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 | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 791 | 791 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.267 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | No | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 841 | 838 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.351 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 244 | 245 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.995 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 253 | 263 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.009 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 0 | 310 | 58 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 8.16 | 1.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.943 | 0.111 | 0.000 | 3.123 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 102 | 337 | 119 | 163 | 127 | 0 | 188 | 166 |
N.S. |
1 | 0.96 | 3.18 | 1.12 | 1.54 | 1.20 | 0.00 | 1.77 | 1.57 |
time (sec) |
N/A | 0.687 | 1.158 | 0.488 | 0.262 | 0.289 | 0.000 | 0.300 | 18.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 87 | 181 | 81 | 127 | 105 | 0 | 154 | 126 |
N.S. |
1 | 1.01 | 2.10 | 0.94 | 1.48 | 1.22 | 0.00 | 1.79 | 1.47 |
time (sec) |
N/A | 0.626 | 0.803 | 0.400 | 0.215 | 0.267 | 0.000 | 0.297 | 17.787 |
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 | 56 | 59 | 75 | 75 | 88 | 89 | 0 | 124 | 94 |
N.S. |
1 | 1.05 | 1.34 | 1.34 | 1.57 | 1.59 | 0.00 | 2.21 | 1.68 |
time (sec) |
N/A | 0.256 | 0.020 | 0.280 | 0.237 | 0.268 | 0.000 | 0.290 | 16.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 43 | 57 | 73 | 79 | 0 | 84 | 100 |
N.S. |
1 | 1.00 | 1.34 | 1.78 | 2.28 | 2.47 | 0.00 | 2.62 | 3.12 |
time (sec) |
N/A | 0.395 | 0.008 | 0.227 | 0.240 | 0.261 | 0.000 | 0.283 | 15.947 |
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 | 32 | 32 | 46 | 48 | 58 | 51 | 0 | 79 | 100 |
N.S. |
1 | 1.00 | 1.44 | 1.50 | 1.81 | 1.59 | 0.00 | 2.47 | 3.12 |
time (sec) |
N/A | 0.350 | 0.014 | 0.165 | 0.215 | 0.283 | 0.000 | 0.283 | 16.229 |
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 | 47 | 50 | 44 | 42 | 55 | 38 | 0 | 93 | 50 |
N.S. |
1 | 1.06 | 0.94 | 0.89 | 1.17 | 0.81 | 0.00 | 1.98 | 1.06 |
time (sec) |
N/A | 0.482 | 0.066 | 0.166 | 0.225 | 0.242 | 0.000 | 0.287 | 15.539 |
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 | 78 | 65 | 54 | 79 | 56 | 0 | 124 | 84 |
N.S. |
1 | 1.01 | 0.84 | 0.70 | 1.03 | 0.73 | 0.00 | 1.61 | 1.09 |
time (sec) |
N/A | 0.542 | 0.125 | 0.246 | 0.255 | 0.258 | 0.000 | 0.293 | 15.437 |
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 | 97 | 93 | 75 | 67 | 101 | 74 | 0 | 156 | 184 |
N.S. |
1 | 0.96 | 0.77 | 0.69 | 1.04 | 0.76 | 0.00 | 1.61 | 1.90 |
time (sec) |
N/A | 0.576 | 0.162 | 0.315 | 0.232 | 0.259 | 0.000 | 0.287 | 18.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 169 | 160 | 391 | 173 | 278 | 165 | 0 | 246 | 224 |
N.S. |
1 | 0.95 | 2.31 | 1.02 | 1.64 | 0.98 | 0.00 | 1.46 | 1.33 |
time (sec) |
N/A | 1.025 | 1.342 | 0.576 | 0.259 | 0.272 | 0.000 | 0.335 | 18.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 137 | 339 | 150 | 230 | 145 | 0 | 212 | 183 |
N.S. |
1 | 0.99 | 2.46 | 1.09 | 1.67 | 1.05 | 0.00 | 1.54 | 1.33 |
time (sec) |
N/A | 0.914 | 0.960 | 0.510 | 0.278 | 0.265 | 0.000 | 0.326 | 18.168 |
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 | 103 | 92 | 63 | 120 | 167 | 125 | 0 | 178 | 145 |
N.S. |
1 | 0.89 | 0.61 | 1.17 | 1.62 | 1.21 | 0.00 | 1.73 | 1.41 |
time (sec) |
N/A | 0.557 | 0.248 | 0.417 | 0.223 | 0.265 | 0.000 | 0.323 | 17.739 |
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 | 82 | 82 | 53 | 114 | 142 | 119 | 0 | 154 | 162 |
N.S. |
1 | 1.00 | 0.65 | 1.39 | 1.73 | 1.45 | 0.00 | 1.88 | 1.98 |
time (sec) |
N/A | 0.582 | 0.534 | 0.338 | 0.240 | 0.265 | 0.000 | 0.316 | 15.421 |
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 | 73 | 73 | 143 | 88 | 105 | 108 | 0 | 157 | 161 |
N.S. |
1 | 1.00 | 1.96 | 1.21 | 1.44 | 1.48 | 0.00 | 2.15 | 2.21 |
time (sec) |
N/A | 0.541 | 1.474 | 0.272 | 0.227 | 0.272 | 0.000 | 0.314 | 15.368 |
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 | 88 | 88 | 96 | 73 | 101 | 79 | 0 | 145 | 141 |
N.S. |
1 | 1.00 | 1.09 | 0.83 | 1.15 | 0.90 | 0.00 | 1.65 | 1.60 |
time (sec) |
N/A | 0.570 | 0.378 | 0.189 | 0.265 | 0.271 | 0.000 | 0.308 | 15.719 |
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 | 102 | 91 | 84 | 60 | 110 | 70 | 0 | 142 | 98 |
N.S. |
1 | 0.89 | 0.82 | 0.59 | 1.08 | 0.69 | 0.00 | 1.39 | 0.96 |
time (sec) |
N/A | 0.658 | 0.307 | 0.257 | 0.254 | 0.262 | 0.000 | 0.298 | 15.597 |
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 | 135 | 136 | 86 | 75 | 144 | 90 | 0 | 176 | 134 |
N.S. |
1 | 1.01 | 0.64 | 0.56 | 1.07 | 0.67 | 0.00 | 1.30 | 0.99 |
time (sec) |
N/A | 0.842 | 0.221 | 0.326 | 0.238 | 0.269 | 0.000 | 0.323 | 16.193 |
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 | 160 | 151 | 108 | 94 | 178 | 110 | 0 | 210 | 247 |
N.S. |
1 | 0.94 | 0.68 | 0.59 | 1.11 | 0.69 | 0.00 | 1.31 | 1.54 |
time (sec) |
N/A | 0.889 | 0.234 | 0.332 | 0.255 | 0.255 | 0.000 | 0.330 | 18.850 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 155 | 391 | 196 | 337 | 165 | 0 | 246 | 224 |
N.S. |
1 | 0.95 | 2.40 | 1.20 | 2.07 | 1.01 | 0.00 | 1.51 | 1.37 |
time (sec) |
N/A | 0.710 | 1.872 | 0.612 | 0.246 | 0.262 | 0.000 | 0.348 | 18.802 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 125 | 110 | 81 | 175 | 262 | 145 | 0 | 212 | 185 |
N.S. |
1 | 0.88 | 0.65 | 1.40 | 2.10 | 1.16 | 0.00 | 1.70 | 1.48 |
time (sec) |
N/A | 0.394 | 0.345 | 0.500 | 0.237 | 0.262 | 0.000 | 0.337 | 18.502 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 117 | 70 | 172 | 212 | 141 | 0 | 189 | 209 |
N.S. |
1 | 1.05 | 0.63 | 1.55 | 1.91 | 1.27 | 0.00 | 1.70 | 1.88 |
time (sec) |
N/A | 0.775 | 1.089 | 0.430 | 0.211 | 0.291 | 0.000 | 0.339 | 16.033 |
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 | 108 | 110 | 208 | 137 | 165 | 137 | 0 | 192 | 207 |
N.S. |
1 | 1.02 | 1.93 | 1.27 | 1.53 | 1.27 | 0.00 | 1.78 | 1.92 |
time (sec) |
N/A | 0.761 | 3.348 | 0.392 | 0.253 | 0.289 | 0.000 | 0.336 | 16.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 116 | 272 | 122 | 140 | 127 | 0 | 192 | 197 |
N.S. |
1 | 0.99 | 2.32 | 1.04 | 1.20 | 1.09 | 0.00 | 1.64 | 1.68 |
time (sec) |
N/A | 0.783 | 2.103 | 0.328 | 0.258 | 0.264 | 0.000 | 0.336 | 15.888 |
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 | 125 | 131 | 113 | 91 | 148 | 102 | 0 | 180 | 178 |
N.S. |
1 | 1.05 | 0.90 | 0.73 | 1.18 | 0.82 | 0.00 | 1.44 | 1.42 |
time (sec) |
N/A | 0.815 | 0.523 | 0.296 | 0.235 | 0.279 | 0.000 | 0.332 | 16.570 |
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 | 124 | 109 | 102 | 78 | 167 | 90 | 0 | 176 | 134 |
N.S. |
1 | 0.88 | 0.82 | 0.63 | 1.35 | 0.73 | 0.00 | 1.42 | 1.08 |
time (sec) |
N/A | 0.557 | 0.425 | 0.268 | 0.232 | 0.250 | 0.000 | 0.327 | 16.742 |
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 | 176 | 182 | 108 | 93 | 213 | 110 | 0 | 210 | 247 |
N.S. |
1 | 1.03 | 0.61 | 0.53 | 1.21 | 0.62 | 0.00 | 1.19 | 1.40 |
time (sec) |
N/A | 1.129 | 0.276 | 0.333 | 0.253 | 0.265 | 0.000 | 0.328 | 19.189 |
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 | 201 | 197 | 134 | 112 | 262 | 130 | 0 | 244 | 285 |
N.S. |
1 | 0.98 | 0.67 | 0.56 | 1.30 | 0.65 | 0.00 | 1.21 | 1.42 |
time (sec) |
N/A | 1.181 | 0.292 | 0.417 | 0.250 | 0.253 | 0.000 | 0.345 | 19.405 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 116 | 100 | 167 | 368 | 170 | 0 | 182 | 152 |
N.S. |
1 | 0.89 | 0.76 | 1.27 | 2.81 | 1.30 | 0.00 | 1.39 | 1.16 |
time (sec) |
N/A | 0.806 | 0.742 | 0.292 | 0.244 | 0.273 | 0.000 | 0.314 | 16.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 102 | 76 | 122 | 282 | 156 | 0 | 156 | 119 |
N.S. |
1 | 0.94 | 0.70 | 1.13 | 2.61 | 1.44 | 0.00 | 1.44 | 1.10 |
time (sec) |
N/A | 0.759 | 0.455 | 0.240 | 0.221 | 0.259 | 0.000 | 0.299 | 16.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 63 | 47 | 93 | 196 | 127 | 0 | 109 | 79 |
N.S. |
1 | 1.02 | 0.76 | 1.50 | 3.16 | 2.05 | 0.00 | 1.76 | 1.27 |
time (sec) |
N/A | 0.585 | 0.514 | 0.184 | 0.241 | 0.263 | 0.000 | 0.305 | 16.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 106 | 53 | 99 | 74 | 0 | 70 | 41 |
N.S. |
1 | 1.00 | 2.41 | 1.20 | 2.25 | 1.68 | 0.00 | 1.59 | 0.93 |
time (sec) |
N/A | 0.348 | 0.622 | 0.117 | 0.233 | 0.291 | 0.000 | 0.291 | 15.848 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 76 | 28 | 73 | 44 | 0 | 44 | 32 |
N.S. |
1 | 1.00 | 2.17 | 0.80 | 2.09 | 1.26 | 0.00 | 1.26 | 0.91 |
time (sec) |
N/A | 0.416 | 0.331 | 0.135 | 0.342 | 0.251 | 0.000 | 0.277 | 16.010 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 61 | 76 | 43 | 143 | 63 | 0 | 79 | 65 |
N.S. |
1 | 1.02 | 1.27 | 0.72 | 2.38 | 1.05 | 0.00 | 1.32 | 1.08 |
time (sec) |
N/A | 0.559 | 0.368 | 0.165 | 0.317 | 0.243 | 0.000 | 0.283 | 15.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 91 | 197 | 61 | 225 | 81 | 0 | 123 | 107 |
N.S. |
1 | 0.93 | 2.01 | 0.62 | 2.30 | 0.83 | 0.00 | 1.26 | 1.09 |
time (sec) |
N/A | 0.636 | 0.830 | 0.198 | 0.323 | 0.248 | 0.000 | 0.282 | 16.175 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 109 | 249 | 78 | 310 | 97 | 0 | 151 | 138 |
N.S. |
1 | 0.89 | 2.04 | 0.64 | 2.54 | 0.80 | 0.00 | 1.24 | 1.13 |
time (sec) |
N/A | 0.670 | 0.961 | 0.230 | 0.333 | 0.262 | 0.000 | 0.282 | 17.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 154 | 130 | 160 | 336 | 228 | 0 | 198 | 166 |
N.S. |
1 | 0.99 | 0.83 | 1.03 | 2.15 | 1.46 | 0.00 | 1.27 | 1.06 |
time (sec) |
N/A | 1.074 | 1.695 | 0.288 | 0.215 | 0.262 | 0.000 | 0.324 | 15.955 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 117 | 119 | 126 | 244 | 195 | 0 | 151 | 120 |
N.S. |
1 | 1.08 | 1.10 | 1.17 | 2.26 | 1.81 | 0.00 | 1.40 | 1.11 |
time (sec) |
N/A | 0.908 | 0.983 | 0.224 | 0.220 | 0.262 | 0.000 | 0.298 | 16.003 |
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 | 82 | 57 | 74 | 145 | 129 | 0 | 112 | 74 |
N.S. |
1 | 1.04 | 0.72 | 0.94 | 1.84 | 1.63 | 0.00 | 1.42 | 0.94 |
time (sec) |
N/A | 0.672 | 0.345 | 0.142 | 0.246 | 0.248 | 0.000 | 0.292 | 15.822 |
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 | 62 | 62 | 43 | 42 | 93 | 58 | 0 | 60 | 45 |
N.S. |
1 | 1.00 | 0.69 | 0.68 | 1.50 | 0.94 | 0.00 | 0.97 | 0.73 |
time (sec) |
N/A | 0.327 | 0.063 | 0.119 | 0.220 | 0.249 | 0.000 | 0.293 | 15.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 74 | 153 | 49 | 120 | 94 | 0 | 85 | 65 |
N.S. |
1 | 1.06 | 2.19 | 0.70 | 1.71 | 1.34 | 0.00 | 1.21 | 0.93 |
time (sec) |
N/A | 0.570 | 0.587 | 0.144 | 0.307 | 0.250 | 0.000 | 0.304 | 15.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 106 | 245 | 73 | 191 | 123 | 0 | 121 | 109 |
N.S. |
1 | 1.08 | 2.50 | 0.74 | 1.95 | 1.26 | 0.00 | 1.23 | 1.11 |
time (sec) |
N/A | 0.800 | 0.884 | 0.205 | 0.326 | 0.252 | 0.000 | 0.311 | 15.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 142 | 315 | 88 | 283 | 138 | 0 | 164 | 154 |
N.S. |
1 | 0.99 | 2.20 | 0.62 | 1.98 | 0.97 | 0.00 | 1.15 | 1.08 |
time (sec) |
N/A | 0.929 | 1.192 | 0.232 | 0.324 | 0.257 | 0.000 | 0.299 | 15.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 162 | 369 | 106 | 372 | 157 | 0 | 192 | 187 |
N.S. |
1 | 0.95 | 2.17 | 0.62 | 2.19 | 0.92 | 0.00 | 1.13 | 1.10 |
time (sec) |
N/A | 0.982 | 1.326 | 0.274 | 0.311 | 0.264 | 0.000 | 0.296 | 15.900 |
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 | 202 | 209 | 192 | 175 | 377 | 295 | 0 | 233 | 216 |
N.S. |
1 | 1.03 | 0.95 | 0.87 | 1.87 | 1.46 | 0.00 | 1.15 | 1.07 |
time (sec) |
N/A | 1.460 | 1.893 | 0.350 | 0.219 | 0.269 | 0.000 | 0.344 | 15.727 |
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 | 156 | 173 | 143 | 145 | 286 | 256 | 0 | 186 | 168 |
N.S. |
1 | 1.11 | 0.92 | 0.93 | 1.83 | 1.64 | 0.00 | 1.19 | 1.08 |
time (sec) |
N/A | 1.254 | 1.425 | 0.284 | 0.221 | 0.258 | 0.000 | 0.329 | 15.905 |
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 | 125 | 134 | 107 | 92 | 187 | 183 | 0 | 147 | 124 |
N.S. |
1 | 1.07 | 0.86 | 0.74 | 1.50 | 1.46 | 0.00 | 1.18 | 0.99 |
time (sec) |
N/A | 1.015 | 0.746 | 0.164 | 0.241 | 0.242 | 0.000 | 0.334 | 15.697 |
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 | 102 | 104 | 70 | 56 | 115 | 93 | 0 | 75 | 66 |
N.S. |
1 | 1.02 | 0.69 | 0.55 | 1.13 | 0.91 | 0.00 | 0.74 | 0.65 |
time (sec) |
N/A | 0.657 | 0.293 | 0.150 | 0.242 | 0.237 | 0.000 | 0.309 | 15.809 |
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 | 102 | 99 | 63 | 56 | 115 | 93 | 0 | 75 | 66 |
N.S. |
1 | 0.97 | 0.62 | 0.55 | 1.13 | 0.91 | 0.00 | 0.74 | 0.65 |
time (sec) |
N/A | 0.465 | 0.836 | 0.148 | 0.217 | 0.242 | 0.000 | 0.314 | 15.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 118 | 241 | 69 | 160 | 138 | 0 | 121 | 133 |
N.S. |
1 | 1.09 | 2.23 | 0.64 | 1.48 | 1.28 | 0.00 | 1.12 | 1.23 |
time (sec) |
N/A | 0.787 | 1.053 | 0.161 | 0.343 | 0.251 | 0.000 | 0.312 | 15.916 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 152 | 365 | 89 | 231 | 173 | 0 | 157 | 155 |
N.S. |
1 | 1.12 | 2.68 | 0.65 | 1.70 | 1.27 | 0.00 | 1.15 | 1.14 |
time (sec) |
N/A | 1.083 | 1.610 | 0.238 | 0.328 | 0.250 | 0.000 | 0.313 | 15.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 194 | 435 | 107 | 322 | 190 | 0 | 200 | 204 |
N.S. |
1 | 1.04 | 2.33 | 0.57 | 1.72 | 1.02 | 0.00 | 1.07 | 1.09 |
time (sec) |
N/A | 1.263 | 1.637 | 0.260 | 0.337 | 0.256 | 0.000 | 0.330 | 15.915 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 228 | 115 | 152 | 0 | 139 | 0 | 0 | 626 |
N.S. |
1 | 0.99 | 0.50 | 0.66 | 0.00 | 0.60 | 0.00 | 0.00 | 2.72 |
time (sec) |
N/A | 1.312 | 5.288 | 0.727 | 0.000 | 0.267 | 0.000 | 0.000 | 27.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 98 | 130 | 0 | 122 | 0 | 0 | 512 |
N.S. |
1 | 1.00 | 0.52 | 0.70 | 0.00 | 0.65 | 0.00 | 0.00 | 2.74 |
time (sec) |
N/A | 1.075 | 0.742 | 0.740 | 0.000 | 0.275 | 0.000 | 0.000 | 26.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 146 | 81 | 108 | 0 | 105 | 0 | 0 | 407 |
N.S. |
1 | 1.01 | 0.56 | 0.75 | 0.00 | 0.73 | 0.00 | 0.00 | 2.83 |
time (sec) |
N/A | 0.900 | 0.508 | 0.706 | 0.000 | 0.276 | 0.000 | 0.000 | 20.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 112 | 80 | 80 | 0 | 87 | 0 | 0 | 212 |
N.S. |
1 | 1.11 | 0.79 | 0.79 | 0.00 | 0.86 | 0.00 | 0.00 | 2.10 |
time (sec) |
N/A | 0.689 | 0.556 | 0.631 | 0.000 | 0.260 | 0.000 | 0.000 | 21.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 43 | 55 | 0 | 66 | 0 | 0 | 159 |
N.S. |
1 | 1.00 | 0.69 | 0.89 | 0.00 | 1.06 | 0.00 | 0.00 | 2.56 |
time (sec) |
N/A | 0.328 | 0.241 | 0.635 | 0.000 | 0.263 | 0.000 | 0.000 | 17.739 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 76 | 96 | 147 | 235 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.15 | 1.45 | 2.23 | 3.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.538 | 0.418 | 0.548 | 0.378 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 83 | 296 | 939 | 261 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.22 | 4.35 | 13.81 | 3.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.511 | 0.273 | 1.386 | 0.445 | 0.305 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 109 | 117 | 332 | 1851 | 308 | 0 | 0 | 0 |
N.S. |
1 | 0.93 | 1.00 | 2.84 | 15.82 | 2.63 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.684 | 0.265 | 1.452 | 0.551 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 150 | 70 | 366 | 2981 | 346 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.44 | 2.29 | 18.63 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.863 | 0.126 | 1.529 | 0.697 | 0.309 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 238 | 113 | 153 | 0 | 145 | 0 | 0 | 720 |
N.S. |
1 | 1.02 | 0.48 | 0.65 | 0.00 | 0.62 | 0.00 | 0.00 | 3.08 |
time (sec) |
N/A | 1.422 | 3.769 | 0.890 | 0.000 | 0.289 | 0.000 | 0.000 | 27.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 197 | 100 | 131 | 0 | 127 | 0 | 0 | 596 |
N.S. |
1 | 1.04 | 0.53 | 0.69 | 0.00 | 0.67 | 0.00 | 0.00 | 3.15 |
time (sec) |
N/A | 1.216 | 0.481 | 0.778 | 0.000 | 0.261 | 0.000 | 0.000 | 25.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 146 | 82 | 109 | 0 | 108 | 0 | 0 | 479 |
N.S. |
1 | 1.06 | 0.59 | 0.79 | 0.00 | 0.78 | 0.00 | 0.00 | 3.47 |
time (sec) |
N/A | 0.886 | 0.256 | 0.745 | 0.000 | 0.260 | 0.000 | 0.000 | 21.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 99 | 62 | 81 | 0 | 89 | 0 | 0 | 213 |
N.S. |
1 | 0.98 | 0.61 | 0.80 | 0.00 | 0.88 | 0.00 | 0.00 | 2.11 |
time (sec) |
N/A | 0.477 | 0.184 | 0.729 | 0.000 | 0.258 | 0.000 | 0.000 | 20.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 108 | 102 | 206 | 998 | 314 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.97 | 1.96 | 9.50 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.770 | 0.633 | 0.334 | 0.461 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 92 | 308 | 1801 | 292 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 2.99 | 17.49 | 2.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.758 | 0.402 | 1.725 | 0.614 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 118 | 119 | 333 | 0 | 320 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 1.00 | 2.80 | 0.00 | 2.69 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.794 | 1.624 | 1.702 | 0.000 | 0.318 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 160 | 738 | 367 | 0 | 360 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 4.50 | 2.24 | 0.00 | 2.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.995 | 8.988 | 1.630 | 0.000 | 0.307 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 201 | 1026 | 401 | 0 | 396 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 4.91 | 1.92 | 0.00 | 1.89 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.214 | 9.313 | 1.712 | 0.000 | 0.310 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 290 | 131 | 177 | 0 | 177 | 0 | 0 | 988 |
N.S. |
1 | 1.03 | 0.46 | 0.63 | 0.00 | 0.63 | 0.00 | 0.00 | 3.50 |
time (sec) |
N/A | 1.824 | 0.384 | 0.919 | 0.000 | 0.271 | 0.000 | 0.000 | 29.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-1) | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 249 | 117 | 155 | 0 | 157 | 0 | 0 | 855 |
N.S. |
1 | 1.05 | 0.49 | 0.65 | 0.00 | 0.66 | 0.00 | 0.00 | 3.61 |
time (sec) |
N/A | 1.580 | 4.800 | 198.819 | 0.000 | 0.287 | 0.000 | 0.000 | 26.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 180 | 96 | 133 | 0 | 136 | 0 | 0 | 723 |
N.S. |
1 | 1.03 | 0.55 | 0.76 | 0.00 | 0.78 | 0.00 | 0.00 | 4.13 |
time (sec) |
N/A | 1.074 | 0.806 | 72.176 | 0.000 | 0.277 | 0.000 | 0.000 | 28.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 133 | 79 | 111 | 0 | 115 | 0 | 0 | 590 |
N.S. |
1 | 0.96 | 0.57 | 0.80 | 0.00 | 0.83 | 0.00 | 0.00 | 4.28 |
time (sec) |
N/A | 0.625 | 0.465 | 21.638 | 0.000 | 0.258 | 0.000 | 0.000 | 20.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 150 | 128 | 211 | 1396 | 378 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 0.90 | 1.49 | 9.83 | 2.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.949 | 1.822 | 2.803 | 0.409 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 143 | 147 | 117 | 330 | 2780 | 386 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.82 | 2.31 | 19.44 | 2.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.038 | 3.901 | 16.552 | 0.524 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 151 | 159 | 344 | 0 | 348 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.03 | 2.23 | 0.00 | 2.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.070 | 1.100 | 59.646 | 0.000 | 0.298 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 164 | 169 | 121 | 369 | 0 | 380 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.74 | 2.25 | 0.00 | 2.32 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.123 | 3.903 | 196.435 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 212 | 366 | 403 | 0 | 420 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.75 | 1.93 | 0.00 | 2.01 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.376 | 0.913 | 0.403 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 253 | 416 | 437 | 0 | 460 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.64 | 1.72 | 0.00 | 1.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.604 | 1.174 | 0.440 | 0.000 | 0.317 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 243 | 281 | 183 | 405 | 0 | 465 | 0 | 321 | 0 |
N.S. |
1 | 1.16 | 0.75 | 1.67 | 0.00 | 1.91 | 0.00 | 1.32 | 0.00 |
time (sec) |
N/A | 1.853 | 0.852 | 0.983 | 0.000 | 0.302 | 0.000 | 1.425 | 0.000 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 202 | 226 | 140 | 359 | 0 | 432 | 0 | 252 | 0 |
N.S. |
1 | 1.12 | 0.69 | 1.78 | 0.00 | 2.14 | 0.00 | 1.25 | 0.00 |
time (sec) |
N/A | 1.411 | 0.374 | 0.908 | 0.000 | 0.297 | 0.000 | 1.398 | 0.000 |
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 | 159 | 174 | 123 | 313 | 0 | 397 | 0 | 229 | 0 |
N.S. |
1 | 1.09 | 0.77 | 1.97 | 0.00 | 2.50 | 0.00 | 1.44 | 0.00 |
time (sec) |
N/A | 1.066 | 0.521 | 0.853 | 0.000 | 0.284 | 0.000 | 1.313 | 0.000 |
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 | 118 | 125 | 106 | 267 | 0 | 352 | 0 | 165 | 0 |
N.S. |
1 | 1.06 | 0.90 | 2.26 | 0.00 | 2.98 | 0.00 | 1.40 | 0.00 |
time (sec) |
N/A | 0.716 | 0.394 | 0.795 | 0.000 | 0.288 | 0.000 | 1.157 | 0.000 |
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 | 78 | 78 | 88 | 194 | 0 | 287 | 0 | 131 | 0 |
N.S. |
1 | 1.00 | 1.13 | 2.49 | 0.00 | 3.68 | 0.00 | 1.68 | 0.00 |
time (sec) |
N/A | 0.351 | 0.232 | 0.724 | 0.000 | 0.300 | 0.000 | 1.194 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 92 | 203 | 699 | 307 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.01 | 2.23 | 7.68 | 3.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.550 | 0.930 | 0.433 | 0.652 | 0.723 | 0.000 | 0.000 | 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 | 119 | 128 | 115 | 317 | 0 | 458 | 0 | 365 | 0 |
N.S. |
1 | 1.08 | 0.97 | 2.66 | 0.00 | 3.85 | 0.00 | 3.07 | 0.00 |
time (sec) |
N/A | 0.794 | 0.323 | 1.862 | 0.000 | 0.907 | 0.000 | 1.920 | 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 | 165 | 177 | 135 | 651 | 0 | 506 | 0 | 621 | 0 |
N.S. |
1 | 1.07 | 0.82 | 3.95 | 0.00 | 3.07 | 0.00 | 3.76 | 0.00 |
time (sec) |
N/A | 1.124 | 0.641 | 1.757 | 0.000 | 1.372 | 0.000 | 2.049 | 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 | 206 | 230 | 150 | 685 | 0 | 539 | 0 | 818 | 0 |
N.S. |
1 | 1.12 | 0.73 | 3.33 | 0.00 | 2.62 | 0.00 | 3.97 | 0.00 |
time (sec) |
N/A | 1.454 | 0.665 | 1.780 | 0.000 | 1.408 | 0.000 | 2.172 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 261 | 287 | 204 | 423 | 0 | 539 | 0 | 362 | 0 |
N.S. |
1 | 1.10 | 0.78 | 1.62 | 0.00 | 2.07 | 0.00 | 1.39 | 0.00 |
time (sec) |
N/A | 1.829 | 0.896 | 1.040 | 0.000 | 0.332 | 0.000 | 1.779 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 216 | 232 | 160 | 377 | 0 | 504 | 0 | 277 | 0 |
N.S. |
1 | 1.07 | 0.74 | 1.75 | 0.00 | 2.33 | 0.00 | 1.28 | 0.00 |
time (sec) |
N/A | 1.459 | 2.967 | 0.971 | 0.000 | 0.299 | 0.000 | 1.655 | 0.000 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 171 | 180 | 141 | 331 | 0 | 459 | 0 | 247 | 0 |
N.S. |
1 | 1.05 | 0.82 | 1.94 | 0.00 | 2.68 | 0.00 | 1.44 | 0.00 |
time (sec) |
N/A | 1.099 | 1.878 | 0.941 | 0.000 | 0.313 | 0.000 | 1.725 | 0.000 |
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 | 118 | 121 | 125 | 259 | 0 | 386 | 0 | 187 | 0 |
N.S. |
1 | 1.03 | 1.06 | 2.19 | 0.00 | 3.27 | 0.00 | 1.58 | 0.00 |
time (sec) |
N/A | 0.736 | 0.521 | 0.885 | 0.000 | 0.300 | 0.000 | 1.482 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 127 | 238 | 0 | 367 | 0 | 133 | 0 |
N.S. |
1 | 1.00 | 1.46 | 2.74 | 0.00 | 4.22 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.366 | 0.575 | 0.663 | 0.000 | 0.282 | 0.000 | 1.396 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 133 | 147 | 289 | 0 | 548 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.16 | 2.28 | 0.00 | 4.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.767 | 4.150 | 0.497 | 0.000 | 1.800 | 0.000 | 0.000 | 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 | No | TBD | TBD | TBD | TBD | TBD |
size | 170 | 178 | 169 | 829 | 0 | 609 | 0 | 418 | 0 |
N.S. |
1 | 1.05 | 0.99 | 4.88 | 0.00 | 3.58 | 0.00 | 2.46 | 0.00 |
time (sec) |
N/A | 1.123 | 0.757 | 1.922 | 0.000 | 2.271 | 0.000 | 2.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 221 | 232 | 395 | 991 | 0 | 644 | 0 | 638 | 0 |
N.S. |
1 | 1.05 | 1.79 | 4.48 | 0.00 | 2.91 | 0.00 | 2.89 | 0.00 |
time (sec) |
N/A | 1.534 | 1.606 | 2.053 | 0.000 | 3.315 | 0.000 | 2.137 | 0.000 |