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 | 74 | 74 | 74 | 61 | 60 | 60 | 68 | 64 | 62 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.81 | 0.81 | 0.92 | 0.86 | 0.84 |
time (sec) |
N/A | 0.054 | 0.011 | 0.074 | 0.275 | 0.356 | 0.009 | 3.787 | 0.036 |
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 | 74 | 74 | 74 | 61 | 60 | 60 | 68 | 64 | 62 |
N.S. | 1 | 1.00 | 1.00 | 0.82 | 0.81 | 0.81 | 0.92 | 0.86 | 0.84 |
time (sec) |
N/A | 0.037 | 0.009 | 0.073 | 0.287 | 0.377 | 0.009 | 4.002 | 0.030 |
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 | 69 | 69 | 69 | 58 | 57 | 57 | 65 | 61 | 59 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.83 | 0.83 | 0.94 | 0.88 | 0.86 |
time (sec) |
N/A | 0.024 | 0.009 | 0.041 | 0.274 | 0.378 | 0.010 | 6.323 | 0.029 |
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 | 65 | 65 | 65 | 60 | 55 | 55 | 63 | 60 | 57 |
N.S. | 1 | 1.00 | 1.00 | 0.92 | 0.85 | 0.85 | 0.97 | 0.92 | 0.88 |
time (sec) |
N/A | 0.027 | 0.011 | 0.013 | 0.281 | 0.366 | 0.054 | 5.962 | 0.036 |
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 | 63 | 63 | 63 | 57 | 55 | 62 | 58 | 57 | 56 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.87 | 0.98 | 0.92 | 0.90 | 0.89 |
time (sec) |
N/A | 0.034 | 0.015 | 0.017 | 0.276 | 0.361 | 0.066 | 6.501 | 0.037 |
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 | 63 | 63 | 58 | 58 | 55 | 62 | 61 | 58 | 56 |
N.S. | 1 | 1.00 | 0.92 | 0.92 | 0.87 | 0.98 | 0.97 | 0.92 | 0.89 |
time (sec) |
N/A | 0.036 | 0.025 | 0.014 | 0.281 | 0.373 | 0.149 | 4.623 | 0.035 |
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 | 63 | 63 | 60 | 55 | 56 | 62 | 63 | 56 | 55 |
N.S. | 1 | 1.00 | 0.95 | 0.87 | 0.89 | 0.98 | 1.00 | 0.89 | 0.87 |
time (sec) |
N/A | 0.035 | 0.033 | 0.018 | 0.283 | 0.395 | 0.294 | 3.905 | 0.033 |
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 | 63 | 63 | 62 | 56 | 56 | 62 | 63 | 57 | 56 |
N.S. | 1 | 1.00 | 0.98 | 0.89 | 0.89 | 0.98 | 1.00 | 0.90 | 0.89 |
time (sec) |
N/A | 0.034 | 0.020 | 0.017 | 0.283 | 0.372 | 1.082 | 3.908 | 0.048 |
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 | 63 | 63 | 63 | 56 | 56 | 62 | 66 | 57 | 56 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.89 | 0.98 | 1.05 | 0.90 | 0.89 |
time (sec) |
N/A | 0.034 | 0.037 | 0.016 | 0.277 | 0.377 | 3.153 | 4.808 | 0.777 |
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 | 68 | 68 | 68 | 59 | 59 | 62 | 70 | 60 | 60 |
N.S. | 1 | 1.00 | 1.00 | 0.87 | 0.87 | 0.91 | 1.03 | 0.88 | 0.88 |
time (sec) |
N/A | 0.031 | 0.032 | 0.013 | 0.275 | 0.382 | 9.680 | 4.202 | 0.790 |
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 | 159 | 159 | 159 | 142 | 143 | 143 | 168 | 154 | 141 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.90 | 0.90 | 1.06 | 0.97 | 0.89 |
time (sec) |
N/A | 0.148 | 0.029 | 0.077 | 0.281 | 0.397 | 0.019 | 3.401 | 0.817 |
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 | 159 | 159 | 159 | 142 | 143 | 143 | 163 | 154 | 141 |
N.S. | 1 | 1.00 | 1.00 | 0.89 | 0.90 | 0.90 | 1.03 | 0.97 | 0.89 |
time (sec) |
N/A | 0.098 | 0.025 | 0.087 | 0.296 | 0.349 | 0.019 | 4.187 | 0.068 |
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 | 154 | 154 | 154 | 139 | 140 | 140 | 165 | 151 | 138 |
N.S. | 1 | 1.00 | 1.00 | 0.90 | 0.91 | 0.91 | 1.07 | 0.98 | 0.90 |
time (sec) |
N/A | 0.074 | 0.020 | 0.085 | 0.279 | 0.395 | 0.020 | 6.004 | 0.070 |
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 | 150 | 150 | 150 | 149 | 138 | 138 | 156 | 149 | 135 |
N.S. | 1 | 1.00 | 1.00 | 0.99 | 0.92 | 0.92 | 1.04 | 0.99 | 0.90 |
time (sec) |
N/A | 0.071 | 0.026 | 0.019 | 0.287 | 0.366 | 0.117 | 4.185 | 0.799 |
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 | 145 | 145 | 145 | 147 | 137 | 145 | 156 | 147 | 135 |
N.S. | 1 | 1.00 | 1.00 | 1.01 | 0.94 | 1.00 | 1.08 | 1.01 | 0.93 |
time (sec) |
N/A | 0.082 | 0.061 | 0.022 | 0.326 | 0.368 | 0.133 | 3.769 | 0.797 |
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 | 149 | 149 | 139 | 146 | 139 | 145 | 153 | 148 | 135 |
N.S. | 1 | 1.00 | 0.93 | 0.98 | 0.93 | 0.97 | 1.03 | 0.99 | 0.91 |
time (sec) |
N/A | 0.083 | 0.065 | 0.023 | 0.289 | 0.365 | 0.213 | 3.334 | 0.792 |
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 | 149 | 149 | 151 | 143 | 140 | 145 | 160 | 146 | 137 |
N.S. | 1 | 1.00 | 1.01 | 0.96 | 0.94 | 0.97 | 1.07 | 0.98 | 0.92 |
time (sec) |
N/A | 0.090 | 0.052 | 0.021 | 0.270 | 0.365 | 0.397 | 3.884 | 0.059 |
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 | 148 | 148 | 130 | 139 | 139 | 145 | 153 | 142 | 134 |
N.S. | 1 | 1.00 | 0.88 | 0.94 | 0.94 | 0.98 | 1.03 | 0.96 | 0.91 |
time (sec) |
N/A | 0.097 | 0.052 | 0.021 | 0.267 | 0.377 | 1.441 | 6.232 | 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 | 143 | 143 | 142 | 135 | 138 | 145 | 155 | 140 | 136 |
N.S. | 1 | 1.00 | 0.99 | 0.94 | 0.97 | 1.01 | 1.08 | 0.98 | 0.95 |
time (sec) |
N/A | 0.097 | 0.053 | 0.023 | 0.276 | 0.358 | 4.467 | 5.548 | 0.054 |
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 | 149 | 149 | 144 | 136 | 140 | 145 | 158 | 141 | 136 |
N.S. | 1 | 1.00 | 0.97 | 0.91 | 0.94 | 0.97 | 1.06 | 0.95 | 0.91 |
time (sec) |
N/A | 0.092 | 0.063 | 0.021 | 0.268 | 0.367 | 29.622 | 5.529 | 0.057 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 339 | 339 | 460 | 331 | 0 | 0 | 0 | 5305 | 2588 |
N.S. |
1 | 1.00 | 1.36 | 0.98 | 0.00 | 0.00 | 0.00 | 15.65 | 7.63 |
time (sec) |
N/A | 1.215 | 0.386 | 0.073 | 0.000 | 0.000 | 0.000 | 6.581 | 0.958 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 377 | 419 | 0 | 1329593 | 0 | 3520 | 2696 |
N.S. |
1 | 1.00 | 1.36 | 1.51 | 0.00 | 4782.71 | 0.00 | 12.66 | 9.70 |
time (sec) |
N/A | 0.317 | 0.274 | 0.062 | 0.000 | 61.877 | 0.000 | 7.757 | 1.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 270 | 270 | 360 | 267 | 0 | 861800 | 0 | 3844 | 1890 |
N.S. |
1 | 1.00 | 1.33 | 0.99 | 0.00 | 3191.85 | 0.00 | 14.24 | 7.00 |
time (sec) |
N/A | 0.569 | 0.238 | 0.066 | 0.000 | 57.707 | 0.000 | 6.789 | 2.001 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 223 | 223 | 240 | 313 | 0 | 845032 | 0 | 2368 | 2500 |
N.S. |
1 | 1.00 | 1.08 | 1.40 | 0.00 | 3789.38 | 0.00 | 10.62 | 11.21 |
time (sec) |
N/A | 0.163 | 0.234 | 0.048 | 0.000 | 14.292 | 0.000 | 5.187 | 1.885 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | C | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 234 | 242 | 0 | 578003 | 0 | 1712 | 2500 |
N.S. |
1 | 1.00 | 1.11 | 1.15 | 0.00 | 2739.35 | 0.00 | 8.11 | 11.85 |
time (sec) |
N/A | 0.174 | 0.139 | 0.043 | 0.000 | 27.603 | 0.000 | 6.855 | 2.306 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 285 | 251 | 0 | 0 | 0 | 2337 | 2258 |
N.S. |
1 | 1.00 | 1.24 | 1.10 | 0.00 | 0.00 | 0.00 | 10.21 | 9.86 |
time (sec) |
N/A | 0.188 | 0.293 | 0.059 | 0.000 | 0.000 | 0.000 | 6.435 | 1.493 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 315 | 325 | 0 | 0 | 0 | 3508 | 2588 |
N.S. |
1 | 1.00 | 1.21 | 1.25 | 0.00 | 0.00 | 0.00 | 13.49 | 9.95 |
time (sec) |
N/A | 0.318 | 0.693 | 0.068 | 0.000 | 0.000 | 0.000 | 7.457 | 1.022 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 288 | 288 | 377 | 300 | 0 | 0 | 0 | 3354 | 2500 |
N.S. |
1 | 1.00 | 1.31 | 1.04 | 0.00 | 0.00 | 0.00 | 11.65 | 8.68 |
time (sec) |
N/A | 0.335 | 0.619 | 0.082 | 0.000 | 0.000 | 0.000 | 6.262 | 1.172 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 412 | 412 | 444 | 550 | 0 | 0 | 0 | 5220 | 2500 |
N.S. |
1 | 1.00 | 1.08 | 1.33 | 0.00 | 0.00 | 0.00 | 12.67 | 6.07 |
time (sec) |
N/A | 0.893 | 0.876 | 0.082 | 0.000 | 0.000 | 0.000 | 8.913 | 1.774 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 347 | 347 | 358 | 458 | 0 | 0 | 0 | 3229 | 2500 |
N.S. |
1 | 1.00 | 1.03 | 1.32 | 0.00 | 0.00 | 0.00 | 9.31 | 7.20 |
time (sec) |
N/A | 0.434 | 0.572 | 0.058 | 0.000 | 0.000 | 0.000 | 5.333 | 1.613 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.630 | 0.668 | 0.070 | 0.000 | 0.000 | 0.000 | 6.104 | 1.671 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 317 | 317 | 335 | 510 | 0 | 0 | 0 | 3014 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.61 | 0.00 | 0.00 | 0.00 | 9.51 | 7.89 |
time (sec) |
N/A | 0.294 | 0.801 | 0.157 | 0.000 | 0.000 | 0.000 | 8.337 | 1.595 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 393 | 579 | 0 | 0 | 0 | 5158 | 2500 |
N.S. |
1 | 1.00 | 1.07 | 1.57 | 0.00 | 0.00 | 0.00 | 14.02 | 6.79 |
time (sec) |
N/A | 0.597 | 0.796 | 0.141 | 0.000 | 0.000 | 0.000 | 7.624 | 1.675 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 403 | 403 | 458 | 566 | 0 | 0 | 0 | 6024 | 2500 |
N.S. |
1 | 1.00 | 1.14 | 1.40 | 0.00 | 0.00 | 0.00 | 14.95 | 6.20 |
time (sec) |
N/A | 0.649 | 0.931 | 0.104 | 0.000 | 0.000 | 0.000 | 7.385 | 1.838 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 514 | 514 | 559 | 667 | 0 | 0 | 0 | 9016 | 2500 |
N.S. |
1 | 1.00 | 1.09 | 1.30 | 0.00 | 0.00 | 0.00 | 17.54 | 4.86 |
time (sec) |
N/A | 1.073 | 1.259 | 0.135 | 0.000 | 0.000 | 0.000 | 9.025 | 2.468 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 534 | 534 | 655 | 778 | 0 | 0 | 0 | 6939 | 2500 |
N.S. |
1 | 1.00 | 1.23 | 1.46 | 0.00 | 0.00 | 0.00 | 12.99 | 4.68 |
time (sec) |
N/A | 1.363 | 1.539 | 0.142 | 0.000 | 0.000 | 0.000 | 8.191 | 2.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 399 | 399 | 296 | 5520 | 611 | 3898 | 47658 | 7808 | 2500 |
N.S. | 1 | 1.00 | 0.74 | 13.83 | 1.53 | 9.77 | 119.44 | 19.57 | 6.27 |
time (sec) |
N/A | 0.281 | 2.106 | 0.036 | 0.427 | 0.427 | 3.363 | 3.716 | 3.280 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 260 | 187 | 2187 | 344 | 1603 | 16323 | 3203 | 1314 |
N.S. | 1 | 1.00 | 0.72 | 8.41 | 1.32 | 6.17 | 62.78 | 12.32 | 5.05 |
time (sec) |
N/A | 0.156 | 0.897 | 0.022 | 0.335 | 0.410 | 1.468 | 5.223 | 1.810 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 92 | 136 | 155 | 444 | 3628 | 914 | 527 |
N.S. | 1 | 1.00 | 0.67 | 0.99 | 1.13 | 3.24 | 26.48 | 6.67 | 3.85 |
time (sec) |
N/A | 0.063 | 0.279 | 0.022 | 0.306 | 0.380 | 0.584 | 6.065 | 1.075 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F | F | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 368 | 438 | 0 | 0 | 32 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.19 | 0.00 | 0.00 | 0.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.432 | 1.150 | 0.018 | 0.000 | 0.359 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 685 | 670 | 242 | 0 | 0 | 57 | 0 | 0 | -1 |
N.S. |
1 | 0.98 | 0.35 | 0.00 | 0.00 | 0.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.583 | 1.182 | 0.006 | 0.000 | 0.361 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.623 | 0.676 | 0.042 | 0.000 | 0.000 | 0.000 | 7.202 | 0.004 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.270 | 0.104 | 0.053 | 0.000 | 0.000 | 0.000 | 7.457 | 1.551 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.264 | 0.102 | 0.053 | 0.000 | 0.000 | 0.000 | 8.155 | 1.474 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.263 | 0.102 | 0.060 | 0.000 | 0.000 | 0.000 | 7.393 | 1.389 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 378 | 456 | 0 | 0 | 0 | 4440 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 1.28 | 0.00 | 0.00 | 0.00 | 12.47 | 7.02 |
time (sec) |
N/A | 0.257 | 0.101 | 0.051 | 0.000 | 0.000 | 0.000 | 7.193 | 1.414 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 273 | 273 | 260 | 330 | 0 | 900 | 0 | 306 | 2972 |
N.S. |
1 | 1.00 | 0.95 | 1.21 | 0.00 | 3.30 | 0.00 | 1.12 | 10.89 |
time (sec) |
N/A | 0.550 | 0.133 | 0.112 | 0.000 | 0.619 | 0.000 | 6.447 | 1.604 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 193 | 224 | 0 | 677 | 0 | 214 | 2295 |
N.S. |
1 | 1.00 | 0.95 | 1.10 | 0.00 | 3.33 | 0.00 | 1.05 | 11.31 |
time (sec) |
N/A | 0.288 | 0.096 | 0.094 | 0.000 | 0.564 | 0.000 | 4.283 | 1.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 136 | 146 | 0 | 473 | 0 | 141 | 1689 |
N.S. |
1 | 1.00 | 0.94 | 1.01 | 0.00 | 3.28 | 0.00 | 0.98 | 11.73 |
time (sec) |
N/A | 0.181 | 0.067 | 0.109 | 0.000 | 0.494 | 0.000 | 3.646 | 1.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 100 | 101 | 0 | 318 | 0 | 99 | 1081 |
N.S. |
1 | 1.00 | 0.97 | 0.98 | 0.00 | 3.09 | 0.00 | 0.96 | 10.50 |
time (sec) |
N/A | 0.121 | 0.045 | 0.062 | 0.000 | 0.458 | 0.000 | 4.479 | 1.830 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 97 | 97 | 178 | 99 | 0 | 309 | 0 | 97 | 2500 |
N.S. |
1 | 1.00 | 1.84 | 1.02 | 0.00 | 3.19 | 0.00 | 1.00 | 25.77 |
time (sec) |
N/A | 0.134 | 0.085 | 0.050 | 0.000 | 0.625 | 0.000 | 6.102 | 8.881 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 203 | 132 | 0 | 399 | 0 | 135 | 2500 |
N.S. |
1 | 1.00 | 1.72 | 1.12 | 0.00 | 3.38 | 0.00 | 1.14 | 21.19 |
time (sec) |
N/A | 0.188 | 0.096 | 0.054 | 0.000 | 0.600 | 0.000 | 3.389 | 7.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 314 | 203 | 0 | 609 | 0 | 212 | 2500 |
N.S. |
1 | 1.00 | 1.80 | 1.17 | 0.00 | 3.50 | 0.00 | 1.22 | 14.37 |
time (sec) |
N/A | 0.266 | 0.218 | 0.074 | 0.000 | 0.912 | 0.000 | 4.700 | 9.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 244 | 244 | 416 | 294 | 0 | 834 | 0 | 313 | 2500 |
N.S. |
1 | 1.00 | 1.70 | 1.20 | 0.00 | 3.42 | 0.00 | 1.28 | 10.25 |
time (sec) |
N/A | 0.376 | 0.216 | 0.079 | 0.000 | 1.642 | 0.000 | 6.809 | 13.829 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 369 | 369 | 456 | 453 | 0 | 15467 | 0 | 7243 | 2500 |
N.S. |
1 | 1.00 | 1.24 | 1.23 | 0.00 | 41.92 | 0.00 | 19.63 | 6.78 |
time (sec) |
N/A | 3.115 | 0.323 | 0.057 | 0.000 | 40.747 | 0.000 | 6.118 | 4.912 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 282 | 282 | 365 | 333 | 0 | 9364 | 0 | 5461 | 2500 |
N.S. |
1 | 1.00 | 1.29 | 1.18 | 0.00 | 33.21 | 0.00 | 19.37 | 8.87 |
time (sec) |
N/A | 2.418 | 0.310 | 0.056 | 0.000 | 8.230 | 0.000 | 5.952 | 3.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 219 | 219 | 258 | 224 | 0 | 5788 | 0 | 4086 | 2500 |
N.S. |
1 | 1.00 | 1.18 | 1.02 | 0.00 | 26.43 | 0.00 | 18.66 | 11.42 |
time (sec) |
N/A | 0.442 | 0.204 | 0.043 | 0.000 | 4.058 | 0.000 | 7.595 | 3.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 213 | 213 | 253 | 220 | 0 | 5930 | 0 | 3988 | 2500 |
N.S. |
1 | 1.00 | 1.19 | 1.03 | 0.00 | 27.84 | 0.00 | 18.72 | 11.74 |
time (sec) |
N/A | 0.572 | 0.194 | 0.062 | 0.000 | 1.683 | 0.000 | 8.507 | 3.515 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 267 | 267 | 284 | 244 | 0 | 9850 | 0 | 3813 | 2500 |
N.S. |
1 | 1.00 | 1.06 | 0.91 | 0.00 | 36.89 | 0.00 | 14.28 | 9.36 |
time (sec) |
N/A | 0.699 | 0.221 | 0.071 | 0.000 | 11.021 | 0.000 | 7.057 | 4.763 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 394 | 360 | 0 | 15830 | 0 | 6718 | 2500 |
N.S. |
1 | 1.00 | 1.20 | 1.09 | 0.00 | 48.12 | 0.00 | 20.42 | 7.60 |
time (sec) |
N/A | 1.299 | 0.358 | 0.075 | 0.000 | 42.362 | 0.000 | 5.530 | 6.247 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 320 | 320 | 309 | 432 | 0 | 2111 | 0 | 424 | 2500 |
N.S. |
1 | 1.00 | 0.97 | 1.35 | 0.00 | 6.60 | 0.00 | 1.32 | 7.81 |
time (sec) |
N/A | 0.813 | 0.320 | 0.154 | 0.000 | 0.626 | 0.000 | 5.527 | 1.333 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 236 | 309 | 0 | 1455 | 0 | 279 | 2450 |
N.S. |
1 | 1.00 | 1.00 | 1.31 | 0.00 | 6.17 | 0.00 | 1.18 | 10.38 |
time (sec) |
N/A | 0.294 | 0.230 | 0.102 | 0.000 | 0.462 | 0.000 | 5.877 | 1.811 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 165 | 165 | 175 | 228 | 0 | 970 | 0 | 195 | 1651 |
N.S. |
1 | 1.00 | 1.06 | 1.38 | 0.00 | 5.88 | 0.00 | 1.18 | 10.01 |
time (sec) |
N/A | 0.190 | 0.165 | 0.082 | 0.000 | 0.412 | 0.000 | 3.724 | 2.717 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 130 | 139 | 0 | 650 | 0 | 140 | 342 |
N.S. |
1 | 1.00 | 1.06 | 1.13 | 0.00 | 5.28 | 0.00 | 1.14 | 2.78 |
time (sec) |
N/A | 0.122 | 0.067 | 0.054 | 0.000 | 0.388 | 0.000 | 3.637 | 0.378 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 268 | 228 | 0 | 1103 | 0 | 227 | 2500 |
N.S. |
1 | 1.00 | 1.61 | 1.37 | 0.00 | 6.64 | 0.00 | 1.37 | 15.06 |
time (sec) |
N/A | 0.266 | 0.289 | 0.073 | 0.000 | 1.016 | 0.000 | 3.872 | 11.849 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 234 | 234 | 403 | 316 | 0 | 1764 | 0 | 287 | 2500 |
N.S. |
1 | 1.00 | 1.72 | 1.35 | 0.00 | 7.54 | 0.00 | 1.23 | 10.68 |
time (sec) |
N/A | 0.483 | 0.416 | 0.089 | 0.000 | 2.024 | 0.000 | 5.063 | 12.979 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | B | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 592 | 466 | 0 | 2567 | 0 | 535 | 2500 |
N.S. |
1 | 1.00 | 1.80 | 1.42 | 0.00 | 7.80 | 0.00 | 1.63 | 7.60 |
time (sec) |
N/A | 0.779 | 0.777 | 0.112 | 0.000 | 4.313 | 0.000 | 5.454 | 21.016 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 550 | 550 | 648 | 682 | 0 | 18909 | 0 | 8957 | 2500 |
N.S. |
1 | 1.00 | 1.18 | 1.24 | 0.00 | 34.38 | 0.00 | 16.29 | 4.55 |
time (sec) |
N/A | 9.873 | 1.304 | 0.098 | 0.000 | 75.856 | 0.000 | 7.932 | 4.104 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 436 | 436 | 511 | 522 | 0 | 12597 | 0 | 7496 | 2500 |
N.S. |
1 | 1.00 | 1.17 | 1.20 | 0.00 | 28.89 | 0.00 | 17.19 | 5.73 |
time (sec) |
N/A | 3.601 | 0.960 | 0.072 | 0.000 | 22.844 | 0.000 | 7.058 | 2.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 362 | 362 | 414 | 415 | 0 | 8951 | 0 | 6208 | 2500 |
N.S. |
1 | 1.00 | 1.14 | 1.15 | 0.00 | 24.73 | 0.00 | 17.15 | 6.91 |
time (sec) |
N/A | 1.737 | 0.676 | 0.063 | 0.000 | 12.980 | 0.000 | 6.066 | 6.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 382 | 387 | 0 | 8991 | 0 | 6356 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 1.12 | 0.00 | 25.99 | 0.00 | 18.37 | 7.23 |
time (sec) |
N/A | 1.259 | 0.663 | 0.060 | 0.000 | 11.408 | 0.000 | 6.986 | 6.552 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 399 | 399 | 444 | 438 | 0 | 13111 | 0 | 7182 | 2500 |
N.S. |
1 | 1.00 | 1.11 | 1.10 | 0.00 | 32.86 | 0.00 | 18.00 | 6.27 |
time (sec) |
N/A | 1.397 | 0.824 | 0.114 | 0.000 | 26.383 | 0.000 | 8.214 | 6.862 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 575 | 575 | 548 | 570 | 0 | 19333 | 0 | 8660 | 2500 |
N.S. |
1 | 1.00 | 0.95 | 0.99 | 0.00 | 33.62 | 0.00 | 15.06 | 4.35 |
time (sec) |
N/A | 6.511 | 1.117 | 0.134 | 0.000 | 84.860 | 0.000 | 8.753 | 7.370 |
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 | 68 | 68 | 62 | 56 | 58 | 82 | 61 | 63 | 57 |
N.S. | 1 | 1.00 | 0.91 | 0.82 | 0.85 | 1.21 | 0.90 | 0.93 | 0.84 |
time (sec) |
N/A | 0.085 | 0.019 | 0.040 | 0.281 | 0.373 | 0.059 | 4.832 | 0.056 |
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 | 61 | 61 | 61 | 51 | 53 | 77 | 56 | 58 | 53 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.87 | 1.26 | 0.92 | 0.95 | 0.87 |
time (sec) |
N/A | 0.078 | 0.019 | 0.029 | 0.280 | 0.375 | 0.061 | 5.196 | 0.039 |
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 | 54 | 54 | 54 | 46 | 48 | 72 | 48 | 53 | 47 |
N.S. | 1 | 1.00 | 1.00 | 0.85 | 0.89 | 1.33 | 0.89 | 0.98 | 0.87 |
time (sec) |
N/A | 0.077 | 0.017 | 0.039 | 0.264 | 0.362 | 0.059 | 3.831 | 0.897 |
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 | 49 | 49 | 49 | 41 | 43 | 67 | 44 | 45 | 43 |
N.S. | 1 | 1.00 | 1.00 | 0.84 | 0.88 | 1.37 | 0.90 | 0.92 | 0.88 |
time (sec) |
N/A | 0.058 | 0.015 | 0.027 | 0.271 | 0.368 | 0.061 | 2.654 | 0.038 |
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 | 42 | 42 | 42 | 36 | 38 | 57 | 36 | 40 | 37 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 0.90 | 1.36 | 0.86 | 0.95 | 0.88 |
time (sec) |
N/A | 0.033 | 0.012 | 0.025 | 0.296 | 0.360 | 0.057 | 3.007 | 0.049 |
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 | 44 | 44 | 44 | 38 | 44 | 71 | 41 | 47 | 40 |
N.S. | 1 | 1.00 | 1.00 | 0.86 | 1.00 | 1.61 | 0.93 | 1.07 | 0.91 |
time (sec) |
N/A | 0.051 | 0.016 | 0.030 | 0.273 | 0.364 | 0.065 | 4.166 | 0.041 |
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 | 55 | 55 | 50 | 45 | 53 | 92 | 51 | 53 | 50 |
N.S. | 1 | 1.00 | 0.91 | 0.82 | 0.96 | 1.67 | 0.93 | 0.96 | 0.91 |
time (sec) |
N/A | 0.071 | 0.018 | 0.031 | 0.270 | 0.369 | 0.075 | 5.429 | 0.044 |
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 | 56 | 50 | 56 | 97 | 56 | 66 | 55 |
N.S. | 1 | 1.00 | 0.88 | 0.78 | 0.88 | 1.52 | 0.88 | 1.03 | 0.86 |
time (sec) |
N/A | 0.071 | 0.018 | 0.033 | 0.277 | 0.365 | 0.082 | 6.024 | 0.919 |
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 | 70 | 70 | 71 | 56 | 58 | 79 | 68 | 58 | 58 |
N.S. | 1 | 1.00 | 1.01 | 0.80 | 0.83 | 1.13 | 0.97 | 0.83 | 0.83 |
time (sec) |
N/A | 0.055 | 0.031 | 0.033 | 0.490 | 0.366 | 0.082 | 5.877 | 0.952 |
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 | 57 | 57 | 58 | 49 | 51 | 74 | 54 | 51 | 50 |
N.S. | 1 | 1.00 | 1.02 | 0.86 | 0.89 | 1.30 | 0.95 | 0.89 | 0.88 |
time (sec) |
N/A | 0.051 | 0.032 | 0.044 | 0.482 | 0.371 | 0.081 | 5.192 | 0.054 |
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 | 56 | 56 | 57 | 46 | 48 | 69 | 54 | 48 | 48 |
N.S. | 1 | 1.00 | 1.02 | 0.82 | 0.86 | 1.23 | 0.96 | 0.86 | 0.86 |
time (sec) |
N/A | 0.047 | 0.029 | 0.030 | 0.490 | 0.355 | 0.080 | 5.472 | 0.918 |
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 | 49 | 49 | 50 | 41 | 43 | 64 | 48 | 43 | 42 |
N.S. | 1 | 1.00 | 1.02 | 0.84 | 0.88 | 1.31 | 0.98 | 0.88 | 0.86 |
time (sec) |
N/A | 0.043 | 0.026 | 0.030 | 0.485 | 0.370 | 0.081 | 4.621 | 0.068 |
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 | 48 | 48 | 46 | 38 | 40 | 59 | 46 | 40 | 40 |
N.S. | 1 | 1.00 | 0.96 | 0.79 | 0.83 | 1.23 | 0.96 | 0.83 | 0.83 |
time (sec) |
N/A | 0.018 | 0.028 | 0.028 | 0.487 | 0.369 | 0.079 | 3.700 | 0.072 |
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 | 53 | 53 | 51 | 43 | 45 | 68 | 49 | 45 | 45 |
N.S. | 1 | 1.00 | 0.96 | 0.81 | 0.85 | 1.28 | 0.92 | 0.85 | 0.85 |
time (sec) |
N/A | 0.049 | 0.034 | 0.034 | 0.497 | 0.357 | 0.087 | 3.299 | 0.070 |
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 | 62 | 62 | 56 | 48 | 52 | 79 | 56 | 52 | 51 |
N.S. | 1 | 1.00 | 0.90 | 0.77 | 0.84 | 1.27 | 0.90 | 0.84 | 0.82 |
time (sec) |
N/A | 0.054 | 0.037 | 0.042 | 0.486 | 0.363 | 0.096 | 3.808 | 0.923 |
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 | 69 | 69 | 61 | 53 | 57 | 84 | 61 | 57 | 57 |
N.S. | 1 | 1.00 | 0.88 | 0.77 | 0.83 | 1.22 | 0.88 | 0.83 | 0.83 |
time (sec) |
N/A | 0.060 | 0.041 | 0.036 | 0.496 | 0.379 | 0.103 | 5.112 | 0.916 |
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 | 76 | 76 | 77 | 58 | 62 | 89 | 66 | 62 | 61 |
N.S. | 1 | 1.00 | 1.01 | 0.76 | 0.82 | 1.17 | 0.87 | 0.82 | 0.80 |
time (sec) |
N/A | 0.065 | 0.038 | 0.036 | 0.497 | 0.384 | 0.110 | 4.764 | 0.074 |
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 | 81 | 81 | 71 | 64 | 71 | 114 | 75 | 61 | 70 |
N.S. | 1 | 1.00 | 0.88 | 0.79 | 0.88 | 1.41 | 0.93 | 0.75 | 0.86 |
time (sec) |
N/A | 0.075 | 0.038 | 0.034 | 0.514 | 0.365 | 0.103 | 4.448 | 0.059 |
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 | 80 | 80 | 66 | 62 | 68 | 109 | 76 | 58 | 68 |
N.S. | 1 | 1.00 | 0.82 | 0.78 | 0.85 | 1.36 | 0.95 | 0.72 | 0.85 |
time (sec) |
N/A | 0.081 | 0.038 | 0.034 | 0.503 | 0.377 | 0.102 | 4.482 | 0.052 |
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 | 75 | 75 | 60 | 56 | 63 | 104 | 70 | 53 | 63 |
N.S. | 1 | 1.00 | 0.80 | 0.75 | 0.84 | 1.39 | 0.93 | 0.71 | 0.84 |
time (sec) |
N/A | 0.060 | 0.043 | 0.035 | 0.494 | 0.376 | 0.104 | 2.875 | 0.928 |
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 | 72 | 72 | 55 | 54 | 60 | 99 | 65 | 50 | 59 |
N.S. | 1 | 1.00 | 0.76 | 0.75 | 0.83 | 1.38 | 0.90 | 0.69 | 0.82 |
time (sec) |
N/A | 0.046 | 0.040 | 0.032 | 0.495 | 0.371 | 0.101 | 3.101 | 0.928 |
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 | 72 | 72 | 56 | 53 | 60 | 99 | 66 | 50 | 60 |
N.S. | 1 | 1.00 | 0.78 | 0.74 | 0.83 | 1.38 | 0.92 | 0.69 | 0.83 |
time (sec) |
N/A | 0.045 | 0.042 | 0.029 | 0.496 | 0.359 | 0.102 | 4.320 | 0.071 |
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 | 72 | 72 | 56 | 53 | 60 | 99 | 65 | 50 | 59 |
N.S. | 1 | 1.00 | 0.78 | 0.74 | 0.83 | 1.38 | 0.90 | 0.69 | 0.82 |
time (sec) |
N/A | 0.025 | 0.041 | 0.031 | 0.495 | 0.371 | 0.099 | 4.727 | 0.070 |
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 | 79 | 79 | 63 | 58 | 65 | 108 | 71 | 55 | 65 |
N.S. | 1 | 1.00 | 0.80 | 0.73 | 0.82 | 1.37 | 0.90 | 0.70 | 0.82 |
time (sec) |
N/A | 0.069 | 0.045 | 0.037 | 0.488 | 0.366 | 0.112 | 5.462 | 0.920 |
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 | 86 | 86 | 78 | 64 | 72 | 119 | 76 | 62 | 71 |
N.S. | 1 | 1.00 | 0.91 | 0.74 | 0.84 | 1.38 | 0.88 | 0.72 | 0.83 |
time (sec) |
N/A | 0.077 | 0.039 | 0.040 | 0.493 | 0.364 | 0.116 | 5.315 | 0.923 |
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 | 93 | 93 | 73 | 68 | 77 | 124 | 82 | 67 | 77 |
N.S. | 1 | 1.00 | 0.78 | 0.73 | 0.83 | 1.33 | 0.88 | 0.72 | 0.83 |
time (sec) |
N/A | 0.088 | 0.051 | 0.038 | 0.488 | 0.362 | 0.123 | 4.799 | 0.935 |
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 | 86 | 86 | 78 | 74 | 71 | 95 | 87 | 76 | 75 |
N.S. | 1 | 1.00 | 0.91 | 0.86 | 0.83 | 1.10 | 1.01 | 0.88 | 0.87 |
time (sec) |
N/A | 0.088 | 0.031 | 0.030 | 0.529 | 0.361 | 0.067 | 3.371 | 0.901 |