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 | B | B | A | B | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 75 | 83 | 11 | 47 | 10 | 10 | 10 | 10 |
N.S. |
1 | 6.25 | 6.92 | 0.92 | 3.92 | 0.83 | 0.83 | 0.83 | 0.83 |
time (sec) |
N/A | 0.471 | 0.032 | 0.367 | 0.193 | 0.253 | 0.082 | 0.262 | 11.259 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | B | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 33 | 33 | 42 | 72 | 0 | 35 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 1.27 | 2.18 | 0.00 | 1.06 | 0.00 |
time (sec) |
N/A | 0.000 | 5.154 | 19.479 | 0.268 | 0.249 | 0.000 | 0.369 | 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 | 23 | 0 | 22 | 25 | 38 | 25 | 22 | 39 | 25 |
N.S. |
1 | 0.00 | 0.96 | 1.09 | 1.65 | 1.09 | 0.96 | 1.70 | 1.09 |
time (sec) |
N/A | 0.000 | 0.411 | 2.737 | 0.313 | 0.271 | 0.301 | 0.294 | 11.997 |
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 | 24 | 21 | 17 | 17 | 22 | 20 | 16 |
N.S. |
1 | 0.00 | 1.41 | 1.24 | 1.00 | 1.00 | 1.29 | 1.18 | 0.94 |
time (sec) |
N/A | 0.000 | 0.154 | 6.384 | 0.212 | 0.240 | 0.170 | 0.278 | 14.709 |
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 | 23 | 0 | 23 | 21 | 21 | 21 | 27 | 40 | 0 |
N.S. |
1 | 0.00 | 1.00 | 0.91 | 0.91 | 0.91 | 1.17 | 1.74 | 0.00 |
time (sec) |
N/A | 0.000 | 3.755 | 0.465 | 0.235 | 0.272 | 3.681 | 0.282 | 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 | 23 | 19 | 13 | 12 | 13 | 12 | 42 | 12 |
N.S. |
1 | 0.85 | 0.70 | 0.48 | 0.44 | 0.48 | 0.44 | 1.56 | 0.44 |
time (sec) |
N/A | 0.176 | 0.016 | 0.142 | 0.196 | 0.240 | 0.060 | 0.270 | 11.652 |
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 | 24 | 77 | 43 | 33 | 47 | 29 | 37 | 32 | 34 |
N.S. |
1 | 3.21 | 1.79 | 1.38 | 1.96 | 1.21 | 1.54 | 1.33 | 1.42 |
time (sec) |
N/A | 0.250 | 0.021 | 0.079 | 0.184 | 0.249 | 0.132 | 0.273 | 11.437 |
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 | 28 | 0 | 28 | 26 | 25 | 65 | 22 | 0 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.93 | 0.89 | 2.32 | 0.79 | 0.00 | 0.93 |
time (sec) |
N/A | 0.000 | 0.689 | 5.276 | 0.338 | 0.247 | 3.638 | 0.000 | 12.272 |
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 | 26 | 0 | 23 | 24 | 24 | 24 | 24 | 24 | 0 |
N.S. |
1 | 0.00 | 0.88 | 0.92 | 0.92 | 0.92 | 0.92 | 0.92 | 0.00 |
time (sec) |
N/A | 0.000 | 0.164 | 0.944 | 0.291 | 0.244 | 0.100 | 0.296 | 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 | 26 | 39 | 29 | 34 | 27 | 30 | 39 | 23 | 24 |
N.S. |
1 | 1.50 | 1.12 | 1.31 | 1.04 | 1.15 | 1.50 | 0.88 | 0.92 |
time (sec) |
N/A | 0.762 | 0.288 | 0.268 | 0.434 | 0.258 | 0.267 | 0.317 | 10.940 |
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 | 27 | 12 | 12 | 21 | 11 | 10 | 11 | 9 |
N.S. |
1 | 1.69 | 0.75 | 0.75 | 1.31 | 0.69 | 0.62 | 0.69 | 0.56 |
time (sec) |
N/A | 0.154 | 0.025 | 0.056 | 0.192 | 0.245 | 0.056 | 0.251 | 10.652 |
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 | 29 | 27 | 24 | 23 | 27 | 24 | 23 |
N.S. |
1 | 0.92 | 1.21 | 1.12 | 1.00 | 0.96 | 1.12 | 1.00 | 0.96 |
time (sec) |
N/A | 0.134 | 0.003 | 0.041 | 0.208 | 0.236 | 0.033 | 0.256 | 10.670 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | F(-2) | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 43 | 42 | 39 | 39 | 37 | 0 | 39 |
N.S. |
1 | 0.00 | 1.87 | 1.83 | 1.70 | 1.70 | 1.61 | 0.00 | 1.70 |
time (sec) |
N/A | 0.000 | 4.433 | 2.349 | 0.308 | 0.249 | 0.521 | 0.000 | 0.442 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 700 | 711 | 683 | 780 | 666 | 0 | 1412 | 767 |
N.S. |
1 | 26.92 | 27.35 | 26.27 | 30.00 | 25.62 | 0.00 | 54.31 | 29.50 |
time (sec) |
N/A | 5.006 | 0.880 | 0.867 | 0.264 | 0.262 | 0.000 | 0.302 | 11.662 |
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 | 23 | 41 | 41 | 42 | 41 | 39 | 37 | 41 | 34 |
N.S. |
1 | 1.78 | 1.78 | 1.83 | 1.78 | 1.70 | 1.61 | 1.78 | 1.48 |
time (sec) |
N/A | 0.463 | 0.007 | 0.529 | 0.239 | 0.247 | 0.090 | 0.278 | 11.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 43 | 274 | 248 | 196 | 243 | 314 | 0 |
N.S. |
1 | 0.00 | 1.54 | 9.79 | 8.86 | 7.00 | 8.68 | 11.21 | 0.00 |
time (sec) |
N/A | 0.000 | 0.314 | 17.797 | 0.853 | 0.254 | 0.622 | 1.844 | 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 | 3 | 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.67 | 0.67 | 0.67 | 0.67 | 0.67 |
time (sec) |
N/A | 0.126 | 0.000 | 0.052 | 0.184 | 0.231 | 0.042 | 0.267 | 0.008 |
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 | 27 | 0 | 25 | 26 | 33 | 24 | 29 | 32 | 108 |
N.S. |
1 | 0.00 | 0.93 | 0.96 | 1.22 | 0.89 | 1.07 | 1.19 | 4.00 |
time (sec) |
N/A | 0.000 | 3.012 | 5.940 | 0.337 | 0.252 | 0.148 | 0.322 | 11.751 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | F | B | F(-1) | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 0 | 82 | 35 | 0 | 64 | 0 | 272 | 254 |
N.S. |
1 | 0.00 | 2.05 | 0.88 | 0.00 | 1.60 | 0.00 | 6.80 | 6.35 |
time (sec) |
N/A | 0.000 | 0.491 | 4.210 | 0.000 | 0.243 | 0.000 | 0.614 | 12.333 |
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 | 24 | 0 | 17 | 15 | 16 | 16 | 14 | 15 | 16 |
N.S. |
1 | 0.00 | 0.71 | 0.62 | 0.67 | 0.67 | 0.58 | 0.62 | 0.67 |
time (sec) |
N/A | 0.000 | 0.386 | 0.053 | 0.224 | 0.253 | 0.094 | 0.259 | 0.110 |
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 | 17 | 21 | 15 | 14 | 22 | 10 | 14 | 14 |
N.S. |
1 | 1.06 | 1.31 | 0.94 | 0.88 | 1.38 | 0.62 | 0.88 | 0.88 |
time (sec) |
N/A | 0.191 | 0.016 | 0.622 | 0.199 | 0.247 | 0.058 | 0.276 | 0.096 |
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 | 10 | 10 | 11 | 10 | 15 | 8 | 11 | 10 |
N.S. |
1 | 0.50 | 0.50 | 0.55 | 0.50 | 0.75 | 0.40 | 0.55 | 0.50 |
time (sec) |
N/A | 0.194 | 0.008 | 0.023 | 0.187 | 0.254 | 0.048 | 0.264 | 11.153 |
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 | 31 | 33 | 32 | 28 | 27 | 28 | 26 |
N.S. |
1 | 0.00 | 0.94 | 1.00 | 0.97 | 0.85 | 0.82 | 0.85 | 0.79 |
time (sec) |
N/A | 0.000 | 0.752 | 0.654 | 0.337 | 0.252 | 6.025 | 0.299 | 11.588 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 23 | 23 | 59 | 57 | 57 | 60 | 122 | 62 |
N.S. |
1 | 1.28 | 1.28 | 3.28 | 3.17 | 3.17 | 3.33 | 6.78 | 3.44 |
time (sec) |
N/A | 0.513 | 0.031 | 1.785 | 0.253 | 0.260 | 0.624 | 0.355 | 11.664 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | A | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 17 | 17 | 17 | 20 | 0 | 17 |
N.S. |
1 | 0.00 | 0.00 | 0.89 | 0.89 | 0.89 | 1.05 | 0.00 | 0.89 |
time (sec) |
N/A | 0.000 | 0.000 | 0.584 | 0.314 | 0.251 | 0.134 | 0.000 | 0.125 |
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 | 9 | 9 | 10 | 9 | 9 | 8 | 11 | 9 |
N.S. |
1 | 0.69 | 0.69 | 0.77 | 0.69 | 0.69 | 0.62 | 0.85 | 0.69 |
time (sec) |
N/A | 0.149 | 0.005 | 0.301 | 0.190 | 0.250 | 0.058 | 0.263 | 10.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 32 | 37 | 48 | 50 | 60 | 56 | 0 |
N.S. |
1 | 0.00 | 1.23 | 1.42 | 1.85 | 1.92 | 2.31 | 2.15 | 0.00 |
time (sec) |
N/A | 0.000 | 0.137 | 1.455 | 0.247 | 0.250 | 0.257 | 0.301 | 0.000 |
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 | 40 | 30 | 26 | 54 | 33 | 41 | 41 | 29 |
N.S. |
1 | 1.60 | 1.20 | 1.04 | 2.16 | 1.32 | 1.64 | 1.64 | 1.16 |
time (sec) |
N/A | 0.222 | 0.015 | 0.111 | 0.189 | 0.257 | 0.114 | 0.272 | 10.919 |
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 | 14 | 16 | 14 | 11 | 16 | 16 | 17 | 10 | 10 |
N.S. |
1 | 1.14 | 1.00 | 0.79 | 1.14 | 1.14 | 1.21 | 0.71 | 0.71 |
time (sec) |
N/A | 0.166 | 0.007 | 0.093 | 0.188 | 0.237 | 0.061 | 0.248 | 11.191 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | A | A | F(-2) | A | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 0 | 22 | 34 | 21 | 0 | 22 | 23 |
N.S. |
1 | 0.00 | 0.00 | 0.92 | 1.42 | 0.88 | 0.00 | 0.92 | 0.96 |
time (sec) |
N/A | 0.000 | 0.000 | 167.868 | 0.472 | 0.246 | 0.000 | 0.281 | 11.892 |
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 | 13 | 14 | 19 | 19 | 17 | 12 |
N.S. |
1 | 0.88 | 0.88 | 0.76 | 0.82 | 1.12 | 1.12 | 1.00 | 0.71 |
time (sec) |
N/A | 0.384 | 0.019 | 0.301 | 0.320 | 0.245 | 0.134 | 0.262 | 11.459 |
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 | 19 | 19 | 17 | 16 | 16 | 14 | 16 | 16 |
N.S. |
1 | 0.90 | 0.90 | 0.81 | 0.76 | 0.76 | 0.67 | 0.76 | 0.76 |
time (sec) |
N/A | 0.371 | 5.020 | 0.325 | 0.356 | 0.247 | 0.164 | 0.265 | 0.365 |
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 | 12 | 12 | 12 | 11 | 11 | 10 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.92 | 0.92 | 0.83 | 0.92 | 0.92 |
time (sec) |
N/A | 0.225 | 0.015 | 0.095 | 0.185 | 0.238 | 0.097 | 0.263 | 11.190 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | F | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 52 | 23 | 0 | 20 | 0 | 35 | 18 |
N.S. |
1 | 1.00 | 2.36 | 1.05 | 0.00 | 0.91 | 0.00 | 1.59 | 0.82 |
time (sec) |
N/A | 0.658 | 0.040 | 5.279 | 0.000 | 0.262 | 0.000 | 0.308 | 11.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 79 | 73 | 27 | 33 | 30 | 31 | 33 | 33 |
N.S. |
1 | 3.29 | 3.04 | 1.12 | 1.38 | 1.25 | 1.29 | 1.38 | 1.38 |
time (sec) |
N/A | 0.484 | 0.106 | 0.674 | 0.376 | 0.239 | 0.150 | 0.317 | 12.983 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 0 | 43 | 29 | 0 | 37 | 37 | 0 | 0 |
N.S. |
1 | 0.00 | 1.34 | 0.91 | 0.00 | 1.16 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.410 | 0.331 | 0.000 | 0.271 | 5.588 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 39 | 21 | 34 | 23 | 68 | 36 | 69 | 39 |
N.S. |
1 | 1.86 | 1.00 | 1.62 | 1.10 | 3.24 | 1.71 | 3.29 | 1.86 |
time (sec) |
N/A | 0.214 | 0.017 | 0.066 | 0.299 | 0.248 | 0.069 | 0.283 | 11.285 |
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 | 33 | 33 | 32 | 32 | 29 | 32 | 32 |
N.S. |
1 | 0.00 | 1.32 | 1.32 | 1.28 | 1.28 | 1.16 | 1.28 | 1.28 |
time (sec) |
N/A | 0.000 | 0.034 | 0.191 | 0.204 | 0.250 | 8.360 | 0.287 | 0.253 |
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 | 22 | 26 | 25 | 22 | 20 | 22 | 19 |
N.S. |
1 | 0.00 | 0.76 | 0.90 | 0.86 | 0.76 | 0.69 | 0.76 | 0.66 |
time (sec) |
N/A | 0.000 | 0.280 | 0.200 | 0.257 | 0.247 | 0.094 | 0.267 | 11.212 |
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 | 38 | 25 | 24 | 27 | 27 | 27 | 27 | 19 |
N.S. |
1 | 1.65 | 1.09 | 1.04 | 1.17 | 1.17 | 1.17 | 1.17 | 0.83 |
time (sec) |
N/A | 0.228 | 0.011 | 0.152 | 0.191 | 0.247 | 0.166 | 0.259 | 0.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 30 | 25 | 22 | 18 | 18 | 0 | 31 | 35 |
N.S. |
1 | 1.11 | 0.93 | 0.81 | 0.67 | 0.67 | 0.00 | 1.15 | 1.30 |
time (sec) |
N/A | 0.305 | 0.214 | 0.073 | 0.196 | 0.253 | 0.000 | 0.713 | 11.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | F | F | F(-2) | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 101 | 26 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 3.88 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 0 | 49 | 29 | 113 | 29 | 32 | 45 | 27 |
N.S. |
1 | 0.00 | 1.75 | 1.04 | 4.04 | 1.04 | 1.14 | 1.61 | 0.96 |
time (sec) |
N/A | 0.000 | 0.106 | 0.258 | 0.207 | 0.241 | 0.193 | 0.262 | 11.131 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | B | A | F | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 0 | 16 | 20 | 0 | 35 | 19 | 0 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.25 | 0.00 | 2.19 | 1.19 | 0.00 | 0.00 |
time (sec) |
N/A | 0.000 | 1.634 | 0.274 | 0.000 | 0.250 | 0.197 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 0 | 22 | 23 | 61 | 61 | 31 | 61 | 44 |
N.S. |
1 | 0.00 | 0.88 | 0.92 | 2.44 | 2.44 | 1.24 | 2.44 | 1.76 |
time (sec) |
N/A | 0.000 | 0.053 | 0.242 | 0.243 | 0.261 | 0.080 | 0.281 | 11.764 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 52 | 55 | 49 | 49 | 68 | 56 | 0 |
N.S. |
1 | 0.00 | 1.73 | 1.83 | 1.63 | 1.63 | 2.27 | 1.87 | 0.00 |
time (sec) |
N/A | 0.000 | 0.093 | 0.280 | 0.346 | 0.255 | 0.313 | 0.372 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | B | A | F(-2) | B | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 0 | 37 | 75 | 36 | 0 | 143 | 35 |
N.S. |
1 | 0.00 | 0.00 | 1.28 | 2.59 | 1.24 | 0.00 | 4.93 | 1.21 |
time (sec) |
N/A | 0.000 | 0.000 | 9.431 | 0.355 | 0.237 | 0.000 | 1.018 | 11.918 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 23 | 26 | 20 | 28 | 0 | 28 | 0 |
N.S. |
1 | 0.00 | 1.21 | 1.37 | 1.05 | 1.47 | 0.00 | 1.47 | 0.00 |
time (sec) |
N/A | 0.000 | 1.672 | 0.484 | 0.319 | 0.240 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F | A | F(-2) | A | A | F | B |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 0 | 36 | 0 | 36 | 37 | 0 | 48 |
N.S. |
1 | 0.00 | 0.00 | 1.38 | 0.00 | 1.38 | 1.42 | 0.00 | 1.85 |
time (sec) |
N/A | 0.000 | 0.000 | 57.954 | 0.000 | 0.254 | 1.615 | 0.000 | 11.714 |
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 | 15 | 15 | 16 | 15 | 15 | 14 | 15 | 15 |
N.S. |
1 | 1.15 | 1.15 | 1.23 | 1.15 | 1.15 | 1.08 | 1.15 | 1.15 |
time (sec) |
N/A | 0.441 | 0.454 | 0.380 | 0.228 | 0.252 | 0.092 | 0.276 | 0.366 |
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 | 19 | 19 | 17 | 13 | 12 | 12 | 15 | 12 | 12 |
N.S. |
1 | 1.00 | 0.89 | 0.68 | 0.63 | 0.63 | 0.79 | 0.63 | 0.63 |
time (sec) |
N/A | 0.164 | 0.011 | 0.114 | 0.190 | 0.256 | 0.052 | 0.256 | 0.055 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 60 | 61 | 54 | 66 | 52 | 54 | 61 | 49 |
N.S. |
1 | 2.40 | 2.44 | 2.16 | 2.64 | 2.08 | 2.16 | 2.44 | 1.96 |
time (sec) |
N/A | 0.208 | 0.024 | 0.069 | 0.199 | 0.252 | 0.079 | 0.253 | 11.293 |
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 | 21 | 18 | 14 | 19 | 16 | 20 | 19 | 17 |
N.S. |
1 | 1.17 | 1.00 | 0.78 | 1.06 | 0.89 | 1.11 | 1.06 | 0.94 |
time (sec) |
N/A | 0.310 | 0.311 | 0.526 | 0.337 | 0.237 | 0.202 | 0.265 | 11.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 30 | 30 | 53 | 33 | 52 | 61 | 63 | 52 |
N.S. |
1 | 1.20 | 1.20 | 2.12 | 1.32 | 2.08 | 2.44 | 2.52 | 2.08 |
time (sec) |
N/A | 0.919 | 0.087 | 33.414 | 0.373 | 0.241 | 6.040 | 3.327 | 11.754 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-2) | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 33 | 27 | 26 | 26 | 0 | 0 | 21 |
N.S. |
1 | 0.00 | 1.14 | 0.93 | 0.90 | 0.90 | 0.00 | 0.00 | 0.72 |
time (sec) |
N/A | 0.000 | 1.555 | 0.830 | 0.266 | 0.260 | 0.000 | 0.000 | 11.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-2) | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 22 | 26 | 25 | 25 | 0 | 29 | 20 |
N.S. |
1 | 0.00 | 0.92 | 1.08 | 1.04 | 1.04 | 0.00 | 1.21 | 0.83 |
time (sec) |
N/A | 0.000 | 0.517 | 0.832 | 0.278 | 0.254 | 0.000 | 0.267 | 11.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | C | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 29 | 62 | 33 | 2626 | 43 | 37 | 32 | 54 | 0 |
N.S. |
1 | 2.14 | 1.14 | 90.55 | 1.48 | 1.28 | 1.10 | 1.86 | 0.00 |
time (sec) |
N/A | 14.455 | 0.178 | 0.095 | 0.293 | 0.272 | 0.682 | 0.445 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 26 | 67 | 146 | 63 | 70 | 0 | 213 |
N.S. |
1 | 0.00 | 1.24 | 3.19 | 6.95 | 3.00 | 3.33 | 0.00 | 10.14 |
time (sec) |
N/A | 0.000 | 0.164 | 1.181 | 2.159 | 0.277 | 1.691 | 0.000 | 12.008 |
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 | 28 | 23 | 40 | 40 | 22 | 40 | 39 |
N.S. |
1 | 0.00 | 1.00 | 0.82 | 1.43 | 1.43 | 0.79 | 1.43 | 1.39 |
time (sec) |
N/A | 0.000 | 0.379 | 0.316 | 0.324 | 0.266 | 0.089 | 0.286 | 11.115 |
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 | 28 | 27 | 27 | 30 | 29 | 31 | 60 | 29 | 47 |
N.S. |
1 | 0.96 | 0.96 | 1.07 | 1.04 | 1.11 | 2.14 | 1.04 | 1.68 |
time (sec) |
N/A | 0.163 | 0.010 | 0.107 | 0.189 | 0.253 | 0.063 | 0.264 | 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 | 28 | 25 | 22 | 23 | 35 | 35 | 17 | 35 | 21 |
N.S. |
1 | 0.89 | 0.79 | 0.82 | 1.25 | 1.25 | 0.61 | 1.25 | 0.75 |
time (sec) |
N/A | 0.928 | 0.250 | 8.628 | 0.309 | 0.268 | 0.126 | 0.497 | 11.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 21 | 32 | 61 | 61 | 63 | 61 | 71 |
N.S. |
1 | 0.00 | 0.91 | 1.39 | 2.65 | 2.65 | 2.74 | 2.65 | 3.09 |
time (sec) |
N/A | 0.000 | 2.662 | 0.362 | 0.253 | 0.257 | 0.136 | 0.263 | 14.328 |
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 | 20 | 20 | 29 | 29 | 14 | 19 | 90 |
N.S. |
1 | 0.00 | 0.87 | 0.87 | 1.26 | 1.26 | 0.61 | 0.83 | 3.91 |
time (sec) |
N/A | 0.000 | 0.297 | 1.937 | 0.237 | 0.267 | 0.207 | 0.338 | 11.541 |
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 | 36 | 0 | 38 | 36 | 35 | 35 | 31 | 35 | 216 |
N.S. |
1 | 0.00 | 1.06 | 1.00 | 0.97 | 0.97 | 0.86 | 0.97 | 6.00 |
time (sec) |
N/A | 0.000 | 0.118 | 16.250 | 0.364 | 0.264 | 0.224 | 0.509 | 11.722 |
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 | 34 | 23 | 25 | 18 | 22 | 22 | 15 | 22 | 24 |
N.S. |
1 | 0.68 | 0.74 | 0.53 | 0.65 | 0.65 | 0.44 | 0.65 | 0.71 |
time (sec) |
N/A | 0.152 | 0.004 | 0.058 | 0.180 | 0.248 | 0.027 | 0.262 | 0.527 |
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 | 11 | 9 | 9 | 9 | 9 | 7 | 9 | 8 |
N.S. |
1 | 0.69 | 0.56 | 0.56 | 0.56 | 0.56 | 0.44 | 0.56 | 0.50 |
time (sec) |
N/A | 0.127 | 0.000 | 0.020 | 0.175 | 0.244 | 0.020 | 0.252 | 0.031 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 62 | 21 | 20 | 24 | 27 | 20 | 54 | 25 |
N.S. |
1 | 2.30 | 0.78 | 0.74 | 0.89 | 1.00 | 0.74 | 2.00 | 0.93 |
time (sec) |
N/A | 0.326 | 0.029 | 0.199 | 0.173 | 0.281 | 0.448 | 0.256 | 10.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | C | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 27 | 27 | 56 | 69 | 46 | 53 | 88 | 38 |
N.S. |
1 | 0.96 | 0.96 | 2.00 | 2.46 | 1.64 | 1.89 | 3.14 | 1.36 |
time (sec) |
N/A | 0.494 | 0.028 | 0.795 | 0.302 | 0.264 | 0.197 | 0.259 | 11.436 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 96 | 28 | 35 | 57 | 72 | 53 | 60 | 169 |
N.S. |
1 | 4.17 | 1.22 | 1.52 | 2.48 | 3.13 | 2.30 | 2.61 | 7.35 |
time (sec) |
N/A | 1.584 | 5.079 | 0.555 | 0.248 | 0.278 | 0.145 | 0.295 | 11.880 |
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 | 36 | 29 | 28 | 27 | 27 | 24 | 27 | 25 |
N.S. |
1 | 1.64 | 1.32 | 1.27 | 1.23 | 1.23 | 1.09 | 1.23 | 1.14 |
time (sec) |
N/A | 0.171 | 0.018 | 0.115 | 0.184 | 0.294 | 0.061 | 0.282 | 11.098 |
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 | 19 | 20 | 19 | 16 | 15 | 17 | 17 | 17 | 17 |
N.S. |
1 | 1.05 | 1.00 | 0.84 | 0.79 | 0.89 | 0.89 | 0.89 | 0.89 |
time (sec) |
N/A | 0.163 | 0.086 | 0.259 | 0.194 | 0.261 | 0.059 | 0.246 | 0.122 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | C | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 18 | 17 | 18 | 28 | 17 | 14 | 45 | 17 |
N.S. |
1 | 0.95 | 0.89 | 0.95 | 1.47 | 0.89 | 0.74 | 2.37 | 0.89 |
time (sec) |
N/A | 0.381 | 0.072 | 0.519 | 0.208 | 0.264 | 0.106 | 0.263 | 11.791 |
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 | 38 | 14 | 19 | 30 | 17 | 15 | 18 | 13 |
N.S. |
1 | 1.81 | 0.67 | 0.90 | 1.43 | 0.81 | 0.71 | 0.86 | 0.62 |
time (sec) |
N/A | 0.215 | 0.094 | 0.234 | 0.201 | 0.259 | 0.049 | 0.266 | 0.077 |
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 | 6 | 3 | 3 | 4 | 3 | 3 | 2 | 3 | 3 |
N.S. |
1 | 0.50 | 0.50 | 0.67 | 0.50 | 0.50 | 0.33 | 0.50 | 0.50 |
time (sec) |
N/A | 0.114 | 0.000 | 0.004 | 0.180 | 0.274 | 0.021 | 0.282 | 0.016 |
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 | 32 | 35 | 63 | 32 | 29 | 65 | 65 |
N.S. |
1 | 0.00 | 1.00 | 1.09 | 1.97 | 1.00 | 0.91 | 2.03 | 2.03 |
time (sec) |
N/A | 0.000 | 0.910 | 4.759 | 0.315 | 0.254 | 0.260 | 0.288 | 11.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 22 | 20 | 23 | 46 | 56 | 27 | 55 | 22 |
N.S. |
1 | 0.88 | 0.80 | 0.92 | 1.84 | 2.24 | 1.08 | 2.20 | 0.88 |
time (sec) |
N/A | 0.619 | 0.278 | 0.490 | 0.234 | 0.257 | 0.068 | 0.285 | 11.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | A | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 59 | 28 | 57 | 67 | 20 | 71 | 30 |
N.S. |
1 | 0.00 | 2.46 | 1.17 | 2.38 | 2.79 | 0.83 | 2.96 | 1.25 |
time (sec) |
N/A | 0.000 | 1.078 | 0.195 | 0.217 | 0.256 | 0.074 | 0.276 | 0.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 104 | 22 | 19 | 30 | 30 | 27 | 0 | 32 |
N.S. |
1 | 3.59 | 0.76 | 0.66 | 1.03 | 1.03 | 0.93 | 0.00 | 1.10 |
time (sec) |
N/A | 0.567 | 0.316 | 0.166 | 0.271 | 0.251 | 0.118 | 0.000 | 11.549 |
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 | 25 | 12 | 17 | 16 | 16 | 27 | 16 | 12 |
N.S. |
1 | 1.56 | 0.75 | 1.06 | 1.00 | 1.00 | 1.69 | 1.00 | 0.75 |
time (sec) |
N/A | 0.333 | 0.039 | 0.352 | 0.218 | 0.259 | 0.223 | 0.268 | 11.171 |
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 | 18 | 48 | 25 | 29 | 23 | 23 | 27 | 29 | 36 |
N.S. |
1 | 2.67 | 1.39 | 1.61 | 1.28 | 1.28 | 1.50 | 1.61 | 2.00 |
time (sec) |
N/A | 0.206 | 0.121 | 0.060 | 0.182 | 0.269 | 0.058 | 0.254 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | A | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 207 | 128 | 49 | 46 | 46 | 126 | 0 | 22 |
N.S. |
1 | 6.68 | 4.13 | 1.58 | 1.48 | 1.48 | 4.06 | 0.00 | 0.71 |
time (sec) |
N/A | 1.796 | 0.162 | 0.324 | 0.266 | 0.259 | 0.406 | 0.000 | 0.485 |
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 | 11 | 11 | 11 | 10 | 10 | 8 | 10 | 11 |
N.S. |
1 | 0.48 | 0.48 | 0.48 | 0.43 | 0.43 | 0.35 | 0.43 | 0.48 |
time (sec) |
N/A | 0.137 | 0.018 | 0.046 | 0.177 | 0.266 | 0.035 | 0.251 | 0.056 |
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 | 26 | 31 | 45 | 27 | 26 | 26 | 26 | 209 | 25 |
N.S. |
1 | 1.19 | 1.73 | 1.04 | 1.00 | 1.00 | 1.00 | 8.04 | 0.96 |
time (sec) |
N/A | 0.195 | 0.024 | 0.231 | 0.185 | 0.247 | 0.091 | 0.262 | 11.099 |
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 | 28 | 29 | 24 | 23 | 23 | 26 | 23 | 20 |
N.S. |
1 | 1.08 | 1.12 | 0.92 | 0.88 | 0.88 | 1.00 | 0.88 | 0.77 |
time (sec) |
N/A | 0.183 | 0.027 | 0.074 | 0.183 | 0.253 | 0.056 | 0.253 | 10.645 |
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 | 16 | 16 | 15 | 16 | 16 | 12 | 16 | 14 |
N.S. |
1 | 0.80 | 0.80 | 0.75 | 0.80 | 0.80 | 0.60 | 0.80 | 0.70 |
time (sec) |
N/A | 0.137 | 0.000 | 0.078 | 0.182 | 0.247 | 0.020 | 0.264 | 0.031 |
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 | 32 | 30 | 44 | 44 | 24 | 44 | 29 |
N.S. |
1 | 0.00 | 1.14 | 1.07 | 1.57 | 1.57 | 0.86 | 1.57 | 1.04 |
time (sec) |
N/A | 0.000 | 10.077 | 0.204 | 0.228 | 0.261 | 0.097 | 0.313 | 10.688 |
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 | 31 | 16 | 16 | 23 | 13 | 19 | 15 | 19 |
N.S. |
1 | 1.94 | 1.00 | 1.00 | 1.44 | 0.81 | 1.19 | 0.94 | 1.19 |
time (sec) |
N/A | 0.187 | 0.026 | 0.058 | 0.182 | 0.249 | 0.055 | 0.260 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | F(-2) | B | F(-2) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 146 | 62 | 65 | 0 | 57 | 0 | 95 | 78 |
N.S. |
1 | 4.71 | 2.00 | 2.10 | 0.00 | 1.84 | 0.00 | 3.06 | 2.52 |
time (sec) |
N/A | 3.976 | 0.457 | 38.766 | 0.000 | 0.262 | 0.000 | 0.592 | 11.217 |
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 | 19 | 22 | 21 | 21 | 19 | 21 | 1429 |
N.S. |
1 | 0.00 | 0.83 | 0.96 | 0.91 | 0.91 | 0.83 | 0.91 | 62.13 |
time (sec) |
N/A | 0.000 | 0.048 | 0.124 | 0.181 | 0.247 | 1.114 | 0.309 | 23.648 |
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 | 20 | 0 | 21 | 19 | 24 | 22 | 17 | 19 | 22 |
N.S. |
1 | 0.00 | 1.05 | 0.95 | 1.20 | 1.10 | 0.85 | 0.95 | 1.10 |
time (sec) |
N/A | 0.000 | 0.200 | 0.661 | 0.211 | 0.249 | 0.107 | 0.259 | 12.226 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 31 | 29 | 23 | 19 | 70 | 24 | 70 | 21 |
N.S. |
1 | 1.15 | 1.07 | 0.85 | 0.70 | 2.59 | 0.89 | 2.59 | 0.78 |
time (sec) |
N/A | 0.268 | 0.136 | 0.072 | 0.179 | 0.253 | 0.101 | 0.263 | 12.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 0 | 47 | 388 | 947 | 281 | 63 | 0 | 361 |
N.S. |
1 | 0.00 | 1.42 | 11.76 | 28.70 | 8.52 | 1.91 | 0.00 | 10.94 |
time (sec) |
N/A | 0.000 | 0.405 | 13.209 | 5.227 | 0.290 | 4.524 | 0.000 | 14.576 |
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 | 33 | 22 | 20 | 19 | 26 | 19 | 19 | 19 |
N.S. |
1 | 1.22 | 0.81 | 0.74 | 0.70 | 0.96 | 0.70 | 0.70 | 0.70 |
time (sec) |
N/A | 0.277 | 0.015 | 0.713 | 0.210 | 0.257 | 0.055 | 0.264 | 12.258 |
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 | 24 | 49 | 21 | 23 | 19 | 20 | 22 | 21 | 21 |
N.S. |
1 | 2.04 | 0.88 | 0.96 | 0.79 | 0.83 | 0.92 | 0.88 | 0.88 |
time (sec) |
N/A | 0.765 | 0.279 | 1.274 | 0.243 | 0.261 | 3.064 | 0.266 | 13.114 |
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 | 17 | 17 | 15 | 19 | 17 | 19 | 15 |
N.S. |
1 | 0.00 | 0.94 | 0.94 | 0.83 | 1.06 | 0.94 | 1.06 | 0.83 |
time (sec) |
N/A | 0.000 | 0.203 | 0.153 | 0.265 | 0.250 | 0.254 | 0.278 | 12.466 |
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 | 26 | 33 | 30 | 40 | 36 | 25 | 34 |
N.S. |
1 | 0.00 | 1.00 | 1.27 | 1.15 | 1.54 | 1.38 | 0.96 | 1.31 |
time (sec) |
N/A | 0.000 | 0.242 | 6.861 | 0.221 | 0.255 | 0.203 | 0.328 | 12.718 |
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 | 22 | 0 | 20 | 23 | 45 | 45 | 14 | 51 | 22 |
N.S. |
1 | 0.00 | 0.91 | 1.05 | 2.05 | 2.05 | 0.64 | 2.32 | 1.00 |
time (sec) |
N/A | 0.000 | 2.747 | 0.130 | 0.248 | 0.263 | 0.082 | 0.267 | 12.596 |
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 | 22 | 0 | 22 | 32 | 21 | 21 | 17 | 42 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.45 | 0.95 | 0.95 | 0.77 | 1.91 | 0.00 |
time (sec) |
N/A | 0.000 | 5.089 | 17.496 | 0.311 | 0.249 | 0.458 | 0.298 | 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 | 21 | 29 | 27 | 20 | 33 | 27 | 27 | 27 | 19 |
N.S. |
1 | 1.38 | 1.29 | 0.95 | 1.57 | 1.29 | 1.29 | 1.29 | 0.90 |
time (sec) |
N/A | 0.791 | 0.180 | 1.253 | 0.297 | 0.252 | 0.066 | 0.279 | 11.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | B | B | B | B | F(-1) |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 0 | 40 | 54 | 78 | 74 | 87 | 449 | 0 |
N.S. |
1 | 0.00 | 1.74 | 2.35 | 3.39 | 3.22 | 3.78 | 19.52 | 0.00 |
time (sec) |
N/A | 0.000 | 4.030 | 0.414 | 0.248 | 0.253 | 0.116 | 0.284 | 0.000 |