Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 37 | 23 | 52 | 37 | 0 | 31 | 79 |
N.S. |
1 | 1.00 | 1.68 | 1.05 | 2.36 | 1.68 | 0.00 | 1.41 | 3.59 |
time (sec) |
N/A | 0.268 | 0.394 | 0.138 | 0.285 | 0.274 | 0.000 | 0.412 | 9.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 69 | 42 | 70 | 62 | 0 | 65 | 25 |
N.S. |
1 | 1.00 | 2.38 | 1.45 | 2.41 | 2.14 | 0.00 | 2.24 | 0.86 |
time (sec) |
N/A | 0.286 | 0.142 | 0.161 | 0.205 | 0.276 | 0.000 | 0.425 | 9.599 |
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 | 53 | 52 | 94 | 68 | 115 | 88 | 0 | 94 | 87 |
N.S. |
1 | 0.98 | 1.77 | 1.28 | 2.17 | 1.66 | 0.00 | 1.77 | 1.64 |
time (sec) |
N/A | 0.411 | 0.876 | 0.186 | 0.199 | 0.278 | 0.000 | 0.409 | 9.475 |
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 | 72 | 67 | 126 | 94 | 153 | 119 | 0 | 128 | 119 |
N.S. |
1 | 0.93 | 1.75 | 1.31 | 2.12 | 1.65 | 0.00 | 1.78 | 1.65 |
time (sec) |
N/A | 0.445 | 1.083 | 0.207 | 0.201 | 0.286 | 0.000 | 0.402 | 9.906 |
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 | 95 | 91 | 125 | 122 | 195 | 143 | 0 | 157 | 151 |
N.S. |
1 | 0.96 | 1.32 | 1.28 | 2.05 | 1.51 | 0.00 | 1.65 | 1.59 |
time (sec) |
N/A | 0.545 | 1.423 | 0.240 | 0.208 | 0.285 | 0.000 | 0.345 | 9.775 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 105 | 189 | 134 | 234 | 173 | 0 | 187 | 291 |
N.S. |
1 | 0.92 | 1.66 | 1.18 | 2.05 | 1.52 | 0.00 | 1.64 | 2.55 |
time (sec) |
N/A | 0.557 | 1.236 | 0.270 | 0.192 | 0.276 | 0.000 | 0.343 | 10.240 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 97 | 209 | 115 | 398 | 144 | 3580 | 145 | 147 |
N.S. |
1 | 0.87 | 1.88 | 1.04 | 3.59 | 1.30 | 32.25 | 1.31 | 1.32 |
time (sec) |
N/A | 0.481 | 1.628 | 0.362 | 0.287 | 0.288 | 21.487 | 0.341 | 13.210 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 72 | 165 | 98 | 312 | 119 | 2263 | 106 | 120 |
N.S. |
1 | 0.87 | 1.99 | 1.18 | 3.76 | 1.43 | 27.27 | 1.28 | 1.45 |
time (sec) |
N/A | 0.452 | 1.009 | 0.289 | 0.279 | 0.277 | 12.773 | 0.323 | 13.459 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 61 | 69 | 65 | 226 | 100 | 1248 | 91 | 95 |
N.S. |
1 | 0.88 | 1.00 | 0.94 | 3.28 | 1.45 | 18.09 | 1.32 | 1.38 |
time (sec) |
N/A | 0.513 | 0.252 | 0.253 | 0.285 | 0.258 | 7.174 | 0.340 | 12.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 50 | 117 | 50 | 139 | 77 | 479 | 78 | 68 |
N.S. |
1 | 1.06 | 2.49 | 1.06 | 2.96 | 1.64 | 10.19 | 1.66 | 1.45 |
time (sec) |
N/A | 0.271 | 0.148 | 0.207 | 0.283 | 0.257 | 3.798 | 0.370 | 9.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 38 | 115 | 34 | 55 | 103 | 0 | 38 | 39 |
N.S. |
1 | 0.95 | 2.88 | 0.85 | 1.38 | 2.58 | 0.00 | 0.95 | 0.98 |
time (sec) |
N/A | 0.367 | 0.476 | 0.231 | 0.214 | 0.271 | 0.000 | 0.319 | 9.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 49 | 216 | 59 | 116 | 160 | 0 | 90 | 87 |
N.S. |
1 | 0.91 | 4.00 | 1.09 | 2.15 | 2.96 | 0.00 | 1.67 | 1.61 |
time (sec) |
N/A | 0.273 | 0.937 | 0.315 | 0.211 | 0.296 | 0.000 | 0.320 | 9.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 70 | 364 | 87 | 161 | 246 | 0 | 116 | 120 |
N.S. |
1 | 0.90 | 4.67 | 1.12 | 2.06 | 3.15 | 0.00 | 1.49 | 1.54 |
time (sec) |
N/A | 0.440 | 1.205 | 0.325 | 0.251 | 0.283 | 0.000 | 0.340 | 9.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 80 | 472 | 113 | 199 | 302 | 0 | 146 | 153 |
N.S. |
1 | 0.88 | 5.19 | 1.24 | 2.19 | 3.32 | 0.00 | 1.60 | 1.68 |
time (sec) |
N/A | 0.474 | 1.652 | 0.352 | 0.204 | 0.273 | 0.000 | 0.472 | 9.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 101 | 197 | 123 | 314 | 163 | 2264 | 117 | 121 |
N.S. |
1 | 1.04 | 2.03 | 1.27 | 3.24 | 1.68 | 23.34 | 1.21 | 1.25 |
time (sec) |
N/A | 0.485 | 1.121 | 0.554 | 0.281 | 0.276 | 23.095 | 0.465 | 13.448 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 80 | 96 | 84 | 228 | 144 | 1246 | 80 | 94 |
N.S. |
1 | 1.05 | 1.26 | 1.11 | 3.00 | 1.89 | 16.39 | 1.05 | 1.24 |
time (sec) |
N/A | 0.491 | 0.629 | 0.388 | 0.283 | 0.292 | 13.710 | 0.449 | 12.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 64 | 145 | 55 | 142 | 124 | 529 | 60 | 54 |
N.S. |
1 | 1.05 | 2.38 | 0.90 | 2.33 | 2.03 | 8.67 | 0.98 | 0.89 |
time (sec) |
N/A | 0.415 | 0.349 | 0.321 | 0.281 | 0.272 | 7.539 | 0.443 | 9.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 72 | 185 | 64 | 143 | 194 | 0 | 66 | 64 |
N.S. |
1 | 1.06 | 2.72 | 0.94 | 2.10 | 2.85 | 0.00 | 0.97 | 0.94 |
time (sec) |
N/A | 0.421 | 0.684 | 0.375 | 0.198 | 0.263 | 0.000 | 0.618 | 9.850 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 86 | 255 | 89 | 202 | 279 | 0 | 109 | 145 |
N.S. |
1 | 1.05 | 3.11 | 1.09 | 2.46 | 3.40 | 0.00 | 1.33 | 1.77 |
time (sec) |
N/A | 0.367 | 1.524 | 0.440 | 0.261 | 0.281 | 0.000 | 0.416 | 9.942 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 106 | 110 | 308 | 117 | 247 | 365 | 0 | 143 | 178 |
N.S. |
1 | 1.04 | 2.91 | 1.10 | 2.33 | 3.44 | 0.00 | 1.35 | 1.68 |
time (sec) |
N/A | 0.490 | 4.979 | 0.534 | 0.264 | 0.271 | 0.000 | 0.371 | 9.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 154 | 171 | 82 | 355 | 243 | 1501 | 112 | 207 |
N.S. |
1 | 1.07 | 1.19 | 0.57 | 2.47 | 1.69 | 10.42 | 0.78 | 1.44 |
time (sec) |
N/A | 0.660 | 1.059 | 0.689 | 0.229 | 0.248 | 43.592 | 0.378 | 9.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 193 | 231 | 109 | 85 | 0 | 151 | 0 | 157 | 0 |
N.S. |
1 | 1.20 | 0.56 | 0.44 | 0.00 | 0.78 | 0.00 | 0.81 | 0.00 |
time (sec) |
N/A | 1.313 | 0.869 | 0.138 | 0.000 | 0.268 | 0.000 | 0.343 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 139 | 99 | 75 | 0 | 130 | 0 | 128 | 0 |
N.S. |
1 | 1.12 | 0.80 | 0.60 | 0.00 | 1.05 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.738 | 0.670 | 1.089 | 0.000 | 0.268 | 0.000 | 0.307 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 97 | 89 | 65 | 0 | 111 | 0 | 99 | 0 |
N.S. |
1 | 1.05 | 0.97 | 0.71 | 0.00 | 1.21 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.507 | 0.250 | 0.103 | 0.000 | 0.250 | 0.000 | 0.317 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 105 | 143 | 103 | 0 | 250 | 0 | 132 | 0 |
N.S. |
1 | 1.13 | 1.54 | 1.11 | 0.00 | 2.69 | 0.00 | 1.42 | 0.00 |
time (sec) |
N/A | 0.700 | 0.686 | 0.103 | 0.000 | 0.283 | 0.000 | 0.363 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 99 | 206 | 129 | 0 | 279 | 0 | 149 | 0 |
N.S. |
1 | 1.11 | 2.31 | 1.45 | 0.00 | 3.13 | 0.00 | 1.67 | 0.00 |
time (sec) |
N/A | 0.516 | 0.950 | 0.106 | 0.000 | 0.273 | 0.000 | 0.381 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 111 | 249 | 126 | 0 | 319 | 0 | 155 | 0 |
N.S. |
1 | 1.10 | 2.47 | 1.25 | 0.00 | 3.16 | 0.00 | 1.53 | 0.00 |
time (sec) |
N/A | 0.763 | 0.930 | 0.120 | 0.000 | 0.288 | 0.000 | 0.340 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 155 | 285 | 144 | 0 | 361 | 0 | 184 | 0 |
N.S. |
1 | 1.13 | 2.08 | 1.05 | 0.00 | 2.64 | 0.00 | 1.34 | 0.00 |
time (sec) |
N/A | 0.955 | 1.498 | 0.111 | 0.000 | 0.293 | 0.000 | 0.384 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 274 | 120 | 97 | 0 | 189 | 0 | 192 | 0 |
N.S. |
1 | 1.18 | 0.52 | 0.42 | 0.00 | 0.81 | 0.00 | 0.82 | 0.00 |
time (sec) |
N/A | 1.526 | 2.793 | 0.105 | 0.000 | 0.258 | 0.000 | 0.332 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 173 | 110 | 87 | 0 | 166 | 0 | 162 | 0 |
N.S. |
1 | 1.11 | 0.71 | 0.56 | 0.00 | 1.06 | 0.00 | 1.04 | 0.00 |
time (sec) |
N/A | 0.900 | 7.614 | 0.398 | 0.000 | 0.275 | 0.000 | 0.340 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 133 | 100 | 77 | 0 | 145 | 0 | 132 | 0 |
N.S. |
1 | 1.07 | 0.81 | 0.62 | 0.00 | 1.17 | 0.00 | 1.06 | 0.00 |
time (sec) |
N/A | 0.634 | 0.777 | 0.105 | 0.000 | 0.262 | 0.000 | 0.435 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 133 | 145 | 123 | 0 | 282 | 0 | 165 | 0 |
N.S. |
1 | 1.08 | 1.18 | 1.00 | 0.00 | 2.29 | 0.00 | 1.34 | 0.00 |
time (sec) |
N/A | 0.892 | 5.419 | 0.108 | 0.000 | 0.267 | 0.000 | 0.426 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 134 | 233 | 154 | 0 | 315 | 0 | 183 | 0 |
N.S. |
1 | 1.11 | 1.93 | 1.27 | 0.00 | 2.60 | 0.00 | 1.51 | 0.00 |
time (sec) |
N/A | 0.767 | 5.967 | 0.108 | 0.000 | 0.302 | 0.000 | 0.440 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 144 | 271 | 151 | 0 | 359 | 0 | 185 | 0 |
N.S. |
1 | 1.10 | 2.07 | 1.15 | 0.00 | 2.74 | 0.00 | 1.41 | 0.00 |
time (sec) |
N/A | 0.969 | 1.811 | 0.102 | 0.000 | 0.286 | 0.000 | 0.444 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 154 | 286 | 144 | 0 | 380 | 0 | 188 | 0 |
N.S. |
1 | 1.11 | 2.06 | 1.04 | 0.00 | 2.73 | 0.00 | 1.35 | 0.00 |
time (sec) |
N/A | 1.031 | 2.554 | 0.105 | 0.000 | 0.289 | 0.000 | 0.615 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 186 | 97 | 74 | 0 | 136 | 0 | 103 | 0 |
N.S. |
1 | 1.18 | 0.61 | 0.47 | 0.00 | 0.86 | 0.00 | 0.65 | 0.00 |
time (sec) |
N/A | 0.954 | 1.380 | 0.090 | 0.000 | 0.255 | 0.000 | 0.315 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 136 | 87 | 64 | 0 | 115 | 0 | 84 | 0 |
N.S. |
1 | 1.48 | 0.95 | 0.70 | 0.00 | 1.25 | 0.00 | 0.91 | 0.00 |
time (sec) |
N/A | 0.710 | 0.629 | 0.305 | 0.000 | 0.258 | 0.000 | 0.352 | 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 | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 77 | 54 | 0 | 96 | 0 | 65 | 0 |
N.S. |
1 | 1.00 | 1.28 | 0.90 | 0.00 | 1.60 | 0.00 | 1.08 | 0.00 |
time (sec) |
N/A | 0.365 | 0.268 | 0.087 | 0.000 | 0.271 | 0.000 | 0.342 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 70 | 116 | 87 | 0 | 236 | 0 | 112 | 0 |
N.S. |
1 | 1.11 | 1.84 | 1.38 | 0.00 | 3.75 | 0.00 | 1.78 | 0.00 |
time (sec) |
N/A | 0.499 | 0.379 | 0.094 | 0.000 | 0.275 | 0.000 | 0.376 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 138 | 103 | 0 | 263 | 0 | 132 | 0 |
N.S. |
1 | 1.00 | 2.23 | 1.66 | 0.00 | 4.24 | 0.00 | 2.13 | 0.00 |
time (sec) |
N/A | 0.340 | 0.511 | 0.108 | 0.000 | 0.276 | 0.000 | 0.370 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 110 | 272 | 124 | 0 | 320 | 0 | 149 | 0 |
N.S. |
1 | 1.10 | 2.72 | 1.24 | 0.00 | 3.20 | 0.00 | 1.49 | 0.00 |
time (sec) |
N/A | 0.685 | 2.017 | 0.104 | 0.000 | 0.279 | 0.000 | 0.400 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 135 | 151 | 292 | 144 | 0 | 367 | 0 | 168 | 0 |
N.S. |
1 | 1.12 | 2.16 | 1.07 | 0.00 | 2.72 | 0.00 | 1.24 | 0.00 |
time (sec) |
N/A | 0.886 | 1.522 | 0.112 | 0.000 | 0.302 | 0.000 | 0.352 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 184 | 208 | 201 | 148 | 0 | 259 | 0 | 182 | 0 |
N.S. |
1 | 1.13 | 1.09 | 0.80 | 0.00 | 1.41 | 0.00 | 0.99 | 0.00 |
time (sec) |
N/A | 1.273 | 3.058 | 0.102 | 0.000 | 0.303 | 0.000 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 150 | 150 | 112 | 0 | 236 | 0 | 144 | 0 |
N.S. |
1 | 1.07 | 1.07 | 0.80 | 0.00 | 1.69 | 0.00 | 1.03 | 0.00 |
time (sec) |
N/A | 0.754 | 0.645 | 0.365 | 0.000 | 0.278 | 0.000 | 0.336 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 112 | 149 | 110 | 0 | 215 | 0 | 144 | 0 |
N.S. |
1 | 1.04 | 1.38 | 1.02 | 0.00 | 1.99 | 0.00 | 1.33 | 0.00 |
time (sec) |
N/A | 0.492 | 0.585 | 0.088 | 0.000 | 0.255 | 0.000 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 89 | 130 | 97 | 0 | 291 | 0 | 152 | 0 |
N.S. |
1 | 1.05 | 1.53 | 1.14 | 0.00 | 3.42 | 0.00 | 1.79 | 0.00 |
time (sec) |
N/A | 0.596 | 0.462 | 0.104 | 0.000 | 0.276 | 0.000 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 121 | 206 | 135 | 0 | 421 | 0 | 205 | 0 |
N.S. |
1 | 1.07 | 1.82 | 1.19 | 0.00 | 3.73 | 0.00 | 1.81 | 0.00 |
time (sec) |
N/A | 0.607 | 1.819 | 0.115 | 0.000 | 0.292 | 0.000 | 0.421 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | B | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 153 | 167 | 309 | 164 | 0 | 508 | 0 | 224 | 0 |
N.S. |
1 | 1.09 | 2.02 | 1.07 | 0.00 | 3.32 | 0.00 | 1.46 | 0.00 |
time (sec) |
N/A | 1.095 | 3.270 | 0.118 | 0.000 | 0.293 | 0.000 | 0.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F(-1) | B | F | A | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 213 | 332 | 182 | 0 | 564 | 0 | 240 | 0 |
N.S. |
1 | 1.12 | 1.74 | 0.95 | 0.00 | 2.95 | 0.00 | 1.26 | 0.00 |
time (sec) |
N/A | 1.380 | 2.594 | 0.116 | 0.000 | 0.294 | 0.000 | 0.415 | 0.000 |
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 | 65 | 68 | 51 | 48 | 50 | 72 | 90 | 50 | 49 |
N.S. |
1 | 1.05 | 0.78 | 0.74 | 0.77 | 1.11 | 1.38 | 0.77 | 0.75 |
time (sec) |
N/A | 0.249 | 0.295 | 0.240 | 0.239 | 0.273 | 0.463 | 0.720 | 0.071 |
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 | 65 | 68 | 51 | 48 | 50 | 62 | 90 | 50 | 49 |
N.S. |
1 | 1.05 | 0.78 | 0.74 | 0.77 | 0.95 | 1.38 | 0.77 | 0.75 |
time (sec) |
N/A | 0.254 | 0.145 | 0.188 | 0.198 | 0.266 | 0.319 | 0.377 | 0.066 |
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 | 49 | 47 | 58 | 48 | 50 | 51 | 66 | 50 | 49 |
N.S. |
1 | 0.96 | 1.18 | 0.98 | 1.02 | 1.04 | 1.35 | 1.02 | 1.00 |
time (sec) |
N/A | 0.349 | 0.057 | 0.146 | 0.198 | 0.251 | 0.213 | 0.343 | 0.069 |
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 | 45 | 41 | 44 | 46 | 48 | 39 | 60 | 48 | 46 |
N.S. |
1 | 0.91 | 0.98 | 1.02 | 1.07 | 0.87 | 1.33 | 1.07 | 1.02 |
time (sec) |
N/A | 0.215 | 0.008 | 0.125 | 0.212 | 0.273 | 0.152 | 0.303 | 0.061 |
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 | 56 | 61 | 56 | 45 | 47 | 51 | 0 | 48 | 92 |
N.S. |
1 | 1.09 | 1.00 | 0.80 | 0.84 | 0.91 | 0.00 | 0.86 | 1.64 |
time (sec) |
N/A | 0.239 | 0.030 | 0.242 | 0.224 | 0.288 | 0.000 | 0.313 | 10.313 |
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 | 53 | 58 | 53 | 65 | 46 | 68 | 0 | 47 | 140 |
N.S. |
1 | 1.09 | 1.00 | 1.23 | 0.87 | 1.28 | 0.00 | 0.89 | 2.64 |
time (sec) |
N/A | 0.241 | 0.016 | 0.167 | 0.209 | 0.274 | 0.000 | 0.317 | 9.627 |
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 | 54 | 48 | 60 | 67 | 45 | 69 | 0 | 46 | 146 |
N.S. |
1 | 0.89 | 1.11 | 1.24 | 0.83 | 1.28 | 0.00 | 0.85 | 2.70 |
time (sec) |
N/A | 0.213 | 0.071 | 0.172 | 0.213 | 0.278 | 0.000 | 0.332 | 10.298 |
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 | 37 | 38 | 28 | 30 | 29 | 47 | 277 | 29 | 26 |
N.S. |
1 | 1.03 | 0.76 | 0.81 | 0.78 | 1.27 | 7.49 | 0.78 | 0.70 |
time (sec) |
N/A | 0.281 | 0.049 | 0.142 | 0.201 | 0.272 | 6.524 | 0.368 | 0.048 |
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 | 37 | 37 | 28 | 30 | 29 | 37 | 224 | 29 | 26 |
N.S. |
1 | 1.00 | 0.76 | 0.81 | 0.78 | 1.00 | 6.05 | 0.78 | 0.70 |
time (sec) |
N/A | 0.299 | 0.034 | 0.118 | 0.214 | 0.268 | 3.526 | 0.335 | 9.849 |
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 | 32 | 23 | 24 | 25 | 25 | 25 | 158 | 25 | 22 |
N.S. |
1 | 0.72 | 0.75 | 0.78 | 0.78 | 0.78 | 4.94 | 0.78 | 0.69 |
time (sec) |
N/A | 0.202 | 0.028 | 0.082 | 0.207 | 0.267 | 1.790 | 0.411 | 0.045 |
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 | 29 | 28 | 23 | 28 | 27 | 25 | 0 | 28 | 71 |
N.S. |
1 | 0.97 | 0.79 | 0.97 | 0.93 | 0.86 | 0.00 | 0.97 | 2.45 |
time (sec) |
N/A | 0.254 | 0.033 | 0.115 | 0.220 | 0.283 | 0.000 | 0.332 | 9.445 |
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 | 30 | 27 | 22 | 24 | 29 | 34 | 0 | 30 | 59 |
N.S. |
1 | 0.90 | 0.73 | 0.80 | 0.97 | 1.13 | 0.00 | 1.00 | 1.97 |
time (sec) |
N/A | 0.264 | 0.031 | 0.109 | 0.213 | 0.300 | 0.000 | 0.293 | 9.612 |
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 | 32 | 32 | 24 | 25 | 26 | 30 | 0 | 26 | 23 |
N.S. |
1 | 1.00 | 0.75 | 0.78 | 0.81 | 0.94 | 0.00 | 0.81 | 0.72 |
time (sec) |
N/A | 0.295 | 0.014 | 0.085 | 0.206 | 0.255 | 0.000 | 0.357 | 9.926 |
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 | 37 | 36 | 28 | 30 | 26 | 38 | 0 | 26 | 36 |
N.S. |
1 | 0.97 | 0.76 | 0.81 | 0.70 | 1.03 | 0.00 | 0.70 | 0.97 |
time (sec) |
N/A | 0.268 | 0.043 | 0.110 | 0.197 | 0.269 | 0.000 | 0.410 | 9.659 |
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 | 37 | 38 | 28 | 30 | 26 | 41 | 0 | 26 | 25 |
N.S. |
1 | 1.03 | 0.76 | 0.81 | 0.70 | 1.11 | 0.00 | 0.70 | 0.68 |
time (sec) |
N/A | 0.282 | 0.037 | 0.151 | 0.238 | 0.268 | 0.000 | 0.456 | 9.683 |
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 | 143 | 151 | 84 | 85 | 71 | 95 | 272 | 107 | 353 |
N.S. |
1 | 1.06 | 0.59 | 0.59 | 0.50 | 0.66 | 1.90 | 0.75 | 2.47 |
time (sec) |
N/A | 0.672 | 0.275 | 0.498 | 0.225 | 0.271 | 0.979 | 0.522 | 13.579 |
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 | 127 | 139 | 71 | 76 | 61 | 84 | 248 | 92 | 320 |
N.S. |
1 | 1.09 | 0.56 | 0.60 | 0.48 | 0.66 | 1.95 | 0.72 | 2.52 |
time (sec) |
N/A | 0.645 | 0.144 | 0.354 | 0.215 | 0.274 | 0.667 | 0.762 | 13.537 |
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 | 103 | 111 | 81 | 83 | 65 | 73 | 192 | 107 | 292 |
N.S. |
1 | 1.08 | 0.79 | 0.81 | 0.63 | 0.71 | 1.86 | 1.04 | 2.83 |
time (sec) |
N/A | 0.526 | 0.117 | 0.268 | 0.213 | 0.278 | 0.462 | 0.382 | 13.848 |
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 | 87 | 96 | 71 | 68 | 52 | 62 | 167 | 92 | 292 |
N.S. |
1 | 1.10 | 0.82 | 0.78 | 0.60 | 0.71 | 1.92 | 1.06 | 3.36 |
time (sec) |
N/A | 0.454 | 0.094 | 0.243 | 0.211 | 0.275 | 0.328 | 0.309 | 13.412 |
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 | 89 | 88 | 81 | 66 | 81 | 88 | 0 | 145 | 245 |
N.S. |
1 | 0.99 | 0.91 | 0.74 | 0.91 | 0.99 | 0.00 | 1.63 | 2.75 |
time (sec) |
N/A | 0.406 | 0.212 | 0.202 | 0.209 | 0.269 | 0.000 | 0.304 | 11.378 |
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 | 83 | 86 | 77 | 94 | 90 | 107 | 0 | 142 | 244 |
N.S. |
1 | 1.04 | 0.93 | 1.13 | 1.08 | 1.29 | 0.00 | 1.71 | 2.94 |
time (sec) |
N/A | 0.402 | 0.453 | 0.198 | 0.286 | 0.289 | 0.000 | 0.327 | 9.896 |
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 | 94 | 105 | 94 | 116 | 101 | 139 | 0 | 163 | 239 |
N.S. |
1 | 1.12 | 1.00 | 1.23 | 1.07 | 1.48 | 0.00 | 1.73 | 2.54 |
time (sec) |
N/A | 0.390 | 0.507 | 0.229 | 0.302 | 0.294 | 0.000 | 0.326 | 10.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 125 | 86 | 92 | 160 | 0 | 141 | 228 |
N.S. |
1 | 1.00 | 1.52 | 1.05 | 1.12 | 1.95 | 0.00 | 1.72 | 2.78 |
time (sec) |
N/A | 0.270 | 0.021 | 0.199 | 0.304 | 0.270 | 0.000 | 0.393 | 9.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 92 | 153 | 104 | 107 | 180 | 0 | 153 | 217 |
N.S. |
1 | 1.05 | 1.74 | 1.18 | 1.22 | 2.05 | 0.00 | 1.74 | 2.47 |
time (sec) |
N/A | 0.600 | 0.153 | 0.216 | 0.292 | 0.274 | 0.000 | 0.356 | 9.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 79 | 135 | 100 | 86 | 160 | 0 | 173 | 289 |
N.S. |
1 | 1.07 | 1.82 | 1.35 | 1.16 | 2.16 | 0.00 | 2.34 | 3.91 |
time (sec) |
N/A | 0.510 | 0.015 | 0.273 | 0.206 | 0.270 | 0.000 | 0.351 | 11.261 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 107 | 175 | 118 | 106 | 187 | 0 | 201 | 337 |
N.S. |
1 | 1.09 | 1.79 | 1.20 | 1.08 | 1.91 | 0.00 | 2.05 | 3.44 |
time (sec) |
N/A | 0.642 | 0.177 | 0.322 | 0.219 | 0.285 | 0.000 | 0.356 | 10.264 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 121 | 239 | 133 | 118 | 221 | 0 | 229 | 385 |
N.S. |
1 | 1.06 | 2.10 | 1.17 | 1.04 | 1.94 | 0.00 | 2.01 | 3.38 |
time (sec) |
N/A | 0.674 | 0.189 | 0.371 | 0.197 | 0.315 | 0.000 | 0.335 | 10.604 |
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 | 136 | 147 | 279 | 156 | 138 | 239 | 0 | 201 | 337 |
N.S. |
1 | 1.08 | 2.05 | 1.15 | 1.01 | 1.76 | 0.00 | 1.48 | 2.48 |
time (sec) |
N/A | 0.787 | 0.178 | 0.413 | 0.217 | 0.297 | 0.000 | 0.461 | 11.400 |
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 | 185 | 185 | 116 | 120 | 123 | 124 | 554 | 174 | 469 |
N.S. |
1 | 1.00 | 0.63 | 0.65 | 0.66 | 0.67 | 2.99 | 0.94 | 2.54 |
time (sec) |
N/A | 0.543 | 6.910 | 0.739 | 0.220 | 0.306 | 1.299 | 0.597 | 13.249 |
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 | 159 | 159 | 86 | 89 | 101 | 111 | 335 | 123 | 437 |
N.S. |
1 | 1.00 | 0.54 | 0.56 | 0.64 | 0.70 | 2.11 | 0.77 | 2.75 |
time (sec) |
N/A | 0.459 | 0.389 | 0.589 | 0.209 | 0.287 | 0.918 | 0.528 | 12.754 |
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 | 141 | 141 | 96 | 98 | 102 | 98 | 420 | 140 | 363 |
N.S. |
1 | 1.00 | 0.68 | 0.70 | 0.72 | 0.70 | 2.98 | 0.99 | 2.57 |
time (sec) |
N/A | 0.452 | 0.324 | 0.441 | 0.219 | 0.294 | 0.687 | 0.457 | 13.366 |
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 | 129 | 137 | 86 | 89 | 82 | 85 | 223 | 123 | 388 |
N.S. |
1 | 1.06 | 0.67 | 0.69 | 0.64 | 0.66 | 1.73 | 0.95 | 3.01 |
time (sec) |
N/A | 0.575 | 0.157 | 0.327 | 0.231 | 0.276 | 0.464 | 0.709 | 11.513 |
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 | 119 | 119 | 96 | 79 | 98 | 115 | 0 | 181 | 293 |
N.S. |
1 | 1.00 | 0.81 | 0.66 | 0.82 | 0.97 | 0.00 | 1.52 | 2.46 |
time (sec) |
N/A | 0.347 | 5.753 | 0.296 | 0.211 | 0.288 | 0.000 | 0.347 | 11.054 |
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 | 116 | 120 | 83 | 115 | 128 | 135 | 0 | 210 | 310 |
N.S. |
1 | 1.03 | 0.72 | 0.99 | 1.10 | 1.16 | 0.00 | 1.81 | 2.67 |
time (sec) |
N/A | 0.420 | 0.602 | 0.289 | 0.302 | 0.304 | 0.000 | 0.344 | 9.310 |
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 | 98 | 102 | 158 | 158 | 151 | 172 | 0 | 178 | 303 |
N.S. |
1 | 1.04 | 1.61 | 1.61 | 1.54 | 1.76 | 0.00 | 1.82 | 3.09 |
time (sec) |
N/A | 0.355 | 6.731 | 0.318 | 0.307 | 0.288 | 0.000 | 0.378 | 9.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 191 | 146 | 139 | 192 | 0 | 209 | 293 |
N.S. |
1 | 1.04 | 1.95 | 1.49 | 1.42 | 1.96 | 0.00 | 2.13 | 2.99 |
time (sec) |
N/A | 0.341 | 3.902 | 0.303 | 0.310 | 0.300 | 0.000 | 0.378 | 9.419 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 120 | 215 | 168 | 167 | 219 | 0 | 162 | 265 |
N.S. |
1 | 1.03 | 1.85 | 1.45 | 1.44 | 1.89 | 0.00 | 1.40 | 2.28 |
time (sec) |
N/A | 0.367 | 6.650 | 0.302 | 0.479 | 0.279 | 0.000 | 0.377 | 10.012 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 200 | 130 | 124 | 239 | 0 | 207 | 275 |
N.S. |
1 | 1.00 | 1.69 | 1.10 | 1.05 | 2.03 | 0.00 | 1.75 | 2.33 |
time (sec) |
N/A | 0.382 | 0.596 | 0.294 | 0.303 | 0.264 | 0.000 | 0.424 | 10.140 |
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 | 132 | 132 | 267 | 172 | 181 | 211 | 0 | 229 | 339 |
N.S. |
1 | 1.00 | 2.02 | 1.30 | 1.37 | 1.60 | 0.00 | 1.73 | 2.57 |
time (sec) |
N/A | 0.434 | 0.269 | 0.335 | 0.227 | 0.275 | 0.000 | 0.427 | 11.215 |
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 | 176 | 291 | 146 | 233 | 271 | 0 | 293 | 319 |
N.S. |
1 | 1.00 | 1.65 | 0.83 | 1.32 | 1.54 | 0.00 | 1.66 | 1.81 |
time (sec) |
N/A | 0.501 | 6.374 | 0.438 | 0.213 | 0.275 | 0.000 | 0.414 | 10.339 |
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 | 168 | 168 | 313 | 198 | 177 | 304 | 0 | 261 | 387 |
N.S. |
1 | 1.00 | 1.86 | 1.18 | 1.05 | 1.81 | 0.00 | 1.55 | 2.30 |
time (sec) |
N/A | 0.474 | 6.727 | 0.440 | 0.221 | 0.279 | 0.000 | 0.411 | 13.301 |
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 | 218 | 218 | 353 | 168 | 283 | 340 | 0 | 357 | 395 |
N.S. |
1 | 1.00 | 1.62 | 0.77 | 1.30 | 1.56 | 0.00 | 1.64 | 1.81 |
time (sec) |
N/A | 0.566 | 6.785 | 0.575 | 0.249 | 0.306 | 0.000 | 0.523 | 10.861 |
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 | 203 | 203 | 126 | 131 | 169 | 137 | 648 | 191 | 506 |
N.S. |
1 | 1.00 | 0.62 | 0.65 | 0.83 | 0.67 | 3.19 | 0.94 | 2.49 |
time (sec) |
N/A | 0.605 | 12.196 | 0.780 | 0.239 | 0.301 | 1.969 | 0.703 | 13.182 |
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 | 182 | 182 | 116 | 120 | 149 | 124 | 595 | 174 | 572 |
N.S. |
1 | 1.00 | 0.64 | 0.66 | 0.82 | 0.68 | 3.27 | 0.96 | 3.14 |
time (sec) |
N/A | 0.556 | 0.580 | 0.670 | 0.201 | 0.295 | 1.371 | 0.624 | 11.892 |
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 | 159 | 159 | 106 | 111 | 138 | 111 | 486 | 157 | 437 |
N.S. |
1 | 1.00 | 0.67 | 0.70 | 0.87 | 0.70 | 3.06 | 0.99 | 2.75 |
time (sec) |
N/A | 0.502 | 0.483 | 0.637 | 0.219 | 0.305 | 0.993 | 0.588 | 13.600 |
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 | 157 | 171 | 96 | 100 | 115 | 98 | 440 | 140 | 461 |
N.S. |
1 | 1.09 | 0.61 | 0.64 | 0.73 | 0.62 | 2.80 | 0.89 | 2.94 |
time (sec) |
N/A | 0.768 | 0.223 | 0.484 | 0.205 | 0.286 | 0.742 | 0.390 | 11.972 |
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 | 143 | 143 | 102 | 88 | 135 | 128 | 0 | 229 | 355 |
N.S. |
1 | 1.00 | 0.71 | 0.62 | 0.94 | 0.90 | 0.00 | 1.60 | 2.48 |
time (sec) |
N/A | 0.403 | 5.890 | 0.353 | 0.219 | 0.280 | 0.000 | 0.365 | 12.394 |
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 | 131 | 135 | 148 | 128 | 141 | 147 | 0 | 226 | 356 |
N.S. |
1 | 1.03 | 1.13 | 0.98 | 1.08 | 1.12 | 0.00 | 1.73 | 2.72 |
time (sec) |
N/A | 0.409 | 6.703 | 0.335 | 0.330 | 0.282 | 0.000 | 0.381 | 10.007 |
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 | 137 | 141 | 164 | 181 | 183 | 185 | 0 | 241 | 347 |
N.S. |
1 | 1.03 | 1.20 | 1.32 | 1.34 | 1.35 | 0.00 | 1.76 | 2.53 |
time (sec) |
N/A | 0.395 | 7.233 | 0.413 | 0.295 | 0.309 | 0.000 | 0.404 | 9.767 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 134 | 138 | 201 | 167 | 185 | 206 | 0 | 250 | 339 |
N.S. |
1 | 1.03 | 1.50 | 1.25 | 1.38 | 1.54 | 0.00 | 1.87 | 2.53 |
time (sec) |
N/A | 0.373 | 9.933 | 0.405 | 0.301 | 0.283 | 0.000 | 0.406 | 9.595 |
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 | 138 | 142 | 215 | 198 | 209 | 231 | 0 | 241 | 329 |
N.S. |
1 | 1.03 | 1.56 | 1.43 | 1.51 | 1.67 | 0.00 | 1.75 | 2.38 |
time (sec) |
N/A | 0.397 | 7.256 | 0.382 | 0.324 | 0.308 | 0.000 | 0.419 | 10.302 |