Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 86 | 88 | 86 | 85 | 139 | 937 | 84 |
N.S. |
1 | 1.00 | 0.99 | 1.01 | 0.99 | 0.98 | 1.60 | 10.77 | 0.97 |
time (sec) |
N/A | 0.158 | 0.647 | 0.279 | 0.337 | 0.245 | 0.114 | 0.908 | 8.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 67 | 69 | 66 | 66 | 105 | 556 | 63 |
N.S. |
1 | 1.00 | 1.02 | 1.05 | 1.00 | 1.00 | 1.59 | 8.42 | 0.95 |
time (sec) |
N/A | 0.056 | 0.329 | 0.046 | 0.308 | 0.244 | 0.103 | 0.652 | 7.970 |
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 | 42 | 42 | 59 | 46 | 50 | 50 | 82 | 50 | 58 |
N.S. |
1 | 1.00 | 1.40 | 1.10 | 1.19 | 1.19 | 1.95 | 1.19 | 1.38 |
time (sec) |
N/A | 0.075 | 0.075 | 1.460 | 0.329 | 0.247 | 0.294 | 0.726 | 7.988 |
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 | 49 | 43 | 52 | 59 | 85 | 53 | 69 |
N.S. |
1 | 1.00 | 1.32 | 1.16 | 1.41 | 1.59 | 2.30 | 1.43 | 1.86 |
time (sec) |
N/A | 0.148 | 0.064 | 0.286 | 0.330 | 0.257 | 0.412 | 0.902 | 8.309 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 88 | 53 | 68 | 73 | 116 | 119 | 87 |
N.S. |
1 | 1.00 | 2.05 | 1.23 | 1.58 | 1.70 | 2.70 | 2.77 | 2.02 |
time (sec) |
N/A | 0.168 | 0.033 | 0.286 | 0.330 | 0.260 | 0.719 | 1.067 | 8.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 77 | 77 | 86 | 95 | 143 | 179 | 108 |
N.S. |
1 | 1.00 | 1.17 | 1.17 | 1.30 | 1.44 | 2.17 | 2.71 | 1.64 |
time (sec) |
N/A | 0.207 | 0.507 | 0.339 | 0.322 | 0.242 | 1.072 | 1.308 | 7.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 101 | 95 | 104 | 121 | 173 | 237 | 127 |
N.S. |
1 | 1.00 | 1.16 | 1.09 | 1.20 | 1.39 | 1.99 | 2.72 | 1.46 |
time (sec) |
N/A | 0.253 | 1.081 | 0.355 | 0.334 | 0.247 | 1.875 | 1.609 | 7.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 100 | 108 | 122 | 138 | 204 | 299 | 145 |
N.S. |
1 | 1.00 | 0.93 | 1.00 | 1.13 | 1.28 | 1.89 | 2.77 | 1.34 |
time (sec) |
N/A | 0.295 | 1.255 | 0.348 | 0.315 | 0.254 | 2.321 | 1.337 | 8.637 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 221 | 148 | 147 | 146 | 250 | 2078 | 151 |
N.S. |
1 | 1.00 | 1.49 | 1.00 | 0.99 | 0.99 | 1.69 | 14.04 | 1.02 |
time (sec) |
N/A | 0.361 | 6.256 | 0.096 | 0.321 | 0.273 | 0.155 | 1.794 | 8.465 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 172 | 120 | 120 | 119 | 194 | 1389 | 121 |
N.S. |
1 | 1.00 | 1.54 | 1.07 | 1.07 | 1.06 | 1.73 | 12.40 | 1.08 |
time (sec) |
N/A | 0.136 | 1.961 | 0.063 | 0.312 | 0.255 | 0.130 | 1.192 | 8.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 96 | 87 | 91 | 91 | 151 | 95 | 91 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.05 | 1.05 | 1.74 | 1.09 | 1.05 |
time (sec) |
N/A | 0.156 | 0.522 | 0.253 | 0.308 | 0.252 | 0.459 | 1.006 | 8.301 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 91 | 80 | 85 | 92 | 136 | 86 | 90 |
N.S. |
1 | 1.00 | 1.30 | 1.14 | 1.21 | 1.31 | 1.94 | 1.23 | 1.29 |
time (sec) |
N/A | 0.215 | 0.311 | 0.224 | 0.441 | 0.282 | 0.750 | 1.336 | 8.589 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 100 | 84 | 93 | 112 | 158 | 118 | 100 |
N.S. |
1 | 1.00 | 1.39 | 1.17 | 1.29 | 1.56 | 2.19 | 1.64 | 1.39 |
time (sec) |
N/A | 0.242 | 0.299 | 0.350 | 0.377 | 0.254 | 1.010 | 1.674 | 8.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 123 | 107 | 120 | 122 | 206 | 237 | 127 |
N.S. |
1 | 1.00 | 1.40 | 1.22 | 1.36 | 1.39 | 2.34 | 2.69 | 1.44 |
time (sec) |
N/A | 0.311 | 0.384 | 0.385 | 0.380 | 0.255 | 1.760 | 0.868 | 8.697 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 152 | 136 | 149 | 157 | 252 | 334 | 156 |
N.S. |
1 | 1.00 | 1.29 | 1.15 | 1.26 | 1.33 | 2.14 | 2.83 | 1.32 |
time (sec) |
N/A | 0.363 | 1.266 | 0.404 | 0.382 | 0.260 | 2.315 | 0.908 | 8.740 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 180 | 162 | 175 | 191 | 304 | 435 | 182 |
N.S. |
1 | 1.00 | 1.19 | 1.07 | 1.16 | 1.26 | 2.01 | 2.88 | 1.21 |
time (sec) |
N/A | 0.431 | 3.147 | 0.464 | 0.630 | 0.252 | 4.123 | 0.978 | 8.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 209 | 180 | 179 | 178 | 313 | 2670 | 181 |
N.S. |
1 | 1.00 | 1.27 | 1.09 | 1.08 | 1.08 | 1.90 | 16.18 | 1.10 |
time (sec) |
N/A | 0.216 | 1.765 | 0.109 | 0.422 | 0.265 | 0.166 | 2.372 | 8.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 130 | 139 | 143 | 142 | 248 | 158 | 142 |
N.S. |
1 | 1.00 | 0.93 | 0.99 | 1.02 | 1.01 | 1.77 | 1.13 | 1.01 |
time (sec) |
N/A | 0.245 | 1.128 | 0.283 | 0.329 | 0.253 | 0.767 | 1.527 | 8.716 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 113 | 121 | 124 | 133 | 211 | 129 | 118 |
N.S. |
1 | 1.00 | 0.97 | 1.03 | 1.06 | 1.14 | 1.80 | 1.10 | 1.01 |
time (sec) |
N/A | 0.387 | 0.504 | 0.265 | 0.333 | 0.274 | 0.976 | 1.621 | 9.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 113 | 118 | 125 | 145 | 214 | 152 | 114 |
N.S. |
1 | 1.00 | 0.95 | 0.99 | 1.05 | 1.22 | 1.80 | 1.28 | 0.96 |
time (sec) |
N/A | 0.393 | 0.518 | 0.256 | 0.346 | 0.266 | 1.701 | 1.220 | 8.777 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 126 | 136 | 142 | 162 | 253 | 193 | 135 |
N.S. |
1 | 1.00 | 0.99 | 1.07 | 1.12 | 1.28 | 1.99 | 1.52 | 1.06 |
time (sec) |
N/A | 0.421 | 0.487 | 0.243 | 0.335 | 0.276 | 2.326 | 1.285 | 8.766 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 164 | 172 | 180 | 181 | 323 | 390 | 169 |
N.S. |
1 | 1.00 | 1.06 | 1.12 | 1.17 | 1.18 | 2.10 | 2.53 | 1.10 |
time (sec) |
N/A | 0.514 | 1.337 | 0.311 | 0.336 | 0.254 | 4.109 | 1.431 | 8.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 199 | 209 | 215 | 225 | 391 | 528 | 204 |
N.S. |
1 | 1.00 | 1.04 | 1.09 | 1.13 | 1.18 | 2.05 | 2.76 | 1.07 |
time (sec) |
N/A | 0.626 | 0.807 | 0.314 | 0.320 | 0.259 | 5.461 | 1.477 | 8.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 233 | 233 | 237 | 243 | 250 | 266 | 462 | 670 | 238 |
N.S. |
1 | 1.00 | 1.02 | 1.04 | 1.07 | 1.14 | 1.98 | 2.88 | 1.02 |
time (sec) |
N/A | 0.701 | 1.245 | 0.357 | 0.376 | 0.258 | 12.364 | 1.573 | 8.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 138 | 127 | 130 | 190 | 1306 | 135 | 144 |
N.S. |
1 | 1.00 | 1.09 | 1.00 | 1.02 | 1.50 | 10.28 | 1.06 | 1.13 |
time (sec) |
N/A | 0.565 | 1.577 | 0.122 | 0.297 | 0.271 | 0.928 | 0.655 | 8.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 118 | 101 | 109 | 149 | 1020 | 110 | 117 |
N.S. |
1 | 1.00 | 1.17 | 1.00 | 1.08 | 1.48 | 10.10 | 1.09 | 1.16 |
time (sec) |
N/A | 0.311 | 0.664 | 0.132 | 0.293 | 0.281 | 0.666 | 0.487 | 8.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 85 | 98 | 87 | 94 | 110 | 711 | 95 | 100 |
N.S. |
1 | 1.00 | 1.15 | 1.02 | 1.11 | 1.29 | 8.36 | 1.12 | 1.18 |
time (sec) |
N/A | 0.212 | 0.205 | 0.078 | 0.309 | 0.264 | 0.563 | 0.499 | 8.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 67 | 66 | 88 | 76 | 541 | 94 | 93 |
N.S. |
1 | 1.00 | 1.16 | 1.14 | 1.52 | 1.31 | 9.33 | 1.62 | 1.60 |
time (sec) |
N/A | 0.161 | 0.157 | 0.255 | 0.438 | 0.258 | 1.203 | 0.668 | 9.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 113 | 95 | 107 | 118 | 966 | 113 | 115 |
N.S. |
1 | 1.00 | 1.41 | 1.19 | 1.34 | 1.48 | 12.08 | 1.41 | 1.44 |
time (sec) |
N/A | 0.245 | 0.369 | 0.282 | 0.381 | 0.271 | 2.169 | 0.802 | 9.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 138 | 122 | 131 | 177 | 2067 | 157 | 140 |
N.S. |
1 | 1.00 | 1.34 | 1.18 | 1.27 | 1.72 | 20.07 | 1.52 | 1.36 |
time (sec) |
N/A | 0.409 | 0.981 | 0.316 | 0.424 | 0.267 | 3.717 | 1.075 | 9.882 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 163 | 152 | 158 | 234 | 2596 | 214 | 175 |
N.S. |
1 | 1.00 | 1.19 | 1.11 | 1.15 | 1.71 | 18.95 | 1.56 | 1.28 |
time (sec) |
N/A | 0.716 | 1.517 | 0.350 | 0.314 | 0.280 | 10.291 | 1.355 | 10.245 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 193 | 172 | 220 | 434 | 4541 | 290 | 210 |
N.S. |
1 | 1.00 | 0.93 | 0.83 | 1.06 | 2.09 | 21.83 | 1.39 | 1.01 |
time (sec) |
N/A | 0.636 | 6.086 | 0.191 | 0.319 | 0.310 | 1.408 | 0.688 | 9.236 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 146 | 155 | 197 | 311 | 3497 | 244 | 165 |
N.S. |
1 | 1.00 | 0.93 | 0.99 | 1.25 | 1.98 | 22.27 | 1.55 | 1.05 |
time (sec) |
N/A | 0.358 | 2.900 | 0.128 | 0.325 | 0.289 | 1.084 | 0.561 | 8.649 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 140 | 145 | 185 | 221 | 2995 | 241 | 163 |
N.S. |
1 | 1.00 | 1.22 | 1.26 | 1.61 | 1.92 | 26.04 | 2.10 | 1.42 |
time (sec) |
N/A | 0.167 | 2.304 | 0.091 | 0.316 | 0.256 | 0.869 | 0.535 | 8.715 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 111 | 190 | 141 | 177 | 222 | 2895 | 234 | 153 |
N.S. |
1 | 1.00 | 1.71 | 1.27 | 1.59 | 2.00 | 26.08 | 2.11 | 1.38 |
time (sec) |
N/A | 0.235 | 2.448 | 0.292 | 0.372 | 0.281 | 2.073 | 0.869 | 8.615 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 159 | 163 | 208 | 323 | 4502 | 279 | 180 |
N.S. |
1 | 1.00 | 1.16 | 1.19 | 1.52 | 2.36 | 32.86 | 2.04 | 1.31 |
time (sec) |
N/A | 0.458 | 2.607 | 0.405 | 0.350 | 0.314 | 3.788 | 1.175 | 10.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 192 | 193 | 196 | 262 | 465 | 8143 | 362 | 230 |
N.S. |
1 | 1.00 | 1.01 | 1.02 | 1.36 | 2.42 | 42.41 | 1.89 | 1.20 |
time (sec) |
N/A | 0.722 | 3.807 | 0.536 | 0.348 | 0.317 | 6.028 | 1.233 | 11.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 331 | 331 | 275 | 263 | 389 | 890 | 0 | 505 | 335 |
N.S. |
1 | 1.00 | 0.83 | 0.79 | 1.18 | 2.69 | 0.00 | 1.53 | 1.01 |
time (sec) |
N/A | 0.969 | 5.214 | 0.216 | 0.336 | 0.344 | 0.000 | 1.018 | 9.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 250 | 250 | 235 | 242 | 366 | 666 | 0 | 458 | 307 |
N.S. |
1 | 1.00 | 0.94 | 0.97 | 1.46 | 2.66 | 0.00 | 1.83 | 1.23 |
time (sec) |
N/A | 0.636 | 6.388 | 0.152 | 0.373 | 0.308 | 0.000 | 0.834 | 8.518 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 189 | 189 | 288 | 223 | 333 | 478 | 0 | 410 | 280 |
N.S. |
1 | 1.00 | 1.52 | 1.18 | 1.76 | 2.53 | 0.00 | 2.17 | 1.48 |
time (sec) |
N/A | 0.468 | 6.238 | 0.112 | 0.372 | 0.268 | 0.000 | 0.682 | 8.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 188 | 213 | 330 | 488 | 0 | 410 | 282 |
N.S. |
1 | 1.00 | 1.05 | 1.19 | 1.84 | 2.73 | 0.00 | 2.29 | 1.58 |
time (sec) |
N/A | 0.302 | 4.350 | 0.140 | 0.394 | 0.285 | 0.000 | 0.689 | 8.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 243 | 208 | 321 | 482 | 0 | 409 | 279 |
N.S. |
1 | 1.00 | 1.39 | 1.19 | 1.83 | 2.75 | 0.00 | 2.34 | 1.59 |
time (sec) |
N/A | 0.383 | 4.743 | 0.496 | 0.320 | 0.282 | 0.000 | 1.250 | 8.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 215 | 215 | 223 | 243 | 372 | 683 | 0 | 479 | 315 |
N.S. |
1 | 1.00 | 1.04 | 1.13 | 1.73 | 3.18 | 0.00 | 2.23 | 1.47 |
time (sec) |
N/A | 0.801 | 3.311 | 0.665 | 0.341 | 0.329 | 0.000 | 1.241 | 10.872 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 287 | 288 | 289 | 454 | 917 | 0 | 560 | 380 |
N.S. |
1 | 1.00 | 1.00 | 1.01 | 1.58 | 3.20 | 0.00 | 1.95 | 1.32 |
time (sec) |
N/A | 1.089 | 6.448 | 1.033 | 0.344 | 0.368 | 0.000 | 1.578 | 13.886 |
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 | 132 | 110 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.628 | 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 | 115 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.423 | 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(-1) | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 0.547 | 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(-1) | F | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 133 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.532 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F | F | F(-1) | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 328 | 328 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.928 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 353 | 353 | 300 | 347 | 416 | 415 | 1001 | 10353 | 477 |
N.S. |
1 | 1.00 | 0.85 | 0.98 | 1.18 | 1.18 | 2.84 | 29.33 | 1.35 |
time (sec) |
N/A | 0.921 | 6.420 | 0.302 | 0.397 | 0.270 | 0.294 | 9.657 | 8.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 243 | 246 | 274 | 273 | 617 | 5631 | 300 |
N.S. |
1 | 1.00 | 0.98 | 0.99 | 1.10 | 1.10 | 2.49 | 22.71 | 1.21 |
time (sec) |
N/A | 0.497 | 3.673 | 0.151 | 0.381 | 0.253 | 0.209 | 4.129 | 8.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 161 | 147 | 151 | 150 | 326 | 2475 | 153 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.94 | 0.93 | 2.02 | 15.37 | 0.95 |
time (sec) |
N/A | 0.276 | 1.691 | 0.085 | 0.403 | 0.260 | 0.145 | 1.789 | 8.420 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 76 | 75 | 74 | 74 | 131 | 761 | 75 |
N.S. |
1 | 1.00 | 1.04 | 1.03 | 1.01 | 1.01 | 1.79 | 10.42 | 1.03 |
time (sec) |
N/A | 0.063 | 0.521 | 0.053 | 0.387 | 0.239 | 0.116 | 0.778 | 8.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 155 | 148 | 173 | 183 | 226 | 2387 | 182 | 186 |
N.S. |
1 | 0.99 | 0.95 | 1.11 | 1.17 | 1.45 | 15.30 | 1.17 | 1.19 |
time (sec) |
N/A | 0.388 | 1.195 | 0.148 | 0.420 | 0.366 | 0.964 | 0.550 | 9.559 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 216 | 321 | 338 | 556 | 9721 | 518 | 1875 |
N.S. |
1 | 1.00 | 0.82 | 1.21 | 1.28 | 2.10 | 36.68 | 1.95 | 7.08 |
time (sec) |
N/A | 0.519 | 2.788 | 0.140 | 0.374 | 0.394 | 1.410 | 0.655 | 21.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 379 | 494 | 574 | 987 | 0 | 1006 | 502 |
N.S. |
1 | 1.00 | 1.18 | 1.54 | 1.79 | 3.08 | 0.00 | 3.14 | 1.57 |
time (sec) |
N/A | 0.773 | 6.337 | 0.195 | 0.419 | 0.299 | 0.000 | 0.807 | 15.528 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 661 | 661 | 573 | 546 | 691 | 690 | 1819 | 21368 | 891 |
N.S. |
1 | 1.00 | 0.87 | 0.83 | 1.05 | 1.04 | 2.75 | 32.33 | 1.35 |
time (sec) |
N/A | 2.261 | 6.735 | 0.447 | 0.351 | 0.276 | 0.393 | 23.581 | 8.861 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 443 | 443 | 383 | 392 | 463 | 462 | 1134 | 11957 | 561 |
N.S. |
1 | 1.00 | 0.86 | 0.88 | 1.05 | 1.04 | 2.56 | 26.99 | 1.27 |
time (sec) |
N/A | 1.352 | 6.552 | 0.256 | 0.388 | 0.263 | 0.296 | 10.518 | 8.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 266 | 264 | 241 | 246 | 260 | 259 | 617 | 5631 | 300 |
N.S. |
1 | 0.99 | 0.91 | 0.92 | 0.98 | 0.97 | 2.32 | 21.17 | 1.13 |
time (sec) |
N/A | 0.512 | 3.015 | 0.146 | 0.318 | 0.261 | 0.201 | 4.094 | 8.421 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 176 | 141 | 135 | 134 | 241 | 1825 | 141 |
N.S. |
1 | 1.00 | 1.34 | 1.08 | 1.03 | 1.02 | 1.84 | 13.93 | 1.08 |
time (sec) |
N/A | 0.186 | 1.133 | 0.077 | 0.292 | 0.268 | 0.132 | 1.363 | 8.379 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 254 | 252 | 190 | 317 | 290 | 397 | 4444 | 331 | 325 |
N.S. |
1 | 0.99 | 0.75 | 1.25 | 1.14 | 1.56 | 17.50 | 1.30 | 1.28 |
time (sec) |
N/A | 0.900 | 3.211 | 0.184 | 0.308 | 0.493 | 2.172 | 0.697 | 10.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 277 | 552 | 496 | 964 | 16225 | 893 | 3958 |
N.S. |
1 | 1.00 | 0.67 | 1.33 | 1.20 | 2.32 | 39.10 | 2.15 | 9.54 |
time (sec) |
N/A | 1.166 | 6.407 | 0.309 | 0.309 | 0.589 | 2.972 | 0.837 | 32.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 597 | 597 | 1041 | 865 | 839 | 1699 | 0 | 1668 | 807 |
N.S. |
1 | 1.00 | 1.74 | 1.45 | 1.41 | 2.85 | 0.00 | 2.79 | 1.35 |
time (sec) |
N/A | 1.447 | 7.045 | 0.439 | 0.331 | 0.742 | 0.000 | 1.015 | 27.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 603 | 603 | 419 | 546 | 680 | 679 | 1819 | 21368 | 891 |
N.S. |
1 | 1.00 | 0.69 | 0.91 | 1.13 | 1.13 | 3.02 | 35.44 | 1.48 |
time (sec) |
N/A | 1.663 | 6.655 | 0.435 | 0.315 | 0.285 | 0.391 | 23.088 | 8.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 389 | 387 | 297 | 347 | 387 | 386 | 1001 | 10353 | 478 |
N.S. |
1 | 0.99 | 0.76 | 0.89 | 0.99 | 0.99 | 2.57 | 26.61 | 1.23 |
time (sec) |
N/A | 0.792 | 6.368 | 0.237 | 0.323 | 0.279 | 0.275 | 9.706 | 8.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 212 | 210 | 202 | 201 | 410 | 3720 | 221 |
N.S. |
1 | 1.00 | 1.11 | 1.10 | 1.06 | 1.05 | 2.15 | 19.48 | 1.16 |
time (sec) |
N/A | 0.283 | 2.612 | 0.106 | 0.320 | 0.259 | 0.170 | 3.192 | 8.170 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 363 | 363 | 255 | 501 | 436 | 623 | 7096 | 559 | 508 |
N.S. |
1 | 1.00 | 0.70 | 1.38 | 1.20 | 1.72 | 19.55 | 1.54 | 1.40 |
time (sec) |
N/A | 1.658 | 4.894 | 0.253 | 0.345 | 0.794 | 20.196 | 0.968 | 12.193 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 574 | 574 | 1024 | 829 | 685 | 1512 | 24300 | 1329 | 701 |
N.S. |
1 | 1.00 | 1.78 | 1.44 | 1.19 | 2.63 | 42.33 | 2.32 | 1.22 |
time (sec) |
N/A | 2.390 | 7.593 | 0.364 | 0.324 | 1.156 | 26.693 | 1.133 | 15.062 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 798 | 798 | 1409 | 1271 | 1119 | 2549 | 0 | 2441 | 1172 |
N.S. |
1 | 1.00 | 1.77 | 1.59 | 1.40 | 3.19 | 0.00 | 3.06 | 1.47 |
time (sec) |
N/A | 2.959 | 7.565 | 0.496 | 0.390 | 1.444 | 0.000 | 1.358 | 17.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 258 | 500 | 445 | 627 | 7096 | 559 | 508 |
N.S. |
1 | 1.00 | 0.77 | 1.48 | 1.32 | 1.86 | 21.06 | 1.66 | 1.51 |
time (sec) |
N/A | 1.618 | 4.863 | 0.245 | 0.473 | 0.773 | 20.489 | 0.964 | 12.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 190 | 317 | 294 | 390 | 4444 | 331 | 325 |
N.S. |
1 | 1.00 | 0.81 | 1.34 | 1.25 | 1.65 | 18.83 | 1.40 | 1.38 |
time (sec) |
N/A | 0.880 | 3.228 | 0.208 | 0.438 | 0.468 | 2.234 | 0.672 | 10.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 148 | 173 | 178 | 212 | 2387 | 182 | 186 |
N.S. |
1 | 1.00 | 0.95 | 1.11 | 1.14 | 1.36 | 15.30 | 1.17 | 1.19 |
time (sec) |
N/A | 0.378 | 1.176 | 0.147 | 0.394 | 0.325 | 0.924 | 0.528 | 9.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 117 | 100 | 106 | 118 | 966 | 106 | 109 |
N.S. |
1 | 1.00 | 1.18 | 1.01 | 1.07 | 1.19 | 9.76 | 1.07 | 1.10 |
time (sec) |
N/A | 0.114 | 0.238 | 0.099 | 0.399 | 0.272 | 0.582 | 0.475 | 8.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 164 | 313 | 197 | 243 | 301 | 24052 | 268 | 196 |
N.S. |
1 | 0.99 | 1.90 | 1.19 | 1.47 | 1.82 | 145.77 | 1.62 | 1.19 |
time (sec) |
N/A | 0.305 | 1.617 | 0.275 | 0.562 | 0.455 | 34.895 | 0.602 | 20.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 572 | 364 | 520 | 1345 | 0 | 832 | 393 |
N.S. |
1 | 1.00 | 2.04 | 1.30 | 1.85 | 4.79 | 0.00 | 2.96 | 1.40 |
time (sec) |
N/A | 0.866 | 7.287 | 0.521 | 0.329 | 1.075 | 0.000 | 0.769 | 60.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 477 | 477 | 898 | 647 | 1096 | 3643 | 0 | 2080 | 65819 |
N.S. |
1 | 1.00 | 1.88 | 1.36 | 2.30 | 7.64 | 0.00 | 4.36 | 137.99 |
time (sec) |
N/A | 1.937 | 8.915 | 1.580 | 0.381 | 3.390 | 0.000 | 1.095 | 22.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 579 | 579 | 1022 | 829 | 684 | 1477 | 24300 | 1327 | 701 |
N.S. |
1 | 1.00 | 1.77 | 1.43 | 1.18 | 2.55 | 41.97 | 2.29 | 1.21 |
time (sec) |
N/A | 2.523 | 7.599 | 0.336 | 0.337 | 1.103 | 27.015 | 1.138 | 15.618 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 417 | 417 | 277 | 552 | 493 | 939 | 16225 | 893 | 3958 |
N.S. |
1 | 1.00 | 0.66 | 1.32 | 1.18 | 2.25 | 38.91 | 2.14 | 9.49 |
time (sec) |
N/A | 1.203 | 5.568 | 0.270 | 0.340 | 0.561 | 3.011 | 0.781 | 33.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 292 | 288 | 221 | 321 | 319 | 505 | 9721 | 515 | 1875 |
N.S. |
1 | 0.99 | 0.76 | 1.10 | 1.09 | 1.73 | 33.29 | 1.76 | 6.42 |
time (sec) |
N/A | 0.548 | 2.479 | 0.245 | 0.320 | 0.338 | 1.619 | 0.622 | 21.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | C | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 207 | 173 | 205 | 256 | 4396 | 291 | 184 |
N.S. |
1 | 1.00 | 1.48 | 1.24 | 1.46 | 1.83 | 31.40 | 2.08 | 1.31 |
time (sec) |
N/A | 0.254 | 2.714 | 0.085 | 0.339 | 0.265 | 0.918 | 0.545 | 10.549 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 293 | 293 | 592 | 365 | 513 | 1275 | 0 | 832 | 430 |
N.S. |
1 | 1.00 | 2.02 | 1.25 | 1.75 | 4.35 | 0.00 | 2.84 | 1.47 |
time (sec) |
N/A | 0.898 | 7.593 | 0.398 | 0.354 | 1.110 | 0.000 | 0.767 | 65.171 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 509 | 508 | 984 | 577 | 1185 | 4174 | 0 | 2823 | 73684 |
N.S. |
1 | 1.00 | 1.93 | 1.13 | 2.33 | 8.20 | 0.00 | 5.55 | 144.76 |
time (sec) |
N/A | 2.292 | 9.124 | 1.811 | 0.414 | 3.540 | 0.000 | 1.074 | 25.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 841 | 841 | 1758 | 951 | 2519 | 9594 | 0 | 3115 | 128667 |
N.S. |
1 | 1.00 | 2.09 | 1.13 | 3.00 | 11.41 | 0.00 | 3.70 | 152.99 |
time (sec) |
N/A | 4.426 | 8.883 | 6.321 | 0.483 | 10.632 | 0.000 | 1.102 | 44.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 804 | 804 | 454 | 1271 | 1110 | 2490 | 0 | 2441 | 1172 |
N.S. |
1 | 1.00 | 0.56 | 1.58 | 1.38 | 3.10 | 0.00 | 3.04 | 1.46 |
time (sec) |
N/A | 2.971 | 7.366 | 0.581 | 0.369 | 1.326 | 0.000 | 1.388 | 18.168 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 597 | 597 | 1044 | 865 | 827 | 1618 | 0 | 1663 | 807 |
N.S. |
1 | 1.00 | 1.75 | 1.45 | 1.39 | 2.71 | 0.00 | 2.79 | 1.35 |
time (sec) |
N/A | 1.451 | 6.980 | 0.400 | 0.341 | 0.649 | 0.000 | 1.047 | 27.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 352 | 349 | 378 | 493 | 543 | 897 | 0 | 1006 | 502 |
N.S. |
1 | 0.99 | 1.07 | 1.40 | 1.54 | 2.55 | 0.00 | 2.86 | 1.43 |
time (sec) |
N/A | 0.743 | 6.404 | 0.171 | 0.338 | 0.291 | 0.000 | 0.809 | 15.424 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 209 | 209 | 261 | 262 | 367 | 566 | 0 | 531 | 327 |
N.S. |
1 | 1.00 | 1.25 | 1.25 | 1.76 | 2.71 | 0.00 | 2.54 | 1.56 |
time (sec) |
N/A | 0.445 | 5.515 | 0.142 | 0.330 | 0.297 | 0.000 | 0.689 | 10.858 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 487 | 487 | 912 | 649 | 1078 | 3496 | 0 | 2078 | 65817 |
N.S. |
1 | 1.00 | 1.87 | 1.33 | 2.21 | 7.18 | 0.00 | 4.27 | 135.15 |
time (sec) |
N/A | 2.063 | 9.018 | 1.771 | 0.381 | 4.009 | 0.000 | 1.036 | 23.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 861 | 860 | 1732 | 949 | 2537 | 9567 | 0 | 3115 | 128666 |
N.S. |
1 | 1.00 | 2.01 | 1.10 | 2.95 | 11.11 | 0.00 | 3.62 | 149.44 |
time (sec) |
N/A | 4.762 | 8.626 | 5.789 | 0.550 | 12.033 | 0.000 | 1.100 | 43.729 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-1) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 464 | 464 | 1232 | 4473 | 0 | 35153 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.66 | 9.64 | 0.00 | 75.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.701 | 6.545 | 0.531 | 0.000 | 10.873 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 314 | 3353 | 0 | 23984 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 10.32 | 0.00 | 73.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.458 | 5.243 | 0.158 | 0.000 | 4.685 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 224 | 220 | 2218 | 0 | 12410 | 0 | 0 | 22955 |
N.S. |
1 | 1.00 | 0.98 | 9.90 | 0.00 | 55.40 | 0.00 | 0.00 | 102.48 |
time (sec) |
N/A | 0.703 | 2.159 | 0.182 | 0.000 | 1.664 | 0.000 | 0.000 | 57.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 155 | 155 | 150 | 1312 | 0 | 2588 | 0 | 0 | 1199 |
N.S. |
1 | 1.00 | 0.97 | 8.46 | 0.00 | 16.70 | 0.00 | 0.00 | 7.74 |
time (sec) |
N/A | 0.331 | 0.592 | 0.129 | 0.000 | 0.353 | 0.000 | 0.000 | 16.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-2) | F(-1) | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 233 | 3576 | 0 | 0 | 0 | 0 | 62245 |
N.S. |
1 | 1.00 | 1.00 | 15.28 | 0.00 | 0.00 | 0.00 | 0.00 | 266.00 |
time (sec) |
N/A | 1.192 | 0.761 | 0.153 | 0.000 | 0.000 | 0.000 | 0.000 | 33.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | F(-1) | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 764 | 5778 | 0 | 0 | 0 | 0 | 138318 |
N.S. |
1 | 1.00 | 2.41 | 18.23 | 0.00 | 0.00 | 0.00 | 0.00 | 436.33 |
time (sec) |
N/A | 1.535 | 6.461 | 0.133 | 0.000 | 0.000 | 0.000 | 0.000 | 42.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | B | F(-2) | F(-1) | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 543 | 543 | 2819 | 9797 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 5.19 | 18.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.683 | 6.721 | 0.150 | 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(-1) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 550 | 550 | 1290 | 10952 | 0 | 84950 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.35 | 19.91 | 0.00 | 154.45 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 2.854 | 6.574 | 0.335 | 0.000 | 194.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 396 | 396 | 510 | 7939 | 0 | 58971 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.29 | 20.05 | 0.00 | 148.92 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.835 | 6.434 | 0.212 | 0.000 | 69.930 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F(-1) | B | F | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 260 | 5107 | 0 | 31081 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 18.71 | 0.00 | 113.85 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.998 | 4.837 | 0.194 | 0.000 | 16.158 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 202 | 2500 | 0 | 6846 | 0 | 0 | 4260 |
N.S. |
1 | 1.00 | 1.08 | 13.37 | 0.00 | 36.61 | 0.00 | 0.00 | 22.78 |
time (sec) |
N/A | 0.492 | 1.319 | 0.138 | 0.000 | 0.950 | 0.000 | 0.000 | 42.332 |