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 | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 18 | 15 | 15 | 31 | 16 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 2.07 | 1.07 | 1.00 |
time (sec) |
N/A | 0.147 | 0.026 | 3.892 | 0.200 | 0.286 | 0.717 | 0.291 | 5.748 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 26 | 25 | 23 | 28 | 22 | 41 | 0 | 22 |
N.S. |
1 | 1.13 | 1.09 | 1.00 | 1.22 | 0.96 | 1.78 | 0.00 | 0.96 |
time (sec) |
N/A | 0.156 | 0.009 | 3.863 | 0.210 | 0.303 | 0.313 | 0.000 | 0.025 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 41 | 42 | 37 | 73 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.08 | 1.11 | 0.97 | 1.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.063 | 3.751 | 0.214 | 0.284 | 1.540 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 54 | 48 | 58 | 58 | 59 | 95 | 0 | 0 |
N.S. |
1 | 0.95 | 0.84 | 1.02 | 1.02 | 1.04 | 1.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.108 | 3.810 | 0.211 | 0.272 | 2.990 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 70 | 63 | 75 | 71 | 72 | 110 | 0 | 0 |
N.S. |
1 | 0.92 | 0.83 | 0.99 | 0.93 | 0.95 | 1.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.127 | 3.827 | 0.209 | 0.305 | 5.616 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 82 | 71 | 65 | 79 | 72 | 65 | 90 | 0 | 0 |
N.S. |
1 | 0.87 | 0.79 | 0.96 | 0.88 | 0.79 | 1.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.003 | 3.867 | 0.210 | 0.269 | 2.675 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 56 | 52 | 63 | 60 | 52 | 75 | 0 | 0 |
N.S. |
1 | 0.88 | 0.81 | 0.98 | 0.94 | 0.81 | 1.17 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.003 | 3.972 | 0.206 | 0.288 | 1.500 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 41 | 38 | 47 | 45 | 38 | 60 | 0 | 0 |
N.S. |
1 | 0.89 | 0.83 | 1.02 | 0.98 | 0.83 | 1.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.009 | 3.821 | 0.226 | 0.294 | 1.229 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 26 | 27 | 31 | 32 | 24 | 44 | 0 | 0 |
N.S. |
1 | 0.93 | 0.96 | 1.11 | 1.14 | 0.86 | 1.57 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.007 | 3.813 | 0.205 | 0.262 | 0.797 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 18 | 15 | 15 | 31 | 16 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 2.07 | 1.07 | 1.00 |
time (sec) |
N/A | 0.139 | 0.002 | 3.896 | 0.210 | 0.270 | 0.717 | 0.302 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 23 | 26 | 25 | 23 | 28 | 22 | 41 | 0 | 22 |
N.S. |
1 | 1.13 | 1.09 | 1.00 | 1.22 | 0.96 | 1.78 | 0.00 | 0.96 |
time (sec) |
N/A | 0.152 | 0.003 | 3.839 | 0.215 | 0.301 | 0.309 | 0.000 | 0.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 41 | 42 | 37 | 73 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.08 | 1.11 | 0.97 | 1.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.179 | 0.001 | 3.929 | 0.208 | 0.267 | 1.485 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 54 | 48 | 58 | 58 | 59 | 95 | 0 | 0 |
N.S. |
1 | 0.95 | 0.84 | 1.02 | 1.02 | 1.04 | 1.67 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 0.011 | 3.763 | 0.213 | 0.363 | 3.045 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 70 | 63 | 75 | 71 | 72 | 110 | 0 | 0 |
N.S. |
1 | 0.92 | 0.83 | 0.99 | 0.93 | 0.95 | 1.45 | 0.00 | 0.00 |
time (sec) |
N/A | 0.200 | 0.010 | 3.913 | 0.202 | 0.266 | 5.598 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 60 | 54 | 70 | 63 | 55 | 82 | 0 | 0 |
N.S. |
1 | 0.85 | 0.76 | 0.99 | 0.89 | 0.77 | 1.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.064 | 3.767 | 0.224 | 0.257 | 1.783 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 48 | 43 | 57 | 52 | 44 | 66 | 0 | 0 |
N.S. |
1 | 0.86 | 0.77 | 1.02 | 0.93 | 0.79 | 1.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.056 | 3.766 | 0.203 | 0.259 | 1.139 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 38 | 33 | 44 | 42 | 34 | 56 | 0 | 0 |
N.S. |
1 | 0.88 | 0.77 | 1.02 | 0.98 | 0.79 | 1.30 | 0.00 | 0.00 |
time (sec) |
N/A | 0.178 | 0.051 | 3.891 | 0.210 | 0.259 | 0.911 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 25 | 26 | 30 | 31 | 23 | 42 | 0 | 0 |
N.S. |
1 | 0.93 | 0.96 | 1.11 | 1.15 | 0.85 | 1.56 | 0.00 | 0.00 |
time (sec) |
N/A | 0.172 | 0.046 | 3.979 | 0.199 | 0.272 | 0.656 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 18 | 15 | 15 | 31 | 16 | 15 |
N.S. |
1 | 1.00 | 1.00 | 1.20 | 1.00 | 1.00 | 2.07 | 1.07 | 1.00 |
time (sec) |
N/A | 0.145 | 0.024 | 3.996 | 0.204 | 0.260 | 0.620 | 0.302 | 5.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 25 | 24 | 21 | 23 | 20 | 29 | 0 | 18 |
N.S. |
1 | 1.14 | 1.09 | 0.95 | 1.05 | 0.91 | 1.32 | 0.00 | 0.82 |
time (sec) |
N/A | 0.151 | 0.039 | 3.857 | 0.214 | 0.264 | 0.273 | 0.000 | 5.612 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 34 | 33 | 34 | 34 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 0.92 | 0.94 | 0.94 | 1.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.058 | 3.916 | 0.199 | 0.261 | 1.146 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 50 | 45 | 48 | 47 | 50 | 66 | 0 | 0 |
N.S. |
1 | 0.94 | 0.85 | 0.91 | 0.89 | 0.94 | 1.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.184 | 0.088 | 3.667 | 0.203 | 0.273 | 2.254 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 62 | 56 | 61 | 58 | 61 | 78 | 0 | 0 |
N.S. |
1 | 0.91 | 0.82 | 0.90 | 0.85 | 0.90 | 1.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.195 | 0.098 | 3.830 | 0.212 | 0.298 | 4.248 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 58 | 74 | 67 | 78 | 76 | 178 | 0 | 0 |
N.S. |
1 | 0.88 | 1.12 | 1.02 | 1.18 | 1.15 | 2.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.082 | 4.014 | 0.202 | 0.281 | 5.561 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 48 | 43 | 55 | 51 | 61 | 59 | 133 | 0 | 0 |
N.S. |
1 | 0.90 | 1.15 | 1.06 | 1.27 | 1.23 | 2.77 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.076 | 3.911 | 0.221 | 0.256 | 4.681 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 31 | 39 | 36 | 39 | 36 | 99 | 0 | 0 |
N.S. |
1 | 0.94 | 1.18 | 1.09 | 1.18 | 1.09 | 3.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.183 | 0.062 | 3.920 | 0.273 | 0.258 | 4.319 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 17 | 18 | 17 | 17 | 65 | 17 | 21 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.00 | 3.82 | 1.00 | 1.24 |
time (sec) |
N/A | 0.150 | 0.026 | 3.772 | 0.256 | 0.249 | 0.704 | 0.282 | 5.824 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 44 | 40 | 43 | 50 | 160 | 0 | 39 |
N.S. |
1 | 1.00 | 1.13 | 1.03 | 1.10 | 1.28 | 4.10 | 0.00 | 1.00 |
time (sec) |
N/A | 0.188 | 0.017 | 3.722 | 0.201 | 0.361 | 0.642 | 0.000 | 5.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 54 | 49 | 60 | 62 | 82 | 262 | 0 | 0 |
N.S. |
1 | 0.95 | 0.86 | 1.05 | 1.09 | 1.44 | 4.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.199 | 0.147 | 3.847 | 0.211 | 0.265 | 7.269 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F(-2) | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 72 | 71 | 79 | 0 | 105 | 345 | 0 | 0 |
N.S. |
1 | 0.92 | 0.91 | 1.01 | 0.00 | 1.35 | 4.42 | 0.00 | 0.00 |
time (sec) |
N/A | 0.213 | 0.157 | 4.016 | 0.000 | 0.273 | 16.800 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 94 | 85 | 83 | 95 | 94 | 116 | 384 | 0 | 0 |
N.S. |
1 | 0.90 | 0.88 | 1.01 | 1.00 | 1.23 | 4.09 | 0.00 | 0.00 |
time (sec) |
N/A | 0.232 | 0.240 | 4.041 | 0.198 | 0.266 | 35.925 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 70 | 62 | 68 | 61 | 91 | 102 | 309 | 0 | 0 |
N.S. |
1 | 0.89 | 0.97 | 0.87 | 1.30 | 1.46 | 4.41 | 0.00 | 0.00 |
time (sec) |
N/A | 0.210 | 0.102 | 3.951 | 0.241 | 0.257 | 9.408 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 56 | 51 | 47 | 47 | 66 | 76 | 260 | 0 | 0 |
N.S. |
1 | 0.91 | 0.84 | 0.84 | 1.18 | 1.36 | 4.64 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.102 | 3.945 | 0.202 | 0.274 | 15.374 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 29 | 26 | 41 | 41 | 88 | 0 | 37 |
N.S. |
1 | 1.00 | 1.21 | 1.08 | 1.71 | 1.71 | 3.67 | 0.00 | 1.54 |
time (sec) |
N/A | 0.150 | 0.057 | 3.891 | 0.205 | 0.285 | 1.431 | 0.000 | 5.714 |
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 | 19 | 19 | 19 | 18 | 17 | 31 | 136 | 17 | 33 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.89 | 1.63 | 7.16 | 0.89 | 1.74 |
time (sec) |
N/A | 0.143 | 0.029 | 4.000 | 0.212 | 0.271 | 1.480 | 0.281 | 5.809 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 58 | 55 | 48 | 53 | 71 | 106 | 415 | 0 | 69 |
N.S. |
1 | 0.95 | 0.83 | 0.91 | 1.22 | 1.83 | 7.16 | 0.00 | 1.19 |
time (sec) |
N/A | 0.199 | 0.053 | 3.722 | 0.196 | 0.268 | 1.101 | 0.000 | 5.541 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 71 | 68 | 70 | 91 | 139 | 547 | 0 | 0 |
N.S. |
1 | 0.92 | 0.88 | 0.91 | 1.18 | 1.81 | 7.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.215 | 0.208 | 3.943 | 0.220 | 0.255 | 21.305 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 101 | 92 | 85 | 90 | 110 | 160 | 629 | 0 | 0 |
N.S. |
1 | 0.91 | 0.84 | 0.89 | 1.09 | 1.58 | 6.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.236 | 0.180 | 3.785 | 0.203 | 0.272 | 41.650 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 48 | 32 | 79 | 0 | 130 | 41 | 0 | 0 |
N.S. |
1 | 0.96 | 0.64 | 1.58 | 0.00 | 2.60 | 0.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.181 | 0.048 | 3.888 | 0.000 | 0.278 | 0.661 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 34 | 54 | 0 | 178 | 192 | 0 | 0 |
N.S. |
1 | 1.00 | 0.21 | 0.34 | 0.00 | 1.11 | 1.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.328 | 0.046 | 3.788 | 0.000 | 0.317 | 1.036 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 236 | 259 | 34 | 54 | 0 | 255 | 267 | 0 | 0 |
N.S. |
1 | 1.10 | 0.14 | 0.23 | 0.00 | 1.08 | 1.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.446 | 0.047 | 4.103 | 0.000 | 0.373 | 1.124 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 41 | 42 | 37 | 73 | 0 | 0 |
N.S. |
1 | 1.00 | 0.87 | 1.08 | 1.11 | 0.97 | 1.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.017 | 3.822 | 0.218 | 0.298 | 1.518 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 50 | 48 | 32 | 79 | 0 | 130 | 41 | 0 | 0 |
N.S. |
1 | 0.96 | 0.64 | 1.58 | 0.00 | 2.60 | 0.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.174 | 0.001 | 3.801 | 0.000 | 0.317 | 0.655 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 158 | 156 | 32 | 57 | 0 | 145 | 189 | 0 | 0 |
N.S. |
1 | 0.99 | 0.20 | 0.36 | 0.00 | 0.92 | 1.20 | 0.00 | 0.00 |
time (sec) |
N/A | 0.321 | 0.045 | 3.825 | 0.000 | 0.279 | 1.029 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 234 | 255 | 32 | 56 | 0 | 197 | 265 | 0 | 0 |
N.S. |
1 | 1.09 | 0.14 | 0.24 | 0.00 | 0.84 | 1.13 | 0.00 | 0.00 |
time (sec) |
N/A | 0.456 | 0.044 | 3.710 | 0.000 | 0.301 | 1.128 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 70 | 34 | 97 | 0 | 251 | 56 | 0 | 0 |
N.S. |
1 | 1.03 | 0.50 | 1.43 | 0.00 | 3.69 | 0.82 | 0.00 | 0.00 |
time (sec) |
N/A | 0.208 | 0.046 | 3.797 | 0.000 | 0.334 | 1.056 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | A | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 176 | 178 | 34 | 73 | 0 | 180 | 230 | 0 | 0 |
N.S. |
1 | 1.01 | 0.19 | 0.41 | 0.00 | 1.02 | 1.31 | 0.00 | 0.00 |
time (sec) |
N/A | 0.352 | 0.046 | 3.700 | 0.000 | 0.333 | 1.085 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | C | F | C | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 252 | 277 | 34 | 73 | 0 | 261 | 309 | 0 | 0 |
N.S. |
1 | 1.10 | 0.13 | 0.29 | 0.00 | 1.04 | 1.23 | 0.00 | 0.00 |
time (sec) |
N/A | 0.456 | 0.046 | 3.868 | 0.000 | 0.436 | 1.208 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 84 | 57 | 67 | 66 | 66 | 2572 | 0 | 0 |
N.S. |
1 | 0.91 | 0.62 | 0.73 | 0.72 | 0.72 | 27.96 | 0.00 | 0.00 |
time (sec) |
N/A | 0.207 | 0.079 | 3.858 | 0.242 | 0.270 | 4.796 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 63 | 44 | 54 | 53 | 53 | 1015 | 0 | 0 |
N.S. |
1 | 0.93 | 0.65 | 0.79 | 0.78 | 0.78 | 14.93 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.071 | 3.894 | 0.238 | 0.261 | 2.994 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 44 | 42 | 31 | 41 | 39 | 39 | 338 | 0 | 0 |
N.S. |
1 | 0.95 | 0.70 | 0.93 | 0.89 | 0.89 | 7.68 | 0.00 | 0.00 |
time (sec) |
N/A | 0.173 | 0.066 | 4.059 | 0.220 | 0.266 | 1.816 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 18 | 17 | 17 | 48 | 17 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.86 | 0.81 | 0.81 | 2.29 | 0.81 | 0.81 |
time (sec) |
N/A | 0.144 | 0.033 | 3.913 | 0.193 | 0.277 | 1.198 | 0.285 | 6.246 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 45 | 43 | 42 | 36 | 54 | 91 | 76 | 0 | 0 |
N.S. |
1 | 0.96 | 0.93 | 0.80 | 1.20 | 2.02 | 1.69 | 0.00 | 0.00 |
time (sec) |
N/A | 0.169 | 0.011 | 3.626 | 0.273 | 0.279 | 0.941 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 51 | 49 | 48 | 0 | 0 | 119 | 49 | 0 | 0 |
N.S. |
1 | 0.96 | 0.94 | 0.00 | 0.00 | 2.33 | 0.96 | 0.00 | 0.00 |
time (sec) |
N/A | 0.167 | 0.137 | 0.000 | 0.000 | 0.283 | 2.368 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 84 | 77 | 69 | 0 | 0 | 153 | 112 | 0 | 0 |
N.S. |
1 | 0.92 | 0.82 | 0.00 | 0.00 | 1.82 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.190 | 0.184 | 0.000 | 0.000 | 0.274 | 5.876 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 113 | 109 | 81 | 0 | 0 | 183 | 143 | 0 | 0 |
N.S. |
1 | 0.96 | 0.72 | 0.00 | 0.00 | 1.62 | 1.27 | 0.00 | 0.00 |
time (sec) |
N/A | 0.202 | 0.238 | 0.000 | 0.000 | 0.293 | 15.857 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 141 | 95 | 0 | 0 | 209 | 178 | 0 | 0 |
N.S. |
1 | 0.99 | 0.67 | 0.00 | 0.00 | 1.47 | 1.25 | 0.00 | 0.00 |
time (sec) |
N/A | 0.217 | 0.239 | 0.000 | 0.000 | 0.419 | 50.588 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 80 | 57 | 54 | 66 | 53 | 2422 | 0 | 0 |
N.S. |
1 | 0.91 | 0.65 | 0.61 | 0.75 | 0.60 | 27.52 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.070 | 3.865 | 0.227 | 0.259 | 3.426 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 66 | 61 | 44 | 41 | 53 | 40 | 916 | 0 | 0 |
N.S. |
1 | 0.92 | 0.67 | 0.62 | 0.80 | 0.61 | 13.88 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.063 | 3.984 | 0.221 | 0.267 | 2.043 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 40 | 30 | 28 | 39 | 26 | 275 | 0 | 0 |
N.S. |
1 | 0.95 | 0.71 | 0.67 | 0.93 | 0.62 | 6.55 | 0.00 | 0.00 |
time (sec) |
N/A | 0.176 | 0.056 | 3.702 | 0.200 | 0.267 | 1.220 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 18 | 17 | 17 | 44 | 17 | 17 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.89 | 0.89 | 2.32 | 0.89 | 0.89 |
time (sec) |
N/A | 0.143 | 0.033 | 3.787 | 0.197 | 0.287 | 0.862 | 0.289 | 6.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 28 | 23 | 39 | 70 | 26 | 0 | 0 |
N.S. |
1 | 1.00 | 1.00 | 0.82 | 1.39 | 2.50 | 0.93 | 0.00 | 0.00 |
time (sec) |
N/A | 0.157 | 0.002 | 3.755 | 0.285 | 0.271 | 0.649 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 53 | 51 | 53 | 0 | 0 | 119 | 49 | 0 | 0 |
N.S. |
1 | 0.96 | 1.00 | 0.00 | 0.00 | 2.25 | 0.92 | 0.00 | 0.00 |
time (sec) |
N/A | 0.171 | 0.121 | 0.000 | 0.000 | 0.292 | 3.155 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 87 | 83 | 68 | 0 | 0 | 157 | 117 | 0 | 0 |
N.S. |
1 | 0.95 | 0.78 | 0.00 | 0.00 | 1.80 | 1.34 | 0.00 | 0.00 |
time (sec) |
N/A | 0.187 | 0.176 | 0.000 | 0.000 | 0.273 | 8.711 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 116 | 115 | 81 | 0 | 0 | 183 | 150 | 0 | 0 |
N.S. |
1 | 0.99 | 0.70 | 0.00 | 0.00 | 1.58 | 1.29 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.186 | 0.000 | 0.000 | 0.298 | 26.572 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 145 | 147 | 94 | 0 | 0 | 209 | 182 | 0 | 0 |
N.S. |
1 | 1.01 | 0.65 | 0.00 | 0.00 | 1.44 | 1.26 | 0.00 | 0.00 |
time (sec) |
N/A | 0.218 | 0.222 | 0.000 | 0.000 | 0.275 | 86.342 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 67 | 78 | 75 | 362 | 3536 | 622 | 77 |
N.S. |
1 | 1.00 | 0.89 | 1.04 | 1.00 | 4.83 | 47.15 | 8.29 | 1.03 |
time (sec) |
N/A | 0.211 | 0.096 | 3.694 | 0.187 | 0.280 | 2.650 | 0.285 | 5.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 51 | 46 | 53 | 51 | 151 | 981 | 238 | 52 |
N.S. |
1 | 1.00 | 0.90 | 1.04 | 1.00 | 2.96 | 19.24 | 4.67 | 1.02 |
time (sec) |
N/A | 0.197 | 0.066 | 3.869 | 0.197 | 0.260 | 1.257 | 0.306 | 5.891 |
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 | 27 | 27 | 27 | 28 | 27 | 43 | 148 | 55 | 27 |
N.S. |
1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.59 | 5.48 | 2.04 | 1.00 |
time (sec) |
N/A | 0.170 | 0.043 | 0.039 | 0.197 | 0.274 | 0.576 | 0.300 | 5.863 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 41 | 0 | 0 | 0 | 133 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 3.32 | 0.00 | 0.00 |
time (sec) |
N/A | 0.168 | 0.039 | 0.000 | 0.000 | 0.000 | 0.627 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 41 | 0 | 0 | 0 | 1068 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 26.70 | 0.00 | 0.00 |
time (sec) |
N/A | 0.161 | 0.040 | 0.000 | 0.000 | 0.000 | 1.096 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 41 | 0 | 0 | 0 | 4539 | 0 | 0 |
N.S. |
1 | 1.00 | 1.02 | 0.00 | 0.00 | 0.00 | 113.48 | 0.00 | 0.00 |
time (sec) |
N/A | 0.165 | 0.040 | 0.000 | 0.000 | 0.000 | 2.275 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 65 | 66 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.18 | 1.20 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.060 | 0.000 | 0.000 | 0.000 | 7.646 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 65 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.16 | 1.18 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.189 | 0.047 | 0.000 | 0.000 | 0.000 | 1.068 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 64 | 65 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.16 | 1.18 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.188 | 0.050 | 0.000 | 0.000 | 0.000 | 0.830 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 67 | 68 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.22 | 1.24 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.062 | 0.000 | 0.000 | 0.000 | 1.468 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 55 | 67 | 68 | 0 | 0 | 0 | 73 | 0 | 0 |
N.S. |
1 | 1.22 | 1.24 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.186 | 0.063 | 0.000 | 0.000 | 0.000 | 7.707 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 59 | 70 | 68 | 0 | 0 | 0 | 60 | 0 | 0 |
N.S. |
1 | 1.19 | 1.15 | 0.00 | 0.00 | 0.00 | 1.02 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 0.061 | 0.000 | 0.000 | 0.000 | 2.313 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 65 | 65 | 0 | 0 | 0 | 58 | 0 | 0 |
N.S. |
1 | 1.16 | 1.16 | 0.00 | 0.00 | 0.00 | 1.04 | 0.00 | 0.00 |
time (sec) |
N/A | 0.192 | 0.058 | 0.000 | 0.000 | 0.000 | 1.608 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 56 | 65 | 64 | 0 | 0 | 0 | 66 | 0 | 0 |
N.S. |
1 | 1.16 | 1.14 | 0.00 | 0.00 | 0.00 | 1.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.201 | 0.062 | 0.000 | 0.000 | 0.000 | 1.631 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 61 | 72 | 68 | 0 | 0 | 0 | 71 | 0 | 0 |
N.S. |
1 | 1.18 | 1.11 | 0.00 | 0.00 | 0.00 | 1.16 | 0.00 | 0.00 |
time (sec) |
N/A | 0.193 | 0.064 | 0.000 | 0.000 | 0.000 | 2.551 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 75 | 77 | 0 | 0 | 0 | 82 | 0 | 0 |
N.S. |
1 | 1.14 | 1.17 | 0.00 | 0.00 | 0.00 | 1.24 | 0.00 | 0.00 |
time (sec) |
N/A | 0.205 | 0.063 | 0.000 | 0.000 | 0.000 | 0.816 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 60 | 69 | 69 | 0 | 0 | 0 | 80 | 0 | 0 |
N.S. |
1 | 1.15 | 1.15 | 0.00 | 0.00 | 0.00 | 1.33 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.063 | 0.000 | 0.000 | 0.000 | 0.839 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 63 | 72 | 72 | 0 | 0 | 0 | 75 | 0 | 0 |
N.S. |
1 | 1.14 | 1.14 | 0.00 | 0.00 | 0.00 | 1.19 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.062 | 0.000 | 0.000 | 0.000 | 0.845 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 66 | 75 | 77 | 0 | 0 | 0 | 80 | 0 | 0 |
N.S. |
1 | 1.14 | 1.17 | 0.00 | 0.00 | 0.00 | 1.21 | 0.00 | 0.00 |
time (sec) |
N/A | 0.198 | 0.065 | 0.000 | 0.000 | 0.000 | 0.891 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | A | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 126 | 111 | 0 | 13 | 0 | 114 | 0 | 0 |
N.S. |
1 | 8.40 | 7.40 | 0.00 | 0.87 | 0.00 | 7.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.262 | 0.337 | 0.000 | 0.273 | 0.000 | 1.791 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 129 | 191 | 100 | 98 | 0 | 175 | 148 | 0 | 0 |
N.S. |
1 | 1.48 | 0.78 | 0.76 | 0.00 | 1.36 | 1.15 | 0.00 | 0.00 |
time (sec) |
N/A | 0.225 | 0.282 | 3.734 | 0.000 | 0.362 | 7.684 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 139 | 100 | 82 | 0 | 150 | 116 | 0 | 0 |
N.S. |
1 | 1.42 | 1.02 | 0.84 | 0.00 | 1.53 | 1.18 | 0.00 | 0.00 |
time (sec) |
N/A | 0.211 | 0.099 | 4.044 | 0.000 | 0.292 | 2.757 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | F | A | A | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 85 | 81 | 64 | 0 | 114 | 49 | 0 | 0 |
N.S. |
1 | 1.37 | 1.31 | 1.03 | 0.00 | 1.84 | 0.79 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.089 | 3.749 | 0.000 | 0.301 | 1.428 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 59 | 0 | 0 | 0 | 24 | 0 | 0 |
N.S. |
1 | 1.00 | 1.69 | 0.00 | 0.00 | 0.00 | 0.69 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 0.055 | 0.000 | 0.000 | 0.000 | 0.726 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 0 | 0 | 0 | 22 | 0 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.00 | 0.00 | 0.00 | 0.85 | 0.00 | 0.92 |
time (sec) |
N/A | 0.150 | 0.046 | 0.000 | 0.000 | 0.000 | 0.518 | 0.000 | 6.217 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | A | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 36 | 0 | 0 | 0 | 51 | 0 | 0 |
N.S. |
1 | 1.00 | 0.62 | 0.00 | 0.00 | 0.00 | 0.88 | 0.00 | 0.00 |
time (sec) |
N/A | 0.182 | 0.056 | 0.000 | 0.000 | 0.000 | 0.606 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 89 | 95 | 51 | 0 | 0 | 0 | 354 | 0 | 0 |
N.S. |
1 | 1.07 | 0.57 | 0.00 | 0.00 | 0.00 | 3.98 | 0.00 | 0.00 |
time (sec) |
N/A | 0.204 | 0.059 | 0.000 | 0.000 | 0.000 | 0.837 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | B | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 120 | 132 | 64 | 0 | 0 | 0 | 605 | 0 | 0 |
N.S. |
1 | 1.10 | 0.53 | 0.00 | 0.00 | 0.00 | 5.04 | 0.00 | 0.00 |
time (sec) |
N/A | 0.239 | 0.062 | 0.000 | 0.000 | 0.000 | 1.021 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 65 | 81 | 75 | 0 | 0 | 0 | 110 | 0 | 0 |
N.S. |
1 | 1.25 | 1.15 | 0.00 | 0.00 | 0.00 | 1.69 | 0.00 | 0.00 |
time (sec) |
N/A | 0.214 | 0.212 | 0.000 | 0.000 | 0.000 | 1.188 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 67 | 81 | 79 | 0 | 0 | 0 | 128 | 0 | 0 |
N.S. |
1 | 1.21 | 1.18 | 0.00 | 0.00 | 0.00 | 1.91 | 0.00 | 0.00 |
time (sec) |
N/A | 0.223 | 0.172 | 0.000 | 0.000 | 0.000 | 1.137 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | A | A | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 160 | 128 | 40 | 37 | 0 | 194 | 0 | 0 |
N.S. |
1 | 6.15 | 4.92 | 1.54 | 1.42 | 0.00 | 7.46 | 0.00 | 0.00 |
time (sec) |
N/A | 0.288 | 1.036 | 3.846 | 0.254 | 0.000 | 1.725 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | C | F | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 111 | 0 | 13 | 16 | 122 | 0 | 13 |
N.S. |
1 | 1.00 | 7.40 | 0.00 | 0.87 | 1.07 | 8.13 | 0.00 | 0.87 |
time (sec) |
N/A | 0.162 | 0.049 | 0.000 | 0.286 | 0.271 | 5.293 | 0.000 | 6.002 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | C | C | F | A | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 15 | 126 | 111 | 0 | 13 | 0 | 114 | 0 | 0 |
N.S. |
1 | 8.40 | 7.40 | 0.00 | 0.87 | 0.00 | 7.60 | 0.00 | 0.00 |
time (sec) |
N/A | 0.246 | 0.001 | 0.000 | 0.253 | 0.000 | 1.739 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | F | F(-2) | C | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 92 | 67 | 0 | 0 | 0 | 107 | 0 | 0 |
N.S. |
1 | 0.95 | 0.69 | 0.00 | 0.00 | 0.00 | 1.10 | 0.00 | 0.00 |
time (sec) |
N/A | 0.191 | 0.082 | 0.000 | 0.000 | 0.000 | 0.852 | 0.000 | 0.000 |