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 | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 415 | 415 | 387 | 959 | 441 | 405 | 0 | 1533 | 2500 |
N.S. |
1 | 1.00 | 0.93 | 2.31 | 1.06 | 0.98 | 0.00 | 3.69 | 6.02 |
time (sec) |
N/A | 0.457 | 1.288 | 0.118 | 0.525 | 1.456 | 0.000 | 1.805 | 47.789 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 286 | 286 | 279 | 652 | 307 | 280 | 0 | 1059 | 2500 |
N.S. |
1 | 1.00 | 0.98 | 2.28 | 1.07 | 0.98 | 0.00 | 3.70 | 8.74 |
time (sec) |
N/A | 0.352 | 0.922 | 0.112 | 0.564 | 1.184 | 0.000 | 1.783 | 36.028 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 170 | 173 | 377 | 180 | 174 | 0 | 637 | 736 |
N.S. |
1 | 1.01 | 1.03 | 2.24 | 1.07 | 1.04 | 0.00 | 3.79 | 4.38 |
time (sec) |
N/A | 0.158 | 0.613 | 0.109 | 0.483 | 0.880 | 0.000 | 1.489 | 12.065 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | B | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 95 | 95 | 107 | 185 | 93 | 95 | 1137 | 284 | 361 |
N.S. | 1 | 1.00 | 1.13 | 1.95 | 0.98 | 1.00 | 11.97 | 2.99 | 3.80 |
time (sec) |
N/A | 0.046 | 0.276 | 0.107 | 0.544 | 1.172 | 223.065 | 0.837 | 7.209 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F(-2) | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 559 | 373 | 0 | 457 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 4.58 | 3.06 | 0.00 | 3.75 | 0.00 | 0.00 | 20.49 |
time (sec) |
N/A | 0.201 | 2.207 | 0.139 | 0.000 | 8.241 | 0.000 | 0.000 | 25.801 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 211 | 899 | 0 | 969 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.29 | 5.52 | 0.00 | 5.94 | 0.00 | 0.00 | 15.34 |
time (sec) |
N/A | 0.213 | 10.293 | 0.112 | 0.000 | 32.090 | 0.000 | 0.000 | 52.173 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 273 | 1449 | 0 | 1502 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 5.84 | 0.00 | 6.06 | 0.00 | 0.00 | 10.08 |
time (sec) |
N/A | 0.233 | 10.332 | 0.110 | 0.000 | 1.199 | 0.000 | 0.000 | 59.182 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 340 | 340 | 273 | 643 | 353 | 285 | 0 | 373 | 2500 |
N.S. |
1 | 1.00 | 0.80 | 1.89 | 1.04 | 0.84 | 0.00 | 1.10 | 7.35 |
time (sec) |
N/A | 0.414 | 1.008 | 0.116 | 0.490 | 0.769 | 0.000 | 1.356 | 35.295 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 228 | 228 | 195 | 423 | 232 | 193 | 0 | 234 | 1732 |
N.S. |
1 | 1.00 | 0.86 | 1.86 | 1.02 | 0.85 | 0.00 | 1.03 | 7.60 |
time (sec) |
N/A | 0.320 | 0.654 | 0.118 | 0.552 | 1.257 | 0.000 | 2.112 | 33.636 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 130 | 133 | 120 | 235 | 135 | 117 | 0 | 117 | 492 |
N.S. |
1 | 1.02 | 0.92 | 1.81 | 1.04 | 0.90 | 0.00 | 0.90 | 3.78 |
time (sec) |
N/A | 0.145 | 0.460 | 0.118 | 0.485 | 1.404 | 0.000 | 1.702 | 12.857 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 82 | 117 | 57 | 67 | 0 | 60 | 232 |
N.S. |
1 | 1.00 | 1.30 | 1.86 | 0.90 | 1.06 | 0.00 | 0.95 | 3.68 |
time (sec) |
N/A | 0.040 | 0.257 | 0.115 | 0.525 | 0.819 | 0.000 | 2.373 | 7.525 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F(-2) | A | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 122 | 122 | 559 | 373 | 0 | 457 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 4.58 | 3.06 | 0.00 | 3.75 | 0.00 | 0.00 | 20.49 |
time (sec) |
N/A | 0.179 | 0.401 | 0.000 | 0.000 | 7.260 | 0.000 | 0.000 | 0.005 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | B | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 163 | 163 | 211 | 899 | 0 | 969 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.29 | 5.52 | 0.00 | 5.94 | 0.00 | 0.00 | 15.34 |
time (sec) |
N/A | 0.187 | 10.289 | 0.000 | 0.000 | 40.515 | 0.000 | 0.000 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F(-2) | B | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 248 | 248 | 273 | 1449 | 0 | 1502 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 5.84 | 0.00 | 6.06 | 0.00 | 0.00 | 10.08 |
time (sec) |
N/A | 0.208 | 10.167 | 0.000 | 0.000 | 1.212 | 0.000 | 0.000 | 0.007 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 79 | 79 | 89 | 139 | 87 | 78 | 0 | 76 | 244 |
N.S. |
1 | 1.00 | 1.13 | 1.76 | 1.10 | 0.99 | 0.00 | 0.96 | 3.09 |
time (sec) |
N/A | 0.097 | 0.027 | 0.001 | 0.610 | 0.670 | 0.000 | 0.849 | 7.606 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 63 | 63 | 82 | 117 | 57 | 67 | 0 | 60 | 232 |
N.S. |
1 | 1.00 | 1.30 | 1.86 | 0.90 | 1.06 | 0.00 | 0.95 | 3.68 |
time (sec) |
N/A | 0.040 | 0.026 | 0.000 | 0.578 | 0.965 | 0.000 | 1.454 | 7.411 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 93 | 96 | 57 | 81 | 245 | 0 | 122 |
N.S. |
1 | 1.00 | 1.94 | 2.00 | 1.19 | 1.69 | 5.10 | 0.00 | 2.54 |
time (sec) |
N/A | 0.114 | 0.035 | 0.000 | 0.577 | 1.373 | 43.363 | 0.000 | 4.331 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | C | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 48 | 48 | 93 | 97 | 57 | 84 | 221 | 0 | 114 |
N.S. |
1 | 1.00 | 1.94 | 2.02 | 1.19 | 1.75 | 4.60 | 0.00 | 2.38 |
time (sec) |
N/A | 0.108 | 0.032 | 0.000 | 0.481 | 1.213 | 41.012 | 0.000 | 4.266 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 71 | 71 | 69 | 108 | 98 | 65 | 0 | 0 | 312 |
N.S. |
1 | 1.00 | 0.97 | 1.52 | 1.38 | 0.92 | 0.00 | 0.00 | 4.39 |
time (sec) |
N/A | 0.114 | 0.021 | 0.000 | 0.496 | 1.101 | 0.000 | 0.000 | 6.304 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 591 | 584 | 402 | 1370 | 581 | 997 | 0 | 2665 | -1 |
N.S. |
1 | 0.99 | 0.68 | 2.32 | 0.98 | 1.69 | 0.00 | 4.51 | -0.00 |
time (sec) |
N/A | 0.979 | 1.178 | 0.115 | 0.513 | 1.443 | 0.000 | 2.399 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 451 | 450 | 286 | 933 | 417 | 703 | 0 | 1868 | -1 |
N.S. |
1 | 1.00 | 0.63 | 2.07 | 0.92 | 1.56 | 0.00 | 4.14 | -0.00 |
time (sec) |
N/A | 0.638 | 0.810 | 0.108 | 0.520 | 1.446 | 0.000 | 1.540 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 300 | 297 | 183 | 554 | 254 | 449 | 0 | 1148 | 1765 |
N.S. | 1 | 0.99 | 0.61 | 1.85 | 0.85 | 1.50 | 0.00 | 3.83 | 5.88 |
time (sec) |
N/A | 0.285 | 0.504 | 0.104 | 0.555 | 1.458 | 0.000 | 1.060 | 30.577 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 221 | 221 | 123 | 269 | 140 | 265 | 0 | 527 | 876 |
N.S. | 1 | 1.00 | 0.56 | 1.22 | 0.63 | 1.20 | 0.00 | 2.38 | 3.96 |
time (sec) |
N/A | 0.099 | 0.239 | 0.113 | 0.548 | 0.770 | 0.000 | 1.064 | 16.517 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 178 | 487 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.64 | 1.75 | 0.00 | 0.00 | 0.00 | 0.00 | 8.99 |
time (sec) |
N/A | 0.320 | 0.505 | 0.128 | 0.000 | 0.000 | 0.000 | 0.000 | 44.562 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | A | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 229 | 1166 | 0 | 0 | 0 | 523 | -1 |
N.S. |
1 | 1.00 | 0.71 | 3.62 | 0.00 | 0.00 | 0.00 | 1.62 | -0.00 |
time (sec) |
N/A | 0.377 | 0.969 | 0.108 | 0.000 | 0.000 | 0.000 | 1.341 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 363 | 361 | 252 | 1794 | 0 | 1347 | 0 | 1410 | 2500 |
N.S. |
1 | 0.99 | 0.69 | 4.94 | 0.00 | 3.71 | 0.00 | 3.88 | 6.89 |
time (sec) |
N/A | 0.449 | 1.437 | 0.106 | 0.000 | 61.830 | 0.000 | 2.541 | 86.666 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 501 | 496 | 283 | 913 | 469 | 698 | 0 | 571 | 2500 |
N.S. |
1 | 0.99 | 0.56 | 1.82 | 0.94 | 1.39 | 0.00 | 1.14 | 4.99 |
time (sec) |
N/A | 0.819 | 0.801 | 0.108 | 0.529 | 1.582 | 0.000 | 1.389 | 161.428 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 368 | 369 | 200 | 599 | 318 | 484 | 0 | 366 | 2500 |
N.S. |
1 | 1.00 | 0.54 | 1.63 | 0.86 | 1.32 | 0.00 | 0.99 | 6.79 |
time (sec) |
N/A | 0.569 | 0.489 | 0.104 | 0.505 | 1.321 | 0.000 | 1.010 | 81.648 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 246 | 249 | 128 | 343 | 193 | 308 | 0 | 199 | 1011 |
N.S. |
1 | 1.01 | 0.52 | 1.39 | 0.78 | 1.25 | 0.00 | 0.81 | 4.11 |
time (sec) |
N/A | 0.261 | 0.270 | 0.109 | 0.511 | 0.976 | 0.000 | 0.705 | 30.743 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | A | A | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 177 | 177 | 90 | 168 | 88 | 196 | 0 | 106 | 489 |
N.S. |
1 | 1.00 | 0.51 | 0.95 | 0.50 | 1.11 | 0.00 | 0.60 | 2.76 |
time (sec) |
N/A | 0.085 | 0.139 | 0.104 | 0.486 | 1.584 | 0.000 | 0.630 | 14.952 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F | F(-2) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 278 | 278 | 178 | 487 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.64 | 1.75 | 0.00 | 0.00 | 0.00 | 0.00 | 8.99 |
time (sec) |
N/A | 0.292 | 0.220 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 322 | 322 | 229 | 1166 | 0 | 0 | 0 | 523 | 2500 |
N.S. |
1 | 1.00 | 0.71 | 3.62 | 0.00 | 0.00 | 0.00 | 1.62 | 7.76 |
time (sec) |
N/A | 0.338 | 0.340 | 0.000 | 0.000 | 0.000 | 0.000 | 0.781 | 19.397 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 363 | 361 | 252 | 1794 | 0 | 1347 | 0 | 1410 | 2500 |
N.S. |
1 | 0.99 | 0.69 | 4.94 | 0.00 | 3.71 | 0.00 | 3.88 | 6.89 |
time (sec) |
N/A | 0.395 | 0.467 | 0.000 | 0.000 | 54.947 | 0.000 | 0.993 | 0.008 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 87 | 151 | 74 | 137 | 100 | 73 | 0 | 105 | 318 |
N.S. |
1 | 1.74 | 0.85 | 1.57 | 1.15 | 0.84 | 0.00 | 1.21 | 3.66 |
time (sec) |
N/A | 0.096 | 0.080 | 0.000 | 0.305 | 1.142 | 0.000 | 0.550 | 14.762 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | C | B | A | F(-1) | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 52 | 135 | 63 | 120 | 90 | 61 | 0 | 80 | 312 |
N.S. |
1 | 2.60 | 1.21 | 2.31 | 1.73 | 1.17 | 0.00 | 1.54 | 6.00 |
time (sec) |
N/A | 0.049 | 0.047 | 0.000 | 0.270 | 1.256 | 0.000 | 0.552 | 14.587 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | C | A | A | C | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 135 | 69 | 95 | 56 | 73 | 240 | 71 | 118 |
N.S. | 1 | 2.45 | 1.25 | 1.73 | 1.02 | 1.33 | 4.36 | 1.29 | 2.15 |
time (sec) |
N/A | 0.119 | 0.048 | 0.000 | 0.489 | 0.922 | 41.456 | 0.676 | 5.391 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | B | A | C | A | A | C | A | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 55 | 135 | 69 | 96 | 56 | 82 | 216 | 83 | 118 |
N.S. | 1 | 2.45 | 1.25 | 1.75 | 1.02 | 1.49 | 3.93 | 1.51 | 2.15 |
time (sec) |
N/A | 0.115 | 0.075 | 0.000 | 0.506 | 0.898 | 40.651 | 0.548 | 5.151 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 83 | 129 | 60 | 103 | 61 | 69 | 0 | 145 | 316 |
N.S. |
1 | 1.55 | 0.72 | 1.24 | 0.73 | 0.83 | 0.00 | 1.75 | 3.81 |
time (sec) |
N/A | 0.120 | 0.066 | 0.000 | 0.509 | 1.343 | 0.000 | 0.828 | 12.773 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | A | A | F(-1) | B | B |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 116 | 171 | 71 | 123 | 86 | 90 | 0 | 197 | 304 |
N.S. |
1 | 1.47 | 0.61 | 1.06 | 0.74 | 0.78 | 0.00 | 1.70 | 2.62 |
time (sec) |
N/A | 0.143 | 0.066 | 0.000 | 0.503 | 1.099 | 0.000 | 0.740 | 11.819 |
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 | 199 | 242 | 185 | 1095 | 0 | 1137 | 0 | 605 | 2500 |
N.S. |
1 | 1.22 | 0.93 | 5.50 | 0.00 | 5.71 | 0.00 | 3.04 | 12.56 |
time (sec) |
N/A | 0.228 | 0.738 | 0.118 | 0.000 | 0.956 | 0.000 | 0.873 | 66.847 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1348 | 1345 | 1253 | 5734 | 0 | 3091 | 0 | 4708 | -1 |
N.S. |
1 | 1.00 | 0.93 | 4.25 | 0.00 | 2.29 | 0.00 | 3.49 | -0.00 |
time (sec) |
N/A | 1.517 | 6.931 | 0.099 | 0.000 | 4.195 | 0.000 | 1.220 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 721 | 719 | 662 | 3025 | 0 | 1621 | 0 | 2643 | -1 |
N.S. |
1 | 1.00 | 0.92 | 4.20 | 0.00 | 2.25 | 0.00 | 3.67 | -0.00 |
time (sec) |
N/A | 0.615 | 3.408 | 0.099 | 0.000 | 1.842 | 0.000 | 0.959 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 330 | 330 | 283 | 1207 | 0 | 845 | 0 | 1103 | -1 |
N.S. |
1 | 1.00 | 0.86 | 3.66 | 0.00 | 2.56 | 0.00 | 3.34 | -0.00 |
time (sec) |
N/A | 0.198 | 0.997 | 0.098 | 0.000 | 1.204 | 0.000 | 1.004 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 450 | 453 | 404 | 3898 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.01 | 0.90 | 8.66 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.913 | 2.009 | 0.102 | 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(-2) | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 521 | 521 | 358 | 4680 | 0 | 0 | 0 | 1585 | -1 |
N.S. |
1 | 1.00 | 0.69 | 8.98 | 0.00 | 0.00 | 0.00 | 3.04 | -0.00 |
time (sec) |
N/A | 1.137 | 2.841 | 0.104 | 0.000 | 0.000 | 0.000 | 2.274 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 658 | 657 | 536 | 11204 | 0 | 0 | 0 | 8347 | -1 |
N.S. |
1 | 1.00 | 0.81 | 17.03 | 0.00 | 0.00 | 0.00 | 12.69 | -0.00 |
time (sec) |
N/A | 1.753 | 7.456 | 0.112 | 0.000 | 0.000 | 0.000 | 7.150 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1032 | 1032 | 888 | 3958 | 0 | 2173 | 0 | 1505 | -1 |
N.S. |
1 | 1.00 | 0.86 | 3.84 | 0.00 | 2.11 | 0.00 | 1.46 | -0.00 |
time (sec) |
N/A | 1.125 | 7.440 | 0.113 | 0.000 | 2.654 | 0.000 | 1.167 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F(-1) | A | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 540 | 540 | 454 | 2002 | 0 | 1117 | 0 | 736 | -1 |
N.S. |
1 | 1.00 | 0.84 | 3.71 | 0.00 | 2.07 | 0.00 | 1.36 | -0.00 |
time (sec) |
N/A | 0.450 | 2.870 | 0.102 | 0.000 | 1.630 | 0.000 | 0.833 | 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 | 246 | 246 | 199 | 763 | 0 | 581 | 0 | 315 | 1832 |
N.S. |
1 | 1.00 | 0.81 | 3.10 | 0.00 | 2.36 | 0.00 | 1.28 | 7.45 |
time (sec) |
N/A | 0.151 | 0.890 | 0.099 | 0.000 | 1.771 | 0.000 | 0.827 | 90.550 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 367 | 1822 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.27 | 6.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.456 | 10.425 | 0.105 | 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(-2) | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 364 | 364 | 421 | 3670 | 0 | 0 | 0 | 1388 | -1 |
N.S. |
1 | 1.00 | 1.16 | 10.08 | 0.00 | 0.00 | 0.00 | 3.81 | -0.00 |
time (sec) |
N/A | 0.725 | 10.702 | 0.105 | 0.000 | 0.000 | 0.000 | 2.218 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 484 | 484 | 693 | 9100 | 0 | 0 | 0 | 8004 | -1 |
N.S. |
1 | 1.00 | 1.43 | 18.80 | 0.00 | 0.00 | 0.00 | 16.54 | -0.00 |
time (sec) |
N/A | 1.050 | 11.946 | 0.105 | 0.000 | 0.000 | 0.000 | 26.354 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 685 | 685 | 847 | 15990 | 0 | 0 | 0 | 25485 | -1 |
N.S. |
1 | 1.00 | 1.24 | 23.34 | 0.00 | 0.00 | 0.00 | 37.20 | -0.00 |
time (sec) |
N/A | 1.219 | 11.897 | 0.105 | 0.000 | 0.000 | 0.000 | 67.226 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | A | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 718 | 715 | 632 | 2528 | 0 | 1441 | 0 | 951 | -1 |
N.S. |
1 | 1.00 | 0.88 | 3.52 | 0.00 | 2.01 | 0.00 | 1.32 | -0.00 |
time (sec) |
N/A | 0.864 | 2.559 | 0.102 | 0.000 | 3.734 | 0.000 | 1.328 | 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 | 371 | 369 | 314 | 1199 | 0 | 729 | 0 | 447 | 2500 |
N.S. |
1 | 0.99 | 0.85 | 3.23 | 0.00 | 1.96 | 0.00 | 1.20 | 6.74 |
time (sec) |
N/A | 0.330 | 1.065 | 0.106 | 0.000 | 2.078 | 0.000 | 1.075 | 105.189 |
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 | 164 | 164 | 141 | 425 | 0 | 391 | 0 | 194 | 833 |
N.S. |
1 | 1.00 | 0.86 | 2.59 | 0.00 | 2.38 | 0.00 | 1.18 | 5.08 |
time (sec) |
N/A | 0.103 | 0.398 | 0.102 | 0.000 | 1.110 | 0.000 | 0.886 | 25.888 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F | F(-2) | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 188 | 188 | 183 | 746 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 3.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.221 | 0.651 | 0.124 | 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(-2) | F(-1) | F | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 249 | 2973 | 0 | 0 | 0 | 1356 | -1 |
N.S. |
1 | 1.00 | 0.98 | 11.70 | 0.00 | 0.00 | 0.00 | 5.34 | -0.00 |
time (sec) |
N/A | 0.422 | 1.478 | 0.104 | 0.000 | 0.000 | 0.000 | 2.056 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | B | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 424 | 424 | 420 | 7119 | 0 | 4038 | 0 | 8019 | -1 |
N.S. |
1 | 1.00 | 0.99 | 16.79 | 0.00 | 9.52 | 0.00 | 18.91 | -0.00 |
time (sec) |
N/A | 0.625 | 3.543 | 0.106 | 0.000 | 207.909 | 0.000 | 50.496 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | F(-1) | F(-1) | B | F(-1) |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 826 | 826 | 1036 | 18802 | 0 | 0 | 0 | 25778 | -1 |
N.S. |
1 | 1.00 | 1.25 | 22.76 | 0.00 | 0.00 | 0.00 | 31.21 | -0.00 |
time (sec) |
N/A | 1.603 | 10.287 | 0.179 | 0.000 | 0.000 | 0.000 | 92.839 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1182 | 1154 | 1362 | 14778 | 0 | 1910 | 0 | 0 | -1 |
N.S. | 1 | 0.98 | 1.15 | 12.50 | 0.00 | 1.62 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.789 | 35.442 | 0.111 | 0.000 | 0.568 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 774 | 769 | 917 | 9543 | 0 | 1391 | 0 | 0 | -1 |
N.S. | 1 | 0.99 | 1.18 | 12.33 | 0.00 | 1.80 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.421 | 29.166 | 0.108 | 0.000 | 0.431 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 706 | 706 | 633 | 5787 | 0 | 1458 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.90 | 8.20 | 0.00 | 2.07 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.241 | 25.756 | 0.122 | 0.000 | 0.798 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 687 | 687 | 815 | 15769 | 0 | 2584 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.19 | 22.95 | 0.00 | 3.76 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.264 | 29.814 | 0.120 | 0.000 | 0.373 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 964 | 964 | 1444 | 34620 | 0 | 4721 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.50 | 35.91 | 0.00 | 4.90 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.016 | 34.138 | 0.146 | 0.000 | 0.619 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-2) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1716 | 1716 | 15719 | 65231 | 0 | 9152 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 9.16 | 38.01 | 0.00 | 5.33 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 4.548 | 36.521 | 0.239 | 0.000 | 0.614 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1235 | 1235 | 12483 | 15736 | 0 | 1925 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 10.11 | 12.74 | 0.00 | 1.56 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.833 | 35.877 | 0.111 | 0.000 | 0.525 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 766 | 766 | 922 | 10268 | 0 | 1388 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.20 | 13.40 | 0.00 | 1.81 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.283 | 28.927 | 0.109 | 0.000 | 0.500 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 527 | 527 | 562 | 6049 | 0 | 1036 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.07 | 11.48 | 0.00 | 1.97 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.654 | 26.851 | 0.108 | 0.000 | 0.455 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 540 | 540 | 551 | 5320 | 0 | 1331 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.02 | 9.85 | 0.00 | 2.46 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.724 | 24.774 | 0.117 | 0.000 | 0.540 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 597 | 596 | 724 | 15372 | 0 | 2420 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.21 | 25.75 | 0.00 | 4.05 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.923 | 28.495 | 0.131 | 0.000 | 0.397 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1034 | 1034 | 1449 | 36158 | 0 | 4859 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.40 | 34.97 | 0.00 | 4.70 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.095 | 33.759 | 0.164 | 0.000 | 0.520 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 838 | 831 | 1000 | 9580 | 0 | 1387 | 0 | 0 | -1 |
N.S. | 1 | 0.99 | 1.19 | 11.43 | 0.00 | 1.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.374 | 29.656 | 0.109 | 0.000 | 0.426 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 528 | 524 | 615 | 5221 | 0 | 1036 | 0 | 0 | -1 |
N.S. | 1 | 0.99 | 1.16 | 9.89 | 0.00 | 1.96 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.664 | 25.597 | 0.122 | 0.000 | 0.478 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 384 | 418 | 2505 | 0 | 808 | 0 | 0 | -1 |
N.S. | 1 | 0.99 | 1.08 | 6.47 | 0.00 | 2.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.327 | 24.171 | 0.107 | 0.000 | 0.481 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 477 | 3763 | 0 | 1239 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 1.13 | 8.92 | 0.00 | 2.94 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.445 | 23.714 | 0.121 | 0.000 | 0.336 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 642 | 642 | 699 | 13110 | 0 | 2343 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.09 | 20.42 | 0.00 | 3.65 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.986 | 27.866 | 0.126 | 0.000 | 0.392 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | B | F | C | F(-1) | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 1116 | 1116 | 1520 | 32152 | 0 | 5104 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.36 | 28.81 | 0.00 | 4.57 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.163 | 33.372 | 0.214 | 0.000 | 0.630 | 0.000 | 0.000 | 0.000 |