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 | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 91 | 91 | 76 | 539 | 481 | 169 | 311 | 170 | 219 |
N.S. | 1 | 1.00 | 0.84 | 5.92 | 5.29 | 1.86 | 3.42 | 1.87 | 2.41 |
time (sec) |
N/A | 0.063 | 0.174 | 0.145 | 0.340 | 0.379 | 0.356 | 0.455 | 0.418 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 70 | 70 | 61 | 302 | 278 | 109 | 202 | 110 | 147 |
N.S. | 1 | 1.00 | 0.87 | 4.31 | 3.97 | 1.56 | 2.89 | 1.57 | 2.10 |
time (sec) |
N/A | 0.044 | 0.117 | 0.090 | 0.333 | 0.368 | 0.220 | 0.429 | 0.294 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 44 | 143 | 136 | 62 | 112 | 64 | 84 |
N.S. | 1 | 1.00 | 0.90 | 2.92 | 2.78 | 1.27 | 2.29 | 1.31 | 1.71 |
time (sec) |
N/A | 0.028 | 0.096 | 0.072 | 0.331 | 0.375 | 0.146 | 0.520 | 0.120 |
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 | 27 | 27 | 26 | 51 | 50 | 28 | 46 | 30 | 34 |
N.S. | 1 | 1.00 | 0.96 | 1.89 | 1.85 | 1.04 | 1.70 | 1.11 | 1.26 |
time (sec) |
N/A | 0.011 | 0.044 | 0.047 | 0.306 | 0.369 | 0.086 | 0.468 | 0.180 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 52 | 50 | 77 | 142 | 78 | 0 | 577 | -1 |
N.S. | 1 | 1.00 | 0.96 | 1.48 | 2.73 | 1.50 | 0.00 | 11.10 | -0.02 |
time (sec) |
N/A | 0.065 | 0.057 | 0.079 | 0.354 | 0.394 | 0.000 | 0.459 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 73 | 73 | 65 | 114 | 164 | 123 | 0 | 523 | -1 |
N.S. | 1 | 1.00 | 0.89 | 1.56 | 2.25 | 1.68 | 0.00 | 7.16 | -0.01 |
time (sec) |
N/A | 0.077 | 0.236 | 0.102 | 0.375 | 0.381 | 0.000 | 0.464 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | B | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 89 | 148 | 199 | 209 | 0 | 5518 | -1 |
N.S. | 1 | 1.00 | 0.86 | 1.42 | 1.91 | 2.01 | 0.00 | 53.06 | -0.01 |
time (sec) |
N/A | 0.093 | 0.434 | 0.151 | 0.423 | 0.374 | 0.000 | 0.570 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | B | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 144 | 184 | 249 | 295 | 0 | 8378 | -1 |
N.S. | 1 | 1.00 | 1.13 | 1.45 | 1.96 | 2.32 | 0.00 | 65.97 | -0.01 |
time (sec) |
N/A | 0.109 | 0.385 | 0.190 | 0.486 | 0.376 | 0.000 | 0.704 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 161 | 161 | 132 | 1027 | 717 | 287 | 660 | 222 | 349 |
N.S. | 1 | 1.00 | 0.82 | 6.38 | 4.45 | 1.78 | 4.10 | 1.38 | 2.17 |
time (sec) |
N/A | 0.068 | 0.361 | 0.175 | 0.333 | 0.375 | 0.562 | 0.487 | 0.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 106 | 587 | 428 | 190 | 456 | 153 | 229 |
N.S. | 1 | 1.00 | 0.79 | 4.38 | 3.19 | 1.42 | 3.40 | 1.14 | 1.71 |
time (sec) |
N/A | 0.049 | 0.280 | 0.109 | 0.335 | 0.369 | 0.369 | 0.437 | 0.458 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 77 | 289 | 222 | 113 | 264 | 94 | 179 |
N.S. | 1 | 1.00 | 0.81 | 3.04 | 2.34 | 1.19 | 2.78 | 0.99 | 1.88 |
time (sec) |
N/A | 0.036 | 0.202 | 0.086 | 0.307 | 0.364 | 0.240 | 0.415 | 0.207 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 55 | 50 | 112 | 90 | 53 | 126 | 48 | 57 |
N.S. | 1 | 1.00 | 0.91 | 2.04 | 1.64 | 0.96 | 2.29 | 0.87 | 1.04 |
time (sec) |
N/A | 0.017 | 0.123 | 0.059 | 0.288 | 0.387 | 0.123 | 0.550 | 0.096 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 78 | 78 | 65 | 114 | 163 | 88 | 0 | 610 | -1 |
N.S. | 1 | 1.00 | 0.83 | 1.46 | 2.09 | 1.13 | 0.00 | 7.82 | -0.01 |
time (sec) |
N/A | 0.114 | 0.079 | 0.084 | 0.383 | 0.381 | 0.000 | 0.437 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 83 | 75 | 156 | 171 | 127 | 0 | 534 | -1 |
N.S. | 1 | 1.00 | 0.90 | 1.88 | 2.06 | 1.53 | 0.00 | 6.43 | -0.01 |
time (sec) |
N/A | 0.095 | 0.413 | 0.123 | 0.381 | 0.379 | 0.000 | 0.503 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 112 | 112 | 102 | 193 | 204 | 218 | 0 | 5136 | -1 |
N.S. | 1 | 1.00 | 0.91 | 1.72 | 1.82 | 1.95 | 0.00 | 45.86 | -0.01 |
time (sec) |
N/A | 0.128 | 0.637 | 0.202 | 0.423 | 0.373 | 0.000 | 0.647 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 225 | 225 | 385 | 1023 | 925 | 350 | 772 | 351 | 532 |
N.S. | 1 | 1.00 | 1.71 | 4.55 | 4.11 | 1.56 | 3.43 | 1.56 | 2.36 |
time (sec) |
N/A | 0.164 | 0.589 | 0.182 | 0.336 | 0.394 | 0.782 | 0.500 | 1.143 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 175 | 175 | 121 | 560 | 535 | 227 | 495 | 231 | 364 |
N.S. | 1 | 1.00 | 0.69 | 3.20 | 3.06 | 1.30 | 2.83 | 1.32 | 2.08 |
time (sec) |
N/A | 0.110 | 0.614 | 0.176 | 0.318 | 0.384 | 0.528 | 0.484 | 0.724 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 123 | 123 | 93 | 265 | 267 | 128 | 284 | 137 | 173 |
N.S. | 1 | 1.00 | 0.76 | 2.15 | 2.17 | 1.04 | 2.31 | 1.11 | 1.41 |
time (sec) |
N/A | 0.064 | 0.392 | 0.136 | 0.309 | 0.379 | 0.337 | 0.463 | 0.592 |
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 | 52 | 95 | 103 | 60 | 126 | 69 | 77 |
N.S. | 1 | 1.00 | 0.69 | 1.27 | 1.37 | 0.80 | 1.68 | 0.92 | 1.03 |
time (sec) |
N/A | 0.028 | 0.127 | 0.087 | 0.305 | 0.378 | 0.204 | 0.511 | 0.260 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 121 | 121 | 103 | 171 | 278 | 153 | 0 | 6075 | -1 |
N.S. | 1 | 1.00 | 0.85 | 1.41 | 2.30 | 1.26 | 0.00 | 50.21 | -0.01 |
time (sec) |
N/A | 0.169 | 0.149 | 0.105 | 0.398 | 0.358 | 0.000 | 0.613 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 145 | 145 | 200 | 247 | 304 | 227 | 0 | 1000 | -1 |
N.S. | 1 | 1.00 | 1.38 | 1.70 | 2.10 | 1.57 | 0.00 | 6.90 | -0.01 |
time (sec) |
N/A | 0.160 | 0.464 | 0.164 | 0.436 | 0.462 | 0.000 | 0.565 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | B | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 184 | 184 | 221 | 316 | 339 | 375 | 0 | 115446 | -1 |
N.S. | 1 | 1.00 | 1.20 | 1.72 | 1.84 | 2.04 | 0.00 | 627.42 | -0.01 |
time (sec) |
N/A | 0.220 | 0.530 | 0.287 | 0.527 | 0.433 | 0.000 | 2.712 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 172 | 172 | 100 | 432 | 303 | 115 | 253 | 108 | 138 |
N.S. | 1 | 1.00 | 0.58 | 2.51 | 1.76 | 0.67 | 1.47 | 0.63 | 0.80 |
time (sec) |
N/A | 0.103 | 0.282 | 0.122 | 0.305 | 0.389 | 0.640 | 0.463 | 0.796 |
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 | 134 | 134 | 92 | 237 | 188 | 88 | 209 | 84 | 104 |
N.S. | 1 | 1.00 | 0.69 | 1.77 | 1.40 | 0.66 | 1.56 | 0.63 | 0.78 |
time (sec) |
N/A | 0.072 | 0.124 | 0.119 | 0.312 | 0.427 | 0.445 | 0.439 | 0.543 |
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 | 53 | 106 | 98 | 63 | 138 | 64 | 63 |
N.S. | 1 | 1.00 | 0.66 | 1.32 | 1.22 | 0.79 | 1.72 | 0.80 | 0.79 |
time (sec) |
N/A | 0.029 | 0.086 | 0.093 | 0.301 | 0.398 | 0.266 | 0.414 | 0.339 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | A | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 59 | 59 | 52 | 52 | 91 | 61 | 60 | 428 | -1 |
N.S. | 1 | 1.00 | 0.88 | 0.88 | 1.54 | 1.03 | 1.02 | 7.25 | -0.02 |
time (sec) |
N/A | 0.104 | 0.055 | 0.095 | 0.362 | 0.418 | 1.298 | 0.508 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 66 | 66 | 79 | 90 | 717 | 87 | 0 | 3220 | -1 |
N.S. | 1 | 1.00 | 1.20 | 1.36 | 10.86 | 1.32 | 0.00 | 48.79 | -0.02 |
time (sec) |
N/A | 0.102 | 0.146 | 0.122 | 0.385 | 0.358 | 0.000 | 0.475 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 90 | 90 | 119 | 124 | 790 | 130 | 0 | 3920 | -1 |
N.S. | 1 | 1.00 | 1.32 | 1.38 | 8.78 | 1.44 | 0.00 | 43.56 | -0.01 |
time (sec) |
N/A | 0.172 | 0.186 | 0.111 | 0.384 | 0.368 | 0.000 | 0.501 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 196 | 685 | 722 | 970 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 3.34 | 3.52 | 4.73 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.095 | 0.122 | 0.191 | 0.630 | 0.446 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 130 | 392 | 402 | 598 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.95 | 2.86 | 2.93 | 4.36 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.063 | 0.068 | 0.100 | 0.585 | 0.439 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 75 | 75 | 87 | 128 | 0 | 306 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.16 | 1.71 | 0.00 | 4.08 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.027 | 0.007 | 0.040 | 0.000 | 0.406 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.015 | 3.042 | 0.046 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 114 | 114 | 109 | 316 | 1059 | 790 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.96 | 2.77 | 9.29 | 6.93 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.133 | 0.345 | 0.127 | 0.611 | 0.432 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 82 | 82 | 75 | 170 | 324 | 450 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.91 | 2.07 | 3.95 | 5.49 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.089 | 0.171 | 0.074 | 0.582 | 0.427 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 28 | 28 | 36 | 52 | 159 | 45 | 0 | 1459 | 55 |
N.S. | 1 | 1.00 | 1.29 | 1.86 | 5.68 | 1.61 | 0.00 | 52.11 | 1.96 |
time (sec) |
N/A | 0.019 | 0.012 | 0.051 | 0.524 | 0.376 | 0.000 | 0.659 | 0.832 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.026 | 3.749 | 0.060 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 337 | 337 | 311 | 1127 | 3831 | 1315 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.92 | 3.34 | 11.37 | 3.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.160 | 1.818 | 0.273 | 1.982 | 0.488 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 184 | 584 | 1891 | 795 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 3.03 | 9.80 | 4.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.097 | 0.620 | 0.160 | 0.865 | 0.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | F | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 117 | 117 | 389 | 267 | 0 | 435 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 3.32 | 2.28 | 0.00 | 3.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.047 | 2.424 | 0.092 | 0.000 | 0.410 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 19 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.026 | 0.994 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 194 | 194 | 124 | 232 | 263 | 190 | 0 | 1239 | -1 |
N.S. | 1 | 1.00 | 0.64 | 1.20 | 1.36 | 0.98 | 0.00 | 6.39 | -0.01 |
time (sec) |
N/A | 0.289 | 0.038 | 0.061 | 0.336 | 0.394 | 0.000 | 0.609 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 169 | 169 | 122 | 189 | 242 | 156 | 0 | 773 | -1 |
N.S. | 1 | 1.00 | 0.72 | 1.12 | 1.43 | 0.92 | 0.00 | 4.57 | -0.01 |
time (sec) |
N/A | 0.170 | 0.061 | 0.041 | 0.324 | 0.369 | 0.000 | 0.495 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 142 | 142 | 124 | 144 | 196 | 126 | 0 | 422 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.01 | 1.38 | 0.89 | 0.00 | 2.97 | -0.01 |
time (sec) |
N/A | 0.116 | 0.061 | 0.040 | 0.321 | 0.382 | 0.000 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 118 | 118 | 124 | 100 | 159 | 108 | 0 | 166 | -1 |
N.S. | 1 | 1.00 | 1.05 | 0.85 | 1.35 | 0.92 | 0.00 | 1.41 | -0.01 |
time (sec) |
N/A | 0.092 | 0.037 | 0.043 | 0.325 | 0.376 | 0.000 | 0.451 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 139 | 139 | 147 | 140 | 129 | 144 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 1.01 | 0.93 | 1.04 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.139 | 0.218 | 0.040 | 0.622 | 0.389 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 190 | 180 | 129 | 208 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 1.07 | 0.77 | 1.24 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 0.211 | 0.041 | 0.627 | 0.404 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 228 | 220 | 129 | 296 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.18 | 1.14 | 0.67 | 1.53 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.199 | 0.239 | 0.040 | 0.606 | 0.422 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 231 | 231 | 194 | 242 | 295 | 258 | 0 | 1325 | -1 |
N.S. | 1 | 1.00 | 0.84 | 1.05 | 1.28 | 1.12 | 0.00 | 5.74 | -0.00 |
time (sec) |
N/A | 0.299 | 1.366 | 0.067 | 0.541 | 0.389 | 0.000 | 0.643 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 203 | 203 | 175 | 197 | 274 | 195 | 0 | 817 | -1 |
N.S. | 1 | 1.00 | 0.86 | 0.97 | 1.35 | 0.96 | 0.00 | 4.02 | -0.00 |
time (sec) |
N/A | 0.237 | 1.061 | 0.060 | 0.539 | 0.432 | 0.000 | 0.615 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 146 | 150 | 229 | 148 | 0 | 434 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.95 | 1.45 | 0.94 | 0.00 | 2.75 | -0.01 |
time (sec) |
N/A | 0.184 | 0.349 | 0.059 | 0.530 | 0.442 | 0.000 | 0.521 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 130 | 145 | 108 | 187 | 114 | 0 | 165 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.83 | 1.44 | 0.88 | 0.00 | 1.27 | -0.01 |
time (sec) |
N/A | 0.151 | 0.153 | 0.061 | 0.524 | 0.389 | 0.000 | 0.438 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 133 | 146 | 135 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.99 | 1.08 | 1.00 | 1.01 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.167 | 0.409 | 0.087 | 0.629 | 0.384 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 170 | 170 | 181 | 189 | 136 | 206 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.06 | 1.11 | 0.80 | 1.21 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.214 | 0.927 | 0.088 | 0.636 | 0.411 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 244 | 230 | 136 | 323 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 1.06 | 0.63 | 1.50 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.217 | 0.829 | 0.089 | 0.645 | 0.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | B | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 237 | 273 | 136 | 417 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 1.11 | 0.55 | 1.69 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.269 | 0.544 | 0.091 | 0.660 | 0.453 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F(-1) | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 410 | 410 | 542 | 474 | 547 | 368 | 0 | 2469 | -1 |
N.S. |
1 | 1.00 | 1.32 | 1.16 | 1.33 | 0.90 | 0.00 | 6.02 | -0.00 |
time (sec) |
N/A | 0.755 | 1.989 | 0.066 | 0.557 | 0.422 | 0.000 | 0.868 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 354 | 354 | 390 | 386 | 497 | 299 | 0 | 1541 | -1 |
N.S. | 1 | 1.00 | 1.10 | 1.09 | 1.40 | 0.84 | 0.00 | 4.35 | -0.00 |
time (sec) |
N/A | 0.639 | 1.030 | 0.060 | 0.582 | 0.409 | 0.000 | 0.723 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 304 | 304 | 254 | 294 | 424 | 245 | 0 | 844 | -1 |
N.S. | 1 | 1.00 | 0.84 | 0.97 | 1.39 | 0.81 | 0.00 | 2.78 | -0.00 |
time (sec) |
N/A | 0.313 | 0.282 | 0.059 | 0.561 | 0.425 | 0.000 | 0.567 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 236 | 212 | 377 | 213 | 0 | 330 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.82 | 1.47 | 0.83 | 0.00 | 1.28 | -0.00 |
time (sec) |
N/A | 0.260 | 0.234 | 0.061 | 0.524 | 0.391 | 0.000 | 0.465 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 299 | 286 | 253 | 265 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.10 | 1.06 | 0.93 | 0.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.341 | 1.008 | 0.061 | 0.705 | 0.385 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 268 | 368 | 253 | 367 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 1.26 | 0.87 | 1.26 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.487 | 1.313 | 0.060 | 0.703 | 0.449 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | C | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 356 | 356 | 465 | 450 | 254 | 528 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.31 | 1.26 | 0.71 | 1.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.518 | 4.470 | 0.058 | 0.712 | 0.443 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | C | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 49 | 49 | 55 | 34 | 74 | 35 | 83 | 69 | -1 |
N.S. | 1 | 1.00 | 1.12 | 0.69 | 1.51 | 0.71 | 1.69 | 1.41 | -0.02 |
time (sec) |
N/A | 0.037 | 0.009 | 0.042 | 0.523 | 0.378 | 3.167 | 0.443 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 36 | 36 | 48 | 27 | 67 | 26 | 61 | 53 | 26 |
N.S. | 1 | 1.00 | 1.33 | 0.75 | 1.86 | 0.72 | 1.69 | 1.47 | 0.72 |
time (sec) |
N/A | 0.023 | 0.005 | 0.031 | 0.516 | 0.395 | 0.511 | 0.564 | 0.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | C | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 51 | 19 | 60 | 18 | 37 | 35 | 18 |
N.S. | 1 | 1.00 | 2.12 | 0.79 | 2.50 | 0.75 | 1.54 | 1.46 | 0.75 |
time (sec) |
N/A | 0.014 | 0.007 | 0.030 | 0.521 | 0.385 | 0.463 | 0.409 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | A | C | A | A | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 35 | 35 | 63 | 28 | 21 | 31 | 61 | 0 | -1 |
N.S. | 1 | 1.00 | 1.80 | 0.80 | 0.60 | 0.89 | 1.74 | 0.00 | -0.03 |
time (sec) |
N/A | 0.023 | 0.029 | 0.035 | 0.563 | 0.407 | 1.005 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 183 | 183 | 122 | 0 | 235 | 132 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.67 | 0.00 | 1.28 | 0.72 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.160 | 0.073 | 0.038 | 0.361 | 0.126 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 124 | 0 | 186 | 102 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 1.22 | 0.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.098 | 0.074 | 0.037 | 0.358 | 0.102 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 152 | 152 | 124 | 0 | 186 | 102 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.82 | 0.00 | 1.22 | 0.67 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.097 | 0.065 | 0.036 | 0.351 | 0.109 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 124 | 0 | 137 | 86 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 1.01 | 0.64 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.072 | 0.039 | 0.036 | 0.357 | 0.118 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 124 | 0 | 138 | 86 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 1.02 | 0.64 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.078 | 0.040 | 0.036 | 0.340 | 0.095 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 121 | 0 | 138 | 117 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.80 | 0.00 | 0.91 | 0.77 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.093 | 0.034 | 0.036 | 0.369 | 0.111 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 153 | 153 | 121 | 0 | 138 | 117 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.79 | 0.00 | 0.90 | 0.76 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.097 | 0.036 | 0.036 | 0.366 | 0.131 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | A | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 125 | 0 | 137 | 185 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.69 | 0.00 | 0.75 | 1.02 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.129 | 0.035 | 0.036 | 0.368 | 0.104 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.012 | 107.445 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 133 | 0 | 57 | 0 | 0 | 15 |
N.S. | 1 | 1.00 | 1.00 | 8.31 | 0.00 | 3.56 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.006 | 0.013 | 0.046 | 0.000 | 0.100 | 0.000 | 0.000 | 0.183 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.018 | 0.380 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 61 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.024 | 1.197 | 0.022 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 36 | 179 | 0 | 68 | 0 | 0 | 35 |
N.S. | 1 | 1.00 | 0.86 | 4.26 | 0.00 | 1.62 | 0.00 | 0.00 | 0.83 |
time (sec) |
N/A | 0.013 | 0.023 | 0.000 | 0.000 | 0.119 | 0.000 | 0.000 | 0.188 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.019 | 9.493 | 0.020 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 42 | 42 | 40 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.039 | 0.193 | 0.161 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.055 | 3.119 | 0.018 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 15 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.07 |
time (sec) |
N/A | 0.012 | 0.203 | 0.002 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 16 | 16 | 16 | 18 | 0 | 51 | 0 | 0 | 15 |
N.S. | 1 | 1.00 | 1.00 | 1.12 | 0.00 | 3.19 | 0.00 | 0.00 | 0.94 |
time (sec) |
N/A | 0.007 | 0.013 | 0.000 | 0.000 | 0.087 | 0.000 | 0.000 | 0.200 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.020 | 0.138 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.025 | 1.610 | 0.019 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | C | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 38 | 182 | 0 | 93 | 0 | 0 | 42 |
N.S. | 1 | 1.00 | 1.00 | 4.79 | 0.00 | 2.45 | 0.00 | 0.00 | 1.11 |
time (sec) |
N/A | 0.013 | 0.036 | 0.000 | 0.000 | 0.121 | 0.000 | 0.000 | 0.437 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | F(-2) | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 17 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.06 |
time (sec) |
N/A | 0.020 | 8.428 | 0.021 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 38 | 38 | 33 | 0 | 0 | 0 | 0 | 0 | 51 |
N.S. |
1 | 1.00 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 1.34 |
time (sec) |
N/A | 0.040 | 0.215 | 0.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.657 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 20 | 20 | 17 | 0 | 0 | 0 | 0 | 0 | 15 |
N.S. |
1 | 1.00 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.75 |
time (sec) |
N/A | 0.030 | 0.063 | 0.204 | 0.000 | 0.000 | 0.000 | 0.000 | 0.332 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 15 | 0 | 0 | 16 |
N.S. | 1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.62 | 0.00 | 0.00 | 0.67 |
time (sec) |
N/A | 0.032 | 0.043 | 0.211 | 0.000 | 0.352 | 0.000 | 0.000 | 0.139 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F(-2) | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 33 | 0 | 0 | 0 | 0 | 0 | 31 |
N.S. |
1 | 1.00 | 0.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.66 |
time (sec) |
N/A | 0.044 | 0.086 | 0.308 | 0.000 | 0.000 | 0.000 | 0.000 | 0.527 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 32 | 32 | 29 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.03 |
time (sec) |
N/A | 0.060 | 0.091 | 0.205 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.059 | 0.053 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 24 | 24 | 17 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.71 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.04 |
time (sec) |
N/A | 0.056 | 0.085 | 0.114 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 47 | 47 | 45 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.068 | 0.078 | 0.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | F(-2) | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 62 | 62 | 51 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.82 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.02 |
time (sec) |
N/A | 0.110 | 0.058 | 0.110 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
N/A | A | A | A | A | A | A | A | A |
verified |
N/A | N/A | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 21 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.05 |
time (sec) |
N/A | 0.028 | 0.501 | 0.032 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 275 | 275 | 253 | 0 | 0 | 188 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.92 | 0.00 | 0.00 | 0.68 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.214 | 0.118 | 0.132 | 0.000 | 0.113 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | F | F | A | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 162 | 162 | 150 | 0 | 0 | 136 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.93 | 0.00 | 0.00 | 0.84 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.149 | 0.132 | 0.092 | 0.000 | 0.117 | 0.000 | 0.000 | 0.000 |