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 | 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 | 15 | 15 | 17 | 15 | 17 | 28 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.060 | 0.388 | 0.007 | 0.255 | 0.255 | 0.576 | 0.333 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 111 | 0 | 0 | 155 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.055 | 0.409 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 86 | 0 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.033 | 0.302 | 0.000 | 0.000 | 0.077 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.004 | 0.050 | 0.000 | 0.000 | 0.083 | 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 | 15 | 15 | 17 | 15 | 17 | 40 | 12 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.67 | 0.80 | 1.13 | 1.13 |
time (sec) |
N/A | 0.011 | 0.415 | 0.004 | 0.282 | 0.252 | 1.043 | 0.374 | 0.124 |
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 | 15 | 15 | 17 | 15 | 17 | 40 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.67 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.206 | 1.458 | 0.004 | 0.282 | 0.252 | 0.586 | 0.342 | 0.145 |
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 | 15 | 15 | 17 | 15 | 17 | 40 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.67 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.293 | 1.016 | 0.007 | 0.281 | 0.254 | 0.693 | 0.342 | 0.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 164 | 0 | 0 | 158 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 0.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.117 | 0.398 | 0.000 | 0.000 | 0.079 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 138 | 0 | 0 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.359 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 89 | 0 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.90 | 0.00 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.325 | 0.000 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 74 | 0 | 0 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.044 | 0.290 | 0.000 | 0.000 | 0.083 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 0 | 0 | 44 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.007 | 0.040 | 0.000 | 0.000 | 0.081 | 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 | 33 | 33 | 35 | 32 | 34 | 34 | 37 | 34 | 34 |
N.S. |
1 | 1.00 | 1.06 | 0.97 | 1.03 | 1.03 | 1.12 | 1.03 | 1.03 |
time (sec) |
N/A | 0.060 | 0.376 | 0.009 | 0.266 | 0.258 | 9.141 | 0.339 | 0.129 |
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 | 33 | 33 | 35 | 32 | 34 | 34 | 39 | 34 | 34 |
N.S. |
1 | 1.00 | 1.06 | 0.97 | 1.03 | 1.03 | 1.18 | 1.03 | 1.03 |
time (sec) |
N/A | 0.057 | 0.120 | 0.010 | 0.269 | 0.272 | 91.995 | 0.327 | 0.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 26 | 29 | 19 | 19 | 34 | 19 | 19 |
N.S. |
1 | 1.00 | 0.65 | 0.72 | 0.48 | 0.48 | 0.85 | 0.48 | 0.48 |
time (sec) |
N/A | 0.007 | 0.025 | 0.007 | 0.245 | 0.247 | 0.086 | 0.296 | 0.089 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 241 | 517 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.78 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.118 | 0.207 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 179 | 359 | 0 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 1.33 | 0.00 | 0.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.180 | 0.091 | 0.145 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |
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 | 229 | 229 | 128 | 227 | 0 | 114 | 0 | 0 | 209 |
N.S. |
1 | 1.00 | 0.56 | 0.99 | 0.00 | 0.50 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.155 | 0.066 | 0.114 | 0.000 | 0.261 | 0.000 | 0.000 | 0.572 |
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 | 120 | 120 | 82 | 126 | 0 | 71 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 0.68 | 1.05 | 0.00 | 0.59 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.074 | 0.044 | 0.091 | 0.000 | 0.261 | 0.000 | 0.000 | 0.348 |
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 | 41 | 41 | 41 | 52 | 0 | 40 | 0 | 0 | 50 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 0.00 | 0.98 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.028 | 0.015 | 0.068 | 0.000 | 0.287 | 0.000 | 0.000 | 0.220 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 41 | 47 | 0 | 41 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.15 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.095 | 0.027 | 0.069 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 68 | 80 | 0 | 60 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.18 | 0.00 | 0.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 0.075 | 0.092 | 0.000 | 0.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 115 | 174 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 1.05 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.462 | 0.121 | 0.126 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 195 | 343 | 0 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.47 | 0.83 | 0.00 | 0.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.292 | 0.150 | 0.277 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 148 | 228 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.78 | 0.00 | 0.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 0.098 | 0.194 | 0.000 | 0.316 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 131 | 175 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 0.85 | 0.00 | 0.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 0.074 | 0.155 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 89 | 93 | 0 | 107 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 0.84 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.079 | 0.053 | 0.110 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
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 | 62 | 65 | 0 | 68 | 0 | 0 | 53 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.10 | 0.00 | 0.00 | 0.85 |
time (sec) |
N/A | 0.026 | 0.022 | 0.105 | 0.000 | 0.294 | 0.000 | 0.000 | 0.352 |
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 | 15 | 15 | 17 | 15 | 17 | 28 | 12 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.80 | 1.13 | 1.13 |
time (sec) |
N/A | 0.012 | 0.092 | 0.001 | 0.248 | 0.243 | 1.397 | 0.375 | 0.176 |
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 | 15 | 15 | 17 | 15 | 17 | 28 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.028 | 0.285 | 0.006 | 0.255 | 0.251 | 1.635 | 0.359 | 0.245 |
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 | 15 | 15 | 17 | 15 | 17 | 28 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.026 | 0.194 | 0.009 | 0.258 | 0.268 | 2.273 | 0.357 | 0.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 239 | 239 | 219 | 0 | 0 | 248 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.122 | 0.128 | 0.000 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 167 | 0 | 0 | 221 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 0.00 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.103 | 0.245 | 0.000 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 127 | 0 | 0 | 194 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.087 | 0.047 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 86 | 0 | 0 | 154 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.042 | 0.047 | 0.000 | 0.000 | 0.081 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 0 | 0 | 94 | 0 | 0 | 68 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.14 | 0.00 | 0.00 | 1.55 |
time (sec) |
N/A | 0.006 | 0.007 | 0.000 | 0.000 | 0.078 | 0.000 | 0.000 | 0.663 |
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 | 15 | 15 | 17 | 15 | 17 | 39 | 12 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.60 | 0.80 | 1.13 | 1.13 |
time (sec) |
N/A | 0.011 | 0.084 | 0.004 | 0.289 | 0.264 | 2.089 | 0.404 | 0.213 |
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 | 15 | 15 | 17 | 15 | 17 | 39 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.60 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.029 | 0.295 | 0.009 | 0.299 | 0.276 | 2.691 | 0.388 | 0.511 |
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 | 15 | 15 | 17 | 15 | 17 | 39 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.60 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.028 | 0.027 | 0.010 | 0.283 | 0.268 | 3.963 | 0.417 | 0.539 |
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 | 15 | 15 | 17 | 15 | 17 | 40 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.67 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.030 | 0.159 | 0.013 | 0.287 | 0.268 | 1.120 | 0.381 | 0.185 |
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 | 15 | 15 | 17 | 15 | 17 | 28 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.035 | 0.112 | 0.011 | 0.263 | 0.273 | 1.020 | 0.331 | 0.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 36 | 117 | 36 | 39 | 0 | 0 | 41 |
N.S. |
1 | 1.00 | 0.88 | 2.85 | 0.88 | 0.95 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.014 | 0.021 | 0.056 | 0.072 | 0.083 | 0.000 | 0.000 | 0.169 |
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 | 15 | 15 | 17 | 15 | 17 | 17 | 12 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.80 | 1.13 | 1.13 |
time (sec) |
N/A | 0.027 | 0.030 | 0.017 | 0.244 | 0.276 | 3.018 | 0.327 | 0.182 |
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 | 15 | 15 | 17 | 15 | 17 | 28 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.87 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.027 | 0.065 | 0.016 | 0.271 | 0.279 | 38.290 | 0.396 | 0.233 |
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 | 15 | 15 | 17 | 15 | 17 | 39 | 1 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 2.60 | 0.07 | 1.13 | 1.13 |
time (sec) |
N/A | 0.028 | 0.064 | 0.028 | 0.283 | 0.280 | 0.000 | 0.426 | 0.248 |
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 | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.033 | 0.037 | 0.010 | 0.234 | 0.276 | 3.258 | 0.402 | 0.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 207 | 207 | 183 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.094 | 0.100 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 136 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.068 | 0.048 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 91 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.037 | 0.025 | 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 | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.004 | 0.007 | 0.000 | 0.000 | 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 | 15 | 15 | 17 | 15 | 17 | 17 | 12 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.80 | 1.13 | 1.13 |
time (sec) |
N/A | 0.013 | 0.026 | 0.004 | 0.217 | 0.284 | 0.429 | 0.375 | 0.131 |
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 | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.030 | 0.024 | 0.021 | 0.226 | 0.284 | 0.436 | 0.374 | 0.136 |
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 | 15 | 15 | 17 | 15 | 17 | 17 | 14 | 17 | 17 |
N.S. |
1 | 1.00 | 1.13 | 1.00 | 1.13 | 1.13 | 0.93 | 1.13 | 1.13 |
time (sec) |
N/A | 0.030 | 0.028 | 0.006 | 0.233 | 0.273 | 0.553 | 0.341 | 0.136 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 59 | 0 | 0 | 75 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.039 | 0.140 | 0.000 | 0.000 | 0.078 | 0.000 | 0.000 | 0.583 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 31 | 579 | 5261 | 468 | 794 | 145 | 553 |
N.S. |
1 | 1.00 | 0.30 | 5.51 | 50.10 | 4.46 | 7.56 | 1.38 | 5.27 |
time (sec) |
N/A | 0.078 | 0.200 | 1.163 | 2.017 | 0.285 | 0.261 | 0.342 | 0.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 31 | 396 | 3727 | 324 | 556 | 124 | 391 |
N.S. |
1 | 1.00 | 0.35 | 4.50 | 42.35 | 3.68 | 6.32 | 1.41 | 4.44 |
time (sec) |
N/A | 0.066 | 0.175 | 0.681 | 1.445 | 0.282 | 0.195 | 0.366 | 0.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 72 | 249 | 2452 | 208 | 364 | 103 | 253 |
N.S. |
1 | 1.00 | 0.57 | 1.98 | 19.46 | 1.65 | 2.89 | 0.82 | 2.01 |
time (sec) |
N/A | 0.177 | 0.189 | 0.388 | 1.045 | 0.285 | 0.149 | 0.358 | 0.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 56 | 138 | 1438 | 120 | 212 | 82 | 142 |
N.S. |
1 | 1.00 | 0.62 | 1.52 | 15.80 | 1.32 | 2.33 | 0.90 | 1.56 |
time (sec) |
N/A | 0.124 | 0.174 | 0.264 | 0.709 | 0.277 | 0.119 | 0.367 | 0.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 40 | 63 | 683 | 60 | 99 | 1227 | 67 |
N.S. |
1 | 1.00 | 0.65 | 1.02 | 11.02 | 0.97 | 1.60 | 19.79 | 1.08 |
time (sec) |
N/A | 0.075 | 0.155 | 0.289 | 0.473 | 0.284 | 0.092 | 0.375 | 0.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 35 | 34 | 35 | 25 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.93 | 1.30 | 1.26 | 1.30 | 0.93 |
time (sec) |
N/A | 0.030 | 0.021 | 0.017 | 0.186 | 0.279 | 0.075 | 0.322 | 0.218 |
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 | 22 | 22 | 22 | 23 | 0 | 32 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.45 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.040 | 0.165 | 0.312 | 0.000 | 0.301 | 0.000 | 0.000 | 0.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 53 | 0 | 100 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.89 | 1.00 | 0.00 | 1.89 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.087 | 0.187 | 0.260 | 0.000 | 0.284 | 0.000 | 0.000 | 1.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 64 | 86 | 0 | 183 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 0.74 | 0.99 | 0.00 | 2.10 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.135 | 0.206 | 0.375 | 0.000 | 0.268 | 0.000 | 0.000 | 2.177 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 79 | 119 | 0 | 292 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 0.65 | 0.98 | 0.00 | 2.41 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.175 | 0.231 | 0.530 | 0.000 | 0.277 | 0.000 | 0.000 | 0.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 152 | 0 | 430 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 4.90 | 0.00 | 13.87 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.045 | 0.186 | 0.763 | 0.000 | 0.322 | 0.000 | 0.000 | 0.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 185 | 0 | 596 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 5.97 | 0.00 | 19.23 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.041 | 0.175 | 1.073 | 0.000 | 0.287 | 0.000 | 0.000 | 0.678 |
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 | 49 | 49 | 49 | 1911 | 6135 | 617 | 0 | 195 | 209 |
N.S. |
1 | 1.00 | 1.00 | 39.00 | 125.20 | 12.59 | 0.00 | 3.98 | 4.27 |
time (sec) |
N/A | 0.041 | 0.662 | 2.826 | 1.994 | 0.092 | 0.000 | 0.159 | 0.717 |
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 | 49 | 49 | 49 | 1374 | 4471 | 456 | 0 | 174 | 730 |
N.S. |
1 | 1.00 | 1.00 | 28.04 | 91.24 | 9.31 | 0.00 | 3.55 | 14.90 |
time (sec) |
N/A | 0.043 | 0.451 | 1.586 | 1.496 | 0.086 | 0.000 | 0.174 | 0.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 153 | 929 | 3066 | 323 | 0 | 153 | 533 |
N.S. |
1 | 1.00 | 0.85 | 5.19 | 17.13 | 1.80 | 0.00 | 0.85 | 2.98 |
time (sec) |
N/A | 0.213 | 0.600 | 0.876 | 1.221 | 0.274 | 0.000 | 0.343 | 0.554 |
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 | 145 | 145 | 126 | 576 | 1922 | 218 | 0 | 132 | 378 |
N.S. |
1 | 1.00 | 0.87 | 3.97 | 13.26 | 1.50 | 0.00 | 0.91 | 2.61 |
time (sec) |
N/A | 0.144 | 0.302 | 0.471 | 0.853 | 0.277 | 0.000 | 0.319 | 0.461 |
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 | 111 | 111 | 90 | 315 | 1037 | 141 | 0 | 111 | 243 |
N.S. |
1 | 1.00 | 0.81 | 2.84 | 9.34 | 1.27 | 0.00 | 1.00 | 2.19 |
time (sec) |
N/A | 0.102 | 0.233 | 0.366 | 0.609 | 0.271 | 0.000 | 0.308 | 0.364 |
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 | 77 | 77 | 77 | 146 | 413 | 88 | 0 | 91 | 130 |
N.S. |
1 | 1.00 | 1.00 | 1.90 | 5.36 | 1.14 | 0.00 | 1.18 | 1.69 |
time (sec) |
N/A | 0.053 | 0.178 | 0.282 | 0.362 | 0.271 | 0.000 | 0.317 | 0.328 |
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 | 44 | 44 | 44 | 58 | 58 | 48 | 0 | 36 | 48 |
N.S. |
1 | 1.00 | 1.00 | 1.32 | 1.32 | 1.09 | 0.00 | 0.82 | 1.09 |
time (sec) |
N/A | 0.007 | 0.057 | 0.020 | 0.201 | 0.283 | 0.000 | 0.321 | 0.041 |
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 | 67 | 67 | 63 | 62 | 0 | 83 | 0 | 0 | 86 |
N.S. |
1 | 1.00 | 0.94 | 0.93 | 0.00 | 1.24 | 0.00 | 0.00 | 1.28 |
time (sec) |
N/A | 0.048 | 0.227 | 0.320 | 0.000 | 0.289 | 0.000 | 0.000 | 0.688 |
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 | 102 | 102 | 81 | 96 | 0 | 163 | 0 | 0 | 201 |
N.S. |
1 | 1.00 | 0.79 | 0.94 | 0.00 | 1.60 | 0.00 | 0.00 | 1.97 |
time (sec) |
N/A | 0.088 | 0.274 | 0.348 | 0.000 | 0.309 | 0.000 | 0.000 | 1.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 97 | 129 | 0 | 288 | 0 | 0 | 168 |
N.S. |
1 | 1.00 | 0.71 | 0.95 | 0.00 | 2.12 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 0.134 | 0.304 | 0.471 | 0.000 | 0.321 | 0.000 | 0.000 | 1.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 112 | 162 | 0 | 429 | 0 | 0 | 201 |
N.S. |
1 | 1.00 | 0.66 | 0.95 | 0.00 | 2.52 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.181 | 0.353 | 0.566 | 0.000 | 0.282 | 0.000 | 0.000 | 0.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 195 | 0 | 598 | 0 | 0 | 234 |
N.S. |
1 | 1.00 | 1.00 | 3.98 | 0.00 | 12.20 | 0.00 | 0.00 | 4.78 |
time (sec) |
N/A | 0.041 | 0.280 | 0.841 | 0.000 | 0.267 | 0.000 | 0.000 | 0.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 228 | 0 | 795 | 0 | 0 | 267 |
N.S. |
1 | 1.00 | 1.00 | 4.65 | 0.00 | 16.22 | 0.00 | 0.00 | 5.45 |
time (sec) |
N/A | 0.044 | 0.341 | 1.351 | 0.000 | 0.270 | 0.000 | 0.000 | 0.920 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 71 | 0 | 0 | 75 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 | 1.23 |
time (sec) |
N/A | 0.041 | 0.135 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 0.408 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 31 | 857 | 1268 | 688 | 1170 | 0 | 685 |
N.S. |
1 | 1.00 | 0.30 | 8.16 | 12.08 | 6.55 | 11.14 | 0.00 | 6.52 |
time (sec) |
N/A | 0.071 | 0.216 | 4.908 | 0.371 | 0.282 | 0.357 | 0.000 | 1.014 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 31 | 584 | 874 | 474 | 821 | 0 | 487 |
N.S. |
1 | 1.00 | 0.35 | 6.64 | 9.93 | 5.39 | 9.33 | 0.00 | 5.53 |
time (sec) |
N/A | 0.078 | 0.192 | 2.606 | 0.426 | 0.274 | 0.286 | 0.000 | 0.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 75 | 365 | 555 | 302 | 536 | 1320 | 323 |
N.S. |
1 | 1.00 | 0.60 | 2.94 | 4.48 | 2.44 | 4.32 | 10.65 | 2.60 |
time (sec) |
N/A | 0.171 | 0.218 | 1.444 | 0.358 | 0.272 | 0.220 | 0.378 | 0.555 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 56 | 200 | 308 | 172 | 304 | 705 | 196 |
N.S. |
1 | 1.00 | 0.58 | 2.08 | 3.21 | 1.79 | 3.17 | 7.34 | 2.04 |
time (sec) |
N/A | 0.126 | 0.202 | 0.566 | 0.359 | 0.280 | 0.161 | 0.393 | 0.377 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 40 | 89 | 133 | 84 | 143 | 1014 | 95 |
N.S. |
1 | 1.00 | 0.65 | 1.44 | 2.15 | 1.35 | 2.31 | 16.35 | 1.53 |
time (sec) |
N/A | 0.084 | 0.178 | 0.301 | 0.350 | 0.276 | 0.112 | 0.376 | 0.361 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 47 | 44 | 47 | 25 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.93 | 1.74 | 1.63 | 1.74 | 0.93 |
time (sec) |
N/A | 0.040 | 0.024 | 0.259 | 0.250 | 0.287 | 0.075 | 0.295 | 0.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 0 | 0 | 44 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.00 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.041 | 0.185 | 0.000 | 0.000 | 0.276 | 0.000 | 0.000 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 0 | 0 | 147 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.77 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.104 | 0.196 | 0.000 | 0.000 | 0.270 | 0.000 | 0.000 | 0.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 64 | 0 | 0 | 269 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 0.74 | 0.00 | 0.00 | 3.09 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.129 | 0.219 | 0.000 | 0.000 | 0.284 | 0.000 | 0.000 | 1.391 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 80 | 0 | 0 | 431 | 0 | 0 | 104 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.00 | 3.56 | 0.00 | 0.00 | 0.86 |
time (sec) |
N/A | 0.167 | 0.238 | 0.000 | 0.000 | 0.282 | 0.000 | 0.000 | 0.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 636 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 20.52 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.039 | 0.185 | 0.000 | 0.000 | 0.288 | 0.000 | 0.000 | 0.720 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 883 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 28.48 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.041 | 0.200 | 0.000 | 0.000 | 0.257 | 0.000 | 0.000 | 0.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 118 | 0 | 0 | 112 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.41 | 0.00 | 0.00 | 2.29 |
time (sec) |
N/A | 0.041 | 0.225 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.574 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.022 | 0.156 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 0 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.005 | 0.091 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 110 | 0 | 0 | 74 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.24 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.040 | 0.311 | 0.000 | 0.000 | 0.082 | 0.000 | 0.000 | 0.457 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 135 | 0 | 0 | 87 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.76 | 0.00 | 0.00 | 1.78 |
time (sec) |
N/A | 0.038 | 0.336 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 0.477 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 226 | 0 | 0 | 130 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 4.61 | 0.00 | 0.00 | 2.65 |
time (sec) |
N/A | 0.038 | 0.364 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 1.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | A | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 42 | 0 | 43 | 42 | 73 | 781 | 38 |
N.S. |
1 | 1.00 | 0.66 | 0.00 | 0.67 | 0.66 | 1.14 | 12.20 | 0.59 |
time (sec) |
N/A | 0.022 | 0.041 | 0.000 | 0.256 | 0.260 | 0.227 | 0.345 | 0.267 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | C | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 60 | 0 | 62 | 58 | 0 | 1338 | 54 |
N.S. |
1 | 1.00 | 0.60 | 0.00 | 0.62 | 0.58 | 0.00 | 13.38 | 0.54 |
time (sec) |
N/A | 0.040 | 0.037 | 0.000 | 0.234 | 0.292 | 0.000 | 0.376 | 0.276 |