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 | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 67 | 45 | 61 | 51 | 49 | 245 | 41 |
N.S. |
1 | 1.00 | 1.31 | 0.88 | 1.20 | 1.00 | 0.96 | 4.80 | 0.80 |
time (sec) |
N/A | 0.021 | 0.009 | 0.160 | 0.212 | 0.244 | 0.333 | 0.268 | 4.487 |
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 | 50 | 50 | 50 | 47 | 46 | 55 | 54 | 255 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.92 | 1.10 | 1.08 | 5.10 | 0.86 |
time (sec) |
N/A | 0.029 | 0.008 | 0.099 | 0.185 | 0.252 | 0.301 | 0.277 | 4.323 |
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 | 41 | 41 | 57 | 37 | 52 | 43 | 41 | 195 | 33 |
N.S. |
1 | 1.00 | 1.39 | 0.90 | 1.27 | 1.05 | 1.00 | 4.76 | 0.80 |
time (sec) |
N/A | 0.018 | 0.011 | 0.077 | 0.188 | 0.260 | 0.266 | 0.268 | 4.532 |
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 | 40 | 40 | 40 | 38 | 35 | 44 | 46 | 206 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.88 | 1.10 | 1.15 | 5.15 | 0.88 |
time (sec) |
N/A | 0.022 | 0.008 | 0.060 | 0.209 | 0.248 | 0.231 | 0.276 | 4.403 |
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 | 31 | 31 | 47 | 27 | 41 | 34 | 32 | 144 | 26 |
N.S. |
1 | 1.00 | 1.52 | 0.87 | 1.32 | 1.10 | 1.03 | 4.65 | 0.84 |
time (sec) |
N/A | 0.011 | 0.008 | 0.059 | 0.180 | 0.246 | 0.196 | 0.265 | 4.125 |
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 | 25 | 25 | 25 | 23 | 25 | 33 | 27 | 153 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.00 | 1.32 | 1.08 | 6.12 | 0.88 |
time (sec) |
N/A | 0.005 | 0.002 | 0.070 | 0.208 | 0.241 | 0.113 | 0.254 | 4.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 28 | 86 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.00 | 3.07 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.008 | 0.008 | 0.073 | 0.195 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 30 | 35 | 30 | 39 | 26 | 143 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.17 | 1.00 | 1.30 | 0.87 | 4.77 | 0.90 |
time (sec) |
N/A | 0.016 | 0.008 | 0.064 | 0.229 | 0.254 | 0.128 | 0.285 | 4.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 47 | 26 | 36 | 35 | 24 | 140 | 40 |
N.S. |
1 | 1.00 | 1.52 | 0.84 | 1.16 | 1.13 | 0.77 | 4.52 | 1.29 |
time (sec) |
N/A | 0.013 | 0.008 | 0.071 | 0.180 | 0.259 | 0.194 | 0.267 | 4.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 48 | 40 | 50 | 46 | 209 | 39 |
N.S. |
1 | 1.00 | 1.00 | 1.02 | 0.85 | 1.06 | 0.98 | 4.45 | 0.83 |
time (sec) |
N/A | 0.024 | 0.010 | 0.085 | 0.188 | 0.256 | 0.227 | 0.266 | 4.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 57 | 36 | 51 | 43 | 32 | 205 | 60 |
N.S. |
1 | 1.00 | 1.39 | 0.88 | 1.24 | 1.05 | 0.78 | 5.00 | 1.46 |
time (sec) |
N/A | 0.016 | 0.008 | 0.095 | 0.188 | 0.248 | 0.257 | 0.278 | 4.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 80 | 92 | 135 | 98 | 114 | 534 | 85 |
N.S. |
1 | 1.00 | 0.76 | 0.88 | 1.29 | 0.93 | 1.09 | 5.09 | 0.81 |
time (sec) |
N/A | 0.190 | 0.018 | 0.300 | 0.188 | 0.257 | 0.400 | 0.280 | 4.627 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 87 | 164 | 155 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.29 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.331 | 0.473 | 0.191 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 62 | 72 | 118 | 81 | 90 | 335 | 65 |
N.S. |
1 | 1.00 | 0.77 | 0.89 | 1.46 | 1.00 | 1.11 | 4.14 | 0.80 |
time (sec) |
N/A | 0.130 | 0.014 | 0.201 | 0.204 | 0.260 | 0.324 | 0.273 | 4.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 66 | 144 | 134 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 1.40 | 1.30 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.119 | 0.179 | 0.486 | 0.193 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 43 | 49 | 97 | 62 | 60 | 154 | 44 |
N.S. |
1 | 1.00 | 0.80 | 0.91 | 1.80 | 1.15 | 1.11 | 2.85 | 0.81 |
time (sec) |
N/A | 0.065 | 0.010 | 0.166 | 0.196 | 0.253 | 0.234 | 0.276 | 4.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 46 | 116 | 135 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 2.00 | 2.33 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.063 | 0.063 | 0.500 | 0.212 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 114 | 459 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.18 | 4.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.051 | 3.368 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 49 | 145 | 146 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 2.64 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.083 | 0.081 | 0.082 | 0.209 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 57 | 72 | 96 | 79 | 56 | 137 | 145 |
N.S. |
1 | 1.00 | 0.93 | 1.18 | 1.57 | 1.30 | 0.92 | 2.25 | 2.38 |
time (sec) |
N/A | 0.075 | 0.014 | 0.090 | 0.190 | 0.245 | 0.210 | 0.266 | 4.376 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 87 | 184 | 176 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 1.79 | 1.71 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.130 | 0.166 | 0.117 | 0.200 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 82 | 101 | 154 | 97 | 90 | 319 | 196 |
N.S. |
1 | 1.00 | 0.91 | 1.12 | 1.71 | 1.08 | 1.00 | 3.54 | 2.18 |
time (sec) |
N/A | 0.131 | 0.018 | 0.109 | 0.243 | 0.286 | 0.261 | 0.275 | 5.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 117 | 2133 | 289 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 11.47 | 1.55 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.533 | 0.392 | 5.819 | 0.244 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 178 | 737 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.76 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 0.506 | 5.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 88 | 871 | 262 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.63 | 6.27 | 1.88 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.306 | 0.234 | 4.399 | 0.203 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 143 | 681 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 4.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.308 | 3.880 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 68 | 2910 | 215 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 30.63 | 2.26 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.142 | 0.110 | 3.285 | 0.197 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 79 | 168 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.131 | 0.087 | 0.399 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 156 | 536 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 3.57 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 0.061 | 3.673 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 72 | 718 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 9.09 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.146 | 0.101 | 4.614 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 79 | 3498 | 252 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 36.82 | 2.65 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.125 | 3.316 | 0.223 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 142 | 840 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 5.45 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 0.163 | 6.865 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 141 | 141 | 118 | 657 | 342 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.84 | 4.66 | 2.43 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 0.169 | 4.726 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 864 | 869 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.27 | 5.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.028 | 5.734 | 8.678 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
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 | 245 | 245 | 213 | 245 | 276 | 247 | 427 | 1473 | 296 |
N.S. |
1 | 1.00 | 0.87 | 1.00 | 1.13 | 1.01 | 1.74 | 6.01 | 1.21 |
time (sec) |
N/A | 0.132 | 0.067 | 0.606 | 0.205 | 0.247 | 0.640 | 0.310 | 4.789 |
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 | 169 | 169 | 150 | 167 | 198 | 177 | 282 | 932 | 190 |
N.S. |
1 | 1.00 | 0.89 | 0.99 | 1.17 | 1.05 | 1.67 | 5.51 | 1.12 |
time (sec) |
N/A | 0.096 | 0.043 | 0.482 | 0.196 | 0.249 | 0.468 | 0.306 | 4.570 |
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 | 110 | 110 | 98 | 105 | 131 | 118 | 182 | 529 | 115 |
N.S. |
1 | 1.00 | 0.89 | 0.95 | 1.19 | 1.07 | 1.65 | 4.81 | 1.05 |
time (sec) |
N/A | 0.102 | 0.033 | 0.485 | 0.205 | 0.254 | 0.357 | 0.283 | 4.398 |
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 | 57 | 57 | 69 | 55 | 65 | 64 | 87 | 268 | 60 |
N.S. |
1 | 1.00 | 1.21 | 0.96 | 1.14 | 1.12 | 1.53 | 4.70 | 1.05 |
time (sec) |
N/A | 0.050 | 0.019 | 0.085 | 0.201 | 0.262 | 0.259 | 0.277 | 4.248 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 390 | 390 | 671 | 358 | 406 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.72 | 0.92 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.735 | 1.286 | 1.046 | 0.378 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 590 | 590 | 755 | 1926 | 550 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.28 | 3.26 | 0.93 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.653 | 5.781 | 1.213 | 0.414 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | B | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 657 | 657 | 1559 | 3791 | 1087 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.37 | 5.77 | 1.65 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.748 | 9.814 | 1.477 | 0.418 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 14 | 16 | 16 | 15 | 16 | 16 |
N.S. |
1 | 1.00 | 1.12 | 0.88 | 1.00 | 1.00 | 0.94 | 1.00 | 1.00 |
time (sec) |
N/A | 0.018 | 4.335 | 0.387 | 0.587 | 0.252 | 0.567 | 0.299 | 4.242 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 18 | 14 | 16 | 16 | 15 | 16 | 16 |
N.S. |
1 | 1.00 | 1.12 | 0.88 | 1.00 | 1.00 | 0.94 | 1.00 | 1.00 |
time (sec) |
N/A | 0.019 | 3.127 | 0.293 | 0.641 | 0.260 | 0.412 | 0.293 | 4.834 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 119 | 0 | 153 | 354 | 0 | 79 | 0 |
N.S. |
1 | 1.00 | 1.92 | 0.00 | 2.47 | 5.71 | 0.00 | 1.27 | 0.00 |
time (sec) |
N/A | 0.070 | 0.087 | 0.000 | 0.223 | 0.279 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 226 | 0 | 223 | 728 | 0 | 143 | 0 |
N.S. |
1 | 1.00 | 1.77 | 0.00 | 1.74 | 5.69 | 0.00 | 1.12 | 0.00 |
time (sec) |
N/A | 0.242 | 0.197 | 0.000 | 0.293 | 0.300 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 200 | 200 | 329 | 0 | 401 | 1278 | 0 | 226 | 0 |
N.S. |
1 | 1.00 | 1.64 | 0.00 | 2.00 | 6.39 | 0.00 | 1.13 | 0.00 |
time (sec) |
N/A | 0.753 | 0.386 | 0.000 | 0.296 | 0.341 | 0.000 | 0.309 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 283 | 283 | 431 | 0 | 639 | 2004 | 0 | 357 | 0 |
N.S. |
1 | 1.00 | 1.52 | 0.00 | 2.26 | 7.08 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 0.911 | 0.596 | 0.000 | 0.349 | 0.436 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 125 | 199 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.07 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.070 | 0.789 | 0.484 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 77 | 190 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.53 | 1.32 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.044 | 0.143 | 0.422 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 37 | 37 | 30 | 45 | 63 | 41 | 0 | 58 | 0 |
N.S. |
1 | 1.00 | 0.81 | 1.22 | 1.70 | 1.11 | 0.00 | 1.57 | 0.00 |
time (sec) |
N/A | 0.023 | 0.054 | 0.359 | 0.290 | 0.258 | 0.000 | 0.293 | 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 | 83 | 83 | 45 | 81 | 67 | 61 | 0 | 90 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.98 | 0.81 | 0.73 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.042 | 0.060 | 0.598 | 0.214 | 0.279 | 0.000 | 0.303 | 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 | 124 | 124 | 55 | 100 | 99 | 81 | 0 | 122 | 0 |
N.S. |
1 | 1.00 | 0.44 | 0.81 | 0.80 | 0.65 | 0.00 | 0.98 | 0.00 |
time (sec) |
N/A | 0.081 | 0.059 | 0.584 | 0.215 | 0.251 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 3 | 3 | 3 | 4 | 3 | 11 | 3 | 12 | 3 |
N.S. |
1 | 1.00 | 1.00 | 1.33 | 1.00 | 3.67 | 1.00 | 4.00 | 1.00 |
time (sec) |
N/A | 0.022 | 0.069 | 0.343 | 0.194 | 0.240 | 0.106 | 0.273 | 0.338 |
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 | 12 | 12 | 12 | 13 | 12 | 62 | 15 | 22 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.00 | 5.17 | 1.25 | 1.83 | 1.83 |
time (sec) |
N/A | 0.023 | 0.009 | 0.432 | 0.196 | 0.254 | 0.806 | 0.294 | 4.341 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 61 | 159 | 171 | 63 | 0 | 53 | 201 |
N.S. |
1 | 1.00 | 0.98 | 2.56 | 2.76 | 1.02 | 0.00 | 0.85 | 3.24 |
time (sec) |
N/A | 0.040 | 0.052 | 1.026 | 0.207 | 0.246 | 0.000 | 0.327 | 5.813 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 35 | 59 | 76 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 1.59 | 2.05 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.047 | 0.060 | 0.361 | 0.201 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 8 | 8 | 8 | 13 | 6 | 14 | 5 | 14 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.62 | 0.75 | 1.75 | 0.62 | 1.75 | 2.62 |
time (sec) |
N/A | 0.015 | 0.005 | 0.360 | 0.190 | 0.259 | 0.282 | 0.273 | 4.092 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 44 | 22 | 34 | 29 | 31 | 101 | 21 |
N.S. |
1 | 1.00 | 1.22 | 0.61 | 0.94 | 0.81 | 0.86 | 2.81 | 0.58 |
time (sec) |
N/A | 0.024 | 0.029 | 0.335 | 0.211 | 0.246 | 0.207 | 0.275 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 28 | 80 | 76 | 42 | 0 | 80 | 81 |
N.S. |
1 | 1.00 | 0.74 | 2.11 | 2.00 | 1.11 | 0.00 | 2.11 | 2.13 |
time (sec) |
N/A | 0.015 | 0.031 | 0.355 | 0.232 | 0.264 | 0.000 | 0.317 | 4.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 50 | 37 | 47 | 47 | 88 | 154 | 34 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 0.94 | 0.94 | 1.76 | 3.08 | 0.68 |
time (sec) |
N/A | 0.026 | 0.051 | 0.355 | 0.202 | 0.250 | 0.292 | 0.263 | 4.502 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 43 | 128 | 118 | 66 | 0 | 0 | 112 |
N.S. |
1 | 1.00 | 0.64 | 1.91 | 1.76 | 0.99 | 0.00 | 0.00 | 1.67 |
time (sec) |
N/A | 0.032 | 0.041 | 0.365 | 0.205 | 0.254 | 0.000 | 0.000 | 4.297 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 81 | 106 | 106 | 112 | 153 | 512 | 134 |
N.S. |
1 | 1.00 | 0.80 | 1.05 | 1.05 | 1.11 | 1.51 | 5.07 | 1.33 |
time (sec) |
N/A | 0.108 | 0.031 | 0.118 | 0.204 | 0.255 | 0.444 | 0.297 | 4.523 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 92 | 85 | 79 | 84 | 117 | 360 | 98 |
N.S. |
1 | 1.00 | 1.18 | 1.09 | 1.01 | 1.08 | 1.50 | 4.62 | 1.26 |
time (sec) |
N/A | 0.093 | 0.020 | 0.102 | 0.210 | 0.266 | 0.376 | 0.291 | 4.654 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 56 | 63 | 61 | 66 | 76 | 259 | 62 |
N.S. |
1 | 1.00 | 0.86 | 0.97 | 0.94 | 1.02 | 1.17 | 3.98 | 0.95 |
time (sec) |
N/A | 0.065 | 0.019 | 0.094 | 0.199 | 0.248 | 0.321 | 0.281 | 4.964 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 43 | 30 | 31 | 48 | 41 | 197 | 42 |
N.S. |
1 | 1.00 | 1.23 | 0.86 | 0.89 | 1.37 | 1.17 | 5.63 | 1.20 |
time (sec) |
N/A | 0.013 | 0.013 | 0.069 | 0.202 | 0.249 | 0.179 | 0.274 | 4.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 259 | 68 | 128 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.82 | 0.74 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.084 | 0.123 | 0.343 | 0.201 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 55 | 61 | 54 | 68 | 144 | 259 | 62 |
N.S. |
1 | 1.00 | 0.86 | 0.95 | 0.84 | 1.06 | 2.25 | 4.05 | 0.97 |
time (sec) |
N/A | 0.050 | 0.044 | 0.098 | 0.205 | 0.262 | 0.520 | 0.286 | 4.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 76 | 78 | 85 | 111 | 410 | 360 | 247 |
N.S. |
1 | 1.00 | 0.84 | 0.87 | 0.94 | 1.23 | 4.56 | 4.00 | 2.74 |
time (sec) |
N/A | 0.091 | 0.084 | 0.128 | 0.221 | 0.279 | 0.782 | 0.285 | 5.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 210 | 448 | 320 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 1.70 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 1.486 | 0.241 | 0.195 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 204 | 204 | 644 | 350 | 259 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.16 | 1.72 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.226 | 3.586 | 0.188 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 106 | 244 | 202 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 1.79 | 1.49 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.242 | 0.171 | 0.213 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 133 | 139 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 1.64 | 1.72 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.071 | 0.069 | 0.246 | 0.211 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 777 | 866 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.25 | 5.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.078 | 2.449 | 5.624 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 206 | 299 | 244 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.82 | 1.19 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.603 | 0.824 | 0.144 | 0.217 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 370 | 370 | 291 | 386 | 360 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 1.04 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.667 | 1.604 | 0.187 | 0.221 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 673 | 673 | 529 | 426 | 591 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 0.63 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.760 | 0.410 | 0.889 | 0.418 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 185 | 164 | 192 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.54 | 1.37 | 1.60 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.103 | 0.048 | 1.302 | 0.231 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 360 | 507 | 259 | 192 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 1.74 | 0.89 | 0.66 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.396 | 3.764 | 1.165 | 0.213 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 738 | 738 | 843 | 554 | 651 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.75 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.260 | 0.616 | 1.472 | 0.401 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 619 | 619 | 575 | 646 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.635 | 0.448 | 0.407 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 738 | 738 | 719 | 752 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.02 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.878 | 0.487 | 0.391 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 335 | 335 | 596 | 750 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.78 | 2.24 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.526 | 0.581 | 1.383 | 0.000 | 0.000 | 0.000 | 0.000 | 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 | 51 | 51 | 59 | 42 | 41 | 38 | 0 | 164 | 31 |
N.S. |
1 | 1.00 | 1.16 | 0.82 | 0.80 | 0.75 | 0.00 | 3.22 | 0.61 |
time (sec) |
N/A | 0.014 | 0.015 | 0.039 | 0.203 | 0.251 | 0.000 | 0.264 | 4.301 |
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 | 42 | 42 | 52 | 37 | 36 | 31 | 0 | 114 | 26 |
N.S. |
1 | 1.00 | 1.24 | 0.88 | 0.86 | 0.74 | 0.00 | 2.71 | 0.62 |
time (sec) |
N/A | 0.011 | 0.012 | 0.040 | 0.198 | 0.255 | 0.000 | 0.279 | 4.246 |
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 | 22 | 22 | 22 | 27 | 26 | 24 | 0 | 65 | 16 |
N.S. |
1 | 1.00 | 1.00 | 1.23 | 1.18 | 1.09 | 0.00 | 2.95 | 0.73 |
time (sec) |
N/A | 0.006 | 0.017 | 0.038 | 0.209 | 0.264 | 0.000 | 0.274 | 4.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 33 | 66 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.74 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 0.009 | 0.162 | 0.209 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 45 | 32 | 31 | 30 | 92 | 65 | 18 |
N.S. |
1 | 1.00 | 1.80 | 1.28 | 1.24 | 1.20 | 3.68 | 2.60 | 0.72 |
time (sec) |
N/A | 0.011 | 0.015 | 0.048 | 0.201 | 0.252 | 0.552 | 0.278 | 4.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 58 | 37 | 36 | 38 | 160 | 114 | 45 |
N.S. |
1 | 1.00 | 1.38 | 0.88 | 0.86 | 0.90 | 3.81 | 2.71 | 1.07 |
time (sec) |
N/A | 0.011 | 0.017 | 0.043 | 0.195 | 0.276 | 1.281 | 0.268 | 4.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 31 | 35 | 24 | 35 | 121 | 168 | 24 |
N.S. |
1 | 1.00 | 0.82 | 0.92 | 0.63 | 0.92 | 3.18 | 4.42 | 0.63 |
time (sec) |
N/A | 0.013 | 0.012 | 0.043 | 0.189 | 0.275 | 0.994 | 0.270 | 4.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 25 | 30 | 19 | 30 | 0 | 119 | 0 |
N.S. |
1 | 1.00 | 0.81 | 0.97 | 0.61 | 0.97 | 0.00 | 3.84 | 0.00 |
time (sec) |
N/A | 0.011 | 0.011 | 0.038 | 0.195 | 0.257 | 0.000 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 15 | 16 | 24 | 87 | 70 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 0.80 | 1.20 | 4.35 | 3.50 | 0.70 |
time (sec) |
N/A | 0.007 | 0.007 | 0.037 | 0.206 | 0.255 | 0.201 | 0.262 | 3.981 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 24 | 29 | 18 | 36 | 126 | 70 | 22 |
N.S. |
1 | 1.00 | 1.00 | 1.21 | 0.75 | 1.50 | 5.25 | 2.92 | 0.92 |
time (sec) |
N/A | 0.008 | 0.015 | 0.042 | 0.207 | 0.262 | 0.400 | 0.260 | 3.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 26 | 95 | 104 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 3.39 | 3.71 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.018 | 0.015 | 0.181 | 0.216 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 18 | 15 | 23 | 15 | 104 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.79 | 1.21 | 0.79 | 5.47 | 1.37 |
time (sec) |
N/A | 0.005 | 0.001 | 0.147 | 0.201 | 0.257 | 0.084 | 0.281 | 4.150 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 52 | 45 | 147 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.37 | 1.18 | 3.87 | 3.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.019 | 0.039 | 0.285 | 0.275 | 0.257 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 66 | 46 | 62 | 44 | 56 | 188 | 50 |
N.S. |
1 | 1.00 | 1.69 | 1.18 | 1.59 | 1.13 | 1.44 | 4.82 | 1.28 |
time (sec) |
N/A | 0.019 | 0.032 | 0.103 | 0.194 | 0.253 | 0.220 | 0.280 | 4.782 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 42 | 48 | 81 | 86 | 97 | 255 | 114 |
N.S. |
1 | 1.00 | 0.78 | 0.89 | 1.50 | 1.59 | 1.80 | 4.72 | 2.11 |
time (sec) |
N/A | 0.038 | 0.033 | 0.446 | 0.188 | 0.258 | 0.310 | 0.281 | 4.381 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 144 | 43 | 112 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.11 | 1.23 | 3.20 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.026 | 0.030 | 0.453 | 0.198 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 43 | 45 | 53 | 67 | 136 | 198 | 93 |
N.S. |
1 | 1.00 | 0.90 | 0.94 | 1.10 | 1.40 | 2.83 | 4.12 | 1.94 |
time (sec) |
N/A | 0.035 | 0.033 | 0.484 | 0.204 | 0.250 | 0.524 | 0.274 | 4.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 117 | 22 | 58 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 4.68 | 0.88 | 2.32 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.023 | 0.014 | 0.361 | 0.188 | 0.000 | 0.000 | 0.000 | 0.000 |