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 | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 362 | 416 | 436 | 629 | 486 | 415 | 451 |
N.S. | 1 | 1.00 | 1.95 | 2.24 | 2.34 | 3.38 | 2.61 | 2.23 | 2.42 |
time (sec) |
N/A | 0.142 | 0.135 | 0.913 | 0.316 | 2.520 | 16.563 | 1.110 | 0.192 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 217 | 273 | 294 | 393 | 337 | 266 | 301 |
N.S. | 1 | 1.00 | 1.51 | 1.90 | 2.04 | 2.73 | 2.34 | 1.85 | 2.09 |
time (sec) |
N/A | 0.100 | 0.090 | 0.904 | 0.288 | 2.303 | 7.213 | 2.017 | 2.336 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 101 | 101 | 138 | 164 | 189 | 210 | 211 | 161 | 178 |
N.S. | 1 | 1.00 | 1.37 | 1.62 | 1.87 | 2.08 | 2.09 | 1.59 | 1.76 |
time (sec) |
N/A | 0.051 | 0.050 | 0.776 | 0.280 | 2.316 | 3.118 | 1.385 | 2.253 |
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 | 73 | 73 | 61 | 79 | 100 | 96 | 107 | 75 | 91 |
N.S. | 1 | 1.00 | 0.84 | 1.08 | 1.37 | 1.32 | 1.47 | 1.03 | 1.25 |
time (sec) |
N/A | 0.040 | 0.022 | 0.717 | 0.294 | 1.415 | 0.919 | 0.738 | 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 | 38 | 38 | 27 | 35 | 50 | 50 | 53 | 25 | 52 |
N.S. | 1 | 1.00 | 0.71 | 0.92 | 1.32 | 1.32 | 1.39 | 0.66 | 1.37 |
time (sec) |
N/A | 0.016 | 0.008 | 0.819 | 0.269 | 2.760 | 0.203 | 0.679 | 0.033 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 146 | 146 | 136 | 143 | 444 | 604 | 818 | 364 | 398 |
N.S. | 1 | 1.00 | 0.93 | 0.98 | 3.04 | 4.14 | 5.60 | 2.49 | 2.73 |
time (sec) |
N/A | 0.090 | 0.065 | 0.860 | 0.293 | 2.047 | 1.690 | 0.889 | 2.543 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 199 | 199 | 189 | 203 | 739 | 1174 | 1445 | 411 | 711 |
N.S. | 1 | 1.00 | 0.95 | 1.02 | 3.71 | 5.90 | 7.26 | 2.07 | 3.57 |
time (sec) |
N/A | 0.156 | 0.104 | 5.415 | 0.322 | 2.056 | 3.236 | 0.846 | 2.815 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 208 | 475 | 976 | 178 | 226 | 328 | 1400 |
N.S. | 1 | 1.00 | 1.32 | 3.01 | 6.18 | 1.13 | 1.43 | 2.08 | 8.86 |
time (sec) |
N/A | 0.129 | 0.056 | 0.596 | 0.301 | 1.761 | 0.050 | 0.867 | 4.253 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 163 | 307 | 685 | 138 | 168 | 255 | 935 |
N.S. | 1 | 1.00 | 1.03 | 1.94 | 4.34 | 0.87 | 1.06 | 1.61 | 5.92 |
time (sec) |
N/A | 0.098 | 0.047 | 0.617 | 0.309 | 1.775 | 0.037 | 0.743 | 3.323 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 120 | 175 | 454 | 98 | 116 | 185 | 564 |
N.S. | 1 | 1.00 | 0.76 | 1.11 | 2.87 | 0.62 | 0.73 | 1.17 | 3.57 |
time (sec) |
N/A | 0.078 | 0.037 | 0.548 | 0.284 | 1.685 | 0.035 | 1.061 | 3.017 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 164 | 164 | 74 | 79 | 261 | 58 | 63 | 114 | 223 |
N.S. | 1 | 1.00 | 0.45 | 0.48 | 1.59 | 0.35 | 0.38 | 0.70 | 1.36 |
time (sec) |
N/A | 0.056 | 0.023 | 0.246 | 0.281 | 2.242 | 0.019 | 1.141 | 2.917 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | B | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 45 | 33 | 125 | 24 | 26 | 74 | 77 |
N.S. | 1 | 1.00 | 0.65 | 0.48 | 1.81 | 0.35 | 0.38 | 1.07 | 1.12 |
time (sec) |
N/A | 0.015 | 0.011 | 0.273 | 0.273 | 1.778 | 0.014 | 0.965 | 2.416 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 132 | 132 | 74 | 154 | 0 | 67 | 53 | 119 | -1 |
N.S. |
1 | 1.00 | 0.56 | 1.17 | 0.00 | 0.51 | 0.40 | 0.90 | -0.01 |
time (sec) |
N/A | 0.056 | 0.029 | 0.634 | 0.000 | 1.222 | 0.153 | 0.820 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 144 | 144 | 96 | 170 | 0 | 102 | 71 | 123 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.18 | 0.00 | 0.71 | 0.49 | 0.85 | -0.01 |
time (sec) |
N/A | 0.062 | 0.034 | 0.638 | 0.000 | 1.550 | 0.251 | 1.481 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 151 | 151 | 89 | 123 | 0 | 101 | 94 | 127 | -1 |
N.S. |
1 | 1.00 | 0.59 | 0.81 | 0.00 | 0.67 | 0.62 | 0.84 | -0.01 |
time (sec) |
N/A | 0.062 | 0.036 | 0.605 | 0.000 | 1.635 | 0.482 | 1.732 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 104 | 104 | 81 | 77 | 0 | 85 | 107 | 117 | 86 |
N.S. |
1 | 1.00 | 0.78 | 0.74 | 0.00 | 0.82 | 1.03 | 1.12 | 0.83 |
time (sec) |
N/A | 0.037 | 0.028 | 0.556 | 0.000 | 1.508 | 0.870 | 1.640 | 2.135 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 80 | 76 | 0 | 94 | 117 | 116 | 85 |
N.S. |
1 | 1.00 | 0.51 | 0.48 | 0.00 | 0.59 | 0.74 | 0.73 | 0.54 |
time (sec) |
N/A | 0.063 | 0.026 | 0.563 | 0.000 | 1.435 | 1.451 | 1.386 | 2.155 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 83 | 79 | 0 | 106 | 134 | 119 | 88 |
N.S. |
1 | 1.00 | 0.53 | 0.50 | 0.00 | 0.67 | 0.85 | 0.75 | 0.56 |
time (sec) |
N/A | 0.063 | 0.029 | 0.560 | 0.000 | 1.613 | 2.407 | 1.458 | 2.166 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | A | A | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 158 | 158 | 82 | 78 | 0 | 115 | 144 | 118 | 87 |
N.S. |
1 | 1.00 | 0.52 | 0.49 | 0.00 | 0.73 | 0.91 | 0.75 | 0.55 |
time (sec) |
N/A | 0.064 | 0.028 | 0.562 | 0.000 | 1.399 | 3.523 | 1.388 | 2.159 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 496 | 676 | 1289 | 519 | 0 | 922 | -1 |
N.S. | 1 | 1.00 | 1.66 | 2.27 | 4.33 | 1.74 | 0.00 | 3.09 | -0.00 |
time (sec) |
N/A | 0.335 | 0.151 | 0.806 | 0.291 | 1.464 | 0.000 | 1.210 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 410 | 552 | 978 | 427 | 0 | 758 | -1 |
N.S. | 1 | 1.00 | 1.38 | 1.85 | 3.28 | 1.43 | 0.00 | 2.54 | -0.00 |
time (sec) |
N/A | 0.257 | 0.110 | 0.813 | 0.289 | 1.370 | 0.000 | 0.841 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 320 | 428 | 685 | 335 | 0 | 594 | -1 |
N.S. | 1 | 1.00 | 1.24 | 1.65 | 2.64 | 1.29 | 0.00 | 2.29 | -0.00 |
time (sec) |
N/A | 0.211 | 0.101 | 0.796 | 0.284 | 1.591 | 0.000 | 1.536 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 233 | 304 | 454 | 243 | 0 | 431 | -1 |
N.S. | 1 | 1.00 | 1.18 | 1.54 | 2.29 | 1.23 | 0.00 | 2.18 | -0.01 |
time (sec) |
N/A | 0.151 | 0.071 | 0.947 | 0.286 | 3.518 | 0.000 | 1.201 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 144 | 180 | 261 | 151 | 0 | 267 | -1 |
N.S. | 1 | 1.00 | 1.07 | 1.33 | 1.93 | 1.12 | 0.00 | 1.98 | -0.01 |
time (sec) |
N/A | 0.093 | 0.047 | 0.840 | 0.275 | 2.014 | 0.000 | 0.911 | 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 | 69 | 69 | 83 | 90 | 125 | 69 | 0 | 144 | 42 |
N.S. | 1 | 1.00 | 1.20 | 1.30 | 1.81 | 1.00 | 0.00 | 2.09 | 0.61 |
time (sec) |
N/A | 0.014 | 0.021 | 0.691 | 0.300 | 2.416 | 0.000 | 1.247 | 2.212 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 187 | 358 | 0 | 252 | 0 | 428 | -1 |
N.S. |
1 | 1.00 | 0.79 | 1.52 | 0.00 | 1.07 | 0.00 | 1.81 | -0.00 |
time (sec) |
N/A | 0.111 | 0.088 | 0.814 | 0.000 | 2.091 | 0.000 | 0.837 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 285 | 285 | 262 | 540 | 0 | 378 | 0 | 425 | -1 |
N.S. |
1 | 1.00 | 0.92 | 1.89 | 0.00 | 1.33 | 0.00 | 1.49 | -0.00 |
time (sec) |
N/A | 0.169 | 0.107 | 0.805 | 0.000 | 2.602 | 0.000 | 1.037 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 256 | 566 | 0 | 399 | 0 | 417 | -1 |
N.S. |
1 | 1.00 | 0.91 | 2.02 | 0.00 | 1.42 | 0.00 | 1.49 | -0.00 |
time (sec) |
N/A | 0.149 | 0.113 | 0.814 | 0.000 | 2.450 | 0.000 | 1.377 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 284 | 284 | 251 | 512 | 0 | 390 | 0 | 411 | -1 |
N.S. |
1 | 1.00 | 0.88 | 1.80 | 0.00 | 1.37 | 0.00 | 1.45 | -0.00 |
time (sec) |
N/A | 0.129 | 0.109 | 0.810 | 0.000 | 1.962 | 0.000 | 1.434 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 257 | 257 | 240 | 394 | 0 | 334 | 0 | 419 | -1 |
N.S. |
1 | 1.00 | 0.93 | 1.53 | 0.00 | 1.30 | 0.00 | 1.63 | -0.00 |
time (sec) |
N/A | 0.119 | 0.108 | 0.796 | 0.000 | 2.435 | 0.000 | 1.254 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 229 | 315 | 0 | 283 | 0 | 425 | 577 |
N.S. |
1 | 1.00 | 2.16 | 2.97 | 0.00 | 2.67 | 0.00 | 4.01 | 5.44 |
time (sec) |
N/A | 0.037 | 0.078 | 0.823 | 0.000 | 2.614 | 0.000 | 1.434 | 2.197 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 229 | 316 | 0 | 294 | 0 | 426 | 577 |
N.S. |
1 | 1.00 | 1.19 | 1.64 | 0.00 | 1.52 | 0.00 | 2.21 | 2.99 |
time (sec) |
N/A | 0.093 | 0.077 | 0.810 | 0.000 | 1.850 | 0.000 | 1.081 | 2.175 |
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 | 298 | 298 | 233 | 317 | 0 | 306 | 0 | 427 | 577 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.00 | 1.03 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.139 | 0.081 | 0.808 | 0.000 | 2.274 | 0.000 | 1.423 | 2.219 |
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 | 298 | 298 | 229 | 315 | 0 | 313 | 0 | 425 | 577 |
N.S. |
1 | 1.00 | 0.77 | 1.06 | 0.00 | 1.05 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.119 | 0.077 | 0.809 | 0.000 | 1.938 | 0.000 | 1.354 | 2.273 |
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 | 298 | 298 | 232 | 317 | 0 | 326 | 0 | 427 | 577 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.00 | 1.09 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.116 | 0.089 | 0.810 | 0.000 | 2.601 | 0.000 | 1.300 | 2.578 |
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 | 298 | 298 | 232 | 317 | 0 | 336 | 0 | 427 | 577 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.00 | 1.13 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.115 | 0.082 | 0.807 | 0.000 | 2.765 | 0.000 | 1.116 | 2.389 |
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 | 298 | 298 | 233 | 317 | 0 | 345 | 0 | 427 | 577 |
N.S. |
1 | 1.00 | 0.78 | 1.06 | 0.00 | 1.16 | 0.00 | 1.43 | 1.94 |
time (sec) |
N/A | 0.115 | 0.078 | 0.827 | 0.000 | 2.291 | 0.000 | 1.980 | 2.359 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 436 | 436 | 876 | 1264 | 1686 | 965 | 0 | 1702 | -1 |
N.S. | 1 | 1.00 | 2.01 | 2.90 | 3.87 | 2.21 | 0.00 | 3.90 | -0.00 |
time (sec) |
N/A | 0.629 | 0.272 | 0.817 | 0.292 | 2.468 | 0.000 | 1.365 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 383 | 383 | 740 | 1068 | 1289 | 821 | 0 | 1446 | -1 |
N.S. | 1 | 1.00 | 1.93 | 2.79 | 3.37 | 2.14 | 0.00 | 3.78 | -0.00 |
time (sec) |
N/A | 0.505 | 0.230 | 0.816 | 0.297 | 3.623 | 0.000 | 1.285 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 611 | 872 | 978 | 677 | 0 | 1192 | -1 |
N.S. | 1 | 1.00 | 1.89 | 2.69 | 3.02 | 2.09 | 0.00 | 3.68 | -0.00 |
time (sec) |
N/A | 0.398 | 0.169 | 0.816 | 0.304 | 2.861 | 0.000 | 1.553 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 259 | 259 | 478 | 676 | 685 | 533 | 0 | 934 | -1 |
N.S. | 1 | 1.00 | 1.85 | 2.61 | 2.64 | 2.06 | 0.00 | 3.61 | -0.00 |
time (sec) |
N/A | 0.300 | 0.142 | 0.814 | 0.280 | 2.114 | 0.000 | 1.504 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 198 | 198 | 347 | 480 | 454 | 389 | 0 | 679 | -1 |
N.S. | 1 | 1.00 | 1.75 | 2.42 | 2.29 | 1.96 | 0.00 | 3.43 | -0.01 |
time (sec) |
N/A | 0.222 | 0.114 | 0.801 | 0.280 | 1.074 | 0.000 | 1.134 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 214 | 284 | 261 | 245 | 0 | 425 | -1 |
N.S. | 1 | 1.00 | 1.59 | 2.10 | 1.93 | 1.81 | 0.00 | 3.15 | -0.01 |
time (sec) |
N/A | 0.136 | 0.074 | 0.743 | 0.273 | 2.887 | 0.000 | 1.204 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 121 | 138 | 125 | 115 | 0 | 217 | -1 |
N.S. | 1 | 1.00 | 1.75 | 2.00 | 1.81 | 1.67 | 0.00 | 3.14 | -0.01 |
time (sec) |
N/A | 0.014 | 0.030 | 0.711 | 0.288 | 1.487 | 0.000 | 1.327 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 386 | 754 | 0 | 540 | 0 | 920 | -1 |
N.S. |
1 | 1.00 | 1.14 | 2.22 | 0.00 | 1.59 | 0.00 | 2.71 | -0.00 |
time (sec) |
N/A | 0.165 | 0.177 | 0.833 | 0.000 | 0.972 | 0.000 | 1.094 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 423 | 423 | 506 | 1084 | 0 | 767 | 0 | 905 | -1 |
N.S. |
1 | 1.00 | 1.20 | 2.56 | 0.00 | 1.81 | 0.00 | 2.14 | -0.00 |
time (sec) |
N/A | 0.367 | 0.194 | 0.835 | 0.000 | 2.300 | 0.000 | 1.947 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 424 | 424 | 501 | 1205 | 0 | 840 | 0 | 887 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.84 | 0.00 | 1.98 | 0.00 | 2.09 | -0.00 |
time (sec) |
N/A | 0.306 | 0.213 | 0.834 | 0.000 | 2.497 | 0.000 | 1.446 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 425 | 425 | 504 | 1233 | 0 | 862 | 0 | 874 | -1 |
N.S. |
1 | 1.00 | 1.19 | 2.90 | 0.00 | 2.03 | 0.00 | 2.06 | -0.00 |
time (sec) |
N/A | 0.493 | 0.235 | 0.835 | 0.000 | 1.400 | 0.000 | 2.097 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 421 | 421 | 497 | 1163 | 0 | 834 | 0 | 870 | -1 |
N.S. |
1 | 1.00 | 1.18 | 2.76 | 0.00 | 1.98 | 0.00 | 2.07 | -0.00 |
time (sec) |
N/A | 0.514 | 0.230 | 0.844 | 0.000 | 1.108 | 0.000 | 1.110 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 490 | 1012 | 0 | 770 | 0 | 863 | -1 |
N.S. |
1 | 1.00 | 1.16 | 2.40 | 0.00 | 1.82 | 0.00 | 2.05 | -0.00 |
time (sec) |
N/A | 0.337 | 0.209 | 0.822 | 0.000 | 1.295 | 0.000 | 1.123 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 365 | 365 | 477 | 809 | 0 | 669 | 0 | 871 | -1 |
N.S. |
1 | 1.00 | 1.31 | 2.22 | 0.00 | 1.83 | 0.00 | 2.39 | -0.00 |
time (sec) |
N/A | 0.192 | 0.208 | 0.793 | 0.000 | 1.146 | 0.000 | 1.929 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 465 | 687 | 0 | 586 | 0 | 917 | 1489 |
N.S. |
1 | 1.00 | 4.39 | 6.48 | 0.00 | 5.53 | 0.00 | 8.65 | 14.05 |
time (sec) |
N/A | 0.039 | 0.148 | 0.810 | 0.000 | 1.374 | 0.000 | 1.293 | 2.590 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F(-2) | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 193 | 193 | 466 | 688 | 0 | 598 | 0 | 918 | 1489 |
N.S. |
1 | 1.00 | 2.41 | 3.56 | 0.00 | 3.10 | 0.00 | 4.76 | 7.72 |
time (sec) |
N/A | 0.091 | 0.157 | 0.820 | 0.000 | 1.079 | 0.000 | 1.008 | 2.536 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 262 | 262 | 468 | 688 | 0 | 609 | 0 | 918 | 1489 |
N.S. |
1 | 1.00 | 1.79 | 2.63 | 0.00 | 2.32 | 0.00 | 3.50 | 5.68 |
time (sec) |
N/A | 0.125 | 0.147 | 0.814 | 0.000 | 1.515 | 0.000 | 1.919 | 2.639 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 468 | 689 | 0 | 622 | 0 | 919 | 1488 |
N.S. |
1 | 1.00 | 1.07 | 1.57 | 0.00 | 1.42 | 0.00 | 2.10 | 3.40 |
time (sec) |
N/A | 0.244 | 0.160 | 0.818 | 0.000 | 1.075 | 0.000 | 1.525 | 2.570 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 471 | 689 | 0 | 631 | 0 | 919 | 1489 |
N.S. |
1 | 1.00 | 1.08 | 1.57 | 0.00 | 1.44 | 0.00 | 2.10 | 3.40 |
time (sec) |
N/A | 0.209 | 0.158 | 0.813 | 0.000 | 1.721 | 0.000 | 0.990 | 2.596 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-2) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 438 | 438 | 465 | 687 | 0 | 637 | 0 | 917 | 1489 |
N.S. |
1 | 1.00 | 1.06 | 1.57 | 0.00 | 1.45 | 0.00 | 2.09 | 3.40 |
time (sec) |
N/A | 0.191 | 0.149 | 0.814 | 0.000 | 2.260 | 0.000 | 0.922 | 2.634 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 435 | 435 | 471 | 689 | 0 | 650 | 0 | 919 | 1489 |
N.S. |
1 | 1.00 | 1.08 | 1.58 | 0.00 | 1.49 | 0.00 | 2.11 | 3.42 |
time (sec) |
N/A | 0.195 | 0.153 | 0.808 | 0.000 | 3.590 | 0.000 | 1.088 | 2.622 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | A | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 185 | 356 | 424 | 263 | 221 | 431 | -1 |
N.S. | 1 | 1.00 | 0.75 | 1.44 | 1.71 | 1.06 | 0.89 | 1.74 | -0.00 |
time (sec) |
N/A | 0.089 | 0.096 | 0.643 | 0.284 | 4.100 | 0.428 | 1.376 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 191 | 191 | 118 | 212 | 241 | 156 | 117 | 254 | -1 |
N.S. | 1 | 1.00 | 0.62 | 1.11 | 1.26 | 0.82 | 0.61 | 1.33 | -0.01 |
time (sec) |
N/A | 0.068 | 0.058 | 0.719 | 0.276 | 2.153 | 0.286 | 1.419 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 134 | 134 | 72 | 104 | 106 | 77 | 53 | 122 | -1 |
N.S. | 1 | 1.00 | 0.54 | 0.78 | 0.79 | 0.57 | 0.40 | 0.91 | -0.01 |
time (sec) |
N/A | 0.052 | 0.030 | 0.565 | 0.272 | 2.527 | 0.144 | 1.043 | 0.000 |
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 | 40 | 43 | 52 | 25 | 20 | 45 | 79 |
N.S. | 1 | 1.00 | 0.58 | 0.62 | 0.75 | 0.36 | 0.29 | 0.65 | 1.14 |
time (sec) |
N/A | 0.017 | 0.013 | 0.545 | 0.281 | 2.822 | 0.065 | 1.496 | 2.471 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 107 | 107 | 66 | 76 | 0 | 56 | 226 | 87 | -1 |
N.S. |
1 | 1.00 | 0.62 | 0.71 | 0.00 | 0.52 | 2.11 | 0.81 | -0.01 |
time (sec) |
N/A | 0.055 | 0.029 | 0.661 | 0.000 | 2.860 | 1.011 | 1.063 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 148 | 148 | 97 | 161 | 0 | 147 | 355 | 190 | -1 |
N.S. |
1 | 1.00 | 0.66 | 1.09 | 0.00 | 0.99 | 2.40 | 1.28 | -0.01 |
time (sec) |
N/A | 0.052 | 0.098 | 0.794 | 0.000 | 2.342 | 0.701 | 1.017 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | A | B | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 212 | 212 | 131 | 321 | 0 | 332 | 558 | 306 | -1 |
N.S. |
1 | 1.00 | 0.62 | 1.51 | 0.00 | 1.57 | 2.63 | 1.44 | -0.00 |
time (sec) |
N/A | 0.099 | 0.118 | 0.802 | 0.000 | 2.541 | 1.183 | 1.139 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | B | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 271 | 271 | 168 | 545 | 0 | 593 | 818 | 494 | -1 |
N.S. |
1 | 1.00 | 0.62 | 2.01 | 0.00 | 2.19 | 3.02 | 1.82 | -0.00 |
time (sec) |
N/A | 0.118 | 0.116 | 0.787 | 0.000 | 3.225 | 1.641 | 1.390 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 329 | 329 | 373 | 858 | 734 | 632 | 0 | 444 | -1 |
N.S. | 1 | 1.00 | 1.13 | 2.61 | 2.23 | 1.92 | 0.00 | 1.35 | -0.00 |
time (sec) |
N/A | 0.229 | 0.176 | 0.951 | 0.291 | 2.253 | 0.000 | 1.133 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 249 | 249 | 256 | 556 | 473 | 419 | 0 | 312 | -1 |
N.S. | 1 | 1.00 | 1.03 | 2.23 | 1.90 | 1.68 | 0.00 | 1.25 | -0.00 |
time (sec) |
N/A | 0.146 | 0.113 | 0.955 | 0.275 | 1.999 | 0.000 | 1.154 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 151 | 303 | 274 | 239 | 0 | 179 | -1 |
N.S. | 1 | 1.00 | 0.81 | 1.63 | 1.47 | 1.28 | 0.00 | 0.96 | -0.01 |
time (sec) |
N/A | 0.103 | 0.068 | 0.965 | 0.275 | 2.229 | 0.000 | 3.242 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 127 | 127 | 86 | 109 | 125 | 108 | 0 | 93 | -1 |
N.S. | 1 | 1.00 | 0.68 | 0.86 | 0.98 | 0.85 | 0.00 | 0.73 | -0.01 |
time (sec) |
N/A | 0.065 | 0.035 | 0.803 | 0.277 | 2.136 | 0.000 | 3.248 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 69 | 69 | 39 | 32 | 56 | 38 | 0 | 32 | 42 |
N.S. | 1 | 1.00 | 0.57 | 0.46 | 0.81 | 0.55 | 0.00 | 0.46 | 0.61 |
time (sec) |
N/A | 0.016 | 0.012 | 0.817 | 0.285 | 1.958 | 0.000 | 2.080 | 2.053 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 196 | 196 | 132 | 315 | 0 | 347 | 0 | 285 | -1 |
N.S. |
1 | 1.00 | 0.67 | 1.61 | 0.00 | 1.77 | 0.00 | 1.45 | -0.01 |
time (sec) |
N/A | 0.107 | 0.083 | 1.000 | 0.000 | 1.293 | 0.000 | 2.580 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 174 | 828 | 0 | 783 | 0 | 456 | -1 |
N.S. |
1 | 1.00 | 0.65 | 3.11 | 0.00 | 2.94 | 0.00 | 1.71 | -0.00 |
time (sec) |
N/A | 0.164 | 0.138 | 1.028 | 0.000 | 1.511 | 0.000 | 1.310 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 332 | 332 | 220 | 1271 | 0 | 1193 | 0 | 615 | -1 |
N.S. |
1 | 1.00 | 0.66 | 3.83 | 0.00 | 3.59 | 0.00 | 1.85 | -0.00 |
time (sec) |
N/A | 0.209 | 0.201 | 1.000 | 0.000 | 1.558 | 0.000 | 2.006 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 513 | 1153 | 1004 | 860 | 0 | 618 | -1 |
N.S. | 1 | 1.00 | 1.38 | 3.09 | 2.69 | 2.31 | 0.00 | 1.66 | -0.00 |
time (sec) |
N/A | 0.276 | 0.243 | 0.974 | 0.358 | 1.204 | 0.000 | 1.247 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 310 | 310 | 331 | 735 | 751 | 570 | 0 | 432 | -1 |
N.S. | 1 | 1.00 | 1.07 | 2.37 | 2.42 | 1.84 | 0.00 | 1.39 | -0.00 |
time (sec) |
N/A | 0.195 | 0.155 | 0.904 | 0.343 | 1.921 | 0.000 | 1.134 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 227 | 227 | 239 | 385 | 531 | 335 | 0 | 286 | -1 |
N.S. | 1 | 1.00 | 1.05 | 1.70 | 2.34 | 1.48 | 0.00 | 1.26 | -0.00 |
time (sec) |
N/A | 0.118 | 0.104 | 0.924 | 0.295 | 1.324 | 0.000 | 1.570 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 106 | 106 | 142 | 174 | 276 | 182 | 0 | 172 | 302 |
N.S. | 1 | 1.00 | 1.34 | 1.64 | 2.60 | 1.72 | 0.00 | 1.62 | 2.85 |
time (sec) |
N/A | 0.042 | 0.054 | 0.894 | 0.284 | 0.569 | 0.000 | 1.235 | 2.360 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 135 | 135 | 75 | 77 | 126 | 105 | 0 | 82 | 87 |
N.S. | 1 | 1.00 | 0.56 | 0.57 | 0.93 | 0.78 | 0.00 | 0.61 | 0.64 |
time (sec) |
N/A | 0.066 | 0.035 | 0.772 | 0.273 | 1.198 | 0.000 | 1.339 | 2.238 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 39 | 33 | 56 | 61 | 0 | 33 | 43 |
N.S. | 1 | 1.00 | 0.55 | 0.46 | 0.79 | 0.86 | 0.00 | 0.46 | 0.61 |
time (sec) |
N/A | 0.015 | 0.014 | 0.809 | 0.273 | 0.704 | 0.000 | 1.073 | 2.124 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 302 | 302 | 182 | 777 | 0 | 909 | 0 | 600 | -1 |
N.S. |
1 | 1.00 | 0.60 | 2.57 | 0.00 | 3.01 | 0.00 | 1.99 | -0.00 |
time (sec) |
N/A | 0.177 | 0.113 | 0.958 | 0.000 | 0.855 | 0.000 | 0.744 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 388 | 388 | 250 | 1652 | 0 | 1657 | 0 | 841 | -1 |
N.S. |
1 | 1.00 | 0.64 | 4.26 | 0.00 | 4.27 | 0.00 | 2.17 | -0.00 |
time (sec) |
N/A | 0.292 | 0.200 | 1.089 | 0.000 | 1.489 | 0.000 | 1.164 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 302 | 2420 | 0 | 2383 | 0 | 1086 | -1 |
N.S. |
1 | 1.00 | 0.66 | 5.26 | 0.00 | 5.18 | 0.00 | 2.36 | -0.00 |
time (sec) |
N/A | 0.360 | 0.283 | 1.043 | 0.000 | 1.352 | 0.000 | 1.158 | 0.000 |
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 | 128 | 128 | 138 | 148 | 168 | 409 | 1020 | 1913 | 115 |
N.S. | 1 | 1.00 | 1.08 | 1.16 | 1.31 | 3.20 | 7.97 | 14.95 | 0.90 |
time (sec) |
N/A | 0.049 | 0.126 | 0.636 | 0.280 | 1.570 | 0.716 | 1.004 | 2.043 |
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 | 128 | 128 | 138 | 148 | 168 | 344 | 857 | 1368 | 115 |
N.S. | 1 | 1.00 | 1.08 | 1.16 | 1.31 | 2.69 | 6.70 | 10.69 | 0.90 |
time (sec) |
N/A | 0.035 | 0.130 | 0.638 | 0.281 | 1.405 | 0.467 | 0.926 | 2.112 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 139 | 148 | 168 | 277 | 586 | 901 | 115 |
N.S. | 1 | 1.00 | 1.09 | 1.16 | 1.31 | 2.16 | 4.58 | 7.04 | 0.90 |
time (sec) |
N/A | 0.035 | 0.116 | 0.647 | 0.274 | 0.956 | 11.159 | 1.278 | 0.069 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 128 | 128 | 138 | 148 | 168 | 208 | 201 | 511 | 115 |
N.S. | 1 | 1.00 | 1.08 | 1.16 | 1.31 | 1.62 | 1.57 | 3.99 | 0.90 |
time (sec) |
N/A | 0.035 | 0.107 | 0.644 | 0.276 | 1.162 | 2.266 | 1.300 | 0.074 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 126 | 126 | 137 | 147 | 168 | 147 | 583 | 215 | 115 |
N.S. | 1 | 1.00 | 1.09 | 1.17 | 1.33 | 1.17 | 4.63 | 1.71 | 0.91 |
time (sec) |
N/A | 0.035 | 0.102 | 0.615 | 0.273 | 1.290 | 25.593 | 0.932 | 0.075 |
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 | 124 | 124 | 135 | 200 | 174 | 155 | 150 | 219 | 154 |
N.S. | 1 | 1.00 | 1.09 | 1.61 | 1.40 | 1.25 | 1.21 | 1.77 | 1.24 |
time (sec) |
N/A | 0.034 | 0.111 | 0.673 | 0.274 | 0.829 | 13.317 | 0.818 | 0.084 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 136 | 174 | 170 | 164 | 709 | 206 | 189 |
N.S. | 1 | 1.00 | 1.10 | 1.40 | 1.37 | 1.32 | 5.72 | 1.66 | 1.52 |
time (sec) |
N/A | 0.035 | 0.139 | 0.681 | 0.270 | 1.151 | 0.460 | 0.823 | 1.987 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | B | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 124 | 124 | 136 | 158 | 171 | 175 | 1015 | 202 | 168 |
N.S. | 1 | 1.00 | 1.10 | 1.27 | 1.38 | 1.41 | 8.19 | 1.63 | 1.35 |
time (sec) |
N/A | 0.034 | 0.128 | 0.695 | 0.275 | 1.082 | 0.685 | 1.069 | 0.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 339 | 352 | 428 | 868 | 2091 | 3913 | 197 |
N.S. | 1 | 1.00 | 1.56 | 1.61 | 1.96 | 3.98 | 9.59 | 17.95 | 0.90 |
time (sec) |
N/A | 0.092 | 0.325 | 0.969 | 0.281 | 1.394 | 1.051 | 1.939 | 1.977 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 340 | 352 | 428 | 747 | 2193 | 2860 | 197 |
N.S. | 1 | 1.00 | 1.56 | 1.61 | 1.96 | 3.43 | 10.06 | 13.12 | 0.90 |
time (sec) |
N/A | 0.064 | 0.306 | 0.949 | 0.284 | 1.400 | 36.639 | 1.378 | 1.921 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 339 | 352 | 428 | 624 | 1297 | 1937 | 197 |
N.S. | 1 | 1.00 | 1.56 | 1.61 | 1.96 | 2.86 | 5.95 | 8.89 | 0.90 |
time (sec) |
N/A | 0.064 | 0.305 | 0.924 | 0.276 | 1.260 | 23.090 | 0.853 | 0.061 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 339 | 352 | 428 | 505 | 517 | 1144 | 197 |
N.S. | 1 | 1.00 | 1.56 | 1.61 | 1.96 | 2.32 | 2.37 | 5.25 | 0.90 |
time (sec) |
N/A | 0.063 | 0.289 | 0.914 | 0.276 | 1.666 | 4.133 | 1.457 | 1.933 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | B | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 216 | 216 | 338 | 351 | 428 | 388 | 1311 | 503 | 197 |
N.S. | 1 | 1.00 | 1.56 | 1.62 | 1.98 | 1.80 | 6.07 | 2.33 | 0.91 |
time (sec) |
N/A | 0.062 | 0.281 | 0.908 | 0.280 | 1.573 | 62.829 | 1.771 | 0.058 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 335 | 558 | 434 | 396 | 394 | 587 | 296 |
N.S. | 1 | 1.00 | 1.57 | 2.61 | 2.03 | 1.85 | 1.84 | 2.74 | 1.38 |
time (sec) |
N/A | 0.059 | 0.269 | 0.932 | 0.289 | 1.466 | 37.239 | 1.126 | 1.954 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | A | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 336 | 505 | 432 | 407 | 304 | 567 | 367 |
N.S. | 1 | 1.00 | 1.57 | 2.36 | 2.02 | 1.90 | 1.42 | 2.65 | 1.71 |
time (sec) |
N/A | 0.063 | 0.326 | 0.895 | 0.293 | 1.415 | 48.193 | 0.898 | 1.944 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | B | B | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 214 | 214 | 337 | 462 | 433 | 415 | 2440 | 567 | 413 |
N.S. | 1 | 1.00 | 1.57 | 2.16 | 2.02 | 1.94 | 11.40 | 2.65 | 1.93 |
time (sec) |
N/A | 0.061 | 0.286 | 0.985 | 0.283 | 1.375 | 0.894 | 1.143 | 1.996 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | B | B | A | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 308 | 308 | 628 | 938 | 800 | 1433 | 5414 | 6433 | 279 |
N.S. | 1 | 1.00 | 2.04 | 3.05 | 2.60 | 4.65 | 17.58 | 20.89 | 0.91 |
time (sec) |
N/A | 0.128 | 0.563 | 0.928 | 0.282 | 1.762 | 88.469 | 1.519 | 2.022 |