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 | 92 | 92 | 133 | 82 | 75 | 80 | 199 | 93 | 74 |
N.S. |
1 | 1.00 | 1.45 | 0.89 | 0.82 | 0.87 | 2.16 | 1.01 | 0.80 |
time (sec) |
N/A | 0.081 | 0.038 | 4.380 | 0.253 | 0.272 | 0.915 | 0.286 | 0.818 |
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 | 72 | 72 | 101 | 66 | 60 | 63 | 151 | 76 | 59 |
N.S. |
1 | 1.00 | 1.40 | 0.92 | 0.83 | 0.88 | 2.10 | 1.06 | 0.82 |
time (sec) |
N/A | 0.065 | 0.030 | 3.784 | 0.255 | 0.264 | 0.479 | 0.281 | 0.717 |
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 | 50 | 50 | 71 | 49 | 43 | 45 | 105 | 57 | 43 |
N.S. |
1 | 1.00 | 1.42 | 0.98 | 0.86 | 0.90 | 2.10 | 1.14 | 0.86 |
time (sec) |
N/A | 0.055 | 0.016 | 4.303 | 0.234 | 0.249 | 0.217 | 0.281 | 0.703 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 30 | 30 | 50 | 31 | 34 | 28 | 56 | 34 | 28 |
N.S. |
1 | 1.00 | 1.67 | 1.03 | 1.13 | 0.93 | 1.87 | 1.13 | 0.93 |
time (sec) |
N/A | 0.028 | 0.028 | 2.498 | 0.261 | 0.251 | 0.115 | 0.278 | 0.046 |
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 | 24 | 24 | 35 | 30 | 38 | 40 | 0 | 40 | 22 |
N.S. |
1 | 1.00 | 1.46 | 1.25 | 1.58 | 1.67 | 0.00 | 1.67 | 0.92 |
time (sec) |
N/A | 0.028 | 0.028 | 1.870 | 0.297 | 0.264 | 0.000 | 0.281 | 0.066 |
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 | 40 | 40 | 48 | 55 | 58 | 72 | 0 | 60 | 41 |
N.S. |
1 | 1.00 | 1.20 | 1.38 | 1.45 | 1.80 | 0.00 | 1.50 | 1.02 |
time (sec) |
N/A | 0.035 | 0.024 | 3.579 | 0.232 | 0.258 | 0.000 | 0.299 | 0.101 |
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 | 70 | 70 | 93 | 85 | 97 | 95 | 0 | 98 | 77 |
N.S. |
1 | 1.00 | 1.33 | 1.21 | 1.39 | 1.36 | 0.00 | 1.40 | 1.10 |
time (sec) |
N/A | 0.056 | 0.015 | 4.240 | 0.229 | 0.264 | 0.000 | 0.291 | 0.786 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 137 | 108 | 126 | 114 | 0 | 121 | 102 |
N.S. |
1 | 1.00 | 1.40 | 1.10 | 1.29 | 1.16 | 0.00 | 1.23 | 1.04 |
time (sec) |
N/A | 0.074 | 0.024 | 4.073 | 0.248 | 0.267 | 0.000 | 0.301 | 0.843 |
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 | 117 | 117 | 93 | 79 | 130 | 85 | 354 | 87 | 119 |
N.S. |
1 | 1.00 | 0.79 | 0.68 | 1.11 | 0.73 | 3.03 | 0.74 | 1.02 |
time (sec) |
N/A | 0.082 | 0.191 | 3.957 | 0.333 | 0.259 | 0.716 | 0.291 | 2.305 |
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 | 89 | 89 | 68 | 61 | 103 | 68 | 258 | 68 | 91 |
N.S. |
1 | 1.00 | 0.76 | 0.69 | 1.16 | 0.76 | 2.90 | 0.76 | 1.02 |
time (sec) |
N/A | 0.061 | 0.118 | 3.546 | 0.382 | 0.258 | 0.375 | 0.281 | 1.321 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 61 | 61 | 45 | 44 | 73 | 49 | 158 | 43 | 67 |
N.S. |
1 | 1.00 | 0.74 | 0.72 | 1.20 | 0.80 | 2.59 | 0.70 | 1.10 |
time (sec) |
N/A | 0.046 | 0.105 | 2.319 | 0.301 | 0.256 | 0.167 | 0.280 | 0.967 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | B | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 15 | 15 | 15 | 21 | 20 | 31 | 0 | 20 | 17 |
N.S. |
1 | 1.00 | 1.00 | 1.40 | 1.33 | 2.07 | 0.00 | 1.33 | 1.13 |
time (sec) |
N/A | 0.029 | 0.008 | 2.784 | 0.318 | 0.248 | 0.000 | 0.285 | 0.832 |
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 | 43 | 43 | 36 | 35 | 27 | 37 | 0 | 34 | 28 |
N.S. |
1 | 1.00 | 0.84 | 0.81 | 0.63 | 0.86 | 0.00 | 0.79 | 0.65 |
time (sec) |
N/A | 0.044 | 0.070 | 4.168 | 0.249 | 0.232 | 0.000 | 0.286 | 0.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 65 | 65 | 61 | 58 | 43 | 56 | 0 | 57 | 42 |
N.S. |
1 | 1.00 | 0.94 | 0.89 | 0.66 | 0.86 | 0.00 | 0.88 | 0.65 |
time (sec) |
N/A | 0.047 | 0.150 | 4.928 | 0.246 | 0.243 | 0.000 | 0.284 | 0.750 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 81 | 78 | 60 | 74 | 0 | 79 | 56 |
N.S. |
1 | 1.00 | 0.93 | 0.90 | 0.69 | 0.85 | 0.00 | 0.91 | 0.64 |
time (sec) |
N/A | 0.058 | 0.217 | 4.378 | 0.216 | 0.238 | 0.000 | 0.291 | 0.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 88 | 324 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.87 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.097 | 0.542 | 14.492 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 86 | 296 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.62 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.147 | 0.461 | 9.919 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 70 | 261 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.39 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.284 | 8.708 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 58 | 236 | 0 | 92 | 0 | 0 | 94 |
N.S. |
1 | 1.00 | 0.77 | 3.15 | 0.00 | 1.23 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.094 | 0.244 | 5.785 | 0.000 | 0.092 | 0.000 | 0.000 | 0.346 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 57 | 216 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.92 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.104 | 0.287 | 7.553 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 294 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 3.77 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.099 | 0.341 | 7.073 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 81 | 567 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 4.93 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 0.445 | 11.535 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 77 | 414 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 3.60 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.105 | 0.516 | 10.321 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 23 | 99 | 0 | 19 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.10 | 4.71 | 0.00 | 0.90 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.030 | 0.278 | 6.352 | 0.000 | 0.259 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 21 | 21 | 21 | 99 | 0 | 19 | 0 | 0 | 19 |
N.S. |
1 | 1.00 | 1.00 | 4.71 | 0.00 | 0.90 | 0.00 | 0.00 | 0.90 |
time (sec) |
N/A | 0.029 | 0.137 | 4.295 | 0.000 | 0.254 | 0.000 | 0.000 | 0.760 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 78 | 291 | 0 | 142 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 2.53 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.137 | 1.825 | 72.991 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 79 | 798 | 0 | 147 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 6.94 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.143 | 1.385 | 72.588 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 226 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 2.90 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.112 | 1.113 | 70.412 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 55 | 313 | 0 | 95 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 4.23 | 0.00 | 1.28 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.119 | 1.146 | 17.086 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 58 | 226 | 0 | 97 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 3.01 | 0.00 | 1.29 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.108 | 0.722 | 12.642 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 61 | 795 | 0 | 108 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 10.32 | 0.00 | 1.40 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.109 | 0.574 | 16.523 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 79 | 291 | 0 | 119 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 2.53 | 0.00 | 1.03 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.148 | 0.933 | 17.412 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | C | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 81 | 866 | 0 | 129 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 7.53 | 0.00 | 1.12 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.151 | 1.000 | 22.996 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | F | F | F | F | F(-1) |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 114 | 0 | 0 | 0 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.076 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 31 | 31 | 113 | 31 | 175 | 33 | 279 | 2494 | 30 |
N.S. |
1 | 1.00 | 3.65 | 1.00 | 5.65 | 1.06 | 9.00 | 80.45 | 0.97 |
time (sec) |
N/A | 0.046 | 0.150 | 10.997 | 0.483 | 0.259 | 17.842 | 7.462 | 1.115 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 114 | 31 | 175 | 32 | 272 | 2489 | 30 |
N.S. |
1 | 1.00 | 3.56 | 0.97 | 5.47 | 1.00 | 8.50 | 77.78 | 0.94 |
time (sec) |
N/A | 0.052 | 0.154 | 8.207 | 0.472 | 0.269 | 17.589 | 7.355 | 1.289 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 88 | 322 | 0 | 122 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 2.88 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.106 | 0.435 | 12.699 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 89 | 294 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 2.67 | 0.00 | 0.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.125 | 0.202 | 9.934 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 70 | 261 | 0 | 101 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.39 | 0.00 | 1.31 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.065 | 0.068 | 9.481 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 59 | 237 | 0 | 89 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.81 | 3.25 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.086 | 0.065 | 7.933 | 0.000 | 0.082 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 55 | 214 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 3.10 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.594 | 8.075 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 56 | 292 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 3.84 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.378 | 7.799 | 0.000 | 0.084 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 84 | 562 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 5.11 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.141 | 0.531 | 11.664 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 83 | 412 | 0 | 132 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.73 | 3.65 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.139 | 0.676 | 10.361 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 91 | 324 | 0 | 124 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 2.95 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.101 | 0.242 | 12.579 | 0.000 | 0.103 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 86 | 296 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 2.62 | 0.00 | 0.99 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.096 | 0.215 | 10.533 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 71 | 263 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.95 | 3.51 | 0.00 | 1.39 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.082 | 0.053 | 9.154 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 61 | 239 | 0 | 88 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.80 | 3.14 | 0.00 | 1.16 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.114 | 0.075 | 7.368 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 57 | 216 | 0 | 113 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.79 | 3.00 | 0.00 | 1.57 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.141 | 0.438 | 7.287 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 294 | 0 | 112 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 3.77 | 0.00 | 1.44 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.164 | 0.411 | 7.112 | 0.000 | 0.086 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 84 | 565 | 0 | 141 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 5.00 | 0.00 | 1.25 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.203 | 0.537 | 11.513 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 83 | 414 | 0 | 136 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 3.60 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.194 | 0.741 | 9.941 | 0.000 | 0.097 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 88 | 324 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.87 | 0.00 | 1.13 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.121 | 0.228 | 14.602 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 87 | 296 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 2.64 | 0.00 | 1.04 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.155 | 0.209 | 16.852 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 73 | 263 | 0 | 106 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.94 | 3.37 | 0.00 | 1.36 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.166 | 0.059 | 18.822 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 65 | 239 | 0 | 90 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.83 | 3.06 | 0.00 | 1.15 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.175 | 0.470 | 59.150 | 0.000 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 57 | 216 | 0 | 115 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.92 | 0.00 | 1.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.111 | 0.353 | 181.955 | 0.000 | 0.099 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 294 | 0 | 114 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 3.77 | 0.00 | 1.46 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.107 | 0.511 | 2.246 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 80 | 602 | 0 | 145 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 5.23 | 0.00 | 1.26 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.134 | 0.873 | 4.553 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 83 | 414 | 0 | 140 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 3.60 | 0.00 | 1.22 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.150 | 1.435 | 3018.439 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 94 | 349 | 0 | 128 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.64 | 2.37 | 0.00 | 0.87 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.153 | 0.789 | 12.534 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 83 | 321 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 2.79 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.123 | 0.734 | 11.141 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 77 | 293 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 2.62 | 0.00 | 0.97 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.490 | 10.062 | 0.000 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 73 | 260 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.91 | 3.25 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.081 | 0.078 | 8.460 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 58 | 236 | 0 | 92 | 0 | 0 | 94 |
N.S. |
1 | 1.00 | 0.77 | 3.15 | 0.00 | 1.23 | 0.00 | 0.00 | 1.25 |
time (sec) |
N/A | 0.068 | 0.072 | 5.907 | 0.000 | 0.090 | 0.000 | 0.000 | 0.973 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 198 | 213 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.79 | 3.00 | 0.00 | 1.65 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 2.540 | 8.102 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 141 | 291 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.93 | 3.99 | 0.00 | 1.59 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 1.462 | 7.855 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 235 | 564 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 2.10 | 5.04 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.141 | 4.598 | 12.401 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 74 | 413 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 3.75 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.144 | 0.675 | 11.195 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 97 | 731 | 0 | 160 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 4.97 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.185 | 1.013 | 16.574 | 0.000 | 0.100 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 86 | 324 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.82 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.110 | 0.824 | 12.549 | 0.000 | 0.105 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 80 | 296 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 2.57 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.117 | 0.704 | 10.516 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 69 | 263 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 3.29 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.078 | 0.572 | 9.151 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 61 | 239 | 0 | 92 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 3.06 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.080 | 0.075 | 7.214 | 0.000 | 0.091 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 57 | 216 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.92 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.070 | 0.082 | 7.401 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 140 | 294 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 1.87 | 3.92 | 0.00 | 1.55 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.098 | 1.000 | 7.469 | 0.000 | 0.088 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 81 | 567 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 5.02 | 0.00 | 1.23 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.147 | 0.204 | 12.026 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 77 | 414 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.69 | 3.70 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.152 | 0.604 | 11.475 | 0.000 | 0.094 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 86 | 324 | 0 | 125 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.75 | 2.82 | 0.00 | 1.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.134 | 1.146 | 12.092 | 0.000 | 0.106 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 80 | 296 | 0 | 109 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 2.57 | 0.00 | 0.95 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.170 | 0.874 | 10.383 | 0.000 | 0.096 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 69 | 263 | 0 | 104 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.86 | 3.29 | 0.00 | 1.30 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.095 | 0.662 | 8.905 | 0.000 | 0.108 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 61 | 239 | 0 | 92 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.78 | 3.06 | 0.00 | 1.18 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.103 | 0.079 | 7.937 | 0.000 | 0.089 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 57 | 216 | 0 | 117 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.77 | 2.92 | 0.00 | 1.58 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.119 | 0.086 | 7.691 | 0.000 | 0.098 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 58 | 294 | 0 | 116 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.74 | 3.77 | 0.00 | 1.49 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.093 | 0.130 | 6.575 | 0.000 | 0.087 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 81 | 567 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.72 | 5.06 | 0.00 | 1.24 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.163 | 0.169 | 11.630 | 0.000 | 0.107 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 77 | 414 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.68 | 3.66 | 0.00 | 1.19 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.244 | 0.233 | 10.281 | 0.000 | 0.092 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 81 | 567 | 0 | 139 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.70 | 4.93 | 0.00 | 1.21 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.092 | 0.047 | 11.799 | 0.000 | 0.090 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | F | C | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 77 | 414 | 0 | 135 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.67 | 3.60 | 0.00 | 1.17 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.100 | 0.049 | 10.553 | 0.000 | 0.093 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 70 | 70 | 111 | 63 | 0 | 0 | 97 |
N.S. |
1 | 1.00 | 0.60 | 0.60 | 0.96 | 0.54 | 0.00 | 0.00 | 0.84 |
time (sec) |
N/A | 0.060 | 0.160 | 7.590 | 0.452 | 0.258 | 0.000 | 0.000 | 2.725 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 67 | 88 | 75 | 200 | 0 | 362 | 112 |
N.S. |
1 | 1.00 | 0.59 | 0.78 | 0.66 | 1.77 | 0.00 | 3.20 | 0.99 |
time (sec) |
N/A | 0.055 | 0.498 | 7.062 | 0.431 | 0.287 | 0.000 | 2.965 | 2.515 |
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 | 74 | 74 | 52 | 47 | 57 | 46 | 139 | 79987 | 72 |
N.S. |
1 | 1.00 | 0.70 | 0.64 | 0.77 | 0.62 | 1.88 | 1080.91 | 0.97 |
time (sec) |
N/A | 0.031 | 0.065 | 7.189 | 0.600 | 0.256 | 29.700 | 7.577 | 1.187 |
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 | 90 | 90 | 52 | 54 | 52 | 162 | 146 | 0 | 45 |
N.S. |
1 | 1.00 | 0.58 | 0.60 | 0.58 | 1.80 | 1.62 | 0.00 | 0.50 |
time (sec) |
N/A | 0.025 | 0.059 | 6.898 | 0.414 | 0.297 | 13.719 | 0.000 | 0.546 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 44 | 53 | 80 | 201 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.65 | 0.78 | 1.18 | 2.96 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.038 | 0.039 | 7.063 | 0.436 | 0.290 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 45 | 45 | 80 | 185 | 0 | 0 | 81 |
N.S. |
1 | 1.00 | 0.76 | 0.76 | 1.36 | 3.14 | 0.00 | 0.00 | 1.37 |
time (sec) |
N/A | 0.031 | 0.051 | 8.606 | 0.411 | 0.292 | 0.000 | 0.000 | 1.499 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 59 | 115 | 728 | 213 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.76 | 1.47 | 9.33 | 2.73 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.044 | 0.081 | 9.421 | 0.464 | 0.295 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 51 | 54 | 350 | 47 | 0 | 0 | 217 |
N.S. |
1 | 1.00 | 0.65 | 0.68 | 4.43 | 0.59 | 0.00 | 0.00 | 2.75 |
time (sec) |
N/A | 0.046 | 0.150 | 8.821 | 0.434 | 0.266 | 0.000 | 0.000 | 3.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F(-1) | F | F(-1) |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 80 | 180 | 2318 | 255 | 0 | 0 | 0 |
N.S. |
1 | 1.00 | 0.66 | 1.48 | 19.00 | 2.09 | 0.00 | 0.00 | 0.00 |
time (sec) |
N/A | 0.068 | 0.160 | 8.638 | 0.512 | 0.306 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F(-1) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 70 | 71 | 117 | 69 | 0 | 0 | 98 |
N.S. |
1 | 1.00 | 0.59 | 0.60 | 0.98 | 0.58 | 0.00 | 0.00 | 0.82 |
time (sec) |
N/A | 0.061 | 0.173 | 8.972 | 0.454 | 0.269 | 0.000 | 0.000 | 2.390 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 67 | 89 | 82 | 209 | 0 | 363 | 113 |
N.S. |
1 | 1.00 | 0.58 | 0.77 | 0.71 | 1.80 | 0.00 | 3.13 | 0.97 |
time (sec) |
N/A | 0.059 | 0.380 | 9.022 | 0.525 | 0.295 | 0.000 | 3.036 | 2.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F(-1) | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 76 | 53 | 48 | 60 | 50 | 0 | 0 | 54 |
N.S. |
1 | 1.00 | 0.70 | 0.63 | 0.79 | 0.66 | 0.00 | 0.00 | 0.71 |
time (sec) |
N/A | 0.036 | 0.052 | 9.201 | 0.421 | 0.259 | 0.000 | 0.000 | 0.739 |