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 | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 101 | 111 | 1983 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 19.63 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.293 | 17.082 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 113 | 1987 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 19.29 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.327 | 17.433 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 103 | 113 | 1997 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.10 | 19.39 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.338 | 17.602 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 212 | 149 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.69 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.375 | 2.162 | 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(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 129 | 127 | 126 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.281 | 2.142 | 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 | 72 | 72 | 71 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 1.035 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 2137 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 25.75 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.234 | 6.248 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 1914 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 23.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.256 | 16.549 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 1912 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 23.04 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.257 | 16.255 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | F | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 1914 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 23.06 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.255 | 16.860 | 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 | B | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 63 | 55 | 55 | 95 | 69 | 116 | 280 | 52 |
N.S. |
1 | 0.88 | 0.76 | 0.76 | 1.32 | 0.96 | 1.61 | 3.89 | 0.72 |
time (sec) |
N/A | 0.252 | 0.185 | 1.626 | 0.192 | 0.268 | 0.547 | 1.588 | 19.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 46 | 43 | 45 | 64 | 50 | 80 | 236 | 46 |
N.S. |
1 | 0.94 | 0.88 | 0.92 | 1.31 | 1.02 | 1.63 | 4.82 | 0.94 |
time (sec) |
N/A | 0.244 | 0.084 | 0.736 | 0.190 | 0.259 | 0.263 | 0.658 | 19.536 |
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 | 30 | 28 | 30 | 26 | 33 | 37 | 42 | 190 | 32 |
N.S. |
1 | 0.93 | 1.00 | 0.87 | 1.10 | 1.23 | 1.40 | 6.33 | 1.07 |
time (sec) |
N/A | 0.211 | 0.020 | 0.332 | 0.199 | 0.244 | 0.128 | 0.328 | 18.982 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 37 | 50 | 24 | 33 | 35 | 0 | 98 | 32 |
N.S. |
1 | 1.32 | 1.79 | 0.86 | 1.18 | 1.25 | 0.00 | 3.50 | 1.14 |
time (sec) |
N/A | 0.240 | 0.029 | 0.327 | 0.194 | 0.258 | 0.000 | 0.276 | 19.680 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 41 | 52 | 39 | 29 | 50 | 0 | 146 | 51 |
N.S. |
1 | 1.28 | 1.62 | 1.22 | 0.91 | 1.56 | 0.00 | 4.56 | 1.59 |
time (sec) |
N/A | 0.242 | 0.181 | 0.578 | 0.188 | 0.258 | 0.000 | 0.310 | 19.274 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 66 | 73 | 55 | 49 | 83 | 0 | 238 | 61 |
N.S. |
1 | 1.29 | 1.43 | 1.08 | 0.96 | 1.63 | 0.00 | 4.67 | 1.20 |
time (sec) |
N/A | 0.268 | 0.029 | 1.253 | 0.183 | 0.259 | 0.000 | 0.354 | 19.878 |
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 | 64 | 60 | 73 | 57 | 56 | 89 | 66 | 56 | 51 |
N.S. |
1 | 0.94 | 1.14 | 0.89 | 0.88 | 1.39 | 1.03 | 0.88 | 0.80 |
time (sec) |
N/A | 0.276 | 0.024 | 2.202 | 0.268 | 0.257 | 1.254 | 2.182 | 18.993 |
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 | 48 | 48 | 57 | 47 | 45 | 72 | 54 | 45 | 40 |
N.S. |
1 | 1.00 | 1.19 | 0.98 | 0.94 | 1.50 | 1.12 | 0.94 | 0.83 |
time (sec) |
N/A | 0.268 | 0.017 | 1.098 | 0.267 | 0.254 | 0.831 | 0.943 | 19.463 |
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 | 32 | 36 | 41 | 37 | 33 | 53 | 42 | 33 | 29 |
N.S. |
1 | 1.12 | 1.28 | 1.16 | 1.03 | 1.66 | 1.31 | 1.03 | 0.91 |
time (sec) |
N/A | 0.250 | 0.013 | 0.562 | 0.269 | 0.254 | 0.584 | 0.502 | 19.434 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 16 | 15 | 31 | 0 | 15 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.07 | 1.00 | 2.07 | 0.00 | 1.00 | 1.13 |
time (sec) |
N/A | 0.151 | 0.002 | 0.271 | 0.184 | 0.251 | 0.000 | 0.275 | 19.591 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 26 | 43 | 33 | 25 | 34 | 0 | 53 | 19 |
N.S. |
1 | 1.37 | 2.26 | 1.74 | 1.32 | 1.79 | 0.00 | 2.79 | 1.00 |
time (sec) |
N/A | 0.242 | 0.082 | 0.566 | 0.273 | 0.246 | 0.000 | 0.297 | 19.279 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 41 | 51 | 48 | 41 | 76 | 0 | 111 | 35 |
N.S. |
1 | 1.24 | 1.55 | 1.45 | 1.24 | 2.30 | 0.00 | 3.36 | 1.06 |
time (sec) |
N/A | 0.259 | 0.017 | 0.886 | 0.269 | 0.252 | 0.000 | 0.310 | 19.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 49 | 51 | 63 | 52 | 110 | 0 | 170 | 46 |
N.S. |
1 | 0.96 | 1.00 | 1.24 | 1.02 | 2.16 | 0.00 | 3.33 | 0.90 |
time (sec) |
N/A | 0.262 | 0.029 | 1.891 | 0.274 | 0.244 | 0.000 | 0.337 | 19.797 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 100 | 91 | 126 | 86 | 147 | 99 | 190 | 431 | 124 |
N.S. |
1 | 0.91 | 1.26 | 0.86 | 1.47 | 0.99 | 1.90 | 4.31 | 1.24 |
time (sec) |
N/A | 0.299 | 0.531 | 9.059 | 0.195 | 0.274 | 1.130 | 1.894 | 19.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 71 | 107 | 76 | 114 | 79 | 128 | 385 | 92 |
N.S. |
1 | 0.92 | 1.39 | 0.99 | 1.48 | 1.03 | 1.66 | 5.00 | 1.19 |
time (sec) |
N/A | 0.271 | 0.291 | 4.573 | 0.191 | 0.267 | 0.564 | 0.876 | 20.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 46 | 83 | 41 | 67 | 53 | 61 | 334 | 61 |
N.S. |
1 | 0.96 | 1.73 | 0.85 | 1.40 | 1.10 | 1.27 | 6.96 | 1.27 |
time (sec) |
N/A | 0.242 | 0.120 | 2.223 | 0.190 | 0.261 | 0.277 | 0.420 | 19.686 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 55 | 84 | 50 | 64 | 79 | 0 | 247 | 58 |
N.S. |
1 | 1.04 | 1.58 | 0.94 | 1.21 | 1.49 | 0.00 | 4.66 | 1.09 |
time (sec) |
N/A | 0.268 | 0.246 | 1.850 | 0.191 | 0.260 | 0.000 | 0.318 | 20.391 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 64 | 81 | 64 | 60 | 100 | 0 | 233 | 68 |
N.S. |
1 | 1.12 | 1.42 | 1.12 | 1.05 | 1.75 | 0.00 | 4.09 | 1.19 |
time (sec) |
N/A | 0.277 | 0.195 | 2.618 | 0.188 | 0.260 | 0.000 | 0.329 | 20.281 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 69 | 77 | 71 | 61 | 97 | 0 | 332 | 83 |
N.S. |
1 | 1.35 | 1.51 | 1.39 | 1.20 | 1.90 | 0.00 | 6.51 | 1.63 |
time (sec) |
N/A | 0.277 | 0.297 | 5.402 | 0.182 | 0.269 | 0.000 | 0.363 | 20.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 90 | 275 | 88 | 84 | 137 | 0 | 91 | 126 |
N.S. |
1 | 0.95 | 2.89 | 0.93 | 0.88 | 1.44 | 0.00 | 0.96 | 1.33 |
time (sec) |
N/A | 0.324 | 3.708 | 12.310 | 0.269 | 0.269 | 0.000 | 2.517 | 19.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 75 | 395 | 78 | 71 | 113 | 0 | 78 | 97 |
N.S. |
1 | 0.97 | 5.13 | 1.01 | 0.92 | 1.47 | 0.00 | 1.01 | 1.26 |
time (sec) |
N/A | 0.309 | 2.302 | 6.529 | 0.264 | 0.264 | 0.000 | 1.197 | 19.432 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 60 | 281 | 68 | 58 | 86 | 0 | 65 | 69 |
N.S. |
1 | 1.02 | 4.76 | 1.15 | 0.98 | 1.46 | 0.00 | 1.10 | 1.17 |
time (sec) |
N/A | 0.299 | 1.710 | 3.204 | 0.264 | 0.262 | 0.000 | 0.651 | 19.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 44 | 41 | 46 | 44 | 58 | 0 | 49 | 42 |
N.S. |
1 | 1.10 | 1.02 | 1.15 | 1.10 | 1.45 | 0.00 | 1.22 | 1.05 |
time (sec) |
N/A | 0.218 | 0.136 | 0.545 | 0.182 | 0.254 | 0.000 | 0.287 | 19.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 40 | 82 | 66 | 46 | 67 | 0 | 46 | 44 |
N.S. |
1 | 1.11 | 2.28 | 1.83 | 1.28 | 1.86 | 0.00 | 1.28 | 1.22 |
time (sec) |
N/A | 0.292 | 3.125 | 1.889 | 0.266 | 0.251 | 0.000 | 0.323 | 19.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 49 | 160 | 73 | 59 | 98 | 0 | 176 | 53 |
N.S. |
1 | 1.09 | 3.56 | 1.62 | 1.31 | 2.18 | 0.00 | 3.91 | 1.18 |
time (sec) |
N/A | 0.301 | 1.572 | 3.911 | 0.271 | 0.249 | 0.000 | 0.323 | 19.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 66 | 256 | 107 | 72 | 136 | 0 | 273 | 68 |
N.S. |
1 | 1.02 | 3.94 | 1.65 | 1.11 | 2.09 | 0.00 | 4.20 | 1.05 |
time (sec) |
N/A | 0.308 | 3.887 | 7.660 | 0.280 | 0.271 | 0.000 | 0.354 | 19.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | No | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 63 | 99 | 67 | 81 | 84 | 0 | 373 | 103 |
N.S. |
1 | 0.91 | 1.43 | 0.97 | 1.17 | 1.22 | 0.00 | 5.41 | 1.49 |
time (sec) |
N/A | 0.291 | 0.332 | 1.595 | 0.188 | 0.298 | 0.000 | 1.518 | 19.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 41 | 42 | 50 | 41 | 0 | 222 | 64 |
N.S. |
1 | 1.00 | 0.91 | 0.93 | 1.11 | 0.91 | 0.00 | 4.93 | 1.42 |
time (sec) |
N/A | 0.272 | 0.118 | 0.798 | 0.190 | 0.291 | 0.000 | 0.605 | 20.163 |
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 | 23 | 23 | 26 | 35 | 26 | 21 | 117 | 129 | 63 |
N.S. |
1 | 1.00 | 1.13 | 1.52 | 1.13 | 0.91 | 5.09 | 5.61 | 2.74 |
time (sec) |
N/A | 0.208 | 0.213 | 0.351 | 0.179 | 0.250 | 5.559 | 0.329 | 19.831 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 52 | 43 | 68 | 50 | 42 | 0 | 166 | 65 |
N.S. |
1 | 1.13 | 0.93 | 1.48 | 1.09 | 0.91 | 0.00 | 3.61 | 1.41 |
time (sec) |
N/A | 0.272 | 0.118 | 0.648 | 0.186 | 0.299 | 0.000 | 0.296 | 20.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 77 | 100 | 119 | 87 | 126 | 0 | 294 | 98 |
N.S. |
1 | 1.04 | 1.35 | 1.61 | 1.18 | 1.70 | 0.00 | 3.97 | 1.32 |
time (sec) |
N/A | 0.300 | 0.239 | 1.273 | 0.184 | 0.343 | 0.000 | 0.342 | 20.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 108 | 118 | 138 | 180 | 145 | 265 | 0 | 513 | 160 |
N.S. |
1 | 1.09 | 1.28 | 1.67 | 1.34 | 2.45 | 0.00 | 4.75 | 1.48 |
time (sec) |
N/A | 0.344 | 0.717 | 2.611 | 0.195 | 0.458 | 0.000 | 0.397 | 20.663 |
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 | 83 | 98 | 229 | 101 | 95 | 373 | 0 | 126 | 1109 |
N.S. |
1 | 1.18 | 2.76 | 1.22 | 1.14 | 4.49 | 0.00 | 1.52 | 13.36 |
time (sec) |
N/A | 0.389 | 3.953 | 2.321 | 0.273 | 0.306 | 0.000 | 2.090 | 19.875 |
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 | 59 | 70 | 206 | 72 | 66 | 297 | 0 | 87 | 410 |
N.S. |
1 | 1.19 | 3.49 | 1.22 | 1.12 | 5.03 | 0.00 | 1.47 | 6.95 |
time (sec) |
N/A | 0.317 | 2.119 | 1.138 | 0.266 | 0.283 | 0.000 | 0.868 | 19.158 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 53 | 184 | 48 | 45 | 226 | 0 | 66 | 126 |
N.S. |
1 | 1.15 | 4.00 | 1.04 | 0.98 | 4.91 | 0.00 | 1.43 | 2.74 |
time (sec) |
N/A | 0.288 | 0.755 | 0.632 | 0.266 | 0.279 | 0.000 | 0.452 | 19.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 182 | 46 | 44 | 231 | 0 | 65 | 460 |
N.S. |
1 | 1.00 | 4.04 | 1.02 | 0.98 | 5.13 | 0.00 | 1.44 | 10.22 |
time (sec) |
N/A | 0.263 | 0.262 | 0.204 | 0.269 | 0.284 | 0.000 | 0.274 | 19.369 |
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 | 62 | 77 | 204 | 68 | 66 | 310 | 0 | 87 | 637 |
N.S. |
1 | 1.24 | 3.29 | 1.10 | 1.06 | 5.00 | 0.00 | 1.40 | 10.27 |
time (sec) |
N/A | 0.325 | 2.248 | 0.947 | 0.266 | 0.283 | 0.000 | 0.312 | 21.799 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 86 | 109 | 390 | 90 | 106 | 533 | 0 | 134 | 2644 |
N.S. |
1 | 1.27 | 4.53 | 1.05 | 1.23 | 6.20 | 0.00 | 1.56 | 30.74 |
time (sec) |
N/A | 0.385 | 4.688 | 1.806 | 0.268 | 0.308 | 0.000 | 0.352 | 24.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 120 | 147 | 671 | 118 | 161 | 833 | 0 | 212 | 4324 |
N.S. |
1 | 1.22 | 5.59 | 0.98 | 1.34 | 6.94 | 0.00 | 1.77 | 36.03 |
time (sec) |
N/A | 0.456 | 4.363 | 3.663 | 0.271 | 0.318 | 0.000 | 0.386 | 25.759 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 70 | 109 | 72 | 98 | 118 | 0 | 532 | 170 |
N.S. |
1 | 0.91 | 1.42 | 0.94 | 1.27 | 1.53 | 0.00 | 6.91 | 2.21 |
time (sec) |
N/A | 0.294 | 0.751 | 6.079 | 0.182 | 0.318 | 0.000 | 1.646 | 20.344 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 48 | 81 | 50 | 59 | 53 | 0 | 314 | 97 |
N.S. |
1 | 0.94 | 1.59 | 0.98 | 1.16 | 1.04 | 0.00 | 6.16 | 1.90 |
time (sec) |
N/A | 0.271 | 2.341 | 3.282 | 0.195 | 0.256 | 0.000 | 0.720 | 20.325 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 44 | 79 | 59 | 57 | 52 | 0 | 384 | 90 |
N.S. |
1 | 0.90 | 1.61 | 1.20 | 1.16 | 1.06 | 0.00 | 7.84 | 1.84 |
time (sec) |
N/A | 0.245 | 0.637 | 2.325 | 0.185 | 0.264 | 0.000 | 0.428 | 19.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 84 | 112 | 91 | 117 | 138 | 0 | 396 | 106 |
N.S. |
1 | 1.01 | 1.35 | 1.10 | 1.41 | 1.66 | 0.00 | 4.77 | 1.28 |
time (sec) |
N/A | 0.302 | 0.569 | 3.656 | 0.188 | 0.377 | 0.000 | 0.341 | 19.758 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 108 | 130 | 141 | 192 | 312 | 0 | 811 | 160 |
N.S. |
1 | 0.97 | 1.17 | 1.27 | 1.73 | 2.81 | 0.00 | 7.31 | 1.44 |
time (sec) |
N/A | 0.324 | 1.784 | 7.277 | 0.204 | 0.498 | 0.000 | 0.421 | 20.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 148 | 162 | 201 | 279 | 557 | 0 | 913 | 206 |
N.S. |
1 | 1.06 | 1.16 | 1.44 | 1.99 | 3.98 | 0.00 | 6.52 | 1.47 |
time (sec) |
N/A | 0.377 | 2.956 | 13.267 | 0.196 | 0.797 | 0.000 | 0.505 | 21.174 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 131 | 286 | 125 | 127 | 514 | 0 | 155 | 765 |
N.S. |
1 | 1.10 | 2.40 | 1.05 | 1.07 | 4.32 | 0.00 | 1.30 | 6.43 |
time (sec) |
N/A | 0.401 | 6.801 | 8.526 | 0.275 | 0.296 | 0.000 | 2.238 | 20.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 104 | 249 | 85 | 96 | 393 | 0 | 120 | 285 |
N.S. |
1 | 1.16 | 2.77 | 0.94 | 1.07 | 4.37 | 0.00 | 1.33 | 3.17 |
time (sec) |
N/A | 0.334 | 3.735 | 4.548 | 0.291 | 0.294 | 0.000 | 1.017 | 19.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 85 | 95 | 346 | 77 | 75 | 458 | 0 | 94 | 711 |
N.S. |
1 | 1.12 | 4.07 | 0.91 | 0.88 | 5.39 | 0.00 | 1.11 | 8.36 |
time (sec) |
N/A | 0.313 | 8.548 | 2.397 | 0.275 | 0.304 | 0.000 | 0.554 | 20.669 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 111 | 240 | 90 | 106 | 435 | 0 | 114 | 2056 |
N.S. |
1 | 1.21 | 2.61 | 0.98 | 1.15 | 4.73 | 0.00 | 1.24 | 22.35 |
time (sec) |
N/A | 0.261 | 2.200 | 0.421 | 0.277 | 0.295 | 0.000 | 0.288 | 21.731 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 121 | 141 | 288 | 102 | 163 | 604 | 0 | 175 | 3146 |
N.S. |
1 | 1.17 | 2.38 | 0.84 | 1.35 | 4.99 | 0.00 | 1.45 | 26.00 |
time (sec) |
N/A | 0.395 | 5.343 | 5.162 | 0.277 | 0.305 | 0.000 | 0.374 | 24.793 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 183 | 1896 | 124 | 235 | 979 | 0 | 212 | 4987 |
N.S. |
1 | 1.14 | 11.85 | 0.78 | 1.47 | 6.12 | 0.00 | 1.32 | 31.17 |
time (sec) |
N/A | 0.472 | 8.329 | 9.732 | 0.315 | 0.320 | 0.000 | 0.449 | 25.728 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 207 | 231 | 3028 | 152 | 319 | 1505 | 0 | 298 | 6017 |
N.S. |
1 | 1.12 | 14.63 | 0.73 | 1.54 | 7.27 | 0.00 | 1.44 | 29.07 |
time (sec) |
N/A | 0.551 | 9.491 | 18.385 | 0.286 | 0.360 | 0.000 | 0.516 | 26.616 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 73 | 136 | 80 | 112 | 116 | 0 | 531 | 166 |
N.S. |
1 | 0.94 | 1.74 | 1.03 | 1.44 | 1.49 | 0.00 | 6.81 | 2.13 |
time (sec) |
N/A | 0.287 | 3.263 | 20.494 | 0.196 | 0.272 | 0.000 | 1.932 | 19.934 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 75 | 131 | 73 | 113 | 111 | 0 | 656 | 153 |
N.S. |
1 | 0.93 | 1.62 | 0.90 | 1.40 | 1.37 | 0.00 | 8.10 | 1.89 |
time (sec) |
N/A | 0.292 | 1.118 | 11.325 | 0.226 | 0.273 | 0.000 | 0.961 | 19.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 69 | 129 | 81 | 102 | 102 | 0 | 782 | 142 |
N.S. |
1 | 0.93 | 1.74 | 1.09 | 1.38 | 1.38 | 0.00 | 10.57 | 1.92 |
time (sec) |
N/A | 0.261 | 1.910 | 11.280 | 0.207 | 0.274 | 0.000 | 0.577 | 19.330 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 130 | 128 | 158 | 144 | 243 | 307 | 0 | 767 | 190 |
N.S. |
1 | 0.98 | 1.22 | 1.11 | 1.87 | 2.36 | 0.00 | 5.90 | 1.46 |
time (sec) |
N/A | 0.348 | 1.422 | 17.523 | 0.201 | 0.611 | 0.000 | 0.422 | 20.768 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 154 | 151 | 176 | 193 | 344 | 584 | 0 | 1069 | 272 |
N.S. |
1 | 0.98 | 1.14 | 1.25 | 2.23 | 3.79 | 0.00 | 6.94 | 1.77 |
time (sec) |
N/A | 0.380 | 1.981 | 30.707 | 0.214 | 0.929 | 0.000 | 0.558 | 21.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 192 | 194 | 208 | 254 | 454 | 859 | 0 | 1912 | 327 |
N.S. |
1 | 1.01 | 1.08 | 1.32 | 2.36 | 4.47 | 0.00 | 9.96 | 1.70 |
time (sec) |
N/A | 0.434 | 5.525 | 53.496 | 0.225 | 1.684 | 0.000 | 0.528 | 22.487 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 170 | 760 | 134 | 193 | 664 | 0 | 200 | 615 |
N.S. |
1 | 1.16 | 5.17 | 0.91 | 1.31 | 4.52 | 0.00 | 1.36 | 4.18 |
time (sec) |
N/A | 0.437 | 7.611 | 27.172 | 0.286 | 0.304 | 0.000 | 2.543 | 20.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 153 | 1473 | 124 | 163 | 763 | 0 | 159 | 1117 |
N.S. |
1 | 1.12 | 10.75 | 0.91 | 1.19 | 5.57 | 0.00 | 1.16 | 8.15 |
time (sec) |
N/A | 0.384 | 16.892 | 15.427 | 0.278 | 0.308 | 0.000 | 1.247 | 21.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 138 | 161 | 1473 | 125 | 191 | 860 | 0 | 172 | 2405 |
N.S. |
1 | 1.17 | 10.67 | 0.91 | 1.38 | 6.23 | 0.00 | 1.25 | 17.43 |
time (sec) |
N/A | 0.381 | 13.269 | 11.630 | 0.275 | 0.331 | 0.000 | 0.743 | 22.823 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 144 | 175 | 332 | 147 | 231 | 819 | 0 | 196 | 3271 |
N.S. |
1 | 1.22 | 2.31 | 1.02 | 1.60 | 5.69 | 0.00 | 1.36 | 22.72 |
time (sec) |
N/A | 0.333 | 6.516 | 1.483 | 0.278 | 0.321 | 0.000 | 0.298 | 23.807 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 181 | 211 | 2089 | 149 | 311 | 1060 | 0 | 247 | 4890 |
N.S. |
1 | 1.17 | 11.54 | 0.82 | 1.72 | 5.86 | 0.00 | 1.36 | 27.02 |
time (sec) |
N/A | 0.494 | 9.532 | 23.488 | 0.283 | 0.345 | 0.000 | 0.488 | 25.316 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 230 | 263 | 3340 | 171 | 409 | 1649 | 0 | 302 | 7057 |
N.S. |
1 | 1.14 | 14.52 | 0.74 | 1.78 | 7.17 | 0.00 | 1.31 | 30.68 |
time (sec) |
N/A | 0.564 | 9.842 | 41.582 | 0.287 | 0.370 | 0.000 | 0.475 | 25.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 285 | 319 | 976 | 199 | 520 | 2229 | 0 | 388 | 7460 |
N.S. |
1 | 1.12 | 3.42 | 0.70 | 1.82 | 7.82 | 0.00 | 1.36 | 26.18 |
time (sec) |
N/A | 0.650 | 12.570 | 69.090 | 0.295 | 0.420 | 0.000 | 0.471 | 27.969 |
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 | 111 | 107 | 139 | 568 | 0 | 456 | 0 | 1280 | 0 |
N.S. |
1 | 0.96 | 1.25 | 5.12 | 0.00 | 4.11 | 0.00 | 11.53 | 0.00 |
time (sec) |
N/A | 0.317 | 2.828 | 12.017 | 0.000 | 1.972 | 0.000 | 1.820 | 0.000 |
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 | 80 | 79 | 74 | 338 | 0 | 386 | 0 | 800 | 0 |
N.S. |
1 | 0.99 | 0.92 | 4.22 | 0.00 | 4.82 | 0.00 | 10.00 | 0.00 |
time (sec) |
N/A | 0.278 | 0.918 | 7.435 | 0.000 | 0.593 | 0.000 | 0.760 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 56 | 119 | 58 | 0 | 312 | 0 | 377 | 46 |
N.S. |
1 | 1.04 | 2.20 | 1.07 | 0.00 | 5.78 | 0.00 | 6.98 | 0.85 |
time (sec) |
N/A | 0.235 | 0.561 | 0.155 | 0.000 | 0.371 | 0.000 | 0.463 | 20.345 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | B | F | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 72 | 70 | 540 | 3317 | 963 | 0 | 402 | 0 |
N.S. |
1 | 1.03 | 1.00 | 7.71 | 47.39 | 13.76 | 0.00 | 5.74 | 0.00 |
time (sec) |
N/A | 0.290 | 0.328 | 1.350 | 0.603 | 0.418 | 0.000 | 0.692 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 109 | 113 | 527 | 2756 | 0 | 1342 | 0 | 574 | 0 |
N.S. |
1 | 1.04 | 4.83 | 25.28 | 0.00 | 12.31 | 0.00 | 5.27 | 0.00 |
time (sec) |
N/A | 0.311 | 6.913 | 1.388 | 0.000 | 0.557 | 0.000 | 0.905 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | F | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | N/A | No | TBD | TBD | TBD | TBD | TBD |
size | 161 | 182 | 0 | 4323 | 0 | 1953 | 0 | 866 | 0 |
N.S. |
1 | 1.13 | 0.00 | 26.85 | 0.00 | 12.13 | 0.00 | 5.38 | 0.00 |
time (sec) |
N/A | 0.369 | 0.000 | 1.359 | 0.000 | 1.388 | 0.000 | 1.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 219 | 229 | 263 | 1581 | 0 | 1775 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.20 | 7.22 | 0.00 | 8.11 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.528 | 4.130 | 21.774 | 0.000 | 4.224 | 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 | 165 | 169 | 208 | 1065 | 0 | 1621 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 1.26 | 6.45 | 0.00 | 9.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.429 | 3.055 | 16.737 | 0.000 | 1.312 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 115 | 526 | 661 | 0 | 1471 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 4.46 | 5.60 | 0.00 | 12.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.361 | 4.606 | 12.297 | 0.000 | 0.619 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | C | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 77 | 284 | 351 | 3227 | 1227 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 3.59 | 4.44 | 40.85 | 15.53 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 0.548 | 4.094 | 0.814 | 0.487 | 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 | 69 | 67 | 130 | 224 | 0 | 499 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 1.88 | 3.25 | 0.00 | 7.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.731 | 3.215 | 0.000 | 0.429 | 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 | 114 | 112 | 176 | 596 | 0 | 629 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 1.54 | 5.23 | 0.00 | 5.52 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.369 | 0.857 | 4.712 | 0.000 | 0.722 | 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 | 167 | 175 | 178 | 1016 | 0 | 849 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 1.07 | 6.08 | 0.00 | 5.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.450 | 2.876 | 5.901 | 0.000 | 2.297 | 0.000 | 0.000 | 0.000 |
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 | 135 | 128 | 149 | 826 | 0 | 527 | 0 | 2026 | 0 |
N.S. |
1 | 0.95 | 1.10 | 6.12 | 0.00 | 3.90 | 0.00 | 15.01 | 0.00 |
time (sec) |
N/A | 0.322 | 2.404 | 16.964 | 0.000 | 7.519 | 0.000 | 3.262 | 0.000 |
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 | 104 | 102 | 99 | 518 | 0 | 443 | 0 | 1431 | 0 |
N.S. |
1 | 0.98 | 0.95 | 4.98 | 0.00 | 4.26 | 0.00 | 13.76 | 0.00 |
time (sec) |
N/A | 0.288 | 1.718 | 14.217 | 0.000 | 1.970 | 0.000 | 1.671 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 79 | 84 | 81 | 0 | 373 | 0 | 867 | 66 |
N.S. |
1 | 1.01 | 1.08 | 1.04 | 0.00 | 4.78 | 0.00 | 11.12 | 0.85 |
time (sec) |
N/A | 0.255 | 0.333 | 0.141 | 0.000 | 0.599 | 0.000 | 1.000 | 23.605 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | B | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 506 | 1330 | 0 | 1075 | 0 | 718 | 0 |
N.S. |
1 | 1.00 | 5.56 | 14.62 | 0.00 | 11.81 | 0.00 | 7.89 | 0.00 |
time (sec) |
N/A | 0.318 | 6.079 | 5.571 | 0.000 | 0.578 | 0.000 | 4.131 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 114 | 118 | 622 | 1569 | 0 | 1300 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 5.46 | 13.76 | 0.00 | 11.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.345 | 6.308 | 1.263 | 0.000 | 0.605 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 159 | 172 | 684 | 4839 | 0 | 1801 | 0 | 0 | 0 |
N.S. |
1 | 1.08 | 4.30 | 30.43 | 0.00 | 11.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.387 | 6.905 | 1.178 | 0.000 | 1.612 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 290 | 302 | 353 | 2229 | 0 | 1973 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 1.22 | 7.69 | 0.00 | 6.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.658 | 7.880 | 30.399 | 0.000 | 14.978 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 214 | 220 | 258 | 1619 | 0 | 1777 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 1.21 | 7.57 | 0.00 | 8.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.550 | 5.287 | 21.723 | 0.000 | 4.149 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | Yes | TBD | TBD | TBD | TBD | TBD |
size | 166 | 165 | 703 | 1119 | 0 | 1627 | 0 | 0 | 0 |
N.S. |
1 | 0.99 | 4.23 | 6.74 | 0.00 | 9.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.451 | 7.206 | 17.357 | 0.000 | 1.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 118 | 116 | 527 | 709 | 0 | 1457 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 4.47 | 6.01 | 0.00 | 12.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.271 | 2.095 | 8.033 | 0.000 | 0.623 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | No | No | TBD | TBD | TBD | TBD | TBD |
size | 111 | 106 | 410 | 539 | 0 | 1446 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 3.69 | 4.86 | 0.00 | 13.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.377 | 6.497 | 9.300 | 0.000 | 0.650 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 110 | 100 | 369 | 0 | 597 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.89 | 3.29 | 0.00 | 5.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.386 | 0.578 | 3.742 | 0.000 | 0.837 | 0.000 | 0.000 | 0.000 |