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 | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 113 | 95 | 502 | 0 | 188 | 0 | 0 | 87 |
N.S. |
1 | 1.02 | 0.86 | 4.52 | 0.00 | 1.69 | 0.00 | 0.00 | 0.78 |
time (sec) |
N/A | 0.560 | 0.424 | 15.048 | 0.000 | 0.099 | 0.000 | 0.000 | 15.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 219 | 113 | 398 | 0 | 195 | 0 | 0 | 135 |
N.S. |
1 | 1.37 | 0.71 | 2.49 | 0.00 | 1.22 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 1.282 | 1.340 | 30.085 | 0.000 | 0.102 | 0.000 | 0.000 | 14.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 191 | 98 | 362 | 0 | 180 | 0 | 0 | 128 |
N.S. |
1 | 1.41 | 0.73 | 2.68 | 0.00 | 1.33 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 1.181 | 1.034 | 32.790 | 0.000 | 0.099 | 0.000 | 0.000 | 14.195 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 163 | 79 | 357 | 0 | 162 | 0 | 0 | 102 |
N.S. |
1 | 1.61 | 0.78 | 3.53 | 0.00 | 1.60 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.946 | 0.637 | 28.579 | 0.000 | 0.098 | 0.000 | 0.000 | 14.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 133 | 64 | 283 | 0 | 147 | 0 | 0 | 76 |
N.S. |
1 | 1.85 | 0.89 | 3.93 | 0.00 | 2.04 | 0.00 | 0.00 | 1.06 |
time (sec) |
N/A | 0.823 | 1.216 | 7.918 | 0.000 | 0.097 | 0.000 | 0.000 | 13.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 129 | 62 | 202 | 0 | 178 | 0 | 0 | 81 |
N.S. |
1 | 1.90 | 0.91 | 2.97 | 0.00 | 2.62 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.795 | 0.863 | 8.265 | 0.000 | 0.097 | 0.000 | 0.000 | 14.106 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 157 | 73 | 513 | 0 | 198 | 0 | 0 | 108 |
N.S. |
1 | 1.65 | 0.77 | 5.40 | 0.00 | 2.08 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.939 | 1.057 | 12.443 | 0.000 | 0.096 | 0.000 | 0.000 | 14.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 187 | 124 | 633 | 0 | 223 | 0 | 0 | 113 |
N.S. |
1 | 1.39 | 0.92 | 4.69 | 0.00 | 1.65 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 1.086 | 0.816 | 18.059 | 0.000 | 0.107 | 0.000 | 0.000 | 14.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 215 | 142 | 689 | 0 | 235 | 0 | 0 | 113 |
N.S. |
1 | 1.34 | 0.89 | 4.31 | 0.00 | 1.47 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 1.283 | 1.111 | 22.420 | 0.000 | 0.109 | 0.000 | 0.000 | 14.707 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 243 | 137 | 470 | 0 | 227 | 0 | 0 | 178 |
N.S. |
1 | 1.25 | 0.71 | 2.42 | 0.00 | 1.17 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 1.490 | 1.679 | 165.945 | 0.000 | 0.116 | 0.000 | 0.000 | 14.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 159 | 215 | 110 | 421 | 0 | 205 | 0 | 0 | 146 |
N.S. |
1 | 1.35 | 0.69 | 2.65 | 0.00 | 1.29 | 0.00 | 0.00 | 0.92 |
time (sec) |
N/A | 1.331 | 1.273 | 186.952 | 0.000 | 0.106 | 0.000 | 0.000 | 14.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 178 | 84 | 412 | 0 | 185 | 0 | 0 | 125 |
N.S. |
1 | 1.53 | 0.72 | 3.55 | 0.00 | 1.59 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 1.102 | 1.227 | 169.414 | 0.000 | 0.103 | 0.000 | 0.000 | 14.036 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 188 | 87 | 303 | 0 | 214 | 0 | 0 | 124 |
N.S. |
1 | 1.49 | 0.69 | 2.40 | 0.00 | 1.70 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 1.164 | 1.228 | 8.746 | 0.000 | 0.103 | 0.000 | 0.000 | 13.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 180 | 84 | 630 | 0 | 222 | 0 | 0 | 128 |
N.S. |
1 | 1.53 | 0.71 | 5.34 | 0.00 | 1.88 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 1.133 | 1.913 | 13.128 | 0.000 | 0.112 | 0.000 | 0.000 | 15.225 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 202 | 125 | 711 | 0 | 244 | 0 | 0 | 156 |
N.S. |
1 | 1.36 | 0.84 | 4.77 | 0.00 | 1.64 | 0.00 | 0.00 | 1.05 |
time (sec) |
N/A | 1.318 | 1.543 | 17.427 | 0.000 | 0.103 | 0.000 | 0.000 | 14.901 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 194 | 239 | 177 | 820 | 0 | 270 | 0 | 0 | 147 |
N.S. |
1 | 1.23 | 0.91 | 4.23 | 0.00 | 1.39 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 1.524 | 1.460 | 22.425 | 0.000 | 0.109 | 0.000 | 0.000 | 15.156 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 152 | 245 | 226 | 668 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.61 | 1.49 | 4.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.869 | 12.072 | 10.119 | 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 | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 199 | 158 | 552 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.78 | 1.41 | 4.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.382 | 1.831 | 7.418 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 156 | 81 | 226 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 2.08 | 1.08 | 3.01 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.033 | 10.679 | 6.112 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 48 | 187 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.53 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.557 | 0.254 | 4.803 | 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 | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 150 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 5.17 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 0.252 | 3.993 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 137 | 195 | 353 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.78 | 2.53 | 4.58 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.919 | 3.136 | 6.529 | 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 | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 128 | 222 | 210 | 423 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.73 | 1.64 | 3.30 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.750 | 4.264 | 13.703 | 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 | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 310 | 266 | 1064 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.27 | 1.09 | 4.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.154 | 2.106 | 15.538 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 253 | 252 | 809 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.38 | 1.37 | 4.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.676 | 2.061 | 15.009 | 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 | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 237 | 194 | 788 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.42 | 1.16 | 4.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.519 | 3.952 | 13.511 | 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(-1) | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 223 | 229 | 707 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 1.55 | 4.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.452 | 3.718 | 11.990 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 233 | 239 | 608 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.51 | 1.55 | 3.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.562 | 3.807 | 10.203 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 287 | 278 | 841 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 1.27 | 3.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.080 | 3.007 | 16.217 | 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 | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 346 | 424 | 353 | 2216 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 1.02 | 6.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.998 | 4.176 | 33.714 | 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 | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 282 | 363 | 311 | 1957 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.29 | 1.10 | 6.94 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.498 | 3.217 | 30.588 | 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(-1) | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 342 | 286 | 1936 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.30 | 1.09 | 7.36 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.281 | 3.616 | 26.373 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 328 | 272 | 1858 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 1.11 | 7.55 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.188 | 2.320 | 25.322 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 331 | 289 | 1760 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.31 | 1.14 | 6.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.300 | 3.225 | 25.125 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 339 | 297 | 1203 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.33 | 1.16 | 4.72 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.311 | 3.150 | 15.591 | 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(-1) | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 328 | 403 | 334 | 1987 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.23 | 1.02 | 6.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.001 | 4.033 | 32.898 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 244 | 274 | 340 | 2306 | 0 | 453 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.39 | 9.45 | 0.00 | 1.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.051 | 10.208 | 6.674 | 0.000 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 214 | 273 | 1313 | 0 | 415 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.42 | 6.84 | 0.00 | 2.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.544 | 10.019 | 5.962 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 244 | 869 | 0 | 355 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 3.64 | 12.97 | 0.00 | 5.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.522 | 6.737 | 3.806 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 159 | 14885 | 245 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 107.86 | 1.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.344 | 31.602 | 7.009 | 0.000 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 237 | 275 | 33693 | 995 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 142.16 | 4.20 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.442 | 32.381 | 8.003 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 332 | 383 | 2766 | 0 | 491 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.26 | 9.13 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.725 | 11.219 | 8.020 | 0.000 | 0.119 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 240 | 259 | 344 | 2302 | 0 | 455 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 1.43 | 9.59 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.026 | 9.274 | 6.901 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 209 | 284 | 1594 | 0 | 415 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.52 | 8.52 | 0.00 | 2.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.598 | 7.717 | 5.672 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 209 | 230 | 25369 | 1163 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 121.38 | 5.56 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.176 | 33.924 | 7.984 | 0.000 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 276 | 35156 | 1585 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 141.19 | 6.37 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.722 | 33.139 | 9.301 | 0.000 | 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(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 329 | 51904 | 2317 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 173.59 | 7.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.421 | 34.020 | 10.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 363 | 399 | 477 | 3822 | 0 | 531 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.31 | 10.53 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.478 | 15.611 | 1492.865 | 0.000 | 0.133 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 303 | 333 | 419 | 2766 | 0 | 491 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.38 | 9.13 | 0.00 | 1.62 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.777 | 13.799 | 1253.641 | 0.000 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 239 | 271 | 391 | 2585 | 0 | 454 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.64 | 10.82 | 0.00 | 1.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.154 | 13.168 | 1324.395 | 0.000 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 262 | 284 | 60796 | 2588 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 232.05 | 9.88 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.919 | 79.327 | 9.827 | 0.000 | 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(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 263 | 291 | 44895 | 2544 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 170.70 | 9.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.986 | 34.508 | 10.743 | 0.000 | 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(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 314 | 345 | 53538 | 2634 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 170.50 | 8.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.719 | 33.439 | 12.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | N/A | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 369 | 0 | 62811 | 3055 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 170.22 | 8.28 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 34.246 | 13.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 282 | 340 | 2307 | 0 | 456 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.37 | 9.27 | 0.00 | 1.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.148 | 10.190 | 9.737 | 0.000 | 0.130 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 195 | 220 | 265 | 1316 | 0 | 415 | 0 | 0 | 0 |
N.S. |
1 | 1.13 | 1.36 | 6.75 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.599 | 9.664 | 8.185 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 142 | 163 | 216 | 739 | 0 | 355 | 0 | 0 | 0 |
N.S. |
1 | 1.15 | 1.52 | 5.20 | 0.00 | 2.50 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.242 | 4.938 | 7.377 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 102 | 135 | 0 | 146 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.52 | 2.01 | 0.00 | 2.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.518 | 1.963 | 6.164 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 14986 | 195 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 220.38 | 2.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.635 | 6.902 | 7.574 | 0.000 | 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(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 246 | 280 | 30674 | 1281 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 124.69 | 5.21 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.466 | 32.589 | 9.717 | 0.000 | 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(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 312 | 333 | 51912 | 2319 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 166.38 | 7.43 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.365 | 34.199 | 12.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 360 | 380 | 419 | 2421 | 0 | 702 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.16 | 6.72 | 0.00 | 1.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.019 | 9.074 | 10.717 | 0.000 | 0.160 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 289 | 316 | 382 | 1711 | 0 | 644 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.32 | 5.92 | 0.00 | 2.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.263 | 6.628 | 10.273 | 0.000 | 0.146 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 249 | 330 | 925 | 0 | 585 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.54 | 4.32 | 0.00 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.770 | 7.196 | 8.857 | 0.000 | 0.115 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 200 | 232 | 245 | 593 | 0 | 541 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 1.22 | 2.96 | 0.00 | 2.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.610 | 6.370 | 7.520 | 0.000 | 0.101 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 147 | 239 | 587 | 0 | 500 | 0 | 0 | 0 |
N.S. |
1 | 1.17 | 1.90 | 4.66 | 0.00 | 3.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.774 | 6.076 | 4.344 | 0.000 | 0.110 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 206 | 235 | 48278 | 1019 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 234.36 | 4.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.833 | 32.909 | 8.870 | 0.000 | 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(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 345 | 381 | 52199 | 2300 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 151.30 | 6.67 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.755 | 32.827 | 10.160 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 391 | 420 | 527 | 4534 | 0 | 971 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.35 | 11.60 | 0.00 | 2.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.186 | 12.413 | 10.852 | 0.000 | 0.178 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 317 | 353 | 507 | 4120 | 0 | 884 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.60 | 13.00 | 0.00 | 2.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.535 | 18.246 | 9.193 | 0.000 | 0.162 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 302 | 335 | 398 | 2885 | 0 | 835 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.32 | 9.55 | 0.00 | 2.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.379 | 8.734 | 8.099 | 0.000 | 0.143 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 309 | 447 | 2304 | 0 | 782 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.59 | 8.20 | 0.00 | 2.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.186 | 11.967 | 5.795 | 0.000 | 0.144 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 277 | 316 | 311 | 1999 | 0 | 709 | 0 | 0 | 0 |
N.S. |
1 | 1.14 | 1.12 | 7.22 | 0.00 | 2.56 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.295 | 8.709 | 6.171 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F(-1) | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 370 | 411 | 93062 | 4415 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 251.52 | 11.93 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.980 | 34.585 | 9.291 | 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 | 266 | 299 | 222 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.643 | 0.648 | 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 | 186 | 204 | 161 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.966 | 0.312 | 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 | 132 | 137 | 106 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.80 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 0.097 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 196 | 209 | 5216 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 26.61 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.793 | 27.480 | 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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 309 | 316 | 13974 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 45.22 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.874 | 51.681 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |