2.2.6 Integrals 501 to 569

Detailed conclusion table per each integral is given by the 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 as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 501

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F F F(-1) F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

634 634 792 635 0 0 0 0 0

N.S.

1 1.00 1.25 1.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.612 1.555 1.609 0.000 0.000 0.000 0.000 0.000

Problem 502

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

839 839 777 897 0 0 0 0 0

N.S.

1 1.00 0.93 1.07 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.634 1.319 31.119 0.000 0.000 0.000 0.000 0.000

Problem 503

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

792 792 719 813 0 0 0 0 0

N.S.

1 1.00 0.91 1.03 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.380 6.079 24.162 0.000 0.000 0.000 0.000 0.000

Problem 504

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

804 804 734 828 0 0 0 0 0

N.S.

1 1.00 0.91 1.03 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.521 6.391 20.609 0.000 0.000 0.000 0.000 0.000

Problem 505

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F(-1) F F(-1)

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

846 846 821 900 0 0 0 0 0

N.S.

1 1.00 0.97 1.06 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.468 6.719 37.202 0.000 0.000 0.000 0.000 0.000

Problem 506

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F F F(-1) F(-2) F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

737 737 1097 3551 0 0 0 0 0

N.S.

1 1.00 1.49 4.82 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.653 6.634 5.517 0.000 0.000 0.000 0.000 0.000

Problem 507

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F(-1) F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

231 220 192 1169 0 1217 0 0 0

N.S.

1 0.95 0.83 5.06 0.00 5.27 0.00 0.00 0.00

time (sec)

N/A 0.590 0.667 0.551 0.000 0.364 0.000 0.000 0.000

Problem 508

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B F(-1) F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

177 166 183 1126 0 1233 0 0 0

N.S.

1 0.94 1.03 6.36 0.00 6.97 0.00 0.00 0.00

time (sec)

N/A 0.360 0.834 0.625 0.000 0.375 0.000 0.000 0.000

Problem 509

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F F F(-1) F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

772 772 1204 1225 0 0 0 0 0

N.S.

1 1.00 1.56 1.59 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.715 6.075 2.445 0.000 0.000 0.000 0.000 0.000

Problem 510

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F F F(-1) F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

834 834 1261 1455 0 0 0 0 0

N.S.

1 1.00 1.51 1.74 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.833 6.086 2.692 0.000 0.000 0.000 0.000 0.000

Problem 511

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F(-1) F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1224 1224 1185 1752 0 0 0 0 0

N.S.

1 1.00 0.97 1.43 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 4.136 11.031 49.457 0.000 0.000 0.000 0.000 0.000

Problem 512

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F(-1) F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1234 1234 1193 1222 0 0 0 0 0

N.S.

1 1.00 0.97 0.99 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 3.106 11.030 23.198 0.000 0.000 0.000 0.000 0.000

Problem 513

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C F(-2) F F(-1) F F(-1)

verified

N/A Yes No No TBD TBD TBD TBD TBD

size

1234 1234 1161 1778 0 0 0 0 0

N.S.

1 1.00 0.94 1.44 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.986 10.354 29.030 0.000 0.000 0.000 0.000 0.000

Problem 514

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A F(-2) N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 18 0 20 19 20 20

N.S.

1 1.00 1.10 0.90 0.00 1.00 0.95 1.00 1.00

time (sec)

N/A 0.191 6.366 1.063 0.000 0.256 1.717 0.332 3.232

Problem 515

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A F(-2) N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 18 0 20 19 20 20

N.S.

1 1.00 1.10 0.90 0.00 1.00 0.95 1.00 1.00

time (sec)

N/A 0.199 2.906 1.158 0.000 0.268 1.065 0.307 3.317

Problem 516

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F(-2) A F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

101 101 556 0 0 332 0 0 0

N.S.

1 1.00 5.50 0.00 0.00 3.29 0.00 0.00 0.00

time (sec)

N/A 0.402 13.469 0.000 0.000 0.286 0.000 0.000 0.000

Problem 517

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F B F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

182 176 633 0 0 724 0 0 0

N.S.

1 0.97 3.48 0.00 0.00 3.98 0.00 0.00 0.00

time (sec)

N/A 0.375 1.869 0.000 0.000 0.326 0.000 0.000 0.000

Problem 518

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C F F B F(-1) F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

284 270 685 0 0 1360 0 0 0

N.S.

1 0.95 2.41 0.00 0.00 4.79 0.00 0.00 0.00

time (sec)

N/A 1.155 3.004 0.000 0.000 0.386 0.000 0.000 0.000

Problem 519

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F F(-1) F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

558 544 397 0 0 0 0 0 0

N.S.

1 0.97 0.71 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.474 0.867 0.000 0.000 0.000 0.000 0.000 0.000

Problem 520

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

353 350 293 0 0 0 0 0 0

N.S.

1 0.99 0.83 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.740 0.323 0.000 0.000 0.000 0.000 0.000 0.000

Problem 521

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

198 205 186 0 0 0 0 0 0

N.S.

1 1.04 0.94 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.422 0.427 0.000 0.000 0.000 0.000 0.000 0.000

Problem 522

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

23 23 25 23 25 25 20 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.09 0.87 1.09 1.09

time (sec)

N/A 0.241 2.856 2.470 0.284 0.269 16.244 0.278 3.551

Problem 523

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

23 23 25 23 25 36 0 25 25

N.S.

1 1.00 1.09 1.00 1.09 1.57 0.00 1.09 1.09

time (sec)

N/A 0.235 2.293 1.375 0.318 0.270 0.000 0.280 3.194

Problem 524

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

23 23 25 23 25 47 0 25 25

N.S.

1 1.00 1.09 1.00 1.09 2.04 0.00 1.09 1.09

time (sec)

N/A 0.237 3.602 2.325 0.286 0.277 0.000 0.279 3.308

Problem 525

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

609 609 453 632 684 586 0 0 0

N.S.

1 1.00 0.74 1.04 1.12 0.96 0.00 0.00 0.00

time (sec)

N/A 2.395 0.370 0.809 0.217 0.271 0.000 0.000 0.000

Problem 526

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

359 359 299 402 429 380 0 0 0

N.S.

1 1.00 0.83 1.12 1.19 1.06 0.00 0.00 0.00

time (sec)

N/A 1.471 0.276 0.752 0.211 0.275 0.000 0.000 0.000

Problem 527

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

168 168 174 203 218 209 0 0 0

N.S.

1 1.00 1.04 1.21 1.30 1.24 0.00 0.00 0.00

time (sec)

N/A 0.792 0.156 0.347 0.205 0.269 0.000 0.000 0.000

Problem 528

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B F B F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 55 84 78 72 96 0 111 0

N.S.

1 1.08 1.65 1.53 1.41 1.88 0.00 2.18 0.00

time (sec)

N/A 0.390 0.094 0.348 0.202 0.256 0.000 0.386 0.000

Problem 529

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F(-2) F F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

763 763 623 0 0 0 0 0 0

N.S.

1 1.00 0.82 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.762 0.434 0.000 0.000 0.000 0.000 0.000 0.000

Problem 530

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A F(-2) N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 0 34 20 22 22

N.S.

1 1.00 1.09 0.91 0.00 1.55 0.91 1.00 1.00

time (sec)

N/A 0.208 15.372 0.669 0.000 0.260 1.637 0.399 3.075

Problem 531

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A F(-2) N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 0 34 20 22 22

N.S.

1 1.00 1.09 0.91 0.00 1.55 0.91 1.00 1.00

time (sec)

N/A 0.206 8.229 0.783 0.000 0.263 1.097 0.332 3.106

Problem 532

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A F(-2) N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 0 54 20 22 22

N.S.

1 1.00 1.09 0.91 0.00 2.45 0.91 1.00 1.00

time (sec)

N/A 0.213 13.235 1.615 0.000 0.264 7.622 0.326 3.172

Problem 533

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 107 65 20 22 22

N.S.

1 1.00 1.09 0.91 4.86 2.95 0.91 1.00 1.00

time (sec)

N/A 0.210 26.794 1.655 0.719 0.271 167.634 0.335 3.356

Problem 534

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

388 388 254 380 0 0 0 0 0

N.S.

1 1.00 0.65 0.98 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.001 0.417 2.646 0.000 0.000 0.000 0.000 0.000

Problem 535

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

139 180 125 178 0 0 0 0 0

N.S.

1 1.29 0.90 1.28 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.560 0.174 0.944 0.000 0.000 0.000 0.000 0.000

Problem 536

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A F F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 57 46 56 0 0 0 0 0

N.S.

1 1.06 0.85 1.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.412 0.057 0.054 0.000 0.000 0.000 0.000 0.000

Problem 537

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 20 22 29 17 22 22

N.S.

1 1.00 1.10 1.00 1.10 1.45 0.85 1.10 1.10

time (sec)

N/A 0.211 0.567 0.825 0.270 0.258 9.359 0.281 2.866

Problem 538

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 20 22 53 0 22 22

N.S.

1 1.00 1.10 1.00 1.10 2.65 0.00 1.10 1.10

time (sec)

N/A 0.216 2.607 0.738 0.269 0.242 0.000 0.283 2.836

Problem 539

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 22 19 22 22

N.S.

1 1.00 1.09 0.91 1.00 1.00 0.86 1.00 1.00

time (sec)

N/A 0.221 0.982 1.175 0.263 0.246 0.470 0.313 2.792

Problem 540

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 39 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 1.77 0.91 1.00 1.00

time (sec)

N/A 0.216 0.812 1.336 0.267 0.248 0.729 0.298 2.819

Problem 541

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 63 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 2.86 0.91 1.00 1.00

time (sec)

N/A 0.223 1.422 1.342 0.287 0.298 3.052 0.301 2.964

Problem 542

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 87 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 3.95 0.91 1.00 1.00

time (sec)

N/A 0.227 2.805 1.339 0.268 0.308 34.561 0.304 2.958

Problem 543

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F F F F F(-1)

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

510 510 663 1102 0 0 0 0 0

N.S.

1 1.00 1.30 2.16 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.190 2.580 1.985 0.000 0.000 0.000 0.000 0.000

Problem 544

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F F(-1)

verified

N/A Yes No Yes TBD TBD TBD TBD TBD

size

257 257 338 465 0 0 0 0 0

N.S.

1 1.00 1.32 1.81 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.802 1.001 1.117 0.000 0.000 0.000 0.000 0.000

Problem 545

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

90 86 80 125 0 0 0 0 0

N.S.

1 0.96 0.89 1.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.767 0.334 0.073 0.000 0.000 0.000 0.000 0.000

Problem 546

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 20 816 57 19 22 22

N.S.

1 1.00 1.10 1.00 40.80 2.85 0.95 1.10 1.10

time (sec)

N/A 0.210 17.947 0.895 1.318 0.251 89.470 0.314 2.964

Problem 547

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

20 20 22 20 1078 98 0 22 22

N.S.

1 1.00 1.10 1.00 53.90 4.90 0.00 1.10 1.10

time (sec)

N/A 0.210 29.873 0.662 1.766 0.274 0.000 0.304 2.901

Problem 548

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 596 36 20 22 22

N.S.

1 1.00 1.09 0.91 27.09 1.64 0.91 1.00 1.00

time (sec)

N/A 0.223 10.789 1.214 0.808 0.251 0.872 0.302 3.170

Problem 549

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 580 67 22 22 22

N.S.

1 1.00 1.09 0.91 26.36 3.05 1.00 1.00 1.00

time (sec)

N/A 0.215 10.972 1.308 1.099 0.296 1.978 0.312 3.178

Problem 550

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 857 108 22 22 22

N.S.

1 1.00 1.09 0.91 38.95 4.91 1.00 1.00 1.00

time (sec)

N/A 0.227 16.339 1.521 1.988 0.262 15.244 0.327 3.268

Problem 551

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 1117 149 22 22 22

N.S.

1 1.00 1.09 0.91 50.77 6.77 1.00 1.00 1.00

time (sec)

N/A 0.222 24.975 1.393 2.985 0.271 170.436 0.334 3.409

Problem 552

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

672 672 536 0 0 0 0 0 0

N.S.

1 1.00 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.673 4.906 0.000 0.000 0.000 0.000 0.000 0.000

Problem 553

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

322 322 317 0 0 0 0 0 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.457 1.973 0.000 0.000 0.000 0.000 0.000 0.000

Problem 554

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

102 104 100 0 0 0 0 0 0

N.S.

1 1.02 0.98 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.756 0.142 0.000 0.000 0.000 0.000 0.000 0.000

Problem 555

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A F(-1) N/A F(-2) F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 0 20 0 0 19 22 22

N.S.

1 1.00 0.00 0.91 0.00 0.00 0.86 1.00 1.00

time (sec)

N/A 0.219 0.000 1.408 0.000 0.000 1.588 12.583 3.091

Problem 556

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A F(-1) N/A N/A F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 0 20 22 0 20 22 22

N.S.

1 1.00 0.00 0.91 1.00 0.00 0.91 1.00 1.00

time (sec)

N/A 0.226 0.000 0.926 0.544 0.000 41.816 12.374 3.183

Problem 557

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F(-2) F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

442 442 812 0 0 0 0 0 0

N.S.

1 1.00 1.84 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 2.016 1.994 0.000 0.000 0.000 0.000 0.000 0.000

Problem 558

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A F F F(-2) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

140 151 269 0 0 0 0 0 0

N.S.

1 1.08 1.92 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.871 0.398 0.000 0.000 0.000 0.000 0.000 0.000

Problem 559

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A F(-1) N/A F(-2) F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 0 20 0 0 19 22 22

N.S.

1 1.00 0.00 0.91 0.00 0.00 0.86 1.00 1.00

time (sec)

N/A 0.225 0.000 1.372 0.000 0.000 37.428 19.146 3.354

Problem 560

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A F(-1) N/A N/A F(-2) F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 0 20 22 0 0 22 22

N.S.

1 1.00 0.00 0.91 1.00 0.00 0.00 1.00 1.00

time (sec)

N/A 0.226 0.000 1.216 0.708 0.000 0.000 19.263 3.176

Problem 561

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

608 608 530 0 0 0 0 0 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.373 0.815 0.000 0.000 0.000 0.000 0.000 0.000

Problem 562

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

287 287 213 0 0 0 0 0 0

N.S.

1 1.00 0.74 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.765 0.418 0.000 0.000 0.000 0.000 0.000 0.000

Problem 563

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A F F F(-2) F F F(-1)

verified

N/A Yes Yes N/A TBD TBD TBD TBD TBD

size

88 96 100 0 0 0 0 0 0

N.S.

1 1.09 1.14 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.416 0.072 0.000 0.000 0.000 0.000 0.000 0.000

Problem 564

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 0 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 0.00 0.91 1.00 1.00

time (sec)

N/A 0.220 0.182 1.359 0.500 0.000 5.045 12.922 3.076

Problem 565

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 0 22 22 22

N.S.

1 1.00 1.09 0.91 1.00 0.00 1.00 1.00 1.00

time (sec)

N/A 0.222 0.227 1.068 0.533 0.000 151.692 12.693 3.113

Problem 566

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A F F F(-2) F F F(-1)

verified

N/A Yes No N/A TBD TBD TBD TBD TBD

size

358 358 268 0 0 0 0 0 0

N.S.

1 1.00 0.75 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.051 1.260 0.000 0.000 0.000 0.000 0.000 0.000

Problem 567

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A F F F F(-2) F F F(-1)

verified

N/A Yes N/A N/A TBD TBD TBD TBD TBD

size

120 129 0 0 0 0 0 0 0

N.S.

1 1.08 0.00 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.812 0.000 0.000 0.000 0.000 0.000 0.000 0.000

Problem 568

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A F(-2) N/A N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 0 20 22 22

N.S.

1 1.00 1.09 0.91 1.00 0.00 0.91 1.00 1.00

time (sec)

N/A 0.227 0.196 1.406 0.509 0.000 36.247 0.419 3.985

Problem 569

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A N/A N/A N/A N/A F(-2) F(-1) N/A N/A

verified

N/A N/A N/A N/A TBD TBD TBD TBD TBD

size

22 22 24 20 22 0 0 22 22

N.S.

1 1.00 1.09 0.91 1.00 0.00 0.00 1.00 1.00

time (sec)

N/A 0.239 0.250 1.210 0.559 0.000 0.000 0.421 3.784