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 | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 12 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.86 | 0.71 | 0.64 | 0.71 |
time (sec) |
N/A | 0.207 | 0.002 | 0.046 | 0.029 | 0.070 | 0.082 | 0.133 | 0.160 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 12 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.86 | 0.71 | 0.64 | 0.71 |
time (sec) |
N/A | 0.204 | 0.001 | 0.040 | 0.032 | 0.083 | 0.078 | 0.107 | 0.149 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 12 | 9 | 10 | 8 | 10 | 8 | 7 | 10 |
N.S. |
1 | 1.00 | 0.86 | 0.64 | 0.71 | 0.57 | 0.71 | 0.57 | 0.50 | 0.71 |
time (sec) |
N/A | 0.198 | 0.001 | 0.037 | 0.025 | 0.083 | 0.017 | 0.135 | 0.144 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 11 | 8 | 7 | 7 | 7 | 7 | 6 | 7 |
N.S. |
1 | 1.00 | 1.22 | 0.89 | 0.78 | 0.78 | 0.78 | 0.78 | 0.67 | 0.78 |
time (sec) |
N/A | 0.196 | 0.002 | 0.039 | 0.025 | 0.115 | 0.073 | 0.126 | 0.157 | 0.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 9 | 10 | 10 | 10 | 8 | 8 | 8 |
N.S. |
1 | 1.00 | 1.20 | 0.90 | 1.00 | 1.00 | 1.00 | 0.80 | 0.80 | 0.80 |
time (sec) |
N/A | 0.195 | 0.002 | 0.039 | 0.029 | 0.094 | 0.075 | 0.132 | 0.158 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 14 | 11 | 11 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 1.00 | 0.79 | 0.79 | 0.71 |
time (sec) |
N/A | 0.203 | 0.001 | 0.049 | 0.027 | 0.086 | 0.159 | 0.109 | 0.143 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 14 | 11 | 11 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 1.00 | 0.79 | 0.79 | 0.71 |
time (sec) |
N/A | 0.206 | 0.001 | 0.044 | 0.024 | 0.091 | 0.169 | 0.148 | 0.155 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 12 | 11 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 0.86 | 0.79 | 0.71 | 0.71 |
time (sec) |
N/A | 0.208 | 0.002 | 0.048 | 0.028 | 0.086 | 0.139 | 0.111 | 0.154 | 0.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 12 | 9 | 10 | 11 | 10 | 11 | 10 | 10 |
N.S. |
1 | 1.00 | 0.86 | 0.64 | 0.71 | 0.79 | 0.71 | 0.79 | 0.71 | 0.71 |
time (sec) |
N/A | 0.198 | 0.001 | 0.040 | 0.031 | 0.101 | 0.023 | 0.127 | 0.146 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 13 | 8 | 7 | 9 | 8 | 9 | 8 | 7 |
N.S. |
1 | 1.00 | 1.18 | 0.73 | 0.64 | 0.82 | 0.73 | 0.82 | 0.73 | 0.64 |
time (sec) |
N/A | 0.197 | 0.001 | 0.040 | 0.028 | 0.119 | 0.111 | 0.144 | 0.158 | 0.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 10 | 10 | 12 | 9 | 10 | 8 | 8 | 8 | 7 | 8 |
N.S. |
1 | 1.00 | 1.20 | 0.90 | 1.00 | 0.80 | 0.80 | 0.80 | 0.70 | 0.80 |
time (sec) |
N/A | 0.200 | 0.002 | 0.040 | 0.026 | 0.100 | 0.109 | 0.125 | 0.151 | 0.011 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 11 | 12 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.92 | 1.00 | 0.83 | 0.75 | 0.83 |
time (sec) |
N/A | 0.201 | 0.002 | 0.037 | 0.028 | 0.104 | 0.195 | 0.113 | 0.152 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 14 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 1.00 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.204 | 0.001 | 0.044 | 0.029 | 0.089 | 0.192 | 0.136 | 0.161 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 14 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 1.00 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.205 | 0.002 | 0.046 | 0.027 | 0.134 | 0.211 | 0.130 | 0.148 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 14 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 1.00 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.210 | 0.002 | 0.047 | 0.030 | 0.113 | 0.239 | 0.127 | 0.140 | 0.019 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.204 | 0.002 | 0.043 | 0.028 | 0.111 | 0.210 | 0.113 | 0.156 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.210 | 0.002 | 0.042 | 0.023 | 0.108 | 0.186 | 0.126 | 0.150 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 12 | 11 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 0.86 | 0.79 | 0.71 | 0.71 |
time (sec) |
N/A | 0.210 | 0.002 | 0.041 | 0.026 | 0.150 | 0.186 | 0.132 | 0.144 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 10 | 9 | 10 | 10 | 8 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 0.83 | 0.75 | 0.83 | 0.83 | 0.67 | 0.83 | 0.75 | 0.83 |
time (sec) |
N/A | 0.208 | 0.000 | 0.037 | 0.023 | 0.104 | 0.017 | 0.149 | 0.165 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 11 | 8 | 7 | 13 | 8 | 7 | 11 | 7 |
N.S. |
1 | 1.00 | 1.22 | 0.89 | 0.78 | 1.44 | 0.89 | 0.78 | 1.22 | 0.78 |
time (sec) |
N/A | 0.199 | 0.002 | 0.042 | 0.040 | 0.103 | 0.209 | 0.121 | 0.151 | 0.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 9 | 10 | 13 | 12 | 10 | 14 | 8 |
N.S. |
1 | 1.00 | 1.17 | 0.75 | 0.83 | 1.08 | 1.00 | 0.83 | 1.17 | 0.67 |
time (sec) |
N/A | 0.206 | 0.003 | 0.045 | 0.024 | 0.124 | 0.206 | 0.114 | 0.142 | 0.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 14 | 10 | 14 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 1.00 | 0.71 | 1.00 | 0.71 |
time (sec) |
N/A | 0.209 | 0.002 | 0.042 | 0.029 | 0.103 | 0.219 | 0.131 | 0.159 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.209 | 0.003 | 0.048 | 0.028 | 0.101 | 0.240 | 0.111 | 0.145 | 0.021 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.215 | 0.003 | 0.045 | 0.029 | 0.127 | 0.248 | 0.112 | 0.146 | 0.019 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.212 | 0.002 | 0.046 | 0.035 | 0.137 | 0.220 | 0.134 | 0.164 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.210 | 0.002 | 0.045 | 0.030 | 0.109 | 0.207 | 0.129 | 0.160 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 12 | 11 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 0.86 | 0.79 | 0.71 | 0.71 |
time (sec) |
N/A | 0.209 | 0.002 | 0.043 | 0.034 | 0.106 | 0.211 | 0.129 | 0.145 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 10 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.83 | 0.83 | 0.75 | 0.83 |
time (sec) |
N/A | 0.210 | 0.002 | 0.038 | 0.027 | 0.084 | 0.198 | 0.106 | 0.159 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 10 | 9 | 10 | 13 | 10 | 10 | 11 | 10 |
N.S. |
1 | 1.00 | 0.83 | 0.75 | 0.83 | 1.08 | 0.83 | 0.83 | 0.92 | 0.83 |
time (sec) |
N/A | 0.207 | 0.000 | 0.036 | 0.031 | 0.083 | 0.018 | 0.130 | 0.146 | 0.018 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 13 | 8 | 7 | 13 | 10 | 13 | 14 | 7 |
N.S. |
1 | 1.00 | 1.18 | 0.73 | 0.64 | 1.18 | 0.91 | 1.18 | 1.27 | 0.64 |
time (sec) |
N/A | 0.204 | 0.003 | 0.044 | 0.030 | 0.085 | 0.226 | 0.112 | 0.144 | 0.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 9 | 10 | 13 | 12 | 13 | 14 | 8 |
N.S. |
1 | 1.00 | 1.17 | 0.75 | 0.83 | 1.08 | 1.00 | 1.08 | 1.17 | 0.67 |
time (sec) |
N/A | 0.207 | 0.003 | 0.042 | 0.028 | 0.084 | 0.227 | 0.123 | 0.160 | 0.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.214 | 0.002 | 0.049 | 0.027 | 0.078 | 0.284 | 0.128 | 0.142 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.224 | 0.002 | 0.049 | 0.029 | 0.100 | 0.288 | 0.115 | 0.153 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.219 | 0.002 | 0.047 | 0.025 | 0.077 | 0.242 | 0.136 | 0.158 | 0.015 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 13 | 12 | 13 | 12 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.93 | 0.86 | 0.93 | 0.86 | 0.71 |
time (sec) |
N/A | 0.219 | 0.001 | 0.044 | 0.031 | 0.090 | 0.261 | 0.135 | 0.146 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 11 | 12 | 11 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.79 | 0.86 | 0.79 | 0.71 | 0.71 |
time (sec) |
N/A | 0.210 | 0.001 | 0.042 | 0.031 | 0.080 | 0.270 | 0.119 | 0.146 | 0.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 10 | 10 | 10 | 9 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.83 | 0.83 | 0.83 | 0.83 | 0.75 | 0.83 |
time (sec) |
N/A | 0.214 | 0.001 | 0.042 | 0.025 | 0.069 | 0.244 | 0.116 | 0.161 | 0.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 12 | 11 | 10 | 13 | 12 | 10 | 11 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.83 | 1.08 | 1.00 | 0.83 | 0.92 | 0.83 |
time (sec) |
N/A | 0.214 | 0.002 | 0.040 | 0.029 | 0.074 | 0.261 | 0.147 | 0.144 | 0.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 12 | 9 | 10 | 13 | 12 | 13 | 14 | 10 |
N.S. |
1 | 1.00 | 0.86 | 0.64 | 0.71 | 0.93 | 0.86 | 0.93 | 1.00 | 0.71 |
time (sec) |
N/A | 0.212 | 0.000 | 0.038 | 0.024 | 0.070 | 0.026 | 0.127 | 0.152 | 0.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 13 | 8 | 7 | 13 | 10 | 13 | 14 | 7 |
N.S. |
1 | 1.00 | 1.18 | 0.73 | 0.64 | 1.18 | 0.91 | 1.18 | 1.27 | 0.64 |
time (sec) |
N/A | 0.209 | 0.003 | 0.041 | 0.023 | 0.082 | 0.282 | 0.138 | 0.168 | 0.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 17 | 21 | 21 | 39 | 21 | 16 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.24 | 1.24 | 2.29 | 1.24 | 0.94 | 1.00 |
time (sec) |
N/A | 0.229 | 0.004 | 0.068 | 0.033 | 0.089 | 0.797 | 0.146 | 0.147 | 23.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 18 | 19 | 24 | 29 | 61 | 26 | 19 | 18 |
N.S. |
1 | 1.00 | 0.82 | 0.86 | 1.09 | 1.32 | 2.77 | 1.18 | 0.86 | 0.82 |
time (sec) |
N/A | 0.234 | 0.004 | 0.091 | 0.039 | 0.101 | 0.884 | 0.120 | 0.148 | 22.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 14 | 15 | 15 | 14 | 19 | 14 | 15 | 14 |
N.S. |
1 | 1.00 | 0.88 | 0.94 | 0.94 | 0.88 | 1.19 | 0.88 | 0.94 | 0.88 |
time (sec) |
N/A | 0.231 | 0.002 | 0.037 | 0.030 | 0.069 | 0.122 | 0.129 | 0.158 | 22.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 14 | 15 | 15 | 14 | 19 | 14 | 15 | 89 |
N.S. |
1 | 1.00 | 0.88 | 0.94 | 0.94 | 0.88 | 1.19 | 0.88 | 0.94 | 5.56 |
time (sec) |
N/A | 0.222 | 0.002 | 0.030 | 0.027 | 0.108 | 0.105 | 0.121 | 0.142 | 22.019 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 14 | 15 | 15 | 14 | 19 | 14 | 15 | 27 |
N.S. |
1 | 1.00 | 0.88 | 0.94 | 0.94 | 0.88 | 1.19 | 0.88 | 0.94 | 1.69 |
time (sec) |
N/A | 0.222 | 0.002 | 0.028 | 0.026 | 0.076 | 0.088 | 0.132 | 0.154 | 22.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 12 | 13 | 16 | 12 | 17 | 16 | 13 | 12 |
N.S. |
1 | 1.00 | 0.75 | 0.81 | 1.00 | 0.75 | 1.06 | 1.00 | 0.81 | 0.75 |
time (sec) |
N/A | 0.221 | 0.002 | 0.025 | 0.023 | 0.070 | 0.017 | 0.116 | 0.161 | 22.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 10 | 10 | 9 | 8 | 9 | 10 | 9 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.11 | 1.00 | 0.89 | 1.00 | 1.11 | 1.00 |
time (sec) |
N/A | 0.211 | 0.001 | 0.029 | 0.027 | 0.200 | 0.078 | 0.136 | 0.151 | 23.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 14 | 15 | 15 | 14 | 20 | 0 | 15 | 14 |
N.S. |
1 | 1.00 | 0.74 | 0.79 | 0.79 | 0.74 | 1.05 | 0.00 | 0.79 | 0.74 |
time (sec) |
N/A | 0.231 | 0.003 | 0.033 | 0.031 | 0.082 | 0.169 | 0.000 | 0.149 | 22.777 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 14 | 15 | 15 | 14 | 20 | 0 | 15 | 14 |
N.S. |
1 | 1.00 | 0.74 | 0.79 | 0.79 | 0.74 | 1.05 | 0.00 | 0.79 | 0.74 |
time (sec) |
N/A | 0.220 | 0.003 | 0.038 | 0.035 | 0.071 | 0.207 | 0.000 | 0.157 | 22.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 12 | 12 | 10 | 7 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.75 | 0.75 | 0.62 | 0.44 | 0.62 |
time (sec) |
N/A | 0.224 | 0.002 | 0.052 | 0.028 | 0.100 | 0.110 | 0.111 | 0.142 | 21.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 12 | 12 | 10 | 7 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.75 | 0.75 | 0.62 | 0.44 | 0.62 |
time (sec) |
N/A | 0.216 | 0.001 | 0.057 | 0.027 | 0.065 | 0.073 | 0.113 | 0.144 | 22.013 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 9 | 9 | 9 | 8 | 0 | 7 | 7 | 7 | 4 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.00 | 0.78 | 0.78 | 0.78 | 0.44 | 0.67 |
time (sec) |
N/A | 0.216 | 0.003 | 0.056 | 0.000 | 0.068 | 0.093 | 0.135 | 0.156 | 22.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 14 | 13 | 0 | 12 | 12 | 10 | 7 | 10 |
N.S. |
1 | 1.00 | 1.17 | 1.08 | 0.00 | 1.00 | 1.00 | 0.83 | 0.58 | 0.83 |
time (sec) |
N/A | 0.217 | 0.002 | 0.043 | 0.000 | 0.078 | 0.175 | 0.109 | 0.140 | 21.923 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 0 | 12 | 14 | 10 | 7 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.00 | 0.75 | 0.88 | 0.62 | 0.44 | 0.62 |
time (sec) |
N/A | 0.218 | 0.001 | 0.046 | 0.000 | 0.094 | 0.201 | 0.144 | 0.156 | 22.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 12 | 12 | 10 | 7 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.75 | 0.75 | 0.62 | 0.44 | 0.00 |
time (sec) |
N/A | 0.205 | 0.001 | 0.047 | 0.024 | 0.080 | 0.120 | 0.130 | 0.160 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 13 | 12 | 12 | 10 | 7 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.81 | 0.75 | 0.75 | 0.62 | 0.44 | 0.00 |
time (sec) |
N/A | 0.200 | 0.001 | 0.052 | 0.026 | 0.082 | 0.086 | 0.131 | 0.142 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 11 | 10 | 10 | 10 | 10 | 7 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.71 | 0.71 | 0.71 | 0.71 | 0.50 | 0.57 |
time (sec) |
N/A | 0.197 | 0.001 | 0.040 | 0.035 | 0.104 | 0.065 | 0.127 | 0.145 | 22.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 14 | 0 | 13 | 12 | 9 | 5 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.00 | 0.93 | 0.86 | 0.64 | 0.36 | 0.00 |
time (sec) |
N/A | 0.206 | 0.002 | 0.041 | 0.000 | 0.172 | 0.287 | 0.138 | 0.159 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 16 | 13 | 0 | 12 | 14 | 10 | 7 | 13 |
N.S. |
1 | 1.00 | 0.94 | 0.76 | 0.00 | 0.71 | 0.82 | 0.59 | 0.41 | 0.76 |
time (sec) |
N/A | 0.211 | 0.001 | 0.043 | 0.000 | 0.091 | 0.188 | 0.124 | 0.145 | 22.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 13 | 12 | 10 | 8 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.81 | 0.75 | 0.62 | 0.50 | 0.62 |
time (sec) |
N/A | 0.222 | 0.002 | 0.054 | 0.030 | 0.064 | 0.179 | 0.136 | 0.152 | 21.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 13 | 12 | 10 | 8 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.81 | 0.75 | 0.62 | 0.50 | 0.62 |
time (sec) |
N/A | 0.215 | 0.001 | 0.062 | 0.032 | 0.075 | 0.143 | 0.124 | 0.168 | 22.406 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 17 | 10 | 9 | 13 | 8 | 10 | 8 | 10 |
N.S. |
1 | 1.00 | 1.31 | 0.77 | 0.69 | 1.00 | 0.62 | 0.77 | 0.62 | 0.77 |
time (sec) |
N/A | 0.219 | 0.001 | 0.052 | 0.030 | 0.077 | 0.116 | 0.121 | 0.144 | 22.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 10 | 0 | 9 | 10 | 7 | 5 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.00 | 0.82 | 0.91 | 0.64 | 0.45 | 0.55 |
time (sec) |
N/A | 0.223 | 0.016 | 0.046 | 0.000 | 0.086 | 0.218 | 0.123 | 0.150 | 22.581 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 0 | 13 | 12 | 10 | 8 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.00 | 0.93 | 0.86 | 0.71 | 0.57 | 0.71 |
time (sec) |
N/A | 0.223 | 0.002 | 0.043 | 0.000 | 0.081 | 0.218 | 0.128 | 0.159 | 21.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 0 | 13 | 14 | 10 | 8 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.00 | 0.81 | 0.88 | 0.62 | 0.50 | 0.62 |
time (sec) |
N/A | 0.220 | 0.002 | 0.045 | 0.000 | 0.066 | 0.253 | 0.108 | 0.141 | 22.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 16 | 16 | 13 | 15 | 13 | 12 | 10 | 8 | 0 |
N.S. |
1 | 0.94 | 0.94 | 0.76 | 0.88 | 0.76 | 0.71 | 0.59 | 0.47 | 0.00 |
time (sec) |
N/A | 0.214 | 0.002 | 0.050 | 0.025 | 0.066 | 0.223 | 0.137 | 0.148 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 16 | 16 | 13 | 13 | 13 | 12 | 10 | 8 | 0 |
N.S. |
1 | 0.94 | 0.94 | 0.76 | 0.76 | 0.76 | 0.71 | 0.59 | 0.47 | 0.00 |
time (sec) |
N/A | 0.217 | 0.002 | 0.046 | 0.024 | 0.066 | 0.161 | 0.140 | 0.159 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 14 | 14 | 11 | 10 | 13 | 10 | 10 | 8 | 0 |
N.S. |
1 | 0.82 | 0.82 | 0.65 | 0.59 | 0.76 | 0.59 | 0.59 | 0.47 | 0.00 |
time (sec) |
N/A | 0.223 | 0.001 | 0.044 | 0.029 | 0.079 | 0.141 | 0.123 | 0.151 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 12 | 0 | 11 | 10 | 10 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 0.00 | 0.73 | 0.67 | 0.67 | 0.53 | 0.53 |
time (sec) |
N/A | 0.217 | 0.001 | 0.041 | 0.000 | 0.083 | 0.114 | 0.130 | 0.152 | 22.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 15 | 14 | 0 | 14 | 14 | 9 | 6 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.88 | 0.00 | 0.88 | 0.88 | 0.56 | 0.38 | 0.00 |
time (sec) |
N/A | 0.223 | 0.002 | 0.040 | 0.000 | 0.070 | 0.331 | 0.159 | 0.158 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 17 | 16 | 13 | 0 | 13 | 14 | 10 | 8 | 13 |
N.S. |
1 | 0.89 | 0.84 | 0.68 | 0.00 | 0.68 | 0.74 | 0.53 | 0.42 | 0.68 |
time (sec) |
N/A | 0.219 | 0.001 | 0.043 | 0.000 | 0.072 | 0.241 | 0.116 | 0.143 | 22.877 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 17 | 16 | 13 | 0 | 13 | 14 | 10 | 8 | 13 |
N.S. |
1 | 0.89 | 0.84 | 0.68 | 0.00 | 0.68 | 0.74 | 0.53 | 0.42 | 0.68 |
time (sec) |
N/A | 0.220 | 0.002 | 0.049 | 0.000 | 0.077 | 0.301 | 0.130 | 0.152 | 22.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.94 | 0.75 | 0.75 | 0.62 | 0.62 |
time (sec) |
N/A | 0.219 | 0.002 | 0.047 | 0.025 | 0.071 | 0.247 | 0.129 | 0.157 | 22.640 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.94 | 0.75 | 0.75 | 0.62 | 0.62 |
time (sec) |
N/A | 0.217 | 0.002 | 0.048 | 0.026 | 0.064 | 0.236 | 0.137 | 0.146 | 22.292 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 11 | 11 | 10 | 9 | 7 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.77 | 0.69 | 0.54 | 0.46 |
time (sec) |
N/A | 0.219 | 0.001 | 0.056 | 0.028 | 0.096 | 0.195 | 0.111 | 0.159 | 23.221 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 15 | 10 | 8 | 15 | 10 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.36 | 0.91 | 0.73 | 1.36 | 0.91 | 1.09 | 0.91 | 0.91 |
time (sec) |
N/A | 0.216 | 0.002 | 0.046 | 0.029 | 0.070 | 0.240 | 0.126 | 0.156 | 22.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 13 | 8 | 15 | 15 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 0.57 | 1.07 | 1.07 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.221 | 0.003 | 0.046 | 0.024 | 0.084 | 0.218 | 0.134 | 0.140 | 22.594 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 17 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 0 |
N.S. |
1 | 0.89 | 0.84 | 0.68 | 0.79 | 0.79 | 0.63 | 0.63 | 0.53 | 0.00 |
time (sec) |
N/A | 0.213 | 0.002 | 0.046 | 0.024 | 0.071 | 0.221 | 0.137 | 0.152 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 16 | 13 | 8 | 13 | 12 | 12 | 10 | 11 |
N.S. |
1 | 1.00 | 0.94 | 0.76 | 0.47 | 0.76 | 0.71 | 0.71 | 0.59 | 0.65 |
time (sec) |
N/A | 0.211 | 0.002 | 0.043 | 0.030 | 0.085 | 0.196 | 0.119 | 0.157 | 22.841 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 6 | 16 | 12 | 19 | 8 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.46 | 1.23 | 0.92 | 1.46 | 0.62 | 0.77 |
time (sec) |
N/A | 0.213 | 0.000 | 0.036 | 0.032 | 0.070 | 0.251 | 0.115 | 0.141 | 23.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 15 | 13 | 8 | 15 | 14 | 12 | 10 | 13 |
N.S. |
1 | 1.00 | 0.94 | 0.81 | 0.50 | 0.94 | 0.88 | 0.75 | 0.62 | 0.81 |
time (sec) |
N/A | 0.218 | 0.002 | 0.048 | 0.026 | 0.072 | 0.232 | 0.129 | 0.154 | 23.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 8 | 15 | 15 | 12 | 10 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.50 | 0.94 | 0.94 | 0.75 | 0.62 | 0.81 |
time (sec) |
N/A | 0.213 | 0.002 | 0.045 | 0.030 | 0.075 | 0.245 | 0.137 | 0.164 | 22.465 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.94 | 0.75 | 0.75 | 0.62 | 0.62 |
time (sec) |
N/A | 0.223 | 0.001 | 0.051 | 0.024 | 0.076 | 0.252 | 0.121 | 0.143 | 22.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 14 | 11 | 10 | 9 | 7 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.08 | 0.85 | 0.77 | 0.69 | 0.54 | 0.46 |
time (sec) |
N/A | 0.222 | 0.017 | 0.044 | 0.029 | 0.102 | 0.259 | 0.125 | 0.164 | 22.524 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 12 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.86 | 1.07 | 0.86 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.219 | 0.001 | 0.061 | 0.024 | 0.095 | 0.215 | 0.147 | 0.155 | 22.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 17 | 10 | 8 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.31 | 0.77 | 0.62 | 1.15 | 0.92 | 0.92 | 0.77 | 0.77 |
time (sec) |
N/A | 0.218 | 0.004 | 0.056 | 0.024 | 0.067 | 0.299 | 0.134 | 0.148 | 22.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 16 | 13 | 8 | 15 | 15 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 0.57 | 1.07 | 1.07 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.223 | 0.003 | 0.053 | 0.034 | 0.063 | 0.265 | 0.114 | 0.161 | 23.363 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 17 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 0 |
N.S. |
1 | 0.89 | 0.84 | 0.68 | 0.79 | 0.79 | 0.63 | 0.63 | 0.53 | 0.00 |
time (sec) |
N/A | 0.215 | 0.002 | 0.049 | 0.024 | 0.088 | 0.312 | 0.123 | 0.158 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 16 | 13 | 15 | 13 | 12 | 12 | 10 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.76 | 0.88 | 0.76 | 0.71 | 0.71 | 0.59 | 0.00 |
time (sec) |
N/A | 0.216 | 0.001 | 0.046 | 0.030 | 0.066 | 0.220 | 0.128 | 0.143 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 15 | 14 | 6 | 16 | 14 | 11 | 8 | 37 |
N.S. |
1 | 1.00 | 0.94 | 0.88 | 0.38 | 1.00 | 0.88 | 0.69 | 0.50 | 2.31 |
time (sec) |
N/A | 0.215 | 0.002 | 0.040 | 0.029 | 0.061 | 0.281 | 0.115 | 0.163 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 14 | 14 | 11 | 8 | 15 | 12 | 12 | 10 | 13 |
N.S. |
1 | 0.74 | 0.74 | 0.58 | 0.42 | 0.79 | 0.63 | 0.63 | 0.53 | 0.68 |
time (sec) |
N/A | 0.206 | 0.000 | 0.043 | 0.024 | 0.088 | 0.202 | 0.124 | 0.151 | 23.024 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 16 | 15 | 13 | 8 | 15 | 14 | 12 | 10 | 13 |
N.S. |
1 | 0.84 | 0.79 | 0.68 | 0.42 | 0.79 | 0.74 | 0.63 | 0.53 | 0.68 |
time (sec) |
N/A | 0.214 | 0.002 | 0.044 | 0.029 | 0.083 | 0.281 | 0.132 | 0.142 | 22.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 15 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.94 | 0.94 | 0.75 | 0.75 | 0.62 | 0.62 |
time (sec) |
N/A | 0.219 | 0.001 | 0.052 | 0.030 | 0.069 | 0.314 | 0.117 | 0.158 | 22.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 14 | 11 | 10 | 9 | 7 | 6 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.08 | 0.85 | 0.77 | 0.69 | 0.54 | 0.46 |
time (sec) |
N/A | 0.223 | 0.019 | 0.045 | 0.031 | 0.069 | 0.304 | 0.122 | 0.152 | 22.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 15 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.07 | 1.07 | 0.86 | 0.86 | 0.71 | 0.71 |
time (sec) |
N/A | 0.223 | 0.002 | 0.043 | 0.024 | 0.066 | 0.266 | 0.137 | 0.148 | 22.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 13 | 12 | 15 | 14 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.00 | 0.81 | 0.75 | 0.94 | 0.88 | 0.75 | 0.62 | 0.62 |
time (sec) |
N/A | 0.218 | 0.001 | 0.060 | 0.028 | 0.069 | 0.311 | 0.130 | 0.159 | 23.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 17 | 10 | 8 | 15 | 12 | 12 | 10 | 10 |
N.S. |
1 | 1.00 | 1.31 | 0.77 | 0.62 | 1.15 | 0.92 | 0.92 | 0.77 | 0.77 |
time (sec) |
N/A | 0.216 | 0.004 | 0.056 | 0.029 | 0.070 | 0.290 | 0.147 | 0.149 | 23.682 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 16 | 13 | 15 | 13 | 12 | 12 | 10 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.76 | 0.88 | 0.76 | 0.71 | 0.71 | 0.59 | 0.00 |
time (sec) |
N/A | 0.232 | 0.002 | 0.046 | 0.032 | 0.068 | 0.272 | 0.135 | 0.144 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 15 | 14 | 6 | 16 | 14 | 11 | 8 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.88 | 0.38 | 1.00 | 0.88 | 0.69 | 0.50 | 0.00 |
time (sec) |
N/A | 0.224 | 0.002 | 0.040 | 0.026 | 0.097 | 0.350 | 0.120 | 0.158 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Reduce | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 17 | 16 | 13 | 8 | 15 | 14 | 12 | 10 | 13 |
N.S. |
1 | 0.89 | 0.84 | 0.68 | 0.42 | 0.79 | 0.74 | 0.63 | 0.53 | 0.68 |
time (sec) |
N/A | 0.215 | 0.002 | 0.042 | 0.033 | 0.160 | 0.263 | 0.143 | 0.149 | 21.991 |