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2.2.7 Integrals 601 to 700

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.

Problem 601

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 26 25 17 49 66 17 17

N.S.

1 1.00 1.00 0.96 0.65 1.88 2.54 0.65 0.65

time (sec)

N/A 0.012 0.032 4.793 0.264 0.375 0.411 0.432 0.101

Problem 602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 26 25 17 71 90 17 17

N.S.

1 1.00 1.00 0.96 0.65 2.73 3.46 0.65 0.65

time (sec)

N/A 0.012 0.033 5.053 0.265 0.372 0.680 0.408 1.470

Problem 603

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 24 25 17 24 0 17 15

N.S.

1 1.00 0.92 0.96 0.65 0.92 0.00 0.65 0.58

time (sec)

N/A 0.012 0.018 2.605 0.262 0.364 0.000 0.409 1.585

Problem 604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 24 25 17 42 0 17 15

N.S.

1 1.00 0.92 0.96 0.65 1.62 0.00 0.65 0.58

time (sec)

N/A 0.013 0.027 2.764 0.273 0.407 0.000 0.422 1.566

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

24 24 47 25 24 22 29 56 15

N.S.

1 1.00 1.96 1.04 1.00 0.92 1.21 2.33 0.62

time (sec)

N/A 0.012 0.017 2.010 0.256 0.372 0.062 0.409 0.048

Problem 606

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 71 89 43 44 17 17

N.S.

1 1.00 1.00 2.63 3.30 1.59 1.63 0.63 0.63

time (sec)

N/A 0.012 0.024 3.355 0.261 0.391 0.080 0.406 0.060

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 36 147 62 83 17 17

N.S.

1 1.00 1.00 1.33 5.44 2.30 3.07 0.63 0.63

time (sec)

N/A 0.012 0.021 3.678 0.270 0.375 0.128 0.413 1.849

Problem 608

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 28 27 29 20 39 39 23 21

N.S.

1 1.00 0.96 1.04 0.71 1.39 1.39 0.82 0.75

time (sec)

N/A 0.012 0.033 3.572 0.259 0.385 0.083 0.428 1.659

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

24 24 22 22 13 20 32 13 13

N.S.

1 1.00 0.92 0.92 0.54 0.83 1.33 0.54 0.54

time (sec)

N/A 0.013 0.006 6.758 0.267 0.364 0.189 0.407 1.533

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 36 17 41 65 17 17

N.S.

1 1.00 1.00 1.33 0.63 1.52 2.41 0.63 0.63

time (sec)

N/A 0.013 0.033 5.218 0.273 0.375 0.290 0.413 0.096

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 27 55 17 59 88 17 17

N.S.

1 1.00 1.00 2.04 0.63 2.19 3.26 0.63 0.63

time (sec)

N/A 0.013 0.050 4.930 0.277 0.415 0.476 0.395 0.056

Problem 612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 26 26 17 24 0 17 18

N.S.

1 1.00 0.96 0.96 0.63 0.89 0.00 0.63 0.67

time (sec)

N/A 0.017 0.019 3.335 0.272 0.394 0.000 0.414 1.551

Problem 613

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 26 26 17 40 0 17 27

N.S.

1 1.00 0.96 0.96 0.63 1.48 0.00 0.63 1.00

time (sec)

N/A 0.014 0.022 2.640 0.286 0.373 0.000 0.389 0.173

Problem 614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

124 124 355 290 279 2040 0 240 495

N.S.

1 1.00 2.86 2.34 2.25 16.45 0.00 1.94 3.99

time (sec)

N/A 0.144 1.291 1.030 0.466 0.456 0.000 0.418 1.918

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

100 100 79 111 210 207 0 110 145

N.S.

1 1.00 0.79 1.11 2.10 2.07 0.00 1.10 1.45

time (sec)

N/A 0.148 0.125 0.911 0.283 0.377 0.000 0.410 1.520

Problem 616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

58 58 194 134 120 502 0 117 233

N.S.

1 1.00 3.34 2.31 2.07 8.66 0.00 2.02 4.02

time (sec)

N/A 0.074 1.353 0.971 0.482 0.394 0.000 0.414 1.613

Problem 617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 26 32 43 42 0 31 33

N.S.

1 1.00 0.90 1.10 1.48 1.45 0.00 1.07 1.14

time (sec)

N/A 0.040 0.034 0.625 0.262 0.417 0.000 0.401 1.566

Problem 618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 16 12 11 30 0 21 40

N.S.

1 1.00 1.45 1.09 1.00 2.73 0.00 1.91 3.64

time (sec)

N/A 0.007 0.007 0.466 0.262 0.381 0.000 0.412 0.071

Problem 619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 11 50 28 27 32 22 25

N.S.

1 1.00 1.00 4.55 2.55 2.45 2.91 2.00 2.27

time (sec)

N/A 0.031 0.006 0.987 0.259 0.356 0.235 0.403 0.080

Problem 620

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

62 62 502 101 100 362 0 97 132

N.S.

1 1.00 8.10 1.63 1.61 5.84 0.00 1.56 2.13

time (sec)

N/A 0.095 1.440 1.131 0.481 0.395 0.000 0.409 1.741

Problem 621

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B B A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 80 141 117 543 651 75 -1

N.S.

1 1.00 1.67 2.94 2.44 11.31 13.56 1.56 -0.02

time (sec)

N/A 0.058 0.087 1.216 0.290 0.431 1.300 0.430 0.000

Problem 622

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C B B B F A F

verified

N/A Yes NO TBD TBD TBD TBD TBD TBD

size

146 146 3430 357 375 2978 0 267 -1

N.S.

1 1.00 23.49 2.45 2.57 20.40 0.00 1.83 -0.01

time (sec)

N/A 0.259 6.302 1.319 0.504 0.415 0.000 0.436 0.000

Problem 623

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B B A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

95 95 140 285 297 2640 2162 152 -1

N.S.

1 1.00 1.47 3.00 3.13 27.79 22.76 1.60 -0.01

time (sec)

N/A 0.079 0.226 1.261 0.301 0.399 7.261 0.425 0.000

Problem 624

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

40 40 62 40 235 94 0 34 90

N.S.

1 1.00 1.55 1.00 5.88 2.35 0.00 0.85 2.25

time (sec)

N/A 0.047 0.084 2.107 0.493 0.393 0.000 0.421 0.285

Problem 625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 74 26 181 52 0 22 65

N.S.

1 1.00 1.95 0.68 4.76 1.37 0.00 0.58 1.71

time (sec)

N/A 0.072 0.095 1.422 0.262 0.397 0.000 0.423 1.632

Problem 626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 39 26 73 50 0 21 39

N.S.

1 1.00 1.50 1.00 2.81 1.92 0.00 0.81 1.50

time (sec)

N/A 0.037 0.021 1.497 0.473 0.350 0.000 0.406 1.647

Problem 627

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 14 15 25 17 0 12 14

N.S.

1 1.00 0.70 0.75 1.25 0.85 0.00 0.60 0.70

time (sec)

N/A 0.052 0.008 0.952 0.277 0.369 0.000 0.408 1.640

Problem 628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 17 11 9 11 0 18 14

N.S.

1 1.00 1.55 1.00 0.82 1.00 0.00 1.64 1.27

time (sec)

N/A 0.006 0.005 0.465 0.262 0.371 0.000 0.409 1.595

Problem 629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 13 17 33 15 11 22 13 14

N.S.

1 1.00 1.31 2.54 1.15 0.85 1.69 1.00 1.08

time (sec)

N/A 0.023 0.014 1.466 0.261 0.397 0.102 0.420 1.565

Problem 630

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 31 29 14 17 0 12 14

N.S.

1 1.00 1.55 1.45 0.70 0.85 0.00 0.60 0.70

time (sec)

N/A 0.031 0.021 1.770 0.260 0.405 0.000 0.397 1.504

Problem 631

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 28 40 56 33 50 432 27 41

N.S.

1 1.00 1.43 2.00 1.18 1.79 15.43 0.96 1.46

time (sec)

N/A 0.036 0.031 2.067 0.266 0.362 0.836 0.399 0.187

Problem 632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 75 41 40 52 0 22 67

N.S.

1 1.00 1.97 1.08 1.05 1.37 0.00 0.58 1.76

time (sec)

N/A 0.055 0.056 1.951 0.283 0.490 0.000 0.403 0.172

Problem 633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

42 42 45 68 58 94 1445 38 94

N.S.

1 1.00 1.07 1.62 1.38 2.24 34.40 0.90 2.24

time (sec)

N/A 0.040 0.080 2.285 0.266 0.404 2.831 0.407 1.679

Problem 634

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

42 42 62 40 235 94 0 34 94

N.S.

1 1.00 1.48 0.95 5.60 2.24 0.00 0.81 2.24

time (sec)

N/A 0.039 0.039 1.721 0.483 0.371 0.000 0.409 1.604

Problem 635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 75 26 181 52 0 22 67

N.S.

1 1.00 1.97 0.68 4.76 1.37 0.00 0.58 1.76

time (sec)

N/A 0.074 0.037 1.448 0.264 0.406 0.000 0.424 0.128

Problem 636

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 28 39 26 73 50 0 21 41

N.S.

1 1.00 1.39 0.93 2.61 1.79 0.00 0.75 1.46

time (sec)

N/A 0.035 0.021 1.551 0.464 0.391 0.000 0.405 0.155

Problem 637

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 14 15 25 17 0 12 14

N.S.

1 1.00 0.70 0.75 1.25 0.85 0.00 0.60 0.70

time (sec)

N/A 0.055 0.008 1.000 0.260 0.355 0.000 0.416 1.560

Problem 638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 17 11 9 11 0 18 14

N.S.

1 1.00 1.55 1.00 0.82 1.00 0.00 1.64 1.27

time (sec)

N/A 0.006 0.006 0.517 0.256 0.391 0.000 0.423 1.471

Problem 639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 17 33 15 11 22 13 14

N.S.

1 1.00 1.55 3.00 1.36 1.00 2.00 1.18 1.27

time (sec)

N/A 0.022 0.014 1.846 0.274 0.362 0.108 0.413 0.128

Problem 640

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 31 29 14 17 0 12 14

N.S.

1 1.00 1.55 1.45 0.70 0.85 0.00 0.60 0.70

time (sec)

N/A 0.033 0.020 1.720 0.256 0.373 0.000 0.406 1.506

Problem 641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 27 56 33 50 432 27 39

N.S.

1 1.00 1.04 2.15 1.27 1.92 16.62 1.04 1.50

time (sec)

N/A 0.036 0.028 2.247 0.271 0.412 0.818 0.416 0.172

Problem 642

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

38 38 74 41 40 52 0 22 65

N.S.

1 1.00 1.95 1.08 1.05 1.37 0.00 0.58 1.71

time (sec)

N/A 0.055 0.014 1.905 0.261 0.352 0.000 0.406 1.611

Problem 643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

40 40 45 68 58 94 1445 38 90

N.S.

1 1.00 1.12 1.70 1.45 2.35 36.12 0.95 2.25

time (sec)

N/A 0.043 0.075 2.229 0.291 0.367 2.789 0.399 1.687

Problem 644

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

124 124 244 276 330 2716 0 234 392

N.S.

1 1.00 1.97 2.23 2.66 21.90 0.00 1.89 3.16

time (sec)

N/A 0.173 0.328 0.865 0.269 0.429 0.000 0.404 0.202

Problem 645

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 95 113 214 209 0 112 146

N.S.

1 1.00 0.94 1.12 2.12 2.07 0.00 1.11 1.45

time (sec)

N/A 0.160 0.190 0.793 0.263 0.357 0.000 0.408 1.550

Problem 646

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

59 59 99 123 152 674 0 115 169

N.S.

1 1.00 1.68 2.08 2.58 11.42 0.00 1.95 2.86

time (sec)

N/A 0.087 0.180 0.796 0.276 0.379 0.000 0.407 1.540

Problem 647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

27 27 23 30 45 37 0 29 33

N.S.

1 1.00 0.85 1.11 1.67 1.37 0.00 1.07 1.22

time (sec)

N/A 0.045 0.089 0.609 0.251 0.354 0.000 0.396 1.605

Problem 648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 15 14 13 29 0 33 35

N.S.

1 1.00 1.25 1.17 1.08 2.42 0.00 2.75 2.92

time (sec)

N/A 0.008 0.006 0.453 0.259 0.393 0.000 0.398 0.064

Problem 649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 11 51 26 27 0 19 23

N.S.

1 1.00 1.00 4.64 2.36 2.45 0.00 1.73 2.09

time (sec)

N/A 0.030 0.015 1.131 0.264 0.371 0.000 0.427 0.086

Problem 650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 61 96 0 682 0 68 139

N.S.

1 1.00 0.91 1.43 0.00 10.18 0.00 1.01 2.07

time (sec)

N/A 0.097 0.241 1.036 0.000 0.420 0.000 0.414 1.789

Problem 651

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 77 114 111 521 0 66 -1

N.S.

1 1.00 1.54 2.28 2.22 10.42 0.00 1.32 -0.02

time (sec)

N/A 0.075 0.082 1.063 0.279 0.403 0.000 0.403 0.000

Problem 652

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

159 159 150 206 0 5830 0 242 -1

N.S.

1 1.00 0.94 1.30 0.00 36.67 0.00 1.52 -0.01

time (sec)

N/A 0.276 0.322 1.132 0.000 0.427 0.000 0.424 0.000

Problem 653

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

98 98 138 198 285 2564 0 135 -1

N.S.

1 1.00 1.41 2.02 2.91 26.16 0.00 1.38 -0.01

time (sec)

N/A 0.111 0.223 1.529 0.300 0.408 0.000 0.428 0.000

Problem 654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

28 28 53 32 236 270 0 33 81

N.S.

1 1.00 1.89 1.14 8.43 9.64 0.00 1.18 2.89

time (sec)

N/A 0.048 0.064 1.043 0.270 0.460 0.000 0.407 1.522

Problem 655

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 30 23 183 68 0 22 59

N.S.

1 1.00 1.00 0.77 6.10 2.27 0.00 0.73 1.97

time (sec)

N/A 0.081 0.040 0.846 0.269 0.361 0.000 0.413 0.049

Problem 656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 18 41 22 66 91 0 22 33

N.S.

1 1.00 2.28 1.22 3.67 5.06 0.00 1.22 1.83

time (sec)

N/A 0.047 0.039 0.808 0.264 0.350 0.000 0.407 0.046

Problem 657

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 10 11 25 22 0 10 10

N.S.

1 1.00 0.71 0.79 1.79 1.57 0.00 0.71 0.71

time (sec)

N/A 0.055 0.020 0.652 0.269 0.348 0.000 0.404 1.665

Problem 658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

9 9 11 10 9 13 0 25 11

N.S.

1 1.00 1.22 1.11 1.00 1.44 0.00 2.78 1.22

time (sec)

N/A 0.006 0.005 0.454 0.258 0.410 0.000 0.405 0.036

Problem 659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

5 5 9 20 11 13 0 11 11

N.S.

1 1.00 1.80 4.00 2.20 2.60 0.00 2.20 2.20

time (sec)

N/A 0.023 0.015 0.989 0.255 0.383 0.000 0.395 0.044

Problem 660

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 10 24 12 20 0 10 10

N.S.

1 1.00 0.83 2.00 1.00 1.67 0.00 0.83 0.83

time (sec)

N/A 0.039 0.016 0.986 0.264 0.364 0.000 0.401 0.177

Problem 661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 18 28 31 89 0 21 33

N.S.

1 1.00 1.29 2.00 2.21 6.36 0.00 1.50 2.36

time (sec)

N/A 0.046 0.016 1.056 0.260 0.379 0.000 0.414 1.550

Problem 662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 30 32 38 68 0 22 57

N.S.

1 1.00 1.15 1.23 1.46 2.62 0.00 0.85 2.19

time (sec)

N/A 0.064 0.017 1.015 0.272 0.360 0.000 0.394 1.553

Problem 663

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 22 32 36 52 266 0 30 79

N.S.

1 1.00 1.45 1.64 2.36 12.09 0.00 1.36 3.59

time (sec)

N/A 0.046 0.017 1.054 0.280 0.431 0.000 0.417 1.613

Problem 664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

24 24 55 28 238 265 0 28 77

N.S.

1 1.00 2.29 1.17 9.92 11.04 0.00 1.17 3.21

time (sec)

N/A 0.047 0.063 0.871 0.273 0.382 0.000 0.425 1.501

Problem 665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 30 23 183 68 0 22 57

N.S.

1 1.00 1.15 0.88 7.04 2.62 0.00 0.85 2.19

time (sec)

N/A 0.084 0.007 0.833 0.265 0.379 0.000 0.402 1.514

Problem 666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

16 16 43 20 68 88 0 19 31

N.S.

1 1.00 2.69 1.25 4.25 5.50 0.00 1.19 1.94

time (sec)

N/A 0.039 0.040 0.852 0.265 0.406 0.000 0.418 1.536

Problem 667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 18 11 25 20 0 10 10

N.S.

1 1.00 1.50 0.92 2.08 1.67 0.00 0.83 0.83

time (sec)

N/A 0.055 0.005 0.656 0.280 0.376 0.000 0.390 0.057

Problem 668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

11 11 13 12 11 11 0 25 9

N.S.

1 1.00 1.18 1.09 1.00 1.00 0.00 2.27 0.82

time (sec)

N/A 0.006 0.007 0.605 0.265 0.367 0.000 0.404 1.536

Problem 669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

9 9 9 23 13 11 0 10 9

N.S.

1 1.00 1.00 2.56 1.44 1.22 0.00 1.11 1.00

time (sec)

N/A 0.023 0.016 1.389 0.268 0.417 0.000 0.409 0.040

Problem 670

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A A A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 24 26 12 22 0 10 10

N.S.

1 1.00 1.71 1.86 0.86 1.57 0.00 0.71 0.71

time (sec)

N/A 0.037 0.008 1.037 0.267 0.352 0.000 0.401 1.672

Problem 671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 20 18 29 35 90 0 20 31

N.S.

1 1.00 0.90 1.45 1.75 4.50 0.00 1.00 1.55

time (sec)

N/A 0.040 0.018 1.026 0.261 0.389 0.000 0.408 1.511

Problem 672

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A C A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 28 34 38 68 0 22 59

N.S.

1 1.00 0.93 1.13 1.27 2.27 0.00 0.73 1.97

time (sec)

N/A 0.064 0.007 1.072 0.267 0.366 0.000 0.410 1.532

Problem 673

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

30 30 32 37 58 269 0 31 79

N.S.

1 1.00 1.07 1.23 1.93 8.97 0.00 1.03 2.63

time (sec)

N/A 0.046 0.019 1.047 0.274 0.384 0.000 0.413 1.523

Problem 674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

8 8 10 9 8 53 0 24 27

N.S.

1 1.00 1.25 1.12 1.00 6.62 0.00 3.00 3.38

time (sec)

N/A 0.006 0.004 0.384 0.254 0.496 0.000 0.397 0.045

Problem 675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 22 18 27 26 32 0 39 26

N.S.

1 1.00 0.82 1.23 1.18 1.45 0.00 1.77 1.18

time (sec)

N/A 0.017 0.005 0.753 0.271 0.401 0.000 0.421 1.576

Problem 676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 34 45 56 67 616 0 62 71

N.S.

1 1.00 1.32 1.65 1.97 18.12 0.00 1.82 2.09

time (sec)

N/A 0.040 0.050 0.777 0.267 0.413 0.000 0.402 0.064

Problem 677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

13 13 35 42 54 55 0 0 13

N.S.

1 1.00 2.69 3.23 4.15 4.23 0.00 0.00 1.00

time (sec)

N/A 0.051 0.051 3.434 0.482 0.464 0.000 0.000 1.539

Problem 678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F B B F(-2) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

31 31 21 0 109 97 0 0 -1

N.S.

1 1.00 0.68 0.00 3.52 3.13 0.00 0.00 -0.03

time (sec)

N/A 0.091 0.036 2.346 0.489 0.392 0.000 0.000 0.000

Problem 679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F B B F(-1) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 44 0 163 259 0 0 -1

N.S.

1 1.00 0.88 0.00 3.26 5.18 0.00 0.00 -0.02

time (sec)

N/A 0.111 0.224 2.283 0.486 0.397 0.000 0.000 0.000

Problem 680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

8 8 14 9 8 42 0 16 16

N.S.

1 1.00 1.75 1.12 1.00 5.25 0.00 2.00 2.00

time (sec)

N/A 0.005 0.004 0.395 0.257 0.393 0.000 0.414 1.491

Problem 681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 22 16 27 26 30 0 37 26

N.S.

1 1.00 0.73 1.23 1.18 1.36 0.00 1.68 1.18

time (sec)

N/A 0.016 0.019 0.743 0.254 0.341 0.000 0.396 1.543

Problem 682

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 34 37 59 56 486 0 66 57

N.S.

1 1.00 1.09 1.74 1.65 14.29 0.00 1.94 1.68

time (sec)

N/A 0.034 0.021 0.895 0.460 0.357 0.000 0.404 0.062

Problem 683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 14 43 39 57 0 0 15

N.S.

1 1.00 1.00 3.07 2.79 4.07 0.00 0.00 1.07

time (sec)

N/A 0.042 0.040 4.063 0.474 0.353 0.000 0.000 1.604

Problem 684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F B B F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

33 33 24 0 77 99 0 0 -1

N.S.

1 1.00 0.73 0.00 2.33 3.00 0.00 0.00 -0.03

time (sec)

N/A 0.065 0.058 2.321 0.479 0.372 0.000 0.000 0.000

Problem 685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F B B F(-2) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 30 0 115 257 0 0 -1

N.S.

1 1.00 0.57 0.00 2.17 4.85 0.00 0.00 -0.02

time (sec)

N/A 0.096 0.092 2.282 0.474 0.403 0.000 0.000 0.000

Problem 686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

18 24 35 17 39 96 0 43 39

N.S.

1 1.33 1.94 0.94 2.17 5.33 0.00 2.39 2.17

time (sec)

N/A 0.060 0.019 1.132 0.276 0.366 0.000 0.409 0.045

Problem 687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A B B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

20 24 50 17 40 96 0 43 41

N.S.

1 1.20 2.50 0.85 2.00 4.80 0.00 2.15 2.05

time (sec)

N/A 0.053 0.040 1.103 0.264 0.385 0.000 0.409 0.042

Problem 688

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

39 39 29 70 40 43 143 43 30

N.S.

1 1.00 0.74 1.79 1.03 1.10 3.67 1.10 0.77

time (sec)

N/A 0.048 0.054 1.068 0.270 0.418 0.291 0.400 0.087

Problem 689

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 89 93 0 435 685 61 157

N.S.

1 1.00 1.20 1.26 0.00 5.88 9.26 0.82 2.12

time (sec)

N/A 0.067 0.144 1.109 0.000 0.357 126.235 0.429 1.723

Problem 690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 75 155 87 337 0 114 86

N.S.

1 1.00 0.74 1.53 0.86 3.34 0.00 1.13 0.85

time (sec)

N/A 0.107 0.110 1.149 0.271 0.364 0.000 0.409 1.958

Problem 691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

39 39 29 71 41 42 150 43 29

N.S.

1 1.00 0.74 1.82 1.05 1.08 3.85 1.10 0.74

time (sec)

N/A 0.047 0.039 1.023 0.257 0.408 0.314 0.405 1.515

Problem 692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 80 93 0 435 774 61 157

N.S.

1 1.00 1.08 1.26 0.00 5.88 10.46 0.82 2.12

time (sec)

N/A 0.057 0.112 1.076 0.000 0.375 124.519 0.413 1.719

Problem 693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B F(-1) A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

101 101 75 153 86 331 0 111 84

N.S.

1 1.00 0.74 1.51 0.85 3.28 0.00 1.10 0.83

time (sec)

N/A 0.093 0.086 1.186 0.263 0.378 0.000 0.415 1.669

Problem 694

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 60 54 0 200 0 48 164

N.S.

1 1.00 1.20 1.08 0.00 4.00 0.00 0.96 3.28

time (sec)

N/A 0.070 0.094 1.697 0.000 0.421 0.000 0.416 3.533

Problem 695

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) A F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 59 53 0 239 0 60 177

N.S.

1 1.00 1.16 1.04 0.00 4.69 0.00 1.18 3.47

time (sec)

N/A 0.073 0.061 1.715 0.000 0.392 0.000 0.417 1.784

Problem 696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

66 66 125 99 0 594 0 72 183

N.S.

1 1.00 1.89 1.50 0.00 9.00 0.00 1.09 2.77

time (sec)

N/A 0.045 0.126 1.774 0.000 0.353 0.000 0.405 1.647

Problem 697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

68 68 61 101 104 348 983 113 108

N.S.

1 1.00 0.90 1.49 1.53 5.12 14.46 1.66 1.59

time (sec)

N/A 0.094 0.191 1.648 0.264 0.423 0.684 0.398 0.471

Problem 698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

195 301 205 121 0 1633 0 174 255

N.S.

1 1.54 1.05 0.62 0.00 8.37 0.00 0.89 1.31

time (sec)

N/A 0.938 0.318 1.388 0.000 0.389 0.000 0.427 1.792

Problem 699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F(-2) B F A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

64 64 124 98 0 596 0 72 183

N.S.

1 1.00 1.94 1.53 0.00 9.31 0.00 1.12 2.86

time (sec)

N/A 0.039 0.093 1.376 0.000 0.374 0.000 0.412 1.709

Problem 700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 66 104 104 348 952 114 104

N.S.

1 1.00 0.99 1.55 1.55 5.19 14.21 1.70 1.55

time (sec)

N/A 0.086 0.224 1.454 0.267 0.384 0.687 0.401 0.424

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