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 | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 125 | 2236 | 0 | 891 | 0 | 158 | 1428 |
N.S. | 1 | 1.00 | 0.87 | 15.53 | 0.00 | 6.19 | 0.00 | 1.10 | 9.92 |
time (sec) |
N/A | 0.154 | 0.239 | 0.135 | 0.000 | 3.242 | 0.000 | 0.646 | 0.735 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 145 | 2302 | 0 | 901 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.12 | 17.71 | 0.00 | 6.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.383 | 0.129 | 0.000 | 2.382 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 88 | 361 | 0 | 390 | 0 | 105 | 100 |
N.S. |
1 | 1.00 | 0.88 | 3.61 | 0.00 | 3.90 | 0.00 | 1.05 | 1.00 |
time (sec) |
N/A | 0.077 | 0.176 | 0.096 | 0.000 | 1.096 | 0.000 | 0.812 | 0.385 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 68 | 68 | 69 | 318 | 0 | 306 | 0 | 64 | 57 |
N.S. |
1 | 1.00 | 1.01 | 4.68 | 0.00 | 4.50 | 0.00 | 0.94 | 0.84 |
time (sec) |
N/A | 0.045 | 0.080 | 0.102 | 0.000 | 1.156 | 0.000 | 0.678 | 0.368 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 48 | 300 | 0 | 231 | 36 | 39 | 39 |
N.S. |
1 | 1.00 | 0.98 | 6.12 | 0.00 | 4.71 | 0.73 | 0.80 | 0.80 |
time (sec) |
N/A | 0.030 | 0.040 | 0.090 | 0.000 | 1.247 | 2.567 | 0.694 | 0.367 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 78 | 331 | 0 | 603 | 63 | 70 | 651 |
N.S. | 1 | 1.00 | 0.98 | 4.14 | 0.00 | 7.54 | 0.79 | 0.88 | 8.14 |
time (sec) |
N/A | 0.053 | 0.114 | 0.096 | 0.000 | 1.797 | 4.888 | 1.019 | 0.498 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 109 | 384 | 0 | 734 | 0 | 103 | 396 |
N.S. | 1 | 1.00 | 0.95 | 3.34 | 0.00 | 6.38 | 0.00 | 0.90 | 3.44 |
time (sec) |
N/A | 0.083 | 0.236 | 0.120 | 0.000 | 1.347 | 0.000 | 0.981 | 0.632 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 130 | 385 | 0 | 717 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 3.38 | 0.00 | 6.29 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.066 | 0.309 | 0.126 | 0.000 | 1.430 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 102 | 337 | 0 | 616 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.24 | 4.11 | 0.00 | 7.51 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.044 | 0.164 | 0.100 | 0.000 | 1.237 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 70 | 306 | 0 | 241 | 0 | 70 | -1 |
N.S. | 1 | 1.00 | 1.43 | 6.24 | 0.00 | 4.92 | 0.00 | 1.43 | -0.02 |
time (sec) |
N/A | 0.014 | 0.005 | 0.087 | 0.000 | 1.844 | 0.000 | 0.874 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 93 | 334 | 0 | 324 | 0 | 111 | -1 |
N.S. | 1 | 1.00 | 1.26 | 4.51 | 0.00 | 4.38 | 0.00 | 1.50 | -0.01 |
time (sec) |
N/A | 0.038 | 0.161 | 0.102 | 0.000 | 1.089 | 0.000 | 0.893 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 110 | 110 | 117 | 378 | 0 | 414 | 0 | 195 | -1 |
N.S. | 1 | 1.00 | 1.06 | 3.44 | 0.00 | 3.76 | 0.00 | 1.77 | -0.01 |
time (sec) |
N/A | 0.086 | 0.272 | 0.110 | 0.000 | 1.993 | 0.000 | 1.864 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 109 | 109 | 132 | 804 | 0 | 977 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 7.38 | 0.00 | 8.96 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.069 | 0.346 | 0.093 | 0.000 | 1.626 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 77 | 77 | 76 | 746 | 0 | 428 | 0 | 78 | 64 |
N.S. |
1 | 1.00 | 0.99 | 9.69 | 0.00 | 5.56 | 0.00 | 1.01 | 0.83 |
time (sec) |
N/A | 0.052 | 0.134 | 0.094 | 0.000 | 1.476 | 0.000 | 1.339 | 0.426 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 74 | 74 | 93 | 758 | 0 | 334 | 0 | 103 | -1 |
N.S. | 1 | 1.00 | 1.26 | 10.24 | 0.00 | 4.51 | 0.00 | 1.39 | -0.01 |
time (sec) |
N/A | 0.037 | 0.187 | 0.096 | 0.000 | 1.663 | 0.000 | 1.061 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 72 | 72 | 72 | 727 | 0 | 323 | 61 | 71 | 61 |
N.S. |
1 | 1.00 | 1.00 | 10.10 | 0.00 | 4.49 | 0.85 | 0.99 | 0.85 |
time (sec) |
N/A | 0.040 | 0.092 | 0.096 | 0.000 | 1.655 | 6.687 | 0.990 | 0.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 99 | 733 | 0 | 442 | 0 | 107 | -1 |
N.S. | 1 | 1.00 | 1.25 | 9.28 | 0.00 | 5.59 | 0.00 | 1.35 | -0.01 |
time (sec) |
N/A | 0.026 | 0.039 | 0.089 | 0.000 | 1.570 | 0.000 | 1.108 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 106 | 773 | 0 | 959 | 94 | 110 | 2296 |
N.S. | 1 | 1.00 | 0.99 | 7.22 | 0.00 | 8.96 | 0.88 | 1.03 | 21.46 |
time (sec) |
N/A | 0.077 | 0.254 | 0.097 | 0.000 | 1.643 | 6.954 | 0.771 | 0.818 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 127 | 779 | 0 | 560 | 0 | 152 | -1 |
N.S. | 1 | 1.00 | 1.02 | 6.28 | 0.00 | 4.52 | 0.00 | 1.23 | -0.01 |
time (sec) |
N/A | 0.078 | 0.417 | 0.125 | 0.000 | 1.110 | 0.000 | 2.477 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 156 | 156 | 142 | 847 | 0 | 1291 | 0 | 172 | 2500 |
N.S. | 1 | 1.00 | 0.91 | 5.43 | 0.00 | 8.28 | 0.00 | 1.10 | 16.03 |
time (sec) |
N/A | 0.152 | 0.391 | 0.135 | 0.000 | 2.271 | 0.000 | 1.283 | 1.213 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 175 | 847 | 0 | 706 | 0 | 275 | -1 |
N.S. | 1 | 1.00 | 0.99 | 4.81 | 0.00 | 4.01 | 0.00 | 1.56 | -0.01 |
time (sec) |
N/A | 0.145 | 0.508 | 0.142 | 0.000 | 1.240 | 0.000 | 1.600 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 115 | 1502 | 0 | 524 | 0 | 304 | -1 |
N.S. | 1 | 1.00 | 0.98 | 12.84 | 0.00 | 4.48 | 0.00 | 2.60 | -0.01 |
time (sec) |
N/A | 0.075 | 0.373 | 0.098 | 0.000 | 1.855 | 0.000 | 1.423 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 103 | 103 | 100 | 1409 | 0 | 535 | 0 | 127 | 110 |
N.S. |
1 | 1.00 | 0.97 | 13.68 | 0.00 | 5.19 | 0.00 | 1.23 | 1.07 |
time (sec) |
N/A | 0.066 | 0.227 | 0.094 | 0.000 | 1.450 | 0.000 | 1.066 | 0.538 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 115 | 115 | 122 | 1439 | 0 | 550 | 0 | 291 | -1 |
N.S. | 1 | 1.00 | 1.06 | 12.51 | 0.00 | 4.78 | 0.00 | 2.53 | -0.01 |
time (sec) |
N/A | 0.059 | 0.379 | 0.091 | 0.000 | 1.377 | 0.000 | 0.961 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 98 | 98 | 90 | 1390 | 0 | 511 | 85 | 118 | 103 |
N.S. |
1 | 1.00 | 0.92 | 14.18 | 0.00 | 5.21 | 0.87 | 1.20 | 1.05 |
time (sec) |
N/A | 0.053 | 0.159 | 0.098 | 0.000 | 1.374 | 9.675 | 0.755 | 0.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 132 | 1396 | 0 | 764 | 0 | 321 | -1 |
N.S. | 1 | 1.00 | 1.08 | 11.44 | 0.00 | 6.26 | 0.00 | 2.63 | -0.01 |
time (sec) |
N/A | 0.063 | 0.378 | 0.099 | 0.000 | 1.517 | 0.000 | 0.759 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 138 | 1455 | 0 | 1711 | 133 | 176 | 2500 |
N.S. | 1 | 1.00 | 0.95 | 10.03 | 0.00 | 11.80 | 0.92 | 1.21 | 17.24 |
time (sec) |
N/A | 0.128 | 0.416 | 0.102 | 0.000 | 2.392 | 9.861 | 0.545 | 1.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 178 | 178 | 180 | 1463 | 0 | 934 | 0 | 366 | -1 |
N.S. | 1 | 1.00 | 1.01 | 8.22 | 0.00 | 5.25 | 0.00 | 2.06 | -0.01 |
time (sec) |
N/A | 0.149 | 0.533 | 0.155 | 0.000 | 1.914 | 0.000 | 1.121 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 211 | 211 | 194 | 1548 | 0 | 2219 | 0 | 211 | 2500 |
N.S. | 1 | 1.00 | 0.92 | 7.34 | 0.00 | 10.52 | 0.00 | 1.00 | 11.85 |
time (sec) |
N/A | 0.229 | 0.705 | 0.178 | 0.000 | 3.061 | 0.000 | 0.498 | 1.999 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 233 | 1552 | 0 | 1128 | 0 | 490 | -1 |
N.S. | 1 | 1.00 | 0.95 | 6.33 | 0.00 | 4.60 | 0.00 | 2.00 | -0.00 |
time (sec) |
N/A | 0.235 | 0.803 | 0.184 | 0.000 | 1.897 | 0.000 | 1.296 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 150 | 150 | 154 | 2002 | 0 | 1002 | 0 | 288 | -1 |
N.S. | 1 | 1.00 | 1.03 | 13.35 | 0.00 | 6.68 | 0.00 | 1.92 | -0.01 |
time (sec) |
N/A | 0.115 | 0.721 | 0.135 | 0.000 | 1.880 | 0.000 | 0.688 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 136 | 136 | 98 | 1959 | 0 | 436 | 0 | 101 | 102 |
N.S. |
1 | 1.00 | 0.72 | 14.40 | 0.00 | 3.21 | 0.00 | 0.74 | 0.75 |
time (sec) |
N/A | 0.076 | 0.254 | 0.122 | 0.000 | 1.279 | 0.000 | 0.613 | 0.510 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 120 | 120 | 138 | 1959 | 0 | 1069 | 0 | 251 | -1 |
N.S. | 1 | 1.00 | 1.15 | 16.32 | 0.00 | 8.91 | 0.00 | 2.09 | -0.01 |
time (sec) |
N/A | 0.058 | 0.489 | 0.096 | 0.000 | 1.588 | 0.000 | 0.663 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 80 | 80 | 80 | 1320 | 0 | 356 | 0 | 79 | 70 |
N.S. |
1 | 1.00 | 1.00 | 16.50 | 0.00 | 4.45 | 0.00 | 0.99 | 0.88 |
time (sec) |
N/A | 0.042 | 0.166 | 0.094 | 0.000 | 1.165 | 0.000 | 0.516 | 0.443 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 102 | 1965 | 0 | 369 | 0 | 218 | -1 |
N.S. | 1 | 1.00 | 1.24 | 23.96 | 0.00 | 4.50 | 0.00 | 2.66 | -0.01 |
time (sec) |
N/A | 0.024 | 0.412 | 0.094 | 0.000 | 1.256 | 0.000 | 1.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 119 | 119 | 111 | 2001 | 0 | 1054 | 0 | 113 | 996 |
N.S. | 1 | 1.00 | 0.93 | 16.82 | 0.00 | 8.86 | 0.00 | 0.95 | 8.37 |
time (sec) |
N/A | 0.077 | 0.502 | 0.101 | 0.000 | 1.249 | 0.000 | 0.511 | 0.638 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 123 | 2024 | 0 | 458 | 0 | 329 | -1 |
N.S. | 1 | 1.00 | 1.09 | 17.91 | 0.00 | 4.05 | 0.00 | 2.91 | -0.01 |
time (sec) |
N/A | 0.074 | 0.430 | 0.129 | 0.000 | 1.401 | 0.000 | 1.232 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 132 | 2071 | 0 | 1043 | 0 | 183 | 1193 |
N.S. | 1 | 1.00 | 0.83 | 13.03 | 0.00 | 6.56 | 0.00 | 1.15 | 7.50 |
time (sec) |
N/A | 0.145 | 0.558 | 0.150 | 0.000 | 1.694 | 0.000 | 0.503 | 0.951 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 154 | 2052 | 0 | 602 | 0 | 361 | -1 |
N.S. | 1 | 1.00 | 1.05 | 13.96 | 0.00 | 4.10 | 0.00 | 2.46 | -0.01 |
time (sec) |
N/A | 0.130 | 0.681 | 0.128 | 0.000 | 1.572 | 0.000 | 1.307 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 197 | 197 | 197 | 3440 | 0 | 1249 | 0 | 394 | -1 |
N.S. | 1 | 1.00 | 1.00 | 17.46 | 0.00 | 6.34 | 0.00 | 2.00 | -0.01 |
time (sec) |
N/A | 0.221 | 0.608 | 0.150 | 0.000 | 1.500 | 0.000 | 0.540 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 125 | 3381 | 0 | 413 | 0 | 173 | 183 |
N.S. |
1 | 1.00 | 0.77 | 20.74 | 0.00 | 2.53 | 0.00 | 1.06 | 1.12 |
time (sec) |
N/A | 0.095 | 0.296 | 0.128 | 0.000 | 1.430 | 0.000 | 0.542 | 0.560 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 149 | 149 | 160 | 3381 | 0 | 996 | 0 | 336 | -1 |
N.S. | 1 | 1.00 | 1.07 | 22.69 | 0.00 | 6.68 | 0.00 | 2.26 | -0.01 |
time (sec) |
N/A | 0.112 | 0.563 | 0.135 | 0.000 | 1.591 | 0.000 | 0.619 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 96 | 2152 | 0 | 333 | 0 | 122 | 117 |
N.S. |
1 | 1.00 | 0.97 | 21.74 | 0.00 | 3.36 | 0.00 | 1.23 | 1.18 |
time (sec) |
N/A | 0.057 | 0.255 | 0.122 | 0.000 | 1.402 | 0.000 | 0.568 | 0.514 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 131 | 131 | 148 | 3387 | 0 | 903 | 0 | 315 | -1 |
N.S. | 1 | 1.00 | 1.13 | 25.85 | 0.00 | 6.89 | 0.00 | 2.40 | -0.01 |
time (sec) |
N/A | 0.060 | 0.523 | 0.098 | 0.000 | 1.756 | 0.000 | 0.496 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 129 | 129 | 122 | 3437 | 0 | 883 | 0 | 154 | 488 |
N.S. | 1 | 1.00 | 0.95 | 26.64 | 0.00 | 6.84 | 0.00 | 1.19 | 3.78 |
time (sec) |
N/A | 0.098 | 0.399 | 0.104 | 0.000 | 1.286 | 0.000 | 0.515 | 0.626 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 122 | 3462 | 0 | 351 | 0 | 412 | -1 |
N.S. | 1 | 1.00 | 0.95 | 27.05 | 0.00 | 2.74 | 0.00 | 3.22 | -0.01 |
time (sec) |
N/A | 0.085 | 0.471 | 0.132 | 0.000 | 1.220 | 0.000 | 1.270 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 154 | 3521 | 0 | 1034 | 0 | 216 | 441 |
N.S. | 1 | 1.00 | 0.91 | 20.71 | 0.00 | 6.08 | 0.00 | 1.27 | 2.59 |
time (sec) |
N/A | 0.172 | 0.669 | 0.146 | 0.000 | 1.386 | 0.000 | 0.534 | 0.957 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 151 | 3573 | 0 | 443 | 0 | 442 | -1 |
N.S. | 1 | 1.00 | 0.91 | 21.52 | 0.00 | 2.67 | 0.00 | 2.66 | -0.01 |
time (sec) |
N/A | 0.160 | 0.479 | 0.128 | 0.000 | 1.366 | 0.000 | 1.346 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 258 | 258 | 269 | 5359 | 0 | 1697 | 0 | 521 | -1 |
N.S. | 1 | 1.00 | 1.04 | 20.77 | 0.00 | 6.58 | 0.00 | 2.02 | -0.00 |
time (sec) |
N/A | 0.300 | 0.921 | 0.142 | 0.000 | 4.734 | 0.000 | 0.598 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 183 | 5284 | 0 | 573 | 0 | 264 | 276 |
N.S. |
1 | 1.00 | 0.92 | 26.69 | 0.00 | 2.89 | 0.00 | 1.33 | 1.39 |
time (sec) |
N/A | 0.127 | 0.375 | 0.138 | 0.000 | 1.337 | 0.000 | 0.542 | 0.641 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 195 | 195 | 221 | 5284 | 0 | 1379 | 0 | 446 | -1 |
N.S. | 1 | 1.00 | 1.13 | 27.10 | 0.00 | 7.07 | 0.00 | 2.29 | -0.01 |
time (sec) |
N/A | 0.163 | 0.813 | 0.140 | 0.000 | 3.611 | 0.000 | 0.526 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 128 | 3224 | 0 | 453 | 0 | 197 | 172 |
N.S. |
1 | 1.00 | 1.02 | 25.59 | 0.00 | 3.60 | 0.00 | 1.56 | 1.37 |
time (sec) |
N/A | 0.074 | 0.301 | 0.134 | 0.000 | 1.960 | 0.000 | 0.523 | 0.573 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 191 | 5290 | 0 | 1228 | 0 | 407 | -1 |
N.S. | 1 | 1.00 | 1.10 | 30.40 | 0.00 | 7.06 | 0.00 | 2.34 | -0.01 |
time (sec) |
N/A | 0.144 | 0.623 | 0.158 | 0.000 | 2.095 | 0.000 | 0.517 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 160 | 160 | 146 | 5354 | 0 | 1132 | 0 | 206 | 1321 |
N.S. | 1 | 1.00 | 0.91 | 33.46 | 0.00 | 7.08 | 0.00 | 1.29 | 8.26 |
time (sec) |
N/A | 0.146 | 0.326 | 0.100 | 0.000 | 3.167 | 0.000 | 0.495 | 0.700 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 192 | 5381 | 0 | 1184 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.14 | 32.03 | 0.00 | 7.05 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.121 | 0.601 | 0.133 | 0.000 | 1.725 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 180 | 180 | 160 | 5452 | 0 | 1266 | 0 | 283 | 1152 |
N.S. | 1 | 1.00 | 0.89 | 30.29 | 0.00 | 7.03 | 0.00 | 1.57 | 6.40 |
time (sec) |
N/A | 0.180 | 0.485 | 0.158 | 0.000 | 2.499 | 0.000 | 0.515 | 1.080 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 157 | 5508 | 0 | 483 | 0 | 496 | -1 |
N.S. | 1 | 1.00 | 0.89 | 31.30 | 0.00 | 2.74 | 0.00 | 2.82 | -0.01 |
time (sec) |
N/A | 0.160 | 0.686 | 0.140 | 0.000 | 1.663 | 0.000 | 1.425 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 148 | 843 | 0 | 1053 | 0 | 284 | -1 |
N.S. | 1 | 1.00 | 1.12 | 6.39 | 0.00 | 7.98 | 0.00 | 2.15 | -0.01 |
time (sec) |
N/A | 0.075 | 0.752 | 0.094 | 0.000 | 1.537 | 0.000 | 0.551 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 99 | 99 | 100 | 816 | 0 | 450 | 0 | 116 | 93 |
N.S. |
1 | 1.00 | 1.01 | 8.24 | 0.00 | 4.55 | 0.00 | 1.17 | 0.94 |
time (sec) |
N/A | 0.058 | 0.233 | 0.093 | 0.000 | 1.829 | 0.000 | 0.523 | 0.501 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 89 | 89 | 109 | 816 | 0 | 418 | 0 | 231 | -1 |
N.S. | 1 | 1.00 | 1.22 | 9.17 | 0.00 | 4.70 | 0.00 | 2.60 | -0.01 |
time (sec) |
N/A | 0.037 | 0.491 | 0.095 | 0.000 | 1.195 | 0.000 | 1.207 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 87 | 86 | 524 | 0 | 404 | 0 | 93 | 82 |
N.S. |
1 | 1.00 | 0.99 | 6.02 | 0.00 | 4.64 | 0.00 | 1.07 | 0.94 |
time (sec) |
N/A | 0.046 | 0.172 | 0.093 | 0.000 | 1.257 | 0.000 | 0.720 | 0.435 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 100 | 100 | 122 | 822 | 0 | 459 | 0 | 225 | -1 |
N.S. | 1 | 1.00 | 1.22 | 8.22 | 0.00 | 4.59 | 0.00 | 2.25 | -0.01 |
time (sec) |
N/A | 0.036 | 0.043 | 0.086 | 0.000 | 1.328 | 0.000 | 0.522 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 124 | 847 | 0 | 1037 | 0 | 138 | 3023 |
N.S. | 1 | 1.00 | 0.95 | 6.52 | 0.00 | 7.98 | 0.00 | 1.06 | 23.25 |
time (sec) |
N/A | 0.091 | 0.369 | 0.099 | 0.000 | 1.845 | 0.000 | 0.559 | 1.071 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 147 | 147 | 156 | 838 | 0 | 600 | 0 | 396 | -1 |
N.S. | 1 | 1.00 | 1.06 | 5.70 | 0.00 | 4.08 | 0.00 | 2.69 | -0.01 |
time (sec) |
N/A | 0.089 | 0.735 | 0.115 | 0.000 | 1.533 | 0.000 | 1.252 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 185 | 185 | 163 | 903 | 0 | 1407 | 0 | 257 | 2500 |
N.S. | 1 | 1.00 | 0.88 | 4.88 | 0.00 | 7.61 | 0.00 | 1.39 | 13.51 |
time (sec) |
N/A | 0.163 | 0.750 | 0.139 | 0.000 | 2.233 | 0.000 | 0.547 | 1.579 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 206 | 206 | 199 | 885 | 0 | 758 | 0 | 375 | -1 |
N.S. | 1 | 1.00 | 0.97 | 4.30 | 0.00 | 3.68 | 0.00 | 1.82 | -0.00 |
time (sec) |
N/A | 0.162 | 0.904 | 0.125 | 0.000 | 1.728 | 0.000 | 1.407 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 126 | 1943 | 0 | 552 | 0 | 298 | -1 |
N.S. | 1 | 1.00 | 0.97 | 14.95 | 0.00 | 4.25 | 0.00 | 2.29 | -0.01 |
time (sec) |
N/A | 0.066 | 0.681 | 0.101 | 0.000 | 1.324 | 0.000 | 1.280 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 110 | 1922 | 0 | 732 | 0 | 181 | 142 |
N.S. |
1 | 1.00 | 0.82 | 14.34 | 0.00 | 5.46 | 0.00 | 1.35 | 1.06 |
time (sec) |
N/A | 0.079 | 0.322 | 0.094 | 0.000 | 1.610 | 0.000 | 0.526 | 0.620 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 133 | 1922 | 0 | 744 | 0 | 299 | -1 |
N.S. | 1 | 1.00 | 1.08 | 15.63 | 0.00 | 6.05 | 0.00 | 2.43 | -0.01 |
time (sec) |
N/A | 0.062 | 0.592 | 0.094 | 0.000 | 1.981 | 0.000 | 1.249 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 113 | 113 | 102 | 1203 | 0 | 537 | 0 | 153 | 130 |
N.S. |
1 | 1.00 | 0.90 | 10.65 | 0.00 | 4.75 | 0.00 | 1.35 | 1.15 |
time (sec) |
N/A | 0.056 | 0.339 | 0.097 | 0.000 | 1.379 | 0.000 | 0.501 | 0.565 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 154 | 1928 | 0 | 854 | 0 | 318 | -1 |
N.S. | 1 | 1.00 | 1.08 | 13.58 | 0.00 | 6.01 | 0.00 | 2.24 | -0.01 |
time (sec) |
N/A | 0.072 | 0.585 | 0.090 | 0.000 | 1.700 | 0.000 | 1.226 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 157 | 1968 | 0 | 1992 | 0 | 225 | 2500 |
N.S. | 1 | 1.00 | 0.92 | 11.58 | 0.00 | 11.72 | 0.00 | 1.32 | 14.71 |
time (sec) |
N/A | 0.150 | 0.768 | 0.099 | 0.000 | 3.548 | 0.000 | 0.559 | 1.897 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 216 | 1962 | 0 | 1018 | 0 | 554 | -1 |
N.S. | 1 | 1.00 | 1.05 | 9.57 | 0.00 | 4.97 | 0.00 | 2.70 | -0.00 |
time (sec) |
N/A | 0.171 | 0.953 | 0.152 | 0.000 | 1.878 | 0.000 | 1.381 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 223 | 2042 | 0 | 2554 | 0 | 367 | 2500 |
N.S. | 1 | 1.00 | 0.93 | 8.47 | 0.00 | 10.60 | 0.00 | 1.52 | 10.37 |
time (sec) |
N/A | 0.243 | 0.961 | 0.173 | 0.000 | 6.461 | 0.000 | 0.527 | 2.747 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 277 | 277 | 265 | 2032 | 0 | 1252 | 0 | 486 | -1 |
N.S. | 1 | 1.00 | 0.96 | 7.34 | 0.00 | 4.52 | 0.00 | 1.75 | -0.00 |
time (sec) |
N/A | 0.265 | 1.447 | 0.200 | 0.000 | 1.996 | 0.000 | 1.534 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 174 | 174 | 176 | 3522 | 0 | 1008 | 0 | 594 | -1 |
N.S. | 1 | 1.00 | 1.01 | 20.24 | 0.00 | 5.79 | 0.00 | 3.41 | -0.01 |
time (sec) |
N/A | 0.141 | 1.145 | 0.102 | 0.000 | 2.324 | 0.000 | 1.343 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 154 | 3483 | 0 | 993 | 0 | 260 | 193 |
N.S. |
1 | 1.00 | 0.91 | 20.49 | 0.00 | 5.84 | 0.00 | 1.53 | 1.14 |
time (sec) |
N/A | 0.113 | 0.472 | 0.099 | 0.000 | 1.436 | 0.000 | 0.683 | 0.794 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 183 | 3483 | 0 | 1292 | 0 | 595 | -1 |
N.S. | 1 | 1.00 | 1.12 | 21.37 | 0.00 | 7.93 | 0.00 | 3.65 | -0.01 |
time (sec) |
N/A | 0.106 | 1.025 | 0.100 | 0.000 | 2.747 | 0.000 | 1.454 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 140 | 140 | 137 | 2101 | 0 | 895 | 0 | 226 | 171 |
N.S. |
1 | 1.00 | 0.98 | 15.01 | 0.00 | 6.39 | 0.00 | 1.61 | 1.22 |
time (sec) |
N/A | 0.075 | 0.302 | 0.099 | 0.000 | 1.535 | 0.000 | 0.622 | 0.683 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 201 | 201 | 214 | 3489 | 0 | 1434 | 0 | 619 | -1 |
N.S. | 1 | 1.00 | 1.06 | 17.36 | 0.00 | 7.13 | 0.00 | 3.08 | -0.00 |
time (sec) |
N/A | 0.149 | 1.164 | 0.097 | 0.000 | 2.826 | 0.000 | 1.305 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 215 | 3548 | 0 | 3403 | 0 | 298 | 2500 |
N.S. | 1 | 1.00 | 0.96 | 15.77 | 0.00 | 15.12 | 0.00 | 1.32 | 11.11 |
time (sec) |
N/A | 0.243 | 0.749 | 0.160 | 0.000 | 9.203 | 0.000 | 1.122 | 2.936 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 279 | 279 | 287 | 3544 | 0 | 1662 | 0 | 938 | -1 |
N.S. | 1 | 1.00 | 1.03 | 12.70 | 0.00 | 5.96 | 0.00 | 3.36 | -0.00 |
time (sec) |
N/A | 0.294 | 1.260 | 0.256 | 0.000 | 2.560 | 0.000 | 3.634 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 294 | 3641 | 0 | 4115 | 0 | 505 | 2500 |
N.S. | 1 | 1.00 | 0.97 | 11.98 | 0.00 | 13.54 | 0.00 | 1.66 | 8.22 |
time (sec) |
N/A | 0.356 | 1.363 | 0.310 | 0.000 | 18.981 | 0.000 | 1.179 | 3.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 362 | 362 | 348 | 3635 | 0 | 1890 | 0 | 789 | -1 |
N.S. | 1 | 1.00 | 0.96 | 10.04 | 0.00 | 5.22 | 0.00 | 2.18 | -0.00 |
time (sec) |
N/A | 0.405 | 1.741 | 0.349 | 0.000 | 4.008 | 0.000 | 4.539 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 110 | 276 | 0 | 94 | 97 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 1.30 | 0.00 | 0.44 | 0.46 | 0.00 | -0.00 |
time (sec) |
N/A | 0.110 | 10.102 | 0.133 | 0.000 | 0.369 | 6.478 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 93 | 414 | 0 | 80 | 95 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.23 | 0.00 | 0.24 | 0.28 | 0.00 | -0.00 |
time (sec) |
N/A | 0.182 | 10.075 | 0.123 | 0.000 | 0.280 | 1.781 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 176 | 176 | 93 | 246 | 0 | 68 | 97 | 0 | -1 |
N.S. | 1 | 1.00 | 0.53 | 1.40 | 0.00 | 0.39 | 0.55 | 0.00 | -0.01 |
time (sec) |
N/A | 0.076 | 10.047 | 0.106 | 0.000 | 0.398 | 1.853 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 96 | 391 | 0 | 67 | 100 | 0 | -1 |
N.S. | 1 | 1.00 | 0.29 | 1.17 | 0.00 | 0.20 | 0.30 | 0.00 | -0.00 |
time (sec) |
N/A | 0.184 | 9.542 | 0.121 | 0.000 | 0.300 | 1.881 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 82 | 234 | 0 | 59 | 100 | 0 | -1 |
N.S. | 1 | 1.00 | 0.48 | 1.36 | 0.00 | 0.34 | 0.58 | 0.00 | -0.01 |
time (sec) |
N/A | 0.075 | 9.819 | 0.118 | 0.000 | 0.373 | 3.829 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 338 | 338 | 95 | 417 | 0 | 74 | 107 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.23 | 0.00 | 0.22 | 0.32 | 0.00 | -0.00 |
time (sec) |
N/A | 0.185 | 10.044 | 0.118 | 0.000 | 0.343 | 13.117 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 79 | 242 | 0 | 67 | 97 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 1.59 | 0.00 | 0.44 | 0.64 | 0.00 | -0.01 |
time (sec) |
N/A | 0.062 | 10.073 | 0.125 | 0.000 | 0.198 | 11.719 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 331 | 331 | 80 | 439 | 0 | 99 | 100 | 0 | -1 |
N.S. | 1 | 1.00 | 0.24 | 1.33 | 0.00 | 0.30 | 0.30 | 0.00 | -0.00 |
time (sec) |
N/A | 0.164 | 10.076 | 0.121 | 0.000 | 0.235 | 32.695 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 187 | 187 | 80 | 270 | 0 | 92 | 100 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 1.44 | 0.00 | 0.49 | 0.53 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 10.097 | 0.117 | 0.000 | 0.155 | 85.902 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 252 | 252 | 114 | 300 | 0 | 117 | 199 | 0 | -1 |
N.S. | 1 | 1.00 | 0.45 | 1.19 | 0.00 | 0.46 | 0.79 | 0.00 | -0.00 |
time (sec) |
N/A | 0.117 | 10.126 | 0.102 | 0.000 | 0.305 | 13.916 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 377 | 377 | 97 | 438 | 0 | 105 | 197 | 0 | -1 |
N.S. | 1 | 1.00 | 0.26 | 1.16 | 0.00 | 0.28 | 0.52 | 0.00 | -0.00 |
time (sec) |
N/A | 0.207 | 10.088 | 0.109 | 0.000 | 0.403 | 4.089 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 96 | 272 | 0 | 91 | 199 | 0 | -1 |
N.S. | 1 | 1.00 | 0.45 | 1.27 | 0.00 | 0.43 | 0.93 | 0.00 | -0.00 |
time (sec) |
N/A | 0.091 | 10.067 | 0.112 | 0.000 | 0.268 | 4.613 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 367 | 367 | 84 | 421 | 0 | 90 | 202 | 0 | -1 |
N.S. | 1 | 1.00 | 0.23 | 1.15 | 0.00 | 0.25 | 0.55 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 10.056 | 0.110 | 0.000 | 0.374 | 4.781 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 210 | 210 | 85 | 255 | 0 | 84 | 202 | 0 | -1 |
N.S. | 1 | 1.00 | 0.40 | 1.21 | 0.00 | 0.40 | 0.96 | 0.00 | -0.00 |
time (sec) |
N/A | 0.096 | 10.056 | 0.116 | 0.000 | 0.261 | 6.955 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 365 | 365 | 84 | 422 | 0 | 79 | 212 | 0 | -1 |
N.S. | 1 | 1.00 | 0.23 | 1.16 | 0.00 | 0.22 | 0.58 | 0.00 | -0.00 |
time (sec) |
N/A | 0.199 | 10.052 | 0.113 | 0.000 | 0.420 | 21.926 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | F | C | C | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 338 | 338 | 96 | 417 | 0 | 83 | 94 | 0 | -1 |
N.S. | 1 | 1.00 | 0.28 | 1.23 | 0.00 | 0.25 | 0.28 | 0.00 | -0.00 |
time (sec) |
N/A | 0.178 | 10.102 | 0.109 | 0.000 | 0.390 | 14.890 | 0.000 | 0.000 |