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2.2.17 Integrals 1601 to 1700

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 1601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

252 252 291 240 308 590 423 2306 267

N.S.

1 1.00 1.15 0.95 1.22 2.34 1.68 9.15 1.06

time (sec)

N/A 0.439 0.210 0.796 0.204 0.283 1.605 0.291 0.102

Problem 1602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

252 252 291 234 308 495 423 1556 267

N.S.

1 1.00 1.15 0.93 1.22 1.96 1.68 6.17 1.06

time (sec)

N/A 0.419 0.196 0.464 0.199 0.274 1.487 0.283 0.067

Problem 1603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

252 252 291 237 308 399 423 914 267

N.S.

1 1.00 1.15 0.94 1.22 1.58 1.68 3.63 1.06

time (sec)

N/A 0.403 0.184 0.444 0.194 0.282 1.378 0.273 11.173

Problem 1604

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

250 250 290 240 308 306 422 400 267

N.S.

1 1.00 1.16 0.96 1.23 1.22 1.69 1.60 1.07

time (sec)

N/A 0.402 0.175 0.468 0.202 0.269 1.306 0.265 11.036

Problem 1605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

248 248 287 245 316 316 342 467 333

N.S.

1 1.00 1.16 0.99 1.27 1.27 1.38 1.88 1.34

time (sec)

N/A 0.406 0.196 0.487 0.191 0.274 15.054 0.275 0.073

Problem 1606

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

246 246 289 247 314 327 298 444 329

N.S.

1 1.00 1.17 1.00 1.28 1.33 1.21 1.80 1.34

time (sec)

N/A 0.405 0.190 0.506 0.204 0.261 15.611 0.281 11.250

Problem 1607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

427 427 600 494 645 1113 862 4281 444

N.S.

1 1.00 1.41 1.16 1.51 2.61 2.02 10.03 1.04

time (sec)

N/A 0.688 0.485 0.573 0.198 0.287 2.058 0.319 10.945

Problem 1608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

427 427 600 500 645 958 862 2941 444

N.S.

1 1.00 1.41 1.17 1.51 2.24 2.02 6.89 1.04

time (sec)

N/A 0.626 0.418 0.777 0.209 0.262 1.890 0.306 0.128

Problem 1609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

427 427 601 504 645 802 862 1769 444

N.S.

1 1.00 1.41 1.18 1.51 1.88 2.02 4.14 1.04

time (sec)

N/A 0.597 0.392 0.490 0.207 0.272 1.760 0.281 0.126

Problem 1610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

425 425 599 500 645 648 860 795 444

N.S.

1 1.00 1.41 1.18 1.52 1.52 2.02 1.87 1.04

time (sec)

N/A 0.580 0.326 0.568 0.206 0.291 1.668 0.273 0.126

Problem 1611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

421 421 594 510 653 657 702 1012 581

N.S.

1 1.00 1.41 1.21 1.55 1.56 1.67 2.40 1.38

time (sec)

N/A 0.584 0.385 0.561 0.216 0.270 68.911 0.290 10.920

Problem 1612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

421 421 598 517 651 669 585 981 677

N.S.

1 1.00 1.42 1.23 1.55 1.59 1.39 2.33 1.61

time (sec)

N/A 0.593 0.437 0.564 0.202 0.275 70.559 0.295 10.960

Problem 1613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

422 428 464 436 0 2909 0 819 6933

N.S.

1 1.01 1.10 1.03 0.00 6.89 0.00 1.94 16.43

time (sec)

N/A 1.064 1.547 0.901 0.000 0.356 0.000 0.335 11.527

Problem 1614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F A F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

291 274 332 322 0 368 0 617 2611

N.S.

1 0.94 1.14 1.11 0.00 1.26 0.00 2.12 8.97

time (sec)

N/A 0.553 0.843 0.540 0.000 0.287 0.000 0.331 10.827

Problem 1615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F B F B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

175 1 161 159 0 1317 0 338 205

N.S.

1 0.01 0.92 0.91 0.00 7.53 0.00 1.93 1.17

time (sec)

N/A 0.288 0.486 0.483 0.000 0.316 0.000 0.302 11.014

Problem 1616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

354 339 350 362 0 8557 0 1398 33147

N.S.

1 0.96 0.99 1.02 0.00 24.17 0.00 3.95 93.64

time (sec)

N/A 0.646 0.971 1.567 0.000 0.624 0.000 0.441 18.290

Problem 1617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

518 523 478 509 0 21310 0 3189 50695

N.S.

1 1.01 0.92 0.98 0.00 41.14 0.00 6.16 97.87

time (sec)

N/A 0.905 2.055 0.567 0.000 3.795 0.000 0.813 20.944

Problem 1618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

350 329 715 452 0 2928 0 930 8776

N.S.

1 0.94 2.04 1.29 0.00 8.37 0.00 2.66 25.07

time (sec)

N/A 0.639 5.352 0.657 0.000 0.389 0.000 0.541 1.493

Problem 1619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

224 259 543 309 0 828 0 505 841

N.S.

1 1.16 2.42 1.38 0.00 3.70 0.00 2.25 3.75

time (sec)

N/A 0.426 2.812 0.592 0.000 0.296 0.000 0.501 0.492

Problem 1620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

223 232 247 219 0 2750 0 478 4814

N.S.

1 1.04 1.11 0.98 0.00 12.33 0.00 2.14 21.59

time (sec)

N/A 0.357 1.186 0.376 0.000 0.422 0.000 0.497 11.412

Problem 1621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

364 344 295 348 0 11482 0 1574 18615

N.S.

1 0.95 0.81 0.96 0.00 31.54 0.00 4.32 51.14

time (sec)

N/A 0.648 1.291 0.500 0.000 0.726 0.000 0.551 14.065

Problem 1622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

469 480 429 500 0 26583 0 3464 58573

N.S.

1 1.02 0.91 1.07 0.00 56.68 0.00 7.39 124.89

time (sec)

N/A 0.899 3.473 0.667 0.000 6.682 0.000 1.127 19.993

Problem 1623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

543 471 1403 651 0 5701 0 1743 22151

N.S.

1 0.87 2.58 1.20 0.00 10.50 0.00 3.21 40.79

time (sec)

N/A 1.054 16.854 1.392 0.000 0.817 0.000 1.562 14.690

Problem 1624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

398 381 1197 532 0 2773 0 1411 12750

N.S.

1 0.96 3.01 1.34 0.00 6.97 0.00 3.55 32.04

time (sec)

N/A 0.726 16.619 0.859 0.000 0.524 0.000 1.180 16.240

Problem 1625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

322 314 501 430 0 6728 0 1169 16393

N.S.

1 0.98 1.56 1.34 0.00 20.89 0.00 3.63 50.91

time (sec)

N/A 0.590 14.662 0.596 0.000 0.543 0.000 1.173 15.726

Problem 1626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

463 461 556 571 0 21401 0 3127 46559

N.S.

1 1.00 1.20 1.23 0.00 46.22 0.00 6.75 100.56

time (sec)

N/A 0.871 15.748 0.819 0.000 2.568 0.000 1.510 17.758

Problem 1627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

673 647 689 871 0 41435 0 5956 84064

N.S.

1 0.96 1.02 1.29 0.00 61.57 0.00 8.85 124.91

time (sec)

N/A 1.408 8.948 14.523 0.000 35.490 0.000 2.172 20.419

Problem 1628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

576 588 1281 1221 0 586 0 0 0

N.S.

1 1.02 2.22 2.12 0.00 1.02 0.00 0.00 0.00

time (sec)

N/A 0.984 34.062 1.611 0.000 0.197 0.000 0.000 0.000

Problem 1629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

487 491 1058 950 0 482 0 0 0

N.S.

1 1.01 2.17 1.95 0.00 0.99 0.00 0.00 0.00

time (sec)

N/A 0.733 16.685 1.197 0.000 0.138 0.000 0.000 0.000

Problem 1630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

469 473 955 957 0 502 0 0 0

N.S.

1 1.01 2.04 2.04 0.00 1.07 0.00 0.00 0.00

time (sec)

N/A 0.650 13.716 3.343 0.000 0.139 0.000 0.000 0.000

Problem 1631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

548 575 1226 1092 0 835 0 0 0

N.S.

1 1.05 2.24 1.99 0.00 1.52 0.00 0.00 0.00

time (sec)

N/A 0.806 17.264 1.509 0.000 0.121 0.000 0.000 0.000

Problem 1632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

691 715 1385 1311 0 1513 0 0 0

N.S.

1 1.03 2.00 1.90 0.00 2.19 0.00 0.00 0.00

time (sec)

N/A 1.177 17.604 2.290 0.000 0.187 0.000 0.000 0.000

Problem 1633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

688 703 1087 1704 0 729 0 0 0

N.S.

1 1.02 1.58 2.48 0.00 1.06 0.00 0.00 0.00

time (sec)

N/A 1.113 17.363 2.392 0.000 0.147 0.000 0.000 0.000

Problem 1634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

592 603 1341 1720 0 829 0 0 0

N.S.

1 1.02 2.27 2.91 0.00 1.40 0.00 0.00 0.00

time (sec)

N/A 1.013 17.464 3.349 0.000 0.152 0.000 0.000 0.000

Problem 1635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

573 585 1251 1402 0 824 0 0 0

N.S.

1 1.02 2.18 2.45 0.00 1.44 0.00 0.00 0.00

time (sec)

N/A 0.916 17.465 3.553 0.000 0.228 0.000 0.000 0.000

Problem 1636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

701 716 1414 1427 0 1421 0 0 0

N.S.

1 1.02 2.02 2.04 0.00 2.03 0.00 0.00 0.00

time (sec)

N/A 1.156 17.766 4.729 0.000 0.158 0.000 0.000 0.000

Problem 1637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

600 617 1300 1251 0 591 0 0 0

N.S.

1 1.03 2.17 2.08 0.00 0.98 0.00 0.00 0.00

time (sec)

N/A 1.048 23.535 2.362 0.000 0.114 0.000 0.000 0.000

Problem 1638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

507 516 1052 956 0 483 0 0 0

N.S.

1 1.02 2.07 1.89 0.00 0.95 0.00 0.00 0.00

time (sec)

N/A 0.760 21.363 3.114 0.000 0.125 0.000 0.000 0.000

Problem 1639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

441 441 933 796 0 418 0 0 0

N.S.

1 1.00 2.12 1.80 0.00 0.95 0.00 0.00 0.00

time (sec)

N/A 0.578 28.145 1.437 0.000 0.094 0.000 0.000 0.000

Problem 1640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

391 391 793 746 0 358 0 0 0

N.S.

1 1.00 2.03 1.91 0.00 0.92 0.00 0.00 0.00

time (sec)

N/A 0.506 12.421 1.527 0.000 0.119 0.000 0.000 0.000

Problem 1641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

458 483 625 914 0 537 0 0 0

N.S.

1 1.05 1.36 2.00 0.00 1.17 0.00 0.00 0.00

time (sec)

N/A 0.625 11.559 2.913 0.000 0.115 0.000 0.000 0.000

Problem 1642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

581 606 1242 1097 0 949 0 0 0

N.S.

1 1.04 2.14 1.89 0.00 1.63 0.00 0.00 0.00

time (sec)

N/A 0.872 17.286 3.235 0.000 0.135 0.000 0.000 0.000

Problem 1643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

540 549 780 1346 0 805 0 0 0

N.S.

1 1.02 1.44 2.49 0.00 1.49 0.00 0.00 0.00

time (sec)

N/A 0.890 18.194 8.105 0.000 0.290 0.000 0.000 0.000

Problem 1644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

468 472 627 1023 0 598 0 0 0

N.S.

1 1.01 1.34 2.19 0.00 1.28 0.00 0.00 0.00

time (sec)

N/A 0.692 14.537 8.056 0.000 0.130 0.000 0.000 0.000

Problem 1645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

216 216 378 797 0 454 0 0 0

N.S.

1 1.00 1.75 3.69 0.00 2.10 0.00 0.00 0.00

time (sec)

N/A 0.320 11.633 4.047 0.000 0.105 0.000 0.000 0.000

Problem 1646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

216 216 318 363 0 173 0 0 0

N.S.

1 1.00 1.47 1.68 0.00 0.80 0.00 0.00 0.00

time (sec)

N/A 0.335 12.670 1.122 0.000 0.101 0.000 0.000 0.000

Problem 1647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

290 290 405 932 0 518 0 0 0

N.S.

1 1.00 1.40 3.21 0.00 1.79 0.00 0.00 0.00

time (sec)

N/A 0.394 11.813 3.102 0.000 0.121 0.000 0.000 0.000

Problem 1648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

559 584 672 1286 0 1071 0 0 0

N.S.

1 1.04 1.20 2.30 0.00 1.92 0.00 0.00 0.00

time (sec)

N/A 0.823 14.458 4.609 0.000 0.143 0.000 0.000 0.000

Problem 1649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

573 585 1338 1265 0 1303 0 0 0

N.S.

1 1.02 2.34 2.21 0.00 2.27 0.00 0.00 0.00

time (sec)

N/A 0.830 18.405 3.685 0.000 0.186 0.000 0.000 0.000

Problem 1650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

494 509 1150 1067 0 959 0 0 0

N.S.

1 1.03 2.33 2.16 0.00 1.94 0.00 0.00 0.00

time (sec)

N/A 0.670 19.700 3.813 0.000 0.141 0.000 0.000 0.000

Problem 1651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

456 475 928 912 0 671 0 0 0

N.S.

1 1.04 2.04 2.00 0.00 1.47 0.00 0.00 0.00

time (sec)

N/A 0.610 15.272 4.785 0.000 0.116 0.000 0.000 0.000

Problem 1652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

517 555 1016 1261 0 1225 0 0 0

N.S.

1 1.07 1.97 2.44 0.00 2.37 0.00 0.00 0.00

time (sec)

N/A 0.668 17.568 1.359 0.000 0.137 0.000 0.000 0.000

Problem 1653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

665 704 1334 1552 0 1918 0 0 0

N.S.

1 1.06 2.01 2.33 0.00 2.88 0.00 0.00 0.00

time (sec)

N/A 0.974 21.523 3.848 0.000 0.179 0.000 0.000 0.000

Problem 1654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

449 449 1112 4284 1772 4607 76621 9691 4573

N.S.

1 1.00 2.48 9.54 3.95 10.26 170.65 21.58 10.18

time (sec)

N/A 0.724 2.131 0.408 0.271 0.366 15.296 0.364 13.239

Problem 1655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

270 270 408 1668 802 1750 23525 3633 1825

N.S.

1 1.00 1.51 6.18 2.97 6.48 87.13 13.46 6.76

time (sec)

N/A 0.493 0.809 0.327 0.233 0.409 4.210 0.311 11.661

Problem 1656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

143 143 134 424 287 511 4760 978 554

N.S.

1 1.00 0.94 2.97 2.01 3.57 33.29 6.84 3.87

time (sec)

N/A 0.312 0.238 0.220 0.220 0.471 1.178 0.286 11.061

Problem 1657

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

167 167 152 0 0 0 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.437 0.278 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1658

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

358 318 287 0 0 0 0 0 0

N.S.

1 0.89 0.80 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.594 0.495 0.000 0.000 0.000 0.000 0.000 0.000

Problem 1659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 330 394 369 369 481 463 381

N.S.

1 1.00 2.75 3.28 3.08 3.08 4.01 3.86 3.18

time (sec)

N/A 0.478 0.082 0.207 0.204 0.318 0.044 0.291 0.169

Problem 1660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 283 319 304 304 384 374 305

N.S.

1 1.00 2.36 2.66 2.53 2.53 3.20 3.12 2.54

time (sec)

N/A 0.414 0.064 0.185 0.201 0.334 0.039 0.283 10.824

Problem 1661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 216 244 236 236 296 287 231

N.S.

1 1.00 1.80 2.03 1.97 1.97 2.47 2.39 1.92

time (sec)

N/A 0.368 0.052 0.204 0.207 0.325 0.034 0.277 0.092

Problem 1662

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

118 118 157 169 168 168 202 199 157

N.S.

1 1.00 1.33 1.43 1.42 1.42 1.71 1.69 1.33

time (sec)

N/A 0.344 0.038 0.201 0.201 0.331 0.030 0.276 0.065

Problem 1663

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

75 75 96 94 100 100 116 113 98

N.S.

1 1.00 1.28 1.25 1.33 1.33 1.55 1.51 1.31

time (sec)

N/A 0.279 0.018 0.036 0.194 0.312 0.023 0.276 0.045

Problem 1664

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

38 38 46 48 48 48 49 49 47

N.S.

1 1.00 1.21 1.26 1.26 1.26 1.29 1.29 1.24

time (sec)

N/A 0.206 0.008 0.024 0.202 0.301 0.021 0.269 10.731

Problem 1665

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

92 92 102 148 152 153 117 166 159

N.S.

1 1.00 1.11 1.61 1.65 1.66 1.27 1.80 1.73

time (sec)

N/A 0.268 0.042 0.204 0.197 0.309 0.227 0.267 10.750

Problem 1666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 101 98 151 156 238 151 230 165

N.S.

1 1.00 0.97 1.50 1.54 2.36 1.50 2.28 1.63

time (sec)

N/A 0.325 0.056 0.220 0.204 0.380 0.438 0.260 0.096

Problem 1667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 106 143 155 166 247 187 159 170

N.S.

1 1.00 1.35 1.46 1.57 2.33 1.76 1.50 1.60

time (sec)

N/A 0.308 0.050 0.208 0.228 0.298 1.093 0.283 0.136

Problem 1668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

101 104 138 157 184 221 211 166 178

N.S.

1 1.03 1.37 1.55 1.82 2.19 2.09 1.64 1.76

time (sec)

N/A 0.283 0.047 0.216 0.218 0.322 2.344 0.282 0.121

Problem 1669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 125 152 187 187 223 232 184

N.S.

1 1.00 1.45 1.77 2.17 2.17 2.59 2.70 2.14

time (sec)

N/A 0.227 0.042 0.202 0.202 0.401 4.762 0.298 0.091

Problem 1670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 129 157 203 203 238 168 201

N.S.

1 1.00 1.08 1.31 1.69 1.69 1.98 1.40 1.68

time (sec)

N/A 0.312 0.043 0.203 0.214 0.402 12.145 0.269 0.097

Problem 1671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 126 151 208 208 246 166 206

N.S.

1 1.00 1.05 1.26 1.73 1.73 2.05 1.38 1.72

time (sec)

N/A 0.295 0.041 0.205 0.204 0.389 67.287 0.283 0.107

Problem 1672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 129 157 225 225 0 168 223

N.S.

1 1.00 1.08 1.31 1.88 1.88 0.00 1.40 1.86

time (sec)

N/A 0.312 0.042 0.204 0.208 0.384 0.000 0.290 0.096

Problem 1673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 823 950 929 929 1210 1175 980

N.S.

1 1.00 4.00 4.61 4.51 4.51 5.87 5.70 4.76

time (sec)

N/A 0.919 0.211 0.247 0.210 0.653 0.081 0.274 11.082

Problem 1674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 737 821 810 810 1035 1015 845

N.S.

1 1.00 3.58 3.99 3.93 3.93 5.02 4.93 4.10

time (sec)

N/A 0.812 0.175 0.247 0.199 0.367 0.072 0.280 11.026

Problem 1675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 615 692 686 686 884 856 711

N.S.

1 1.00 2.99 3.36 3.33 3.33 4.29 4.16 3.45

time (sec)

N/A 0.724 0.139 0.246 0.201 0.295 0.063 0.282 10.969

Problem 1676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

204 204 512 563 562 562 717 696 576

N.S.

1 1.00 2.51 2.76 2.75 2.75 3.51 3.41 2.82

time (sec)

N/A 0.669 0.114 0.241 0.206 0.293 0.056 0.288 0.201

Problem 1677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

159 159 402 434 444 444 546 534 439

N.S.

1 1.00 2.53 2.73 2.79 2.79 3.43 3.36 2.76

time (sec)

N/A 0.519 0.089 0.234 0.204 0.267 0.047 0.279 0.155

Problem 1678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

118 118 288 305 322 322 384 374 305

N.S.

1 1.00 2.44 2.58 2.73 2.73 3.25 3.17 2.58

time (sec)

N/A 0.424 0.069 0.234 0.202 0.277 0.042 0.293 10.823

Problem 1679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 172 176 198 198 226 216 182

N.S.

1 1.00 2.29 2.35 2.64 2.64 3.01 2.88 2.43

time (sec)

N/A 0.323 0.037 0.230 0.206 0.308 0.034 0.277 0.095

Problem 1680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 84 94 96 96 100 97 88

N.S.

1 1.00 2.21 2.47 2.53 2.53 2.63 2.55 2.32

time (sec)

N/A 0.197 0.018 0.211 0.196 0.316 0.028 0.283 10.740

Problem 1681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 258 402 403 404 352 466 411

N.S.

1 1.00 1.65 2.58 2.58 2.59 2.26 2.99 2.63

time (sec)

N/A 0.375 0.092 0.214 0.192 0.326 0.488 0.286 0.085

Problem 1682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

188 188 354 419 410 598 396 545 486

N.S.

1 1.00 1.88 2.23 2.18 3.18 2.11 2.90 2.59

time (sec)

N/A 0.512 0.098 0.247 0.202 0.313 0.990 0.276 0.109

Problem 1683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

193 193 187 414 419 652 444 442 451

N.S.

1 1.00 0.97 2.15 2.17 3.38 2.30 2.29 2.34

time (sec)

N/A 0.483 0.066 0.240 0.203 0.314 3.139 0.286 10.833

Problem 1684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 189 351 416 431 650 486 439 451

N.S.

1 1.00 1.86 2.20 2.28 3.44 2.57 2.32 2.39

time (sec)

N/A 0.456 0.109 0.244 0.285 0.314 14.527 0.285 0.175

Problem 1685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

189 189 338 420 440 602 0 652 462

N.S.

1 1.00 1.79 2.22 2.33 3.19 0.00 3.45 2.44

time (sec)

N/A 0.453 0.110 0.237 0.279 0.323 0.000 0.282 10.900

Problem 1686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

155 156 332 415 459 526 0 438 465

N.S.

1 1.01 2.14 2.68 2.96 3.39 0.00 2.83 3.00

time (sec)

N/A 0.380 0.099 0.243 0.205 0.297 0.000 0.271 0.197

Problem 1687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 317 406 453 453 0 466 460

N.S.

1 1.00 3.69 4.72 5.27 5.27 0.00 5.42 5.35

time (sec)

N/A 0.222 0.092 0.237 0.270 0.304 0.000 0.291 10.845

Problem 1688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

135 131 323 413 478 478 0 468 479

N.S.

1 0.97 2.39 3.06 3.54 3.54 0.00 3.47 3.55

time (sec)

N/A 0.258 0.101 0.243 0.212 0.325 0.000 0.297 10.953

Problem 1689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

185 175 320 413 489 489 0 468 490

N.S.

1 0.95 1.73 2.23 2.64 2.64 0.00 2.53 2.65

time (sec)

N/A 0.281 0.089 0.239 0.210 0.321 0.000 0.275 10.884

Problem 1690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 322 413 500 500 0 468 501

N.S.

1 1.00 1.56 2.00 2.43 2.43 0.00 2.27 2.43

time (sec)

N/A 0.470 0.109 0.221 0.207 0.450 0.000 0.275 10.883

Problem 1691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 320 403 501 501 0 466 502

N.S.

1 1.00 1.55 1.96 2.43 2.43 0.00 2.26 2.44

time (sec)

N/A 0.436 0.093 0.251 0.222 0.446 0.000 0.268 0.300

Problem 1692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

206 206 323 413 522 522 0 468 523

N.S.

1 1.00 1.57 2.00 2.53 2.53 0.00 2.27 2.54

time (sec)

N/A 0.423 0.094 0.250 0.212 0.413 0.000 0.281 10.724

Problem 1693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

187 187 365 421 411 610 396 455 486

N.S.

1 1.00 1.95 2.25 2.20 3.26 2.12 2.43 2.60

time (sec)

N/A 0.494 0.116 0.244 0.191 0.372 1.004 0.278 0.129

Problem 1694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

145 145 250 277 273 417 257 293 293

N.S.

1 1.00 1.72 1.91 1.88 2.88 1.77 2.02 2.02

time (sec)

N/A 0.386 0.077 0.240 0.197 0.693 0.722 0.271 0.107

Problem 1695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 99 153 151 158 249 151 164 165

N.S.

1 1.00 1.55 1.53 1.60 2.52 1.53 1.66 1.67

time (sec)

N/A 0.300 0.050 0.235 0.195 0.296 0.439 0.259 10.602

Problem 1696

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

60 60 56 70 77 109 71 69 75

N.S.

1 1.00 0.93 1.17 1.28 1.82 1.18 1.15 1.25

time (sec)

N/A 0.242 0.032 0.233 0.196 0.318 0.241 0.276 0.106

Problem 1697

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

32 32 31 33 34 37 27 32 32

N.S.

1 1.00 0.97 1.03 1.06 1.16 0.84 1.00 1.00

time (sec)

N/A 0.197 0.010 0.000 0.189 0.280 0.090 0.269 10.537

Problem 1698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 69 83 118 157 355 137 94

N.S.

1 1.00 0.84 1.01 1.44 1.91 4.33 1.67 1.15

time (sec)

N/A 0.277 0.048 0.275 0.200 0.301 0.638 0.272 0.149

Problem 1699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

117 117 103 123 256 396 706 192 263

N.S.

1 1.00 0.88 1.05 2.19 3.38 6.03 1.64 2.25

time (sec)

N/A 0.332 0.073 0.283 0.204 0.318 1.250 0.277 10.767

Problem 1700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 146 159 479 801 1066 400 454

N.S.

1 1.00 0.93 1.01 3.05 5.10 6.79 2.55 2.89

time (sec)

N/A 0.387 0.060 0.279 0.205 0.376 1.829 0.277 10.950

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