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2.2.7 Integrals 601 to 663

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 601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

584 291 1617 0 0 0 0 0 0

N.S.

1 0.50 2.77 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.374 17.776 0.000 0.000 0.000 0.000 0.000 0.000

Problem 602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

522 271 788 0 0 0 0 0 0

N.S.

1 0.52 1.51 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.327 10.072 0.000 0.000 0.000 0.000 0.000 0.000

Problem 603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

942 442 528 0 0 0 0 0 0

N.S.

1 0.47 0.56 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.467 6.957 0.000 0.000 0.000 0.000 0.000 0.000

Problem 604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

743 365 757 0 0 0 0 0 0

N.S.

1 0.49 1.02 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.121 10.009 0.000 0.000 0.000 0.000 0.000 0.000

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

386 227 642 0 0 0 0 0 0

N.S.

1 0.59 1.66 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.531 8.665 0.000 0.000 0.000 0.000 0.000 0.000

Problem 606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

312 312 260 425 415 333 593 0 0

N.S.

1 1.00 0.83 1.36 1.33 1.07 1.90 0.00 0.00

time (sec)

N/A 0.701 0.213 0.295 0.199 0.270 1.202 0.000 0.000

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

221 222 187 295 287 241 389 0 0

N.S.

1 1.00 0.85 1.33 1.30 1.09 1.76 0.00 0.00

time (sec)

N/A 0.581 0.179 0.290 0.189 0.260 0.632 0.000 0.000

Problem 608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 149 125 188 180 163 240 0 0

N.S.

1 1.01 0.85 1.28 1.22 1.11 1.63 0.00 0.00

time (sec)

N/A 0.392 0.118 0.366 0.186 0.266 0.370 0.000 0.000

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

81 84 71 97 91 94 109 0 0

N.S.

1 1.04 0.88 1.20 1.12 1.16 1.35 0.00 0.00

time (sec)

N/A 0.282 0.046 0.015 0.184 0.260 0.222 0.000 0.000

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 30 30 31 30 43 26 41 28

N.S.

1 1.00 1.00 1.03 1.00 1.43 0.87 1.37 0.93

time (sec)

N/A 0.160 0.008 0.051 0.177 0.253 0.070 0.271 2.584

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

485 485 434 224 0 0 0 0 0

N.S.

1 1.00 0.89 0.46 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.202 0.333 7.909 0.000 0.000 0.000 0.000 0.000

Problem 612

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

707 707 622 848 0 0 0 0 0

N.S.

1 1.00 0.88 1.20 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.485 1.317 7.960 0.000 0.000 0.000 0.000 0.000

Problem 613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

559 559 443 683 684 586 989 0 0

N.S.

1 1.00 0.79 1.22 1.22 1.05 1.77 0.00 0.00

time (sec)

N/A 1.235 0.336 0.617 0.201 0.272 1.024 0.000 0.000

Problem 614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

329 329 289 431 429 380 595 0 0

N.S.

1 1.00 0.88 1.31 1.30 1.16 1.81 0.00 0.00

time (sec)

N/A 0.832 0.238 0.439 0.206 0.261 0.587 0.000 0.000

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

153 153 164 215 218 209 279 0 0

N.S.

1 1.00 1.07 1.41 1.42 1.37 1.82 0.00 0.00

time (sec)

N/A 0.474 0.144 0.221 0.198 0.276 0.315 0.000 0.000

Problem 616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

46 50 74 72 72 96 82 111 0

N.S.

1 1.09 1.61 1.57 1.57 2.09 1.78 2.41 0.00

time (sec)

N/A 0.281 0.087 0.112 0.182 0.260 0.108 0.403 0.000

Problem 617

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

739 739 985 0 0 0 0 0 0

N.S.

1 1.00 1.33 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.705 0.551 0.000 0.000 0.000 0.000 0.000 0.000

Problem 618

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

670 670 444 654 0 0 0 0 0

N.S.

1 1.00 0.66 0.98 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.484 0.754 1.757 0.000 0.000 0.000 0.000 0.000

Problem 619

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

388 388 253 380 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 0.929 0.431 0.824 0.000 0.000 0.000 0.000 0.000

Problem 620

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

180 180 126 178 0 0 0 0 0

N.S.

1 1.00 0.70 0.99 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.548 0.185 0.584 0.000 0.000 0.000 0.000 0.000

Problem 621

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

54 49 45 56 0 0 0 0 0

N.S.

1 0.91 0.83 1.04 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.394 0.057 0.082 0.000 0.000 0.000 0.000 0.000

Problem 622

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 0.205 0.689 0.477 0.245 0.265 3.577 0.290 2.619

Problem 623

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 53 19 22 22

N.S.

1 1.00 1.10 1.00 1.10 2.65 0.95 1.10 1.10

time (sec)

N/A 0.213 2.876 0.499 0.257 0.242 65.608 0.293 2.553

Problem 624

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 Yes Yes TBD TBD TBD TBD TBD

size

495 495 356 1036 0 0 0 0 0

N.S.

1 1.00 0.72 2.09 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.075 2.179 0.971 0.000 0.000 0.000 0.000 0.000

Problem 625

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

247 247 190 438 0 0 0 0 0

N.S.

1 1.00 0.77 1.77 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.672 0.913 0.651 0.000 0.000 0.000 0.000 0.000

Problem 626

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

85 89 71 118 0 0 0 0 0

N.S.

1 1.05 0.84 1.39 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.602 0.190 0.095 0.000 0.000 0.000 0.000 0.000

Problem 627

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 20 766 57 19 22 22

N.S.

1 1.00 1.10 1.00 38.30 2.85 0.95 1.10 1.10

time (sec)

N/A 0.213 12.000 0.480 0.906 0.255 33.777 0.291 2.663

Problem 628

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 1027 98 0 22 22

N.S.

1 1.00 1.10 1.00 51.35 4.90 0.00 1.10 1.10

time (sec)

N/A 0.217 25.139 0.750 1.177 0.252 0.000 0.298 2.549

Problem 629

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

672 672 535 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 2.028 4.818 0.000 0.000 0.000 0.000 0.000 0.000

Problem 630

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

322 322 319 0 0 0 0 0 0

N.S.

1 1.00 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.098 2.099 0.000 0.000 0.000 0.000 0.000 0.000

Problem 631

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

102 110 101 0 0 0 0 0 0

N.S.

1 1.08 0.99 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.609 0.162 0.000 0.000 0.000 0.000 0.000 0.000

Problem 632

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 0.229 0.000 0.632 0.000 0.000 0.822 1.022 2.663

Problem 633

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 0.232 0.000 1.016 0.401 0.000 14.300 1.043 2.697

Problem 634

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 Yes N/A TBD TBD TBD TBD TBD

size

427 427 770 0 0 0 0 0 0

N.S.

1 1.00 1.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 1.421 2.287 0.000 0.000 0.000 0.000 0.000 0.000

Problem 635

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

135 140 251 0 0 0 0 0 0

N.S.

1 1.04 1.86 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.711 0.390 0.000 0.000 0.000 0.000 0.000 0.000

Problem 636

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 0.248 0.000 0.560 0.000 0.000 9.086 1.526 2.596

Problem 637

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 0.243 0.000 0.837 0.497 0.000 95.972 1.533 2.617

Problem 638

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 1.398 0.793 0.000 0.000 0.000 0.000 0.000 0.000

Problem 639

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

287 287 218 0 0 0 0 0 0

N.S.

1 1.00 0.76 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.765 0.428 0.000 0.000 0.000 0.000 0.000 0.000

Problem 640

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

88 89 101 0 0 0 0 0 0

N.S.

1 1.01 1.15 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.426 0.067 0.000 0.000 0.000 0.000 0.000 0.000

Problem 641

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 0.237 0.165 0.559 0.379 0.000 2.101 1.172 2.643

Problem 642

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 0.228 0.216 0.895 0.396 0.000 41.199 1.130 2.634

Problem 643

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

349 349 303 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 0.926 0.949 0.000 0.000 0.000 0.000 0.000 0.000

Problem 644

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

116 130 137 0 0 0 0 0 0

N.S.

1 1.12 1.18 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.631 0.181 0.000 0.000 0.000 0.000 0.000 0.000

Problem 645

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 0.233 0.172 0.581 0.376 0.000 7.802 0.395 2.709

Problem 646

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 0.238 0.227 0.796 0.403 0.000 139.898 0.409 2.763

Problem 647

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 3.629 0.552 0.000 0.247 1.439 0.327 2.969

Problem 648

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 0.200 2.796 0.297 0.000 0.263 0.878 0.298 2.864

Problem 649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

70 70 75 0 0 326 0 0 0

N.S.

1 1.00 1.07 0.00 0.00 4.66 0.00 0.00 0.00

time (sec)

N/A 0.276 0.084 0.000 0.000 0.280 0.000 0.000 0.000

Problem 650

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

146 147 139 0 0 738 0 0 0

N.S.

1 1.01 0.95 0.00 0.00 5.05 0.00 0.00 0.00

time (sec)

N/A 0.358 0.244 0.000 0.000 0.318 0.000 0.000 0.000

Problem 651

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

227 247 191 0 0 1354 0 0 0

N.S.

1 1.09 0.84 0.00 0.00 5.96 0.00 0.00 0.00

time (sec)

N/A 1.015 0.294 0.000 0.000 0.389 0.000 0.000 0.000

Problem 652

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 0.215 13.099 0.178 0.000 0.254 0.998 0.374 2.684

Problem 653

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 0.219 8.238 0.199 0.000 0.276 0.828 0.325 2.724

Problem 654

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 0.227 2.760 0.683 0.000 0.267 4.451 0.330 2.641

Problem 655

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 99 65 20 22 22

N.S.

1 1.00 1.09 0.91 4.50 2.95 0.91 1.00 1.00

time (sec)

N/A 0.218 5.009 0.828 0.497 0.263 59.513 0.331 2.670

Problem 656

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 0.217 1.017 0.595 0.253 0.248 0.368 0.297 2.612

Problem 657

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 0.220 0.809 0.645 0.284 0.244 0.619 0.300 2.729

Problem 658

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 0.221 1.396 0.662 0.258 0.243 1.698 0.313 2.530

Problem 659

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 0.223 2.780 0.671 0.257 0.243 7.797 0.314 2.619

Problem 660

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 20 575 36 20 22 22

N.S.

1 1.00 1.09 0.91 26.14 1.64 0.91 1.00 1.00

time (sec)

N/A 0.216 3.566 0.654 0.660 0.274 0.649 0.353 2.653

Problem 661

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 20 591 67 22 22 22

N.S.

1 1.00 1.09 0.91 26.86 3.05 1.00 1.00 1.00

time (sec)

N/A 0.218 6.732 0.663 0.783 0.265 1.233 0.303 2.655

Problem 662

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 20 864 108 22 22 22

N.S.

1 1.00 1.09 0.91 39.27 4.91 1.00 1.00 1.00

time (sec)

N/A 0.220 13.987 0.702 1.328 0.260 4.716 0.329 2.792

Problem 663

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 1123 149 22 22 22

N.S.

1 1.00 1.09 0.91 51.05 6.77 1.00 1.00 1.00

time (sec)

N/A 0.217 22.713 0.668 1.908 0.272 27.889 0.340 2.627

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