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 | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 125 | 68 | 117 | 203 | 92 | 0 | 111 | 171 |
N.S. |
1 | 1.10 | 0.60 | 1.03 | 1.78 | 0.81 | 0.00 | 0.97 | 1.50 |
time (sec) |
N/A | 0.346 | 0.049 | 0.161 | 0.210 | 0.255 | 0.000 | 0.278 | 4.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 95 | 60 | 109 | 166 | 84 | 0 | 0 | 133 |
N.S. |
1 | 1.06 | 0.67 | 1.21 | 1.84 | 0.93 | 0.00 | 0.00 | 1.48 |
time (sec) |
N/A | 0.304 | 0.034 | 0.118 | 0.214 | 0.253 | 0.000 | 0.000 | 0.066 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 63 | 65 | 49 | 100 | 128 | 73 | 0 | 77 | 98 |
N.S. |
1 | 1.03 | 0.78 | 1.59 | 2.03 | 1.16 | 0.00 | 1.22 | 1.56 |
time (sec) |
N/A | 0.264 | 0.026 | 0.111 | 0.217 | 0.249 | 0.000 | 0.273 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 41 | 90 | 90 | 64 | 0 | 57 | 58 |
N.S. |
1 | 1.00 | 1.14 | 2.50 | 2.50 | 1.78 | 0.00 | 1.58 | 1.61 |
time (sec) |
N/A | 0.216 | 0.020 | 0.107 | 0.217 | 0.255 | 0.000 | 0.281 | 0.052 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 22 | 26 | 36 | 132 | 69 | 57 | 0 | 63 | 37 |
N.S. |
1 | 1.18 | 1.64 | 6.00 | 3.14 | 2.59 | 0.00 | 2.86 | 1.68 |
time (sec) |
N/A | 0.227 | 0.011 | 0.118 | 0.331 | 0.247 | 0.000 | 0.274 | 4.140 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 24 | 28 | 27 | 76 | 53 | 46 | 0 | 66 | 55 |
N.S. |
1 | 1.17 | 1.12 | 3.17 | 2.21 | 1.92 | 0.00 | 2.75 | 2.29 |
time (sec) |
N/A | 0.205 | 0.015 | 0.126 | 0.285 | 0.253 | 0.000 | 0.264 | 0.091 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 38 | 60 | 42 | 85 | 91 | 60 | 0 | 143 | 81 |
N.S. |
1 | 1.58 | 1.11 | 2.24 | 2.39 | 1.58 | 0.00 | 3.76 | 2.13 |
time (sec) |
N/A | 0.236 | 0.031 | 0.134 | 0.283 | 0.255 | 0.000 | 0.266 | 4.423 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 75 | 90 | 51 | 93 | 136 | 68 | 0 | 148 | 105 |
N.S. |
1 | 1.20 | 0.68 | 1.24 | 1.81 | 0.91 | 0.00 | 1.97 | 1.40 |
time (sec) |
N/A | 0.273 | 0.059 | 0.129 | 0.286 | 0.253 | 0.000 | 0.268 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 120 | 59 | 101 | 172 | 76 | 0 | 226 | 129 |
N.S. |
1 | 1.36 | 0.67 | 1.15 | 1.95 | 0.86 | 0.00 | 2.57 | 1.47 |
time (sec) |
N/A | 0.308 | 0.062 | 0.138 | 0.277 | 0.254 | 0.000 | 0.270 | 0.088 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 43 | 43 | 43 | 39 | 43 | 42 | 37 | 47 | 38 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 1.00 | 0.98 | 0.86 | 1.09 | 0.88 |
time (sec) |
N/A | 0.289 | 0.016 | 0.389 | 0.200 | 0.242 | 0.059 | 0.257 | 0.039 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 31 | 34 | 33 | 27 | 38 | 30 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.03 | 1.00 | 0.82 | 1.15 | 0.91 |
time (sec) |
N/A | 0.275 | 0.012 | 0.395 | 0.208 | 0.234 | 0.059 | 0.251 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 26 | 26 | 26 | 24 | 26 | 25 | 20 | 30 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.00 | 0.96 | 0.77 | 1.15 | 0.88 |
time (sec) |
N/A | 0.257 | 0.010 | 0.385 | 0.222 | 0.240 | 0.052 | 0.270 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 14 | 13 | 16 | 10 | 14 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.93 | 1.14 | 0.71 | 1.00 | 0.93 |
time (sec) |
N/A | 0.232 | 0.011 | 0.382 | 0.186 | 0.239 | 0.044 | 0.261 | 4.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 14 | 14 | 14 | 14 | 13 | 13 | 10 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.93 | 0.93 | 0.71 | 1.07 | 1.00 |
time (sec) |
N/A | 0.251 | 0.009 | 0.387 | 0.185 | 0.249 | 0.071 | 0.271 | 0.050 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 19 | 19 | 19 | 19 | 18 | 22 | 15 | 20 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.95 | 1.16 | 0.79 | 1.05 | 0.74 |
time (sec) |
N/A | 0.258 | 0.010 | 0.418 | 0.206 | 0.251 | 0.095 | 0.253 | 4.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 30 | 30 | 35 | 26 | 32 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 0.91 | 1.06 | 0.79 | 0.97 | 0.70 |
time (sec) |
N/A | 0.279 | 0.012 | 0.431 | 0.186 | 0.253 | 0.119 | 0.263 | 0.047 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 37 | 38 | 43 | 34 | 40 | 30 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 0.95 | 1.08 | 0.85 | 1.00 | 0.75 |
time (sec) |
N/A | 0.277 | 0.012 | 0.441 | 0.187 | 0.244 | 0.111 | 0.261 | 0.046 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 75 | 151 | 182 | 112 | 0 | 0 | 154 |
N.S. |
1 | 1.00 | 0.64 | 1.28 | 1.54 | 0.95 | 0.00 | 0.00 | 1.31 |
time (sec) |
N/A | 0.618 | 0.060 | 0.137 | 0.208 | 0.271 | 0.000 | 0.000 | 4.126 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 92 | 92 | 66 | 142 | 145 | 103 | 0 | 0 | 117 |
N.S. |
1 | 1.00 | 0.72 | 1.54 | 1.58 | 1.12 | 0.00 | 0.00 | 1.27 |
time (sec) |
N/A | 0.587 | 0.045 | 0.138 | 0.225 | 0.253 | 0.000 | 0.000 | 0.070 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 54 | 133 | 110 | 92 | 0 | 0 | 59 |
N.S. |
1 | 1.00 | 0.87 | 2.15 | 1.77 | 1.48 | 0.00 | 0.00 | 0.95 |
time (sec) |
N/A | 0.547 | 0.036 | 0.128 | 0.176 | 0.246 | 0.000 | 0.000 | 4.086 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 83 | 53 | 363 | 90 | 104 | 0 | 0 | 54 |
N.S. |
1 | 1.80 | 1.15 | 7.89 | 1.96 | 2.26 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.613 | 0.043 | 0.121 | 0.284 | 0.252 | 0.000 | 0.000 | 0.042 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 51 | 57 | 41 | 116 | 72 | 74 | 0 | 0 | 57 |
N.S. |
1 | 1.12 | 0.80 | 2.27 | 1.41 | 1.45 | 0.00 | 0.00 | 1.12 |
time (sec) |
N/A | 0.275 | 0.062 | 0.144 | 0.268 | 0.262 | 0.000 | 0.000 | 4.506 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 91 | 99 | 56 | 125 | 110 | 88 | 0 | 0 | 83 |
N.S. |
1 | 1.09 | 0.62 | 1.37 | 1.21 | 0.97 | 0.00 | 0.00 | 0.91 |
time (sec) |
N/A | 0.723 | 0.067 | 0.144 | 0.293 | 0.250 | 0.000 | 0.000 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 93 | 129 | 66 | 135 | 154 | 96 | 0 | 0 | 152 |
N.S. |
1 | 1.39 | 0.71 | 1.45 | 1.66 | 1.03 | 0.00 | 0.00 | 1.63 |
time (sec) |
N/A | 0.919 | 0.077 | 0.145 | 0.285 | 0.271 | 0.000 | 0.000 | 4.198 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 57 | 57 | 57 | 52 | 58 | 66 | 49 | 78 | 57 |
N.S. |
1 | 1.00 | 1.00 | 0.91 | 1.02 | 1.16 | 0.86 | 1.37 | 1.00 |
time (sec) |
N/A | 0.301 | 0.036 | 0.484 | 0.209 | 0.247 | 0.104 | 0.281 | 0.043 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 47 | 44 | 49 | 57 | 39 | 69 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.04 | 1.21 | 0.83 | 1.47 | 1.04 |
time (sec) |
N/A | 0.293 | 0.029 | 0.437 | 0.222 | 0.238 | 0.095 | 0.266 | 0.037 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 39 | 39 | 39 | 36 | 41 | 49 | 31 | 64 | 38 |
N.S. |
1 | 1.00 | 1.00 | 0.92 | 1.05 | 1.26 | 0.79 | 1.64 | 0.97 |
time (sec) |
N/A | 0.275 | 0.024 | 0.440 | 0.178 | 0.232 | 0.094 | 0.277 | 0.044 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 27 | 27 | 26 | 26 | 26 | 38 | 19 | 46 | 25 |
N.S. |
1 | 1.00 | 0.96 | 0.96 | 0.96 | 1.41 | 0.70 | 1.70 | 0.93 |
time (sec) |
N/A | 0.236 | 0.017 | 0.434 | 0.203 | 0.252 | 0.096 | 0.264 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 13 | 12 | 18 | 8 | 57 | 12 |
N.S. |
1 | 1.00 | 1.00 | 1.00 | 0.92 | 1.38 | 0.62 | 4.38 | 0.92 |
time (sec) |
N/A | 0.249 | 0.009 | 0.457 | 0.183 | 0.235 | 0.093 | 0.272 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 31 | 34 | 55 | 26 | 40 | 28 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 1.06 | 1.72 | 0.81 | 1.25 | 0.88 |
time (sec) |
N/A | 0.274 | 0.020 | 0.492 | 0.190 | 0.240 | 0.146 | 0.260 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 46 | 46 | 43 | 48 | 73 | 41 | 62 | 41 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.04 | 1.59 | 0.89 | 1.35 | 0.89 |
time (sec) |
N/A | 0.286 | 0.028 | 0.520 | 0.184 | 0.260 | 0.188 | 0.275 | 4.194 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 54 | 54 | 54 | 51 | 56 | 81 | 49 | 74 | 49 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 1.04 | 1.50 | 0.91 | 1.37 | 0.91 |
time (sec) |
N/A | 0.294 | 0.047 | 0.521 | 0.192 | 0.260 | 0.202 | 0.270 | 0.067 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 114 | 125 | 68 | 117 | 203 | 91 | 0 | 0 | 172 |
N.S. |
1 | 1.10 | 0.60 | 1.03 | 1.78 | 0.80 | 0.00 | 0.00 | 1.51 |
time (sec) |
N/A | 0.338 | 0.050 | 0.125 | 0.198 | 0.255 | 0.000 | 0.000 | 4.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 95 | 60 | 109 | 166 | 83 | 0 | 86 | 134 |
N.S. |
1 | 1.06 | 0.67 | 1.21 | 1.84 | 0.92 | 0.00 | 0.96 | 1.49 |
time (sec) |
N/A | 0.297 | 0.043 | 0.125 | 0.186 | 0.253 | 0.000 | 0.272 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 64 | 63 | 49 | 100 | 130 | 73 | 0 | 71 | 97 |
N.S. |
1 | 0.98 | 0.77 | 1.56 | 2.03 | 1.14 | 0.00 | 1.11 | 1.52 |
time (sec) |
N/A | 0.251 | 0.033 | 0.123 | 0.190 | 0.242 | 0.000 | 0.281 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 37 | 37 | 42 | 91 | 90 | 64 | 0 | 52 | 58 |
N.S. |
1 | 1.00 | 1.14 | 2.46 | 2.43 | 1.73 | 0.00 | 1.41 | 1.57 |
time (sec) |
N/A | 0.216 | 0.021 | 0.112 | 0.192 | 0.264 | 0.000 | 0.279 | 4.633 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 20 | 24 | 34 | 130 | 70 | 57 | 0 | 59 | 37 |
N.S. |
1 | 1.20 | 1.70 | 6.50 | 3.50 | 2.85 | 0.00 | 2.95 | 1.85 |
time (sec) |
N/A | 0.226 | 0.013 | 0.112 | 0.282 | 0.248 | 0.000 | 0.271 | 0.035 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 29 | 26 | 77 | 55 | 47 | 0 | 0 | 55 |
N.S. |
1 | 1.16 | 1.04 | 3.08 | 2.20 | 1.88 | 0.00 | 0.00 | 2.20 |
time (sec) |
N/A | 0.207 | 0.018 | 0.122 | 0.288 | 0.248 | 0.000 | 0.000 | 4.187 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 59 | 41 | 85 | 93 | 60 | 0 | 157 | 82 |
N.S. |
1 | 1.48 | 1.02 | 2.12 | 2.32 | 1.50 | 0.00 | 3.92 | 2.05 |
time (sec) |
N/A | 0.238 | 0.032 | 0.125 | 0.286 | 0.252 | 0.000 | 0.271 | 4.179 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 76 | 90 | 52 | 93 | 137 | 68 | 0 | 0 | 105 |
N.S. |
1 | 1.18 | 0.68 | 1.22 | 1.80 | 0.89 | 0.00 | 0.00 | 1.38 |
time (sec) |
N/A | 0.276 | 0.056 | 0.127 | 0.286 | 0.270 | 0.000 | 0.000 | 4.380 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 88 | 120 | 59 | 101 | 173 | 77 | 0 | 258 | 129 |
N.S. |
1 | 1.36 | 0.67 | 1.15 | 1.97 | 0.88 | 0.00 | 2.93 | 1.47 |
time (sec) |
N/A | 0.317 | 0.065 | 0.133 | 0.311 | 0.257 | 0.000 | 0.287 | 4.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 42 | 39 | 43 | 42 | 37 | 47 | 38 |
N.S. |
1 | 1.00 | 1.00 | 0.93 | 1.02 | 1.00 | 0.88 | 1.12 | 0.90 |
time (sec) |
N/A | 0.290 | 0.016 | 0.394 | 0.192 | 0.243 | 0.072 | 0.272 | 3.998 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 33 | 33 | 33 | 32 | 34 | 33 | 27 | 38 | 31 |
N.S. |
1 | 1.00 | 1.00 | 0.97 | 1.03 | 1.00 | 0.82 | 1.15 | 0.94 |
time (sec) |
N/A | 0.286 | 0.012 | 0.385 | 0.223 | 0.239 | 0.080 | 0.265 | 0.040 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 25 | 25 | 25 | 24 | 26 | 25 | 20 | 30 | 23 |
N.S. |
1 | 1.00 | 1.00 | 0.96 | 1.04 | 1.00 | 0.80 | 1.20 | 0.92 |
time (sec) |
N/A | 0.250 | 0.010 | 0.390 | 0.193 | 0.244 | 0.068 | 0.261 | 0.041 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 13 | 16 | 10 | 14 | 13 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.23 | 0.77 | 1.08 | 1.00 |
time (sec) |
N/A | 0.225 | 0.011 | 0.388 | 0.202 | 0.240 | 0.060 | 0.258 | 0.030 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 13 | 13 | 13 | 14 | 13 | 13 | 10 | 15 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.08 | 1.00 | 1.00 | 0.77 | 1.15 | 1.08 |
time (sec) |
N/A | 0.252 | 0.007 | 0.395 | 0.205 | 0.238 | 0.072 | 0.264 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 18 | 18 | 18 | 19 | 18 | 23 | 15 | 20 | 14 |
N.S. |
1 | 1.00 | 1.00 | 1.06 | 1.00 | 1.28 | 0.83 | 1.11 | 0.78 |
time (sec) |
N/A | 0.260 | 0.009 | 0.421 | 0.204 | 0.262 | 0.091 | 0.263 | 4.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 32 | 30 | 30 | 35 | 26 | 32 | 24 |
N.S. |
1 | 1.00 | 1.00 | 0.94 | 0.94 | 1.09 | 0.81 | 1.00 | 0.75 |
time (sec) |
N/A | 0.266 | 0.011 | 0.432 | 0.245 | 0.252 | 0.103 | 0.265 | 0.048 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 40 | 40 | 40 | 38 | 38 | 43 | 34 | 40 | 31 |
N.S. |
1 | 1.00 | 1.00 | 0.95 | 0.95 | 1.08 | 0.85 | 1.00 | 0.78 |
time (sec) |
N/A | 0.274 | 0.011 | 0.436 | 0.188 | 0.250 | 0.127 | 0.264 | 4.125 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 83 | 153 | 223 | 92 | 0 | 0 | 192 |
N.S. |
1 | 1.00 | 0.61 | 1.12 | 1.64 | 0.68 | 0.00 | 0.00 | 1.41 |
time (sec) |
N/A | 0.661 | 0.061 | 0.141 | 0.197 | 0.253 | 0.000 | 0.000 | 0.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 116 | 116 | 75 | 145 | 186 | 84 | 0 | 0 | 156 |
N.S. |
1 | 1.00 | 0.65 | 1.25 | 1.60 | 0.72 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.611 | 0.062 | 0.139 | 0.212 | 0.256 | 0.000 | 0.000 | 0.063 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 66 | 136 | 151 | 75 | 0 | 0 | 120 |
N.S. |
1 | 1.00 | 0.73 | 1.51 | 1.68 | 0.83 | 0.00 | 0.00 | 1.33 |
time (sec) |
N/A | 0.574 | 0.046 | 0.146 | 0.192 | 0.259 | 0.000 | 0.000 | 4.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 60 | 60 | 54 | 127 | 111 | 66 | 0 | 0 | 78 |
N.S. |
1 | 1.00 | 0.90 | 2.12 | 1.85 | 1.10 | 0.00 | 0.00 | 1.30 |
time (sec) |
N/A | 0.526 | 0.038 | 0.139 | 0.186 | 0.244 | 0.000 | 0.000 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | B | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 46 | 81 | 55 | 366 | 89 | 74 | 0 | 0 | 54 |
N.S. |
1 | 1.76 | 1.20 | 7.96 | 1.93 | 1.61 | 0.00 | 0.00 | 1.17 |
time (sec) |
N/A | 0.587 | 0.042 | 0.122 | 0.287 | 0.256 | 0.000 | 0.000 | 0.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | B | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 53 | 54 | 41 | 109 | 72 | 49 | 0 | 0 | 59 |
N.S. |
1 | 1.02 | 0.77 | 2.06 | 1.36 | 0.92 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.267 | 0.047 | 0.139 | 0.295 | 0.258 | 0.000 | 0.000 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 87 | 96 | 56 | 119 | 112 | 61 | 0 | 0 | 118 |
N.S. |
1 | 1.10 | 0.64 | 1.37 | 1.29 | 0.70 | 0.00 | 0.00 | 1.36 |
time (sec) |
N/A | 0.696 | 0.095 | 0.151 | 0.303 | 0.246 | 0.000 | 0.000 | 0.114 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 96 | 127 | 66 | 129 | 157 | 69 | 0 | 0 | 153 |
N.S. |
1 | 1.32 | 0.69 | 1.34 | 1.64 | 0.72 | 0.00 | 0.00 | 1.59 |
time (sec) |
N/A | 0.888 | 0.074 | 0.148 | 0.287 | 0.256 | 0.000 | 0.000 | 4.235 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | F | F | B |
verified |
N/A | Yes | Yes | Yes | TBD | TBD | TBD | TBD | TBD |
size | 133 | 155 | 75 | 137 | 193 | 77 | 0 | 0 | 190 |
N.S. |
1 | 1.17 | 0.56 | 1.03 | 1.45 | 0.58 | 0.00 | 0.00 | 1.43 |
time (sec) |
N/A | 0.988 | 0.039 | 0.153 | 0.283 | 0.251 | 0.000 | 0.000 | 4.162 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 253 | 272 | 173 | 0 | 259 | 119 | 0 | 234 | 229 |
N.S. |
1 | 1.08 | 0.68 | 0.00 | 1.02 | 0.47 | 0.00 | 0.92 | 0.91 |
time (sec) |
N/A | 0.387 | 5.154 | 0.000 | 0.292 | 0.264 | 0.000 | 0.351 | 0.120 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 229 | 149 | 0 | 224 | 111 | 0 | 203 | 192 |
N.S. |
1 | 1.06 | 0.69 | 0.00 | 1.04 | 0.51 | 0.00 | 0.94 | 0.89 |
time (sec) |
N/A | 0.361 | 5.124 | 0.000 | 0.285 | 0.263 | 0.000 | 0.330 | 4.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 179 | 186 | 399 | 0 | 187 | 103 | 0 | 172 | 157 |
N.S. |
1 | 1.04 | 2.23 | 0.00 | 1.04 | 0.58 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.317 | 4.165 | 0.000 | 0.294 | 0.269 | 0.000 | 0.322 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 145 | 66 | 0 | 149 | 93 | 0 | 139 | 120 |
N.S. |
1 | 1.02 | 0.46 | 0.00 | 1.05 | 0.65 | 0.00 | 0.98 | 0.85 |
time (sec) |
N/A | 0.258 | 0.115 | 0.000 | 0.295 | 0.261 | 0.000 | 0.308 | 0.082 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 96 | 102 | 51 | 0 | 111 | 84 | 0 | 108 | 78 |
N.S. |
1 | 1.06 | 0.53 | 0.00 | 1.16 | 0.88 | 0.00 | 1.12 | 0.81 |
time (sec) |
N/A | 0.226 | 0.062 | 0.000 | 0.317 | 0.266 | 0.000 | 0.311 | 4.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 258 | 30 | 0 | 224 | 173 | 0 | 232 | 101 |
N.S. |
1 | 0.89 | 0.10 | 0.00 | 0.77 | 0.59 | 0.00 | 0.80 | 0.35 |
time (sec) |
N/A | 0.446 | 0.031 | 0.000 | 0.299 | 0.244 | 0.000 | 0.299 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 267 | 219 | 148 | 0 | 186 | 185 | 0 | 186 | 87 |
N.S. |
1 | 0.82 | 0.55 | 0.00 | 0.70 | 0.69 | 0.00 | 0.70 | 0.33 |
time (sec) |
N/A | 0.413 | 0.170 | 0.000 | 0.273 | 0.254 | 0.000 | 0.297 | 4.291 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 319 | 260 | 173 | 0 | 226 | 202 | 0 | 223 | 132 |
N.S. |
1 | 0.82 | 0.54 | 0.00 | 0.71 | 0.63 | 0.00 | 0.70 | 0.41 |
time (sec) |
N/A | 0.463 | 0.137 | 0.000 | 0.283 | 0.262 | 0.000 | 0.301 | 0.087 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 356 | 303 | 93 | 0 | 270 | 217 | 0 | 271 | 168 |
N.S. |
1 | 0.85 | 0.26 | 0.00 | 0.76 | 0.61 | 0.00 | 0.76 | 0.47 |
time (sec) |
N/A | 0.505 | 0.079 | 0.000 | 0.284 | 0.262 | 0.000 | 0.312 | 4.431 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 253 | 272 | 173 | 0 | 259 | 119 | 0 | 234 | 229 |
N.S. |
1 | 1.08 | 0.68 | 0.00 | 1.02 | 0.47 | 0.00 | 0.92 | 0.91 |
time (sec) |
N/A | 0.410 | 5.161 | 0.000 | 0.296 | 0.267 | 0.000 | 0.414 | 0.178 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 227 | 149 | 0 | 224 | 111 | 0 | 203 | 192 |
N.S. |
1 | 1.05 | 0.69 | 0.00 | 1.04 | 0.51 | 0.00 | 0.94 | 0.89 |
time (sec) |
N/A | 0.359 | 5.133 | 0.000 | 0.293 | 0.255 | 0.000 | 0.390 | 4.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 179 | 186 | 399 | 0 | 187 | 103 | 0 | 172 | 157 |
N.S. |
1 | 1.04 | 2.23 | 0.00 | 1.04 | 0.58 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.319 | 6.428 | 0.000 | 0.310 | 0.255 | 0.000 | 0.370 | 0.093 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 145 | 70 | 0 | 152 | 95 | 0 | 141 | 120 |
N.S. |
1 | 1.02 | 0.49 | 0.00 | 1.07 | 0.67 | 0.00 | 0.99 | 0.85 |
time (sec) |
N/A | 0.267 | 0.133 | 0.000 | 0.293 | 0.261 | 0.000 | 0.347 | 4.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 56 | 0 | 112 | 86 | 0 | 109 | 79 |
N.S. |
1 | 1.04 | 0.57 | 0.00 | 1.14 | 0.88 | 0.00 | 1.11 | 0.81 |
time (sec) |
N/A | 0.232 | 0.050 | 0.000 | 0.290 | 0.264 | 0.000 | 0.328 | 4.128 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 258 | 30 | 0 | 224 | 173 | 0 | 232 | 101 |
N.S. |
1 | 0.89 | 0.10 | 0.00 | 0.77 | 0.59 | 0.00 | 0.80 | 0.35 |
time (sec) |
N/A | 0.450 | 0.037 | 0.000 | 0.291 | 0.254 | 0.000 | 0.313 | 0.059 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 219 | 46 | 0 | 187 | 184 | 0 | 187 | 88 |
N.S. |
1 | 0.82 | 0.17 | 0.00 | 0.70 | 0.69 | 0.00 | 0.70 | 0.33 |
time (sec) |
N/A | 0.423 | 0.052 | 0.000 | 0.293 | 0.249 | 0.000 | 0.320 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 319 | 260 | 76 | 0 | 229 | 209 | 0 | 225 | 132 |
N.S. |
1 | 0.82 | 0.24 | 0.00 | 0.72 | 0.66 | 0.00 | 0.71 | 0.41 |
time (sec) |
N/A | 0.453 | 0.063 | 0.000 | 0.306 | 0.262 | 0.000 | 0.341 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 356 | 303 | 93 | 0 | 277 | 217 | 0 | 271 | 168 |
N.S. |
1 | 0.85 | 0.26 | 0.00 | 0.78 | 0.61 | 0.00 | 0.76 | 0.47 |
time (sec) |
N/A | 0.493 | 0.085 | 0.000 | 0.289 | 0.263 | 0.000 | 0.352 | 4.164 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 287 | 311 | 198 | 0 | 275 | 152 | 0 | 254 | 248 |
N.S. |
1 | 1.08 | 0.69 | 0.00 | 0.96 | 0.53 | 0.00 | 0.89 | 0.86 |
time (sec) |
N/A | 0.448 | 5.179 | 0.000 | 0.326 | 0.261 | 0.000 | 0.352 | 4.233 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 250 | 268 | 161 | 0 | 238 | 144 | 0 | 223 | 211 |
N.S. |
1 | 1.07 | 0.64 | 0.00 | 0.95 | 0.58 | 0.00 | 0.89 | 0.84 |
time (sec) |
N/A | 0.381 | 5.154 | 0.000 | 0.291 | 0.263 | 0.000 | 0.348 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 213 | 225 | 441 | 0 | 203 | 136 | 0 | 192 | 176 |
N.S. |
1 | 1.06 | 2.07 | 0.00 | 0.95 | 0.64 | 0.00 | 0.90 | 0.83 |
time (sec) |
N/A | 0.353 | 6.976 | 0.000 | 0.315 | 0.262 | 0.000 | 0.319 | 0.099 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 176 | 179 | 80 | 0 | 166 | 128 | 0 | 161 | 139 |
N.S. |
1 | 1.02 | 0.45 | 0.00 | 0.94 | 0.73 | 0.00 | 0.91 | 0.79 |
time (sec) |
N/A | 0.284 | 0.142 | 0.000 | 0.284 | 0.252 | 0.000 | 0.323 | 4.202 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 130 | 136 | 67 | 0 | 131 | 117 | 0 | 141 | 98 |
N.S. |
1 | 1.05 | 0.52 | 0.00 | 1.01 | 0.90 | 0.00 | 1.08 | 0.75 |
time (sec) |
N/A | 0.246 | 0.093 | 0.000 | 0.283 | 0.260 | 0.000 | 0.303 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 320 | 287 | 30 | 0 | 244 | 241 | 0 | 252 | 118 |
N.S. |
1 | 0.90 | 0.09 | 0.00 | 0.76 | 0.75 | 0.00 | 0.79 | 0.37 |
time (sec) |
N/A | 0.477 | 0.054 | 0.000 | 0.324 | 0.260 | 0.000 | 0.302 | 4.455 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 299 | 253 | 173 | 0 | 204 | 243 | 0 | 217 | 107 |
N.S. |
1 | 0.85 | 0.58 | 0.00 | 0.68 | 0.81 | 0.00 | 0.73 | 0.36 |
time (sec) |
N/A | 0.450 | 0.238 | 0.000 | 0.284 | 0.259 | 0.000 | 0.295 | 4.190 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 351 | 293 | 186 | 0 | 244 | 261 | 0 | 243 | 152 |
N.S. |
1 | 0.83 | 0.53 | 0.00 | 0.70 | 0.74 | 0.00 | 0.69 | 0.43 |
time (sec) |
N/A | 0.515 | 0.169 | 0.000 | 0.284 | 0.270 | 0.000 | 0.316 | 0.090 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 385 | 332 | 104 | 0 | 288 | 269 | 0 | 291 | 188 |
N.S. |
1 | 0.86 | 0.27 | 0.00 | 0.75 | 0.70 | 0.00 | 0.76 | 0.49 |
time (sec) |
N/A | 0.519 | 0.102 | 0.000 | 0.291 | 0.273 | 0.000 | 0.321 | 4.234 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 253 | 272 | 173 | 0 | 259 | 119 | 0 | 234 | 229 |
N.S. |
1 | 1.08 | 0.68 | 0.00 | 1.02 | 0.47 | 0.00 | 0.92 | 0.91 |
time (sec) |
N/A | 0.411 | 5.202 | 0.000 | 0.285 | 0.276 | 0.000 | 0.318 | 0.095 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 229 | 149 | 0 | 224 | 111 | 0 | 203 | 193 |
N.S. |
1 | 1.06 | 0.69 | 0.00 | 1.04 | 0.51 | 0.00 | 0.94 | 0.89 |
time (sec) |
N/A | 0.360 | 5.177 | 0.000 | 0.296 | 0.256 | 0.000 | 0.316 | 4.399 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | No | N/A | TBD | TBD | TBD | TBD | TBD |
size | 179 | 186 | 389 | 0 | 187 | 102 | 0 | 172 | 157 |
N.S. |
1 | 1.04 | 2.17 | 0.00 | 1.04 | 0.57 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.321 | 7.312 | 0.000 | 0.299 | 0.260 | 0.000 | 0.306 | 4.144 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 145 | 66 | 0 | 151 | 93 | 0 | 140 | 121 |
N.S. |
1 | 1.02 | 0.46 | 0.00 | 1.06 | 0.65 | 0.00 | 0.99 | 0.85 |
time (sec) |
N/A | 0.269 | 0.189 | 0.000 | 0.303 | 0.264 | 0.000 | 0.308 | 0.072 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 97 | 102 | 33 | 0 | 111 | 84 | 0 | 108 | 79 |
N.S. |
1 | 1.05 | 0.34 | 0.00 | 1.14 | 0.87 | 0.00 | 1.11 | 0.81 |
time (sec) |
N/A | 0.228 | 0.059 | 0.000 | 0.285 | 0.263 | 0.000 | 0.301 | 4.049 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 258 | 30 | 0 | 224 | 173 | 0 | 232 | 101 |
N.S. |
1 | 0.89 | 0.10 | 0.00 | 0.77 | 0.59 | 0.00 | 0.80 | 0.35 |
time (sec) |
N/A | 0.436 | 0.054 | 0.000 | 0.298 | 0.266 | 0.000 | 0.311 | 4.485 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 268 | 220 | 33 | 0 | 186 | 177 | 0 | 186 | 88 |
N.S. |
1 | 0.82 | 0.12 | 0.00 | 0.69 | 0.66 | 0.00 | 0.69 | 0.33 |
time (sec) |
N/A | 0.422 | 0.055 | 0.000 | 0.302 | 0.258 | 0.000 | 0.280 | 4.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 319 | 259 | 56 | 0 | 227 | 201 | 0 | 223 | 132 |
N.S. |
1 | 0.81 | 0.18 | 0.00 | 0.71 | 0.63 | 0.00 | 0.70 | 0.41 |
time (sec) |
N/A | 0.460 | 0.079 | 0.000 | 0.284 | 0.264 | 0.000 | 0.297 | 0.068 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 356 | 302 | 93 | 0 | 277 | 216 | 0 | 271 | 169 |
N.S. |
1 | 0.85 | 0.26 | 0.00 | 0.78 | 0.61 | 0.00 | 0.76 | 0.47 |
time (sec) |
N/A | 0.508 | 0.135 | 0.000 | 0.322 | 0.256 | 0.000 | 0.309 | 0.077 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 253 | 272 | 173 | 0 | 259 | 119 | 0 | 234 | 229 |
N.S. |
1 | 1.08 | 0.68 | 0.00 | 1.02 | 0.47 | 0.00 | 0.92 | 0.91 |
time (sec) |
N/A | 0.429 | 5.349 | 0.000 | 0.325 | 0.268 | 0.000 | 0.357 | 4.362 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 216 | 227 | 149 | 0 | 224 | 111 | 0 | 203 | 193 |
N.S. |
1 | 1.05 | 0.69 | 0.00 | 1.04 | 0.51 | 0.00 | 0.94 | 0.89 |
time (sec) |
N/A | 0.370 | 5.281 | 0.000 | 0.331 | 0.266 | 0.000 | 0.371 | 4.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 179 | 186 | 125 | 0 | 187 | 103 | 0 | 172 | 157 |
N.S. |
1 | 1.04 | 0.70 | 0.00 | 1.04 | 0.58 | 0.00 | 0.96 | 0.88 |
time (sec) |
N/A | 0.323 | 5.241 | 0.000 | 0.283 | 0.272 | 0.000 | 0.335 | 0.064 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 142 | 145 | 70 | 0 | 152 | 95 | 0 | 141 | 121 |
N.S. |
1 | 1.02 | 0.49 | 0.00 | 1.07 | 0.67 | 0.00 | 0.99 | 0.85 |
time (sec) |
N/A | 0.263 | 0.226 | 0.000 | 0.282 | 0.262 | 0.000 | 0.324 | 4.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | F | A | A | F | A | B |
verified |
N/A | Yes | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 98 | 102 | 55 | 0 | 112 | 86 | 0 | 109 | 79 |
N.S. |
1 | 1.04 | 0.56 | 0.00 | 1.14 | 0.88 | 0.00 | 1.11 | 0.81 |
time (sec) |
N/A | 0.228 | 0.139 | 0.000 | 0.285 | 0.255 | 0.000 | 0.280 | 4.079 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | C | F | A | C | F | A | B |
verified |
N/A | No | Yes | N/A | TBD | TBD | TBD | TBD | TBD |
size | 291 | 258 | 28 | 0 | 224 | 173 | 0 | 232 | 101 |
N.S. |
1 | 0.89 | 0.10 | 0.00 | 0.77 | 0.59 | 0.00 | 0.80 | 0.35 |
time (sec) |
N/A | 0.438 | 0.079 | 0.000 | 0.297 | 0.250 | 0.000 | 0.305 | 4.240 |