347 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.27 | 0.00 | 3.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 0.081 | 0.875 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 79 | 205 | 0 | 675 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.74 | 0.00 | 5.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.046 | 0.134 | 0.934 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 65 | 122 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.71 | 1.34 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 0.134 | 0.849 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 55 | 169 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 2.73 | 0.00 | 1.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.053 | 0.868 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 94 | 104 | 0 | 79 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 1.68 | 0.00 | 1.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.107 | 1.084 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 91 | 0 | 53 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 3.03 | 0.00 | 1.77 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 0.025 | 1.485 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 28 | 68 | 0 | 20 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 2.27 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 0.031 | 0.641 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 50 | 159 | 0 | 87 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 2.74 | 0.00 | 1.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.015 | 0.081 | 0.973 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 83 | 112 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.34 | 1.81 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 0.074 | 0.934 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 80 | 204 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 2.24 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.100 | 0.977 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.044 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 57 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 55 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.029 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 65 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.013 | 0.031 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 67 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.012 | 0.033 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 134 | 51 | 59 | 67 | 58 | 50 | 50 |
N.S. |
1 | 1.00 | 2.91 | 1.11 | 1.28 | 1.46 | 1.26 | 1.09 | 1.09 |
time (sec) |
N/A | 0.045 | 0.148 | 3.487 | 0.189 | 0.246 | 0.092 | 0.279 | 1.262 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 41 | 39 | 45 | 55 | 41 | 38 | 38 |
N.S. |
1 | 1.00 | 1.14 | 1.08 | 1.25 | 1.53 | 1.14 | 1.06 | 1.06 |
time (sec) |
N/A | 0.032 | 0.100 | 2.369 | 0.191 | 0.239 | 0.078 | 0.259 | 1.165 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 79 | 25 | 33 | 37 | 20 | 26 | 24 |
N.S. |
1 | 1.00 | 3.59 | 1.14 | 1.50 | 1.68 | 0.91 | 1.18 | 1.09 |
time (sec) |
N/A | 0.041 | 0.086 | 1.780 | 0.187 | 0.254 | 0.061 | 0.261 | 1.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 43 | 13 | 12 | 16 | 8 | 10 | 12 |
N.S. |
1 | 1.00 | 3.07 | 0.93 | 0.86 | 1.14 | 0.57 | 0.71 | 0.86 |
time (sec) |
N/A | 0.020 | 0.052 | 1.029 | 0.184 | 0.244 | 0.040 | 0.260 | 1.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 30 | 21 | 29 | 33 | 0 | 24 | 35 |
N.S. |
1 | 1.00 | 1.58 | 1.11 | 1.53 | 1.74 | 0.00 | 1.26 | 1.84 |
time (sec) |
N/A | 0.028 | 0.017 | 1.635 | 0.183 | 0.241 | 0.000 | 0.274 | 0.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 36 | 35 | 51 | 77 | 0 | 44 | 51 |
N.S. |
1 | 1.00 | 1.57 | 1.52 | 2.22 | 3.35 | 0.00 | 1.91 | 2.22 |
time (sec) |
N/A | 0.042 | 0.034 | 2.717 | 0.182 | 0.250 | 0.000 | 0.269 | 1.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 49 | 53 | 75 | 126 | 0 | 51 | 70 |
N.S. |
1 | 1.00 | 1.32 | 1.43 | 2.03 | 3.41 | 0.00 | 1.38 | 1.89 |
time (sec) |
N/A | 0.053 | 0.152 | 3.497 | 0.185 | 0.245 | 0.000 | 0.260 | 1.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 53 | 71 | 103 | 174 | 0 | 58 | 85 |
N.S. |
1 | 1.00 | 1.13 | 1.51 | 2.19 | 3.70 | 0.00 | 1.23 | 1.81 |
time (sec) |
N/A | 0.051 | 0.201 | 4.335 | 0.182 | 0.257 | 0.000 | 0.276 | 1.486 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 147 | 52 | 71 | 89 | 70 | 50 | 97 |
N.S. |
1 | 1.00 | 2.53 | 0.90 | 1.22 | 1.53 | 1.21 | 0.86 | 1.67 |
time (sec) |
N/A | 0.070 | 0.146 | 3.043 | 0.187 | 0.246 | 0.102 | 0.259 | 1.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 45 | 38 | 59 | 74 | 54 | 38 | 79 |
N.S. |
1 | 1.00 | 1.02 | 0.86 | 1.34 | 1.68 | 1.23 | 0.86 | 1.80 |
time (sec) |
N/A | 0.097 | 0.104 | 2.362 | 0.187 | 0.250 | 0.088 | 0.263 | 1.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 55 | 26 | 40 | 50 | 41 | 22 | 71 |
N.S. |
1 | 1.00 | 1.72 | 0.81 | 1.25 | 1.56 | 1.28 | 0.69 | 2.22 |
time (sec) |
N/A | 0.044 | 0.112 | 1.661 | 0.179 | 0.242 | 0.069 | 0.262 | 1.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 22 | 23 | 81 | 32 | 37 | 20 | 25 |
N.S. |
1 | 1.00 | 0.71 | 0.74 | 2.61 | 1.03 | 1.19 | 0.65 | 0.81 |
time (sec) |
N/A | 0.021 | 0.009 | 1.400 | 0.184 | 0.229 | 0.062 | 0.260 | 1.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 68 | 36 | 55 | 78 | 0 | 34 | 41 |
N.S. |
1 | 1.00 | 2.00 | 1.06 | 1.62 | 2.29 | 0.00 | 1.00 | 1.21 |
time (sec) |
N/A | 0.057 | 0.717 | 2.332 | 0.181 | 0.251 | 0.000 | 0.267 | 0.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 88 | 58 | 79 | 130 | 0 | 46 | 85 |
N.S. |
1 | 1.00 | 2.10 | 1.38 | 1.88 | 3.10 | 0.00 | 1.10 | 2.02 |
time (sec) |
N/A | 0.080 | 1.267 | 3.171 | 0.186 | 0.255 | 0.000 | 0.295 | 1.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 140 | 72 | 105 | 174 | 0 | 59 | 79 |
N.S. |
1 | 1.00 | 2.41 | 1.24 | 1.81 | 3.00 | 0.00 | 1.02 | 1.36 |
time (sec) |
N/A | 0.092 | 1.158 | 4.161 | 0.192 | 0.266 | 0.000 | 0.258 | 1.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 143 | 88 | 127 | 226 | 0 | 84 | 189 |
N.S. |
1 | 1.00 | 2.23 | 1.38 | 1.98 | 3.53 | 0.00 | 1.31 | 2.95 |
time (sec) |
N/A | 0.095 | 2.331 | 5.817 | 0.188 | 0.276 | 0.000 | 0.278 | 1.950 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 42 | 18 | 20 | 16 | 15 | 15 | 17 |
N.S. |
1 | 1.00 | 1.56 | 0.67 | 0.74 | 0.59 | 0.56 | 0.56 | 0.63 |
time (sec) |
N/A | 0.009 | 0.188 | 0.862 | 0.180 | 0.254 | 0.059 | 0.266 | 0.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 61 | 28 | 94 | 50 | 61 | 25 | 29 |
N.S. |
1 | 1.00 | 1.03 | 0.47 | 1.59 | 0.85 | 1.03 | 0.42 | 0.49 |
time (sec) |
N/A | 0.020 | 0.278 | 0.945 | 0.187 | 0.246 | 0.099 | 0.255 | 1.318 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 81 | 40 | 211 | 85 | 109 | 36 | 40 |
N.S. |
1 | 1.00 | 0.92 | 0.45 | 2.40 | 0.97 | 1.24 | 0.41 | 0.45 |
time (sec) |
N/A | 0.032 | 0.295 | 0.984 | 0.195 | 0.240 | 0.152 | 0.265 | 1.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 87 | 51 | 372 | 120 | 155 | 47 | 53 |
N.S. |
1 | 1.00 | 0.74 | 0.44 | 3.18 | 1.03 | 1.32 | 0.40 | 0.45 |
time (sec) |
N/A | 0.042 | 0.184 | 1.061 | 0.193 | 0.238 | 0.214 | 0.271 | 1.891 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 42 | 18 | 20 | 16 | 17 | 15 | 17 |
N.S. |
1 | 1.00 | 1.56 | 0.67 | 0.74 | 0.59 | 0.63 | 0.56 | 0.63 |
time (sec) |
N/A | 0.009 | 0.190 | 0.968 | 0.192 | 0.262 | 0.059 | 0.261 | 0.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 59 | 28 | 94 | 50 | 61 | 25 | 29 |
N.S. |
1 | 1.00 | 1.00 | 0.47 | 1.59 | 0.85 | 1.03 | 0.42 | 0.49 |
time (sec) |
N/A | 0.020 | 0.184 | 0.963 | 0.210 | 0.237 | 0.101 | 0.276 | 1.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 81 | 40 | 211 | 85 | 109 | 36 | 40 |
N.S. |
1 | 1.00 | 0.92 | 0.45 | 2.40 | 0.97 | 1.24 | 0.41 | 0.45 |
time (sec) |
N/A | 0.031 | 0.338 | 0.956 | 0.224 | 0.237 | 0.156 | 0.260 | 1.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 87 | 51 | 372 | 120 | 155 | 47 | 52 |
N.S. |
1 | 1.00 | 0.74 | 0.44 | 3.18 | 1.03 | 1.32 | 0.40 | 0.44 |
time (sec) |
N/A | 0.043 | 0.189 | 1.137 | 0.226 | 0.231 | 0.216 | 0.275 | 1.678 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 75 | 108 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.32 | 1.89 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 0.252 | 4.206 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 76 | 108 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.33 | 1.89 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.040 | 0.278 | 4.369 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 145 | 0 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.39 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 6.041 | 0.000 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 113 | 0 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.023 | 5.357 | 0.000 | 0.000 | 0.251 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 74 | 89 | 0 | 27 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 2.39 | 2.87 | 0.00 | 0.87 | 0.00 | 0.00 | 1.71 |
time (sec) |
N/A | 0.011 | 0.033 | 2.191 | 0.000 | 0.243 | 0.000 | 0.000 | 1.528 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 84 | 160 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.62 | 3.08 | 0.00 | 1.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.017 | 0.169 | 6.702 | 0.000 | 0.243 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 156 | 0 | 0 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.79 | 0.00 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 0.283 | 0.000 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 210 | 0 | 0 | 348 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.72 | 0.00 | 0.00 | 2.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 0.259 | 0.000 | 0.000 | 0.296 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 105 | 201 | 158 | 799 | 0 | 156 | 199 |
N.S. |
1 | 1.00 | 0.97 | 1.86 | 1.46 | 7.40 | 0.00 | 1.44 | 1.84 |
time (sec) |
N/A | 0.225 | 1.643 | 0.670 | 0.270 | 0.295 | 0.000 | 0.280 | 1.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 82 | 152 | 118 | 459 | 0 | 117 | 159 |
N.S. |
1 | 1.00 | 1.00 | 1.85 | 1.44 | 5.60 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.132 | 0.926 | 0.579 | 0.274 | 0.304 | 0.000 | 0.271 | 1.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 61 | 92 | 84 | 238 | 1253 | 86 | 129 |
N.S. |
1 | 1.00 | 1.07 | 1.61 | 1.47 | 4.18 | 21.98 | 1.51 | 2.26 |
time (sec) |
N/A | 0.080 | 0.253 | 0.534 | 0.275 | 0.346 | 110.085 | 0.279 | 1.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 52 | 63 | 65 | 134 | 170 | 67 | 99 |
N.S. |
1 | 1.00 | 1.11 | 1.34 | 1.38 | 2.85 | 3.62 | 1.43 | 2.11 |
time (sec) |
N/A | 0.042 | 0.029 | 0.405 | 0.269 | 0.258 | 14.053 | 0.276 | 1.276 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 67 | 49 | 83 | 156 | 0 | 82 | 287 |
N.S. |
1 | 1.00 | 1.34 | 0.98 | 1.66 | 3.12 | 0.00 | 1.64 | 5.74 |
time (sec) |
N/A | 0.053 | 0.238 | 0.536 | 0.273 | 0.292 | 0.000 | 0.269 | 1.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 90 | 73 | 100 | 345 | 0 | 98 | 292 |
N.S. |
1 | 1.00 | 1.53 | 1.24 | 1.69 | 5.85 | 0.00 | 1.66 | 4.95 |
time (sec) |
N/A | 0.082 | 0.709 | 0.679 | 0.277 | 0.293 | 0.000 | 0.273 | 1.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 136 | 108 | 154 | 929 | 0 | 137 | 617 |
N.S. |
1 | 1.00 | 1.68 | 1.33 | 1.90 | 11.47 | 0.00 | 1.69 | 7.62 |
time (sec) |
N/A | 0.220 | 0.655 | 0.820 | 0.271 | 0.315 | 0.000 | 0.272 | 1.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 211 | 151 | 194 | 1676 | 0 | 171 | 694 |
N.S. |
1 | 1.00 | 1.94 | 1.39 | 1.78 | 15.38 | 0.00 | 1.57 | 6.37 |
time (sec) |
N/A | 0.336 | 0.999 | 0.879 | 0.277 | 0.326 | 0.000 | 0.286 | 1.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 118 | 218 | 256 | 1769 | 0 | 235 | 305 |
N.S. |
1 | 1.00 | 0.73 | 1.35 | 1.58 | 10.92 | 0.00 | 1.45 | 1.88 |
time (sec) |
N/A | 0.277 | 1.024 | 0.803 | 0.283 | 0.296 | 0.000 | 0.277 | 1.609 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 95 | 161 | 208 | 1053 | 0 | 184 | 274 |
N.S. |
1 | 1.00 | 0.83 | 1.40 | 1.81 | 9.16 | 0.00 | 1.60 | 2.38 |
time (sec) |
N/A | 0.157 | 0.429 | 0.684 | 0.276 | 0.280 | 0.000 | 0.282 | 1.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 86 | 127 | 149 | 521 | 0 | 131 | 228 |
N.S. |
1 | 1.00 | 1.04 | 1.53 | 1.80 | 6.28 | 0.00 | 1.58 | 2.75 |
time (sec) |
N/A | 0.091 | 0.202 | 0.530 | 0.277 | 0.286 | 0.000 | 0.280 | 1.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 68 | 97 | 117 | 341 | 0 | 99 | 142 |
N.S. |
1 | 1.00 | 1.13 | 1.62 | 1.95 | 5.68 | 0.00 | 1.65 | 2.37 |
time (sec) |
N/A | 0.053 | 0.144 | 0.454 | 0.275 | 0.261 | 0.000 | 0.281 | 1.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 100 | 115 | 162 | 672 | 0 | 142 | 1001 |
N.S. |
1 | 1.00 | 1.18 | 1.35 | 1.91 | 7.91 | 0.00 | 1.67 | 11.78 |
time (sec) |
N/A | 0.144 | 0.400 | 0.727 | 0.272 | 0.369 | 0.000 | 0.285 | 3.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 128 | 141 | 251 | 1740 | 0 | 205 | 1017 |
N.S. |
1 | 1.00 | 1.11 | 1.23 | 2.18 | 15.13 | 0.00 | 1.78 | 8.84 |
time (sec) |
N/A | 0.255 | 0.803 | 0.803 | 0.288 | 0.397 | 0.000 | 0.285 | 4.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 174 | 175 | 363 | 3754 | 0 | 203 | 977 |
N.S. |
1 | 1.00 | 1.10 | 1.11 | 2.30 | 23.76 | 0.00 | 1.28 | 6.18 |
time (sec) |
N/A | 0.462 | 0.959 | 0.969 | 0.290 | 0.514 | 0.000 | 0.270 | 4.444 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 232 | 219 | 477 | 6430 | 0 | 236 | 975 |
N.S. |
1 | 1.00 | 1.17 | 1.11 | 2.41 | 32.47 | 0.00 | 1.19 | 4.92 |
time (sec) |
N/A | 0.598 | 1.111 | 1.023 | 0.284 | 0.538 | 0.000 | 0.300 | 4.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 81 | 36 | 19 | 28 | 31 | 32 | 39 |
N.S. |
1 | 1.00 | 1.11 | 0.49 | 0.26 | 0.38 | 0.42 | 0.44 | 0.53 |
time (sec) |
N/A | 0.019 | 0.128 | 2.055 | 0.271 | 0.279 | 0.171 | 0.270 | 0.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 142 | 74 | 79 | 103 | 75 | 67 | 106 |
N.S. |
1 | 1.00 | 1.39 | 0.73 | 0.77 | 1.01 | 0.74 | 0.66 | 1.04 |
time (sec) |
N/A | 0.033 | 0.385 | 1.168 | 0.269 | 0.292 | 0.211 | 0.271 | 1.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 204 | 100 | 124 | 193 | 138 | 89 | 147 |
N.S. |
1 | 1.00 | 1.56 | 0.76 | 0.95 | 1.47 | 1.05 | 0.68 | 1.12 |
time (sec) |
N/A | 0.057 | 0.566 | 1.778 | 0.277 | 0.316 | 0.263 | 0.275 | 1.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 265 | 123 | 167 | 283 | 197 | 111 | 237 |
N.S. |
1 | 1.00 | 1.66 | 0.77 | 1.04 | 1.77 | 1.23 | 0.69 | 1.48 |
time (sec) |
N/A | 0.086 | 0.574 | 2.047 | 0.274 | 0.291 | 0.326 | 0.276 | 2.076 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 171 | 32 | 36 | 26 | 31 | 28 | 32 |
N.S. |
1 | 1.00 | 4.62 | 0.86 | 0.97 | 0.70 | 0.84 | 0.76 | 0.86 |
time (sec) |
N/A | 0.010 | 0.127 | 1.754 | 0.264 | 0.295 | 0.118 | 0.268 | 1.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 183 | 73 | 64 | 103 | 82 | 65 | 102 |
N.S. |
1 | 1.00 | 2.77 | 1.11 | 0.97 | 1.56 | 1.24 | 0.98 | 1.55 |
time (sec) |
N/A | 0.025 | 0.374 | 1.071 | 0.273 | 0.296 | 0.155 | 0.267 | 1.780 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 277 | 96 | 108 | 193 | 141 | 87 | 143 |
N.S. |
1 | 1.00 | 2.92 | 1.01 | 1.14 | 2.03 | 1.48 | 0.92 | 1.51 |
time (sec) |
N/A | 0.048 | 0.750 | 1.342 | 0.273 | 0.291 | 0.205 | 0.272 | 2.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 308 | 119 | 152 | 283 | 202 | 109 | 232 |
N.S. |
1 | 1.00 | 2.48 | 0.96 | 1.23 | 2.28 | 1.63 | 0.88 | 1.87 |
time (sec) |
N/A | 0.068 | 1.522 | 1.323 | 0.276 | 0.311 | 0.258 | 0.274 | 2.839 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 138 | 155 | 272 | 223 | 314 | 269 | 160 |
N.S. |
1 | 1.00 | 0.75 | 0.85 | 1.49 | 1.22 | 1.72 | 1.47 | 0.87 |
time (sec) |
N/A | 0.179 | 0.938 | 4.184 | 0.199 | 0.273 | 0.272 | 0.283 | 0.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 108 | 119 | 182 | 146 | 240 | 200 | 114 |
N.S. |
1 | 1.00 | 0.79 | 0.87 | 1.33 | 1.07 | 1.75 | 1.46 | 0.83 |
time (sec) |
N/A | 0.106 | 0.480 | 2.837 | 0.195 | 0.291 | 0.188 | 0.274 | 0.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 71 | 77 | 115 | 91 | 128 | 135 | 75 |
N.S. |
1 | 1.00 | 0.77 | 0.84 | 1.25 | 0.99 | 1.39 | 1.47 | 0.82 |
time (sec) |
N/A | 0.050 | 0.252 | 2.133 | 0.203 | 0.279 | 0.135 | 0.293 | 1.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 48 | 48 | 55 | 46 | 78 | 76 | 41 |
N.S. |
1 | 1.00 | 0.92 | 0.92 | 1.06 | 0.88 | 1.50 | 1.46 | 0.79 |
time (sec) |
N/A | 0.012 | 0.143 | 0.787 | 0.197 | 0.283 | 0.099 | 0.270 | 1.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 26 | 16 | 15 | 17 | 17 | 31 | 15 |
N.S. |
1 | 1.00 | 1.73 | 1.07 | 1.00 | 1.13 | 1.13 | 2.07 | 1.00 |
time (sec) |
N/A | 0.007 | 0.037 | 0.589 | 0.187 | 0.276 | 0.066 | 0.270 | 1.150 |