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2.2.7 Integrals 601 to 700

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 A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

6 2 2 3 2 2 2 3 2

N.S.

1 0.33 0.33 0.50 0.33 0.33 0.33 0.50 0.33

time (sec)

N/A 0.116 0.000 0.011 0.210 0.230 0.051 0.267 0.008

Problem 602

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 59 64 82 79 61 0 103

N.S.

1 0.00 2.27 2.46 3.15 3.04 2.35 0.00 3.96

time (sec)

N/A 0.000 0.306 5.618 0.359 0.251 0.412 0.000 15.159

Problem 603

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

24 19 19 22 27 26 26 26 20

N.S.

1 0.79 0.79 0.92 1.12 1.08 1.08 1.08 0.83

time (sec)

N/A 0.286 0.021 0.083 0.200 0.238 0.228 0.268 0.117

Problem 604

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 43 44 43 42 44 58 0

N.S.

1 0.00 1.30 1.33 1.30 1.27 1.33 1.76 0.00

time (sec)

N/A 0.000 0.151 3.844 0.353 0.250 0.551 0.323 0.000

Problem 605

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 109 88 29 94 92 102 99 138

N.S.

1 4.54 3.67 1.21 3.92 3.83 4.25 4.12 5.75

time (sec)

N/A 0.357 0.046 0.486 0.219 0.249 0.423 0.272 15.446

Problem 606

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

31 25 25 23 24 22 17 24 22

N.S.

1 0.81 0.81 0.74 0.77 0.71 0.55 0.77 0.71

time (sec)

N/A 0.511 0.058 0.266 0.336 0.248 0.122 0.291 16.506

Problem 607

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

30 0 39 40 58 39 36 45 270

N.S.

1 0.00 1.30 1.33 1.93 1.30 1.20 1.50 9.00

time (sec)

N/A 0.000 0.125 13.569 0.314 0.266 0.254 5.894 15.907

Problem 608

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

16 14 14 17 16 16 14 72 13

N.S.

1 0.88 0.88 1.06 1.00 1.00 0.88 4.50 0.81

time (sec)

N/A 0.422 0.132 1.973 0.249 0.238 0.122 0.286 16.440

Problem 609

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 29 30 28 28 27 34 27

N.S.

1 0.00 1.07 1.11 1.04 1.04 1.00 1.26 1.00

time (sec)

N/A 0.000 0.280 31.996 0.338 0.252 0.096 0.279 15.731

Problem 610

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B A B B B

verified

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

size

17 0 18 47 43 21 46 46 22

N.S.

1 0.00 1.06 2.76 2.53 1.24 2.71 2.71 1.29

time (sec)

N/A 0.000 0.122 1.969 0.321 0.252 0.367 0.373 15.745

Problem 611

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 158 60 26 512 26 22 149 26

N.S.

1 7.18 2.73 1.18 23.27 1.18 1.00 6.77 1.18

time (sec)

N/A 0.671 0.049 2.077 0.372 0.247 0.136 0.367 1.332

Problem 612

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

27 0 49 31 32 28 32 32 27

N.S.

1 0.00 1.81 1.15 1.19 1.04 1.19 1.19 1.00

time (sec)

N/A 0.000 0.682 0.171 0.345 0.262 0.093 0.275 15.965

Problem 613

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

24 13 13 13 12 12 14 12 12

N.S.

1 0.54 0.54 0.54 0.50 0.50 0.58 0.50 0.50

time (sec)

N/A 0.163 0.006 0.154 0.204 0.252 0.070 0.274 0.053

Problem 614

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

9 9 9 8 17 7 8 7 7

N.S.

1 1.00 1.00 0.89 1.89 0.78 0.89 0.78 0.78

time (sec)

N/A 0.149 0.004 0.068 0.209 0.248 0.065 0.271 15.651

Problem 615

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

31 0 37 25 44 33 27 0 26

N.S.

1 0.00 1.19 0.81 1.42 1.06 0.87 0.00 0.84

time (sec)

N/A 0.000 0.839 2.313 0.335 0.235 0.312 0.000 15.751

Problem 616

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 42 42 42 41 41 41 41 41

N.S.

1 2.33 2.33 2.33 2.28 2.28 2.28 2.28 2.28

time (sec)

N/A 0.164 0.014 0.066 0.206 0.242 0.046 0.264 15.480

Problem 617

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 23 30 24 95 27 24 0 0

N.S.

1 0.82 1.07 0.86 3.39 0.96 0.86 0.00 0.00

time (sec)

N/A 2.292 0.543 4.549 0.358 0.255 2.596 0.000 0.000

Problem 618

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 21 17 16 16 20 16 22

N.S.

1 0.00 0.81 0.65 0.62 0.62 0.77 0.62 0.85

time (sec)

N/A 0.000 0.298 1.220 0.261 0.252 0.095 0.273 16.678

Problem 619

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 28 21 27 35 22 31 27 24

N.S.

1 1.33 1.00 1.29 1.67 1.05 1.48 1.29 1.14

time (sec)

N/A 0.236 0.147 0.513 0.247 0.256 0.086 0.268 0.086

Problem 620

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

27 20 21 19 20 18 14 37 29

N.S.

1 0.74 0.78 0.70 0.74 0.67 0.52 1.37 1.07

time (sec)

N/A 0.191 0.025 0.870 0.210 0.243 0.092 0.261 16.260

Problem 621

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

34 36 32 28 22 27 31 27 27

N.S.

1 1.06 0.94 0.82 0.65 0.79 0.91 0.79 0.79

time (sec)

N/A 0.226 0.009 0.793 0.208 0.239 0.078 0.275 0.714

Problem 622

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

28 28 24 18 23 20 19 21 17

N.S.

1 1.00 0.86 0.64 0.82 0.71 0.68 0.75 0.61

time (sec)

N/A 0.679 0.156 0.882 0.248 0.253 0.141 0.268 16.504

Problem 623

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

27 19 19 19 18 18 102 18 18

N.S.

1 0.70 0.70 0.70 0.67 0.67 3.78 0.67 0.67

time (sec)

N/A 0.676 0.117 0.887 0.237 0.262 0.214 0.265 16.883

Problem 624

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

13 7 7 8 7 9 5 7 7

N.S.

1 0.54 0.54 0.62 0.54 0.69 0.38 0.54 0.54

time (sec)

N/A 0.133 0.001 0.060 0.209 0.264 0.036 0.267 0.025

Problem 625

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 69 25 49 62 46 34 33 0

N.S.

1 2.56 0.93 1.81 2.30 1.70 1.26 1.22 0.00

time (sec)

N/A 2.572 0.396 0.220 0.269 0.264 0.190 0.287 0.000

Problem 626

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A A B

verified

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

size

24 0 32 35 0 32 34 34 35

N.S.

1 0.00 1.33 1.46 0.00 1.33 1.42 1.42 1.46

time (sec)

N/A 0.000 0.113 5.980 0.000 0.241 0.662 0.841 16.134

Problem 627

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

27 23 21 18 19 17 17 22 17

N.S.

1 0.85 0.78 0.67 0.70 0.63 0.63 0.81 0.63

time (sec)

N/A 0.212 0.010 1.531 0.211 0.231 0.054 0.264 14.720

Problem 628

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 51 44 25 108 46 29 46 33

N.S.

1 2.22 1.91 1.09 4.70 2.00 1.26 2.00 1.43

time (sec)

N/A 0.854 0.357 0.096 0.264 0.262 0.096 0.269 0.208

Problem 629

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 52 23 23 22 22 24 22 23

N.S.

1 2.17 0.96 0.96 0.92 0.92 1.00 0.92 0.96

time (sec)

N/A 0.232 1.256 0.505 0.280 0.249 0.084 0.276 0.152

Problem 630

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

17 19 19 17 19 19 17 19 19

N.S.

1 1.12 1.12 1.00 1.12 1.12 1.00 1.12 1.12

time (sec)

N/A 0.141 0.000 0.087 0.219 0.244 0.036 0.262 0.033

Problem 631

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

29 15 15 16 15 21 12 17 15

N.S.

1 0.52 0.52 0.55 0.52 0.72 0.41 0.59 0.52

time (sec)

N/A 0.193 0.008 1.186 0.219 0.240 0.050 0.274 0.049

Problem 632

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

23 0 21 22 13 13 17 21 21

N.S.

1 0.00 0.91 0.96 0.57 0.57 0.74 0.91 0.91

time (sec)

N/A 0.000 0.123 2.074 0.232 0.257 0.194 0.269 15.288

Problem 633

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 25 18 32 103 26 24 79 26

N.S.

1 1.39 1.00 1.78 5.72 1.44 1.33 4.39 1.44

time (sec)

N/A 0.461 0.046 0.510 0.326 0.243 0.197 0.302 14.410

Problem 634

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

23 13 15 13 13 13 12 13 12

N.S.

1 0.57 0.65 0.57 0.57 0.57 0.52 0.57 0.52

time (sec)

N/A 0.128 0.001 0.143 0.207 0.249 0.021 0.266 13.137

Problem 635

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 35 27 34 0 44 73 44 27

N.S.

1 1.46 1.12 1.42 0.00 1.83 3.04 1.83 1.12

time (sec)

N/A 0.846 0.311 0.230 0.000 0.248 0.126 0.276 0.499

Problem 636

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

20 15 15 19 24 18 15 18 18

N.S.

1 0.75 0.75 0.95 1.20 0.90 0.75 0.90 0.90

time (sec)

N/A 0.306 0.051 4.688 0.541 0.240 0.084 0.280 13.351

Problem 637

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

23 24 25 27 25 24 31 25 23

N.S.

1 1.04 1.09 1.17 1.09 1.04 1.35 1.09 1.00

time (sec)

N/A 0.179 0.012 0.392 0.206 0.237 1.026 0.271 0.248

Problem 638

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A F B

verified

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

size

31 0 31 33 28 100 29 0 60

N.S.

1 0.00 1.00 1.06 0.90 3.23 0.94 0.00 1.94

time (sec)

N/A 0.000 0.683 9.720 0.377 0.273 15.362 0.000 14.072

Problem 639

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 111 19 15 97 15 15 49 14

N.S.

1 5.29 0.90 0.71 4.62 0.71 0.71 2.33 0.67

time (sec)

N/A 0.311 0.099 0.338 0.308 0.255 0.065 0.260 13.707

Problem 640

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

18 16 16 17 17 17 22 17 18

N.S.

1 0.89 0.89 0.94 0.94 0.94 1.22 0.94 1.00

time (sec)

N/A 0.299 0.067 1.107 0.228 0.243 0.061 0.273 13.566

Problem 641

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B F B

verified

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

size

30 0 56 147 370 157 158 0 549

N.S.

1 0.00 1.87 4.90 12.33 5.23 5.27 0.00 18.30

time (sec)

N/A 0.000 0.787 5.444 0.855 0.249 0.663 0.000 14.181

Problem 642

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

25 23 21 21 30 25 31 28 20

N.S.

1 0.92 0.84 0.84 1.20 1.00 1.24 1.12 0.80

time (sec)

N/A 0.271 0.010 0.253 0.213 0.241 0.255 0.273 0.146

Problem 643

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 36 24 21 44 27 17 32 26

N.S.

1 1.64 1.09 0.95 2.00 1.23 0.77 1.45 1.18

time (sec)

N/A 0.345 0.108 0.218 0.249 0.251 0.042 0.281 13.385

Problem 644

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

22 30 30 30 30 28 27 30 18

N.S.

1 1.36 1.36 1.36 1.36 1.27 1.23 1.36 0.82

time (sec)

N/A 0.367 0.087 1.074 0.241 0.238 0.144 0.267 13.841

Problem 645

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

8 6 6 7 6 6 8 7 6

N.S.

1 0.75 0.75 0.88 0.75 0.75 1.00 0.88 0.75

time (sec)

N/A 0.155 0.007 0.386 0.202 0.246 0.051 0.260 13.475

Problem 646

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

27 36 20 17 20 21 22 21 21

N.S.

1 1.33 0.74 0.63 0.74 0.78 0.81 0.78 0.78

time (sec)

N/A 0.161 0.007 0.125 0.205 0.247 0.143 0.268 13.468

Problem 647

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 22 24 25 24 23 22 0 27

N.S.

1 1.16 1.26 1.32 1.26 1.21 1.16 0.00 1.42

time (sec)

N/A 0.402 0.361 0.463 0.380 0.257 0.135 0.000 13.463

Problem 648

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 68 264 233 124 100 0 0

N.S.

1 0.00 2.19 8.52 7.52 4.00 3.23 0.00 0.00

time (sec)

N/A 0.000 0.178 10.016 0.368 0.269 0.385 0.000 0.000

Problem 649

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

26 0 30 35 31 39 36 0 41

N.S.

1 0.00 1.15 1.35 1.19 1.50 1.38 0.00 1.58

time (sec)

N/A 0.000 5.119 1.478 0.401 0.254 0.218 0.000 13.758

Problem 650

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 25 24 23 27 0 32 0

N.S.

1 0.00 0.96 0.92 0.88 1.04 0.00 1.23 0.00

time (sec)

N/A 0.000 0.698 17.173 0.371 0.255 0.000 0.284 0.000

Problem 651

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

30 26 26 83 83 63 73 83 67

N.S.

1 0.87 0.87 2.77 2.77 2.10 2.43 2.77 2.23

time (sec)

N/A 0.487 0.054 5.262 0.326 0.274 0.290 0.291 13.746

Problem 652

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

23 24 20 18 17 26 17 17 17

N.S.

1 1.04 0.87 0.78 0.74 1.13 0.74 0.74 0.74

time (sec)

N/A 0.255 0.017 0.157 0.202 0.250 0.059 0.256 0.090

Problem 653

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

25 26 26 21 25 21 20 21 21

N.S.

1 1.04 1.04 0.84 1.00 0.84 0.80 0.84 0.84

time (sec)

N/A 0.188 0.146 0.136 0.215 0.250 0.107 0.258 0.108

Problem 654

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

37 0 35 79 60 78 0 0 129

N.S.

1 0.00 0.95 2.14 1.62 2.11 0.00 0.00 3.49

time (sec)

N/A 0.000 1.872 57.589 0.320 0.271 0.000 0.000 14.620

Problem 655

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

12 12 12 11 10 10 8 11 10

N.S.

1 1.00 1.00 0.92 0.83 0.83 0.67 0.92 0.83

time (sec)

N/A 0.139 0.004 0.705 0.206 0.248 0.042 0.270 13.896

Problem 656

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 39 39 39 37 35 37 37 26

N.S.

1 2.79 2.79 2.79 2.64 2.50 2.64 2.64 1.86

time (sec)

N/A 0.208 0.004 0.179 0.206 0.245 0.107 0.260 13.535

Problem 657

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

24 34 21 19 26 34 34 27 25

N.S.

1 1.42 0.88 0.79 1.08 1.42 1.42 1.12 1.04

time (sec)

N/A 0.171 0.015 0.929 0.198 0.241 0.082 0.260 0.084

Problem 658

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A A B

verified

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

size

18 0 15 30 38 29 20 29 14

N.S.

1 0.00 0.83 1.67 2.11 1.61 1.11 1.61 0.78

time (sec)

N/A 0.000 0.025 0.144 0.343 0.247 0.126 0.265 13.865

Problem 659

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 95 96 93 93 0 95 0

N.S.

1 0.00 3.17 3.20 3.10 3.10 0.00 3.17 0.00

time (sec)

N/A 0.000 0.457 11.302 0.404 0.291 0.000 0.840 0.000

Problem 660

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

22 21 21 15 14 15 15 15 14

N.S.

1 0.95 0.95 0.68 0.64 0.68 0.68 0.68 0.64

time (sec)

N/A 0.170 0.028 0.119 0.207 0.244 0.072 0.265 0.069

Problem 661

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

22 0 21 22 32 21 17 21 349

N.S.

1 0.00 0.95 1.00 1.45 0.95 0.77 0.95 15.86

time (sec)

N/A 0.000 0.061 2.897 0.359 0.255 0.097 0.320 14.064

Problem 662

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 56 56 45 68 44 60 44 44

N.S.

1 3.11 3.11 2.50 3.78 2.44 3.33 2.44 2.44

time (sec)

N/A 0.713 0.141 0.230 0.222 0.250 0.152 0.263 14.163

Problem 663

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

24 13 13 12 13 13 12 14 11

N.S.

1 0.54 0.54 0.50 0.54 0.54 0.50 0.58 0.46

time (sec)

N/A 0.153 0.006 0.023 0.205 0.243 0.046 0.264 0.063

Problem 664

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

33 0 29 39 42 43 39 0 69

N.S.

1 0.00 0.88 1.18 1.27 1.30 1.18 0.00 2.09

time (sec)

N/A 0.000 0.289 5.497 0.353 0.267 0.154 0.000 14.130

Problem 665

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 38 20 21 72 25 24 34 22

N.S.

1 2.00 1.05 1.11 3.79 1.32 1.26 1.79 1.16

time (sec)

N/A 0.271 0.216 0.147 0.223 0.256 0.071 0.262 0.076

Problem 666

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

34 0 33 30 40 62 49 52 100

N.S.

1 0.00 0.97 0.88 1.18 1.82 1.44 1.53 2.94

time (sec)

N/A 0.000 0.095 2.298 0.385 0.277 0.177 0.301 14.011

Problem 667

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 24 66 0 65 66 0 131

N.S.

1 0.00 0.92 2.54 0.00 2.50 2.54 0.00 5.04

time (sec)

N/A 0.000 0.345 2.925 0.000 0.264 2.425 0.000 0.393

Problem 668

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A C A A A B

verified

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

size

27 0 24 22 81 46 17 46 21

N.S.

1 0.00 0.89 0.81 3.00 1.70 0.63 1.70 0.78

time (sec)

N/A 0.000 0.068 0.147 0.254 0.278 0.194 0.269 14.066

Problem 669

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A F B

verified

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

size

24 0 24 22 0 21 19 0 22

N.S.

1 0.00 1.00 0.92 0.00 0.88 0.79 0.00 0.92

time (sec)

N/A 0.000 0.333 1.688 0.000 0.250 16.522 0.000 14.833

Problem 670

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 39 30 27 26 35 24 26 26

N.S.

1 1.30 1.00 0.90 0.87 1.17 0.80 0.87 0.87

time (sec)

N/A 0.231 0.155 0.346 0.204 0.259 0.265 0.260 14.323

Problem 671

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

20 42 34 22 23 24 24 0 21

N.S.

1 2.10 1.70 1.10 1.15 1.20 1.20 0.00 1.05

time (sec)

N/A 0.451 0.222 1.160 0.358 0.241 0.125 0.000 14.665

Problem 672

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

36 17 17 16 15 15 17 17 15

N.S.

1 0.47 0.47 0.44 0.42 0.42 0.47 0.47 0.42

time (sec)

N/A 0.205 0.008 0.861 0.214 0.234 0.055 0.266 14.279

Problem 673

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

20 26 19 19 21 17 17 17 19

N.S.

1 1.30 0.95 0.95 1.05 0.85 0.85 0.85 0.95

time (sec)

N/A 0.156 0.052 0.072 0.201 0.247 0.050 0.257 14.097

Problem 674

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 84 61 19 50 24 14 23 18

N.S.

1 3.65 2.65 0.83 2.17 1.04 0.61 1.00 0.78

time (sec)

N/A 0.618 0.198 0.215 0.335 0.245 0.077 0.259 14.214

Problem 675

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

26 0 24 19 18 18 17 0 20

N.S.

1 0.00 0.92 0.73 0.69 0.69 0.65 0.00 0.77

time (sec)

N/A 0.000 1.727 0.583 0.479 0.255 2.652 0.000 15.084

Problem 676

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

26 0 29 28 31 29 46 50 27

N.S.

1 0.00 1.12 1.08 1.19 1.12 1.77 1.92 1.04

time (sec)

N/A 0.000 1.340 6.043 0.336 0.265 13.174 0.344 14.712

Problem 677

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 37 24 20 679 20 20 22 18

N.S.

1 1.95 1.26 1.05 35.74 1.05 1.05 1.16 0.95

time (sec)

N/A 0.352 0.104 0.807 0.227 0.250 0.085 0.276 0.302

Problem 678

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

24 27 27 24 116 20 22 20 35

N.S.

1 1.12 1.12 1.00 4.83 0.83 0.92 0.83 1.46

time (sec)

N/A 0.231 0.098 0.127 0.327 0.257 0.170 0.296 16.349

Problem 679

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

26 0 36 25 42 43 24 43 24

N.S.

1 0.00 1.38 0.96 1.62 1.65 0.92 1.65 0.92

time (sec)

N/A 0.000 1.158 0.412 0.332 0.242 0.086 0.267 0.724

Problem 680

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

20 0 20 21 26 26 20 55 20

N.S.

1 0.00 1.00 1.05 1.30 1.30 1.00 2.75 1.00

time (sec)

N/A 0.000 0.359 1.384 0.258 0.258 0.069 0.266 15.500

Problem 681

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B B B

verified

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

size

37 0 59 55 83 202 51 83 343

N.S.

1 0.00 1.59 1.49 2.24 5.46 1.38 2.24 9.27

time (sec)

N/A 0.000 0.220 188.224 0.337 0.256 0.421 0.690 16.878

Problem 682

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

10 4 4 5 4 4 3 5 4

N.S.

1 0.40 0.40 0.50 0.40 0.40 0.30 0.50 0.40

time (sec)

N/A 0.129 0.000 0.050 0.198 0.233 0.026 0.253 0.002

Problem 683

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A F B

verified

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

size

28 0 24 24 0 26 19 0 21

N.S.

1 0.00 0.86 0.86 0.00 0.93 0.68 0.00 0.75

time (sec)

N/A 0.000 0.337 0.391 0.000 0.286 0.127 0.000 15.972

Problem 684

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A A B

verified

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

size

27 0 25 25 0 24 20 25 41

N.S.

1 0.00 0.93 0.93 0.00 0.89 0.74 0.93 1.52

time (sec)

N/A 0.000 0.493 1.234 0.000 0.245 0.171 0.305 13.942

Problem 685

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 35 28 0 57 19 0 0

N.S.

1 0.00 1.21 0.97 0.00 1.97 0.66 0.00 0.00

time (sec)

N/A 0.000 0.313 13.464 0.000 0.252 0.935 0.000 0.000

Problem 686

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 33 28 69 27 0 29 30

N.S.

1 0.00 1.32 1.12 2.76 1.08 0.00 1.16 1.20

time (sec)

N/A 0.000 0.066 1.516 0.491 0.257 0.000 0.359 15.290

Problem 687

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A A B

verified

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

size

18 0 20 17 16 16 17 20 110

N.S.

1 0.00 1.11 0.94 0.89 0.89 0.94 1.11 6.11

time (sec)

N/A 0.000 0.146 4.344 0.322 0.275 0.078 0.271 14.214

Problem 688

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

15 20 18 16 17 17 15 17 18

N.S.

1 1.33 1.20 1.07 1.13 1.13 1.00 1.13 1.20

time (sec)

N/A 0.152 0.000 0.167 0.199 0.262 0.023 0.277 0.032

Problem 689

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

34 40 39 57 54 49 110 54 45

N.S.

1 1.18 1.15 1.68 1.59 1.44 3.24 1.59 1.32

time (sec)

N/A 4.227 0.191 5.582 0.332 0.284 0.599 0.375 14.154

Problem 690

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A B B

verified

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

size

30 0 21 22 58 58 41 66 38

N.S.

1 0.00 0.70 0.73 1.93 1.93 1.37 2.20 1.27

time (sec)

N/A 0.000 0.174 1.257 0.215 0.283 0.095 0.283 13.588

Problem 691

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A F A A B B

verified

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

size

27 0 25 34 0 42 31 58 60

N.S.

1 0.00 0.93 1.26 0.00 1.56 1.15 2.15 2.22

time (sec)

N/A 0.000 1.301 1.546 0.000 0.282 0.157 0.408 13.567

Problem 692

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A A F B

verified

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

size

20 0 20 16 16 16 19 0 17

N.S.

1 0.00 1.00 0.80 0.80 0.80 0.95 0.00 0.85

time (sec)

N/A 0.000 0.611 2.441 0.424 0.285 3.351 0.000 14.705

Problem 693

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 172 36 58 46 40 36 52 43

N.S.

1 5.06 1.06 1.71 1.35 1.18 1.06 1.53 1.26

time (sec)

N/A 0.819 0.534 2.937 0.317 0.269 0.366 0.282 14.225

Problem 694

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

26 20 20 17 16 17 12 16 17

N.S.

1 0.77 0.77 0.65 0.62 0.65 0.46 0.62 0.65

time (sec)

N/A 0.151 0.004 0.108 0.195 0.266 0.031 0.257 0.046

Problem 695

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

32 55 49 46 45 45 44 45 49

N.S.

1 1.72 1.53 1.44 1.41 1.41 1.38 1.41 1.53

time (sec)

N/A 0.629 2.701 1.118 0.365 0.293 0.146 0.268 14.287

Problem 696

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 774 46 35 34 37 32 55 24

N.S.

1 25.80 1.53 1.17 1.13 1.23 1.07 1.83 0.80

time (sec)

N/A 2.197 2.728 1.112 0.314 0.265 0.079 0.263 15.285

Problem 697

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 0 20 35 0 51 31 0 20

N.S.

1 0.00 1.00 1.75 0.00 2.55 1.55 0.00 1.00

time (sec)

N/A 0.000 0.614 26.421 0.000 0.270 0.372 0.000 16.074

Problem 698

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

15 1914 13 130 1620 240 357 448 448

N.S.

1 127.60 0.87 8.67 108.00 16.00 23.80 29.87 29.87

time (sec)

N/A 2.530 0.068 0.473 0.239 0.271 0.586 0.347 20.561

Problem 699

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B B B

verified

N/A No Yes Yes TBD TBD TBD TBD TBD

size

16 13 77 54 411 65 58 65 61

N.S.

1 0.81 4.81 3.38 25.69 4.06 3.62 4.06 3.81

time (sec)

N/A 0.400 2.286 2.350 0.220 0.259 0.108 0.275 16.500

Problem 700

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A A B A A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 3616 33 34 66 34 31 0 30

N.S.

1 106.35 0.97 1.00 1.94 1.00 0.91 0.00 0.88

time (sec)

N/A 20.641 0.105 3.320 0.411 0.287 0.255 0.000 18.231

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