Detailed conclusion table per each integral is given by 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 just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 79 | 56 | 92 | 62 | 105 | 118 | 90 |
N.S. | 1 | 1.00 | 0.91 | 0.64 | 1.06 | 0.71 | 1.21 | 1.36 | 1.03 |
time (sec) |
N/A | 0.039 | 0.032 | 0.208 | 0.305 | 0.369 | 0.881 | 6.134 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 57 | 62 | 63 | 62 | 172 | 107 | 226 |
N.S. | 1 | 1.00 | 0.66 | 0.71 | 0.72 | 0.71 | 1.98 | 1.23 | 2.60 |
time (sec) |
N/A | 0.044 | 0.112 | 0.165 | 0.298 | 0.359 | 0.712 | 7.094 | 8.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 63 | 46 | 70 | 51 | 83 | 88 | 68 |
N.S. | 1 | 1.00 | 0.98 | 0.72 | 1.09 | 0.80 | 1.30 | 1.38 | 1.06 |
time (sec) |
N/A | 0.034 | 0.020 | 0.152 | 0.290 | 0.349 | 0.438 | 5.869 | 0.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 62 | 52 | 48 | 51 | 124 | 77 | 165 |
N.S. | 1 | 1.00 | 0.95 | 0.80 | 0.74 | 0.78 | 1.91 | 1.18 | 2.54 |
time (sec) |
N/A | 0.034 | 0.058 | 0.116 | 0.306 | 0.376 | 0.260 | 5.328 | 7.991 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 44 | 36 | 48 | 39 | 60 | 48 | 46 |
N.S. | 1 | 1.00 | 0.98 | 0.80 | 1.07 | 0.87 | 1.33 | 1.07 | 1.02 |
time (sec) |
N/A | 0.024 | 0.013 | 0.103 | 0.296 | 0.383 | 0.203 | 4.183 | 0.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 46 | 41 | 37 | 37 | 71 | 47 | 103 |
N.S. | 1 | 1.00 | 1.07 | 0.95 | 0.86 | 0.86 | 1.65 | 1.09 | 2.40 |
time (sec) |
N/A | 0.024 | 0.038 | 0.083 | 0.293 | 0.350 | 0.121 | 4.299 | 6.761 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 28 | 39 | 23 | 20 | 25 | 34 | 25 | 20 |
N.S. | 1 | 1.27 | 1.77 | 1.05 | 0.91 | 1.14 | 1.55 | 1.14 | 0.91 |
time (sec) |
N/A | 0.011 | 0.012 | 0.046 | 0.301 | 0.396 | 0.068 | 3.634 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 17 | 26 | 16 | 15 | 17 | 0 | 37 | 15 |
N.S. | 1 | 1.00 | 1.53 | 0.94 | 0.88 | 1.00 | 0.00 | 2.18 | 0.88 |
time (sec) |
N/A | 0.013 | 0.013 | 0.068 | 0.303 | 0.360 | 0.000 | 4.060 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 23 | 24 | 23 | 40 | 0 | 19 | 19 |
N.S. | 1 | 1.00 | 1.00 | 1.04 | 1.00 | 1.74 | 0.00 | 0.83 | 0.83 |
time (sec) |
N/A | 0.022 | 0.013 | 0.072 | 0.308 | 0.340 | 0.000 | 3.703 | 4.688 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 52 | 50 | 42 | 67 | 0 | 54 | 30 |
N.S. | 1 | 1.00 | 1.33 | 1.28 | 1.08 | 1.72 | 0.00 | 1.38 | 0.77 |
time (sec) |
N/A | 0.031 | 0.016 | 0.105 | 0.298 | 0.357 | 0.000 | 5.115 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 44 | 44 | 41 | 38 | 35 | 52 | 0 | 66 | 63 |
N.S. | 1 | 1.00 | 0.93 | 0.86 | 0.80 | 1.18 | 0.00 | 1.50 | 1.43 |
time (sec) |
N/A | 0.025 | 0.050 | 0.121 | 0.295 | 0.328 | 0.000 | 8.464 | 4.604 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 84 | 84 | 68 | 63 | 86 | 136 | 0 | 92 | 71 |
N.S. | 1 | 1.00 | 0.81 | 0.75 | 1.02 | 1.62 | 0.00 | 1.10 | 0.85 |
time (sec) |
N/A | 0.045 | 0.060 | 0.151 | 0.304 | 0.374 | 0.000 | 6.166 | 4.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 171 | 129 | 115 | 85 | 398 | 123 | 461 |
N.S. | 1 | 1.00 | 1.36 | 1.02 | 0.91 | 0.67 | 3.16 | 0.98 | 3.66 |
time (sec) |
N/A | 0.072 | 0.976 | 0.271 | 0.310 | 0.365 | 0.993 | 5.473 | 6.916 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 58 | 99 | 95 | 71 | 158 | 117 | 92 |
N.S. | 1 | 1.00 | 0.87 | 1.48 | 1.42 | 1.06 | 2.36 | 1.75 | 1.37 |
time (sec) |
N/A | 0.042 | 0.050 | 0.210 | 0.334 | 0.369 | 0.658 | 4.284 | 4.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 102 | 102 | 151 | 109 | 89 | 72 | 287 | 106 | 349 |
N.S. | 1 | 1.00 | 1.48 | 1.07 | 0.87 | 0.71 | 2.81 | 1.04 | 3.42 |
time (sec) |
N/A | 0.060 | 0.353 | 0.194 | 0.297 | 0.373 | 0.433 | 4.535 | 6.792 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 46 | 79 | 56 | 58 | 107 | 56 | 53 |
N.S. | 1 | 1.00 | 1.02 | 1.76 | 1.24 | 1.29 | 2.38 | 1.24 | 1.18 |
time (sec) |
N/A | 0.031 | 0.060 | 0.176 | 0.293 | 0.352 | 0.262 | 7.269 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 131 | 87 | 65 | 59 | 180 | 72 | 237 |
N.S. | 1 | 1.00 | 1.68 | 1.12 | 0.83 | 0.76 | 2.31 | 0.92 | 3.04 |
time (sec) |
N/A | 0.051 | 0.196 | 0.134 | 0.306 | 0.353 | 0.192 | 5.859 | 6.708 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 37 | 21 | 20 | 44 | 53 | 20 | 32 |
N.S. | 1 | 1.00 | 1.68 | 0.95 | 0.91 | 2.00 | 2.41 | 0.91 | 1.45 |
time (sec) |
N/A | 0.017 | 0.123 | 0.082 | 0.290 | 0.359 | 0.125 | 3.746 | 4.545 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 29 | 63 | 30 | 32 | 0 | 91 | 26 |
N.S. | 1 | 1.00 | 0.85 | 1.85 | 0.88 | 0.94 | 0.00 | 2.68 | 0.76 |
time (sec) |
N/A | 0.026 | 0.015 | 0.121 | 0.331 | 0.387 | 0.000 | 3.611 | 0.054 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 75 | 47 | 47 | 74 | 0 | 33 | 28 |
N.S. | 1 | 1.00 | 1.97 | 1.24 | 1.24 | 1.95 | 0.00 | 0.87 | 0.74 |
time (sec) |
N/A | 0.053 | 0.041 | 0.112 | 0.524 | 0.355 | 0.000 | 4.844 | 4.561 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 32 | 100 | 18 | 19 | 0 | 30 | 18 |
N.S. | 1 | 1.00 | 1.60 | 5.00 | 0.90 | 0.95 | 0.00 | 1.50 | 0.90 |
time (sec) |
N/A | 0.026 | 0.088 | 0.152 | 0.375 | 0.339 | 0.000 | 6.195 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 58 | 63 | 52 | 97 | 0 | 54 | 81 |
N.S. | 1 | 1.00 | 0.92 | 1.00 | 0.83 | 1.54 | 0.00 | 0.86 | 1.29 |
time (sec) |
N/A | 0.048 | 0.007 | 0.168 | 0.304 | 0.351 | 0.000 | 5.874 | 4.558 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 56 | 132 | 71 | 125 | 0 | 77 | 58 |
N.S. | 1 | 1.00 | 0.88 | 2.06 | 1.11 | 1.95 | 0.00 | 1.20 | 0.91 |
time (sec) |
N/A | 0.045 | 0.045 | 0.185 | 0.294 | 0.373 | 0.000 | 5.064 | 4.466 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 64 | 64 | 82 | 93 | 77 | 85 | 0 | 106 | 156 |
N.S. |
1 | 1.00 | 1.28 | 1.45 | 1.20 | 1.33 | 0.00 | 1.66 | 2.44 |
time (sec) |
N/A | 0.039 | 0.008 | 0.216 | 0.307 | 0.343 | 0.000 | 3.976 | 4.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 85 | 160 | 108 | 203 | 0 | 119 | 94 |
N.S. |
1 | 1.00 | 0.78 | 1.47 | 0.99 | 1.86 | 0.00 | 1.09 | 0.86 |
time (sec) |
N/A | 0.063 | 0.100 | 0.269 | 0.312 | 0.367 | 0.000 | 5.427 | 4.338 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 110 | 121 | 98 | 115 | 0 | 171 | 276 |
N.S. |
1 | 1.00 | 1.34 | 1.48 | 1.20 | 1.40 | 0.00 | 2.09 | 3.37 |
time (sec) |
N/A | 0.040 | 0.017 | 0.214 | 0.313 | 0.338 | 0.000 | 5.552 | 5.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 154 | 154 | 181 | 163 | 141 | 98 | 439 | 157 | 501 |
N.S. | 1 | 1.00 | 1.18 | 1.06 | 0.92 | 0.64 | 2.85 | 1.02 | 3.25 |
time (sec) |
N/A | 0.107 | 1.251 | 0.364 | 0.309 | 0.378 | 1.427 | 6.831 | 6.806 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 58 | 133 | 108 | 85 | 196 | 134 | 106 |
N.S. | 1 | 1.00 | 0.87 | 1.99 | 1.61 | 1.27 | 2.93 | 2.00 | 1.58 |
time (sec) |
N/A | 0.043 | 0.063 | 0.323 | 0.289 | 0.357 | 0.957 | 6.184 | 4.539 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 161 | 143 | 115 | 85 | 335 | 123 | 389 |
N.S. | 1 | 1.00 | 1.24 | 1.10 | 0.88 | 0.65 | 2.58 | 0.95 | 2.99 |
time (sec) |
N/A | 0.090 | 0.500 | 0.233 | 0.303 | 0.371 | 0.683 | 3.975 | 6.711 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 43 | 113 | 82 | 72 | 146 | 82 | 80 |
N.S. | 1 | 1.00 | 0.96 | 2.51 | 1.82 | 1.60 | 3.24 | 1.82 | 1.78 |
time (sec) |
N/A | 0.029 | 0.097 | 0.209 | 0.318 | 0.357 | 0.426 | 3.719 | 4.472 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 141 | 121 | 91 | 72 | 226 | 89 | 277 |
N.S. | 1 | 1.00 | 1.33 | 1.14 | 0.86 | 0.68 | 2.13 | 0.84 | 2.61 |
time (sec) |
N/A | 0.078 | 0.268 | 0.170 | 0.391 | 0.347 | 0.368 | 4.170 | 6.532 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 47 | 21 | 20 | 57 | 70 | 20 | 53 |
N.S. | 1 | 1.00 | 2.14 | 0.95 | 0.91 | 2.59 | 3.18 | 0.91 | 2.41 |
time (sec) |
N/A | 0.016 | 0.273 | 0.114 | 0.287 | 0.355 | 0.170 | 5.672 | 0.056 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 41 | 88 | 43 | 45 | 0 | 128 | 36 |
N.S. | 1 | 1.00 | 0.79 | 1.69 | 0.83 | 0.87 | 0.00 | 2.46 | 0.69 |
time (sec) |
N/A | 0.028 | 0.021 | 0.128 | 0.294 | 0.362 | 0.000 | 6.238 | 0.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 55 | 87 | 68 | 101 | 0 | 91 | 138 |
N.S. | 1 | 1.00 | 1.10 | 1.74 | 1.36 | 2.02 | 0.00 | 1.82 | 2.76 |
time (sec) |
N/A | 0.087 | 0.025 | 0.135 | 0.537 | 0.369 | 0.000 | 5.608 | 4.776 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 59 | 124 | 33 | 51 | 0 | 92 | 35 |
N.S. | 1 | 1.00 | 1.48 | 3.10 | 0.82 | 1.28 | 0.00 | 2.30 | 0.88 |
time (sec) |
N/A | 0.033 | 0.031 | 0.168 | 0.299 | 0.364 | 0.000 | 3.140 | 4.521 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 28 | 120 | 78 | 99 | 0 | 38 | 55 |
N.S. | 1 | 1.00 | 0.90 | 3.87 | 2.52 | 3.19 | 0.00 | 1.23 | 1.77 |
time (sec) |
N/A | 0.055 | 0.019 | 0.201 | 0.338 | 0.358 | 0.000 | 4.744 | 4.592 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 35 | 154 | 28 | 30 | 0 | 63 | 18 |
N.S. |
1 | 1.00 | 1.52 | 6.70 | 1.22 | 1.30 | 0.00 | 2.74 | 0.78 |
time (sec) |
N/A | 0.026 | 0.149 | 0.198 | 0.313 | 0.342 | 0.000 | 4.612 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 110 | 171 | 103 | 149 | 0 | 86 | 135 |
N.S. |
1 | 1.00 | 1.20 | 1.86 | 1.12 | 1.62 | 0.00 | 0.93 | 1.47 |
time (sec) |
N/A | 0.062 | 0.010 | 0.200 | 0.416 | 0.360 | 0.000 | 7.260 | 4.694 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 67 | 202 | 96 | 185 | 0 | 90 | 81 |
N.S. |
1 | 1.00 | 0.77 | 2.32 | 1.10 | 2.13 | 0.00 | 1.03 | 0.93 |
time (sec) |
N/A | 0.052 | 0.072 | 0.181 | 0.315 | 0.374 | 0.000 | 6.328 | 4.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 134 | 217 | 122 | 112 | 0 | 138 | 228 |
N.S. |
1 | 1.00 | 1.35 | 2.19 | 1.23 | 1.13 | 0.00 | 1.39 | 2.30 |
time (sec) |
N/A | 0.060 | 0.009 | 0.186 | 0.308 | 0.384 | 0.000 | 4.502 | 4.865 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 67 | 67 | 58 | 513 | 173 | 149 | 558 | 219 | 134 |
N.S. | 1 | 1.00 | 0.87 | 7.66 | 2.58 | 2.22 | 8.33 | 3.27 | 2.00 |
time (sec) |
N/A | 0.056 | 0.266 | 1.237 | 0.309 | 0.396 | 5.463 | 2.912 | 0.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 211 | 535 | 339 | 150 | 1280 | 208 | 684 |
N.S. | 1 | 1.00 | 0.74 | 1.87 | 1.19 | 0.52 | 4.48 | 0.73 | 2.39 |
time (sec) |
N/A | 0.281 | 1.981 | 0.934 | 0.315 | 0.420 | 4.036 | 5.146 | 7.051 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 43 | 463 | 134 | 136 | 422 | 134 | 132 |
N.S. | 1 | 1.00 | 0.96 | 10.29 | 2.98 | 3.02 | 9.38 | 2.98 | 2.93 |
time (sec) |
N/A | 0.032 | 0.658 | 0.688 | 0.316 | 0.391 | 2.837 | 6.633 | 0.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 191 | 480 | 319 | 137 | 1018 | 174 | 572 |
N.S. | 1 | 1.00 | 0.73 | 1.83 | 1.22 | 0.52 | 3.89 | 0.66 | 2.18 |
time (sec) |
N/A | 0.253 | 0.908 | 0.493 | 0.318 | 0.404 | 2.124 | 5.697 | 7.258 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 97 | 21 | 20 | 122 | 148 | 20 | 118 |
N.S. | 1 | 1.00 | 4.41 | 0.95 | 0.91 | 5.55 | 6.73 | 0.91 | 5.36 |
time (sec) |
N/A | 0.017 | 0.847 | 0.336 | 0.312 | 0.357 | 1.371 | 5.064 | 4.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 95 | 312 | 109 | 114 | 0 | 288 | 109 |
N.S. |
1 | 1.00 | 0.59 | 1.93 | 0.67 | 0.70 | 0.00 | 1.78 | 0.67 |
time (sec) |
N/A | 0.053 | 0.118 | 0.220 | 0.313 | 0.375 | 0.000 | 4.955 | 4.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 55 | 389 | 331 | 231 | 0 | 231 | 513 |
N.S. |
1 | 1.00 | 0.27 | 1.94 | 1.65 | 1.15 | 0.00 | 1.15 | 2.55 |
time (sec) |
N/A | 0.237 | 0.041 | 0.129 | 0.538 | 0.362 | 0.000 | 4.492 | 8.733 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 111 | 442 | 97 | 130 | 0 | 275 | 97 |
N.S. |
1 | 1.00 | 0.92 | 3.65 | 0.80 | 1.07 | 0.00 | 2.27 | 0.80 |
time (sec) |
N/A | 0.062 | 0.176 | 0.206 | 0.293 | 0.381 | 0.000 | 5.321 | 4.623 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | A | A | F(-2) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 179 | 179 | 59 | 478 | 311 | 247 | 0 | 200 | 437 |
N.S. |
1 | 1.00 | 0.33 | 2.67 | 1.74 | 1.38 | 0.00 | 1.12 | 2.44 |
time (sec) |
N/A | 0.214 | 0.036 | 0.202 | 0.528 | 0.382 | 0.000 | 6.880 | 9.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 73 | 527 | 95 | 139 | 0 | 243 | 96 |
N.S. |
1 | 1.00 | 0.66 | 4.79 | 0.86 | 1.26 | 0.00 | 2.21 | 0.87 |
time (sec) |
N/A | 0.063 | 0.295 | 0.205 | 0.313 | 0.391 | 0.000 | 6.204 | 4.602 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 141 | 114 | 258 | 50 | 1355 | 114 | 107 |
N.S. | 1 | 1.00 | 1.93 | 1.56 | 3.53 | 0.68 | 18.56 | 1.56 | 1.47 |
time (sec) |
N/A | 0.047 | 0.505 | 0.178 | 0.551 | 0.368 | 15.820 | 6.435 | 8.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 46 | 45 | 47 | 37 | 530 | 47 | 54 |
N.S. | 1 | 1.00 | 0.98 | 0.96 | 1.00 | 0.79 | 11.28 | 1.00 | 1.15 |
time (sec) |
N/A | 0.039 | 0.069 | 0.164 | 0.339 | 0.369 | 8.699 | 3.665 | 4.660 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 119 | 75 | 156 | 37 | 558 | 75 | 66 |
N.S. | 1 | 1.00 | 2.43 | 1.53 | 3.18 | 0.76 | 11.39 | 1.53 | 1.35 |
time (sec) |
N/A | 0.037 | 0.214 | 0.134 | 0.700 | 0.394 | 4.859 | 4.838 | 6.874 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 24 | 28 | 25 | 25 | 158 | 25 | 22 |
N.S. | 1 | 1.00 | 0.75 | 0.88 | 0.78 | 0.78 | 4.94 | 0.78 | 0.69 |
time (sec) |
N/A | 0.030 | 0.027 | 0.000 | 0.409 | 0.414 | 2.329 | 5.065 | 4.488 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 97 | 35 | 52 | 17 | 88 | 34 | 29 |
N.S. | 1 | 1.00 | 5.11 | 1.84 | 2.74 | 0.89 | 4.63 | 1.79 | 1.53 |
time (sec) |
N/A | 0.027 | 0.083 | 0.091 | 0.556 | 0.351 | 1.250 | 4.703 | 4.532 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 19 | 18 | 16 | 24 | 19 | 16 |
N.S. | 1 | 1.00 | 1.00 | 1.19 | 1.12 | 1.00 | 1.50 | 1.19 | 1.00 |
time (sec) |
N/A | 0.017 | 0.009 | 0.000 | 0.305 | 0.369 | 0.264 | 6.500 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 30 | 43 | 47 | 58 | 0 | 58 | 33 |
N.S. | 1 | 1.00 | 0.81 | 1.16 | 1.27 | 1.57 | 0.00 | 1.57 | 0.89 |
time (sec) |
N/A | 0.037 | 0.028 | 0.000 | 0.309 | 0.355 | 0.000 | 5.427 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 45 | 70 | 129 | 49 | 0 | 67 | 71 |
N.S. | 1 | 1.00 | 1.07 | 1.67 | 3.07 | 1.17 | 0.00 | 1.60 | 1.69 |
time (sec) |
N/A | 0.036 | 0.040 | 0.105 | 0.305 | 0.349 | 0.000 | 5.496 | 4.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 75 | 67 | 91 | 125 | 0 | 96 | 74 |
N.S. | 1 | 1.00 | 0.97 | 0.87 | 1.18 | 1.62 | 0.00 | 1.25 | 0.96 |
time (sec) |
N/A | 0.054 | 0.070 | 0.152 | 0.303 | 0.369 | 0.000 | 3.858 | 4.656 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 66 | 130 | 294 | 75 | 0 | 119 | 125 |
N.S. | 1 | 1.00 | 1.06 | 2.10 | 4.74 | 1.21 | 0.00 | 1.92 | 2.02 |
time (sec) |
N/A | 0.041 | 0.069 | 0.180 | 0.357 | 0.362 | 0.000 | 6.207 | 5.941 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 97 | 91 | 130 | 147 | 0 | 116 | 115 |
N.S. | 1 | 1.00 | 0.81 | 0.76 | 1.08 | 1.22 | 0.00 | 0.97 | 0.96 |
time (sec) |
N/A | 0.075 | 0.105 | 0.227 | 0.511 | 0.361 | 0.000 | 6.792 | 0.142 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 151 | 181 | 393 | 60 | 2531 | 179 | 172 |
N.S. | 1 | 1.00 | 1.45 | 1.74 | 3.78 | 0.58 | 24.34 | 1.72 | 1.65 |
time (sec) |
N/A | 0.079 | 0.737 | 0.156 | 0.853 | 0.358 | 78.335 | 6.888 | 8.223 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 46 | 45 | 47 | 47 | 1037 | 47 | 54 |
N.S. | 1 | 1.00 | 0.98 | 0.96 | 1.00 | 1.00 | 22.06 | 1.00 | 1.15 |
time (sec) |
N/A | 0.035 | 0.109 | 0.276 | 0.384 | 0.355 | 45.756 | 4.871 | 4.662 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 131 | 129 | 267 | 50 | 1243 | 127 | 65 |
N.S. | 1 | 1.00 | 1.64 | 1.61 | 3.34 | 0.62 | 15.54 | 1.59 | 0.81 |
time (sec) |
N/A | 0.066 | 0.327 | 0.232 | 0.525 | 0.368 | 29.084 | 5.009 | 4.746 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 39 | 19 | 35 | 37 | 394 | 35 | 32 |
N.S. | 1 | 1.00 | 1.70 | 0.83 | 1.52 | 1.61 | 17.13 | 1.52 | 1.39 |
time (sec) |
N/A | 0.028 | 0.088 | 0.197 | 0.290 | 0.351 | 16.906 | 5.245 | 4.610 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 56 | 56 | 109 | 77 | 140 | 35 | 403 | 73 | 32 |
N.S. | 1 | 1.00 | 1.95 | 1.38 | 2.50 | 0.62 | 7.20 | 1.30 | 0.57 |
time (sec) |
N/A | 0.055 | 0.116 | 0.201 | 0.503 | 0.349 | 9.436 | 6.030 | 4.653 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 26 | 28 | 30 | 27 | 150 | 54 | 27 |
N.S. | 1 | 1.00 | 0.81 | 0.88 | 0.94 | 0.84 | 4.69 | 1.69 | 0.84 |
time (sec) |
N/A | 0.032 | 0.022 | 0.187 | 0.285 | 0.344 | 0.534 | 8.025 | 0.060 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 34 | 34 | 104 | 37 | 56 | 61 | 95 | 33 | 28 |
N.S. | 1 | 1.00 | 3.06 | 1.09 | 1.65 | 1.79 | 2.79 | 0.97 | 0.82 |
time (sec) |
N/A | 0.026 | 0.113 | 0.198 | 0.530 | 0.370 | 2.671 | 7.748 | 4.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 31 | 21 | 20 | 21 | 32 | 20 | 18 |
N.S. | 1 | 1.00 | 1.48 | 1.00 | 0.95 | 1.00 | 1.52 | 0.95 | 0.86 |
time (sec) |
N/A | 0.017 | 0.045 | 0.102 | 0.299 | 0.332 | 0.550 | 5.481 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 38 | 55 | 72 | 105 | 0 | 71 | 60 |
N.S. | 1 | 1.00 | 0.63 | 0.92 | 1.20 | 1.75 | 0.00 | 1.18 | 1.00 |
time (sec) |
N/A | 0.039 | 0.065 | 0.214 | 0.304 | 0.366 | 0.000 | 6.296 | 4.519 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 53 | 98 | 204 | 79 | 0 | 93 | 156 |
N.S. | 1 | 1.00 | 0.75 | 1.38 | 2.87 | 1.11 | 0.00 | 1.31 | 2.20 |
time (sec) |
N/A | 0.064 | 0.053 | 0.174 | 0.304 | 0.345 | 0.000 | 5.943 | 4.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 85 | 79 | 108 | 178 | 0 | 106 | 93 |
N.S. | 1 | 1.00 | 0.82 | 0.76 | 1.04 | 1.71 | 0.00 | 1.02 | 0.89 |
time (sec) |
N/A | 0.058 | 0.078 | 0.236 | 0.299 | 0.353 | 0.000 | 3.665 | 0.103 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 93 | 93 | 78 | 158 | 396 | 103 | 0 | 145 | 276 |
N.S. | 1 | 1.00 | 0.84 | 1.70 | 4.26 | 1.11 | 0.00 | 1.56 | 2.97 |
time (sec) |
N/A | 0.069 | 0.044 | 0.253 | 0.323 | 0.344 | 0.000 | 7.247 | 5.184 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 137 | 103 | 167 | 198 | 0 | 126 | 151 |
N.S. | 1 | 1.00 | 0.94 | 0.71 | 1.14 | 1.36 | 0.00 | 0.86 | 1.03 |
time (sec) |
N/A | 0.081 | 0.213 | 0.340 | 0.305 | 0.422 | 0.000 | 6.554 | 0.186 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 141 | 142 | 310 | 60 | 1717 | 140 | 81 |
N.S. | 1 | 1.00 | 1.37 | 1.38 | 3.01 | 0.58 | 16.67 | 1.36 | 0.79 |
time (sec) |
N/A | 0.079 | 0.671 | 0.149 | 0.537 | 0.403 | 120.347 | 6.943 | 4.721 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 23 | 23 | 48 | 19 | 45 | 45 | 654 | 45 | 53 |
N.S. | 1 | 1.00 | 2.09 | 0.83 | 1.96 | 1.96 | 28.43 | 1.96 | 2.30 |
time (sec) |
N/A | 0.028 | 0.216 | 0.131 | 0.295 | 0.379 | 75.625 | 5.785 | 4.548 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 121 | 90 | 184 | 45 | 690 | 88 | 57 |
N.S. | 1 | 1.00 | 1.57 | 1.17 | 2.39 | 0.58 | 8.96 | 1.14 | 0.74 |
time (sec) |
N/A | 0.067 | 0.311 | 0.280 | 0.510 | 0.348 | 48.296 | 5.829 | 4.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 50 | 50 | 38 | 38 | 41 | 36 | 564 | 115 | 36 |
N.S. | 1 | 1.00 | 0.76 | 0.76 | 0.82 | 0.72 | 11.28 | 2.30 | 0.72 |
time (sec) |
N/A | 0.034 | 0.034 | 0.264 | 0.281 | 0.358 | 27.727 | 7.699 | 4.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 59 | 54 | 139 | 78 | 478 | 80 | 69 |
N.S. | 1 | 1.00 | 1.20 | 1.10 | 2.84 | 1.59 | 9.76 | 1.63 | 1.41 |
time (sec) |
N/A | 0.055 | 0.027 | 0.252 | 0.506 | 0.333 | 16.447 | 6.446 | 4.852 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 58 | 32 | 37 | 41 | 299 | 35 | 36 |
N.S. | 1 | 1.00 | 1.49 | 0.82 | 0.95 | 1.05 | 7.67 | 0.90 | 0.92 |
time (sec) |
N/A | 0.035 | 0.043 | 0.207 | 0.295 | 0.358 | 0.612 | 6.262 | 4.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 28 | 55 | 99 | 95 | 153 | 36 | 53 |
N.S. | 1 | 1.00 | 1.04 | 2.04 | 3.67 | 3.52 | 5.67 | 1.33 | 1.96 |
time (sec) |
N/A | 0.028 | 0.014 | 0.211 | 0.277 | 0.352 | 5.091 | 5.901 | 4.580 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 33 | 21 | 20 | 36 | 51 | 20 | 18 |
N.S. | 1 | 1.00 | 1.50 | 0.95 | 0.91 | 1.64 | 2.32 | 0.91 | 0.82 |
time (sec) |
N/A | 0.017 | 0.042 | 0.112 | 0.291 | 0.338 | 0.583 | 6.337 | 4.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 61 | 67 | 98 | 154 | 0 | 81 | 83 |
N.S. | 1 | 1.00 | 0.74 | 0.82 | 1.20 | 1.88 | 0.00 | 0.99 | 1.01 |
time (sec) |
N/A | 0.043 | 0.057 | 0.224 | 0.277 | 0.344 | 0.000 | 5.515 | 4.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 63 | 130 | 310 | 106 | 0 | 119 | 228 |
N.S. | 1 | 1.00 | 0.64 | 1.31 | 3.13 | 1.07 | 0.00 | 1.20 | 2.30 |
time (sec) |
N/A | 0.094 | 0.066 | 0.218 | 0.295 | 0.344 | 0.000 | 6.532 | 5.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 95 | 91 | 146 | 228 | 0 | 116 | 129 |
N.S. | 1 | 1.00 | 0.75 | 0.72 | 1.16 | 1.81 | 0.00 | 0.92 | 1.02 |
time (sec) |
N/A | 0.070 | 0.105 | 0.322 | 0.285 | 0.383 | 0.000 | 8.380 | 0.149 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 85 | 190 | 482 | 130 | 0 | 171 | 167 |
N.S. | 1 | 1.00 | 0.69 | 1.54 | 3.92 | 1.06 | 0.00 | 1.39 | 1.36 |
time (sec) |
N/A | 0.103 | 0.078 | 0.328 | 0.299 | 0.349 | 0.000 | 5.145 | 5.563 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 171 | 171 | 145 | 115 | 188 | 248 | 0 | 136 | 173 |
N.S. | 1 | 1.00 | 0.85 | 0.67 | 1.10 | 1.45 | 0.00 | 0.80 | 1.01 |
time (sec) |
N/A | 0.092 | 0.301 | 0.406 | 0.301 | 0.392 | 0.000 | 4.532 | 4.765 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | A | B | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 275 | 110 | 295 | 244 | 0 | 99 | 91 |
N.S. |
1 | 1.00 | 2.17 | 0.87 | 2.32 | 1.92 | 0.00 | 0.78 | 0.72 |
time (sec) |
N/A | 0.125 | 6.062 | 0.200 | 0.531 | 0.361 | 0.000 | 7.133 | 7.770 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 28 | 55 | 74 | 82 | 2006 | 68 | 64 |
N.S. | 1 | 1.00 | 0.78 | 1.53 | 2.06 | 2.28 | 55.72 | 1.89 | 1.78 |
time (sec) |
N/A | 0.031 | 0.050 | 0.186 | 0.284 | 0.347 | 14.553 | 7.005 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 58 | 58 | 36 | 145 | 375 | 239 | 0 | 125 | 118 |
N.S. |
1 | 1.00 | 0.62 | 2.50 | 6.47 | 4.12 | 0.00 | 2.16 | 2.03 |
time (sec) |
N/A | 0.058 | 0.057 | 0.215 | 0.316 | 0.337 | 0.000 | 7.323 | 6.628 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 58 | 43 | 93 | 100 | 1120 | 137 | 54 |
N.S. | 1 | 1.00 | 0.89 | 0.66 | 1.43 | 1.54 | 17.23 | 2.11 | 0.83 |
time (sec) |
N/A | 0.043 | 0.080 | 0.217 | 0.317 | 0.358 | 14.305 | 6.565 | 4.712 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 58 | 175 | 461 | 291 | 2470 | 151 | 140 |
N.S. | 1 | 1.00 | 0.49 | 1.48 | 3.91 | 2.47 | 20.93 | 1.28 | 1.19 |
time (sec) |
N/A | 0.120 | 0.054 | 0.250 | 0.328 | 0.376 | 201.182 | 6.195 | 7.148 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 45 | 45 | 43 | 33 | 96 | 105 | 493 | 28 | 28 |
N.S. | 1 | 1.00 | 0.96 | 0.73 | 2.13 | 2.33 | 10.96 | 0.62 | 0.62 |
time (sec) |
N/A | 0.036 | 0.113 | 0.233 | 0.281 | 0.353 | 14.506 | 5.486 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 78 | 205 | 547 | 339 | 3405 | 177 | 162 |
N.S. | 1 | 1.00 | 0.43 | 1.12 | 2.99 | 1.85 | 18.61 | 0.97 | 0.89 |
time (sec) |
N/A | 0.183 | 0.085 | 0.259 | 0.312 | 0.376 | 106.177 | 4.827 | 8.117 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 22 | 22 | 33 | 21 | 20 | 108 | 128 | 20 | 18 |
N.S. | 1 | 1.00 | 1.50 | 0.95 | 0.91 | 4.91 | 5.82 | 0.91 | 0.82 |
time (sec) |
N/A | 0.018 | 0.151 | 0.286 | 0.284 | 0.345 | 14.202 | 6.679 | 4.668 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 122 | 127 | 213 | 374 | 0 | 131 | 198 |
N.S. |
1 | 1.00 | 0.63 | 0.65 | 1.10 | 1.93 | 0.00 | 0.68 | 1.02 |
time (sec) |
N/A | 0.082 | 0.473 | 0.506 | 0.302 | 0.399 | 0.000 | 6.870 | 0.303 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 113 | 280 | 740 | 225 | 0 | 249 | 233 |
N.S. |
1 | 1.00 | 0.46 | 1.14 | 3.02 | 0.92 | 0.00 | 1.02 | 0.95 |
time (sec) |
N/A | 0.285 | 0.218 | 0.249 | 0.351 | 0.359 | 0.000 | 7.840 | 8.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 238 | 238 | 175 | 151 | 248 | 446 | 0 | 166 | 231 |
N.S. |
1 | 1.00 | 0.74 | 0.63 | 1.04 | 1.87 | 0.00 | 0.70 | 0.97 |
time (sec) |
N/A | 0.124 | 0.985 | 0.382 | 0.302 | 0.380 | 0.000 | 4.675 | 0.489 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 125 | 340 | 866 | 249 | 0 | 301 | 277 |
N.S. |
1 | 1.00 | 0.45 | 1.22 | 3.10 | 0.89 | 0.00 | 1.08 | 0.99 |
time (sec) |
N/A | 0.302 | 0.270 | 0.339 | 0.406 | 0.377 | 0.000 | 4.769 | 9.231 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 195 | 175 | 305 | 466 | 0 | 186 | 290 |
N.S. |
1 | 1.00 | 0.69 | 0.62 | 1.07 | 1.64 | 0.00 | 0.65 | 1.02 |
time (sec) |
N/A | 0.156 | 1.571 | 0.411 | 0.309 | 0.418 | 0.000 | 4.879 | 0.798 |