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 | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 13 | 13 | 12 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 0.87 | 0.87 | 0.80 | 0.87 | 0.87 |
time (sec) |
N/A | 0.118 | 0.002 | 0.315 | 0.195 | 0.242 | 0.017 | 0.300 | 0.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | C | B | F | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 49 | 37 | 34 | 41 | 0 | 42 | 41 | 43 |
N.S. |
1 | 3.27 | 2.47 | 2.27 | 2.73 | 0.00 | 2.80 | 2.73 | 2.87 |
time (sec) |
N/A | 0.238 | 0.019 | 0.342 | 0.187 | 0.000 | 4.721 | 0.283 | 0.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 60 | 73 | 0 | 100 | 0 | 177 | 204 |
N.S. |
1 | 1.00 | 0.73 | 0.89 | 0.00 | 1.22 | 0.00 | 2.16 | 2.49 |
time (sec) |
N/A | 0.251 | 0.188 | 0.201 | 0.000 | 0.247 | 0.000 | 0.292 | 0.568 |
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 | 43 | 43 | 71 | 52 | 0 | 80 | 0 | 94 | 0 |
N.S. |
1 | 1.00 | 1.65 | 1.21 | 0.00 | 1.86 | 0.00 | 2.19 | 0.00 |
time (sec) |
N/A | 0.155 | 0.074 | 0.460 | 0.000 | 0.243 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 73 | 115 | 0 | 105 | 0 | 133 | 82 |
N.S. |
1 | 1.00 | 0.99 | 1.55 | 0.00 | 1.42 | 0.00 | 1.80 | 1.11 |
time (sec) |
N/A | 0.239 | 0.065 | 0.024 | 0.000 | 0.240 | 0.000 | 0.323 | 1.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 70 | 65 | 53 | 89 | 0 | 84 | 0 |
N.S. |
1 | 1.00 | 1.09 | 1.02 | 0.83 | 1.39 | 0.00 | 1.31 | 0.00 |
time (sec) |
N/A | 0.184 | 0.186 | 0.424 | 0.272 | 0.243 | 0.000 | 0.286 | 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 | 48 | 48 | 55 | 37 | 0 | 83 | 0 | 101 | 0 |
N.S. |
1 | 1.00 | 1.15 | 0.77 | 0.00 | 1.73 | 0.00 | 2.10 | 0.00 |
time (sec) |
N/A | 0.150 | 0.104 | 0.416 | 0.000 | 0.238 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 26 | 21 | 0 | 18 | 53 | 20 | 21 |
N.S. |
1 | 1.00 | 0.87 | 0.70 | 0.00 | 0.60 | 1.77 | 0.67 | 0.70 |
time (sec) |
N/A | 0.242 | 0.181 | 0.329 | 0.000 | 0.235 | 0.292 | 0.281 | 0.438 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 365 | 195 | 1206 | 0 | 450 | 0 | 367 | 0 |
N.S. |
1 | 1.66 | 0.89 | 5.48 | 0.00 | 2.05 | 0.00 | 1.67 | 0.00 |
time (sec) |
N/A | 0.694 | 6.105 | 0.324 | 0.000 | 0.245 | 0.000 | 1.489 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | F | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 220 | 541 | 195 | 1637 | 0 | 450 | 0 | 358 | 0 |
N.S. |
1 | 2.46 | 0.89 | 7.44 | 0.00 | 2.05 | 0.00 | 1.63 | 0.00 |
time (sec) |
N/A | 0.954 | 6.314 | 0.485 | 0.000 | 0.250 | 0.000 | 1.649 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | F(-2) | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 126 | 146 | 0 | 161 | 0 | 547 | 0 |
N.S. |
1 | 1.00 | 0.91 | 1.06 | 0.00 | 1.17 | 0.00 | 3.96 | 0.00 |
time (sec) |
N/A | 0.221 | 3.633 | 0.366 | 0.000 | 0.252 | 0.000 | 0.331 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 125 | 151 | 272 | 0 | 0 | 502 | 0 | 0 | 0 |
N.S. |
1 | 1.21 | 2.18 | 0.00 | 0.00 | 4.02 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.334 | 2.366 | 0.000 | 0.000 | 1.171 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 205 | 0 | 0 | 504 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.53 | 0.00 | 0.00 | 6.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 1.074 | 0.000 | 0.000 | 3.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 44 | 0 | 0 | 60 | 15 | 0 | 0 |
N.S. |
1 | 1.00 | 1.42 | 0.00 | 0.00 | 1.94 | 0.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.134 | 0.000 | 0.000 | 0.368 | 0.986 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 57 | 22 | 0 | 29 | 15 | 0 | 0 |
N.S. |
1 | 1.00 | 1.73 | 0.67 | 0.00 | 0.88 | 0.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.196 | 0.158 | 0.358 | 0.000 | 0.385 | 0.444 | 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 | 19 | 19 | 19 | 16 | 15 | 28 | 56 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.79 | 1.47 | 2.95 | 0.79 | 0.79 |
time (sec) |
N/A | 0.370 | 0.009 | 0.411 | 0.189 | 0.240 | 0.820 | 0.308 | 0.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 51 | 43 | 120 | 0 | 32 | 2236 | 0 | 0 |
N.S. |
1 | 0.98 | 0.83 | 2.31 | 0.00 | 0.62 | 43.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.144 | 0.040 | 0.000 | 0.248 | 1.264 | 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 | 56 | 55 | 50 | 0 | 0 | 33 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.89 | 0.00 | 0.00 | 0.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.140 | 0.000 | 0.000 | 0.255 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 0 | 15 | 311 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 18.29 | 0.88 | 0.88 |
time (sec) |
N/A | 0.183 | 0.022 | 0.332 | 0.000 | 0.240 | 1.365 | 0.303 | 0.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 20 | 19 | 0 | 18 | 41 | 18 | 18 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.00 | 0.90 | 2.05 | 0.90 | 0.90 |
time (sec) |
N/A | 0.186 | 0.023 | 0.356 | 0.000 | 0.245 | 0.666 | 0.286 | 0.342 |
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 | 42 | 45 | 39 | 43 | 40 | 52 | 36 | 47 | 58 |
N.S. |
1 | 1.07 | 0.93 | 1.02 | 0.95 | 1.24 | 0.86 | 1.12 | 1.38 |
time (sec) |
N/A | 0.187 | 0.040 | 0.056 | 0.192 | 0.239 | 0.068 | 0.280 | 0.534 |
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 | 22 | 22 | 22 | 20 | 20 | 19 | 20 | 19 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.91 | 0.86 | 0.91 | 0.86 | 1.09 |
time (sec) |
N/A | 0.169 | 0.022 | 0.046 | 0.190 | 0.254 | 0.055 | 0.292 | 0.436 |
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 | 62 | 62 | 49 | 50 | 51 | 58 | 51 | 74 | 47 |
N.S. |
1 | 1.00 | 0.79 | 0.81 | 0.82 | 0.94 | 0.82 | 1.19 | 0.76 |
time (sec) |
N/A | 0.281 | 0.071 | 0.104 | 0.202 | 0.267 | 0.081 | 0.294 | 0.454 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 94 | 239 | 158 | 0 | 285 | 0 | 304 | 0 |
N.S. |
1 | 1.09 | 2.78 | 1.84 | 0.00 | 3.31 | 0.00 | 3.53 | 0.00 |
time (sec) |
N/A | 0.291 | 0.299 | 1.065 | 0.000 | 0.256 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 16 | 0 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.84 | 0.00 | 0.79 | 0.79 | 0.79 | 0.79 |
time (sec) |
N/A | 0.199 | 0.048 | 0.435 | 0.000 | 0.243 | 0.090 | 0.292 | 0.484 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 23 | 0 | 22 | 27 | 22 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.00 | 0.85 | 1.04 | 0.85 | 0.85 |
time (sec) |
N/A | 0.221 | 0.068 | 0.343 | 0.000 | 0.242 | 0.454 | 0.294 | 0.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 69 | 56 | 0 | 0 | 198 | 46 | 0 | 0 |
N.S. |
1 | 1.10 | 0.89 | 0.00 | 0.00 | 3.14 | 0.73 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.105 | 0.000 | 0.000 | 0.258 | 1.072 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 92 | 82 | 25 | 0 | 216 | 51 | 0 | 0 |
N.S. |
1 | 1.12 | 1.00 | 0.30 | 0.00 | 2.63 | 0.62 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.013 | 0.023 | 0.000 | 0.261 | 1.760 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 606 | 741 | 412 | 0 | 518 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.22 | 0.68 | 0.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 4.520 | 0.295 | 0.000 | 0.208 | 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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 16 | 0 | 15 | 311 | 15 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.00 | 0.88 | 18.29 | 0.88 | 0.88 |
time (sec) |
N/A | 0.184 | 0.043 | 0.367 | 0.000 | 0.245 | 1.246 | 0.305 | 0.355 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 51 | 46 | 120 | 0 | 32 | 2236 | 0 | 0 |
N.S. |
1 | 0.98 | 0.88 | 2.31 | 0.00 | 0.62 | 43.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.209 | 0.036 | 0.000 | 0.259 | 1.270 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 33 | 44 | 48 | 48 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 1.29 | 1.41 | 1.41 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.196 | 0.723 | 0.276 | 0.246 | 0.000 | 0.000 | 0.000 |
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 | 61 | 77 | 63 | 62 | 64 | 36 | 64 | 86 |
N.S. |
1 | 1.05 | 1.33 | 1.09 | 1.07 | 1.10 | 0.62 | 1.10 | 1.48 |
time (sec) |
N/A | 0.171 | 0.069 | 1.300 | 0.283 | 0.242 | 0.447 | 0.287 | 0.603 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 62 | 77 | 48 | 62 | 64 | 37 | 64 | 76 |
N.S. |
1 | 1.07 | 1.33 | 0.83 | 1.07 | 1.10 | 0.64 | 1.10 | 1.31 |
time (sec) |
N/A | 0.173 | 0.054 | 1.234 | 0.279 | 0.244 | 0.472 | 0.298 | 0.557 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | B | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 86 | 12 | 78 | 82 | 29 | 0 | 10 |
N.S. |
1 | 1.00 | 1.76 | 0.24 | 1.59 | 1.67 | 0.59 | 0.00 | 0.20 |
time (sec) |
N/A | 0.141 | 0.043 | 1.540 | 0.278 | 0.241 | 0.436 | 0.000 | 0.367 |
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 | 55 | 61 | 79 | 63 | 62 | 64 | 32 | 63 | 80 |
N.S. |
1 | 1.11 | 1.44 | 1.15 | 1.13 | 1.16 | 0.58 | 1.15 | 1.45 |
time (sec) |
N/A | 0.173 | 0.056 | 1.997 | 0.272 | 0.245 | 0.453 | 0.289 | 0.575 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 148 | 769 | 0 | 301 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.53 | 7.93 | 0.00 | 3.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.197 | 1.271 | 6.006 | 0.000 | 1.929 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 0 | 1878 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.00 | 12.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.305 | 0.000 | 13.997 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 120 | 162 | 1593 | 0 | 277 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.47 | 14.48 | 0.00 | 2.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.294 | 6.433 | 0.000 | 1.226 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 86 | 85 | 653 | 0 | 120 | 0 | 0 | 0 |
N.S. |
1 | 1.06 | 1.05 | 8.06 | 0.00 | 1.48 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.015 | 0.950 | 0.000 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | A | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 86 | 130 | 92 | 0 | 415 | 0 | 67 | 37 |
N.S. |
1 | 1.30 | 1.97 | 1.39 | 0.00 | 6.29 | 0.00 | 1.02 | 0.56 |
time (sec) |
N/A | 0.210 | 0.818 | 0.849 | 0.000 | 0.898 | 0.000 | 0.319 | 0.483 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 79 | 94 | 145 | 0 | 0 | 665 | 0 | 0 | 0 |
N.S. |
1 | 1.19 | 1.84 | 0.00 | 0.00 | 8.42 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.968 | 0.000 | 0.000 | 0.783 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 118 | 0 | 189 | 0 | 0 | 1496 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.60 | 0.00 | 0.00 | 12.68 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 2.966 | 0.000 | 0.000 | 13.441 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | F(-1) | F | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 0 | 128 | 111 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 1.15 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 15.299 | 1.215 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | F | F | B | F | F | F(-1) |
verified |
N/A | N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 176 | 0 | 0 | 0 | 0 | 932 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 5.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 0.000 | 0.000 | 54.282 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 493 | 570 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.16 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.778 | 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 | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 407 | 506 | 178 | 277 | 0 | 555 | 0 | 795 | 343 |
N.S. |
1 | 1.24 | 0.44 | 0.68 | 0.00 | 1.36 | 0.00 | 1.95 | 0.84 |
time (sec) |
N/A | 0.874 | 7.416 | 3.160 | 0.000 | 0.272 | 0.000 | 0.623 | 0.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | C | F(-1) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 648 | 0 | 610 | 352 | 0 | 1005 | 0 | 1000 | 567 |
N.S. |
1 | 0.00 | 0.94 | 0.54 | 0.00 | 1.55 | 0.00 | 1.54 | 0.88 |
time (sec) |
N/A | 0.000 | 16.413 | 3.783 | 0.000 | 0.284 | 0.000 | 0.765 | 0.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | C | F(-1) | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 1058 | 0 | 1100 | 502 | 0 | 1905 | 0 | 1410 | 1017 |
N.S. |
1 | 0.00 | 1.04 | 0.47 | 0.00 | 1.80 | 0.00 | 1.33 | 0.96 |
time (sec) |
N/A | 0.000 | 17.330 | 7.409 | 0.000 | 2.036 | 0.000 | 1.091 | 1.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | C | F | C | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 378 | 424 | 733 | 452 | 0 | 869 | 0 | 2509 | 0 |
N.S. |
1 | 1.12 | 1.94 | 1.20 | 0.00 | 2.30 | 0.00 | 6.64 | 0.00 |
time (sec) |
N/A | 1.341 | 3.996 | 3.310 | 0.000 | 0.285 | 0.000 | 35.108 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | C | A | F | C | F(-1) | F(-1) | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 638 | 0 | 1431 | 552 | 0 | 1569 | 0 | 0 | 0 |
N.S. |
1 | 0.00 | 2.24 | 0.87 | 0.00 | 2.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 21.655 | 6.780 | 0.000 | 0.322 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 66 | 429 | 99 | 787 | 0 | 546 | 0 | 0 | 0 |
N.S. |
1 | 6.50 | 1.50 | 11.92 | 0.00 | 8.27 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 1.220 | 2.110 | 1.605 | 0.000 | 0.297 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 198 | 203 | 145 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.291 | 10.240 | 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 | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 153 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 10.270 | 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 | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 168 | 2395 | 0 | 171 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.73 | 24.69 | 0.00 | 1.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.312 | 9.443 | 0.000 | 1.244 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 76 | 99 | 15 | 105 | 96 | 32 | 0 | 0 |
N.S. |
1 | 1.04 | 1.36 | 0.21 | 1.44 | 1.32 | 0.44 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 0.240 | 1.189 | 0.276 | 0.257 | 0.568 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | C | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 67 | 75 | 88 | 49 | 71 | 73 | 37 | 72 | 83 |
N.S. |
1 | 1.12 | 1.31 | 0.73 | 1.06 | 1.09 | 0.55 | 1.07 | 1.24 |
time (sec) |
N/A | 0.196 | 0.074 | 1.553 | 0.277 | 0.245 | 0.561 | 0.295 | 0.407 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 482 | 482 | 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 | 0.665 | 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 | F | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 280 | 408 | 0 | 1410 | 0 | 3880 | 0 | 0 | 0 |
N.S. |
1 | 1.46 | 0.00 | 5.04 | 0.00 | 13.86 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.546 | 0.000 | 21.318 | 0.000 | 5.355 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 232 | 232 | 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 | 0.397 | 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 | F | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 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 | 0.343 | 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 | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 22 | 23 | 23 | 22 | 23 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.88 | 0.92 | 0.92 | 0.88 | 0.92 | 0.92 |
time (sec) |
N/A | 0.172 | 0.009 | 0.022 | 0.196 | 0.264 | 0.038 | 0.304 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 86 | 52 | 0 | 43 | 73 | 40 | 53 |
N.S. |
1 | 1.00 | 1.46 | 0.88 | 0.00 | 0.73 | 1.24 | 0.68 | 0.90 |
time (sec) |
N/A | 0.184 | 0.025 | 0.046 | 0.000 | 0.249 | 0.067 | 0.311 | 0.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 85 | 99 | 70 | 0 | 66 | 100 | 64 | 76 |
N.S. |
1 | 1.09 | 1.27 | 0.90 | 0.00 | 0.85 | 1.28 | 0.82 | 0.97 |
time (sec) |
N/A | 0.257 | 0.027 | 0.036 | 0.000 | 0.247 | 0.078 | 0.302 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 57 | 55 | 0 | 56 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.16 | 1.12 | 0.00 | 1.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.149 | 0.289 | 0.904 | 0.000 | 0.280 | 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 | 53 | 53 | 44 | 62 | 0 | 61 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 1.17 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.159 | 0.291 | 0.862 | 0.000 | 0.285 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 101 | 79 | 89 | 0 | 359 | 0 | 0 | 0 |
N.S. |
1 | 1.35 | 1.05 | 1.19 | 0.00 | 4.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 0.399 | 1.347 | 0.000 | 0.313 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 92 | 149 | 0 | 229 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.54 | 0.87 | 0.00 | 1.34 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.263 | 0.380 | 0.925 | 0.000 | 0.328 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 80 | 88 | 157 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 1.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 10.301 | 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 | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 88 | 96 | 162 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.09 | 1.84 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 10.183 | 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 | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 149 | 151 | 144 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 10.184 | 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 | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 135 | 137 | 152 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 1.13 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 10.138 | 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 | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 28 | 164 | 0 | 1116 | 0 | 0 | 653 |
N.S. |
1 | 1.00 | 0.22 | 1.29 | 0.00 | 8.79 | 0.00 | 0.00 | 5.14 |
time (sec) |
N/A | 0.187 | 10.018 | 5.903 | 0.000 | 0.338 | 0.000 | 0.000 | 0.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 157 | 157 | 54 | 240 | 0 | 1669 | 0 | 0 | 331 |
N.S. |
1 | 1.00 | 0.34 | 1.53 | 0.00 | 10.63 | 0.00 | 0.00 | 2.11 |
time (sec) |
N/A | 0.206 | 10.025 | 0.665 | 0.000 | 0.391 | 0.000 | 0.000 | 15.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 48 | 421 | 0 | 723 | 0 | 0 | 533 |
N.S. |
1 | 1.00 | 0.65 | 5.69 | 0.00 | 9.77 | 0.00 | 0.00 | 7.20 |
time (sec) |
N/A | 0.429 | 10.017 | 3.015 | 0.000 | 0.348 | 0.000 | 0.000 | 0.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 32 | 383 | 0 | 497 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.31 | 3.72 | 0.00 | 4.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.650 | 10.022 | 1.086 | 0.000 | 0.423 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 126 | 538 | 0 | 1210 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 6.64 | 0.00 | 14.94 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 4.134 | 7.796 | 0.000 | 1.301 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 126 | 443 | 0 | 345 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.56 | 5.47 | 0.00 | 4.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 4.070 | 1.669 | 0.000 | 1.009 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 118 | 938 | 0 | 1232 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.04 | 8.30 | 0.00 | 10.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 4.047 | 9.519 | 0.000 | 0.681 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 124 | 0 | 0 | 1103 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.14 | 0.00 | 0.00 | 10.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 4.032 | 0.000 | 0.000 | 0.739 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 29 | 33 | 0 | 85 | 0 | 0 | 217 |
N.S. |
1 | 1.00 | 0.33 | 0.38 | 0.00 | 0.98 | 0.00 | 0.00 | 2.49 |
time (sec) |
N/A | 0.499 | 10.362 | 0.759 | 0.000 | 0.253 | 0.000 | 0.000 | 0.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | C | F | F | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 546 | 46 | 317 | 0 | 70 | 0 | 0 | 207 |
N.S. |
1 | 7.69 | 0.65 | 4.46 | 0.00 | 0.99 | 0.00 | 0.00 | 2.92 |
time (sec) |
N/A | 1.173 | 10.372 | 0.506 | 0.000 | 0.264 | 0.000 | 0.000 | 0.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | C | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 233 | 52 | 367 | 0 | 63 | 0 | 0 | 0 |
N.S. |
1 | 5.07 | 1.13 | 7.98 | 0.00 | 1.37 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.818 | 10.879 | 0.655 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 34 | 111 | 0 | 0 | 0 | 0 | 67 |
N.S. |
1 | 1.00 | 1.06 | 3.47 | 0.00 | 0.00 | 0.00 | 0.00 | 2.09 |
time (sec) |
N/A | 0.228 | 1.217 | 2.957 | 0.000 | 0.000 | 0.000 | 0.000 | 1.770 |
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 | 23 | 23 | 31 | 42 | 0 | 44 | 0 | 0 | 204 |
N.S. |
1 | 1.00 | 1.35 | 1.83 | 0.00 | 1.91 | 0.00 | 0.00 | 8.87 |
time (sec) |
N/A | 0.186 | 0.879 | 0.817 | 0.000 | 0.268 | 0.000 | 0.000 | 0.567 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 47 | 355 | 0 | 1569 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.22 | 1.63 | 0.00 | 7.20 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 10.046 | 48.349 | 0.000 | 0.426 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 50 | 352 | 0 | 1702 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.24 | 1.68 | 0.00 | 8.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 10.051 | 48.707 | 0.000 | 0.393 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 222 | 222 | 65 | 351 | 0 | 1718 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.29 | 1.58 | 0.00 | 7.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 10.053 | 41.432 | 0.000 | 0.396 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 68 | 352 | 0 | 1538 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.32 | 1.64 | 0.00 | 7.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 10.045 | 41.404 | 0.000 | 0.391 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 73 | 77 | 327 | 0 | 323 | 0 | 0 | 0 |
N.S. |
1 | 1.12 | 1.18 | 5.03 | 0.00 | 4.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.265 | 8.275 | 2.295 | 0.000 | 0.360 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 70 | 77 | 311 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.11 | 1.22 | 4.94 | 0.00 | 1.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.269 | 8.204 | 2.308 | 0.000 | 0.380 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | F(-2) | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 92 | 816 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.74 | 15.40 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 0.757 | 2.089 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 111 | 0 | 1421 | 0 | 267 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.00 | 13.16 | 0.00 | 2.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.275 | 0.000 | 4.127 | 0.000 | 1.044 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 189 | 111 | 0 | 1252 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.93 | 1.13 | 0.00 | 12.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 0.882 | 1.293 | 0.000 | 108.172 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | F | F | F(-1) | F | F | F(-1) |
verified |
N/A | Yes | N/A | N/A | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 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 | 0.385 | 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 | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 100 | 182 | 92 | 110 | 387 | 0 | 113 | 157 |
N.S. |
1 | 1.04 | 1.90 | 0.96 | 1.15 | 4.03 | 0.00 | 1.18 | 1.64 |
time (sec) |
N/A | 0.207 | 0.370 | 0.911 | 0.286 | 0.263 | 0.000 | 3.121 | 0.611 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 88 | 114 | 95 | 0 | 253 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.30 | 1.08 | 0.00 | 2.88 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.160 | 0.258 | 3.221 | 0.000 | 1.607 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 249 | 283 | 0 | 0 | 373 | 0 | 0 | 0 |
N.S. |
1 | 1.07 | 1.21 | 0.00 | 0.00 | 1.60 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 0.775 | 0.000 | 0.000 | 1.485 | 0.000 | 0.000 | 0.000 |
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 | 82 | 86 | 104 | 80 | 86 | 90 | 0 | 87 | 100 |
N.S. |
1 | 1.05 | 1.27 | 0.98 | 1.05 | 1.10 | 0.00 | 1.06 | 1.22 |
time (sec) |
N/A | 0.185 | 0.097 | 3.605 | 0.287 | 0.245 | 0.000 | 0.315 | 0.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 135 | 383 | 145 | 677 | 0 | 318 | 0 | 0 | 0 |
N.S. |
1 | 2.84 | 1.07 | 5.01 | 0.00 | 2.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.540 | 1.163 | 6.457 | 0.000 | 5.537 | 0.000 | 0.000 | 0.000 |