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 | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 17 | 19 | 18 | 18 | 12 | 18 | 18 |
N.S. |
1 | 0.00 | 1.00 | 1.12 | 1.06 | 1.06 | 0.71 | 1.06 | 1.06 |
time (sec) |
N/A | 0.000 | 0.243 | 0.825 | 0.218 | 0.249 | 0.063 | 0.295 | 13.884 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 19 | 18 | 51 | 35 | 32 | 20 | 20 |
N.S. |
1 | 0.00 | 0.66 | 0.62 | 1.76 | 1.21 | 1.10 | 0.69 | 0.69 |
time (sec) |
N/A | 0.000 | 0.020 | 0.434 | 0.265 | 0.254 | 0.065 | 0.281 | 13.683 |
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 | 21 | 13 | 17 | 14 | 13 | 20 | 10 | 13 | 13 |
N.S. |
1 | 0.62 | 0.81 | 0.67 | 0.62 | 0.95 | 0.48 | 0.62 | 0.62 |
time (sec) |
N/A | 0.201 | 0.012 | 0.762 | 0.185 | 0.253 | 0.046 | 0.286 | 13.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 24 | 25 | 25 | 25 | 20 | 25 | 23 |
N.S. |
1 | 0.00 | 1.09 | 1.14 | 1.14 | 1.14 | 0.91 | 1.14 | 1.05 |
time (sec) |
N/A | 0.000 | 0.514 | 0.119 | 0.222 | 0.281 | 0.055 | 0.277 | 0.108 |
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 | 5 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 |
N.S. |
1 | 0.60 | 0.60 | 0.60 | 0.40 | 0.40 | 0.40 | 0.40 | 0.40 |
time (sec) |
N/A | 0.128 | 0.000 | 0.092 | 0.212 | 0.260 | 0.027 | 0.266 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 339 | 35 | 22 | 120 | 49 | 20 | 55 | 23 |
N.S. |
1 | 12.56 | 1.30 | 0.81 | 4.44 | 1.81 | 0.74 | 2.04 | 0.85 |
time (sec) |
N/A | 0.842 | 1.148 | 0.133 | 0.311 | 0.254 | 0.085 | 0.272 | 13.402 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 30 | 25 | 25 | 39 | 24 | 31 | 28 | 29 |
N.S. |
1 | 1.03 | 0.86 | 0.86 | 1.34 | 0.83 | 1.07 | 0.97 | 1.00 |
time (sec) |
N/A | 0.552 | 0.079 | 0.062 | 0.239 | 0.253 | 0.045 | 0.281 | 12.929 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 303 | 72 | 48 | 856 | 41 | 44 | 366 | 47 |
N.S. |
1 | 11.22 | 2.67 | 1.78 | 31.70 | 1.52 | 1.63 | 13.56 | 1.74 |
time (sec) |
N/A | 0.712 | 0.173 | 0.664 | 0.215 | 0.258 | 0.153 | 0.279 | 13.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | A | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 48 | 90 | 87 | 52 | 87 | 271 | 94 |
N.S. |
1 | 0.00 | 1.66 | 3.10 | 3.00 | 1.79 | 3.00 | 9.34 | 3.24 |
time (sec) |
N/A | 0.000 | 0.100 | 1.586 | 0.335 | 0.251 | 0.297 | 0.576 | 20.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 75 | 63 | 15 | 27 | 14 | 12 | 0 | 11 |
N.S. |
1 | 5.36 | 4.50 | 1.07 | 1.93 | 1.00 | 0.86 | 0.00 | 0.79 |
time (sec) |
N/A | 0.443 | 0.020 | 0.760 | 0.181 | 0.254 | 0.057 | 0.000 | 14.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 24 | 21 | 30 | 20 | 29 | 20 | 18 |
N.S. |
1 | 1.00 | 0.86 | 0.75 | 1.07 | 0.71 | 1.04 | 0.71 | 0.64 |
time (sec) |
N/A | 0.200 | 0.056 | 0.240 | 0.233 | 0.255 | 0.062 | 0.286 | 13.673 |
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 | 38 | 19 | 20 | 19 | 24 | 19 | 26 | 19 |
N.S. |
1 | 1.73 | 0.86 | 0.91 | 0.86 | 1.09 | 0.86 | 1.18 | 0.86 |
time (sec) |
N/A | 0.892 | 0.216 | 0.145 | 0.310 | 0.254 | 0.075 | 0.272 | 13.043 |
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 | 21 | 26 | 21 | 26 | 25 | 25 | 27 | 25 | 20 |
N.S. |
1 | 1.24 | 1.00 | 1.24 | 1.19 | 1.19 | 1.29 | 1.19 | 0.95 |
time (sec) |
N/A | 0.196 | 0.091 | 0.148 | 0.186 | 0.258 | 0.050 | 0.270 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 28 | 24 | 24 | 47 | 31 | 0 | 62 |
N.S. |
1 | 0.00 | 0.97 | 0.83 | 0.83 | 1.62 | 1.07 | 0.00 | 2.14 |
time (sec) |
N/A | 0.000 | 0.102 | 2.219 | 0.458 | 0.253 | 0.182 | 0.000 | 13.856 |
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 | 24 | 22 | 19 | 18 | 21 | 15 | 21 | 18 |
N.S. |
1 | 1.09 | 1.00 | 0.86 | 0.82 | 0.95 | 0.68 | 0.95 | 0.82 |
time (sec) |
N/A | 0.178 | 0.018 | 0.233 | 0.213 | 0.249 | 0.048 | 0.260 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 34 | 385 | 28 | 705 | 23 | 26 | 38 | 27 |
N.S. |
1 | 1.36 | 15.40 | 1.12 | 28.20 | 0.92 | 1.04 | 1.52 | 1.08 |
time (sec) |
N/A | 1.123 | 0.891 | 2.702 | 1.673 | 0.261 | 0.100 | 0.313 | 14.953 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 21 | 25 | 19 | 68 | 18 | 19 | 18 | 18 |
N.S. |
1 | 0.84 | 1.00 | 0.76 | 2.72 | 0.72 | 0.76 | 0.72 | 0.72 |
time (sec) |
N/A | 0.395 | 0.062 | 0.644 | 0.320 | 0.281 | 0.078 | 0.289 | 13.677 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | A | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 57 | 38 | 55 | 44 | 49 | 44 | 46 |
N.S. |
1 | 0.00 | 2.11 | 1.41 | 2.04 | 1.63 | 1.81 | 1.63 | 1.70 |
time (sec) |
N/A | 0.000 | 5.173 | 0.169 | 0.250 | 0.259 | 0.129 | 0.294 | 13.618 |
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 | 22 | 24 | 19 | 18 | 18 | 17 | 18 | 18 |
N.S. |
1 | 0.88 | 0.96 | 0.76 | 0.72 | 0.72 | 0.68 | 0.72 | 0.72 |
time (sec) |
N/A | 0.196 | 0.015 | 0.095 | 0.181 | 0.257 | 0.083 | 0.269 | 12.961 |
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 | 18 | 18 | 18 | 17 | 16 | 16 | 15 | 19 | 22 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.89 | 0.89 | 0.83 | 1.06 | 1.22 |
time (sec) |
N/A | 0.212 | 0.010 | 0.539 | 0.181 | 0.246 | 0.061 | 0.261 | 0.059 |
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 | 13 | 8 | 8 | 9 | 8 | 8 | 7 | 27 | 8 |
N.S. |
1 | 0.62 | 0.62 | 0.69 | 0.62 | 0.62 | 0.54 | 2.08 | 0.62 |
time (sec) |
N/A | 0.200 | 0.032 | 0.240 | 0.185 | 0.261 | 0.059 | 0.272 | 12.954 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 41 | 46 | 34 | 50 | 40 | 41 | 31 | 16 |
N.S. |
1 | 2.05 | 2.30 | 1.70 | 2.50 | 2.00 | 2.05 | 1.55 | 0.80 |
time (sec) |
N/A | 0.223 | 0.013 | 0.114 | 0.222 | 0.250 | 0.075 | 0.276 | 13.526 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 50 | 16 | 17 | 41 | 20 | 76 | 43 | 18 |
N.S. |
1 | 3.33 | 1.07 | 1.13 | 2.73 | 1.33 | 5.07 | 2.87 | 1.20 |
time (sec) |
N/A | 0.191 | 0.019 | 0.499 | 0.181 | 0.244 | 0.444 | 0.266 | 12.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 30 | 56 | 50 | 40 | 24 | 37 | 183 |
N.S. |
1 | 0.00 | 0.94 | 1.75 | 1.56 | 1.25 | 0.75 | 1.16 | 5.72 |
time (sec) |
N/A | 0.000 | 0.108 | 10.888 | 0.357 | 0.276 | 0.200 | 0.360 | 12.827 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 192 | 35 | 33 | 157 | 72 | 131 | 89 | 109 |
N.S. |
1 | 7.38 | 1.35 | 1.27 | 6.04 | 2.77 | 5.04 | 3.42 | 4.19 |
time (sec) |
N/A | 0.501 | 5.450 | 0.119 | 0.194 | 0.258 | 0.111 | 0.271 | 12.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 39 | 42 | 46 | 40 | 34 | 46 | 40 |
N.S. |
1 | 0.00 | 1.18 | 1.27 | 1.39 | 1.21 | 1.03 | 1.39 | 1.21 |
time (sec) |
N/A | 0.000 | 0.203 | 1.317 | 0.447 | 0.264 | 0.530 | 0.633 | 13.573 |
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 | 26 | 34 | 22 | 34 | 34 | 26 | 34 | 34 | 22 |
N.S. |
1 | 1.31 | 0.85 | 1.31 | 1.31 | 1.00 | 1.31 | 1.31 | 0.85 |
time (sec) |
N/A | 0.201 | 0.004 | 0.160 | 0.183 | 0.242 | 0.052 | 0.255 | 0.054 |
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 | 40 | 36 | 29 | 31 | 34 | 31 | 30 | 34 |
N.S. |
1 | 1.82 | 1.64 | 1.32 | 1.41 | 1.55 | 1.41 | 1.36 | 1.55 |
time (sec) |
N/A | 0.310 | 0.027 | 0.079 | 0.193 | 0.255 | 0.370 | 0.259 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 21 | 53 | 74 | 52 | 71 | 73 | 0 |
N.S. |
1 | 0.00 | 0.91 | 2.30 | 3.22 | 2.26 | 3.09 | 3.17 | 0.00 |
time (sec) |
N/A | 0.000 | 5.175 | 0.662 | 0.255 | 0.258 | 3.964 | 0.331 | 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 | 27 | 53 | 36 | 50 | 44 | 47 | 42 | 56 | 49 |
N.S. |
1 | 1.96 | 1.33 | 1.85 | 1.63 | 1.74 | 1.56 | 2.07 | 1.81 |
time (sec) |
N/A | 0.981 | 0.224 | 0.786 | 0.242 | 0.268 | 0.175 | 0.279 | 12.446 |
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 | 24 | 34 | 37 | 22 | 41 | 26 | 49 | 0 | 50 |
N.S. |
1 | 1.42 | 1.54 | 0.92 | 1.71 | 1.08 | 2.04 | 0.00 | 2.08 |
time (sec) |
N/A | 0.782 | 0.542 | 4.174 | 0.309 | 0.254 | 3.888 | 0.000 | 13.356 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 0 | 20 | 18 | 24 | 48 | 14 | 0 | 17 |
N.S. |
1 | 0.00 | 1.00 | 0.90 | 1.20 | 2.40 | 0.70 | 0.00 | 0.85 |
time (sec) |
N/A | 0.000 | 1.818 | 1.404 | 0.402 | 0.264 | 0.235 | 0.000 | 13.514 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 69 | 30 | 38 | 181 | 43 | 44 | 44 | 20 |
N.S. |
1 | 3.29 | 1.43 | 1.81 | 8.62 | 2.05 | 2.10 | 2.10 | 0.95 |
time (sec) |
N/A | 0.526 | 0.725 | 0.092 | 0.211 | 0.251 | 0.070 | 0.258 | 0.090 |
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 | 20 | 22 | 20 | 22 | 20 | 30 | 20 | 20 | 26 |
N.S. |
1 | 1.10 | 1.00 | 1.10 | 1.00 | 1.50 | 1.00 | 1.00 | 1.30 |
time (sec) |
N/A | 0.222 | 0.019 | 0.626 | 0.187 | 0.236 | 0.069 | 0.253 | 0.085 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 49 | 49 | 65 | 43 | 75 | 60 | 0 | 47 |
N.S. |
1 | 1.63 | 1.63 | 2.17 | 1.43 | 2.50 | 2.00 | 0.00 | 1.57 |
time (sec) |
N/A | 18.745 | 0.271 | 0.191 | 0.432 | 0.269 | 1.835 | 0.000 | 12.825 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 21 | 17 | 20 | 17 | 20 | 22 | 17 |
N.S. |
1 | 0.00 | 0.91 | 0.74 | 0.87 | 0.74 | 0.87 | 0.96 | 0.74 |
time (sec) |
N/A | 0.000 | 0.337 | 0.662 | 0.315 | 0.244 | 0.125 | 0.279 | 13.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 79 | 87 | 131 | 145 | 119 | 155 | 0 |
N.S. |
1 | 0.00 | 2.82 | 3.11 | 4.68 | 5.18 | 4.25 | 5.54 | 0.00 |
time (sec) |
N/A | 0.000 | 0.217 | 0.380 | 0.497 | 0.266 | 0.313 | 3.543 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 31 | 21 | 26 | 32 | 26 | 55 | 28 |
N.S. |
1 | 0.00 | 1.24 | 0.84 | 1.04 | 1.28 | 1.04 | 2.20 | 1.12 |
time (sec) |
N/A | 0.000 | 1.217 | 6.760 | 0.311 | 0.256 | 1.839 | 0.324 | 12.843 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 26 | 30 | 42 | 42 | 37 | 31 | 0 |
N.S. |
1 | 0.00 | 0.81 | 0.94 | 1.31 | 1.31 | 1.16 | 0.97 | 0.00 |
time (sec) |
N/A | 0.000 | 0.510 | 0.791 | 0.219 | 0.255 | 0.316 | 0.276 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 49 | 36 | 56 | 38 | 37 | 89 | 63 |
N.S. |
1 | 0.00 | 1.53 | 1.12 | 1.75 | 1.19 | 1.16 | 2.78 | 1.97 |
time (sec) |
N/A | 0.000 | 3.811 | 1.455 | 0.256 | 0.253 | 0.110 | 1.094 | 12.810 |
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 | 12 | 10 | 10 | 8 | 7 | 7 | 8 | 7 | 7 |
N.S. |
1 | 0.83 | 0.83 | 0.67 | 0.58 | 0.58 | 0.67 | 0.58 | 0.58 |
time (sec) |
N/A | 0.124 | 0.000 | 0.073 | 0.192 | 0.236 | 0.019 | 0.272 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 23 | 23 | 20 | 24 | 19 | 19 | 21 | 20 |
N.S. |
1 | 1.05 | 1.05 | 0.91 | 1.09 | 0.86 | 0.86 | 0.95 | 0.91 |
time (sec) |
N/A | 0.223 | 0.089 | 0.214 | 0.216 | 0.269 | 0.058 | 0.274 | 12.176 |
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 | 16 | 15 | 15 | 14 | 13 | 27 | 12 | 13 | 13 |
N.S. |
1 | 0.94 | 0.94 | 0.88 | 0.81 | 1.69 | 0.75 | 0.81 | 0.81 |
time (sec) |
N/A | 0.155 | 0.021 | 0.163 | 0.191 | 0.263 | 0.050 | 0.270 | 0.072 |
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 | 16 | 20 | 16 | 15 | 18 | 21 | 14 | 21 | 14 |
N.S. |
1 | 1.25 | 1.00 | 0.94 | 1.12 | 1.31 | 0.88 | 1.31 | 0.88 |
time (sec) |
N/A | 0.173 | 0.007 | 0.108 | 0.182 | 0.244 | 0.054 | 0.277 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 27 | 35 | 0 | 34 | 0 | 0 | 72 |
N.S. |
1 | 0.00 | 0.93 | 1.21 | 0.00 | 1.17 | 0.00 | 0.00 | 2.48 |
time (sec) |
N/A | 0.000 | 0.377 | 9.149 | 0.000 | 0.252 | 0.000 | 0.000 | 0.404 |
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 | 23 | 18 | 16 | 15 | 23 | 14 | 16 | 17 |
N.S. |
1 | 0.92 | 0.72 | 0.64 | 0.60 | 0.92 | 0.56 | 0.64 | 0.68 |
time (sec) |
N/A | 0.249 | 0.017 | 0.094 | 0.199 | 0.265 | 0.130 | 0.272 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 30 | 34 | 57 | 31 | 31 | 57 | 443 |
N.S. |
1 | 0.00 | 1.15 | 1.31 | 2.19 | 1.19 | 1.19 | 2.19 | 17.04 |
time (sec) |
N/A | 0.000 | 0.038 | 25.874 | 0.235 | 0.261 | 0.092 | 0.318 | 12.955 |
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 | 27 | 26 | 26 | 25 | 38 | 27 | 26 | 25 | 34 |
N.S. |
1 | 0.96 | 0.96 | 0.93 | 1.41 | 1.00 | 0.96 | 0.93 | 1.26 |
time (sec) |
N/A | 0.207 | 0.085 | 0.240 | 0.217 | 0.254 | 0.136 | 0.283 | 12.716 |
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 | 31 | 26 | 26 | 24 | 25 | 39 | 22 | 25 | 23 |
N.S. |
1 | 0.84 | 0.84 | 0.77 | 0.81 | 1.26 | 0.71 | 0.81 | 0.74 |
time (sec) |
N/A | 0.417 | 0.021 | 0.303 | 0.181 | 0.260 | 0.091 | 0.283 | 0.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 16 | 12 | 14 | 14 | 15 | 0 | 15 |
N.S. |
1 | 0.00 | 0.94 | 0.71 | 0.82 | 0.82 | 0.88 | 0.00 | 0.88 |
time (sec) |
N/A | 0.000 | 0.559 | 0.523 | 0.382 | 0.264 | 0.203 | 0.000 | 12.427 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 21 | 18 | 37 | 43 | 24 | 25 | 28 |
N.S. |
1 | 1.00 | 0.91 | 0.78 | 1.61 | 1.87 | 1.04 | 1.09 | 1.22 |
time (sec) |
N/A | 0.489 | 0.100 | 0.830 | 0.241 | 0.260 | 0.059 | 0.286 | 12.522 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 21 | 23 | 21 | 21 | 19 | 21 | 23 |
N.S. |
1 | 0.00 | 1.00 | 1.10 | 1.00 | 1.00 | 0.90 | 1.00 | 1.10 |
time (sec) |
N/A | 0.000 | 0.815 | 4.928 | 0.282 | 0.254 | 0.217 | 0.289 | 12.568 |
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 | 13 | 14 | 11 | 10 | 11 | 9 | 10 | 10 | 9 |
N.S. |
1 | 1.08 | 0.85 | 0.77 | 0.85 | 0.69 | 0.77 | 0.77 | 0.69 |
time (sec) |
N/A | 0.158 | 0.020 | 0.200 | 0.182 | 0.250 | 0.058 | 0.252 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 29 | 104 | 26 | 24 | 20 | 36 | 24 |
N.S. |
1 | 0.00 | 1.16 | 4.16 | 1.04 | 0.96 | 0.80 | 1.44 | 0.96 |
time (sec) |
N/A | 0.000 | 0.160 | 3.237 | 0.233 | 0.266 | 0.905 | 0.491 | 13.157 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 21 | 22 | 25 | 25 | 22 | 26 | 513 |
N.S. |
1 | 0.00 | 1.00 | 1.05 | 1.19 | 1.19 | 1.05 | 1.24 | 24.43 |
time (sec) |
N/A | 0.000 | 0.249 | 2.741 | 0.305 | 0.244 | 0.093 | 0.272 | 13.821 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 27 | 20 | 19 | 30 | 20 | 38 | 42 |
N.S. |
1 | 0.00 | 0.96 | 0.71 | 0.68 | 1.07 | 0.71 | 1.36 | 1.50 |
time (sec) |
N/A | 0.000 | 3.082 | 0.332 | 0.233 | 0.275 | 0.070 | 0.280 | 0.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 28 | 27 | 32 | 44 | 20 | 0 | 139 |
N.S. |
1 | 0.00 | 1.00 | 0.96 | 1.14 | 1.57 | 0.71 | 0.00 | 4.96 |
time (sec) |
N/A | 0.000 | 0.098 | 107.659 | 0.318 | 0.259 | 0.143 | 0.000 | 13.746 |
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 | 27 | 43 | 28 | 21 | 38 | 25 | 19 | 95 | 21 |
N.S. |
1 | 1.59 | 1.04 | 0.78 | 1.41 | 0.93 | 0.70 | 3.52 | 0.78 |
time (sec) |
N/A | 0.439 | 0.092 | 0.517 | 0.178 | 0.267 | 0.071 | 0.280 | 12.429 |
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 | 23 | 39 | 39 | 34 | 38 | 38 | 34 | 38 | 32 |
N.S. |
1 | 1.70 | 1.70 | 1.48 | 1.65 | 1.65 | 1.48 | 1.65 | 1.39 |
time (sec) |
N/A | 0.161 | 0.008 | 0.128 | 0.182 | 0.270 | 0.025 | 0.268 | 0.110 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | B | B | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 79 | 25 | 40 | 43 | 43 | 44 | 0 | 0 |
N.S. |
1 | 3.29 | 1.04 | 1.67 | 1.79 | 1.79 | 1.83 | 0.00 | 0.00 |
time (sec) |
N/A | 1.769 | 0.212 | 1.556 | 0.325 | 0.312 | 0.406 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 31 | 31 | 30 | 30 | 29 | 30 | 30 |
N.S. |
1 | 0.00 | 1.19 | 1.19 | 1.15 | 1.15 | 1.12 | 1.15 | 1.15 |
time (sec) |
N/A | 0.000 | 2.852 | 0.077 | 0.217 | 0.265 | 0.078 | 0.276 | 0.107 |
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 | 9 | 9 | 9 | 9 | 8 | 8 | 8 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.89 | 0.89 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.143 | 0.019 | 0.227 | 0.195 | 0.242 | 0.061 | 0.271 | 0.029 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 40 | 45 | 91 | 65 | 49 | 52 | 0 |
N.S. |
1 | 0.00 | 1.67 | 1.88 | 3.79 | 2.71 | 2.04 | 2.17 | 0.00 |
time (sec) |
N/A | 0.000 | 2.182 | 0.807 | 0.309 | 0.269 | 0.179 | 0.369 | 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 | 9 | 9 | 9 | 9 | 8 | 8 | 5 | 8 | 8 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.89 | 0.89 | 0.56 | 0.89 | 0.89 |
time (sec) |
N/A | 0.126 | 0.000 | 0.007 | 0.179 | 0.239 | 0.015 | 0.268 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 32 | 32 | 36 | 53 | 48 | 31 | 59 | 50 |
N.S. |
1 | 0.84 | 0.84 | 0.95 | 1.39 | 1.26 | 0.82 | 1.55 | 1.32 |
time (sec) |
N/A | 1.364 | 5.079 | 3.709 | 0.386 | 0.265 | 0.132 | 0.309 | 13.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 0 | 48 | 27 | 41 | 41 | 26 | 0 | 30 |
N.S. |
1 | 0.00 | 1.30 | 0.73 | 1.11 | 1.11 | 0.70 | 0.00 | 0.81 |
time (sec) |
N/A | 0.000 | 0.106 | 0.684 | 0.238 | 0.254 | 0.108 | 0.000 | 12.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 28 | 21 | 0 | 22 | 27 | 0 | 21 |
N.S. |
1 | 0.00 | 0.93 | 0.70 | 0.00 | 0.73 | 0.90 | 0.00 | 0.70 |
time (sec) |
N/A | 0.000 | 0.111 | 0.509 | 0.000 | 0.256 | 41.782 | 0.000 | 12.864 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 33 | 25 | 26 | 48 | 24 | 0 | 48 |
N.S. |
1 | 0.00 | 1.10 | 0.83 | 0.87 | 1.60 | 0.80 | 0.00 | 1.60 |
time (sec) |
N/A | 0.000 | 0.281 | 0.447 | 0.329 | 0.256 | 0.160 | 0.000 | 0.243 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 32 | 25 | 31 | 27 | 31 | 0 | 35 |
N.S. |
1 | 0.00 | 1.10 | 0.86 | 1.07 | 0.93 | 1.07 | 0.00 | 1.21 |
time (sec) |
N/A | 0.000 | 1.573 | 0.156 | 0.253 | 0.261 | 0.191 | 0.000 | 13.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 28 | 26 | 26 | 31 | 28 | 27 | 28 | 0 |
N.S. |
1 | 0.93 | 0.87 | 0.87 | 1.03 | 0.93 | 0.90 | 0.93 | 0.00 |
time (sec) |
N/A | 1.180 | 0.088 | 1.500 | 0.246 | 0.258 | 0.158 | 0.418 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 0 | 144 | 117 | 148 | 94 | 177 | 0 | 125 |
N.S. |
1 | 0.00 | 3.89 | 3.16 | 4.00 | 2.54 | 4.78 | 0.00 | 3.38 |
time (sec) |
N/A | 0.000 | 0.232 | 2.740 | 0.246 | 0.275 | 0.296 | 0.000 | 0.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 27 | 17 | 34 | 35 | 35 | 34 | 40 | 27 |
N.S. |
1 | 1.59 | 1.00 | 2.00 | 2.06 | 2.06 | 2.00 | 2.35 | 1.59 |
time (sec) |
N/A | 0.182 | 0.014 | 0.133 | 0.181 | 0.252 | 0.058 | 0.265 | 0.070 |
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 | 13 | 13 | 16 | 12 | 11 | 14 | 12 | 11 |
N.S. |
1 | 0.87 | 0.87 | 1.07 | 0.80 | 0.73 | 0.93 | 0.80 | 0.73 |
time (sec) |
N/A | 0.129 | 0.001 | 0.076 | 0.181 | 0.292 | 0.023 | 0.260 | 0.033 |
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 | 30 | 16 | 16 | 13 | 12 | 12 | 12 | 15 | 12 |
N.S. |
1 | 0.53 | 0.53 | 0.43 | 0.40 | 0.40 | 0.40 | 0.50 | 0.40 |
time (sec) |
N/A | 0.199 | 0.048 | 0.079 | 0.232 | 0.263 | 0.093 | 0.264 | 12.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 22 | 20 | 24 | 19 | 17 | 19 | 19 |
N.S. |
1 | 0.00 | 1.00 | 0.91 | 1.09 | 0.86 | 0.77 | 0.86 | 0.86 |
time (sec) |
N/A | 0.000 | 0.142 | 0.336 | 0.326 | 0.249 | 0.081 | 0.282 | 13.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 33 | 39 | 49 | 43 | 37 | 0 | 30 |
N.S. |
1 | 0.00 | 1.38 | 1.62 | 2.04 | 1.79 | 1.54 | 0.00 | 1.25 |
time (sec) |
N/A | 0.000 | 7.089 | 0.647 | 0.282 | 0.260 | 0.223 | 0.000 | 12.692 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 0 | 18 | 18 | 17 | 17 | 17 | 17 | 17 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 0.94 | 0.94 | 0.94 | 0.94 | 0.94 |
time (sec) |
N/A | 0.000 | 0.122 | 0.418 | 0.262 | 0.246 | 0.085 | 0.283 | 0.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 32 | 34 | 31 | 28 | 28 | 31 | 28 | 30 |
N.S. |
1 | 2.13 | 2.27 | 2.07 | 1.87 | 1.87 | 2.07 | 1.87 | 2.00 |
time (sec) |
N/A | 0.161 | 0.005 | 0.078 | 0.186 | 0.272 | 0.024 | 0.290 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | F(-1) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 33 | 34 | 53 | 33 | 0 | 0 | 25 |
N.S. |
1 | 0.00 | 1.27 | 1.31 | 2.04 | 1.27 | 0.00 | 0.00 | 0.96 |
time (sec) |
N/A | 0.000 | 0.326 | 32.245 | 0.369 | 0.269 | 0.000 | 0.000 | 12.855 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 23 | 27 | 24 | 29 | 27 | 38 | 24 |
N.S. |
1 | 0.00 | 0.92 | 1.08 | 0.96 | 1.16 | 1.08 | 1.52 | 0.96 |
time (sec) |
N/A | 0.000 | 0.449 | 0.839 | 0.226 | 0.246 | 0.089 | 0.360 | 12.832 |
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 | 28 | 27 | 22 | 22 | 26 | 26 | 24 | 26 | 27 |
N.S. |
1 | 0.96 | 0.79 | 0.79 | 0.93 | 0.93 | 0.86 | 0.93 | 0.96 |
time (sec) |
N/A | 0.196 | 0.064 | 0.075 | 0.178 | 0.256 | 0.047 | 0.268 | 13.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 48 | 44 | 45 | 178 | 85 | 63 | 46 | 47 |
N.S. |
1 | 1.85 | 1.69 | 1.73 | 6.85 | 3.27 | 2.42 | 1.77 | 1.81 |
time (sec) |
N/A | 0.707 | 0.468 | 0.217 | 0.313 | 0.255 | 0.137 | 0.271 | 12.305 |
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 | 36 | 30 | 29 | 33 | 27 | 33 | 29 |
N.S. |
1 | 1.12 | 1.12 | 0.94 | 0.91 | 1.03 | 0.84 | 1.03 | 0.91 |
time (sec) |
N/A | 2.621 | 0.181 | 45.435 | 0.223 | 0.275 | 0.529 | 0.327 | 12.796 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 74 | 29 | 40 | 152 | 33 | 37 | 34 | 29 |
N.S. |
1 | 2.96 | 1.16 | 1.60 | 6.08 | 1.32 | 1.48 | 1.36 | 1.16 |
time (sec) |
N/A | 0.617 | 0.085 | 0.182 | 0.233 | 0.253 | 0.112 | 0.273 | 13.547 |
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 | 34 | 37 | 23 | 22 | 0 | 20 | 24 | 22 | 27 |
N.S. |
1 | 1.09 | 0.68 | 0.65 | 0.00 | 0.59 | 0.71 | 0.65 | 0.79 |
time (sec) |
N/A | 0.456 | 0.199 | 0.798 | 0.000 | 0.261 | 0.081 | 0.268 | 0.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 49 | 64 | 123 | 123 | 131 | 167 | 121 |
N.S. |
1 | 0.00 | 1.75 | 2.29 | 4.39 | 4.39 | 4.68 | 5.96 | 4.32 |
time (sec) |
N/A | 0.000 | 0.213 | 11.737 | 0.366 | 0.275 | 0.219 | 0.582 | 14.608 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 26 | 27 | 27 | 26 | 24 | 27 | 27 |
N.S. |
1 | 0.00 | 0.81 | 0.84 | 0.84 | 0.81 | 0.75 | 0.84 | 0.84 |
time (sec) |
N/A | 0.000 | 0.055 | 0.408 | 0.217 | 0.255 | 0.213 | 0.316 | 14.915 |
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 | 20 | 24 | 19 | 20 | 25 | 30 | 22 | 32 | 19 |
N.S. |
1 | 1.20 | 0.95 | 1.00 | 1.25 | 1.50 | 1.10 | 1.60 | 0.95 |
time (sec) |
N/A | 0.208 | 0.014 | 0.163 | 0.188 | 0.264 | 0.061 | 0.283 | 0.124 |
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 | 24 | 22 | 24 | 18 | 20 | 17 | 17 | 17 | 18 |
N.S. |
1 | 0.92 | 1.00 | 0.75 | 0.83 | 0.71 | 0.71 | 0.71 | 0.75 |
time (sec) |
N/A | 0.521 | 0.135 | 1.332 | 0.224 | 0.268 | 0.057 | 0.279 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 35 | 0 | 36 | 36 | 35 | 45 | 27 | 47 | 29 |
N.S. |
1 | 0.00 | 1.03 | 1.03 | 1.00 | 1.29 | 0.77 | 1.34 | 0.83 |
time (sec) |
N/A | 0.000 | 11.173 | 15.534 | 0.306 | 0.261 | 0.222 | 0.296 | 13.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 18 | 18 | 103 | 29 | 15 | 108 | 16 |
N.S. |
1 | 1.00 | 0.90 | 0.90 | 5.15 | 1.45 | 0.75 | 5.40 | 0.80 |
time (sec) |
N/A | 0.409 | 0.038 | 0.731 | 0.291 | 0.254 | 0.118 | 0.284 | 13.884 |
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 | 16 | 19 | 17 | 15 | 20 | 14 | 12 | 14 | 14 |
N.S. |
1 | 1.19 | 1.06 | 0.94 | 1.25 | 0.88 | 0.75 | 0.88 | 0.88 |
time (sec) |
N/A | 0.392 | 0.315 | 0.823 | 0.318 | 0.243 | 0.053 | 0.290 | 13.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 54 | 24 | 22 | 19 | 21 | 19 | 21 | 21 |
N.S. |
1 | 2.45 | 1.09 | 1.00 | 0.86 | 0.95 | 0.86 | 0.95 | 0.95 |
time (sec) |
N/A | 0.211 | 2.491 | 0.243 | 0.254 | 0.256 | 0.102 | 0.280 | 13.305 |
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 | 17 | 15 | 15 | 15 | 14 | 18 | 12 | 15 | 14 |
N.S. |
1 | 0.88 | 0.88 | 0.88 | 0.82 | 1.06 | 0.71 | 0.88 | 0.82 |
time (sec) |
N/A | 0.145 | 0.003 | 0.089 | 0.173 | 0.238 | 0.040 | 0.260 | 13.386 |
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 | 30 | 30 | 30 | 26 | 25 | 26 | 26 | 25 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.87 | 0.83 | 0.87 | 0.87 | 0.83 | 0.87 |
time (sec) |
N/A | 0.198 | 0.020 | 0.245 | 0.191 | 0.246 | 0.117 | 0.270 | 14.543 |
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 | 12 | 10 | 10 | 11 | 10 | 10 | 10 | 11 | 10 |
N.S. |
1 | 0.83 | 0.83 | 0.92 | 0.83 | 0.83 | 0.83 | 0.92 | 0.83 |
time (sec) |
N/A | 0.172 | 0.002 | 0.115 | 0.186 | 0.258 | 0.039 | 0.285 | 12.989 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 0 | 31 | 27 | 26 | 39 | 29 | 0 | 26 |
N.S. |
1 | 0.00 | 0.91 | 0.79 | 0.76 | 1.15 | 0.85 | 0.00 | 0.76 |
time (sec) |
N/A | 0.000 | 0.098 | 0.247 | 0.257 | 0.263 | 0.099 | 0.000 | 12.644 |
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 | 27 | 21 | 18 | 16 | 15 | 17 | 15 | 17 | 16 |
N.S. |
1 | 0.78 | 0.67 | 0.59 | 0.56 | 0.63 | 0.56 | 0.63 | 0.59 |
time (sec) |
N/A | 0.152 | 0.024 | 0.096 | 0.203 | 0.257 | 0.036 | 0.280 | 13.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 23 | 15 | 38 | 0 | 15 | 18 |
N.S. |
1 | 1.00 | 1.00 | 1.28 | 0.83 | 2.11 | 0.00 | 0.83 | 1.00 |
time (sec) |
N/A | 0.479 | 0.169 | 3.721 | 0.291 | 0.265 | 0.000 | 0.290 | 14.048 |
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 | 24 | 26 | 26 | 23 | 34 | 22 | 22 | 23 | 33 |
N.S. |
1 | 1.08 | 1.08 | 0.96 | 1.42 | 0.92 | 0.92 | 0.96 | 1.38 |
time (sec) |
N/A | 0.735 | 0.184 | 0.739 | 0.304 | 0.250 | 0.131 | 0.292 | 13.554 |