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 | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 50 | 0 | 0 | 0 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.46 |
time (sec) |
N/A | 0.209 | 0.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 534 | 0 | 244 | 0 | 0 | 181 |
N.S. |
1 | 1.00 | 1.00 | 18.41 | 0.00 | 8.41 | 0.00 | 0.00 | 6.24 |
time (sec) |
N/A | 0.194 | 0.006 | 0.529 | 0.000 | 0.273 | 0.000 | 0.000 | 0.387 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 368 | 0 | 175 | 0 | 0 | 148 |
N.S. |
1 | 1.00 | 1.00 | 13.14 | 0.00 | 6.25 | 0.00 | 0.00 | 5.29 |
time (sec) |
N/A | 0.193 | 0.006 | 0.457 | 0.000 | 0.286 | 0.000 | 0.000 | 0.375 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 116 | 76 | 234 | 0 | 120 | 0 | 0 | 89 |
N.S. |
1 | 0.97 | 0.64 | 1.97 | 0.00 | 1.01 | 0.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.387 | 0.051 | 0.330 | 0.000 | 0.289 | 0.000 | 0.000 | 0.535 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 81 | 58 | 133 | 0 | 77 | 0 | 0 | 82 |
N.S. |
1 | 0.95 | 0.68 | 1.56 | 0.00 | 0.91 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.306 | 0.037 | 0.104 | 0.000 | 0.254 | 0.000 | 0.000 | 2.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 42 | 61 | 0 | 51 | 0 | 0 | 47 |
N.S. |
1 | 1.00 | 0.91 | 1.33 | 0.00 | 1.11 | 0.00 | 0.00 | 1.02 |
time (sec) |
N/A | 0.228 | 0.022 | 0.075 | 0.000 | 0.295 | 0.000 | 0.000 | 0.906 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 22 | 0 | 20 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.10 | 0.00 | 1.00 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.186 | 0.005 | 0.310 | 0.000 | 0.287 | 0.000 | 0.000 | 0.318 |
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 | 25 | 25 | 25 | 26 | 25 | 31 | 34 | 31 | 25 |
N.S. |
1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.24 | 1.36 | 1.24 | 1.00 |
time (sec) |
N/A | 0.189 | 0.008 | 0.254 | 0.215 | 0.289 | 0.123 | 0.312 | 1.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 41 | 51 | 0 | 51 | 44 | 0 | 41 |
N.S. |
1 | 1.00 | 0.72 | 0.89 | 0.00 | 0.89 | 0.77 | 0.00 | 0.72 |
time (sec) |
N/A | 0.280 | 0.014 | 0.365 | 0.000 | 0.285 | 0.098 | 0.000 | 2.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 99 | 60 | 79 | 0 | 95 | 102 | 0 | 104 |
N.S. |
1 | 1.10 | 0.67 | 0.88 | 0.00 | 1.06 | 1.13 | 0.00 | 1.16 |
time (sec) |
N/A | 0.349 | 0.019 | 0.427 | 0.000 | 0.256 | 0.117 | 0.000 | 2.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 141 | 76 | 125 | 0 | 150 | 177 | 0 | 161 |
N.S. |
1 | 1.16 | 0.62 | 1.02 | 0.00 | 1.23 | 1.45 | 0.00 | 1.32 |
time (sec) |
N/A | 0.448 | 0.026 | 0.544 | 0.000 | 0.268 | 0.139 | 0.000 | 0.467 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 29 | 189 | 0 | 219 | 272 | 0 | 231 |
N.S. |
1 | 1.00 | 0.32 | 2.05 | 0.00 | 2.38 | 2.96 | 0.00 | 2.51 |
time (sec) |
N/A | 0.242 | 0.006 | 0.627 | 0.000 | 0.285 | 0.159 | 0.000 | 0.555 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 108 | 28 | 271 | 0 | 302 | 388 | 0 | 315 |
N.S. |
1 | 1.00 | 0.26 | 2.51 | 0.00 | 2.80 | 3.59 | 0.00 | 2.92 |
time (sec) |
N/A | 0.255 | 0.006 | 0.750 | 0.000 | 0.287 | 0.191 | 0.000 | 0.647 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.208 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.449 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 961 | 0 | 465 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 31.00 | 0.00 | 15.00 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.193 | 0.008 | 3.276 | 0.000 | 0.304 | 0.000 | 0.000 | 0.585 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 646 | 0 | 331 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 20.84 | 0.00 | 10.68 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.193 | 0.007 | 1.983 | 0.000 | 0.293 | 0.000 | 0.000 | 0.475 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 123 | 96 | 395 | 0 | 225 | 0 | 0 | 92 |
N.S. |
1 | 1.02 | 0.79 | 3.26 | 0.00 | 1.86 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.421 | 0.103 | 1.026 | 0.000 | 0.269 | 0.000 | 0.000 | 0.447 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 88 | 71 | 208 | 0 | 145 | 0 | 0 | 76 |
N.S. |
1 | 1.01 | 0.82 | 2.39 | 0.00 | 1.67 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.335 | 0.027 | 0.573 | 0.000 | 0.285 | 0.000 | 0.000 | 0.358 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 86 | 0 | 96 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.89 | 1.62 | 0.00 | 1.81 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.244 | 0.018 | 0.147 | 0.000 | 0.256 | 0.000 | 0.000 | 2.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 23 | 0 | 31 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 1.05 | 0.00 | 1.41 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.180 | 0.006 | 0.274 | 0.000 | 0.266 | 0.000 | 0.000 | 0.417 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 54 | 53 | 54 | 37 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.93 | 2.00 | 1.96 | 2.00 | 1.37 |
time (sec) |
N/A | 0.182 | 0.008 | 0.431 | 0.242 | 0.271 | 0.149 | 0.335 | 0.252 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 47 | 74 | 101 | 100 | 82 | 0 | 97 |
N.S. |
1 | 1.00 | 0.76 | 1.19 | 1.63 | 1.61 | 1.32 | 0.00 | 1.56 |
time (sec) |
N/A | 0.263 | 0.020 | 0.648 | 0.251 | 0.280 | 0.137 | 0.000 | 0.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 106 | 64 | 127 | 208 | 180 | 189 | 1703 | 183 |
N.S. |
1 | 1.16 | 0.70 | 1.40 | 2.29 | 1.98 | 2.08 | 18.71 | 2.01 |
time (sec) |
N/A | 0.350 | 0.025 | 1.054 | 0.253 | 0.309 | 0.185 | 0.472 | 0.568 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 150 | 81 | 216 | 349 | 287 | 333 | 0 | 292 |
N.S. |
1 | 1.19 | 0.64 | 1.71 | 2.77 | 2.28 | 2.64 | 0.00 | 2.32 |
time (sec) |
N/A | 0.455 | 0.031 | 1.678 | 0.289 | 0.316 | 0.223 | 0.000 | 0.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 31 | 341 | 526 | 420 | 518 | 0 | 427 |
N.S. |
1 | 1.00 | 0.32 | 3.55 | 5.48 | 4.38 | 5.40 | 0.00 | 4.45 |
time (sec) |
N/A | 0.247 | 0.007 | 2.785 | 0.275 | 0.295 | 0.346 | 0.000 | 1.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 31 | 502 | 740 | 583 | 745 | 0 | 583 |
N.S. |
1 | 1.00 | 0.27 | 4.44 | 6.55 | 5.16 | 6.59 | 0.00 | 5.16 |
time (sec) |
N/A | 0.266 | 0.007 | 4.502 | 0.249 | 0.301 | 1.550 | 0.000 | 1.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 1173 | 0 | 561 | 0 | 0 | 265 |
N.S. |
1 | 1.00 | 1.00 | 23.94 | 0.00 | 11.45 | 0.00 | 0.00 | 5.41 |
time (sec) |
N/A | 0.220 | 0.021 | 4.191 | 0.000 | 0.288 | 0.000 | 0.000 | 0.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 826 | 0 | 413 | 0 | 0 | 232 |
N.S. |
1 | 1.00 | 1.00 | 16.86 | 0.00 | 8.43 | 0.00 | 0.00 | 4.73 |
time (sec) |
N/A | 0.203 | 0.019 | 2.623 | 0.000 | 0.327 | 0.000 | 0.000 | 0.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 172 | 113 | 543 | 0 | 293 | 0 | 0 | 199 |
N.S. |
1 | 1.01 | 0.66 | 3.19 | 0.00 | 1.72 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.551 | 0.095 | 1.522 | 0.000 | 0.286 | 0.000 | 0.000 | 1.100 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 137 | 97 | 324 | 0 | 201 | 0 | 0 | 166 |
N.S. |
1 | 1.01 | 0.71 | 2.38 | 0.00 | 1.48 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.458 | 0.071 | 0.737 | 0.000 | 0.262 | 0.000 | 0.000 | 0.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 79 | 169 | 0 | 130 | 0 | 0 | 97 |
N.S. |
1 | 1.00 | 0.77 | 1.66 | 0.00 | 1.27 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.352 | 0.056 | 0.584 | 0.000 | 0.274 | 0.000 | 0.000 | 0.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 63 | 74 | 0 | 91 | 0 | 0 | 62 |
N.S. |
1 | 1.00 | 0.94 | 1.10 | 0.00 | 1.36 | 0.00 | 0.00 | 0.93 |
time (sec) |
N/A | 0.268 | 0.031 | 0.109 | 0.000 | 0.292 | 0.000 | 0.000 | 1.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 35 | 0 | 45 | 0 | 0 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.76 | 0.00 | 0.98 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.220 | 0.009 | 0.427 | 0.000 | 0.306 | 0.000 | 0.000 | 0.429 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 81 | 76 | 0 | 117 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 1.44 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.311 | 0.034 | 0.694 | 0.000 | 0.271 | 0.000 | 0.000 | 0.621 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 127 | 95 | 109 | 0 | 199 | 0 | 0 | 105 |
N.S. |
1 | 1.10 | 0.83 | 0.95 | 0.00 | 1.73 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.411 | 0.064 | 1.401 | 0.000 | 0.293 | 0.000 | 0.000 | 0.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 149 | 173 | 111 | 142 | 0 | 305 | 0 | 0 | 142 |
N.S. |
1 | 1.16 | 0.74 | 0.95 | 0.00 | 2.05 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.535 | 0.094 | 2.389 | 0.000 | 0.283 | 0.000 | 0.000 | 0.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 183 | 219 | 127 | 175 | 0 | 439 | 0 | 0 | 160 |
N.S. |
1 | 1.20 | 0.69 | 0.96 | 0.00 | 2.40 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.628 | 0.120 | 4.230 | 0.000 | 0.283 | 0.000 | 0.000 | 1.249 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 208 | 0 | 601 | 0 | 0 | 189 |
N.S. |
1 | 1.00 | 1.00 | 4.24 | 0.00 | 12.27 | 0.00 | 0.00 | 3.86 |
time (sec) |
N/A | 0.192 | 0.030 | 7.001 | 0.000 | 0.129 | 0.000 | 0.000 | 1.505 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 241 | 0 | 791 | 0 | 0 | 217 |
N.S. |
1 | 1.00 | 1.00 | 4.92 | 0.00 | 16.14 | 0.00 | 0.00 | 4.43 |
time (sec) |
N/A | 0.191 | 0.020 | 10.957 | 0.000 | 0.139 | 0.000 | 0.000 | 1.722 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.206 | 0.028 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.452 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 686 | 0 | 0 | 136 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 22.13 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.196 | 0.009 | 0.000 | 0.000 | 0.337 | 0.000 | 0.000 | 0.652 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 0 | 0 | 487 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 15.71 | 0.00 | 0.00 | 3.87 |
time (sec) |
N/A | 0.189 | 0.009 | 0.000 | 0.000 | 0.297 | 0.000 | 0.000 | 0.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 123 | 96 | 0 | 0 | 330 | 0 | 0 | 92 |
N.S. |
1 | 1.02 | 0.79 | 0.00 | 0.00 | 2.73 | 0.00 | 0.00 | 0.76 |
time (sec) |
N/A | 0.432 | 0.128 | 0.000 | 0.000 | 0.301 | 0.000 | 0.000 | 0.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 88 | 71 | 0 | 0 | 213 | 0 | 0 | 76 |
N.S. |
1 | 1.01 | 0.82 | 0.00 | 0.00 | 2.45 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.355 | 0.036 | 0.000 | 0.000 | 0.281 | 0.000 | 0.000 | 0.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 47 | 0 | 0 | 141 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.89 | 0.00 | 0.00 | 2.66 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.259 | 0.024 | 0.000 | 0.000 | 0.297 | 0.000 | 0.000 | 0.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 0 | 0 | 42 | 0 | 0 | 20 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.91 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.185 | 0.006 | 0.000 | 0.000 | 0.305 | 0.000 | 0.000 | 0.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 26 | 25 | 77 | 65 | 77 | 48 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.93 | 2.85 | 2.41 | 2.85 | 1.78 |
time (sec) |
N/A | 0.190 | 0.010 | 0.624 | 0.206 | 0.401 | 0.179 | 0.338 | 0.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 47 | 97 | 144 | 148 | 114 | 0 | 136 |
N.S. |
1 | 1.00 | 0.76 | 1.56 | 2.32 | 2.39 | 1.84 | 0.00 | 2.19 |
time (sec) |
N/A | 0.293 | 0.023 | 1.510 | 0.231 | 0.321 | 0.153 | 0.000 | 0.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 106 | 64 | 175 | 300 | 265 | 270 | 0 | 263 |
N.S. |
1 | 1.10 | 0.67 | 1.82 | 3.12 | 2.76 | 2.81 | 0.00 | 2.74 |
time (sec) |
N/A | 0.353 | 0.030 | 3.004 | 0.233 | 0.302 | 0.216 | 0.000 | 0.795 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 123 | 150 | 73 | 307 | 507 | 423 | 484 | 0 | 422 |
N.S. |
1 | 1.22 | 0.59 | 2.50 | 4.12 | 3.44 | 3.93 | 0.00 | 3.43 |
time (sec) |
N/A | 0.462 | 0.025 | 6.034 | 0.343 | 0.334 | 0.394 | 0.000 | 1.281 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 31 | 493 | 770 | 621 | 760 | 0 | 620 |
N.S. |
1 | 1.00 | 0.32 | 5.14 | 8.02 | 6.47 | 7.92 | 0.00 | 6.46 |
time (sec) |
N/A | 0.254 | 0.008 | 10.782 | 0.450 | 0.318 | 3.921 | 0.000 | 1.805 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 31 | 733 | 1085 | 863 | 1096 | 0 | 854 |
N.S. |
1 | 1.00 | 0.27 | 6.49 | 9.60 | 7.64 | 9.70 | 0.00 | 7.56 |
time (sec) |
N/A | 0.277 | 0.008 | 17.856 | 0.286 | 0.383 | 52.112 | 0.000 | 2.544 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 178 | 0 | 0 | 128 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 3.63 | 0.00 | 0.00 | 2.61 |
time (sec) |
N/A | 0.205 | 0.023 | 0.000 | 0.000 | 0.085 | 0.000 | 0.000 | 0.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 142 | 0 | 0 | 107 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.90 | 0.00 | 0.00 | 2.18 |
time (sec) |
N/A | 0.190 | 0.016 | 0.000 | 0.000 | 0.097 | 0.000 | 0.000 | 1.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 0 | 0 | 129 | 0 | 0 | 71 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 2.74 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.170 | 0.010 | 0.000 | 0.000 | 0.106 | 0.000 | 0.000 | 0.637 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 59 | 0 | 0 | 58 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.20 | 0.00 | 0.00 | 1.18 |
time (sec) |
N/A | 0.203 | 0.020 | 0.000 | 0.000 | 0.100 | 0.000 | 0.000 | 0.470 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 58 | 0 | 0 | 48 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.18 | 0.00 | 0.00 | 0.98 |
time (sec) |
N/A | 0.203 | 0.020 | 0.000 | 0.000 | 0.103 | 0.000 | 0.000 | 0.431 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F(-1) | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 0 | 0 | 155 | 0 | 0 | 114 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 3.16 | 0.00 | 0.00 | 2.33 |
time (sec) |
N/A | 0.203 | 0.025 | 0.000 | 0.000 | 0.097 | 0.000 | 0.000 | 0.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 61 | 0 | 0 | 0 | 0 | 0 | 93 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.52 |
time (sec) |
N/A | 0.206 | 0.017 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.840 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.208 | 0.013 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.564 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.35 |
time (sec) |
N/A | 0.201 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.528 |
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 | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.011 | 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 | 50 | 50 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 0.008 | 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 | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 26 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.18 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.005 | 0.392 | 0.000 | 0.289 | 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 | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 52 | 0 | 0 | 0 | 0 | 0 | 71 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.196 | 0.012 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.350 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 67 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.24 |
time (sec) |
N/A | 0.195 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 0 | 0 | 0 | 0 | 0 | 71 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.197 | 0.008 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.353 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 32 | 113 | 129 | 116 | 287 | 0 | 0 |
N.S. |
1 | 1.00 | 0.28 | 0.99 | 1.13 | 1.02 | 2.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.284 | 0.006 | 0.479 | 0.290 | 0.290 | 38.922 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 94 | 31 | 95 | 108 | 98 | 253 | 0 | 0 |
N.S. |
1 | 1.00 | 0.33 | 1.01 | 1.15 | 1.04 | 2.69 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.006 | 0.421 | 0.218 | 0.267 | 24.652 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 155 | 32 | 77 | 87 | 80 | 219 | 0 | 0 |
N.S. |
1 | 1.13 | 0.23 | 0.56 | 0.64 | 0.58 | 1.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.482 | 0.006 | 0.519 | 0.223 | 0.289 | 16.034 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 109 | 31 | 59 | 66 | 62 | 185 | 0 | 0 |
N.S. |
1 | 1.09 | 0.31 | 0.59 | 0.66 | 0.62 | 1.85 | 0.00 | 0.00 |
time (sec) |
N/A | 0.346 | 0.007 | 0.437 | 0.230 | 0.294 | 10.939 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 32 | 41 | 45 | 44 | 150 | 0 | 0 |
N.S. |
1 | 1.00 | 0.51 | 0.65 | 0.71 | 0.70 | 2.38 | 0.00 | 0.00 |
time (sec) |
N/A | 0.260 | 0.006 | 0.632 | 0.217 | 0.296 | 4.183 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 28 | 27 | 31 | 104 | 27 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.15 | 3.85 | 1.00 | 1.00 |
time (sec) |
N/A | 0.186 | 0.008 | 0.634 | 0.188 | 0.285 | 3.081 | 0.330 | 0.290 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 22 | 26 | 0 | 22 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 1.18 | 0.00 | 1.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.000 | 0.371 | 0.000 | 0.327 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 27 | 61 | 0 | 62 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 1.09 | 0.00 | 1.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.251 | 0.006 | 0.583 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 96 | 32 | 99 | 0 | 84 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.32 | 0.99 | 0.00 | 0.84 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.343 | 0.007 | 0.626 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 136 | 31 | 137 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.22 | 0.99 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.420 | 0.007 | 0.645 | 0.000 | 0.309 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 145 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 4.53 | 0.00 | 3.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.006 | 0.645 | 0.000 | 0.303 | 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 | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 31 | 174 | 0 | 137 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 5.61 | 0.00 | 4.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.006 | 0.644 | 0.000 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 36 | 0 | 50 | 0 | 37 | 39 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 0.00 | 1.06 | 0.00 | 0.79 | 0.83 |
time (sec) |
N/A | 0.209 | 0.010 | 0.727 | 0.000 | 0.300 | 0.000 | 0.376 | 0.873 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 34 | 0 | 47 | 0 | 35 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.72 | 0.00 | 1.00 | 0.00 | 0.74 | 0.74 |
time (sec) |
N/A | 0.218 | 0.007 | 0.410 | 0.000 | 0.329 | 0.000 | 0.324 | 0.687 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 518 | 518 | 412 | 1837 | 1456 | 531 | 0 | 704 | 716 |
N.S. |
1 | 1.00 | 0.80 | 3.55 | 2.81 | 1.03 | 0.00 | 1.36 | 1.38 |
time (sec) |
N/A | 1.163 | 1.347 | 0.483 | 0.789 | 0.314 | 0.000 | 0.328 | 0.742 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 389 | 389 | 220 | 1198 | 1052 | 364 | 0 | 418 | 517 |
N.S. |
1 | 1.00 | 0.57 | 3.08 | 2.70 | 0.94 | 0.00 | 1.07 | 1.33 |
time (sec) |
N/A | 0.850 | 1.208 | 0.315 | 0.644 | 0.321 | 0.000 | 0.308 | 0.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 148 | 707 | 695 | 208 | 0 | 248 | 313 |
N.S. |
1 | 1.00 | 0.57 | 2.74 | 2.69 | 0.81 | 0.00 | 0.96 | 1.21 |
time (sec) |
N/A | 0.623 | 1.066 | 0.362 | 0.556 | 0.322 | 0.000 | 0.360 | 0.479 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 105 | 384 | 422 | 135 | 0 | 152 | 194 |
N.S. |
1 | 1.00 | 0.62 | 2.26 | 2.48 | 0.79 | 0.00 | 0.89 | 1.14 |
time (sec) |
N/A | 0.459 | 0.997 | 0.326 | 0.433 | 0.298 | 0.000 | 0.329 | 0.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 74 | 162 | 195 | 85 | 0 | 93 | 96 |
N.S. |
1 | 1.00 | 0.91 | 2.00 | 2.41 | 1.05 | 0.00 | 1.15 | 1.19 |
time (sec) |
N/A | 0.296 | 0.494 | 0.033 | 0.342 | 0.303 | 0.000 | 0.339 | 0.334 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 44 | 58 | 58 | 48 | 0 | 36 | 48 |
N.S. |
1 | 1.00 | 1.00 | 1.32 | 1.32 | 1.09 | 0.00 | 0.82 | 1.09 |
time (sec) |
N/A | 0.165 | 0.003 | 0.004 | 0.211 | 0.265 | 0.000 | 0.310 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 23 | 33 | 17 | 23 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 1.57 | 0.81 | 1.10 | 1.10 |
time (sec) |
N/A | 0.207 | 0.765 | 0.027 | 0.299 | 0.280 | 0.593 | 0.379 | 0.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 23 | 44 | 19 | 23 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 2.10 | 0.90 | 1.10 | 1.10 |
time (sec) |
N/A | 0.439 | 1.530 | 0.026 | 0.302 | 0.299 | 0.779 | 0.529 | 1.605 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 21 | 23 | 55 | 19 | 23 | 23 |
N.S. |
1 | 1.00 | 1.10 | 1.00 | 1.10 | 2.62 | 0.90 | 1.10 | 1.10 |
time (sec) |
N/A | 0.748 | 1.563 | 0.028 | 0.341 | 0.300 | 1.099 | 0.368 | 4.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 167 | 0 | 0 | 239 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.00 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.458 | 0.000 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 117 | 0 | 0 | 175 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.307 | 0.350 | 0.000 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 86 | 0 | 0 | 110 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 0.00 | 0.00 | 1.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.327 | 0.000 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 0 | 0 | 52 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.043 | 0.000 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 43 | 48 | 20 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.26 | 2.53 | 1.05 | 1.05 |
time (sec) |
N/A | 0.172 | 0.496 | 0.027 | 0.315 | 0.276 | 54.785 | 0.368 | 0.239 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A | N/A |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 21 | 18 | 20 | 54 | 1 | 1 | 20 |
N.S. |
1 | 1.00 | 1.11 | 0.95 | 1.05 | 2.84 | 0.05 | 0.05 | 1.05 |
time (sec) |
N/A | 0.579 | 2.213 | 0.029 | 0.327 | 0.271 | 0.000 | 0.442 | 0.269 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 66 | 106 | 0 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.93 | 1.49 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.729 | 0.088 | 0.322 | 0.000 | 0.315 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 126 | 116 | 191 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.00 | 1.65 | 0.00 | 1.54 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.139 | 0.221 | 0.489 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 267 | 257 | 0 | 506 | 0 | 555 | 0 | 0 | 0 |
N.S. |
1 | 0.96 | 0.00 | 1.90 | 0.00 | 2.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.940 | 0.000 | 0.670 | 0.000 | 0.335 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 460 | 454 | 0 | 922 | 0 | 1376 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 0.00 | 2.00 | 0.00 | 2.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 3.659 | 0.000 | 0.815 | 0.000 | 0.311 | 0.000 | 0.000 | 0.000 |