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 | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 77 | 137 | 186 | 102 | 0 | 84 | 0 |
N.S. |
1 | 1.00 | 0.65 | 1.16 | 1.58 | 0.86 | 0.00 | 0.71 | 0.00 |
time (sec) |
N/A | 0.029 | 0.401 | 1.218 | 0.273 | 0.226 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | C | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 64 | 0 | 129 | 97 | 728 | 71 | 0 |
N.S. |
1 | 1.00 | 0.67 | 0.00 | 1.34 | 1.01 | 7.58 | 0.74 | 0.00 |
time (sec) |
N/A | 0.018 | 0.122 | 0.000 | 0.280 | 0.226 | 3.997 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 165 | 191 | 163 | 142 | 0 | 180 | 0 |
N.S. |
1 | 1.00 | 1.53 | 1.77 | 1.51 | 1.31 | 0.00 | 1.67 | 0.00 |
time (sec) |
N/A | 0.035 | 1.449 | 1.221 | 0.289 | 0.254 | 0.000 | 0.361 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 142 | 209 | 138 | 101 | 0 | 232 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.71 | 1.13 | 0.83 | 0.00 | 1.90 | 0.00 |
time (sec) |
N/A | 0.022 | 1.915 | 1.221 | 0.289 | 0.234 | 0.000 | 0.430 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 150 | 257 | 172 | 116 | 0 | 291 | 0 |
N.S. |
1 | 1.00 | 0.99 | 1.70 | 1.14 | 0.77 | 0.00 | 1.93 | 0.00 |
time (sec) |
N/A | 0.035 | 2.240 | 1.235 | 0.296 | 0.236 | 0.000 | 0.534 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 152 | 305 | 240 | 131 | 0 | 349 | 0 |
N.S. |
1 | 1.00 | 0.88 | 1.76 | 1.39 | 0.76 | 0.00 | 2.02 | 0.00 |
time (sec) |
N/A | 0.055 | 2.748 | 1.235 | 0.300 | 0.238 | 0.000 | 0.633 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 157 | 353 | 325 | 146 | 0 | 407 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.75 | 1.61 | 0.72 | 0.00 | 2.01 | 0.00 |
time (sec) |
N/A | 0.060 | 3.570 | 1.237 | 0.285 | 0.231 | 0.000 | 0.797 | 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 | 142 | 142 | 83 | 154 | 108 | 101 | 0 | 97 | 0 |
N.S. |
1 | 1.00 | 0.58 | 1.08 | 0.76 | 0.71 | 0.00 | 0.68 | 0.00 |
time (sec) |
N/A | 0.037 | 0.206 | 1.216 | 0.289 | 0.233 | 0.000 | 0.309 | 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 | 113 | 113 | 78 | 137 | 91 | 96 | 0 | 84 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.21 | 0.81 | 0.85 | 0.00 | 0.74 | 0.00 |
time (sec) |
N/A | 0.025 | 0.169 | 1.227 | 0.278 | 0.227 | 0.000 | 0.308 | 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 | 84 | 84 | 73 | 120 | 76 | 91 | 0 | 71 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.43 | 0.90 | 1.08 | 0.00 | 0.85 | 0.00 |
time (sec) |
N/A | 0.015 | 0.151 | 1.239 | 0.280 | 0.231 | 0.000 | 0.302 | 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 | 68 | 103 | 62 | 86 | 0 | 58 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.43 | 0.86 | 1.19 | 0.00 | 0.81 | 0.00 |
time (sec) |
N/A | 0.016 | 0.130 | 4.148 | 0.271 | 0.230 | 0.000 | 0.290 | 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 | 45 | 45 | 27 | 22 | 48 | 33 | 0 | 39 | 35 |
N.S. |
1 | 1.00 | 0.60 | 0.49 | 1.07 | 0.73 | 0.00 | 0.87 | 0.78 |
time (sec) |
N/A | 0.005 | 0.059 | 4.146 | 0.274 | 0.225 | 0.000 | 0.297 | 2.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 27 | 22 | 48 | 33 | 177 | 39 | 34 |
N.S. |
1 | 1.00 | 0.60 | 0.49 | 1.07 | 0.73 | 3.93 | 0.87 | 0.76 |
time (sec) |
N/A | 0.004 | 0.024 | 4.143 | 0.272 | 0.229 | 1.058 | 0.284 | 0.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 62 | 154 | 0 | 86 | 0 | 113 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.95 | 0.00 | 1.09 | 0.00 | 1.43 | 0.00 |
time (sec) |
N/A | 0.024 | 0.128 | 1.243 | 0.000 | 0.232 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 86 | 209 | 0 | 101 | 0 | 232 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.94 | 0.00 | 0.94 | 0.00 | 2.15 | 0.00 |
time (sec) |
N/A | 0.027 | 0.146 | 1.251 | 0.000 | 0.234 | 0.000 | 0.370 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 95 | 257 | 0 | 116 | 0 | 291 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.88 | 0.00 | 0.85 | 0.00 | 2.12 | 0.00 |
time (sec) |
N/A | 0.041 | 0.194 | 1.242 | 0.000 | 0.234 | 0.000 | 0.454 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 84 | 305 | 0 | 131 | 0 | 349 | 0 |
N.S. |
1 | 1.00 | 0.51 | 1.84 | 0.00 | 0.79 | 0.00 | 2.10 | 0.00 |
time (sec) |
N/A | 0.056 | 0.259 | 4.134 | 0.000 | 0.232 | 0.000 | 0.545 | 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 | 142 | 142 | 93 | 168 | 112 | 111 | 0 | 144 | 0 |
N.S. |
1 | 1.00 | 0.65 | 1.18 | 0.79 | 0.78 | 0.00 | 1.01 | 0.00 |
time (sec) |
N/A | 0.035 | 0.199 | 4.134 | 0.295 | 0.234 | 0.000 | 0.323 | 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 | 113 | 113 | 88 | 151 | 95 | 106 | 0 | 131 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.34 | 0.84 | 0.94 | 0.00 | 1.16 | 0.00 |
time (sec) |
N/A | 0.025 | 0.162 | 4.117 | 0.293 | 0.233 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 64 | 134 | 78 | 101 | 0 | 118 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.60 | 0.93 | 1.20 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.015 | 0.133 | 4.133 | 0.268 | 0.228 | 0.000 | 0.328 | 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 | 67 | 67 | 32 | 27 | 64 | 43 | 0 | 100 | 52 |
N.S. |
1 | 1.00 | 0.48 | 0.40 | 0.96 | 0.64 | 0.00 | 1.49 | 0.78 |
time (sec) |
N/A | 0.011 | 0.077 | 4.148 | 0.199 | 0.215 | 0.000 | 0.329 | 0.371 |
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 | 67 | 67 | 32 | 27 | 64 | 43 | 0 | 100 | 52 |
N.S. |
1 | 1.00 | 0.48 | 0.40 | 0.96 | 0.64 | 0.00 | 1.49 | 0.78 |
time (sec) |
N/A | 0.008 | 0.077 | 1.272 | 0.193 | 0.223 | 0.000 | 0.305 | 2.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 32 | 27 | 64 | 43 | 230 | 100 | 52 |
N.S. |
1 | 1.00 | 0.48 | 0.40 | 0.96 | 0.64 | 3.43 | 1.49 | 0.78 |
time (sec) |
N/A | 0.009 | 0.028 | 1.225 | 0.192 | 0.229 | 2.201 | 0.295 | 2.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 67 | 202 | 0 | 101 | 0 | 172 | 0 |
N.S. |
1 | 1.00 | 0.66 | 2.00 | 0.00 | 1.00 | 0.00 | 1.70 | 0.00 |
time (sec) |
N/A | 0.027 | 0.194 | 1.241 | 0.000 | 0.236 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 79 | 257 | 0 | 116 | 0 | 291 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.98 | 0.00 | 0.89 | 0.00 | 2.24 | 0.00 |
time (sec) |
N/A | 0.035 | 0.156 | 4.139 | 0.000 | 0.221 | 0.000 | 0.381 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 84 | 305 | 0 | 131 | 0 | 350 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.92 | 0.00 | 0.82 | 0.00 | 2.20 | 0.00 |
time (sec) |
N/A | 0.044 | 0.210 | 4.169 | 0.000 | 0.233 | 0.000 | 0.504 | 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 | 171 | 171 | 79 | 199 | 214 | 126 | 0 | 205 | 0 |
N.S. |
1 | 1.00 | 0.46 | 1.16 | 1.25 | 0.74 | 0.00 | 1.20 | 0.00 |
time (sec) |
N/A | 0.048 | 0.249 | 4.170 | 0.279 | 0.226 | 0.000 | 0.349 | 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 | 142 | 142 | 74 | 182 | 197 | 121 | 0 | 192 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.28 | 1.39 | 0.85 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 0.031 | 0.203 | 4.172 | 0.293 | 0.248 | 0.000 | 0.368 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 69 | 165 | 180 | 116 | 0 | 179 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.46 | 1.59 | 1.03 | 0.00 | 1.58 | 0.00 |
time (sec) |
N/A | 0.024 | 0.122 | 4.142 | 0.283 | 0.229 | 0.000 | 0.368 | 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 | 96 | 96 | 37 | 32 | 76 | 53 | 0 | 161 | 69 |
N.S. |
1 | 1.00 | 0.39 | 0.33 | 0.79 | 0.55 | 0.00 | 1.68 | 0.72 |
time (sec) |
N/A | 0.013 | 0.086 | 4.147 | 0.188 | 0.230 | 0.000 | 0.333 | 0.350 |
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 | 89 | 89 | 37 | 32 | 59 | 53 | 0 | 161 | 69 |
N.S. |
1 | 1.00 | 0.42 | 0.36 | 0.66 | 0.60 | 0.00 | 1.81 | 0.78 |
time (sec) |
N/A | 0.013 | 0.087 | 1.237 | 0.190 | 0.236 | 0.000 | 0.348 | 3.021 |
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 | 89 | 89 | 37 | 32 | 59 | 53 | 0 | 161 | 69 |
N.S. |
1 | 1.00 | 0.42 | 0.36 | 0.66 | 0.60 | 0.00 | 1.81 | 0.78 |
time (sec) |
N/A | 0.012 | 0.085 | 1.227 | 0.185 | 0.231 | 0.000 | 0.348 | 0.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 37 | 32 | 59 | 53 | 391 | 165 | 69 |
N.S. |
1 | 1.00 | 0.42 | 0.36 | 0.66 | 0.60 | 4.39 | 1.85 | 0.78 |
time (sec) |
N/A | 0.012 | 0.030 | 1.230 | 0.192 | 0.220 | 4.091 | 0.317 | 2.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 72 | 250 | 87 | 116 | 0 | 233 | 0 |
N.S. |
1 | 1.00 | 0.59 | 2.03 | 0.71 | 0.94 | 0.00 | 1.89 | 0.00 |
time (sec) |
N/A | 0.036 | 0.133 | 1.231 | 0.277 | 0.231 | 0.000 | 0.328 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 84 | 305 | 121 | 131 | 0 | 352 | 0 |
N.S. |
1 | 1.00 | 0.55 | 2.01 | 0.80 | 0.86 | 0.00 | 2.32 | 0.00 |
time (sec) |
N/A | 0.042 | 0.170 | 1.244 | 0.277 | 0.237 | 0.000 | 0.461 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 181 | 89 | 353 | 172 | 146 | 0 | 411 | 0 |
N.S. |
1 | 1.00 | 0.49 | 1.95 | 0.95 | 0.81 | 0.00 | 2.27 | 0.00 |
time (sec) |
N/A | 0.057 | 0.214 | 1.247 | 0.279 | 0.238 | 0.000 | 0.606 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | C | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 129 | 179 | 0 | 418 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.22 | 3.09 | 0.00 | 7.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.035 | 12.007 | 4.984 | 0.000 | 0.083 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 126 | 207 | 0 | 384 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.31 | 2.16 | 0.00 | 4.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.064 | 12.532 | 3.240 | 0.000 | 0.090 | 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 | 134 | 134 | 126 | 192 | 0 | 233 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 1.43 | 0.00 | 1.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.096 | 7.487 | 2.699 | 0.000 | 0.080 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 191 | 348 | 0 | 1150 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.29 | 6.00 | 0.00 | 19.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.016 | 12.507 | 1.374 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 200 | 729 | 0 | 1102 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.08 | 7.59 | 0.00 | 11.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.045 | 13.428 | 1.321 | 0.000 | 0.106 | 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 | 162 | 162 | 103 | 181 | 0 | 1177 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.12 | 0.00 | 7.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.136 | 10.854 | 1.363 | 0.000 | 0.088 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 154 | 498 | 0 | 664 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.15 | 3.72 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 8.777 | 0.879 | 0.000 | 0.115 | 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 | 101 | 101 | 123 | 172 | 0 | 76 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 1.70 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 5.860 | 2.212 | 0.000 | 0.068 | 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 | 191 | 191 | 103 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.059 | 3.451 | 1.387 | 0.000 | 0.070 | 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 | 160 | 160 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.94 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 2.906 | 1.304 | 0.000 | 0.066 | 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 | 129 | 129 | 93 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.12 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 1.083 | 1.301 | 0.000 | 0.068 | 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 | 98 | 98 | 88 | 140 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.43 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.021 | 1.029 | 1.298 | 0.000 | 0.067 | 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 | 98 | 98 | 88 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.38 | 0.00 | 0.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.021 | 3.464 | 1.246 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 3.060 | 1.253 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 96 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.60 | 1.52 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 3.540 | 1.315 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 101 | 267 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.40 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.046 | 4.054 | 1.237 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 108 | 160 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.73 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 7.144 | 1.319 | 0.000 | 0.069 | 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 | 191 | 191 | 103 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.060 | 5.947 | 1.304 | 0.000 | 0.069 | 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 | 160 | 160 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.94 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 2.957 | 1.305 | 0.000 | 0.068 | 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 | 129 | 129 | 93 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.12 | 0.00 | 0.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.035 | 2.977 | 1.308 | 0.000 | 0.067 | 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 | 129 | 129 | 93 | 140 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.09 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 6.283 | 1.255 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 6.648 | 1.261 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 94 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.52 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.036 | 6.864 | 1.264 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 101 | 267 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.40 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 6.861 | 1.263 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 106 | 291 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 1.31 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.063 | 7.084 | 1.267 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 113 | 165 | 0 | 74 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.45 | 0.66 | 0.00 | 0.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.071 | 8.064 | 1.371 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 108 | 160 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.73 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.068 | 6.642 | 1.306 | 0.000 | 0.072 | 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 | 191 | 191 | 103 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 3.367 | 1.311 | 0.000 | 0.072 | 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 | 160 | 160 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 0.94 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.039 | 3.448 | 1.309 | 0.000 | 0.070 | 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 | 156 | 156 | 108 | 144 | 0 | 77 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 0.92 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.047 | 5.855 | 1.255 | 0.000 | 0.071 | 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 | 160 | 160 | 98 | 224 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.40 | 0.00 | 0.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.052 | 7.599 | 1.259 | 0.000 | 0.073 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 94 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.52 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.042 | 7.868 | 1.268 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 99 | 267 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.40 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.058 | 8.562 | 1.272 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 106 | 291 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 1.31 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.067 | 8.153 | 1.274 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 111 | 315 | 0 | 168 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.45 | 1.27 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.073 | 8.082 | 1.342 | 0.000 | 0.074 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 154 | 498 | 0 | 664 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.15 | 3.72 | 0.00 | 4.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.033 | 0.026 | 1.273 | 0.000 | 0.107 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 126 | 637 | 0 | 764 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 3.46 | 0.00 | 4.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.087 | 13.087 | 2.156 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 109 | 22 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.52 | 0.71 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 1.747 | 1.084 | 0.000 | 0.072 | 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 | 158 | 158 | 98 | 150 | 0 | 59 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.95 | 0.00 | 0.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.049 | 3.474 | 4.259 | 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 | 127 | 127 | 93 | 145 | 0 | 54 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.14 | 0.00 | 0.43 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.031 | 2.993 | 1.293 | 0.000 | 0.070 | 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 | 98 | 98 | 88 | 140 | 0 | 49 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 1.43 | 0.00 | 0.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 1.069 | 1.314 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 121 | 36 | 0 | 26 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.47 | 0.73 | 0.00 | 0.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.009 | 1.616 | 1.258 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 102 | 135 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.67 | 2.21 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 2.875 | 4.227 | 0.000 | 0.064 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1.70 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 3.281 | 1.269 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 96 | 243 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.54 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 3.743 | 1.261 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 103 | 150 | 0 | 83 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.79 | 0.00 | 0.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.050 | 6.783 | 1.264 | 0.000 | 0.071 | 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 | 158 | 158 | 98 | 145 | 0 | 78 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.92 | 0.00 | 0.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.043 | 6.264 | 1.262 | 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 | 127 | 127 | 93 | 140 | 0 | 73 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.10 | 0.00 | 0.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.035 | 5.890 | 1.257 | 0.000 | 0.071 | 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 | 94 | 94 | 90 | 134 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 1.43 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.020 | 2.896 | 1.266 | 0.000 | 0.067 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 134 | 0 | 68 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 2.20 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.011 | 2.639 | 1.262 | 0.000 | 0.069 | 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 | 117 | 117 | 85 | 135 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 1.15 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 6.535 | 1.288 | 0.000 | 0.070 | 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 | 158 | 158 | 94 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.59 | 1.39 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.044 | 6.498 | 5.665 | 0.000 | 0.069 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 99 | 271 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.43 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.048 | 6.800 | 1.343 | 0.000 | 0.076 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 108 | 234 | 0 | 103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 1.07 | 0.00 | 0.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.062 | 8.266 | 1.321 | 0.000 | 0.075 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 103 | 229 | 0 | 98 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 1.21 | 0.00 | 0.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 8.168 | 1.284 | 0.000 | 0.071 | 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 | 156 | 156 | 98 | 224 | 0 | 93 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 1.44 | 0.00 | 0.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 7.675 | 1.335 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.032 | 6.565 | 1.333 | 0.000 | 0.074 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 3.092 | 1.280 | 0.000 | 0.071 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 125 | 93 | 219 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 1.75 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 3.083 | 1.335 | 0.000 | 0.072 | 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 | 150 | 150 | 92 | 219 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.61 | 1.46 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.041 | 6.833 | 1.292 | 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 | 187 | 187 | 98 | 228 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.52 | 1.22 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.049 | 8.126 | 1.289 | 0.000 | 0.070 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 103 | 295 | 0 | 148 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 1.35 | 0.00 | 0.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.059 | 7.978 | 1.303 | 0.000 | 0.072 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 108 | 160 | 0 | 69 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.50 | 0.73 | 0.00 | 0.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.083 | 6.524 | 1.310 | 0.000 | 0.069 | 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 | 191 | 191 | 103 | 155 | 0 | 64 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.81 | 0.00 | 0.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.049 | 5.606 | 1.326 | 0.000 | 0.068 | 0.000 | 0.000 | 0.000 |