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 | B | B | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 29 | 34 | 45 | 40 | 31 | 0 | 33 |
N.S. |
1 | 0.00 | 1.38 | 1.62 | 2.14 | 1.90 | 1.48 | 0.00 | 1.57 |
time (sec) |
N/A | 0.000 | 1.097 | 0.166 | 0.222 | 0.280 | 0.214 | 0.000 | 9.709 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 26 | 22 | 24 | 40 | 34 | 20 | 52 | 20 |
N.S. |
1 | 1.18 | 1.00 | 1.09 | 1.82 | 1.55 | 0.91 | 2.36 | 0.91 |
time (sec) |
N/A | 0.387 | 0.061 | 0.161 | 0.223 | 0.241 | 0.066 | 0.272 | 9.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 17 | 17 | 19 | 17 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.13 | 1.13 | 1.27 | 1.13 | 0.73 |
time (sec) |
N/A | 0.129 | 0.000 | 0.038 | 0.196 | 0.231 | 0.021 | 0.258 | 0.057 |
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 | 23 | 24 | 20 | 17 | 53 | 16 | 15 | 39 | 16 |
N.S. |
1 | 1.04 | 0.87 | 0.74 | 2.30 | 0.70 | 0.65 | 1.70 | 0.70 |
time (sec) |
N/A | 0.689 | 0.095 | 8.388 | 0.244 | 0.243 | 0.725 | 0.265 | 10.275 |
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 | 16 | 0 | 26 | 16 | 23 | 15 | 14 | 19 | 16 |
N.S. |
1 | 0.00 | 1.62 | 1.00 | 1.44 | 0.94 | 0.88 | 1.19 | 1.00 |
time (sec) |
N/A | 0.000 | 1.021 | 0.256 | 0.258 | 0.245 | 0.080 | 0.263 | 0.250 |
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 | 14 | 13 | 13 | 10 | 13 | 13 |
N.S. |
1 | 0.88 | 0.88 | 0.82 | 0.76 | 0.76 | 0.59 | 0.76 | 0.76 |
time (sec) |
N/A | 0.405 | 0.022 | 0.520 | 0.224 | 0.229 | 0.057 | 0.254 | 9.826 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | B | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 24 | 24 | 2123 | 47 | 46 | 21 | 21 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 88.46 | 1.96 | 1.92 | 0.88 | 0.88 |
time (sec) |
N/A | 0.000 | 0.217 | 0.285 | 0.618 | 0.265 | 0.689 | 0.259 | 9.678 |
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 | 19 | 19 | 19 | 18 | 22 | 14 | 22 | 23 |
N.S. |
1 | 0.86 | 0.86 | 0.86 | 0.82 | 1.00 | 0.64 | 1.00 | 1.05 |
time (sec) |
N/A | 0.327 | 0.076 | 0.897 | 0.305 | 0.250 | 0.061 | 0.263 | 9.443 |
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 | 16 | 16 | 14 | 15 | 15 | 15 | 15 | 13 |
N.S. |
1 | 0.70 | 0.70 | 0.61 | 0.65 | 0.65 | 0.65 | 0.65 | 0.57 |
time (sec) |
N/A | 0.202 | 0.030 | 0.068 | 0.191 | 0.236 | 0.072 | 0.253 | 9.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 51 | 23 | 50 | 55 | 43 | 48 | 49 | 49 |
N.S. |
1 | 2.83 | 1.28 | 2.78 | 3.06 | 2.39 | 2.67 | 2.72 | 2.72 |
time (sec) |
N/A | 0.395 | 0.061 | 0.079 | 0.228 | 0.244 | 0.153 | 0.265 | 9.284 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | B | F | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 19 | 104 | 0 | 112 | 112 | 0 | 23 |
N.S. |
1 | 0.00 | 1.00 | 5.47 | 0.00 | 5.89 | 5.89 | 0.00 | 1.21 |
time (sec) |
N/A | 0.000 | 5.129 | 0.332 | 0.000 | 0.238 | 0.290 | 0.000 | 9.980 |
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 | 23 | 22 | 25 | 30 | 19 | 51 | 21 |
N.S. |
1 | 0.00 | 0.92 | 0.88 | 1.00 | 1.20 | 0.76 | 2.04 | 0.84 |
time (sec) |
N/A | 0.000 | 1.031 | 0.092 | 0.226 | 0.249 | 0.058 | 0.260 | 0.118 |
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 | 27 | 27 | 24 | 20 | 20 | 20 | 20 | 20 |
N.S. |
1 | 1.04 | 1.04 | 0.92 | 0.77 | 0.77 | 0.77 | 0.77 | 0.77 |
time (sec) |
N/A | 0.158 | 0.010 | 0.077 | 0.188 | 0.235 | 0.020 | 0.255 | 9.241 |
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 | 30 | 35 | 35 | 34 | 31 | 34 | 35 |
N.S. |
1 | 0.00 | 1.20 | 1.40 | 1.40 | 1.36 | 1.24 | 1.36 | 1.40 |
time (sec) |
N/A | 0.000 | 0.118 | 0.349 | 0.338 | 0.247 | 0.117 | 0.305 | 13.779 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 20 | 16 | 15 | 15 | 15 | 15 | 15 |
N.S. |
1 | 1.00 | 0.80 | 0.64 | 0.60 | 0.60 | 0.60 | 0.60 | 0.60 |
time (sec) |
N/A | 0.164 | 0.036 | 0.033 | 0.203 | 0.254 | 0.334 | 0.263 | 8.727 |
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 | 7 | 8 | 9 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.89 | 0.89 | 0.78 | 0.89 | 1.00 |
time (sec) |
N/A | 0.158 | 0.016 | 0.065 | 0.203 | 0.250 | 0.040 | 0.255 | 8.495 |
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 | 23 | 24 | 23 | 25 | 19 | 24 | 21 |
N.S. |
1 | 0.00 | 1.00 | 1.04 | 1.00 | 1.09 | 0.83 | 1.04 | 0.91 |
time (sec) |
N/A | 0.000 | 0.681 | 0.718 | 0.232 | 0.245 | 0.163 | 0.301 | 9.126 |
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 | 23 | 0 | 16 | 15 | 17 | 35 | 14 | 70 | 27 |
N.S. |
1 | 0.00 | 0.70 | 0.65 | 0.74 | 1.52 | 0.61 | 3.04 | 1.17 |
time (sec) |
N/A | 0.000 | 0.062 | 0.127 | 0.299 | 0.250 | 0.099 | 0.275 | 9.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F(-2) | A | F(-2) | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 20 | 23 | 0 | 21 | 0 | 37 | 32 |
N.S. |
1 | 0.00 | 1.05 | 1.21 | 0.00 | 1.11 | 0.00 | 1.95 | 1.68 |
time (sec) |
N/A | 0.000 | 3.776 | 4.160 | 0.000 | 0.249 | 0.000 | 0.278 | 8.967 |
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 | 25 | 0 | 31 | 33 | 0 | 27 | 31 | 0 | 31 |
N.S. |
1 | 0.00 | 1.24 | 1.32 | 0.00 | 1.08 | 1.24 | 0.00 | 1.24 |
time (sec) |
N/A | 0.000 | 3.460 | 0.191 | 0.000 | 0.249 | 0.131 | 0.000 | 9.424 |
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 | 35 | 0 | 28 | 26 | 25 | 37 | 22 | 0 | 26 |
N.S. |
1 | 0.00 | 0.80 | 0.74 | 0.71 | 1.06 | 0.63 | 0.00 | 0.74 |
time (sec) |
N/A | 0.000 | 0.250 | 0.723 | 0.239 | 0.245 | 0.253 | 0.000 | 9.619 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | B | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 897 | 445 | 28 | 434 | 43 | 36 | 119 | 35 |
N.S. |
1 | 33.22 | 16.48 | 1.04 | 16.07 | 1.59 | 1.33 | 4.41 | 1.30 |
time (sec) |
N/A | 3.578 | 5.443 | 0.352 | 0.323 | 0.248 | 0.081 | 0.271 | 9.133 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | A | A | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 0 | 174 | 41 | 76 | 44 | 42 | 0 | 47 |
N.S. |
1 | 0.00 | 5.80 | 1.37 | 2.53 | 1.47 | 1.40 | 0.00 | 1.57 |
time (sec) |
N/A | 0.000 | 0.179 | 0.342 | 0.239 | 0.241 | 0.237 | 0.000 | 8.934 |
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 | 27 | 54 | 47 | 45 | 85 | 47 | 39 | 117 | 73 |
N.S. |
1 | 2.00 | 1.74 | 1.67 | 3.15 | 1.74 | 1.44 | 4.33 | 2.70 |
time (sec) |
N/A | 0.464 | 5.123 | 0.146 | 0.448 | 0.248 | 0.111 | 0.410 | 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 | 21 | 29 | 29 | 28 | 28 | 23 | 29 | 29 | 26 |
N.S. |
1 | 1.38 | 1.38 | 1.33 | 1.33 | 1.10 | 1.38 | 1.38 | 1.24 |
time (sec) |
N/A | 0.187 | 0.012 | 0.064 | 0.193 | 0.245 | 0.116 | 0.258 | 0.111 |
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 | 20 | 20 | 20 | 18 | 17 | 32 | 17 | 0 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 0.85 | 1.60 | 0.85 | 0.00 | 0.85 |
time (sec) |
N/A | 0.189 | 0.034 | 0.060 | 0.180 | 0.261 | 0.108 | 0.000 | 8.736 |
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 | 17 | 16 | 24 | 15 | 16 | 16 |
N.S. |
1 | 0.00 | 1.00 | 0.77 | 0.73 | 1.09 | 0.68 | 0.73 | 0.73 |
time (sec) |
N/A | 0.000 | 0.066 | 0.311 | 0.220 | 0.250 | 0.048 | 0.263 | 9.037 |
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 | 9 | 9 | 9 | 8 | 8 | 8 | 8 | 8 |
N.S. |
1 | 0.47 | 0.47 | 0.47 | 0.42 | 0.42 | 0.42 | 0.42 | 0.42 |
time (sec) |
N/A | 0.140 | 0.003 | 0.084 | 0.187 | 0.244 | 0.048 | 0.258 | 0.025 |
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 | 24 | 28 | 24 | 31 | 22 | 28 | 20 |
N.S. |
1 | 0.00 | 1.00 | 1.17 | 1.00 | 1.29 | 0.92 | 1.17 | 0.83 |
time (sec) |
N/A | 0.000 | 0.442 | 0.662 | 0.243 | 0.236 | 0.232 | 0.278 | 9.386 |
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 | 27 | 24 | 23 | 27 | 26 | 26 | 29 | 26 | 28 |
N.S. |
1 | 0.89 | 0.85 | 1.00 | 0.96 | 0.96 | 1.07 | 0.96 | 1.04 |
time (sec) |
N/A | 1.251 | 0.168 | 3.492 | 0.338 | 0.255 | 0.140 | 0.469 | 9.187 |
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 | 24 | 26 | 20 | 19 | 29 | 17 | 29 | 19 |
N.S. |
1 | 0.96 | 1.04 | 0.80 | 0.76 | 1.16 | 0.68 | 1.16 | 0.76 |
time (sec) |
N/A | 0.201 | 0.022 | 0.145 | 0.195 | 0.238 | 0.116 | 0.259 | 9.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | F | A | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 0 | 25 | 34 | 0 | 31 | 31 | 33 | 31 |
N.S. |
1 | 0.00 | 1.14 | 1.55 | 0.00 | 1.41 | 1.41 | 1.50 | 1.41 |
time (sec) |
N/A | 0.000 | 0.188 | 0.641 | 0.000 | 0.237 | 0.165 | 0.267 | 9.480 |
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 | 22 | 22 | 22 | 21 | 21 | 19 | 21 | 21 |
N.S. |
1 | 1.05 | 1.05 | 1.05 | 1.00 | 1.00 | 0.90 | 1.00 | 1.00 |
time (sec) |
N/A | 0.402 | 0.234 | 0.130 | 0.260 | 0.232 | 0.082 | 0.257 | 9.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 214 | 28 | 26 | 36 | 31 | 31 | 66 | 82 |
N.S. |
1 | 6.29 | 0.82 | 0.76 | 1.06 | 0.91 | 0.91 | 1.94 | 2.41 |
time (sec) |
N/A | 0.881 | 0.496 | 0.234 | 0.310 | 0.236 | 0.056 | 0.266 | 0.297 |
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 | 10 | 11 | 9 | 8 | 9 | 9 | 7 | 9 | 7 |
N.S. |
1 | 1.10 | 0.90 | 0.80 | 0.90 | 0.90 | 0.70 | 0.90 | 0.70 |
time (sec) |
N/A | 0.138 | 0.003 | 0.041 | 0.191 | 0.231 | 0.036 | 0.251 | 9.256 |
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 | 30 | 0 | 36 | 29 | 65 | 150 | 37 | 87 | 65 |
N.S. |
1 | 0.00 | 1.20 | 0.97 | 2.17 | 5.00 | 1.23 | 2.90 | 2.17 |
time (sec) |
N/A | 0.000 | 0.329 | 0.311 | 0.322 | 0.251 | 0.080 | 0.269 | 0.398 |
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 | 23 | 23 | 19 | 24 | 20 | 26 | 23 | 20 |
N.S. |
1 | 0.96 | 0.96 | 0.79 | 1.00 | 0.83 | 1.08 | 0.96 | 0.83 |
time (sec) |
N/A | 0.224 | 0.284 | 0.351 | 0.194 | 0.251 | 0.109 | 0.254 | 9.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 49 | 49 | 41 | 55 | 38 | 44 | 46 | 38 |
N.S. |
1 | 1.75 | 1.75 | 1.46 | 1.96 | 1.36 | 1.57 | 1.64 | 1.36 |
time (sec) |
N/A | 0.548 | 0.971 | 0.376 | 0.237 | 0.256 | 0.092 | 0.253 | 9.120 |
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 | 30 | 30 | 29 | 29 | 24 | 48 | 29 |
N.S. |
1 | 0.00 | 1.15 | 1.15 | 1.12 | 1.12 | 0.92 | 1.85 | 1.12 |
time (sec) |
N/A | 0.000 | 0.032 | 0.314 | 0.283 | 0.240 | 0.702 | 0.261 | 9.244 |
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 | 29 | 23 | 23 | 24 | 23 | 34 | 17 | 25 | 21 |
N.S. |
1 | 0.79 | 0.79 | 0.83 | 0.79 | 1.17 | 0.59 | 0.86 | 0.72 |
time (sec) |
N/A | 0.373 | 0.025 | 0.053 | 0.274 | 0.230 | 0.065 | 0.276 | 0.102 |
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 | 37 | 0 | 46 | 27 | 26 | 34 | 24 | 34 | 26 |
N.S. |
1 | 0.00 | 1.24 | 0.73 | 0.70 | 0.92 | 0.65 | 0.92 | 0.70 |
time (sec) |
N/A | 0.000 | 6.392 | 0.160 | 0.231 | 0.252 | 0.105 | 0.254 | 0.206 |
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 | 21 | 21 | 20 | 19 | 19 | 17 | 19 | 19 |
N.S. |
1 | 0.95 | 0.95 | 0.91 | 0.86 | 0.86 | 0.77 | 0.86 | 0.86 |
time (sec) |
N/A | 0.474 | 0.182 | 0.073 | 0.216 | 0.253 | 0.082 | 0.261 | 9.382 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 279 | 92 | 41 | 56 | 56 | 39 | 84 | 33 |
N.S. |
1 | 12.68 | 4.18 | 1.86 | 2.55 | 2.55 | 1.77 | 3.82 | 1.50 |
time (sec) |
N/A | 3.014 | 0.187 | 0.156 | 0.294 | 0.252 | 0.148 | 0.263 | 0.395 |
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 | 22 | 22 | 21 | 20 | 20 | 20 | 27 | 22 |
N.S. |
1 | 0.96 | 0.96 | 0.91 | 0.87 | 0.87 | 0.87 | 1.17 | 0.96 |
time (sec) |
N/A | 0.264 | 0.311 | 0.227 | 0.336 | 0.272 | 0.081 | 0.267 | 8.995 |
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 | 24 | 27 | 19 | 19 | 25 | 20 | 19 | 27 |
N.S. |
1 | 1.26 | 1.42 | 1.00 | 1.00 | 1.32 | 1.05 | 1.00 | 1.42 |
time (sec) |
N/A | 0.391 | 0.046 | 0.350 | 0.185 | 0.266 | 0.074 | 0.261 | 9.075 |
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 | 24 | 22 | 17 | 16 | 16 | 20 | 16 | 16 |
N.S. |
1 | 1.14 | 1.05 | 0.81 | 0.76 | 0.76 | 0.95 | 0.76 | 0.76 |
time (sec) |
N/A | 0.235 | 0.069 | 0.940 | 0.303 | 0.260 | 0.085 | 0.251 | 0.118 |
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 | 16 | 17 | 29 | 16 | 31 | 16 | 16 |
N.S. |
1 | 0.00 | 0.89 | 0.94 | 1.61 | 0.89 | 1.72 | 0.89 | 0.89 |
time (sec) |
N/A | 0.000 | 0.185 | 6.888 | 0.282 | 0.248 | 1.127 | 0.299 | 9.014 |
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 | 29 | 34 | 30 | 34 | 36 | 41 | 35 |
N.S. |
1 | 0.00 | 0.88 | 1.03 | 0.91 | 1.03 | 1.09 | 1.24 | 1.06 |
time (sec) |
N/A | 0.000 | 5.018 | 0.484 | 0.231 | 0.248 | 0.152 | 0.264 | 9.257 |
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 | 24 | 30 | 26 | 19 | 28 | 28 | 49 | 28 | 18 |
N.S. |
1 | 1.25 | 1.08 | 0.79 | 1.17 | 1.17 | 2.04 | 1.17 | 0.75 |
time (sec) |
N/A | 0.154 | 0.002 | 0.102 | 0.190 | 0.266 | 0.025 | 0.252 | 0.053 |
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 | 21 | 36 | 25 | 23 | 38 | 26 | 24 | 33 | 25 |
N.S. |
1 | 1.71 | 1.19 | 1.10 | 1.81 | 1.24 | 1.14 | 1.57 | 1.19 |
time (sec) |
N/A | 0.174 | 0.044 | 0.071 | 0.195 | 0.260 | 0.064 | 0.257 | 0.193 |
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 | 34 | 0 | 39 | 36 | 52 | 61 | 32 | 0 | 45 |
N.S. |
1 | 0.00 | 1.15 | 1.06 | 1.53 | 1.79 | 0.94 | 0.00 | 1.32 |
time (sec) |
N/A | 0.000 | 0.161 | 0.455 | 0.249 | 0.257 | 0.194 | 0.000 | 9.997 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | F(-1) | A | B | B | B | B | F(-1) |
verified |
N/A | N/A | N/A | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 0 | 33 | 216 | 150 | 243 | 239 | 0 |
N.S. |
1 | 0.00 | 0.00 | 1.06 | 6.97 | 4.84 | 7.84 | 7.71 | 0.00 |
time (sec) |
N/A | 0.000 | 0.000 | 2.586 | 0.344 | 0.257 | 0.390 | 0.301 | 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 | 28 | 32 | 32 | 30 | 30 | 34 | 27 | 30 | 27 |
N.S. |
1 | 1.14 | 1.14 | 1.07 | 1.07 | 1.21 | 0.96 | 1.07 | 0.96 |
time (sec) |
N/A | 0.521 | 0.156 | 0.233 | 0.230 | 0.262 | 0.094 | 0.252 | 8.900 |
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 | 30 | 0 | 41 | 20 | 34 | 39 | 22 | 2069 | 23 |
N.S. |
1 | 0.00 | 1.37 | 0.67 | 1.13 | 1.30 | 0.73 | 68.97 | 0.77 |
time (sec) |
N/A | 0.000 | 6.222 | 2.824 | 0.377 | 0.239 | 0.180 | 0.350 | 8.475 |
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 | 25 | 31 | 28 | 34 | 45 | 30 | 32 | 0 | 33 |
N.S. |
1 | 1.24 | 1.12 | 1.36 | 1.80 | 1.20 | 1.28 | 0.00 | 1.32 |
time (sec) |
N/A | 0.769 | 1.695 | 0.531 | 0.384 | 0.240 | 0.535 | 0.000 | 11.340 |
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 | 8 | 8 | 9 | 8 | 8 | 7 | 9 | 8 |
N.S. |
1 | 0.67 | 0.67 | 0.75 | 0.67 | 0.67 | 0.58 | 0.75 | 0.67 |
time (sec) |
N/A | 0.134 | 0.001 | 0.024 | 0.189 | 0.237 | 0.026 | 0.251 | 0.018 |
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 | 19 | 15 | 15 | 12 | 77 | 11 | 15 | 14 | 11 |
N.S. |
1 | 0.79 | 0.79 | 0.63 | 4.05 | 0.58 | 0.79 | 0.74 | 0.58 |
time (sec) |
N/A | 0.476 | 0.179 | 0.217 | 0.329 | 0.244 | 0.070 | 0.257 | 8.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 198 | 60 | 74 | 92 | 89 | 87 | 82 | 65 |
N.S. |
1 | 6.19 | 1.88 | 2.31 | 2.88 | 2.78 | 2.72 | 2.56 | 2.03 |
time (sec) |
N/A | 11.466 | 0.051 | 0.121 | 0.186 | 0.242 | 5.194 | 0.257 | 8.523 |
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 | 28 | 0 | 28 | 42 | 27 | 27 | 34 | 29 | 0 |
N.S. |
1 | 0.00 | 1.00 | 1.50 | 0.96 | 0.96 | 1.21 | 1.04 | 0.00 |
time (sec) |
N/A | 0.000 | 1.704 | 0.194 | 0.345 | 0.260 | 0.115 | 0.301 | 0.000 |
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 | 19 | 56 | 19 | 23 | 30 | 22 | 17 | 35 | 16 |
N.S. |
1 | 2.95 | 1.00 | 1.21 | 1.58 | 1.16 | 0.89 | 1.84 | 0.84 |
time (sec) |
N/A | 0.263 | 0.089 | 0.111 | 0.193 | 0.238 | 0.094 | 0.253 | 8.828 |
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 | 10 | 8 | 8 | 6 | 5 | 5 | 7 | 5 | 5 |
N.S. |
1 | 0.80 | 0.80 | 0.60 | 0.50 | 0.50 | 0.70 | 0.50 | 0.50 |
time (sec) |
N/A | 0.121 | 0.000 | 0.020 | 0.199 | 0.223 | 0.015 | 0.263 | 0.002 |
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 | 24 | 28 | 19 | 22 | 81 | 38 | 17 | 52 | 20 |
N.S. |
1 | 1.17 | 0.79 | 0.92 | 3.38 | 1.58 | 0.71 | 2.17 | 0.83 |
time (sec) |
N/A | 1.121 | 1.054 | 0.471 | 0.232 | 0.251 | 0.073 | 0.261 | 0.115 |
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 | 25 | 129 | 111 | 34 | 113 | 31 | 34 | 36 | 35 |
N.S. |
1 | 5.16 | 4.44 | 1.36 | 4.52 | 1.24 | 1.36 | 1.44 | 1.40 |
time (sec) |
N/A | 0.675 | 0.213 | 0.396 | 0.314 | 0.240 | 0.142 | 0.309 | 0.409 |
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 | 27 | 0 | 25 | 28 | 42 | 42 | 19 | 27 | 0 |
N.S. |
1 | 0.00 | 0.93 | 1.04 | 1.56 | 1.56 | 0.70 | 1.00 | 0.00 |
time (sec) |
N/A | 0.000 | 0.398 | 0.394 | 0.238 | 0.252 | 0.094 | 0.271 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | C | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 21 | 21 | 32 | 82 | 24 | 32 | 48 | 42 |
N.S. |
1 | 0.95 | 0.95 | 1.45 | 3.73 | 1.09 | 1.45 | 2.18 | 1.91 |
time (sec) |
N/A | 0.247 | 0.137 | 0.331 | 0.324 | 0.251 | 0.111 | 0.262 | 9.089 |
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 | 22 | 22 | 21 | 23 | 17 | 18 | 18 |
N.S. |
1 | 0.92 | 0.92 | 0.92 | 0.88 | 0.96 | 0.71 | 0.75 | 0.75 |
time (sec) |
N/A | 0.623 | 0.121 | 0.340 | 0.227 | 0.242 | 0.075 | 0.251 | 9.111 |
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 | 26 | 42 | 22 | 25 | 20 | 91 | 20 | 114 | 36 |
N.S. |
1 | 1.62 | 0.85 | 0.96 | 0.77 | 3.50 | 0.77 | 4.38 | 1.38 |
time (sec) |
N/A | 4.896 | 4.637 | 0.298 | 0.544 | 0.261 | 0.210 | 0.925 | 9.846 |
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 | 30 | 0 | 30 | 26 | 30 | 30 | 26 | 54 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.87 | 1.00 | 1.00 | 0.87 | 1.80 | 0.87 |
time (sec) |
N/A | 0.000 | 0.179 | 17.842 | 0.338 | 0.274 | 0.199 | 0.303 | 9.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | A | B | B | B | F | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 0 | 69 | 52 | 56 | 61 | 58 | 0 | 62 |
N.S. |
1 | 0.00 | 2.38 | 1.79 | 1.93 | 2.10 | 2.00 | 0.00 | 2.14 |
time (sec) |
N/A | 0.000 | 6.967 | 3.322 | 0.252 | 0.254 | 0.285 | 0.000 | 9.464 |
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 | 30 | 0 | 48 | 48 | 0 | 43 | 0 | 0 | 58 |
N.S. |
1 | 0.00 | 1.60 | 1.60 | 0.00 | 1.43 | 0.00 | 0.00 | 1.93 |
time (sec) |
N/A | 0.000 | 0.091 | 22.186 | 0.000 | 0.254 | 0.000 | 0.000 | 9.632 |
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 | 28 | 0 | 25 | 33 | 48 | 33 | 36 | 40 | 0 |
N.S. |
1 | 0.00 | 0.89 | 1.18 | 1.71 | 1.18 | 1.29 | 1.43 | 0.00 |
time (sec) |
N/A | 0.000 | 5.152 | 1.420 | 0.379 | 0.256 | 0.175 | 0.345 | 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 | 23 | 21 | 25 | 30 | 26 | 20 | 26 | 17 |
N.S. |
1 | 0.88 | 0.81 | 0.96 | 1.15 | 1.00 | 0.77 | 1.00 | 0.65 |
time (sec) |
N/A | 0.159 | 0.007 | 0.039 | 0.185 | 0.263 | 0.039 | 0.260 | 0.073 |
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 | 31 | 0 | 20 | 30 | 42 | 36 | 27 | 36 | 17 |
N.S. |
1 | 0.00 | 0.65 | 0.97 | 1.35 | 1.16 | 0.87 | 1.16 | 0.55 |
time (sec) |
N/A | 0.000 | 0.111 | 0.164 | 0.231 | 0.242 | 0.138 | 0.267 | 9.410 |
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 | 19 | 23 | 23 | 19 | 23 | 18 |
N.S. |
1 | 0.00 | 1.00 | 1.06 | 1.28 | 1.28 | 1.06 | 1.28 | 1.00 |
time (sec) |
N/A | 0.000 | 0.232 | 0.779 | 0.246 | 0.256 | 0.099 | 0.338 | 10.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | B | B | B | B | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 0 | 81 | 67 | 68 | 68 | 73 | 85 | 71 |
N.S. |
1 | 0.00 | 3.38 | 2.79 | 2.83 | 2.83 | 3.04 | 3.54 | 2.96 |
time (sec) |
N/A | 0.000 | 0.284 | 0.256 | 0.278 | 0.253 | 0.165 | 0.256 | 0.147 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | A | A | F(-1) | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 0 | 31 | 45 | 35 | 41 | 0 | 44 | 35 |
N.S. |
1 | 0.00 | 1.19 | 1.73 | 1.35 | 1.58 | 0.00 | 1.69 | 1.35 |
time (sec) |
N/A | 0.000 | 0.201 | 0.269 | 0.409 | 0.257 | 0.000 | 0.606 | 12.870 |
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 | 20 | 20 | 21 | 20 | 17 | 20 | 19 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 1.05 | 1.00 | 0.85 | 1.00 | 0.95 |
time (sec) |
N/A | 0.000 | 0.278 | 0.219 | 0.312 | 0.252 | 0.067 | 0.267 | 9.804 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 174 | 113 | 106 | 55 | 55 | 58 | 173 | 57 |
N.S. |
1 | 7.57 | 4.91 | 4.61 | 2.39 | 2.39 | 2.52 | 7.52 | 2.48 |
time (sec) |
N/A | 0.705 | 0.233 | 0.542 | 0.199 | 0.242 | 0.112 | 0.278 | 8.867 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 16 | 0 | 15 | 15 | 0 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 0.00 | 0.83 | 0.83 | 0.00 | 0.83 |
time (sec) |
N/A | 0.313 | 0.070 | 0.164 | 0.000 | 0.245 | 0.080 | 0.000 | 8.684 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | B | A | A | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 0 | 28 | 27 | 71 | 61 | 19 | 27 | 26 |
N.S. |
1 | 0.00 | 0.90 | 0.87 | 2.29 | 1.97 | 0.61 | 0.87 | 0.84 |
time (sec) |
N/A | 0.000 | 0.074 | 1.015 | 0.326 | 0.260 | 0.126 | 0.402 | 9.030 |
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 | 30 | 28 | 25 | 20 | 83 | 34 | 24 | 24 | 22 |
N.S. |
1 | 0.93 | 0.83 | 0.67 | 2.77 | 1.13 | 0.80 | 0.80 | 0.73 |
time (sec) |
N/A | 0.903 | 0.178 | 0.053 | 0.308 | 0.252 | 0.053 | 0.262 | 0.135 |
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 | 31 | 31 | 15 | 31 | 17 |
N.S. |
1 | 0.00 | 1.00 | 1.00 | 1.72 | 1.72 | 0.83 | 1.72 | 0.94 |
time (sec) |
N/A | 0.000 | 0.467 | 0.146 | 0.228 | 0.250 | 0.089 | 0.275 | 8.846 |
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 | 19 | 20 | 18 | 19 | 18 | 18 | 17 | 37 | 113 |
N.S. |
1 | 1.05 | 0.95 | 1.00 | 0.95 | 0.95 | 0.89 | 1.95 | 5.95 |
time (sec) |
N/A | 0.159 | 0.005 | 0.066 | 0.196 | 0.265 | 0.063 | 0.247 | 9.108 |
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 | 24 | 20 | 20 | 21 | 26 | 20 | 17 | 44 | 20 |
N.S. |
1 | 0.83 | 0.83 | 0.88 | 1.08 | 0.83 | 0.71 | 1.83 | 0.83 |
time (sec) |
N/A | 1.179 | 0.123 | 1.540 | 0.312 | 0.244 | 0.130 | 0.299 | 9.287 |
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 | 14 | 16 | 14 | 11 | 20 | 11 | 7 | 11 | 11 |
N.S. |
1 | 1.14 | 1.00 | 0.79 | 1.43 | 0.79 | 0.50 | 0.79 | 0.79 |
time (sec) |
N/A | 0.376 | 0.029 | 0.040 | 0.217 | 0.228 | 0.031 | 0.251 | 8.915 |
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 | 28 | 38 | 47 | 37 | 38 | 37 | 34 | 42 | 37 |
N.S. |
1 | 1.36 | 1.68 | 1.32 | 1.36 | 1.32 | 1.21 | 1.50 | 1.32 |
time (sec) |
N/A | 0.528 | 0.036 | 0.057 | 0.204 | 0.238 | 0.097 | 0.263 | 0.226 |
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 | 34 | 27 | 26 | 24 | 22 | 26 | 24 | 24 |
N.S. |
1 | 1.10 | 0.87 | 0.84 | 0.77 | 0.71 | 0.84 | 0.77 | 0.77 |
time (sec) |
N/A | 0.187 | 0.015 | 0.083 | 0.197 | 0.262 | 0.058 | 0.254 | 9.052 |
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 | 20 | 21 | 20 | 20 | 19 | 20 | 18 |
N.S. |
1 | 1.25 | 1.25 | 1.31 | 1.25 | 1.25 | 1.19 | 1.25 | 1.12 |
time (sec) |
N/A | 0.147 | 0.002 | 0.031 | 0.200 | 0.249 | 0.041 | 0.250 | 9.162 |
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 | 12 | 11 | 11 | 12 | 11 | 13 |
N.S. |
1 | 0.80 | 0.80 | 0.60 | 0.55 | 0.55 | 0.60 | 0.55 | 0.65 |
time (sec) |
N/A | 0.183 | 0.022 | 0.088 | 0.200 | 0.261 | 0.045 | 0.263 | 9.292 |
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 | 22 | 22 | 15 | 15 | 0 | 16 | 15 | 16 | 14 |
N.S. |
1 | 1.00 | 0.68 | 0.68 | 0.00 | 0.73 | 0.68 | 0.73 | 0.64 |
time (sec) |
N/A | 0.262 | 0.016 | 0.221 | 0.000 | 0.249 | 0.062 | 0.252 | 0.102 |
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 | 25 | 23 | 25 | 28 | 20 | 20 | 26 |
N.S. |
1 | 0.00 | 1.00 | 0.92 | 1.00 | 1.12 | 0.80 | 0.80 | 1.04 |
time (sec) |
N/A | 0.000 | 0.198 | 0.105 | 0.224 | 0.258 | 0.104 | 0.266 | 9.658 |
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 | 34 | 202 | 35 | 26 | 93 | 33 | 34 | 33 | 22 |
N.S. |
1 | 5.94 | 1.03 | 0.76 | 2.74 | 0.97 | 1.00 | 0.97 | 0.65 |
time (sec) |
N/A | 0.958 | 0.417 | 0.109 | 0.217 | 0.247 | 0.114 | 0.259 | 0.149 |
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 | 19 | 18 | 18 | 18 | 50 | 19 | 14 | 19 | 17 |
N.S. |
1 | 0.95 | 0.95 | 0.95 | 2.63 | 1.00 | 0.74 | 1.00 | 0.89 |
time (sec) |
N/A | 0.196 | 0.118 | 0.049 | 0.226 | 0.242 | 0.043 | 0.271 | 9.572 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | B | B | B | B | B | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 341 | 149 | 257 | 465 | 247 | 253 | 0 | 255 |
N.S. |
1 | 12.18 | 5.32 | 9.18 | 16.61 | 8.82 | 9.04 | 0.00 | 9.11 |
time (sec) |
N/A | 1.194 | 0.117 | 0.092 | 0.222 | 0.245 | 0.292 | 0.000 | 9.370 |
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 | 33 | 57 | 31 | 27 | 66 | 33 | 32 | 41 | 38 |
N.S. |
1 | 1.73 | 0.94 | 0.82 | 2.00 | 1.00 | 0.97 | 1.24 | 1.15 |
time (sec) |
N/A | 0.780 | 0.082 | 0.069 | 0.227 | 0.242 | 0.083 | 0.250 | 8.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | F | A | A | B | A | B | B | B |
verified |
N/A | N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 0 | 33 | 45 | 95 | 33 | 139 | 254 | 33 |
N.S. |
1 | 0.00 | 1.22 | 1.67 | 3.52 | 1.22 | 5.15 | 9.41 | 1.22 |
time (sec) |
N/A | 0.000 | 0.217 | 3.775 | 0.337 | 0.256 | 0.964 | 0.729 | 10.203 |
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 | 18 | 24 | 22 | 17 | 22 | 19 |
N.S. |
1 | 1.10 | 1.00 | 0.90 | 1.20 | 1.10 | 0.85 | 1.10 | 0.95 |
time (sec) |
N/A | 0.133 | 0.002 | 0.085 | 0.183 | 0.246 | 0.022 | 0.252 | 9.049 |
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 | 26 | 23 | 40 | 25 | 19 | 0 | 33 |
N.S. |
1 | 0.00 | 0.90 | 0.79 | 1.38 | 0.86 | 0.66 | 0.00 | 1.14 |
time (sec) |
N/A | 0.000 | 0.482 | 0.293 | 0.260 | 0.247 | 0.180 | 0.000 | 10.693 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 32 | 18 | 17 | 25 | 16 | 32 | 0 | 16 |
N.S. |
1 | 1.68 | 0.95 | 0.89 | 1.32 | 0.84 | 1.68 | 0.00 | 0.84 |
time (sec) |
N/A | 0.159 | 0.014 | 0.336 | 0.192 | 0.246 | 0.078 | 0.000 | 0.200 |
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 | 31 | 0 | 24 | 45 | 20 | 36 | 36 | 41 | 0 |
N.S. |
1 | 0.00 | 0.77 | 1.45 | 0.65 | 1.16 | 1.16 | 1.32 | 0.00 |
time (sec) |
N/A | 0.000 | 6.109 | 2.839 | 0.247 | 0.253 | 0.164 | 1.894 | 0.000 |