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 | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 85 | 89 | 114 | 178 | 116 | 108 | 111 |
N.S. |
1 | 1.00 | 0.84 | 0.88 | 1.13 | 1.76 | 1.15 | 1.07 | 1.10 |
time (sec) |
N/A | 0.067 | 0.042 | 0.113 | 0.192 | 0.252 | 0.313 | 0.264 | 13.346 |
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 | 117 | 117 | 99 | 85 | 116 | 322 | 172 | 96 | 109 |
N.S. |
1 | 1.00 | 0.85 | 0.73 | 0.99 | 2.75 | 1.47 | 0.82 | 0.93 |
time (sec) |
N/A | 0.049 | 0.043 | 0.090 | 0.272 | 0.255 | 0.305 | 0.269 | 0.058 |
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 | 104 | 104 | 89 | 74 | 104 | 296 | 156 | 84 | 99 |
N.S. |
1 | 1.00 | 0.86 | 0.71 | 1.00 | 2.85 | 1.50 | 0.81 | 0.95 |
time (sec) |
N/A | 0.041 | 0.034 | 0.077 | 0.277 | 0.261 | 0.289 | 0.262 | 13.206 |
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 | 93 | 93 | 77 | 62 | 90 | 268 | 131 | 65 | 86 |
N.S. |
1 | 1.00 | 0.83 | 0.67 | 0.97 | 2.88 | 1.41 | 0.70 | 0.92 |
time (sec) |
N/A | 0.032 | 0.037 | 0.071 | 0.279 | 0.277 | 0.275 | 0.274 | 0.099 |
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 | 83 | 83 | 66 | 58 | 81 | 254 | 134 | 56 | 78 |
N.S. |
1 | 1.00 | 0.80 | 0.70 | 0.98 | 3.06 | 1.61 | 0.67 | 0.94 |
time (sec) |
N/A | 0.029 | 0.029 | 0.076 | 0.272 | 0.270 | 0.225 | 0.261 | 13.236 |
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 | 84 | 84 | 69 | 58 | 87 | 258 | 143 | 62 | 75 |
N.S. |
1 | 1.00 | 0.82 | 0.69 | 1.04 | 3.07 | 1.70 | 0.74 | 0.89 |
time (sec) |
N/A | 0.026 | 0.039 | 0.074 | 0.277 | 0.262 | 0.206 | 0.283 | 13.198 |
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 | 85 | 85 | 69 | 58 | 87 | 258 | 139 | 62 | 74 |
N.S. |
1 | 1.00 | 0.81 | 0.68 | 1.02 | 3.04 | 1.64 | 0.73 | 0.87 |
time (sec) |
N/A | 0.029 | 0.028 | 0.076 | 0.288 | 0.281 | 0.201 | 0.262 | 13.194 |
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 | 79 | 79 | 66 | 78 | 80 | 254 | 129 | 56 | 77 |
N.S. |
1 | 1.00 | 0.84 | 0.99 | 1.01 | 3.22 | 1.63 | 0.71 | 0.97 |
time (sec) |
N/A | 0.024 | 0.026 | 0.069 | 0.273 | 0.269 | 0.209 | 0.268 | 13.225 |
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 | 95 | 95 | 79 | 65 | 93 | 268 | 139 | 68 | 88 |
N.S. |
1 | 1.00 | 0.83 | 0.68 | 0.98 | 2.82 | 1.46 | 0.72 | 0.93 |
time (sec) |
N/A | 0.036 | 0.031 | 0.106 | 0.273 | 0.284 | 0.259 | 0.268 | 13.229 |
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 | 106 | 106 | 91 | 75 | 108 | 304 | 162 | 82 | 102 |
N.S. |
1 | 1.00 | 0.86 | 0.71 | 1.02 | 2.87 | 1.53 | 0.77 | 0.96 |
time (sec) |
N/A | 0.045 | 0.035 | 0.108 | 0.270 | 0.281 | 0.283 | 0.265 | 13.315 |
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 | 119 | 119 | 101 | 87 | 119 | 330 | 173 | 93 | 114 |
N.S. |
1 | 1.00 | 0.85 | 0.73 | 1.00 | 2.77 | 1.45 | 0.78 | 0.96 |
time (sec) |
N/A | 0.055 | 0.037 | 0.133 | 0.270 | 0.275 | 0.319 | 0.270 | 13.262 |
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 | 133 | 133 | 114 | 98 | 143 | 203 | 150 | 113 | 142 |
N.S. |
1 | 1.00 | 0.86 | 0.74 | 1.08 | 1.53 | 1.13 | 0.85 | 1.07 |
time (sec) |
N/A | 0.096 | 0.021 | 0.155 | 0.191 | 0.272 | 0.470 | 0.270 | 0.115 |
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 | 118 | 118 | 101 | 87 | 132 | 190 | 138 | 95 | 132 |
N.S. |
1 | 1.00 | 0.86 | 0.74 | 1.12 | 1.61 | 1.17 | 0.81 | 1.12 |
time (sec) |
N/A | 0.081 | 0.021 | 0.118 | 0.196 | 0.271 | 0.480 | 0.264 | 13.605 |
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 | 109 | 109 | 72 | 76 | 121 | 168 | 124 | 75 | 119 |
N.S. |
1 | 1.00 | 0.66 | 0.70 | 1.11 | 1.54 | 1.14 | 0.69 | 1.09 |
time (sec) |
N/A | 0.068 | 0.020 | 0.094 | 0.193 | 0.250 | 0.368 | 0.272 | 13.322 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 57 | 59 | 102 | 102 | 107 | 55 | 104 |
N.S. |
1 | 1.00 | 3.00 | 3.11 | 5.37 | 5.37 | 5.63 | 2.89 | 5.47 |
time (sec) |
N/A | 0.005 | 0.013 | 0.089 | 0.194 | 0.254 | 0.343 | 0.274 | 13.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 46 | 48 | 91 | 91 | 95 | 44 | 93 |
N.S. |
1 | 1.00 | 1.18 | 1.23 | 2.33 | 2.33 | 2.44 | 1.13 | 2.38 |
time (sec) |
N/A | 0.019 | 0.013 | 0.085 | 0.181 | 0.253 | 0.322 | 0.284 | 0.043 |
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 | 53 | 53 | 35 | 37 | 80 | 80 | 83 | 33 | 81 |
N.S. |
1 | 1.00 | 0.66 | 0.70 | 1.51 | 1.51 | 1.57 | 0.62 | 1.53 |
time (sec) |
N/A | 0.034 | 0.011 | 0.084 | 0.194 | 0.259 | 0.285 | 0.271 | 13.251 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 24 | 26 | 69 | 69 | 71 | 22 | 70 |
N.S. |
1 | 1.00 | 0.71 | 0.76 | 2.03 | 2.03 | 2.09 | 0.65 | 2.06 |
time (sec) |
N/A | 0.021 | 0.007 | 0.090 | 0.178 | 0.251 | 0.233 | 0.277 | 13.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 59 | 59 | 63 | 14 | 61 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 3.69 | 3.69 | 3.94 | 0.88 | 3.81 |
time (sec) |
N/A | 0.004 | 0.003 | 0.081 | 0.185 | 0.245 | 0.246 | 0.283 | 0.046 |
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 | 102 | 102 | 76 | 85 | 126 | 222 | 128 | 92 | 122 |
N.S. |
1 | 1.00 | 0.75 | 0.83 | 1.24 | 2.18 | 1.25 | 0.90 | 1.20 |
time (sec) |
N/A | 0.070 | 0.037 | 0.131 | 0.191 | 0.254 | 0.358 | 0.267 | 0.186 |
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 | 116 | 116 | 92 | 98 | 143 | 251 | 150 | 115 | 141 |
N.S. |
1 | 1.00 | 0.79 | 0.84 | 1.23 | 2.16 | 1.29 | 0.99 | 1.22 |
time (sec) |
N/A | 0.082 | 0.060 | 0.145 | 0.197 | 0.264 | 0.418 | 0.269 | 0.174 |
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 | 140 | 140 | 107 | 111 | 158 | 266 | 165 | 130 | 155 |
N.S. |
1 | 1.00 | 0.76 | 0.79 | 1.13 | 1.90 | 1.18 | 0.93 | 1.11 |
time (sec) |
N/A | 0.100 | 0.041 | 0.148 | 0.186 | 0.268 | 0.447 | 0.278 | 13.385 |
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 | 155 | 155 | 122 | 107 | 159 | 454 | 218 | 117 | 153 |
N.S. |
1 | 1.00 | 0.79 | 0.69 | 1.03 | 2.93 | 1.41 | 0.75 | 0.99 |
time (sec) |
N/A | 0.071 | 0.041 | 0.114 | 0.267 | 0.265 | 0.483 | 0.288 | 0.094 |
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 | 142 | 142 | 111 | 96 | 148 | 428 | 204 | 106 | 143 |
N.S. |
1 | 1.00 | 0.78 | 0.68 | 1.04 | 3.01 | 1.44 | 0.75 | 1.01 |
time (sec) |
N/A | 0.063 | 0.039 | 0.101 | 0.271 | 0.276 | 0.461 | 0.350 | 13.548 |
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 | 100 | 84 | 134 | 400 | 178 | 87 | 130 |
N.S. |
1 | 1.00 | 0.76 | 0.64 | 1.02 | 3.05 | 1.36 | 0.66 | 0.99 |
time (sec) |
N/A | 0.051 | 0.035 | 0.101 | 0.271 | 0.258 | 0.440 | 0.297 | 0.145 |
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 | 121 | 121 | 88 | 80 | 125 | 386 | 182 | 78 | 122 |
N.S. |
1 | 1.00 | 0.73 | 0.66 | 1.03 | 3.19 | 1.50 | 0.64 | 1.01 |
time (sec) |
N/A | 0.046 | 0.034 | 0.115 | 0.268 | 0.266 | 0.348 | 0.272 | 14.064 |
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 | 122 | 122 | 91 | 80 | 131 | 390 | 194 | 84 | 119 |
N.S. |
1 | 1.00 | 0.75 | 0.66 | 1.07 | 3.20 | 1.59 | 0.69 | 0.98 |
time (sec) |
N/A | 0.046 | 0.043 | 0.109 | 0.274 | 0.272 | 0.334 | 0.271 | 14.021 |
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 | 123 | 123 | 91 | 78 | 133 | 390 | 196 | 84 | 117 |
N.S. |
1 | 1.00 | 0.74 | 0.63 | 1.08 | 3.17 | 1.59 | 0.68 | 0.95 |
time (sec) |
N/A | 0.050 | 0.039 | 0.111 | 0.271 | 0.275 | 0.297 | 0.287 | 13.884 |
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 | 124 | 124 | 91 | 78 | 133 | 390 | 196 | 84 | 116 |
N.S. |
1 | 1.00 | 0.73 | 0.63 | 1.07 | 3.15 | 1.58 | 0.68 | 0.94 |
time (sec) |
N/A | 0.049 | 0.034 | 0.104 | 0.270 | 0.271 | 0.297 | 0.275 | 13.998 |
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 | 125 | 125 | 91 | 80 | 131 | 390 | 190 | 84 | 118 |
N.S. |
1 | 1.00 | 0.73 | 0.64 | 1.05 | 3.12 | 1.52 | 0.67 | 0.94 |
time (sec) |
N/A | 0.047 | 0.036 | 0.106 | 0.276 | 0.266 | 0.277 | 0.280 | 14.036 |
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 | 113 | 113 | 89 | 120 | 124 | 386 | 177 | 78 | 121 |
N.S. |
1 | 1.00 | 0.79 | 1.06 | 1.10 | 3.42 | 1.57 | 0.69 | 1.07 |
time (sec) |
N/A | 0.043 | 0.031 | 0.096 | 0.271 | 0.260 | 0.292 | 0.292 | 13.142 |
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 | 133 | 133 | 101 | 87 | 137 | 400 | 187 | 90 | 132 |
N.S. |
1 | 1.00 | 0.76 | 0.65 | 1.03 | 3.01 | 1.41 | 0.68 | 0.99 |
time (sec) |
N/A | 0.059 | 0.037 | 0.154 | 0.270 | 0.264 | 0.362 | 0.300 | 13.189 |
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 | 144 | 144 | 113 | 97 | 152 | 436 | 209 | 104 | 146 |
N.S. |
1 | 1.00 | 0.78 | 0.67 | 1.06 | 3.03 | 1.45 | 0.72 | 1.01 |
time (sec) |
N/A | 0.067 | 0.047 | 0.148 | 0.275 | 0.266 | 0.415 | 0.321 | 13.606 |
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 | 157 | 157 | 123 | 109 | 163 | 462 | 221 | 115 | 158 |
N.S. |
1 | 1.00 | 0.78 | 0.69 | 1.04 | 2.94 | 1.41 | 0.73 | 1.01 |
time (sec) |
N/A | 0.080 | 0.042 | 0.164 | 0.270 | 0.273 | 0.450 | 0.299 | 13.810 |
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 | 19 | 19 | 16 | 16 | 15 | 19 | 12 | 15 | 16 |
N.S. |
1 | 1.00 | 0.84 | 0.84 | 0.79 | 1.00 | 0.63 | 0.79 | 0.84 |
time (sec) |
N/A | 0.002 | 0.008 | 0.044 | 0.264 | 0.249 | 0.049 | 0.267 | 13.559 |
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 | 11 | 11 | 11 | 10 | 9 | 9 | 8 | 9 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.82 | 0.82 | 0.73 | 0.82 | 1.00 |
time (sec) |
N/A | 0.001 | 0.002 | 0.021 | 0.190 | 0.249 | 0.032 | 0.274 | 0.018 |
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 | 19 | 19 | 19 | 16 | 15 | 21 | 12 | 15 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 1.11 | 0.63 | 0.79 | 0.89 |
time (sec) |
N/A | 0.004 | 0.007 | 0.041 | 0.263 | 0.261 | 0.044 | 0.276 | 0.026 |
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 | 22 | 22 | 18 | 19 | 18 | 23 | 15 | 18 | 18 |
N.S. |
1 | 1.00 | 0.82 | 0.86 | 0.82 | 1.05 | 0.68 | 0.82 | 0.82 |
time (sec) |
N/A | 0.007 | 0.008 | 0.029 | 0.197 | 0.247 | 0.034 | 0.282 | 0.031 |
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 | 13 | 13 | 11 | 10 | 9 | 9 | 8 | 9 | 11 |
N.S. |
1 | 1.00 | 0.85 | 0.77 | 0.69 | 0.69 | 0.62 | 0.69 | 0.85 |
time (sec) |
N/A | 0.002 | 0.002 | 0.026 | 0.178 | 0.250 | 0.029 | 0.273 | 0.045 |
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 | 24 | 24 | 20 | 19 | 18 | 23 | 14 | 19 | 18 |
N.S. |
1 | 1.00 | 0.83 | 0.79 | 0.75 | 0.96 | 0.58 | 0.79 | 0.75 |
time (sec) |
N/A | 0.010 | 0.005 | 0.034 | 0.185 | 0.266 | 0.033 | 0.273 | 13.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 91 | 24 | 13 | 13 | 0 | 29 | 71 |
N.S. |
1 | 1.00 | 1.15 | 0.30 | 0.16 | 0.16 | 0.00 | 0.37 | 0.90 |
time (sec) |
N/A | 0.042 | 0.389 | 0.122 | 0.186 | 0.252 | 0.000 | 0.265 | 13.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 39 | 24 | 13 | 13 | 0 | 23 | 59 |
N.S. |
1 | 1.00 | 0.58 | 0.36 | 0.19 | 0.19 | 0.00 | 0.34 | 0.88 |
time (sec) |
N/A | 0.035 | 1.014 | 0.078 | 0.185 | 0.261 | 0.000 | 0.306 | 13.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 88 | 23 | 14 | 13 | 0 | 22 | 33 |
N.S. |
1 | 1.00 | 2.44 | 0.64 | 0.39 | 0.36 | 0.00 | 0.61 | 0.92 |
time (sec) |
N/A | 0.017 | 0.414 | 0.072 | 0.180 | 0.258 | 0.000 | 0.275 | 13.724 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 454 | 26 | 14 | 11 | 0 | 30 | 109 |
N.S. |
1 | 1.00 | 6.05 | 0.35 | 0.19 | 0.15 | 0.00 | 0.40 | 1.45 |
time (sec) |
N/A | 0.014 | 0.970 | 0.084 | 0.186 | 0.259 | 0.000 | 0.277 | 13.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 178 | 28 | 14 | 17 | 0 | 45 | 112 |
N.S. |
1 | 1.00 | 2.37 | 0.37 | 0.19 | 0.23 | 0.00 | 0.60 | 1.49 |
time (sec) |
N/A | 0.015 | 0.450 | 0.072 | 0.191 | 0.259 | 0.000 | 0.284 | 13.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 37 | 22 | 13 | 13 | 0 | 30 | 33 |
N.S. |
1 | 1.00 | 0.95 | 0.56 | 0.33 | 0.33 | 0.00 | 0.77 | 0.85 |
time (sec) |
N/A | 0.024 | 1.010 | 0.054 | 0.182 | 0.261 | 0.000 | 0.279 | 13.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 39 | 24 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.54 | 0.33 | 0.21 | 0.21 | 0.00 | 0.43 | 0.49 |
time (sec) |
N/A | 0.010 | 1.006 | 0.056 | 0.186 | 0.263 | 0.000 | 0.296 | 13.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 24 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.49 | 0.30 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.041 | 1.010 | 0.059 | 0.186 | 0.270 | 0.000 | 0.315 | 13.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 24 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.49 | 0.30 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.039 | 1.011 | 0.061 | 0.186 | 0.246 | 0.000 | 0.276 | 13.254 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 36 | 13 | 13 | 0 | 29 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.46 | 0.16 | 0.16 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.016 | 1.009 | 1.606 | 0.183 | 0.262 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 36 | 13 | 13 | 0 | 29 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.46 | 0.16 | 0.16 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.015 | 1.008 | 0.757 | 0.192 | 0.241 | 0.000 | 0.265 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 36 | 33 | 10 | 10 | 0 | 20 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.45 | 0.14 | 0.14 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.008 | 0.005 | 0.395 | 0.184 | 0.254 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 35 | 34 | 10 | 13 | 0 | 26 | 0 |
N.S. |
1 | 1.00 | 0.49 | 0.47 | 0.14 | 0.18 | 0.00 | 0.36 | 0.00 |
time (sec) |
N/A | 0.014 | 1.007 | 0.699 | 0.186 | 0.261 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 37 | 34 | 13 | 13 | 0 | 30 | 33 |
N.S. |
1 | 1.00 | 0.48 | 0.44 | 0.17 | 0.17 | 0.00 | 0.39 | 0.43 |
time (sec) |
N/A | 0.014 | 1.008 | 1.197 | 0.179 | 0.259 | 0.000 | 0.292 | 13.219 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.016 | 1.007 | 1.926 | 0.189 | 0.252 | 0.000 | 0.278 | 13.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.015 | 1.007 | 2.698 | 0.187 | 0.269 | 0.000 | 0.266 | 13.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 1.00 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.015 | 1.010 | 3.930 | 0.191 | 0.271 | 0.000 | 0.277 | 13.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 113 | 46 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.68 | 0.28 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.075 | 0.605 | 0.112 | 0.187 | 0.284 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 113 | 46 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.68 | 0.28 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.073 | 0.559 | 0.106 | 0.196 | 0.283 | 0.000 | 0.267 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 106 | 119 | 113 | 46 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.12 | 1.07 | 0.43 | 0.33 | 0.33 | 0.00 | 0.63 | 0.00 |
time (sec) |
N/A | 0.056 | 0.499 | 0.110 | 0.186 | 0.260 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 113 | 46 | 35 | 35 | 0 | 45 | 46 |
N.S. |
1 | 1.00 | 1.69 | 0.69 | 0.52 | 0.52 | 0.00 | 0.67 | 0.69 |
time (sec) |
N/A | 0.034 | 0.441 | 0.091 | 0.186 | 0.280 | 0.000 | 0.264 | 13.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 27 | 24 | 35 | 35 | 0 | 44 | 36 |
N.S. |
1 | 1.00 | 0.75 | 0.67 | 0.97 | 0.97 | 0.00 | 1.22 | 1.00 |
time (sec) |
N/A | 0.018 | 0.010 | 0.089 | 0.199 | 0.289 | 0.000 | 0.277 | 13.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F(-1) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 60 | 47 | 0 | 33 | 0 | 68 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.29 | 0.00 | 0.20 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.031 | 1.018 | 0.074 | 0.000 | 0.260 | 0.000 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 62 | 48 | 34 | 38 | 0 | 87 | 0 |
N.S. |
1 | 1.00 | 0.38 | 0.29 | 0.21 | 0.23 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.034 | 1.021 | 0.091 | 0.203 | 0.273 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 612 | 48 | 34 | 39 | 0 | 87 | 0 |
N.S. |
1 | 1.00 | 3.73 | 0.29 | 0.21 | 0.24 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.031 | 0.806 | 0.077 | 0.197 | 0.264 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 266 | 50 | 33 | 39 | 0 | 87 | 0 |
N.S. |
1 | 1.00 | 1.63 | 0.31 | 0.20 | 0.24 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.031 | 0.311 | 0.085 | 0.200 | 0.269 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 59 | 41 | 35 | 35 | 0 | 68 | 151 |
N.S. |
1 | 1.00 | 1.44 | 1.00 | 0.85 | 0.85 | 0.00 | 1.66 | 3.68 |
time (sec) |
N/A | 0.026 | 1.015 | 0.073 | 0.195 | 0.257 | 0.000 | 0.277 | 13.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 61 | 44 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.85 | 0.61 | 0.49 | 0.51 | 0.00 | 0.96 | 2.10 |
time (sec) |
N/A | 0.010 | 1.012 | 0.071 | 0.197 | 0.267 | 0.000 | 0.270 | 13.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 44 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.26 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.069 | 1.017 | 0.082 | 0.208 | 0.261 | 0.000 | 0.270 | 13.204 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 46 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.28 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.072 | 1.017 | 0.084 | 0.206 | 0.265 | 0.000 | 0.273 | 13.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 44 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.26 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.072 | 1.016 | 0.080 | 0.193 | 0.256 | 0.000 | 0.295 | 13.296 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.028 | 1.016 | 2.693 | 0.198 | 0.262 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.029 | 1.011 | 1.928 | 0.200 | 0.258 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.028 | 1.013 | 1.191 | 0.198 | 0.250 | 0.000 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.028 | 1.008 | 0.759 | 0.193 | 0.245 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 59 | 56 | 31 | 31 | 0 | 63 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.19 | 0.19 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.022 | 1.010 | 0.391 | 0.195 | 0.253 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 60 | 58 | 32 | 36 | 0 | 64 | 0 |
N.S. |
1 | 1.00 | 0.38 | 0.37 | 0.20 | 0.23 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.026 | 1.013 | 0.701 | 0.189 | 0.252 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 59 | 56 | 33 | 36 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.20 | 0.22 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.026 | 1.012 | 1.166 | 0.206 | 0.258 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 59 | 56 | 32 | 37 | 0 | 66 | 0 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.20 | 0.23 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.027 | 1.011 | 1.900 | 0.205 | 0.242 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 61 | 57 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.35 | 0.21 | 0.23 | 0.00 | 0.42 | 0.93 |
time (sec) |
N/A | 0.027 | 1.011 | 2.668 | 0.202 | 0.262 | 0.000 | 0.277 | 13.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 57 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.34 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.027 | 1.011 | 3.839 | 0.201 | 0.241 | 0.000 | 0.270 | 13.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 57 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.34 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.029 | 1.014 | 5.473 | 0.198 | 0.244 | 0.000 | 0.274 | 13.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 57 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.34 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.029 | 1.010 | 7.285 | 0.202 | 0.245 | 0.000 | 0.270 | 13.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 61 | 57 | 35 | 37 | 0 | 69 | 151 |
N.S. |
1 | 1.00 | 0.37 | 0.34 | 0.21 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.029 | 1.012 | 9.646 | 0.211 | 0.250 | 0.000 | 0.308 | 13.469 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 135 | 66 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.26 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.107 | 0.991 | 0.373 | 0.208 | 0.246 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 255 | 255 | 135 | 66 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 1.00 | 0.53 | 0.26 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.120 | 0.903 | 0.250 | 0.193 | 0.254 | 0.000 | 0.275 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 135 | 68 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.34 | 0.28 | 0.28 | 0.00 | 0.52 | 0.00 |
time (sec) |
N/A | 0.098 | 0.827 | 0.205 | 0.190 | 0.244 | 0.000 | 0.277 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 135 | 66 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 1.00 | 0.84 | 0.41 | 0.36 | 0.36 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.096 | 0.758 | 0.148 | 0.194 | 0.247 | 0.000 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 135 | 66 | 56 | 56 | 0 | 104 | 0 |
N.S. |
1 | 1.00 | 1.13 | 0.55 | 0.47 | 0.47 | 0.00 | 0.87 | 0.00 |
time (sec) |
N/A | 0.068 | 0.745 | 0.126 | 0.206 | 0.251 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 135 | 66 | 56 | 56 | 0 | 67 | 0 |
N.S. |
1 | 1.00 | 2.01 | 0.99 | 0.84 | 0.84 | 0.00 | 1.00 | 0.00 |
time (sec) |
N/A | 0.037 | 0.661 | 0.100 | 0.189 | 0.239 | 0.000 | 0.281 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 27 | 24 | 57 | 57 | 0 | 66 | 36 |
N.S. |
1 | 1.00 | 0.75 | 0.67 | 1.58 | 1.58 | 0.00 | 1.83 | 1.00 |
time (sec) |
N/A | 0.022 | 0.012 | 0.096 | 0.194 | 0.244 | 0.000 | 0.275 | 13.395 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 82 | 69 | 55 | 55 | 0 | 106 | 0 |
N.S. |
1 | 1.00 | 0.33 | 0.27 | 0.22 | 0.22 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.048 | 1.016 | 0.079 | 0.196 | 0.244 | 0.000 | 0.272 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 85 | 70 | 56 | 61 | 0 | 125 | 0 |
N.S. |
1 | 1.00 | 0.34 | 0.28 | 0.22 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.051 | 1.021 | 0.097 | 0.199 | 0.254 | 0.000 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 276 | 70 | 56 | 61 | 0 | 127 | 0 |
N.S. |
1 | 1.00 | 1.10 | 0.28 | 0.22 | 0.24 | 0.00 | 0.51 | 0.00 |
time (sec) |
N/A | 0.051 | 0.828 | 0.099 | 0.190 | 0.248 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 279 | 70 | 56 | 61 | 0 | 128 | 0 |
N.S. |
1 | 1.00 | 1.12 | 0.28 | 0.22 | 0.24 | 0.00 | 0.51 | 0.00 |
time (sec) |
N/A | 0.051 | 0.681 | 0.135 | 0.205 | 0.251 | 0.000 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 696 | 70 | 56 | 61 | 0 | 126 | 0 |
N.S. |
1 | 1.00 | 2.78 | 0.28 | 0.22 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.047 | 0.984 | 0.150 | 0.200 | 0.261 | 0.000 | 0.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 268 | 70 | 55 | 61 | 0 | 125 | 0 |
N.S. |
1 | 1.00 | 1.07 | 0.28 | 0.22 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.045 | 0.491 | 0.196 | 0.202 | 0.248 | 0.000 | 0.264 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 81 | 58 | 57 | 57 | 0 | 106 | 231 |
N.S. |
1 | 1.00 | 1.98 | 1.41 | 1.39 | 1.39 | 0.00 | 2.59 | 5.63 |
time (sec) |
N/A | 0.027 | 1.015 | 0.299 | 0.198 | 0.247 | 0.000 | 0.265 | 13.146 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 83 | 68 | 57 | 59 | 0 | 107 | 231 |
N.S. |
1 | 1.00 | 1.15 | 0.94 | 0.79 | 0.82 | 0.00 | 1.49 | 3.21 |
time (sec) |
N/A | 0.011 | 1.018 | 0.468 | 0.199 | 0.261 | 0.000 | 0.280 | 13.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 83 | 66 | 57 | 59 | 0 | 107 | 231 |
N.S. |
1 | 1.00 | 0.65 | 0.52 | 0.45 | 0.46 | 0.00 | 0.84 | 1.80 |
time (sec) |
N/A | 0.062 | 1.019 | 0.735 | 0.195 | 0.248 | 0.000 | 0.265 | 13.604 |