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 | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 47 | 111 | 91 | 83 | 269 | 46 | 45 |
N.S. |
1 | 1.00 | 0.77 | 1.82 | 1.49 | 1.36 | 4.41 | 0.75 | 0.74 |
time (sec) |
N/A | 0.069 | 0.526 | 9.371 | 0.220 | 0.254 | 25.134 | 0.277 | 0.082 |
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 | 61 | 61 | 47 | 97 | 80 | 46 | 235 | 80 | 46 |
N.S. |
1 | 1.00 | 0.77 | 1.59 | 1.31 | 0.75 | 3.85 | 1.31 | 0.75 |
time (sec) |
N/A | 0.075 | 0.455 | 5.260 | 0.229 | 0.257 | 10.963 | 0.279 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 83 | 69 | 63 | 197 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.80 | 1.50 | 1.37 | 4.28 | 0.78 | 0.78 |
time (sec) |
N/A | 0.067 | 0.244 | 2.862 | 0.203 | 0.258 | 4.740 | 0.272 | 0.082 |
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 | 46 | 46 | 37 | 69 | 58 | 36 | 163 | 58 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.50 | 1.26 | 0.78 | 3.54 | 1.26 | 0.78 |
time (sec) |
N/A | 0.066 | 0.141 | 1.549 | 0.223 | 0.255 | 1.993 | 0.266 | 19.386 |
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 | 31 | 31 | 27 | 55 | 47 | 41 | 126 | 26 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.77 | 1.52 | 1.32 | 4.06 | 0.84 | 0.84 |
time (sec) |
N/A | 0.063 | 0.095 | 0.904 | 0.204 | 0.264 | 0.777 | 0.376 | 0.053 |
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 | 31 | 31 | 27 | 41 | 36 | 26 | 92 | 36 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.32 | 1.16 | 0.84 | 2.97 | 1.16 | 0.84 |
time (sec) |
N/A | 0.065 | 0.062 | 0.542 | 0.197 | 0.248 | 0.362 | 0.302 | 0.058 |
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 | 30 | 30 | 15 | 26 | 26 | 21 | 51 | 13 | 44 |
N.S. |
1 | 1.00 | 0.50 | 0.87 | 0.87 | 0.70 | 1.70 | 0.43 | 1.47 |
time (sec) |
N/A | 0.013 | 0.031 | 0.377 | 0.196 | 0.237 | 0.168 | 0.259 | 19.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 20 | 115 | 28 | 0 | 28 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.43 | 8.21 | 2.00 | 0.00 | 2.00 | 0.86 |
time (sec) |
N/A | 0.023 | 0.005 | 0.385 | 0.306 | 0.251 | 0.000 | 0.262 | 19.326 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 50 | 31 | 236 | 52 | 0 | 52 | 26 |
N.S. |
1 | 1.00 | 1.79 | 1.11 | 8.43 | 1.86 | 0.00 | 1.86 | 0.93 |
time (sec) |
N/A | 0.049 | 0.229 | 0.773 | 0.242 | 0.253 | 0.000 | 0.300 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 29 | 51 | 808 | 85 | 0 | 63 | 48 |
N.S. |
1 | 1.00 | 0.59 | 1.04 | 16.49 | 1.73 | 0.00 | 1.29 | 0.98 |
time (sec) |
N/A | 0.087 | 0.021 | 1.453 | 0.361 | 0.253 | 0.000 | 0.330 | 19.308 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 205 | 71 | 2174 | 112 | 0 | 160 | 60 |
N.S. |
1 | 1.00 | 3.11 | 1.08 | 32.94 | 1.70 | 0.00 | 2.42 | 0.91 |
time (sec) |
N/A | 0.070 | 0.656 | 2.234 | 0.290 | 0.254 | 0.000 | 0.276 | 20.293 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 31 | 87 | 3088 | 140 | 0 | 85 | 79 |
N.S. |
1 | 1.00 | 0.35 | 0.98 | 34.70 | 1.57 | 0.00 | 0.96 | 0.89 |
time (sec) |
N/A | 0.092 | 0.035 | 3.763 | 0.441 | 0.254 | 0.000 | 0.273 | 0.130 |
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 | 44 | 44 | 68 | 74 | 72 | 46 | 593 | 36 | 46 |
N.S. |
1 | 1.00 | 1.55 | 1.68 | 1.64 | 1.05 | 13.48 | 0.82 | 1.05 |
time (sec) |
N/A | 0.082 | 0.376 | 3.017 | 0.235 | 0.257 | 11.201 | 0.266 | 19.376 |
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 | 76 | 76 | 62 | 66 | 65 | 67 | 434 | 68 | 110 |
N.S. |
1 | 1.00 | 0.82 | 0.87 | 0.86 | 0.88 | 5.71 | 0.89 | 1.45 |
time (sec) |
N/A | 0.079 | 0.240 | 1.702 | 0.211 | 0.251 | 4.806 | 0.291 | 21.153 |
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 | 29 | 29 | 48 | 52 | 50 | 36 | 359 | 26 | 33 |
N.S. |
1 | 1.00 | 1.66 | 1.79 | 1.72 | 1.24 | 12.38 | 0.90 | 1.14 |
time (sec) |
N/A | 0.076 | 0.126 | 0.934 | 0.198 | 0.256 | 2.009 | 0.377 | 19.078 |
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 | 49 | 49 | 40 | 42 | 41 | 46 | 231 | 44 | 43 |
N.S. |
1 | 1.00 | 0.82 | 0.86 | 0.84 | 0.94 | 4.71 | 0.90 | 0.88 |
time (sec) |
N/A | 0.068 | 0.066 | 0.525 | 0.219 | 0.256 | 0.828 | 0.292 | 19.373 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 30 | 26 | 24 | 131 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 2.00 | 1.73 | 1.60 | 8.73 | 0.87 | 0.87 |
time (sec) |
N/A | 0.048 | 0.006 | 0.327 | 0.198 | 0.243 | 0.366 | 0.259 | 19.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 13 | 55 | 14 | 0 | 18 | 12 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 3.93 | 1.00 | 0.00 | 1.29 | 0.86 |
time (sec) |
N/A | 0.036 | 0.016 | 0.309 | 0.222 | 0.267 | 0.000 | 0.259 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 12 | 53 | 19 | 0 | 11 | 11 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 4.08 | 1.46 | 0.00 | 0.85 | 0.85 |
time (sec) |
N/A | 0.046 | 0.007 | 1.115 | 0.207 | 0.244 | 0.000 | 0.304 | 20.462 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 43 | 24 | 641 | 56 | 0 | 41 | 35 |
N.S. |
1 | 1.00 | 1.43 | 0.80 | 21.37 | 1.87 | 0.00 | 1.37 | 1.17 |
time (sec) |
N/A | 0.059 | 0.026 | 0.990 | 0.215 | 0.252 | 0.000 | 0.337 | 0.108 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 48 | 46 | 308 | 43 | 0 | 32 | 33 |
N.S. |
1 | 1.00 | 1.14 | 1.10 | 7.33 | 1.02 | 0.00 | 0.76 | 0.79 |
time (sec) |
N/A | 0.076 | 0.336 | 4.834 | 0.228 | 0.244 | 0.000 | 0.285 | 19.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 56 | 62 | 3164 | 112 | 0 | 74 | 74 |
N.S. |
1 | 1.00 | 0.93 | 1.03 | 52.73 | 1.87 | 0.00 | 1.23 | 1.23 |
time (sec) |
N/A | 0.098 | 0.254 | 2.913 | 0.294 | 0.268 | 0.000 | 0.286 | 19.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 37 | 97 | 80 | 73 | 447 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 2.11 | 1.74 | 1.59 | 9.72 | 0.78 | 0.78 |
time (sec) |
N/A | 0.077 | 0.360 | 9.740 | 0.242 | 0.244 | 25.241 | 0.283 | 0.088 |
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 | 61 | 61 | 47 | 71 | 69 | 46 | 366 | 69 | 46 |
N.S. |
1 | 1.00 | 0.77 | 1.16 | 1.13 | 0.75 | 6.00 | 1.13 | 0.75 |
time (sec) |
N/A | 0.079 | 0.207 | 5.657 | 0.230 | 0.260 | 11.110 | 0.299 | 19.421 |
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 | 31 | 31 | 27 | 55 | 47 | 53 | 284 | 26 | 26 |
N.S. |
1 | 1.00 | 0.87 | 1.77 | 1.52 | 1.71 | 9.16 | 0.84 | 0.84 |
time (sec) |
N/A | 0.074 | 0.156 | 2.893 | 0.227 | 0.259 | 4.827 | 0.402 | 0.063 |
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 | 46 | 46 | 37 | 55 | 47 | 36 | 202 | 47 | 36 |
N.S. |
1 | 1.00 | 0.80 | 1.20 | 1.02 | 0.78 | 4.39 | 1.02 | 0.78 |
time (sec) |
N/A | 0.077 | 0.109 | 1.507 | 0.216 | 0.245 | 2.066 | 0.316 | 19.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 41 | 34 | 31 | 117 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 2.73 | 2.27 | 2.07 | 7.80 | 0.87 | 0.87 |
time (sec) |
N/A | 0.043 | 0.009 | 0.762 | 0.217 | 0.241 | 0.788 | 0.262 | 19.228 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 29 | 124 | 36 | 0 | 36 | 23 |
N.S. |
1 | 1.00 | 0.96 | 1.04 | 4.43 | 1.29 | 0.00 | 1.29 | 0.82 |
time (sec) |
N/A | 0.046 | 0.019 | 0.694 | 0.320 | 0.246 | 0.000 | 0.264 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 83 | 13 | 0 | 28 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 6.38 | 1.00 | 0.00 | 2.15 | 1.00 |
time (sec) |
N/A | 0.045 | 0.014 | 1.718 | 0.208 | 0.245 | 0.000 | 0.306 | 0.032 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 38 | 37 | 480 | 61 | 0 | 48 | 36 |
N.S. |
1 | 1.00 | 1.12 | 1.09 | 14.12 | 1.79 | 0.00 | 1.41 | 1.06 |
time (sec) |
N/A | 0.050 | 0.008 | 2.891 | 0.337 | 0.243 | 0.000 | 0.340 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 61 | 41 | 987 | 67 | 0 | 98 | 37 |
N.S. |
1 | 1.00 | 1.42 | 0.95 | 22.95 | 1.56 | 0.00 | 2.28 | 0.86 |
time (sec) |
N/A | 0.062 | 0.140 | 6.727 | 0.243 | 0.244 | 0.000 | 0.295 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 29 | 69 | 1805 | 95 | 0 | 73 | 67 |
N.S. |
1 | 1.00 | 0.41 | 0.99 | 25.79 | 1.36 | 0.00 | 1.04 | 0.96 |
time (sec) |
N/A | 0.094 | 0.042 | 13.984 | 0.391 | 0.275 | 0.000 | 0.278 | 19.512 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 119 | 47 | 91 | 46 | 0 | 270 | 46 |
N.S. |
1 | 1.00 | 1.95 | 0.77 | 1.49 | 0.75 | 0.00 | 4.43 | 0.75 |
time (sec) |
N/A | 0.075 | 0.419 | 19.920 | 0.268 | 0.278 | 0.000 | 0.301 | 20.285 |
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 | 61 | 61 | 61 | 47 | 80 | 73 | 0 | 46 | 45 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 1.31 | 1.20 | 0.00 | 0.75 | 0.74 |
time (sec) |
N/A | 0.080 | 0.044 | 8.563 | 0.235 | 0.247 | 0.000 | 0.275 | 19.971 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 89 | 37 | 69 | 36 | 0 | 204 | 36 |
N.S. |
1 | 1.00 | 1.93 | 0.80 | 1.50 | 0.78 | 0.00 | 4.43 | 0.78 |
time (sec) |
N/A | 0.072 | 0.260 | 6.194 | 0.203 | 0.264 | 0.000 | 0.286 | 0.086 |
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 | 46 | 46 | 46 | 37 | 58 | 53 | 0 | 36 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.80 | 1.26 | 1.15 | 0.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.075 | 0.037 | 2.293 | 0.218 | 0.251 | 0.000 | 0.270 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 59 | 27 | 47 | 26 | 0 | 138 | 26 |
N.S. |
1 | 1.00 | 1.90 | 0.87 | 1.52 | 0.84 | 0.00 | 4.45 | 0.84 |
time (sec) |
N/A | 0.064 | 0.158 | 1.728 | 0.208 | 0.253 | 0.000 | 0.275 | 0.060 |
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 | 31 | 31 | 31 | 27 | 36 | 33 | 0 | 26 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.87 | 1.16 | 1.06 | 0.00 | 0.84 | 0.84 |
time (sec) |
N/A | 0.065 | 0.024 | 0.626 | 0.217 | 0.247 | 0.000 | 0.430 | 0.061 |
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 | 15 | 15 | 15 | 14 | 23 | 13 | 104225 | 52 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.53 | 0.87 | 6948.33 | 3.47 | 0.87 |
time (sec) |
N/A | 0.051 | 0.009 | 0.481 | 0.227 | 0.261 | 93.149 | 0.299 | 0.045 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 23 | 12 | 11 | 11 | 3636 | 11 | 11 |
N.S. |
1 | 1.00 | 2.09 | 1.09 | 1.00 | 1.00 | 330.55 | 1.00 | 1.00 |
time (sec) |
N/A | 0.020 | 0.007 | 0.271 | 0.214 | 0.240 | 11.569 | 0.263 | 0.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 29 | 31 | 233 | 50 | 0 | 38 | 26 |
N.S. |
1 | 1.00 | 1.04 | 1.11 | 8.32 | 1.79 | 0.00 | 1.36 | 0.93 |
time (sec) |
N/A | 0.050 | 0.021 | 0.402 | 0.333 | 0.249 | 0.000 | 0.256 | 19.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 143 | 53 | 974 | 96 | 0 | 137 | 49 |
N.S. |
1 | 1.00 | 2.92 | 1.08 | 19.88 | 1.96 | 0.00 | 2.80 | 1.00 |
time (sec) |
N/A | 0.075 | 0.459 | 0.513 | 0.239 | 0.242 | 0.000 | 0.296 | 19.307 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 31 | 69 | 1780 | 130 | 0 | 72 | 61 |
N.S. |
1 | 1.00 | 0.47 | 1.05 | 26.97 | 1.97 | 0.00 | 1.09 | 0.92 |
time (sec) |
N/A | 0.081 | 0.022 | 0.547 | 0.357 | 0.252 | 0.000 | 0.387 | 19.537 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 268 | 89 | 3846 | 148 | 0 | 206 | 78 |
N.S. |
1 | 1.00 | 3.01 | 1.00 | 43.21 | 1.66 | 0.00 | 2.31 | 0.88 |
time (sec) |
N/A | 0.095 | 0.719 | 0.705 | 0.348 | 0.250 | 0.000 | 0.285 | 19.466 |
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 | 155 | 155 | 85 | 103 | 87 | 87 | 0 | 95 | 149 |
N.S. |
1 | 1.00 | 0.55 | 0.66 | 0.56 | 0.56 | 0.00 | 0.61 | 0.96 |
time (sec) |
N/A | 0.222 | 0.933 | 46.860 | 0.226 | 0.274 | 0.000 | 0.311 | 21.914 |
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 | 44 | 44 | 59 | 47 | 72 | 36 | 0 | 46 | 35 |
N.S. |
1 | 1.00 | 1.34 | 1.07 | 1.64 | 0.82 | 0.00 | 1.05 | 0.80 |
time (sec) |
N/A | 0.083 | 0.050 | 28.895 | 0.219 | 0.248 | 0.000 | 0.279 | 19.910 |
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 | 111 | 111 | 62 | 75 | 65 | 66 | 0 | 75 | 109 |
N.S. |
1 | 1.00 | 0.56 | 0.68 | 0.59 | 0.59 | 0.00 | 0.68 | 0.98 |
time (sec) |
N/A | 0.152 | 0.194 | 15.880 | 0.254 | 0.251 | 0.000 | 0.290 | 22.221 |
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 | 29 | 29 | 48 | 27 | 50 | 26 | 0 | 36 | 25 |
N.S. |
1 | 1.00 | 1.66 | 0.93 | 1.72 | 0.90 | 0.00 | 1.24 | 0.86 |
time (sec) |
N/A | 0.073 | 0.123 | 8.577 | 0.234 | 0.246 | 0.000 | 0.273 | 0.062 |
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 | 60 | 60 | 40 | 45 | 43 | 47 | 0 | 55 | 65 |
N.S. |
1 | 1.00 | 0.67 | 0.75 | 0.72 | 0.78 | 0.00 | 0.92 | 1.08 |
time (sec) |
N/A | 0.102 | 0.094 | 3.555 | 0.208 | 0.248 | 0.000 | 0.278 | 20.042 |
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 | 13 | 13 | 13 | 14 | 26 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 2.00 | 1.00 | 0.00 | 1.00 | 1.00 |
time (sec) |
N/A | 0.055 | 0.009 | 1.533 | 0.213 | 0.249 | 0.000 | 0.438 | 0.051 |
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 | 21 | 21 | 20 | 18 | 18 | 22 | 0 | 29 | 17 |
N.S. |
1 | 1.00 | 0.95 | 0.86 | 0.86 | 1.05 | 0.00 | 1.38 | 0.81 |
time (sec) |
N/A | 0.047 | 0.024 | 0.772 | 0.212 | 0.244 | 0.000 | 0.306 | 19.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 12 | 12 | 25 | 13 | 81 | 14 | 18894 | 13 | 13 |
N.S. |
1 | 1.00 | 2.08 | 1.08 | 6.75 | 1.17 | 1574.50 | 1.08 | 1.08 |
time (sec) |
N/A | 0.027 | 0.009 | 0.588 | 0.208 | 0.240 | 133.805 | 0.266 | 19.667 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 44 | 24 | 656 | 65 | 0 | 37 | 36 |
N.S. |
1 | 1.00 | 1.47 | 0.80 | 21.87 | 2.17 | 0.00 | 1.23 | 1.20 |
time (sec) |
N/A | 0.054 | 0.041 | 0.457 | 0.241 | 0.259 | 0.000 | 0.255 | 19.508 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 48 | 46 | 308 | 54 | 0 | 35 | 37 |
N.S. |
1 | 1.00 | 1.14 | 1.10 | 7.33 | 1.29 | 0.00 | 0.83 | 0.88 |
time (sec) |
N/A | 0.077 | 0.373 | 0.790 | 0.309 | 0.244 | 0.000 | 0.304 | 19.412 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 62 | 3188 | 138 | 0 | 74 | 82 |
N.S. |
1 | 1.00 | 0.90 | 1.03 | 53.13 | 2.30 | 0.00 | 1.23 | 1.37 |
time (sec) |
N/A | 0.087 | 0.372 | 0.689 | 0.293 | 0.253 | 0.000 | 0.328 | 0.208 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 90 | 68 | 1227 | 86 | 0 | 56 | 55 |
N.S. |
1 | 1.00 | 1.25 | 0.94 | 17.04 | 1.19 | 0.00 | 0.78 | 0.76 |
time (sec) |
N/A | 0.089 | 0.236 | 1.094 | 0.247 | 0.254 | 0.000 | 0.294 | 20.868 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 76 | 98 | 7650 | 194 | 0 | 94 | 114 |
N.S. |
1 | 1.00 | 0.84 | 1.09 | 85.00 | 2.16 | 0.00 | 1.04 | 1.27 |
time (sec) |
N/A | 0.102 | 0.434 | 1.165 | 0.483 | 0.261 | 0.000 | 0.274 | 19.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 132 | 90 | 2710 | 118 | 0 | 76 | 83 |
N.S. |
1 | 1.00 | 1.29 | 0.88 | 26.57 | 1.16 | 0.00 | 0.75 | 0.81 |
time (sec) |
N/A | 0.099 | 0.418 | 1.797 | 0.328 | 0.249 | 0.000 | 0.299 | 19.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 119 | 47 | 91 | 46 | 0 | 314 | 46 |
N.S. |
1 | 1.00 | 1.95 | 0.77 | 1.49 | 0.75 | 0.00 | 5.15 | 0.75 |
time (sec) |
N/A | 0.087 | 1.378 | 168.671 | 0.222 | 0.270 | 0.000 | 0.374 | 19.629 |
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 | 76 | 76 | 76 | 57 | 91 | 83 | 0 | 56 | 55 |
N.S. |
1 | 1.00 | 1.00 | 0.75 | 1.20 | 1.09 | 0.00 | 0.74 | 0.72 |
time (sec) |
N/A | 0.094 | 0.108 | 111.372 | 0.217 | 0.263 | 0.000 | 0.338 | 19.547 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 104 | 37 | 80 | 36 | 0 | 248 | 36 |
N.S. |
1 | 1.00 | 2.26 | 0.80 | 1.74 | 0.78 | 0.00 | 5.39 | 0.78 |
time (sec) |
N/A | 0.079 | 0.785 | 68.809 | 0.214 | 0.263 | 0.000 | 0.337 | 19.809 |
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 | 61 | 61 | 61 | 47 | 69 | 63 | 0 | 46 | 45 |
N.S. |
1 | 1.00 | 1.00 | 0.77 | 1.13 | 1.03 | 0.00 | 0.75 | 0.74 |
time (sec) |
N/A | 0.084 | 0.045 | 41.565 | 0.236 | 0.252 | 0.000 | 0.318 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 27 | 27 | 47 | 26 | 0 | 182 | 26 |
N.S. |
1 | 1.00 | 0.87 | 0.87 | 1.52 | 0.84 | 0.00 | 5.87 | 0.84 |
time (sec) |
N/A | 0.070 | 0.143 | 23.729 | 0.229 | 0.242 | 0.000 | 0.309 | 20.307 |
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 | 46 | 46 | 37 | 37 | 47 | 43 | 0 | 36 | 36 |
N.S. |
1 | 1.00 | 0.80 | 0.80 | 1.02 | 0.93 | 0.00 | 0.78 | 0.78 |
time (sec) |
N/A | 0.082 | 0.102 | 12.738 | 0.228 | 0.241 | 0.000 | 0.293 | 0.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 14 | 34 | 13 | 0 | 74 | 13 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 2.27 | 0.87 | 0.00 | 4.93 | 0.87 |
time (sec) |
N/A | 0.053 | 0.008 | 5.188 | 0.214 | 0.251 | 0.000 | 0.297 | 0.047 |
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 | 27 | 28 | 22 | 23 | 21 | 0 | 22 | 24 |
N.S. |
1 | 1.00 | 1.04 | 0.81 | 0.85 | 0.78 | 0.00 | 0.81 | 0.89 |
time (sec) |
N/A | 0.046 | 0.011 | 2.803 | 0.215 | 0.238 | 0.000 | 0.455 | 19.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 44 | 29 | 92 | 38 | 0 | 54 | 22 |
N.S. |
1 | 1.00 | 1.83 | 1.21 | 3.83 | 1.58 | 0.00 | 2.25 | 0.92 |
time (sec) |
N/A | 0.053 | 0.049 | 2.026 | 0.220 | 0.244 | 0.000 | 0.316 | 21.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 11 | 11 | 11 | 14 | 84 | 13 | 0 | 13 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.27 | 7.64 | 1.18 | 0.00 | 1.18 | 1.18 |
time (sec) |
N/A | 0.033 | 0.014 | 1.230 | 0.199 | 0.234 | 0.000 | 0.267 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 31 | 41 | 834 | 94 | 0 | 52 | 38 |
N.S. |
1 | 1.00 | 0.72 | 0.95 | 19.40 | 2.19 | 0.00 | 1.21 | 0.88 |
time (sec) |
N/A | 0.062 | 0.025 | 0.560 | 0.332 | 0.252 | 0.000 | 0.264 | 19.907 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 129 | 71 | 2237 | 132 | 0 | 160 | 66 |
N.S. |
1 | 1.00 | 1.84 | 1.01 | 31.96 | 1.89 | 0.00 | 2.29 | 0.94 |
time (sec) |
N/A | 0.091 | 4.630 | 0.684 | 0.252 | 0.253 | 0.000 | 0.319 | 0.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 31 | 87 | 3095 | 166 | 0 | 82 | 71 |
N.S. |
1 | 1.00 | 0.38 | 1.07 | 38.21 | 2.05 | 0.00 | 1.01 | 0.88 |
time (sec) |
N/A | 0.090 | 0.043 | 0.866 | 0.428 | 0.269 | 0.000 | 0.350 | 19.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 278 | 107 | 4268 | 194 | 0 | 268 | 100 |
N.S. |
1 | 1.00 | 2.48 | 0.96 | 38.11 | 1.73 | 0.00 | 2.39 | 0.89 |
time (sec) |
N/A | 0.107 | 1.154 | 1.192 | 0.380 | 0.264 | 0.000 | 0.307 | 19.624 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 183661410 | 0 | 291 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 1350451.54 | 0.00 | 2.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.119 | 0.462 | 76.221 | 0.000 | 0.262 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 86 | 73677072 | 0 | 280 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 669791.56 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.088 | 0.317 | 24.149 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 72 | 6800166 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 80954.36 | 0.00 | 3.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.054 | 0.178 | 3.391 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 50 | 18281230 | 0 | 240 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 315193.62 | 0.00 | 4.14 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.025 | 0.150 | 3.743 | 0.000 | 0.256 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 22 | 65687946 | 0 | 39 | 0 | 2029 | 34 |
N.S. |
1 | 1.00 | 0.96 | 2855997.65 | 0.00 | 1.70 | 0.00 | 88.22 | 1.48 |
time (sec) |
N/A | 0.023 | 0.019 | 12.355 | 0.000 | 0.266 | 0.000 | 14.018 | 19.947 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 43 | 597 | 0 | 69 | 0 | 7875 | 108 |
N.S. |
1 | 1.00 | 0.81 | 11.26 | 0.00 | 1.30 | 0.00 | 148.58 | 2.04 |
time (sec) |
N/A | 0.051 | 0.305 | 27.099 | 0.000 | 0.272 | 0.000 | 52.847 | 24.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 52 | 308 | 0 | 88 | 0 | 18022 | 131 |
N.S. |
1 | 1.00 | 0.66 | 3.90 | 0.00 | 1.11 | 0.00 | 228.13 | 1.66 |
time (sec) |
N/A | 0.075 | 0.444 | 247.658 | 0.000 | 0.264 | 0.000 | 181.626 | 24.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 105 | 105 | 67 | 0 | 0 | 113 | 0 | 0 | 351 |
N.S. |
1 | 1.00 | 0.64 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 3.34 |
time (sec) |
N/A | 0.103 | 0.500 | 0.000 | 0.000 | 0.273 | 0.000 | 0.000 | 24.963 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 96 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.081 | 3.589 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 66 | 312731247 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.96 | 4532336.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.058 | 0.421 | 176.980 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 76 | 185748620 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 2692008.99 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.060 | 0.464 | 65.320 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 34 | 17183759 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.85 | 429593.98 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 0.236 | 7.405 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | F | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 75 | 61245868 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.88 | 1531146.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.051 | 0.383 | 14.818 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 41 | 108031867 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 2400708.16 | 0.00 | 3.47 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.046 | 0.267 | 26.139 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 83 | 123 | 0 | 94 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.73 | 2.56 | 0.00 | 1.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.045 | 0.412 | 28.151 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 66 | 227 | 0 | 212 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 2.95 | 0.00 | 2.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.068 | 1.177 | 58.819 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 404845695 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 2976806.58 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.132 | 0.536 | 95.121 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 86 | 57690707 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 524460.97 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.104 | 0.365 | 16.218 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F(-1) | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 74 | 202764172 | 0 | 268 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.88 | 2413859.19 | 0.00 | 3.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.290 | 39.736 | 0.000 | 0.267 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 72 | 178923370 | 0 | 296 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.89 | 2208930.49 | 0.00 | 3.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.095 | 0.265 | 28.412 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 27 | 727 | 0 | 48 | 0 | 15648 | 85 |
N.S. |
1 | 1.00 | 0.96 | 25.96 | 0.00 | 1.71 | 0.00 | 558.86 | 3.04 |
time (sec) |
N/A | 0.037 | 0.262 | 83.161 | 0.000 | 0.255 | 0.000 | 102.081 | 22.201 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 35 | 4684 | 0 | 55 | 0 | 0 | 88 |
N.S. |
1 | 1.00 | 0.64 | 85.16 | 0.00 | 1.00 | 0.00 | 0.00 | 1.60 |
time (sec) |
N/A | 0.060 | 0.422 | 183.395 | 0.000 | 0.243 | 0.000 | 0.000 | 25.137 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 55 | 0 | 0 | 79 | 0 | 0 | 300 |
N.S. |
1 | 1.00 | 0.68 | 0.00 | 0.00 | 0.98 | 0.00 | 0.00 | 3.70 |
time (sec) |
N/A | 0.090 | 0.509 | 0.000 | 0.000 | 0.254 | 0.000 | 0.000 | 24.635 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F(-1) | F | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 62 | 0 | 0 | 98 | 0 | 0 | 383 |
N.S. |
1 | 1.00 | 0.58 | 0.00 | 0.00 | 0.92 | 0.00 | 0.00 | 3.58 |
time (sec) |
N/A | 0.132 | 0.878 | 0.000 | 0.000 | 0.277 | 0.000 | 0.000 | 25.910 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 973 | 0 | 290 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 7.15 | 0.00 | 2.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 0.567 | 7.124 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 86 | 26835015 | 0 | 281 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 243954.68 | 0.00 | 2.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.135 | 0.330 | 12.119 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 81 | 81 | 70 | 5540414 | 0 | 266 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 68400.17 | 0.00 | 3.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.091 | 0.201 | 4.736 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | B | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 53 | 52 | 157 | 0 | 242 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.98 | 2.96 | 0.00 | 4.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.066 | 0.130 | 2.643 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |