Detailed conclusion table per each integral is given by table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given just an F.
In this table,the column N.S. in the table below, which stands for normalized size is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To help make the table fit, Mathematica was abbreviated to MMA.
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 205 | 205 | 331 | 215 | 0 | 0 | 0 | 237 | 2500 |
N.S. |
1 | 1.00 | 1.61 | 1.05 | 0.00 | 0.00 | 0.00 | 1.16 | 12.20 |
time (sec) |
N/A | 0.267 | 0.217 | 0.204 | 0.000 | 0.000 | 0.000 | 4.371 | 62.948 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F(-2) | F(-1) | F(-1) | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 268 | 268 | 426 | 284 | 0 | 0 | 0 | 332 | 2500 |
N.S. |
1 | 1.00 | 1.59 | 1.06 | 0.00 | 0.00 | 0.00 | 1.24 | 9.33 |
time (sec) |
N/A | 0.366 | 0.274 | 0.234 | 0.000 | 0.000 | 0.000 | 4.452 | 144.755 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 387 | 387 | 463 | 413 | 0 | 24206 | 0 | 12506 | 2500 |
N.S. |
1 | 1.00 | 1.20 | 1.07 | 0.00 | 62.55 | 0.00 | 32.32 | 6.46 |
time (sec) |
N/A | 2.767 | 0.397 | 0.235 | 0.000 | 162.321 | 0.000 | 13.667 | 7.134 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 323 | 323 | 385 | 331 | 0 | 19849 | 0 | 11030 | 2500 |
N.S. |
1 | 1.00 | 1.19 | 1.02 | 0.00 | 61.45 | 0.00 | 34.15 | 7.74 |
time (sec) |
N/A | 0.945 | 0.338 | 0.209 | 0.000 | 25.984 | 0.000 | 9.917 | 6.446 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 323 | 264 | 0 | 15257 | 0 | 8658 | 2500 |
N.S. |
1 | 1.00 | 1.15 | 0.94 | 0.00 | 54.49 | 0.00 | 30.92 | 8.93 |
time (sec) |
N/A | 0.615 | 0.217 | 0.184 | 0.000 | 2.600 | 0.000 | 6.545 | 5.800 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 251 | 251 | 277 | 213 | 0 | 11974 | 0 | 6921 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 0.85 | 0.00 | 47.71 | 0.00 | 27.57 | 9.96 |
time (sec) |
N/A | 0.290 | 0.323 | 0.201 | 0.000 | 1.294 | 0.000 | 6.348 | 4.959 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 254 | 254 | 274 | 215 | 0 | 15733 | 0 | 7650 | 2500 |
N.S. |
1 | 1.00 | 1.08 | 0.85 | 0.00 | 61.94 | 0.00 | 30.12 | 9.84 |
time (sec) |
N/A | 0.359 | 0.161 | 0.114 | 0.000 | 13.063 | 0.000 | 5.890 | 5.614 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 340 | 276 | 0 | 20327 | 0 | 10058 | 2500 |
N.S. |
1 | 1.00 | 1.14 | 0.93 | 0.00 | 68.21 | 0.00 | 33.75 | 8.39 |
time (sec) |
N/A | 0.624 | 0.261 | 0.214 | 0.000 | 163.302 | 0.000 | 7.535 | 5.890 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 348 | 348 | 410 | 349 | 0 | 0 | 0 | 12268 | 2500 |
N.S. |
1 | 1.00 | 1.18 | 1.00 | 0.00 | 0.00 | 0.00 | 35.25 | 7.18 |
time (sec) |
N/A | 1.062 | 0.359 | 0.216 | 0.000 | 0.000 | 0.000 | 7.604 | 6.726 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F(-1) | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 866 | 866 | 215 | 264 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 1.00 | 0.25 | 0.30 | 0.00 | 0.00 | 0.00 | 0.00 | 2.89 |
time (sec) |
N/A | 1.767 | 0.253 | 0.167 | 0.000 | 0.000 | 0.000 | 0.000 | 6.836 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 272 | 272 | 259 | 1013 | 0 | 1501 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.95 | 3.72 | 0.00 | 5.52 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.384 | 0.961 | 0.172 | 0.000 | 98.959 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 208 | 208 | 200 | 868 | 0 | 1247 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 4.17 | 0.00 | 6.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.212 | 0.598 | 0.157 | 0.000 | 11.533 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F(-2) | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 168 | 168 | 153 | 757 | 0 | 1074 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.91 | 4.51 | 0.00 | 6.39 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.150 | 0.433 | 0.158 | 0.000 | 1.029 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 186 | 186 | 174 | 858 | 0 | 2407 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 4.61 | 0.00 | 12.94 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.168 | 0.493 | 0.130 | 0.000 | 42.788 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 361 | 361 | 158 | 1004 | 0 | 1130 | 0 | 216 | -1 |
N.S. | 1 | 1.00 | 0.44 | 2.78 | 0.00 | 3.13 | 0.00 | 0.60 | -0.00 |
time (sec) |
N/A | 0.353 | 0.666 | 0.162 | 0.000 | 0.628 | 0.000 | 4.630 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 424 | 619 | 209 | 528 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.46 | 0.49 | 1.25 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.369 | 5.529 | 0.166 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 417 | 591 | 204 | 509 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.42 | 0.49 | 1.22 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.259 | 4.921 | 0.128 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 381 | 470 | 127 | 341 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.23 | 0.33 | 0.90 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.133 | 9.737 | 0.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 399 | 399 | 208 | 511 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 1.28 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.143 | 10.135 | 0.142 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 154 | 448 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.43 | 1.24 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.123 | 10.126 | 0.207 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 546 | 546 | 224 | 549 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.41 | 1.01 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.360 | 10.158 | 0.139 | 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(-1) | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 482 | 482 | 545 | 1985 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.13 | 4.12 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.732 | 10.661 | 0.174 | 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 | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 345 | 1663 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.96 | 4.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.452 | 1.983 | 0.164 | 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) | A | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 269 | 269 | 260 | 1411 | 0 | 1573 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 5.25 | 0.00 | 5.85 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.290 | 1.085 | 0.191 | 0.000 | 115.144 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 350 | 258 | 1613 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 4.61 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.364 | 0.939 | 0.136 | 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 | F(-1) | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 562 | 562 | 230 | 1789 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.41 | 3.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.601 | 1.130 | 0.192 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 463 | 875 | 214 | 547 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.89 | 0.46 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.428 | 7.271 | 0.145 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 428 | 602 | 209 | 377 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.41 | 0.49 | 0.88 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.219 | 10.123 | 0.171 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 722 | 722 | 213 | 528 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.73 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.231 | 10.158 | 0.153 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 625 | 625 | 219 | 530 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.35 | 0.85 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.235 | 10.167 | 0.151 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 553 | 553 | 224 | 549 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.41 | 0.99 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.273 | 10.164 | 0.144 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 173 | 173 | 178 | 266 | 0 | 1364 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.03 | 1.54 | 0.00 | 7.88 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.209 | 0.659 | 0.161 | 0.000 | 12.613 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 137 | 137 | 146 | 204 | 0 | 1100 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.07 | 1.49 | 0.00 | 8.03 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.100 | 0.442 | 0.128 | 0.000 | 1.029 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 86 | 86 | 96 | 165 | 0 | 367 | 0 | 75 | -1 |
N.S. | 1 | 1.00 | 1.12 | 1.92 | 0.00 | 4.27 | 0.00 | 0.87 | -0.01 |
time (sec) |
N/A | 0.057 | 0.305 | 0.122 | 0.000 | 0.414 | 0.000 | 4.192 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 138 | 138 | 144 | 207 | 0 | 1121 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 1.50 | 0.00 | 8.12 | 0.00 | 0.00 | -0.01 |
time (sec) |
N/A | 0.133 | 0.475 | 0.133 | 0.000 | 0.530 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | A | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 218 | 218 | 163 | 275 | 0 | 1486 | 0 | 208 | -1 |
N.S. | 1 | 1.00 | 0.75 | 1.26 | 0.00 | 6.82 | 0.00 | 0.95 | -0.00 |
time (sec) |
N/A | 0.179 | 0.884 | 0.155 | 0.000 | 0.794 | 0.000 | 3.458 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 418 | 418 | 127 | 222 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.30 | 0.53 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.117 | 10.155 | 0.115 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 247 | 247 | 99 | 134 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.40 | 0.54 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.080 | 10.111 | 0.136 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 245 | 245 | 80 | 70 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.33 | 0.29 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.070 | 10.042 | 0.124 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 399 | 399 | 147 | 178 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.37 | 0.45 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.218 | 10.157 | 0.140 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 422 | 219 | 260 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.00 | 0.52 | 0.62 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.328 | 10.132 | 0.134 | 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 | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 236 | 236 | 251 | 696 | 0 | 4905 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.06 | 2.95 | 0.00 | 20.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.311 | 0.967 | 0.136 | 0.000 | 38.183 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 167 | 167 | 180 | 542 | 0 | 1399 | 0 | 458 | -1 |
N.S. | 1 | 1.00 | 1.08 | 3.25 | 0.00 | 8.38 | 0.00 | 2.74 | -0.01 |
time (sec) |
N/A | 0.193 | 0.654 | 0.141 | 0.000 | 0.604 | 0.000 | 4.114 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 159 | 159 | 172 | 499 | 0 | 1367 | 0 | 441 | -1 |
N.S. | 1 | 1.00 | 1.08 | 3.14 | 0.00 | 8.60 | 0.00 | 2.77 | -0.01 |
time (sec) |
N/A | 0.124 | 0.708 | 0.136 | 0.000 | 0.652 | 0.000 | 2.939 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 166 | 166 | 177 | 454 | 0 | 1377 | 0 | 454 | -1 |
N.S. | 1 | 1.00 | 1.07 | 2.73 | 0.00 | 8.30 | 0.00 | 2.73 | -0.01 |
time (sec) |
N/A | 0.113 | 0.621 | 0.129 | 0.000 | 0.635 | 0.000 | 3.075 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | F(-2) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 266 | 266 | 247 | 563 | 0 | 4917 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.93 | 2.12 | 0.00 | 18.48 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.243 | 1.124 | 0.336 | 0.000 | 2.480 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 419 | 419 | 363 | 764 | 0 | 6590 | 0 | 762 | -1 |
N.S. | 1 | 1.00 | 0.87 | 1.82 | 0.00 | 15.73 | 0.00 | 1.82 | -0.00 |
time (sec) |
N/A | 0.353 | 1.713 | 0.412 | 0.000 | 5.418 | 0.000 | 5.004 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 449 | 566 | 199 | 603 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.26 | 0.44 | 1.34 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.239 | 10.200 | 0.135 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 423 | 503 | 199 | 586 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.19 | 0.47 | 1.39 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.169 | 9.645 | 0.141 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 501 | 199 | 561 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.19 | 0.47 | 1.33 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.156 | 7.134 | 0.138 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 423 | 503 | 199 | 536 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.19 | 0.47 | 1.27 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.162 | 7.028 | 0.157 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 422 | 501 | 199 | 366 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.19 | 0.47 | 0.87 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.154 | 10.111 | 0.143 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F | F | F | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 468 | 644 | 211 | 553 | 0 | 0 | 0 | 0 | -1 |
N.S. | 1 | 1.38 | 0.45 | 1.18 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.285 | 10.161 | 0.150 | 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 | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 406 | 406 | 475 | 457 | 0 | 0 | 0 | 928 | 2500 |
N.S. |
1 | 1.00 | 1.17 | 1.13 | 0.00 | 0.00 | 0.00 | 2.29 | 6.16 |
time (sec) |
N/A | 5.439 | 1.438 | 0.168 | 0.000 | 0.000 | 0.000 | 4.070 | 2.476 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 383 | 335 | 0 | 4208 | 0 | 745 | 2500 |
N.S. | 1 | 1.00 | 1.18 | 1.03 | 0.00 | 12.99 | 0.00 | 2.30 | 7.72 |
time (sec) |
N/A | 2.493 | 1.058 | 0.148 | 0.000 | 103.298 | 0.000 | 3.632 | 1.994 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 292 | 292 | 350 | 273 | 0 | 2452 | 0 | 619 | 2500 |
N.S. | 1 | 1.00 | 1.20 | 0.93 | 0.00 | 8.40 | 0.00 | 2.12 | 8.56 |
time (sec) |
N/A | 2.434 | 0.941 | 0.139 | 0.000 | 29.463 | 0.000 | 4.236 | 2.342 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 202 | 202 | 256 | 177 | 0 | 1037 | 0 | 228 | 717 |
N.S. | 1 | 1.00 | 1.27 | 0.88 | 0.00 | 5.13 | 0.00 | 1.13 | 3.55 |
time (sec) |
N/A | 0.244 | 0.573 | 0.118 | 0.000 | 6.191 | 0.000 | 3.962 | 1.723 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 274 | 299 | 0 | 3169 | 0 | 717 | 2500 |
N.S. | 1 | 1.00 | 0.98 | 1.06 | 0.00 | 11.28 | 0.00 | 2.55 | 8.90 |
time (sec) |
N/A | 0.831 | 0.673 | 0.147 | 0.000 | 49.977 | 0.000 | 3.946 | 6.875 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | F | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 382 | 370 | 348 | 404 | 0 | 0 | 0 | 0 | 2500 |
N.S. |
1 | 0.97 | 0.91 | 1.06 | 0.00 | 0.00 | 0.00 | 0.00 | 6.54 |
time (sec) |
N/A | 2.756 | 1.186 | 0.161 | 0.000 | 0.000 | 0.000 | 0.000 | 5.460 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 552 | 552 | 445 | 597 | 0 | 0 | 0 | 1055 | 2500 |
N.S. |
1 | 1.00 | 0.81 | 1.08 | 0.00 | 0.00 | 0.00 | 1.91 | 4.53 |
time (sec) |
N/A | 2.815 | 1.848 | 0.168 | 0.000 | 0.000 | 0.000 | 5.380 | 7.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 390 | 390 | 10915 | 294 | 0 | 3310 | 0 | 53 | -1 |
N.S. | 1 | 1.00 | 27.99 | 0.75 | 0.00 | 8.49 | 0.00 | 0.14 | -0.00 |
time (sec) |
N/A | 2.176 | 16.332 | 0.162 | 0.000 | 15.596 | 0.000 | 5.439 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 324 | 324 | 4331 | 222 | 0 | 1663 | 0 | 27 | -1 |
N.S. | 1 | 1.00 | 13.37 | 0.69 | 0.00 | 5.13 | 0.00 | 0.08 | -0.00 |
time (sec) |
N/A | 1.016 | 16.033 | 0.127 | 0.000 | 2.660 | 0.000 | 3.849 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 250 | 161 | 0 | 1007 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 0.67 | 0.00 | 4.20 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.233 | 8.662 | 0.124 | 0.000 | 0.868 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 291 | 291 | 4644 | 270 | 0 | 2435 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 15.96 | 0.93 | 0.00 | 8.37 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.490 | 16.249 | 0.157 | 0.000 | 1.642 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 373 | 373 | 7777 | 318 | 0 | 4132 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 20.85 | 0.85 | 0.00 | 11.08 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.715 | 16.307 | 0.153 | 0.000 | 6.467 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 512 | 512 | 10933 | 417 | 0 | 5811 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 21.35 | 0.81 | 0.00 | 11.35 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 3.501 | 16.409 | 0.157 | 0.000 | 15.802 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F(-1) | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 460 | 460 | 501 | 444 | 0 | 0 | 0 | 857 | 2500 |
N.S. |
1 | 1.00 | 1.09 | 0.97 | 0.00 | 0.00 | 0.00 | 1.86 | 5.43 |
time (sec) |
N/A | 3.583 | 1.601 | 0.145 | 0.000 | 0.000 | 0.000 | 4.964 | 3.413 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 327 | 327 | 373 | 277 | 0 | 4378 | 0 | 649 | 2500 |
N.S. | 1 | 1.00 | 1.14 | 0.85 | 0.00 | 13.39 | 0.00 | 1.98 | 7.65 |
time (sec) |
N/A | 0.957 | 1.137 | 0.148 | 0.000 | 68.190 | 0.000 | 7.193 | 4.129 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 346 | 346 | 379 | 381 | 0 | 0 | 0 | 827 | 2500 |
N.S. |
1 | 1.00 | 1.10 | 1.10 | 0.00 | 0.00 | 0.00 | 2.39 | 7.23 |
time (sec) |
N/A | 1.096 | 1.267 | 0.129 | 0.000 | 0.000 | 0.000 | 7.133 | 7.673 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | A | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 417 | 416 | 427 | 535 | 0 | 0 | 0 | 433 | 2500 |
N.S. |
1 | 1.00 | 1.02 | 1.28 | 0.00 | 0.00 | 0.00 | 1.04 | 6.00 |
time (sec) |
N/A | 2.274 | 1.549 | 0.157 | 0.000 | 0.000 | 0.000 | 5.538 | 6.097 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | F(-1) | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 595 | 595 | 18689 | 459 | 0 | 0 | 0 | 104 | -1 |
N.S. |
1 | 1.00 | 31.41 | 0.77 | 0.00 | 0.00 | 0.00 | 0.17 | -0.00 |
time (sec) |
N/A | 2.383 | 16.354 | 0.162 | 0.000 | 0.000 | 0.000 | 6.188 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 491 | 491 | 14032 | 347 | 0 | 5968 | 0 | 56 | -1 |
N.S. | 1 | 1.00 | 28.58 | 0.71 | 0.00 | 12.15 | 0.00 | 0.11 | -0.00 |
time (sec) |
N/A | 1.199 | 16.199 | 0.162 | 0.000 | 52.900 | 0.000 | 4.504 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 487 | 487 | 9290 | 215 | 0 | 3855 | 0 | 27 | -1 |
N.S. | 1 | 1.00 | 19.08 | 0.44 | 0.00 | 7.92 | 0.00 | 0.06 | -0.00 |
time (sec) |
N/A | 1.070 | 16.129 | 0.127 | 0.000 | 15.373 | 0.000 | 7.769 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 260 | 432 | 7789 | 351 | 0 | 4096 | 0 | 0 | -1 |
N.S. |
1 | 1.66 | 29.96 | 1.35 | 0.00 | 15.75 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.583 | 16.256 | 0.161 | 0.000 | 8.466 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | C | F | B | F(-1) | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 523 | 523 | 9321 | 478 | 0 | 7833 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 17.82 | 0.91 | 0.00 | 14.98 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.800 | 16.309 | 0.161 | 0.000 | 32.028 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | A | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 281 | 281 | 346 | 463 | 0 | 3615 | 0 | 4637 | 917 |
N.S. | 1 | 1.00 | 1.23 | 1.65 | 0.00 | 12.86 | 0.00 | 16.50 | 3.26 |
time (sec) |
N/A | 4.878 | 0.851 | 0.159 | 0.000 | 3.727 | 0.000 | 7.630 | 1.450 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 229 | 229 | 285 | 383 | 0 | 2053 | 0 | 4060 | 776 |
N.S. | 1 | 1.00 | 1.24 | 1.67 | 0.00 | 8.97 | 0.00 | 17.73 | 3.39 |
time (sec) |
N/A | 1.205 | 0.577 | 0.147 | 0.000 | 1.490 | 0.000 | 6.046 | 1.311 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 182 | 182 | 169 | 360 | 0 | 871 | 0 | 591 | 649 |
N.S. | 1 | 1.00 | 0.93 | 1.98 | 0.00 | 4.79 | 0.00 | 3.25 | 3.57 |
time (sec) |
N/A | 0.176 | 0.237 | 0.133 | 0.000 | 0.810 | 0.000 | 5.099 | 1.288 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 241 | 241 | 264 | 475 | 0 | 1232 | 0 | 3639 | 669 |
N.S. | 1 | 1.00 | 1.10 | 1.97 | 0.00 | 5.11 | 0.00 | 15.10 | 2.78 |
time (sec) |
N/A | 1.034 | 0.573 | 0.137 | 0.000 | 2.646 | 0.000 | 8.100 | 1.298 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 290 | 290 | 307 | 580 | 0 | 2799 | 0 | 1675 | 825 |
N.S. | 1 | 1.00 | 1.06 | 2.00 | 0.00 | 9.65 | 0.00 | 5.78 | 2.84 |
time (sec) |
N/A | 1.523 | 1.538 | 0.166 | 0.000 | 7.203 | 0.000 | 6.678 | 1.410 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 325 | 325 | 588 | 226 | 0 | 2860 | 0 | 1709 | 1024 |
N.S. | 1 | 1.00 | 1.81 | 0.70 | 0.00 | 8.80 | 0.00 | 5.26 | 3.15 |
time (sec) |
N/A | 3.679 | 0.644 | 0.152 | 0.000 | 1.344 | 0.000 | 7.539 | 1.300 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 263 | 263 | 412 | 175 | 0 | 1430 | 0 | 3580 | 870 |
N.S. | 1 | 1.00 | 1.57 | 0.67 | 0.00 | 5.44 | 0.00 | 13.61 | 3.31 |
time (sec) |
N/A | 1.300 | 0.431 | 0.129 | 0.000 | 0.726 | 0.000 | 5.381 | 1.272 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 220 | 220 | 155 | 130 | 0 | 759 | 0 | 641 | 989 |
N.S. | 1 | 1.00 | 0.70 | 0.59 | 0.00 | 3.45 | 0.00 | 2.91 | 4.50 |
time (sec) |
N/A | 0.156 | 0.117 | 0.125 | 0.000 | 0.454 | 0.000 | 5.621 | 1.268 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 265 | 265 | 471 | 212 | 0 | 1998 | 0 | 3965 | 1234 |
N.S. | 1 | 1.00 | 1.78 | 0.80 | 0.00 | 7.54 | 0.00 | 14.96 | 4.66 |
time (sec) |
N/A | 0.495 | 0.455 | 0.147 | 0.000 | 0.558 | 0.000 | 9.248 | 1.205 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | B | B | F | B | F | B | B |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 96 | 96 | 199 | 160 | 0 | 290 | 0 | 209 | 383 |
N.S. | 1 | 1.00 | 2.07 | 1.67 | 0.00 | 3.02 | 0.00 | 2.18 | 3.99 |
time (sec) |
N/A | 0.137 | 0.419 | 0.574 | 0.000 | 0.376 | 0.000 | 4.804 | 1.500 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 479 | 479 | 461 | 375 | 0 | 9162 | 0 | 105 | -1 |
N.S. | 1 | 1.00 | 0.96 | 0.78 | 0.00 | 19.13 | 0.00 | 0.22 | -0.00 |
time (sec) |
N/A | 1.249 | 11.287 | 0.159 | 0.000 | 135.038 | 0.000 | 6.417 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 366 | 366 | 355 | 267 | 0 | 7362 | 0 | 55 | -1 |
N.S. | 1 | 1.00 | 0.97 | 0.73 | 0.00 | 20.11 | 0.00 | 0.15 | -0.00 |
time (sec) |
N/A | 0.815 | 10.733 | 0.156 | 0.000 | 55.004 | 0.000 | 6.627 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | A | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 298 | 298 | 292 | 200 | 0 | 5585 | 0 | 27 | -1 |
N.S. | 1 | 1.00 | 0.98 | 0.67 | 0.00 | 18.74 | 0.00 | 0.09 | -0.00 |
time (sec) |
N/A | 0.508 | 10.452 | 0.119 | 0.000 | 9.716 | 0.000 | 7.411 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 240 | 240 | 250 | 161 | 0 | 3417 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 1.04 | 0.67 | 0.00 | 14.24 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.210 | 5.207 | 0.122 | 0.000 | 2.782 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 179 | 151 | 0 | 4577 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.74 | 0.62 | 0.00 | 18.84 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.125 | 0.126 | 0.121 | 0.000 | 3.688 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 280 | 280 | 271 | 197 | 0 | 6466 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.97 | 0.70 | 0.00 | 23.09 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.444 | 10.822 | 0.153 | 0.000 | 13.250 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 320 | 248 | 0 | 8220 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.94 | 0.73 | 0.00 | 24.11 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.497 | 10.534 | 0.144 | 0.000 | 62.843 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | A | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | Yes | TBD | TBD | TBD | TBD | TBD | TBD |
size | 443 | 443 | 383 | 349 | 0 | 10039 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.86 | 0.79 | 0.00 | 22.66 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 1.042 | 11.252 | 0.148 | 0.000 | 157.674 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | A | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 350 | 507 | 2281 | 369 | 0 | 0 | 0 | 75 | -1 |
N.S. |
1 | 1.45 | 6.52 | 1.05 | 0.00 | 0.00 | 0.00 | 0.21 | -0.00 |
time (sec) |
N/A | 2.855 | 20.340 | 0.125 | 0.000 | 0.000 | 0.000 | 5.521 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 360 | 360 | 2162 | 284 | 0 | 14319 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.01 | 0.79 | 0.00 | 39.78 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.841 | 17.756 | 0.141 | 0.000 | 165.057 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 333 | 333 | 2119 | 246 | 0 | 13948 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.36 | 0.74 | 0.00 | 41.89 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.483 | 16.500 | 0.145 | 0.000 | 116.395 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | B | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 341 | 341 | 2061 | 240 | 0 | 17065 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 6.04 | 0.70 | 0.00 | 50.04 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.557 | 15.377 | 0.118 | 0.000 | 225.020 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 339 | 462 | 2158 | 329 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.36 | 6.37 | 0.97 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 2.007 | 16.565 | 0.169 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | C | C | F | F(-1) | F | F(-1) | F |
verified |
N/A | Yes | NO | TBD | TBD | TBD | TBD | TBD | TBD |
size | 419 | 647 | 2218 | 431 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.54 | 5.29 | 1.03 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 3.949 | 16.161 | 0.194 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
Optimal | Rubi | MMA | Maple | Maxima | Fricas | Sympy | Giac | Mupad | |
grade |
A | A | F | F | F | F | F(-1) | F | F |
verified |
N/A | Yes | N/A | TBD | TBD | TBD | TBD | TBD | TBD |
size | 243 | 243 | 0 | 0 | 0 | 0 | 0 | 0 | -1 |
N.S. |
1 | 1.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | -0.00 |
time (sec) |
N/A | 0.441 | 0.194 | 0.024 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |