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 | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 156 | 64 | 84 | 100 | 67 | 114 | 0 | 98 |
N.S. |
1 | 1.38 | 0.57 | 0.74 | 0.88 | 0.59 | 1.01 | 0.00 | 0.87 |
time (sec) |
N/A | 0.291 | 0.039 | 0.270 | 0.190 | 0.250 | 0.561 | 0.000 | 0.107 |
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 | 90 | 125 | 56 | 77 | 81 | 59 | 104 | 70 | 85 |
N.S. |
1 | 1.39 | 0.62 | 0.86 | 0.90 | 0.66 | 1.16 | 0.78 | 0.94 |
time (sec) |
N/A | 0.263 | 0.031 | 0.249 | 0.204 | 0.263 | 0.557 | 0.280 | 0.503 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 92 | 46 | 67 | 62 | 51 | 90 | 0 | 71 |
N.S. |
1 | 1.23 | 0.61 | 0.89 | 0.83 | 0.68 | 1.20 | 0.00 | 0.95 |
time (sec) |
N/A | 0.235 | 0.025 | 0.217 | 0.207 | 0.264 | 0.522 | 0.000 | 0.462 |
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 | 42 | 61 | 38 | 59 | 42 | 43 | 78 | 53 | 51 |
N.S. |
1 | 1.45 | 0.90 | 1.40 | 1.00 | 1.02 | 1.86 | 1.26 | 1.21 |
time (sec) |
N/A | 0.192 | 0.023 | 0.204 | 0.206 | 0.278 | 0.541 | 0.276 | 0.045 |
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 | 26 | 41 | 25 | 37 | 61 | 41 | 32 |
N.S. |
1 | 1.00 | 0.90 | 1.41 | 0.86 | 1.28 | 2.10 | 1.41 | 1.10 |
time (sec) |
N/A | 0.167 | 0.012 | 0.190 | 0.183 | 0.259 | 0.452 | 0.295 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 29 | 48 | 18 | 58 | 48 | 68 | 32 |
N.S. |
1 | 1.00 | 1.16 | 1.92 | 0.72 | 2.32 | 1.92 | 2.72 | 1.28 |
time (sec) |
N/A | 0.197 | 0.012 | 0.209 | 0.177 | 0.268 | 1.629 | 0.288 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 47 | 34 | 29 | 66 | 26 | 75 | 33 |
N.S. |
1 | 1.00 | 1.24 | 0.89 | 0.76 | 1.74 | 0.68 | 1.97 | 0.87 |
time (sec) |
N/A | 0.197 | 0.022 | 0.225 | 0.190 | 0.254 | 1.149 | 0.283 | 0.039 |
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 | 63 | 63 | 57 | 53 | 48 | 83 | 48 | 153 | 52 |
N.S. |
1 | 1.00 | 0.90 | 0.84 | 0.76 | 1.32 | 0.76 | 2.43 | 0.83 |
time (sec) |
N/A | 0.229 | 0.031 | 0.255 | 0.191 | 0.261 | 1.628 | 0.294 | 0.043 |
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 | 90 | 92 | 70 | 68 | 67 | 92 | 75 | 161 | 74 |
N.S. |
1 | 1.02 | 0.78 | 0.76 | 0.74 | 1.02 | 0.83 | 1.79 | 0.82 |
time (sec) |
N/A | 0.257 | 0.036 | 0.247 | 0.209 | 0.261 | 1.758 | 0.287 | 0.039 |
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 | 113 | 118 | 76 | 77 | 86 | 101 | 122 | 237 | 95 |
N.S. |
1 | 1.04 | 0.67 | 0.68 | 0.76 | 0.89 | 1.08 | 2.10 | 0.84 |
time (sec) |
N/A | 0.290 | 0.040 | 0.274 | 0.203 | 0.259 | 2.957 | 0.299 | 0.033 |
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 | 48 | 48 | 46 | 56 | 46 | 41 | 46 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.17 | 0.96 | 0.85 | 0.96 | 0.90 |
time (sec) |
N/A | 0.208 | 0.017 | 0.245 | 0.284 | 0.249 | 0.081 | 0.280 | 0.475 |
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 | 39 | 39 | 39 | 37 | 47 | 37 | 31 | 37 | 36 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 1.21 | 0.95 | 0.79 | 0.95 | 0.92 |
time (sec) |
N/A | 0.202 | 0.011 | 0.235 | 0.286 | 0.248 | 0.071 | 0.268 | 0.461 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 29 | 29 | 29 | 29 | 38 | 29 | 22 | 29 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.31 | 1.00 | 0.76 | 1.00 | 0.93 |
time (sec) |
N/A | 0.187 | 0.009 | 0.238 | 0.293 | 0.261 | 0.055 | 0.293 | 0.065 |
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 | 30 | 20 | 28 | 21 | 12 | 15 | 19 |
N.S. |
1 | 1.00 | 1.58 | 1.05 | 1.47 | 1.11 | 0.63 | 0.79 | 1.00 |
time (sec) |
N/A | 0.173 | 0.010 | 0.236 | 0.284 | 0.258 | 0.071 | 0.279 | 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 | 13 | 13 | 13 | 13 | 21 | 15 | 17 | 12 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.62 | 1.15 | 1.31 | 0.92 | 1.08 |
time (sec) |
N/A | 0.177 | 0.006 | 0.223 | 0.282 | 0.254 | 0.071 | 0.271 | 0.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 26 | 31 | 26 | 32 | 21 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.19 | 1.00 | 1.23 | 0.81 | 0.65 |
time (sec) |
N/A | 0.187 | 0.009 | 0.273 | 0.260 | 0.255 | 0.082 | 0.276 | 0.066 |
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 | 36 | 38 | 42 | 39 | 42 | 31 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.17 | 1.08 | 1.17 | 0.86 | 0.75 |
time (sec) |
N/A | 0.196 | 0.009 | 0.246 | 0.278 | 0.262 | 0.106 | 0.275 | 0.083 |
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 | 48 | 48 | 48 | 51 | 47 | 54 | 39 | 34 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 1.06 | 0.98 | 1.12 | 0.81 | 0.71 |
time (sec) |
N/A | 0.205 | 0.011 | 0.260 | 0.290 | 0.249 | 0.127 | 0.279 | 0.078 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 154 | 80 | 124 | 114 | 88 | 0 | 0 | 137 |
N.S. |
1 | 1.12 | 0.58 | 0.91 | 0.83 | 0.64 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.810 | 0.042 | 0.420 | 0.186 | 0.260 | 0.000 | 0.000 | 0.502 |
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 | 102 | 125 | 63 | 111 | 95 | 80 | 0 | 0 | 114 |
N.S. |
1 | 1.23 | 0.62 | 1.09 | 0.93 | 0.78 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.711 | 0.039 | 0.395 | 0.205 | 0.275 | 0.000 | 0.000 | 0.069 |
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 | 92 | 89 | 54 | 106 | 76 | 72 | 0 | 0 | 104 |
N.S. |
1 | 0.97 | 0.59 | 1.15 | 0.83 | 0.78 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.562 | 0.043 | 0.342 | 0.209 | 0.263 | 0.000 | 0.000 | 0.495 |
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 | 60 | 60 | 42 | 93 | 57 | 60 | 0 | 0 | 72 |
N.S. |
1 | 1.00 | 0.70 | 1.55 | 0.95 | 1.00 | 0.00 | 0.00 | 1.20 |
time (sec) |
N/A | 0.226 | 0.030 | 0.349 | 0.211 | 0.278 | 0.000 | 0.000 | 0.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 50 | 55 | 101 | 46 | 100 | 0 | 0 | 73 |
N.S. |
1 | 0.98 | 1.08 | 1.98 | 0.90 | 1.96 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.444 | 0.032 | 0.274 | 0.204 | 0.270 | 0.000 | 0.000 | 0.511 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 61 | 80 | 60 | 109 | 0 | 0 | 75 |
N.S. |
1 | 1.00 | 0.97 | 1.27 | 0.95 | 1.73 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.413 | 0.037 | 0.336 | 0.211 | 0.265 | 0.000 | 0.000 | 0.063 |
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 | 92 | 92 | 79 | 105 | 81 | 130 | 0 | 0 | 99 |
N.S. |
1 | 1.00 | 0.86 | 1.14 | 0.88 | 1.41 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.462 | 0.058 | 0.313 | 0.180 | 0.265 | 0.000 | 0.000 | 0.480 |
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 | 117 | 117 | 89 | 116 | 100 | 139 | 0 | 0 | 116 |
N.S. |
1 | 1.00 | 0.76 | 0.99 | 0.85 | 1.19 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.483 | 0.057 | 0.372 | 0.187 | 0.279 | 0.000 | 0.000 | 0.468 |
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 | 65 | 65 | 65 | 67 | 77 | 70 | 56 | 60 | 60 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 1.18 | 1.08 | 0.86 | 0.92 | 0.92 |
time (sec) |
N/A | 0.230 | 0.033 | 0.260 | 0.266 | 0.274 | 0.122 | 0.271 | 0.505 |
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 | 53 | 53 | 53 | 58 | 67 | 62 | 44 | 51 | 51 |
N.S. |
1 | 1.00 | 1.00 | 1.09 | 1.26 | 1.17 | 0.83 | 0.96 | 0.96 |
time (sec) |
N/A | 0.222 | 0.028 | 0.266 | 0.293 | 0.267 | 0.106 | 0.279 | 0.066 |
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 | 45 | 45 | 45 | 50 | 60 | 53 | 36 | 43 | 43 |
N.S. |
1 | 1.00 | 1.00 | 1.11 | 1.33 | 1.18 | 0.80 | 0.96 | 0.96 |
time (sec) |
N/A | 0.203 | 0.021 | 0.237 | 0.294 | 0.253 | 0.085 | 0.288 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 42 | 33 | 44 | 43 | 22 | 25 | 32 |
N.S. |
1 | 1.00 | 1.35 | 1.06 | 1.42 | 1.39 | 0.71 | 0.81 | 1.03 |
time (sec) |
N/A | 0.182 | 0.018 | 0.234 | 0.286 | 0.253 | 0.089 | 0.283 | 0.490 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 15 | 22 | 18 | 10 | 13 | 14 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.38 | 1.12 | 0.62 | 0.81 | 0.88 |
time (sec) |
N/A | 0.178 | 0.009 | 0.242 | 0.272 | 0.257 | 0.101 | 0.290 | 0.084 |
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 | 38 | 38 | 44 | 53 | 60 | 44 | 35 | 37 |
N.S. |
1 | 1.00 | 1.00 | 1.16 | 1.39 | 1.58 | 1.16 | 0.92 | 0.97 |
time (sec) |
N/A | 0.201 | 0.020 | 0.272 | 0.289 | 0.273 | 0.151 | 0.287 | 0.501 |
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 | 52 | 52 | 52 | 53 | 69 | 77 | 58 | 46 | 43 |
N.S. |
1 | 1.00 | 1.00 | 1.02 | 1.33 | 1.48 | 1.12 | 0.88 | 0.83 |
time (sec) |
N/A | 0.208 | 0.034 | 0.277 | 0.285 | 0.267 | 0.165 | 0.284 | 0.567 |
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 | 62 | 62 | 62 | 61 | 77 | 86 | 70 | 54 | 55 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 1.24 | 1.39 | 1.13 | 0.87 | 0.89 |
time (sec) |
N/A | 0.219 | 0.028 | 0.275 | 0.284 | 0.256 | 0.179 | 0.282 | 0.141 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 125 | 56 | 77 | 76 | 59 | 0 | 0 | 85 |
N.S. |
1 | 1.39 | 0.62 | 0.86 | 0.84 | 0.66 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.273 | 0.031 | 0.270 | 0.293 | 0.303 | 0.000 | 0.000 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 92 | 46 | 67 | 59 | 51 | 0 | 0 | 71 |
N.S. |
1 | 1.23 | 0.61 | 0.89 | 0.79 | 0.68 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.237 | 0.023 | 0.254 | 0.277 | 0.267 | 0.000 | 0.000 | 0.463 |
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 | 42 | 61 | 38 | 59 | 42 | 43 | 0 | 53 | 51 |
N.S. |
1 | 1.45 | 0.90 | 1.40 | 1.00 | 1.02 | 0.00 | 1.26 | 1.21 |
time (sec) |
N/A | 0.204 | 0.022 | 0.237 | 0.297 | 0.263 | 0.000 | 0.284 | 0.464 |
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 | 29 | 29 | 26 | 48 | 25 | 37 | 0 | 41 | 32 |
N.S. |
1 | 1.00 | 0.90 | 1.66 | 0.86 | 1.28 | 0.00 | 1.41 | 1.10 |
time (sec) |
N/A | 0.170 | 0.015 | 0.252 | 0.265 | 0.287 | 0.000 | 0.302 | 0.451 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 29 | 121 | 26 | 58 | 0 | 68 | 32 |
N.S. |
1 | 1.00 | 1.16 | 4.84 | 1.04 | 2.32 | 0.00 | 2.72 | 1.28 |
time (sec) |
N/A | 0.204 | 0.014 | 0.234 | 0.284 | 0.264 | 0.000 | 0.291 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 47 | 34 | 0 | 66 | 0 | 0 | 33 |
N.S. |
1 | 1.00 | 1.24 | 0.89 | 0.00 | 1.74 | 0.00 | 0.00 | 0.87 |
time (sec) |
N/A | 0.200 | 0.022 | 0.243 | 0.000 | 0.265 | 0.000 | 0.000 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 64 | 57 | 60 | 0 | 83 | 0 | 0 | 52 |
N.S. |
1 | 1.02 | 0.90 | 0.95 | 0.00 | 1.32 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.229 | 0.033 | 0.246 | 0.000 | 0.274 | 0.000 | 0.000 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 92 | 70 | 68 | 0 | 92 | 0 | 0 | 74 |
N.S. |
1 | 1.02 | 0.78 | 0.76 | 0.00 | 1.02 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.254 | 0.039 | 0.253 | 0.000 | 0.257 | 0.000 | 0.000 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 118 | 76 | 77 | 0 | 101 | 0 | 0 | 95 |
N.S. |
1 | 1.04 | 0.67 | 0.68 | 0.00 | 0.89 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.286 | 0.042 | 0.277 | 0.000 | 0.270 | 0.000 | 0.000 | 0.034 |
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 | 49 | 48 | 44 | 46 | 41 | 68 | 43 |
N.S. |
1 | 1.00 | 1.00 | 0.98 | 0.90 | 0.94 | 0.84 | 1.39 | 0.88 |
time (sec) |
N/A | 0.208 | 0.019 | 0.194 | 0.176 | 0.266 | 0.068 | 0.292 | 0.060 |
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 | 40 | 40 | 40 | 40 | 35 | 37 | 31 | 58 | 36 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.88 | 0.92 | 0.78 | 1.45 | 0.90 |
time (sec) |
N/A | 0.203 | 0.011 | 0.205 | 0.189 | 0.248 | 0.067 | 0.290 | 0.459 |
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 | 30 | 30 | 30 | 31 | 28 | 29 | 22 | 52 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.03 | 0.93 | 0.97 | 0.73 | 1.73 | 0.90 |
time (sec) |
N/A | 0.189 | 0.011 | 0.198 | 0.187 | 0.260 | 0.051 | 0.290 | 0.486 |
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 | 20 | 20 | 30 | 19 | 16 | 21 | 14 | 65 | 19 |
N.S. |
1 | 1.00 | 1.50 | 0.95 | 0.80 | 1.05 | 0.70 | 3.25 | 0.95 |
time (sec) |
N/A | 0.177 | 0.011 | 0.216 | 0.218 | 0.247 | 0.059 | 0.287 | 0.454 |
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 | 14 | 14 | 14 | 14 | 12 | 15 | 17 | 44 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.86 | 1.07 | 1.21 | 3.14 | 1.00 |
time (sec) |
N/A | 0.183 | 0.007 | 0.189 | 0.216 | 0.279 | 0.072 | 0.282 | 0.497 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 27 | 25 | 34 | 26 | 32 | 34 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.26 | 0.96 | 1.19 | 1.26 | 0.63 |
time (sec) |
N/A | 0.193 | 0.010 | 0.217 | 0.207 | 0.249 | 0.084 | 0.281 | 0.486 |
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 | 37 | 37 | 37 | 34 | 50 | 39 | 42 | 54 | 26 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.35 | 1.05 | 1.14 | 1.46 | 0.70 |
time (sec) |
N/A | 0.199 | 0.010 | 0.238 | 0.213 | 0.260 | 0.100 | 0.280 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 49 | 44 | 57 | 47 | 54 | 67 | 33 |
N.S. |
1 | 1.00 | 1.00 | 0.90 | 1.16 | 0.96 | 1.10 | 1.37 | 0.67 |
time (sec) |
N/A | 0.206 | 0.012 | 0.263 | 0.203 | 0.267 | 0.122 | 0.295 | 0.481 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 137 | 154 | 80 | 124 | 216 | 88 | 0 | 0 | 138 |
N.S. |
1 | 1.12 | 0.58 | 0.91 | 1.58 | 0.64 | 0.00 | 0.00 | 1.01 |
time (sec) |
N/A | 0.798 | 0.043 | 0.371 | 0.285 | 0.253 | 0.000 | 0.000 | 0.514 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 102 | 125 | 63 | 111 | 181 | 80 | 0 | 0 | 115 |
N.S. |
1 | 1.23 | 0.62 | 1.09 | 1.77 | 0.78 | 0.00 | 0.00 | 1.13 |
time (sec) |
N/A | 0.702 | 0.040 | 0.363 | 0.298 | 0.259 | 0.000 | 0.000 | 0.075 |
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 | 92 | 89 | 60 | 106 | 112 | 72 | 0 | 0 | 105 |
N.S. |
1 | 0.97 | 0.65 | 1.15 | 1.22 | 0.78 | 0.00 | 0.00 | 1.14 |
time (sec) |
N/A | 0.547 | 0.040 | 0.327 | 0.260 | 0.280 | 0.000 | 0.000 | 0.481 |
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 | 60 | 60 | 42 | 93 | 65 | 60 | 0 | 0 | 73 |
N.S. |
1 | 1.00 | 0.70 | 1.55 | 1.08 | 1.00 | 0.00 | 0.00 | 1.22 |
time (sec) |
N/A | 0.227 | 0.027 | 0.328 | 0.266 | 0.289 | 0.000 | 0.000 | 0.473 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 52 | 50 | 55 | 649 | 0 | 100 | 0 | 0 | 74 |
N.S. |
1 | 0.96 | 1.06 | 12.48 | 0.00 | 1.92 | 0.00 | 0.00 | 1.42 |
time (sec) |
N/A | 0.442 | 0.034 | 0.293 | 0.000 | 0.298 | 0.000 | 0.000 | 0.494 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 61 | 82 | 0 | 109 | 0 | 0 | 76 |
N.S. |
1 | 1.00 | 0.95 | 1.28 | 0.00 | 1.70 | 0.00 | 0.00 | 1.19 |
time (sec) |
N/A | 0.417 | 0.040 | 0.355 | 0.000 | 0.275 | 0.000 | 0.000 | 0.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 79 | 108 | 0 | 130 | 0 | 0 | 100 |
N.S. |
1 | 1.00 | 0.85 | 1.16 | 0.00 | 1.40 | 0.00 | 0.00 | 1.08 |
time (sec) |
N/A | 0.456 | 0.057 | 0.395 | 0.000 | 0.270 | 0.000 | 0.000 | 0.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 89 | 116 | 0 | 139 | 0 | 0 | 117 |
N.S. |
1 | 1.00 | 0.75 | 0.98 | 0.00 | 1.18 | 0.00 | 0.00 | 0.99 |
time (sec) |
N/A | 0.475 | 0.053 | 0.460 | 0.000 | 0.276 | 0.000 | 0.000 | 0.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 95 | 125 | 0 | 146 | 0 | 0 | 139 |
N.S. |
1 | 1.00 | 0.68 | 0.90 | 0.00 | 1.05 | 0.00 | 0.00 | 1.00 |
time (sec) |
N/A | 0.514 | 0.060 | 0.425 | 0.000 | 0.268 | 0.000 | 0.000 | 0.504 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 339 | 317 | 82 | 0 | 0 | 244 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.24 | 0.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.424 | 0.030 | 0.000 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 295 | 280 | 63 | 0 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.21 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.016 | 0.000 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 239 | 41 | 0 | 0 | 209 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.15 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.022 | 0.000 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 266 | 97 | 0 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.413 | 0.027 | 0.000 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 71 | 0 | 0 | 151 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.77 | 0.00 | 0.00 | 1.64 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.212 | 0.013 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 132 | 135 | 81 | 0 | 0 | 175 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.240 | 0.015 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 172 | 93 | 0 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.55 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.020 | 0.000 | 0.000 | 0.258 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 202 | 209 | 99 | 0 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.49 | 0.00 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.306 | 0.023 | 0.000 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 240 | 248 | 111 | 0 | 0 | 200 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.46 | 0.00 | 0.00 | 0.83 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.028 | 0.000 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 337 | 330 | 148 | 0 | 0 | 254 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.44 | 0.00 | 0.00 | 0.75 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.455 | 0.083 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 339 | 317 | 82 | 0 | 0 | 247 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.24 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.442 | 0.025 | 0.000 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 295 | 280 | 61 | 0 | 0 | 239 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.21 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.405 | 0.018 | 0.000 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 239 | 41 | 0 | 0 | 215 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.15 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.365 | 0.025 | 0.000 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 266 | 96 | 0 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.417 | 0.024 | 0.000 | 0.000 | 0.278 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 68 | 0 | 0 | 157 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.74 | 0.00 | 0.00 | 1.71 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.224 | 0.011 | 0.000 | 0.000 | 0.276 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 132 | 135 | 81 | 0 | 0 | 179 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.00 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.238 | 0.014 | 0.000 | 0.000 | 0.260 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 172 | 93 | 0 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.55 | 0.00 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.287 | 0.019 | 0.000 | 0.000 | 0.277 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 202 | 207 | 99 | 0 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.49 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.312 | 0.024 | 0.000 | 0.000 | 0.272 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 373 | 372 | 96 | 0 | 0 | 251 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.26 | 0.00 | 0.00 | 0.67 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.500 | 0.034 | 0.000 | 0.000 | 0.269 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 371 | 354 | 86 | 0 | 0 | 244 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.23 | 0.00 | 0.00 | 0.66 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.476 | 0.028 | 0.000 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 324 | 314 | 72 | 0 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.97 | 0.22 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.437 | 0.026 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 299 | 273 | 41 | 0 | 0 | 209 | 0 | 0 | 0 |
N.S. |
1 | 0.91 | 0.14 | 0.00 | 0.00 | 0.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.392 | 0.032 | 0.000 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 293 | 292 | 112 | 0 | 0 | 267 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.38 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 0.031 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 121 | 127 | 87 | 0 | 0 | 152 | 0 | 0 | 0 |
N.S. |
1 | 1.05 | 0.72 | 0.00 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.231 | 0.016 | 0.000 | 0.000 | 0.281 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 163 | 166 | 99 | 0 | 0 | 176 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.00 | 0.00 | 1.08 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.259 | 0.020 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 203 | 205 | 106 | 0 | 0 | 184 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.52 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.304 | 0.024 | 0.000 | 0.000 | 0.275 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F(-1) | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 233 | 240 | 118 | 0 | 0 | 192 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.51 | 0.00 | 0.00 | 0.82 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.336 | 0.030 | 0.000 | 0.000 | 0.271 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 337 | 330 | 127 | 0 | 0 | 255 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.38 | 0.00 | 0.00 | 0.76 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.457 | 0.079 | 0.000 | 0.000 | 0.300 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 339 | 317 | 73 | 0 | 0 | 247 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.22 | 0.00 | 0.00 | 0.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.435 | 0.029 | 0.000 | 0.000 | 0.284 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 295 | 280 | 63 | 0 | 0 | 238 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.21 | 0.00 | 0.00 | 0.81 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.399 | 0.012 | 0.000 | 0.000 | 0.268 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 239 | 41 | 0 | 0 | 213 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.15 | 0.00 | 0.00 | 0.79 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.349 | 0.024 | 0.000 | 0.000 | 0.265 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 266 | 96 | 0 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.36 | 0.00 | 0.00 | 0.91 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.422 | 0.018 | 0.000 | 0.000 | 0.264 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | B | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 92 | 96 | 69 | 0 | 0 | 156 | 0 | 0 | 0 |
N.S. |
1 | 1.04 | 0.75 | 0.00 | 0.00 | 1.70 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.228 | 0.011 | 0.000 | 0.000 | 0.261 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 132 | 135 | 81 | 0 | 0 | 178 | 0 | 0 | 0 |
N.S. |
1 | 1.02 | 0.61 | 0.00 | 0.00 | 1.35 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.243 | 0.015 | 0.000 | 0.000 | 0.266 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 170 | 172 | 92 | 0 | 0 | 187 | 0 | 0 | 0 |
N.S. |
1 | 1.01 | 0.54 | 0.00 | 0.00 | 1.10 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.282 | 0.022 | 0.000 | 0.000 | 0.263 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 202 | 209 | 99 | 0 | 0 | 195 | 0 | 0 | 0 |
N.S. |
1 | 1.03 | 0.49 | 0.00 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.313 | 0.026 | 0.000 | 0.000 | 0.270 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 337 | 330 | 127 | 0 | 0 | 251 | 0 | 0 | 0 |
N.S. |
1 | 0.98 | 0.38 | 0.00 | 0.00 | 0.74 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.460 | 0.095 | 0.000 | 0.000 | 0.274 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 339 | 317 | 73 | 0 | 0 | 243 | 0 | 0 | 0 |
N.S. |
1 | 0.94 | 0.22 | 0.00 | 0.00 | 0.72 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.443 | 0.025 | 0.000 | 0.000 | 0.273 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 295 | 280 | 63 | 0 | 0 | 236 | 0 | 0 | 0 |
N.S. |
1 | 0.95 | 0.21 | 0.00 | 0.00 | 0.80 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.408 | 0.013 | 0.000 | 0.000 | 0.279 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | A | F | F(-2) | F(-1) |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 239 | 39 | 0 | 0 | 209 | 0 | 0 | 0 |
N.S. |
1 | 0.89 | 0.15 | 0.00 | 0.00 | 0.78 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.372 | 0.033 | 0.000 | 0.000 | 0.280 | 0.000 | 0.000 | 0.000 |