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 | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 35 | 39 | 46 | 53 | 0 | 0 | 40 |
N.S. |
1 | 1.00 | 0.67 | 0.75 | 0.88 | 1.02 | 0.00 | 0.00 | 0.77 |
time (sec) |
N/A | 0.174 | 0.049 | 0.773 | 0.213 | 0.259 | 0.000 | 0.000 | 8.335 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 29 | 14 | 28 | 0 | 0 | 29 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 0.56 | 1.12 | 0.00 | 0.00 | 1.16 |
time (sec) |
N/A | 0.144 | 0.007 | 0.634 | 0.213 | 0.269 | 0.000 | 0.000 | 8.181 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 22 | 17 | 21 | 0 | 14 | 21 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 0.74 | 0.91 | 0.00 | 0.61 | 0.91 |
time (sec) |
N/A | 0.142 | 0.010 | 0.582 | 0.221 | 0.270 | 0.000 | 0.316 | 8.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 83 | 46 | 41 | 38 | 54 | 0 | 52 | 51 |
N.S. |
1 | 1.08 | 0.60 | 0.53 | 0.49 | 0.70 | 0.00 | 0.68 | 0.66 |
time (sec) |
N/A | 0.219 | 0.255 | 0.585 | 0.215 | 0.282 | 0.000 | 0.334 | 8.277 |
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 | 48 | 53 | 48 | 36 | 37 | 46 | 48 | 38 | 51 |
N.S. |
1 | 1.10 | 1.00 | 0.75 | 0.77 | 0.96 | 1.00 | 0.79 | 1.06 |
time (sec) |
N/A | 0.213 | 0.019 | 0.419 | 0.307 | 0.273 | 0.071 | 0.301 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 71 | 39 | 31 | 83 | 13 | 0 | 23 | 59 |
N.S. |
1 | 0.90 | 0.49 | 0.39 | 1.05 | 0.16 | 0.00 | 0.29 | 0.75 |
time (sec) |
N/A | 0.208 | 1.020 | 0.187 | 0.225 | 0.285 | 0.000 | 0.299 | 8.222 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 49 | 39 | 36 | 13 | 13 | 0 | 29 | 0 |
N.S. |
1 | 0.62 | 0.49 | 0.46 | 0.16 | 0.16 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.205 | 1.007 | 4.595 | 0.222 | 0.283 | 0.000 | 0.298 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 49 | 39 | 36 | 13 | 13 | 0 | 29 | 0 |
N.S. |
1 | 0.62 | 0.49 | 0.46 | 0.16 | 0.16 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.197 | 1.011 | 3.115 | 0.222 | 0.274 | 0.000 | 0.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | B | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 88 | 23 | 52 | 13 | 0 | 22 | 33 |
N.S. |
1 | 1.00 | 2.44 | 0.64 | 1.44 | 0.36 | 0.00 | 0.61 | 0.92 |
time (sec) |
N/A | 0.176 | 0.327 | 0.093 | 0.217 | 0.255 | 0.000 | 0.305 | 8.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 49 | 39 | 36 | 13 | 13 | 0 | 29 | 0 |
N.S. |
1 | 0.62 | 0.49 | 0.46 | 0.16 | 0.16 | 0.00 | 0.37 | 0.00 |
time (sec) |
N/A | 0.191 | 1.007 | 1.931 | 0.215 | 0.269 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 50 | 36 | 33 | 10 | 10 | 0 | 20 | 0 |
N.S. |
1 | 0.68 | 0.49 | 0.45 | 0.14 | 0.14 | 0.00 | 0.27 | 0.00 |
time (sec) |
N/A | 0.185 | 0.006 | 1.556 | 0.215 | 0.257 | 0.000 | 0.291 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 75 | 45 | 454 | 26 | 96 | 11 | 0 | 28 | 109 |
N.S. |
1 | 0.60 | 6.05 | 0.35 | 1.28 | 0.15 | 0.00 | 0.37 | 1.45 |
time (sec) |
N/A | 0.195 | 0.692 | 0.062 | 0.210 | 0.256 | 0.000 | 0.304 | 8.371 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 47 | 38 | 36 | 14 | 14 | 0 | 29 | 0 |
N.S. |
1 | 0.61 | 0.49 | 0.47 | 0.18 | 0.18 | 0.00 | 0.38 | 0.00 |
time (sec) |
N/A | 0.196 | 1.010 | 2.390 | 0.215 | 0.254 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 44 | 37 | 34 | 15 | 15 | 0 | 26 | 0 |
N.S. |
1 | 0.59 | 0.50 | 0.46 | 0.20 | 0.20 | 0.00 | 0.35 | 0.00 |
time (sec) |
N/A | 0.193 | 1.007 | 3.159 | 0.220 | 0.255 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 75 | 45 | 178 | 28 | 99 | 17 | 0 | 43 | 112 |
N.S. |
1 | 0.60 | 2.37 | 0.37 | 1.32 | 0.23 | 0.00 | 0.57 | 1.49 |
time (sec) |
N/A | 0.198 | 0.220 | 0.074 | 0.224 | 0.260 | 0.000 | 0.289 | 8.356 |
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 | 77 | 47 | 37 | 34 | 13 | 13 | 0 | 30 | 33 |
N.S. |
1 | 0.61 | 0.48 | 0.44 | 0.17 | 0.17 | 0.00 | 0.39 | 0.43 |
time (sec) |
N/A | 0.201 | 1.012 | 4.524 | 0.214 | 0.253 | 0.000 | 0.293 | 8.230 |
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 | 79 | 49 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 0.62 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.197 | 1.009 | 5.245 | 0.220 | 0.258 | 0.000 | 0.320 | 8.169 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 39 | 37 | 22 | 86 | 13 | 0 | 30 | 33 |
N.S. |
1 | 0.49 | 0.47 | 0.28 | 1.09 | 0.16 | 0.00 | 0.38 | 0.42 |
time (sec) |
N/A | 0.185 | 1.011 | 0.056 | 0.221 | 0.256 | 0.000 | 0.319 | 8.173 |
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 | 79 | 49 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 0.62 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.192 | 1.008 | 7.162 | 0.221 | 0.285 | 0.000 | 0.297 | 8.172 |
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 | 79 | 49 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 0.62 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.197 | 1.010 | 8.955 | 0.219 | 0.248 | 0.000 | 0.296 | 8.271 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 79 | 49 | 39 | 24 | 117 | 15 | 0 | 31 | 35 |
N.S. |
1 | 0.62 | 0.49 | 0.30 | 1.48 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.197 | 1.013 | 0.066 | 0.218 | 0.240 | 0.000 | 0.306 | 8.136 |
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 | 79 | 49 | 39 | 35 | 15 | 15 | 0 | 31 | 35 |
N.S. |
1 | 0.62 | 0.49 | 0.44 | 0.19 | 0.19 | 0.00 | 0.39 | 0.44 |
time (sec) |
N/A | 0.197 | 1.014 | 11.827 | 0.243 | 0.239 | 0.000 | 0.330 | 8.206 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.223 | 1.017 | 8.139 | 0.234 | 0.252 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 119 | 78 | 113 | 42 | 114 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.66 | 0.95 | 0.35 | 0.96 | 0.29 | 0.00 | 0.56 | 0.00 |
time (sec) |
N/A | 0.229 | 0.515 | 0.118 | 0.227 | 0.252 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.222 | 1.015 | 6.202 | 0.218 | 0.264 | 0.000 | 0.288 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.220 | 1.019 | 5.336 | 0.218 | 0.254 | 0.000 | 0.324 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 78 | 73 | 113 | 31 | 83 | 35 | 0 | 45 | 46 |
N.S. |
1 | 0.94 | 1.45 | 0.40 | 1.06 | 0.45 | 0.00 | 0.58 | 0.59 |
time (sec) |
N/A | 0.209 | 0.466 | 0.100 | 0.247 | 0.253 | 0.000 | 0.306 | 8.319 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.211 | 1.015 | 3.764 | 0.231 | 0.248 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.221 | 1.014 | 3.145 | 0.209 | 0.259 | 0.000 | 0.308 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 36 | 38 | 112 | 23 | 52 | 35 | 0 | 44 | 36 |
N.S. |
1 | 1.06 | 3.11 | 0.64 | 1.44 | 0.97 | 0.00 | 1.22 | 1.00 |
time (sec) |
N/A | 0.176 | 0.709 | 0.087 | 0.212 | 0.249 | 0.000 | 0.308 | 8.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 58 | 35 | 35 | 0 | 67 | 0 |
N.S. |
1 | 0.45 | 0.37 | 0.35 | 0.21 | 0.21 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.215 | 1.014 | 1.858 | 0.205 | 0.274 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 78 | 59 | 56 | 32 | 32 | 0 | 64 | 0 |
N.S. |
1 | 0.48 | 0.36 | 0.35 | 0.20 | 0.20 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.220 | 1.012 | 1.524 | 0.206 | 0.261 | 0.000 | 0.302 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 160 | 74 | 60 | 54 | 152 | 32 | 0 | 65 | 0 |
N.S. |
1 | 0.46 | 0.38 | 0.34 | 0.95 | 0.20 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.221 | 1.016 | 0.083 | 0.205 | 0.270 | 0.000 | 0.311 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 73 | 61 | 58 | 37 | 37 | 0 | 67 | 0 |
N.S. |
1 | 0.44 | 0.37 | 0.35 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.218 | 1.014 | 2.433 | 0.220 | 0.266 | 0.000 | 0.329 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 71 | 61 | 58 | 37 | 37 | 0 | 65 | 0 |
N.S. |
1 | 0.44 | 0.37 | 0.36 | 0.23 | 0.23 | 0.00 | 0.40 | 0.00 |
time (sec) |
N/A | 0.220 | 1.016 | 3.132 | 0.202 | 0.261 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 161 | 73 | 62 | 59 | 156 | 38 | 0 | 85 | 0 |
N.S. |
1 | 0.45 | 0.39 | 0.37 | 0.97 | 0.24 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.225 | 1.015 | 0.109 | 0.217 | 0.262 | 0.000 | 0.286 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 73 | 61 | 58 | 37 | 37 | 0 | 69 | 0 |
N.S. |
1 | 0.44 | 0.37 | 0.35 | 0.22 | 0.22 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.221 | 1.013 | 4.434 | 0.212 | 0.240 | 0.000 | 0.300 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 163 | 71 | 61 | 58 | 37 | 37 | 0 | 68 | 0 |
N.S. |
1 | 0.44 | 0.37 | 0.36 | 0.23 | 0.23 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.219 | 1.015 | 5.162 | 0.217 | 0.237 | 0.000 | 0.319 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 162 | 72 | 612 | 59 | 220 | 39 | 0 | 86 | 0 |
N.S. |
1 | 0.44 | 3.78 | 0.36 | 1.36 | 0.24 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.224 | 0.820 | 0.091 | 0.216 | 0.238 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 73 | 61 | 58 | 37 | 37 | 0 | 70 | 0 |
N.S. |
1 | 0.44 | 0.37 | 0.35 | 0.22 | 0.22 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.215 | 1.012 | 7.541 | 0.219 | 0.258 | 0.000 | 0.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 162 | 70 | 61 | 58 | 37 | 37 | 0 | 67 | 0 |
N.S. |
1 | 0.43 | 0.38 | 0.36 | 0.23 | 0.23 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.212 | 1.013 | 8.781 | 0.201 | 0.263 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 161 | 74 | 266 | 52 | 253 | 39 | 0 | 85 | 0 |
N.S. |
1 | 0.46 | 1.65 | 0.32 | 1.57 | 0.24 | 0.00 | 0.53 | 0.00 |
time (sec) |
N/A | 0.222 | 0.309 | 0.089 | 0.223 | 0.263 | 0.000 | 0.408 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 165 | 73 | 61 | 57 | 37 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.44 | 0.37 | 0.35 | 0.22 | 0.22 | 0.00 | 0.42 | 0.92 |
time (sec) |
N/A | 0.219 | 1.012 | 12.025 | 0.216 | 0.258 | 0.000 | 0.318 | 8.227 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 57 | 37 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.45 | 0.37 | 0.34 | 0.22 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.219 | 1.016 | 13.024 | 0.207 | 0.262 | 0.000 | 0.281 | 8.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 59 | 41 | 148 | 35 | 0 | 68 | 151 |
N.S. |
1 | 1.00 | 1.44 | 1.00 | 3.61 | 0.85 | 0.00 | 1.66 | 3.68 |
time (sec) |
N/A | 0.179 | 1.011 | 0.087 | 0.220 | 0.269 | 0.000 | 0.291 | 8.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 57 | 37 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.45 | 0.37 | 0.34 | 0.22 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.219 | 1.013 | 16.682 | 0.209 | 0.257 | 0.000 | 0.330 | 8.163 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 57 | 37 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.45 | 0.37 | 0.34 | 0.22 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.220 | 1.014 | 19.193 | 0.219 | 0.255 | 0.000 | 0.329 | 8.118 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 75 | 61 | 44 | 179 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.89 | 0.73 | 0.52 | 2.13 | 0.44 | 0.00 | 0.82 | 1.80 |
time (sec) |
N/A | 0.200 | 1.012 | 0.097 | 0.210 | 0.261 | 0.000 | 0.394 | 8.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 167 | 75 | 61 | 57 | 37 | 37 | 0 | 69 | 151 |
N.S. |
1 | 0.45 | 0.37 | 0.34 | 0.22 | 0.22 | 0.00 | 0.41 | 0.90 |
time (sec) |
N/A | 0.219 | 1.014 | 24.284 | 0.201 | 0.276 | 0.000 | 0.285 | 8.278 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.246 | 1.023 | 14.543 | 0.206 | 0.281 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.243 | 1.022 | 13.043 | 0.209 | 0.269 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 160 | 107 | 135 | 53 | 145 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.67 | 0.84 | 0.33 | 0.91 | 0.36 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.262 | 0.809 | 0.281 | 0.213 | 0.263 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.244 | 1.021 | 9.722 | 0.203 | 0.263 | 0.000 | 0.283 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.242 | 1.016 | 8.354 | 0.221 | 0.251 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 119 | 88 | 135 | 42 | 114 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.74 | 1.13 | 0.35 | 0.96 | 0.48 | 0.00 | 0.88 | 0.00 |
time (sec) |
N/A | 0.238 | 0.751 | 0.172 | 0.223 | 0.241 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.238 | 1.018 | 6.322 | 0.210 | 0.253 | 0.000 | 0.322 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.241 | 1.016 | 5.226 | 0.203 | 0.243 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 78 | 73 | 135 | 31 | 83 | 57 | 0 | 67 | 0 |
N.S. |
1 | 0.94 | 1.73 | 0.40 | 1.06 | 0.73 | 0.00 | 0.86 | 0.00 |
time (sec) |
N/A | 0.208 | 0.693 | 0.110 | 0.211 | 0.248 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 80 | 57 | 57 | 0 | 105 | 0 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.237 | 1.018 | 3.750 | 0.230 | 0.257 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 98 | 83 | 80 | 56 | 56 | 0 | 104 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.238 | 1.017 | 2.852 | 0.212 | 0.265 | 0.000 | 0.295 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 36 | 38 | 82 | 23 | 52 | 57 | 0 | 66 | 36 |
N.S. |
1 | 1.06 | 2.28 | 0.64 | 1.44 | 1.58 | 0.00 | 1.83 | 1.00 |
time (sec) |
N/A | 0.178 | 1.017 | 0.105 | 0.215 | 0.285 | 0.000 | 0.321 | 8.214 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 98 | 83 | 80 | 56 | 56 | 0 | 104 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.22 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.233 | 1.019 | 1.913 | 0.212 | 0.285 | 0.000 | 0.293 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 101 | 81 | 78 | 53 | 53 | 0 | 101 | 0 |
N.S. |
1 | 0.41 | 0.33 | 0.32 | 0.21 | 0.21 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.246 | 1.014 | 1.470 | 0.192 | 0.255 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 251 | 98 | 82 | 75 | 206 | 55 | 0 | 104 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.30 | 0.82 | 0.22 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.235 | 1.019 | 0.082 | 0.206 | 0.274 | 0.000 | 0.282 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 97 | 83 | 80 | 59 | 59 | 0 | 105 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.246 | 1.018 | 2.378 | 0.202 | 0.289 | 0.000 | 0.306 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 97 | 83 | 80 | 59 | 59 | 0 | 103 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.41 | 0.00 |
time (sec) |
N/A | 0.242 | 1.017 | 2.814 | 0.217 | 0.294 | 0.000 | 0.292 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 252 | 97 | 85 | 81 | 214 | 61 | 0 | 124 | 0 |
N.S. |
1 | 0.38 | 0.34 | 0.32 | 0.85 | 0.24 | 0.00 | 0.49 | 0.00 |
time (sec) |
N/A | 0.245 | 1.018 | 0.105 | 0.213 | 0.274 | 0.000 | 0.314 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 249 | 95 | 83 | 80 | 59 | 59 | 0 | 107 | 0 |
N.S. |
1 | 0.38 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.243 | 1.019 | 4.334 | 0.201 | 0.258 | 0.000 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 97 | 83 | 80 | 59 | 59 | 0 | 106 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.246 | 1.017 | 5.160 | 0.214 | 0.284 | 0.000 | 0.297 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 99 | 276 | 82 | 282 | 61 | 0 | 126 | 0 |
N.S. |
1 | 0.39 | 1.10 | 0.33 | 1.12 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.242 | 0.804 | 0.122 | 0.205 | 0.289 | 0.000 | 0.299 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 94 | 83 | 80 | 59 | 59 | 0 | 107 | 0 |
N.S. |
1 | 0.38 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.242 | 1.018 | 7.413 | 0.203 | 0.286 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 93 | 83 | 80 | 59 | 59 | 0 | 105 | 0 |
N.S. |
1 | 0.38 | 0.34 | 0.32 | 0.24 | 0.24 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.244 | 1.016 | 8.876 | 0.210 | 0.262 | 0.000 | 0.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 99 | 279 | 82 | 313 | 61 | 0 | 127 | 0 |
N.S. |
1 | 0.39 | 1.11 | 0.33 | 1.24 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.245 | 0.748 | 0.223 | 0.212 | 0.268 | 0.000 | 0.284 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 99 | 83 | 80 | 59 | 59 | 0 | 108 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.23 | 0.23 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.249 | 1.017 | 11.737 | 0.203 | 0.268 | 0.000 | 0.294 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 247 | 93 | 83 | 80 | 59 | 59 | 0 | 106 | 0 |
N.S. |
1 | 0.38 | 0.34 | 0.32 | 0.24 | 0.24 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.245 | 1.012 | 12.872 | 0.214 | 0.261 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 252 | 96 | 696 | 81 | 342 | 61 | 0 | 125 | 0 |
N.S. |
1 | 0.38 | 2.76 | 0.32 | 1.36 | 0.24 | 0.00 | 0.50 | 0.00 |
time (sec) |
N/A | 0.246 | 0.938 | 0.326 | 0.223 | 0.277 | 0.000 | 0.290 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 99 | 83 | 80 | 59 | 59 | 0 | 108 | 0 |
N.S. |
1 | 0.39 | 0.33 | 0.32 | 0.23 | 0.23 | 0.00 | 0.43 | 0.00 |
time (sec) |
N/A | 0.241 | 1.016 | 17.542 | 0.203 | 0.275 | 0.000 | 0.287 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 248 | 94 | 83 | 80 | 59 | 59 | 0 | 105 | 0 |
N.S. |
1 | 0.38 | 0.33 | 0.32 | 0.24 | 0.24 | 0.00 | 0.42 | 0.00 |
time (sec) |
N/A | 0.240 | 1.015 | 20.374 | 0.205 | 0.272 | 0.000 | 0.315 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 251 | 98 | 268 | 72 | 374 | 61 | 0 | 123 | 0 |
N.S. |
1 | 0.39 | 1.07 | 0.29 | 1.49 | 0.24 | 0.00 | 0.49 | 0.00 |
time (sec) |
N/A | 0.252 | 0.495 | 0.632 | 0.227 | 0.265 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 251 | 97 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.39 | 0.33 | 0.31 | 0.24 | 0.24 | 0.00 | 0.43 | 0.92 |
time (sec) |
N/A | 0.246 | 1.018 | 25.488 | 0.210 | 0.254 | 0.000 | 0.311 | 8.348 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 99 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.39 | 0.33 | 0.31 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.239 | 1.018 | 27.049 | 0.204 | 0.266 | 0.000 | 0.317 | 8.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | B | B | F | B | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 41 | 41 | 81 | 58 | 210 | 57 | 0 | 106 | 231 |
N.S. |
1 | 1.00 | 1.98 | 1.41 | 5.12 | 1.39 | 0.00 | 2.59 | 5.63 |
time (sec) |
N/A | 0.182 | 1.016 | 1.203 | 0.224 | 0.276 | 0.000 | 0.295 | 8.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 253 | 99 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.39 | 0.33 | 0.31 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.245 | 1.018 | 33.178 | 0.214 | 0.262 | 0.000 | 0.298 | 8.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.240 | 1.015 | 38.250 | 0.230 | 0.272 | 0.000 | 0.300 | 8.448 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 84 | 75 | 83 | 68 | 241 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.89 | 0.99 | 0.81 | 2.87 | 0.70 | 0.00 | 1.27 | 2.75 |
time (sec) |
N/A | 0.199 | 1.015 | 2.323 | 0.215 | 0.257 | 0.000 | 0.293 | 8.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.241 | 1.013 | 46.670 | 0.207 | 0.265 | 0.000 | 0.300 | 8.343 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 255 | 101 | 83 | 79 | 59 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.40 | 0.33 | 0.31 | 0.23 | 0.23 | 0.00 | 0.42 | 0.91 |
time (sec) |
N/A | 0.250 | 1.016 | 50.938 | 0.208 | 0.281 | 0.000 | 0.293 | 8.340 |
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 | No | TBD | TBD | TBD | TBD | TBD |
size | 128 | 103 | 83 | 66 | 272 | 59 | 0 | 107 | 231 |
N.S. |
1 | 0.80 | 0.65 | 0.52 | 2.12 | 0.46 | 0.00 | 0.84 | 1.80 |
time (sec) |
N/A | 0.216 | 1.025 | 4.142 | 0.213 | 0.264 | 0.000 | 0.296 | 8.352 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 240 | 163 | 131 | 77 | 109 | 123 | 0 | 146 | 0 |
N.S. |
1 | 0.68 | 0.55 | 0.32 | 0.45 | 0.51 | 0.00 | 0.61 | 0.00 |
time (sec) |
N/A | 0.343 | 1.042 | 4.101 | 0.301 | 0.259 | 0.000 | 0.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 235 | 153 | 128 | 74 | 106 | 106 | 0 | 143 | 0 |
N.S. |
1 | 0.65 | 0.54 | 0.31 | 0.45 | 0.45 | 0.00 | 0.61 | 0.00 |
time (sec) |
N/A | 0.332 | 1.026 | 3.208 | 0.283 | 0.257 | 0.000 | 0.301 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 51 | 22 | 15 | 13 | 0 | 22 | 33 |
N.S. |
1 | 1.00 | 1.16 | 0.50 | 0.34 | 0.30 | 0.00 | 0.50 | 0.75 |
time (sec) |
N/A | 0.186 | 0.110 | 0.335 | 0.214 | 0.264 | 0.000 | 0.309 | 8.425 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 202 | 146 | 109 | 47 | 98 | 304 | 0 | 124 | 0 |
N.S. |
1 | 0.72 | 0.54 | 0.23 | 0.49 | 1.50 | 0.00 | 0.61 | 0.00 |
time (sec) |
N/A | 0.313 | 1.025 | 2.265 | 0.300 | 0.278 | 0.000 | 0.303 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 202 | 143 | 109 | 47 | 98 | 299 | 0 | 122 | 0 |
N.S. |
1 | 0.71 | 0.54 | 0.23 | 0.49 | 1.48 | 0.00 | 0.60 | 0.00 |
time (sec) |
N/A | 0.313 | 1.016 | 1.876 | 0.301 | 0.264 | 0.000 | 0.289 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 80 | 55 | 134 | 31 | 43 | 18 | 0 | 32 | 48 |
N.S. |
1 | 0.69 | 1.68 | 0.39 | 0.54 | 0.22 | 0.00 | 0.40 | 0.60 |
time (sec) |
N/A | 0.193 | 0.171 | 0.447 | 0.223 | 0.245 | 0.000 | 0.305 | 8.571 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 238 | 161 | 133 | 93 | 106 | 103 | 0 | 131 | 0 |
N.S. |
1 | 0.68 | 0.56 | 0.39 | 0.45 | 0.43 | 0.00 | 0.55 | 0.00 |
time (sec) |
N/A | 0.331 | 1.024 | 2.737 | 0.287 | 0.276 | 0.000 | 0.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 243 | 158 | 140 | 94 | 106 | 143 | 0 | 125 | 0 |
N.S. |
1 | 0.65 | 0.58 | 0.39 | 0.44 | 0.59 | 0.00 | 0.51 | 0.00 |
time (sec) |
N/A | 0.322 | 1.025 | 3.569 | 0.289 | 0.275 | 0.000 | 0.304 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 125 | 65 | 175 | 44 | 73 | 33 | 0 | 50 | 75 |
N.S. |
1 | 0.52 | 1.40 | 0.35 | 0.58 | 0.26 | 0.00 | 0.40 | 0.60 |
time (sec) |
N/A | 0.222 | 0.179 | 0.472 | 0.199 | 0.269 | 0.000 | 0.284 | 8.516 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 280 | 200 | 235 | 89 | 149 | 512 | 0 | 185 | 0 |
N.S. |
1 | 0.71 | 0.84 | 0.32 | 0.53 | 1.83 | 0.00 | 0.66 | 0.00 |
time (sec) |
N/A | 0.366 | 1.050 | 3.856 | 0.311 | 0.277 | 0.000 | 0.312 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | A | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 276 | 191 | 235 | 87 | 146 | 503 | 0 | 176 | 0 |
N.S. |
1 | 0.69 | 0.85 | 0.32 | 0.53 | 1.82 | 0.00 | 0.64 | 0.00 |
time (sec) |
N/A | 0.365 | 1.042 | 3.245 | 0.289 | 0.280 | 0.000 | 0.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | B | C | A | A | F | A | B |
verified |
N/A | Yes | Yes | No | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 143 | 23 | 16 | 26 | 0 | 24 | 34 |
N.S. |
1 | 1.00 | 3.76 | 0.61 | 0.42 | 0.68 | 0.00 | 0.63 | 0.89 |
time (sec) |
N/A | 0.174 | 0.351 | 0.059 | 0.209 | 0.256 | 0.000 | 0.285 | 8.237 |