Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.
In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 38 | 32 | 25 | 28 | 40 | 22 | 35 | 22 |
N.S. |
1 | 1.19 | 1.00 | 0.78 | 0.88 | 1.25 | 0.69 | 1.09 | 0.69 |
time (sec) |
N/A | 0.171 | 0.006 | 3.931 | 0.197 | 0.280 | 0.054 | 0.288 | 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 | 47 | 56 | 59 | 33 | 37 | 53 | 37 | 37 | 41 |
N.S. |
1 | 1.19 | 1.26 | 0.70 | 0.79 | 1.13 | 0.79 | 0.79 | 0.87 |
time (sec) |
N/A | 0.169 | 0.025 | 3.920 | 0.289 | 0.291 | 0.076 | 0.269 | 5.430 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 111 | 151 | 105 | 35 | 133 | 123 | 95 | 107 | 45 |
N.S. |
1 | 1.36 | 0.95 | 0.32 | 1.20 | 1.11 | 0.86 | 0.96 | 0.41 |
time (sec) |
N/A | 0.330 | 0.057 | 3.923 | 0.283 | 0.295 | 0.184 | 0.296 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 153 | 107 | 37 | 135 | 125 | 97 | 109 | 46 |
N.S. |
1 | 1.35 | 0.95 | 0.33 | 1.19 | 1.11 | 0.86 | 0.96 | 0.41 |
time (sec) |
N/A | 0.335 | 0.046 | 3.943 | 0.289 | 0.294 | 0.187 | 0.300 | 0.130 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 131 | 151 | 105 | 35 | 133 | 125 | 95 | 107 | 44 |
N.S. |
1 | 1.15 | 0.80 | 0.27 | 1.02 | 0.95 | 0.73 | 0.82 | 0.34 |
time (sec) |
N/A | 0.333 | 0.037 | 3.941 | 0.285 | 0.285 | 0.196 | 0.298 | 5.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 140 | 165 | 113 | 46 | 141 | 139 | 110 | 115 | 51 |
N.S. |
1 | 1.18 | 0.81 | 0.33 | 1.01 | 0.99 | 0.79 | 0.82 | 0.36 |
time (sec) |
N/A | 0.359 | 0.052 | 3.956 | 0.290 | 0.291 | 0.213 | 0.300 | 0.123 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | C | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 138 | 101 | 22 | 107 | 85 | 124 | 95 | 45 |
N.S. |
1 | 1.04 | 0.76 | 0.17 | 0.80 | 0.64 | 0.93 | 0.71 | 0.34 |
time (sec) |
N/A | 0.322 | 0.033 | 4.076 | 0.294 | 0.292 | 0.176 | 0.282 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 160 | 37 | 318 | 196 | 32 | 267 | 543 |
N.S. |
1 | 1.00 | 1.93 | 0.45 | 3.83 | 2.36 | 0.39 | 3.22 | 6.54 |
time (sec) |
N/A | 0.223 | 0.049 | 3.985 | 0.295 | 0.290 | 0.184 | 0.279 | 5.694 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 128 | 27 | 179 | 273 | 42 | 219 | 121 |
N.S. |
1 | 1.00 | 1.62 | 0.34 | 2.27 | 3.46 | 0.53 | 2.77 | 1.53 |
time (sec) |
N/A | 0.223 | 0.046 | 3.958 | 0.286 | 0.284 | 0.128 | 0.300 | 0.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 128 | 27 | 179 | 273 | 42 | 219 | 121 |
N.S. |
1 | 1.00 | 1.62 | 0.34 | 2.27 | 3.46 | 0.53 | 2.77 | 1.53 |
time (sec) |
N/A | 0.193 | 0.009 | 3.961 | 0.279 | 0.283 | 0.130 | 0.277 | 0.002 |
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 | 33 | 33 | 33 | 26 | 25 | 91 | 110 | 24 | 32 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.76 | 2.76 | 3.33 | 0.73 | 0.97 |
time (sec) |
N/A | 0.159 | 0.008 | 3.928 | 0.283 | 0.300 | 0.128 | 0.276 | 5.582 |
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 | 33 | 33 | 33 | 26 | 25 | 91 | 110 | 24 | 32 |
N.S. |
1 | 1.00 | 1.00 | 0.79 | 0.76 | 2.76 | 3.33 | 0.73 | 0.97 |
time (sec) |
N/A | 0.154 | 0.004 | 4.023 | 0.274 | 0.268 | 0.120 | 0.287 | 0.003 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 128 | 27 | 179 | 145 | 29 | 219 | 53 |
N.S. |
1 | 1.00 | 1.62 | 0.34 | 2.27 | 1.84 | 0.37 | 2.77 | 0.67 |
time (sec) |
N/A | 0.186 | 0.018 | 3.918 | 0.294 | 0.273 | 0.102 | 0.275 | 0.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 128 | 27 | 179 | 145 | 29 | 219 | 53 |
N.S. |
1 | 1.00 | 1.62 | 0.34 | 2.27 | 1.84 | 0.37 | 2.77 | 0.67 |
time (sec) |
N/A | 0.185 | 0.009 | 3.862 | 0.276 | 0.284 | 0.104 | 0.283 | 0.002 |
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 | 14 | 15 | 14 | 13 | 13 | 12 | 14 | 13 |
N.S. |
1 | 1.00 | 1.07 | 1.00 | 0.93 | 0.93 | 0.86 | 1.00 | 0.93 |
time (sec) |
N/A | 0.134 | 0.004 | 3.902 | 0.192 | 0.280 | 0.074 | 0.282 | 0.038 |
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 | 14 | 15 | 14 | 13 | 13 | 12 | 14 | 13 |
N.S. |
1 | 1.00 | 1.07 | 1.00 | 0.93 | 0.93 | 0.86 | 1.00 | 0.93 |
time (sec) |
N/A | 0.138 | 0.003 | 3.893 | 0.194 | 0.286 | 0.077 | 0.270 | 0.003 |
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 | 21 | 21 | 14 | 13 | 18 | 19 | 13 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.67 | 0.62 | 0.86 | 0.90 | 0.62 | 0.71 |
time (sec) |
N/A | 0.151 | 0.013 | 0.064 | 0.196 | 0.277 | 0.390 | 0.269 | 5.811 |
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 | 21 | 19 | 14 | 13 | 18 | 19 | 13 | 15 |
N.S. |
1 | 1.00 | 0.90 | 0.67 | 0.62 | 0.86 | 0.90 | 0.62 | 0.71 |
time (sec) |
N/A | 0.150 | 0.011 | 0.049 | 0.187 | 0.269 | 0.238 | 0.272 | 0.026 |
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 | 21 | 19 | 14 | 13 | 16 | 19 | 13 | 15 |
N.S. |
1 | 1.00 | 0.90 | 0.67 | 0.62 | 0.76 | 0.90 | 0.62 | 0.71 |
time (sec) |
N/A | 0.150 | 0.011 | 0.047 | 0.200 | 0.279 | 0.363 | 0.303 | 0.027 |
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 | 20 | 14 | 13 | 14 | 17 | 13 | 14 |
N.S. |
1 | 1.00 | 1.05 | 0.74 | 0.68 | 0.74 | 0.89 | 0.68 | 0.74 |
time (sec) |
N/A | 0.155 | 0.012 | 0.046 | 0.196 | 0.289 | 0.136 | 0.266 | 0.030 |
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 | 19 | 14 | 13 | 14 | 17 | 13 | 15 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 0.68 | 0.74 | 0.89 | 0.68 | 0.79 |
time (sec) |
N/A | 0.152 | 0.014 | 0.057 | 0.211 | 0.266 | 0.213 | 0.272 | 0.030 |
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 | 21 | 19 | 14 | 13 | 15 | 19 | 13 | 15 |
N.S. |
1 | 1.00 | 0.90 | 0.67 | 0.62 | 0.71 | 0.90 | 0.62 | 0.71 |
time (sec) |
N/A | 0.149 | 0.015 | 0.061 | 0.189 | 0.271 | 0.237 | 0.270 | 0.028 |
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 | 21 | 19 | 14 | 13 | 15 | 19 | 13 | 15 |
N.S. |
1 | 1.00 | 0.90 | 0.67 | 0.62 | 0.71 | 0.90 | 0.62 | 0.71 |
time (sec) |
N/A | 0.151 | 0.017 | 0.060 | 0.188 | 0.286 | 0.287 | 0.286 | 0.030 |
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 | 36 | 36 | 30 | 25 | 24 | 29 | 34 | 24 | 25 |
N.S. |
1 | 1.00 | 0.83 | 0.69 | 0.67 | 0.81 | 0.94 | 0.67 | 0.69 |
time (sec) |
N/A | 0.168 | 0.018 | 3.990 | 0.189 | 0.278 | 0.880 | 0.299 | 5.586 |
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 | 36 | 36 | 30 | 25 | 24 | 29 | 34 | 24 | 26 |
N.S. |
1 | 1.00 | 0.83 | 0.69 | 0.67 | 0.81 | 0.94 | 0.67 | 0.72 |
time (sec) |
N/A | 0.164 | 0.017 | 3.916 | 0.194 | 0.287 | 0.599 | 0.273 | 0.042 |
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 | 36 | 36 | 30 | 25 | 24 | 27 | 34 | 24 | 26 |
N.S. |
1 | 1.00 | 0.83 | 0.69 | 0.67 | 0.75 | 0.94 | 0.67 | 0.72 |
time (sec) |
N/A | 0.164 | 0.018 | 3.852 | 0.194 | 0.287 | 0.625 | 0.286 | 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 | 34 | 34 | 30 | 25 | 24 | 26 | 32 | 24 | 26 |
N.S. |
1 | 1.00 | 0.88 | 0.74 | 0.71 | 0.76 | 0.94 | 0.71 | 0.76 |
time (sec) |
N/A | 0.160 | 0.015 | 3.943 | 0.191 | 0.286 | 0.384 | 0.276 | 0.038 |
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 | 34 | 30 | 25 | 24 | 26 | 32 | 24 | 25 |
N.S. |
1 | 1.00 | 0.88 | 0.74 | 0.71 | 0.76 | 0.94 | 0.71 | 0.74 |
time (sec) |
N/A | 0.162 | 0.018 | 3.936 | 0.209 | 0.272 | 0.484 | 0.282 | 0.042 |
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 | 36 | 36 | 30 | 25 | 24 | 26 | 34 | 24 | 26 |
N.S. |
1 | 1.00 | 0.83 | 0.69 | 0.67 | 0.72 | 0.94 | 0.67 | 0.72 |
time (sec) |
N/A | 0.158 | 0.019 | 3.924 | 0.196 | 0.302 | 0.532 | 0.293 | 0.038 |
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 | 36 | 36 | 30 | 25 | 24 | 26 | 34 | 24 | 26 |
N.S. |
1 | 1.00 | 0.83 | 0.69 | 0.67 | 0.72 | 0.94 | 0.67 | 0.72 |
time (sec) |
N/A | 0.162 | 0.020 | 4.085 | 0.204 | 0.309 | 0.646 | 0.287 | 0.043 |
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 | 51 | 51 | 47 | 36 | 35 | 40 | 49 | 35 | 35 |
N.S. |
1 | 1.00 | 0.92 | 0.71 | 0.69 | 0.78 | 0.96 | 0.69 | 0.69 |
time (sec) |
N/A | 0.180 | 0.019 | 4.178 | 0.190 | 0.277 | 1.718 | 0.287 | 0.046 |
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 | 51 | 51 | 47 | 36 | 35 | 40 | 49 | 35 | 35 |
N.S. |
1 | 1.00 | 0.92 | 0.71 | 0.69 | 0.78 | 0.96 | 0.69 | 0.69 |
time (sec) |
N/A | 0.177 | 0.019 | 3.949 | 0.208 | 0.282 | 1.257 | 0.275 | 0.049 |
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 | 51 | 51 | 41 | 36 | 35 | 38 | 49 | 35 | 35 |
N.S. |
1 | 1.00 | 0.80 | 0.71 | 0.69 | 0.75 | 0.96 | 0.69 | 0.69 |
time (sec) |
N/A | 0.171 | 0.016 | 3.947 | 0.198 | 0.295 | 1.105 | 0.281 | 0.046 |
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 | 49 | 49 | 41 | 36 | 35 | 37 | 48 | 35 | 35 |
N.S. |
1 | 1.00 | 0.84 | 0.73 | 0.71 | 0.76 | 0.98 | 0.71 | 0.71 |
time (sec) |
N/A | 0.168 | 0.017 | 3.945 | 0.203 | 0.277 | 0.944 | 0.286 | 0.048 |
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 | 49 | 49 | 41 | 36 | 35 | 37 | 48 | 35 | 35 |
N.S. |
1 | 1.00 | 0.84 | 0.73 | 0.71 | 0.76 | 0.98 | 0.71 | 0.71 |
time (sec) |
N/A | 0.170 | 0.027 | 3.960 | 0.194 | 0.281 | 1.072 | 0.280 | 0.048 |
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 | 51 | 51 | 41 | 36 | 35 | 37 | 49 | 35 | 35 |
N.S. |
1 | 1.00 | 0.80 | 0.71 | 0.69 | 0.73 | 0.96 | 0.69 | 0.69 |
time (sec) |
N/A | 0.170 | 0.024 | 3.961 | 0.197 | 0.273 | 1.101 | 0.309 | 0.047 |
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 | 49 | 49 | 41 | 36 | 35 | 37 | 48 | 35 | 35 |
N.S. |
1 | 1.00 | 0.84 | 0.73 | 0.71 | 0.76 | 0.98 | 0.71 | 0.71 |
time (sec) |
N/A | 0.177 | 0.028 | 3.884 | 0.195 | 0.278 | 1.319 | 0.276 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 345 | 268 | 39 | 0 | 314 | 299 | 453 | 126 |
N.S. |
1 | 1.15 | 0.90 | 0.13 | 0.00 | 1.05 | 1.00 | 1.52 | 0.42 |
time (sec) |
N/A | 0.626 | 0.742 | 3.985 | 0.000 | 0.276 | 46.114 | 0.442 | 5.833 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 347 | 266 | 39 | 0 | 250 | 296 | 453 | 126 |
N.S. |
1 | 1.17 | 0.90 | 0.13 | 0.00 | 0.84 | 1.00 | 1.53 | 0.42 |
time (sec) |
N/A | 0.582 | 0.616 | 4.127 | 0.000 | 0.284 | 26.648 | 0.367 | 5.701 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 324 | 237 | 29 | 0 | 288 | 289 | 445 | 118 |
N.S. |
1 | 1.13 | 0.83 | 0.10 | 0.00 | 1.00 | 1.01 | 1.55 | 0.41 |
time (sec) |
N/A | 0.571 | 0.607 | 4.084 | 0.000 | 0.280 | 17.722 | 0.428 | 5.791 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 328 | 239 | 29 | 0 | 304 | 291 | 445 | 118 |
N.S. |
1 | 1.14 | 0.83 | 0.10 | 0.00 | 1.06 | 1.01 | 1.55 | 0.41 |
time (sec) |
N/A | 0.551 | 0.602 | 3.938 | 0.000 | 0.279 | 11.749 | 0.394 | 5.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 328 | 239 | 29 | 0 | 288 | 291 | 445 | 118 |
N.S. |
1 | 1.14 | 0.83 | 0.10 | 0.00 | 1.00 | 1.01 | 1.55 | 0.41 |
time (sec) |
N/A | 0.549 | 0.611 | 3.950 | 0.000 | 0.284 | 8.101 | 0.392 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 287 | 332 | 239 | 29 | 0 | 264 | 289 | 445 | 118 |
N.S. |
1 | 1.16 | 0.83 | 0.10 | 0.00 | 0.92 | 1.01 | 1.55 | 0.41 |
time (sec) |
N/A | 0.554 | 0.583 | 3.941 | 0.000 | 0.279 | 11.199 | 0.343 | 5.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 297 | 339 | 276 | 38 | 0 | 293 | 299 | 461 | 126 |
N.S. |
1 | 1.14 | 0.93 | 0.13 | 0.00 | 0.99 | 1.01 | 1.55 | 0.42 |
time (sec) |
N/A | 0.573 | 0.652 | 4.054 | 0.000 | 0.298 | 18.690 | 0.427 | 5.554 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 299 | 345 | 288 | 38 | 0 | 357 | 303 | 461 | 126 |
N.S. |
1 | 1.15 | 0.96 | 0.13 | 0.00 | 1.19 | 1.01 | 1.54 | 0.42 |
time (sec) |
N/A | 0.601 | 0.708 | 3.964 | 0.000 | 0.279 | 36.025 | 0.420 | 5.691 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 351 | 277 | 47 | 0 | 408 | 0 | 486 | 135 |
N.S. |
1 | 1.14 | 0.90 | 0.15 | 0.00 | 1.32 | 0.00 | 1.58 | 0.44 |
time (sec) |
N/A | 0.567 | 1.086 | 4.048 | 0.000 | 0.285 | 0.000 | 0.450 | 5.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 355 | 277 | 47 | 0 | 424 | 0 | 486 | 135 |
N.S. |
1 | 1.15 | 0.90 | 0.15 | 0.00 | 1.38 | 0.00 | 1.58 | 0.44 |
time (sec) |
N/A | 0.588 | 1.153 | 4.060 | 0.000 | 0.281 | 0.000 | 0.460 | 0.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 355 | 277 | 47 | 0 | 424 | 0 | 486 | 135 |
N.S. |
1 | 1.15 | 0.90 | 0.15 | 0.00 | 1.38 | 0.00 | 1.58 | 0.44 |
time (sec) |
N/A | 0.578 | 1.150 | 3.991 | 0.000 | 0.288 | 0.000 | 0.471 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 359 | 275 | 47 | 0 | 388 | 0 | 486 | 135 |
N.S. |
1 | 1.17 | 0.89 | 0.15 | 0.00 | 1.26 | 0.00 | 1.58 | 0.44 |
time (sec) |
N/A | 0.607 | 1.152 | 4.115 | 0.000 | 0.277 | 0.000 | 0.366 | 5.576 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 351 | 277 | 50 | 0 | 421 | 0 | 462 | 135 |
N.S. |
1 | 1.14 | 0.90 | 0.16 | 0.00 | 1.37 | 0.00 | 1.50 | 0.44 |
time (sec) |
N/A | 0.598 | 1.063 | 4.111 | 0.000 | 0.307 | 0.000 | 0.460 | 0.152 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 355 | 277 | 50 | 0 | 421 | 0 | 462 | 135 |
N.S. |
1 | 1.15 | 0.90 | 0.16 | 0.00 | 1.37 | 0.00 | 1.50 | 0.44 |
time (sec) |
N/A | 0.596 | 1.074 | 3.889 | 0.000 | 0.291 | 0.000 | 0.463 | 5.645 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 355 | 277 | 50 | 0 | 405 | 0 | 462 | 135 |
N.S. |
1 | 1.15 | 0.90 | 0.16 | 0.00 | 1.31 | 0.00 | 1.50 | 0.44 |
time (sec) |
N/A | 0.586 | 1.092 | 3.925 | 0.000 | 0.293 | 0.000 | 0.448 | 0.145 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 308 | 359 | 277 | 50 | 0 | 397 | 0 | 462 | 135 |
N.S. |
1 | 1.17 | 0.90 | 0.16 | 0.00 | 1.29 | 0.00 | 1.50 | 0.44 |
time (sec) |
N/A | 0.593 | 1.040 | 3.965 | 0.000 | 0.275 | 0.000 | 0.368 | 5.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 320 | 368 | 287 | 56 | 0 | 430 | 0 | 481 | 148 |
N.S. |
1 | 1.15 | 0.90 | 0.18 | 0.00 | 1.34 | 0.00 | 1.50 | 0.46 |
time (sec) |
N/A | 0.603 | 1.161 | 4.055 | 0.000 | 0.302 | 0.000 | 0.439 | 5.617 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 388 | 287 | 59 | 0 | 535 | 0 | 496 | 158 |
N.S. |
1 | 1.18 | 0.87 | 0.18 | 0.00 | 1.63 | 0.00 | 1.51 | 0.48 |
time (sec) |
N/A | 0.607 | 1.416 | 4.410 | 0.000 | 0.286 | 0.000 | 0.399 | 5.719 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 380 | 275 | 61 | 0 | 563 | 0 | 499 | 156 |
N.S. |
1 | 1.14 | 0.83 | 0.18 | 0.00 | 1.70 | 0.00 | 1.50 | 0.47 |
time (sec) |
N/A | 0.609 | 1.425 | 4.385 | 0.000 | 0.296 | 0.000 | 0.486 | 5.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 384 | 277 | 61 | 0 | 563 | 0 | 499 | 156 |
N.S. |
1 | 1.16 | 0.83 | 0.18 | 0.00 | 1.70 | 0.00 | 1.50 | 0.47 |
time (sec) |
N/A | 0.615 | 1.415 | 4.398 | 0.000 | 0.300 | 0.000 | 0.481 | 5.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 384 | 277 | 61 | 0 | 561 | 0 | 499 | 156 |
N.S. |
1 | 1.16 | 0.83 | 0.18 | 0.00 | 1.69 | 0.00 | 1.50 | 0.47 |
time (sec) |
N/A | 0.629 | 1.380 | 4.410 | 0.000 | 0.287 | 0.000 | 0.497 | 5.496 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 332 | 388 | 276 | 61 | 0 | 543 | 0 | 498 | 156 |
N.S. |
1 | 1.17 | 0.83 | 0.18 | 0.00 | 1.64 | 0.00 | 1.50 | 0.47 |
time (sec) |
N/A | 0.616 | 1.381 | 4.393 | 0.000 | 0.283 | 0.000 | 0.398 | 5.686 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 380 | 287 | 62 | 0 | 551 | 0 | 472 | 157 |
N.S. |
1 | 1.16 | 0.87 | 0.19 | 0.00 | 1.67 | 0.00 | 1.43 | 0.48 |
time (sec) |
N/A | 0.616 | 0.961 | 4.412 | 0.000 | 0.298 | 0.000 | 0.463 | 5.582 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 384 | 287 | 62 | 0 | 551 | 0 | 472 | 157 |
N.S. |
1 | 1.17 | 0.87 | 0.19 | 0.00 | 1.67 | 0.00 | 1.43 | 0.48 |
time (sec) |
N/A | 0.627 | 0.951 | 3.959 | 0.000 | 0.295 | 0.000 | 0.475 | 0.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 384 | 287 | 62 | 0 | 533 | 0 | 472 | 157 |
N.S. |
1 | 1.17 | 0.87 | 0.19 | 0.00 | 1.62 | 0.00 | 1.43 | 0.48 |
time (sec) |
N/A | 0.626 | 1.008 | 3.916 | 0.000 | 0.284 | 0.000 | 0.458 | 0.154 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 329 | 388 | 287 | 62 | 0 | 524 | 0 | 472 | 157 |
N.S. |
1 | 1.18 | 0.87 | 0.19 | 0.00 | 1.59 | 0.00 | 1.43 | 0.48 |
time (sec) |
N/A | 0.647 | 1.190 | 3.916 | 0.000 | 0.298 | 0.000 | 0.389 | 5.529 |
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 | 59 | 63 | 50 | 36 | 47 | 46 | 87 | 43 | 44 |
N.S. |
1 | 1.07 | 0.85 | 0.61 | 0.80 | 0.78 | 1.47 | 0.73 | 0.75 |
time (sec) |
N/A | 0.193 | 0.032 | 4.503 | 0.207 | 0.276 | 0.383 | 0.279 | 5.660 |
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 | 38 | 42 | 38 | 25 | 30 | 34 | 61 | 29 | 33 |
N.S. |
1 | 1.11 | 1.00 | 0.66 | 0.79 | 0.89 | 1.61 | 0.76 | 0.87 |
time (sec) |
N/A | 0.176 | 0.030 | 4.215 | 0.200 | 0.268 | 0.250 | 0.274 | 5.491 |
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 | 18 | 18 | 18 | 15 | 14 | 14 | 39 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 0.78 | 2.17 | 0.78 | 0.78 |
time (sec) |
N/A | 0.142 | 0.013 | 4.368 | 0.205 | 0.254 | 0.090 | 0.281 | 5.649 |
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 | 43 | 43 | 43 | 32 | 49 | 84 | 66 | 36 | 31 |
N.S. |
1 | 1.00 | 1.00 | 0.74 | 1.14 | 1.95 | 1.53 | 0.84 | 0.72 |
time (sec) |
N/A | 0.188 | 0.040 | 4.289 | 0.270 | 0.301 | 0.763 | 0.274 | 5.591 |
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 | 47 | 47 | 47 | 42 | 53 | 108 | 46 | 46 | 35 |
N.S. |
1 | 1.00 | 1.00 | 0.89 | 1.13 | 2.30 | 0.98 | 0.98 | 0.74 |
time (sec) |
N/A | 0.179 | 0.059 | 4.318 | 0.277 | 0.270 | 1.005 | 0.295 | 5.868 |
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 | 71 | 73 | 62 | 56 | 100 | 133 | 95 | 72 | 54 |
N.S. |
1 | 1.03 | 0.87 | 0.79 | 1.41 | 1.87 | 1.34 | 1.01 | 0.76 |
time (sec) |
N/A | 0.201 | 0.109 | 4.373 | 0.283 | 0.266 | 2.013 | 0.278 | 5.803 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 81 | 64 | 53 | 120 | 127 | 95 | 54 | 0 |
N.S. |
1 | 1.09 | 0.86 | 0.72 | 1.62 | 1.72 | 1.28 | 0.73 | 0.00 |
time (sec) |
N/A | 0.218 | 0.501 | 4.582 | 0.291 | 0.283 | 1.950 | 0.278 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 54 | 51 | 40 | 78 | 102 | 44 | 41 | 0 |
N.S. |
1 | 1.08 | 1.02 | 0.80 | 1.56 | 2.04 | 0.88 | 0.82 | 0.00 |
time (sec) |
N/A | 0.181 | 0.143 | 4.607 | 0.282 | 0.258 | 0.944 | 0.280 | 0.000 |
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 | 49 | 48 | 50 | 39 | 60 | 96 | 66 | 60 | 0 |
N.S. |
1 | 0.98 | 1.02 | 0.80 | 1.22 | 1.96 | 1.35 | 1.22 | 0.00 |
time (sec) |
N/A | 0.177 | 0.144 | 4.597 | 0.294 | 0.283 | 0.815 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 17 | 42 | 63 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 2.00 | 3.00 | 0.81 |
time (sec) |
N/A | 0.146 | 0.131 | 4.680 | 0.201 | 0.286 | 0.467 | 0.309 | 5.758 |
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 | 44 | 44 | 42 | 28 | 35 | 38 | 66 | 120 | 37 |
N.S. |
1 | 1.00 | 0.95 | 0.64 | 0.80 | 0.86 | 1.50 | 2.73 | 0.84 |
time (sec) |
N/A | 0.170 | 0.160 | 4.926 | 0.224 | 0.270 | 0.652 | 0.296 | 5.778 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 74 | 53 | 39 | 52 | 49 | 359 | 148 | 73 |
N.S. |
1 | 1.09 | 0.78 | 0.57 | 0.76 | 0.72 | 5.28 | 2.18 | 1.07 |
time (sec) |
N/A | 0.191 | 0.173 | 5.304 | 0.212 | 0.264 | 0.953 | 0.305 | 6.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 127 | 132 | 62 | 103 | 0 | 57 | 39 | 0 | 0 |
N.S. |
1 | 1.04 | 0.49 | 0.81 | 0.00 | 0.45 | 0.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.216 | 5.372 | 4.297 | 0.000 | 0.083 | 0.486 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 89 | 85 | 0 | 41 | 37 | 0 | 37 |
N.S. |
1 | 1.00 | 0.85 | 0.81 | 0.00 | 0.39 | 0.35 | 0.00 | 0.35 |
time (sec) |
N/A | 0.194 | 3.515 | 4.135 | 0.000 | 0.084 | 0.442 | 0.000 | 5.714 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 51 | 87 | 0 | 44 | 42 | 0 | 0 |
N.S. |
1 | 1.00 | 0.48 | 0.81 | 0.00 | 0.41 | 0.39 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 10.009 | 4.182 | 0.000 | 0.090 | 0.502 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 134 | 51 | 105 | 0 | 60 | 46 | 0 | 0 |
N.S. |
1 | 1.04 | 0.40 | 0.81 | 0.00 | 0.47 | 0.36 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 10.009 | 4.293 | 0.000 | 0.082 | 0.610 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 237 | 51 | 112 | 0 | 88 | 39 | 0 | 0 |
N.S. |
1 | 1.01 | 0.22 | 0.48 | 0.00 | 0.38 | 0.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.319 | 3.933 | 4.201 | 0.000 | 0.093 | 0.467 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 224 | 233 | 49 | 112 | 0 | 0 | 41 | 0 | 39 |
N.S. |
1 | 1.04 | 0.22 | 0.50 | 0.00 | 0.00 | 0.18 | 0.00 | 0.17 |
time (sec) |
N/A | 0.293 | 7.527 | 4.113 | 0.000 | 0.000 | 0.493 | 0.000 | 6.161 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 258 | 262 | 51 | 123 | 0 | 87 | 46 | 0 | 0 |
N.S. |
1 | 1.02 | 0.20 | 0.48 | 0.00 | 0.34 | 0.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.332 | 10.009 | 4.285 | 0.000 | 0.092 | 0.546 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 63 | 39 | 36 | 47 | 57 | 109 | 43 | 53 |
N.S. |
1 | 1.07 | 0.66 | 0.61 | 0.80 | 0.97 | 1.85 | 0.73 | 0.90 |
time (sec) |
N/A | 0.177 | 0.035 | 4.210 | 0.196 | 0.275 | 0.588 | 0.281 | 6.118 |
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 | 38 | 42 | 28 | 25 | 30 | 45 | 83 | 29 | 42 |
N.S. |
1 | 1.11 | 0.74 | 0.66 | 0.79 | 1.18 | 2.18 | 0.76 | 1.11 |
time (sec) |
N/A | 0.175 | 0.029 | 4.228 | 0.211 | 0.257 | 0.372 | 0.279 | 5.965 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 15 | 14 | 32 | 60 | 14 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.83 | 0.78 | 1.78 | 3.33 | 0.78 | 0.78 |
time (sec) |
N/A | 0.138 | 0.022 | 4.193 | 0.192 | 0.253 | 0.161 | 0.261 | 5.984 |
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 | 59 | 61 | 52 | 41 | 61 | 103 | 80 | 50 | 43 |
N.S. |
1 | 1.03 | 0.88 | 0.69 | 1.03 | 1.75 | 1.36 | 0.85 | 0.73 |
time (sec) |
N/A | 0.178 | 0.044 | 4.287 | 0.288 | 0.277 | 1.152 | 0.294 | 5.937 |
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 | 63 | 65 | 57 | 58 | 66 | 121 | 95 | 63 | 48 |
N.S. |
1 | 1.03 | 0.90 | 0.92 | 1.05 | 1.92 | 1.51 | 1.00 | 0.76 |
time (sec) |
N/A | 0.180 | 0.076 | 4.398 | 0.284 | 0.282 | 1.376 | 0.284 | 6.002 |
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 | 68 | 71 | 59 | 57 | 98 | 138 | 75 | 70 | 52 |
N.S. |
1 | 1.04 | 0.87 | 0.84 | 1.44 | 2.03 | 1.10 | 1.03 | 0.76 |
time (sec) |
N/A | 0.182 | 0.099 | 4.279 | 0.273 | 0.280 | 1.679 | 0.280 | 6.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 95 | 105 | 77 | 66 | 160 | 153 | 122 | 126 | 0 |
N.S. |
1 | 1.11 | 0.81 | 0.69 | 1.68 | 1.61 | 1.28 | 1.33 | 0.00 |
time (sec) |
N/A | 0.213 | 0.149 | 4.532 | 0.278 | 0.305 | 3.367 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | A | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 78 | 63 | 52 | 119 | 132 | 73 | 99 | 0 |
N.S. |
1 | 1.10 | 0.89 | 0.73 | 1.68 | 1.86 | 1.03 | 1.39 | 0.00 |
time (sec) |
N/A | 0.180 | 0.133 | 4.444 | 0.285 | 0.304 | 1.519 | 0.311 | 0.000 |
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 | 69 | 74 | 60 | 50 | 94 | 120 | 95 | 78 | 0 |
N.S. |
1 | 1.07 | 0.87 | 0.72 | 1.36 | 1.74 | 1.38 | 1.13 | 0.00 |
time (sec) |
N/A | 0.191 | 0.177 | 4.612 | 0.290 | 0.302 | 1.326 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 69 | 60 | 47 | 75 | 116 | 80 | 122 | 0 |
N.S. |
1 | 1.01 | 0.88 | 0.69 | 1.10 | 1.71 | 1.18 | 1.79 | 0.00 |
time (sec) |
N/A | 0.201 | 0.158 | 4.646 | 0.290 | 0.279 | 1.271 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 35 | 66 | 92 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 1.67 | 3.14 | 4.38 | 0.81 |
time (sec) |
N/A | 0.149 | 0.137 | 4.872 | 0.200 | 0.246 | 0.668 | 0.302 | 6.351 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 31 | 28 | 35 | 49 | 92 | 178 | 71 |
N.S. |
1 | 1.00 | 0.70 | 0.64 | 0.80 | 1.11 | 2.09 | 4.05 | 1.61 |
time (sec) |
N/A | 0.169 | 0.160 | 5.330 | 0.189 | 0.446 | 0.949 | 0.319 | 6.509 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 74 | 42 | 39 | 52 | 60 | 420 | 206 | 91 |
N.S. |
1 | 1.09 | 0.62 | 0.57 | 0.76 | 0.88 | 6.18 | 3.03 | 1.34 |
time (sec) |
N/A | 0.202 | 0.191 | 6.078 | 0.207 | 0.347 | 1.411 | 0.309 | 6.530 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 148 | 156 | 67 | 114 | 0 | 70 | 39 | 0 | 0 |
N.S. |
1 | 1.05 | 0.45 | 0.77 | 0.00 | 0.47 | 0.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.247 | 7.813 | 4.215 | 0.000 | 0.086 | 0.559 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 127 | 47 | 96 | 0 | 51 | 37 | 0 | 37 |
N.S. |
1 | 1.04 | 0.39 | 0.79 | 0.00 | 0.42 | 0.30 | 0.00 | 0.30 |
time (sec) |
N/A | 0.220 | 4.375 | 4.157 | 0.000 | 0.085 | 0.492 | 0.000 | 5.415 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 124 | 127 | 52 | 96 | 0 | 0 | 42 | 0 | 0 |
N.S. |
1 | 1.02 | 0.42 | 0.77 | 0.00 | 0.00 | 0.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.222 | 10.011 | 4.207 | 0.000 | 0.000 | 0.544 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 126 | 131 | 52 | 97 | 0 | 54 | 46 | 0 | 0 |
N.S. |
1 | 1.04 | 0.41 | 0.77 | 0.00 | 0.43 | 0.37 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 10.008 | 4.365 | 0.000 | 0.091 | 0.642 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 261 | 52 | 122 | 0 | 104 | 39 | 0 | 0 |
N.S. |
1 | 1.02 | 0.20 | 0.48 | 0.00 | 0.41 | 0.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.344 | 6.108 | 4.206 | 0.000 | 0.092 | 0.520 | 0.000 | 0.000 |