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Integrals 4801 to 4900

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 4801

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 53 53 42 41 41 49 41 46

N.S.

1 1.71 1.71 1.35 1.32 1.32 1.58 1.32 1.48

time (sec)

N/A 0.011 0.013 0.051 0.188 0.247 0.051 0.292 10.394

Problem 4802

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

14 12 12 12 31 11 12 11 11

N.S.

1 0.86 0.86 0.86 2.21 0.79 0.86 0.79 0.79

time (sec)

N/A 0.036 0.004 0.038 0.194 0.238 0.065 0.275 0.059

Problem 4803

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 32 27 31 35 30 31 30 0

N.S.

1 1.10 0.93 1.07 1.21 1.03 1.07 1.03 0.00

time (sec)

N/A 0.263 2.233 0.214 0.301 0.249 0.156 0.293 0.000

Problem 4804

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 13 13 11 10 12 10 14 10

N.S.

1 0.72 0.72 0.61 0.56 0.67 0.56 0.78 0.56

time (sec)

N/A 0.003 0.010 0.053 0.177 0.240 0.048 0.262 9.695

Problem 4805

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 14 13 14 21 13 14 15 11

N.S.

1 0.67 0.62 0.67 1.00 0.62 0.67 0.71 0.52

time (sec)

N/A 0.025 0.017 0.107 0.202 0.235 0.057 0.265 9.790

Problem 4806

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

26 45 24 36 153 27 44 27 20

N.S.

1 1.73 0.92 1.38 5.88 1.04 1.69 1.04 0.77

time (sec)

N/A 0.043 2.546 0.158 0.243 0.249 0.166 0.270 0.185

Problem 4807

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B B F B B B B

verified

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

size

23 0 87 104 0 103 104 163 338

N.S.

1 0.00 3.78 4.52 0.00 4.48 4.52 7.09 14.70

time (sec)

N/A 0.000 0.394 0.515 0.000 0.259 0.463 2.276 10.985

Problem 4808

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 25 26 25 27 26 27 0

N.S.

1 0.00 0.76 0.79 0.76 0.82 0.79 0.82 0.00

time (sec)

N/A 0.000 5.038 0.479 0.297 0.252 0.099 0.308 0.000

Problem 4809

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

25 109 22 83 262 57 104 130 21

N.S.

1 4.36 0.88 3.32 10.48 2.28 4.16 5.20 0.84

time (sec)

N/A 0.514 0.948 0.529 0.205 0.240 0.179 0.282 10.781

Problem 4810

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B A A B B

verified

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

size

33 0 88 57 83 51 48 96 44

N.S.

1 0.00 2.67 1.73 2.52 1.55 1.45 2.91 1.33

time (sec)

N/A 0.000 0.232 28.199 0.220 0.251 3.111 0.292 10.834

Problem 4811

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A C A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 22 20 22 85 25 26 45 16

N.S.

1 1.00 0.91 1.00 3.86 1.14 1.18 2.05 0.73

time (sec)

N/A 0.119 0.012 0.273 0.231 0.250 0.139 0.271 10.279

Problem 4812

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

25 69 18 25 17 25 20 24 17

N.S.

1 2.76 0.72 1.00 0.68 1.00 0.80 0.96 0.68

time (sec)

N/A 0.041 0.028 0.536 0.313 0.243 0.086 0.286 12.278

Problem 4813

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 18 20 20 27 27 26 27 21

N.S.

1 0.90 1.00 1.00 1.35 1.35 1.30 1.35 1.05

time (sec)

N/A 0.017 0.010 0.060 0.183 0.259 0.049 0.269 0.063

Problem 4814

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 42 22 27 0 27 17 39 22

N.S.

1 1.68 0.88 1.08 0.00 1.08 0.68 1.56 0.88

time (sec)

N/A 0.227 0.117 0.238 0.000 0.242 0.091 0.267 10.763

Problem 4815

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

18 37 16 16 21 21 19 25 15

N.S.

1 2.06 0.89 0.89 1.17 1.17 1.06 1.39 0.83

time (sec)

N/A 0.287 0.153 0.055 0.217 0.241 0.063 0.263 10.986

Problem 4816

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

21 39 30 37 46 52 54 52 44

N.S.

1 1.86 1.43 1.76 2.19 2.48 2.57 2.48 2.10

time (sec)

N/A 1.574 0.749 0.322 0.222 0.242 0.092 0.273 10.147

Problem 4817

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

23 0 23 34 58 33 31 48 62

N.S.

1 0.00 1.00 1.48 2.52 1.43 1.35 2.09 2.70

time (sec)

N/A 0.000 0.332 0.527 0.327 0.253 0.182 0.490 10.894

Problem 4818

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 3 3 4 3 3 2 3 3

N.S.

1 0.20 0.20 0.27 0.20 0.20 0.13 0.20 0.20

time (sec)

N/A 0.000 0.000 0.003 0.177 0.248 0.018 0.270 0.013

Problem 4819

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B A B B

verified

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

size

30 0 50 40 61 53 44 66 281

N.S.

1 0.00 1.67 1.33 2.03 1.77 1.47 2.20 9.37

time (sec)

N/A 0.000 0.258 6.524 0.226 0.239 0.201 0.351 11.825

Problem 4820

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 15 15 13 12 12 10 12 12

N.S.

1 0.54 0.54 0.46 0.43 0.43 0.36 0.43 0.43

time (sec)

N/A 0.004 0.007 0.026 0.190 0.234 0.036 0.263 10.842

Problem 4821

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

16 16 16 16 15 15 17 0 15

N.S.

1 1.00 1.00 1.00 0.94 0.94 1.06 0.00 0.94

time (sec)

N/A 0.053 0.025 0.184 0.336 0.249 0.067 0.000 10.785

Problem 4822

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

17 17 17 18 74 74 78 134 17

N.S.

1 1.00 1.00 1.06 4.35 4.35 4.59 7.88 1.00

time (sec)

N/A 0.163 0.015 0.244 0.231 0.267 0.117 0.289 11.466

Problem 4823

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B B B B B

verified

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

size

32 0 160 40 144 110 90 139 186

N.S.

1 0.00 5.00 1.25 4.50 3.44 2.81 4.34 5.81

time (sec)

N/A 0.000 0.558 1.702 0.545 11.532 0.668 0.682 11.470

Problem 4824

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 62 29 47 70 63 41 75 0

N.S.

1 2.14 1.00 1.62 2.41 2.17 1.41 2.59 0.00

time (sec)

N/A 2.374 0.175 1.390 0.329 0.263 0.220 0.292 0.000

Problem 4825

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 98 76 52 128 48 53 87 65

N.S.

1 3.50 2.71 1.86 4.57 1.71 1.89 3.11 2.32

time (sec)

N/A 0.229 0.090 0.163 0.185 0.249 0.105 0.268 10.415

Problem 4826

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

23 24 22 24 22 23 24 0 23

N.S.

1 1.04 0.96 1.04 0.96 1.00 1.04 0.00 1.00

time (sec)

N/A 0.158 0.182 0.394 0.304 0.252 0.178 0.000 10.897

Problem 4827

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B B B A B

verified

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

size

27 0 39 39 76 76 42 46 284

N.S.

1 0.00 1.44 1.44 2.81 2.81 1.56 1.70 10.52

time (sec)

N/A 0.000 0.063 0.316 0.219 0.244 0.068 0.276 10.704

Problem 4828

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 24 19 18 18 19 20 19 17

N.S.

1 0.83 0.66 0.62 0.62 0.66 0.69 0.66 0.59

time (sec)

N/A 0.075 0.263 0.159 0.184 0.250 0.268 0.280 10.127

Problem 4829

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

5 5 5 5 4 4 3 4 4

N.S.

1 1.00 1.00 1.00 0.80 0.80 0.60 0.80 0.80

time (sec)

N/A 0.001 0.000 0.038 0.185 0.248 0.028 0.275 0.007

Problem 4830

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 10 14 8 7 9 8 7 8

N.S.

1 0.67 0.93 0.53 0.47 0.60 0.53 0.47 0.53

time (sec)

N/A 0.001 0.000 0.012 0.186 0.229 0.015 0.269 0.002

Problem 4831

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 25 23 26 25 25 20 25 24

N.S.

1 0.93 0.85 0.96 0.93 0.93 0.74 0.93 0.89

time (sec)

N/A 0.505 0.497 1.078 0.281 0.255 0.127 0.455 11.918

Problem 4832

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 34 32 51 53 34 38 45

N.S.

1 0.00 1.00 0.94 1.50 1.56 1.00 1.12 1.32

time (sec)

N/A 0.000 0.084 0.939 0.314 0.251 0.156 0.285 10.190

Problem 4833

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

27 0 38 43 119 119 61 65 0

N.S.

1 0.00 1.41 1.59 4.41 4.41 2.26 2.41 0.00

time (sec)

N/A 0.000 0.068 0.379 0.239 0.260 0.085 0.285 0.000

Problem 4834

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

27 0 26 32 78 29 36 41 22

N.S.

1 0.00 0.96 1.19 2.89 1.07 1.33 1.52 0.81

time (sec)

N/A 0.000 0.441 10.061 0.233 0.259 106.491 0.342 11.180

Problem 4835

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 20 18 16 18 21 26 21 23

N.S.

1 1.00 0.90 0.80 0.90 1.05 1.30 1.05 1.15

time (sec)

N/A 0.030 0.044 0.093 0.185 0.252 0.084 0.269 0.290

Problem 4836

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 18 18 15 14 14 15 14 12

N.S.

1 0.67 0.67 0.56 0.52 0.52 0.56 0.52 0.44

time (sec)

N/A 0.003 0.004 0.023 0.189 0.244 0.045 0.268 10.685

Problem 4837

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

22 75 18 38 41 36 41 41 13

N.S.

1 3.41 0.82 1.73 1.86 1.64 1.86 1.86 0.59

time (sec)

N/A 0.057 0.092 0.127 0.301 0.258 0.129 0.264 10.804

Problem 4838

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

23 56 23 19 18 34 20 0 19

N.S.

1 2.43 1.00 0.83 0.78 1.48 0.87 0.00 0.83

time (sec)

N/A 0.101 0.049 3.429 0.392 0.257 0.099 0.000 11.280

Problem 4839

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B A B

verified

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

size

37 0 37 48 57 55 53 59 63

N.S.

1 0.00 1.00 1.30 1.54 1.49 1.43 1.59 1.70

time (sec)

N/A 0.000 0.165 0.294 0.484 0.255 0.526 0.569 11.762

Problem 4840

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 57 40 51 67 43 34 44 46

N.S.

1 2.59 1.82 2.32 3.05 1.95 1.55 2.00 2.09

time (sec)

N/A 0.132 0.067 0.142 0.224 0.248 0.098 0.285 0.225

Problem 4841

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A A B B B

verified

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

size

25 0 28 34 44 35 36 59 142

N.S.

1 0.00 1.12 1.36 1.76 1.40 1.44 2.36 5.68

time (sec)

N/A 0.000 0.857 1.405 0.321 0.243 0.137 0.346 11.580

Problem 4842

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

18 42 22 21 20 20 22 20 16

N.S.

1 2.33 1.22 1.17 1.11 1.11 1.22 1.11 0.89

time (sec)

N/A 0.014 0.017 0.052 0.177 0.243 0.070 0.274 10.827

Problem 4843

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 23 20 23 22 28 20 22 20

N.S.

1 0.88 0.77 0.88 0.85 1.08 0.77 0.85 0.77

time (sec)

N/A 0.025 0.014 0.072 0.185 0.256 0.221 0.273 0.070

Problem 4844

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

17 10 10 11 12 10 7 10 10

N.S.

1 0.59 0.59 0.65 0.71 0.59 0.41 0.59 0.59

time (sec)

N/A 0.030 0.060 0.296 0.212 0.234 0.040 0.269 10.843

Problem 4845

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

32 0 82 45 111 53 0 75 0

N.S.

1 0.00 2.56 1.41 3.47 1.66 0.00 2.34 0.00

time (sec)

N/A 0.000 0.912 3.069 0.272 0.261 0.000 0.413 0.000

Problem 4846

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A B B

verified

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

size

28 0 26 25 60 25 22 52 56

N.S.

1 0.00 0.93 0.89 2.14 0.89 0.79 1.86 2.00

time (sec)

N/A 0.000 5.284 8.440 0.380 0.257 0.609 0.436 11.659

Problem 4847

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

29 44 29 28 71 43 44 71 78

N.S.

1 1.52 1.00 0.97 2.45 1.48 1.52 2.45 2.69

time (sec)

N/A 2.527 3.688 0.406 0.489 0.252 0.144 0.279 10.743

Problem 4848

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 57 39 35 27 39 22 0 0

N.S.

1 1.97 1.34 1.21 0.93 1.34 0.76 0.00 0.00

time (sec)

N/A 0.695 0.235 0.102 0.246 0.254 0.097 0.000 0.000

Problem 4849

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

19 26 24 19 19 19 20 19 19

N.S.

1 1.37 1.26 1.00 1.00 1.00 1.05 1.00 1.00

time (sec)

N/A 0.068 0.742 0.091 0.198 0.250 0.122 0.267 11.303

Problem 4850

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 11 11 11 10 10 12 10 10

N.S.

1 0.73 0.73 0.73 0.67 0.67 0.80 0.67 0.67

time (sec)

N/A 0.007 0.015 0.052 0.183 0.254 0.042 0.253 0.030

Problem 4851

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 21 21 194 194 92 212 0

N.S.

1 0.00 0.91 0.91 8.43 8.43 4.00 9.22 0.00

time (sec)

N/A 0.000 0.097 0.384 0.248 0.261 0.145 0.305 0.000

Problem 4852

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 19 20 20 26 26 22 20 20

N.S.

1 0.83 0.87 0.87 1.13 1.13 0.96 0.87 0.87

time (sec)

N/A 0.211 0.224 0.335 0.224 0.243 0.151 0.271 11.012

Problem 4853

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

20 55 40 35 50 33 36 45 31

N.S.

1 2.75 2.00 1.75 2.50 1.65 1.80 2.25 1.55

time (sec)

N/A 0.015 0.009 0.097 0.180 0.247 0.059 0.261 11.405

Problem 4854

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 27 28 22 20 28 27 20 21

N.S.

1 1.08 1.12 0.88 0.80 1.12 1.08 0.80 0.84

time (sec)

N/A 0.011 0.025 0.060 0.191 0.263 0.056 0.258 0.135

Problem 4855

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 21 12 12 23 12 10 11 9

N.S.

1 1.75 1.00 1.00 1.92 1.00 0.83 0.92 0.75

time (sec)

N/A 0.012 0.032 0.031 0.190 0.276 0.038 0.271 11.114

Problem 4856

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 21 21 27 30 23 19 23 0

N.S.

1 1.00 1.00 1.29 1.43 1.10 0.90 1.10 0.00

time (sec)

N/A 0.353 0.067 0.879 0.308 0.248 0.121 0.310 0.000

Problem 4857

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 55 15 45 45 48 51 48 16

N.S.

1 2.62 0.71 2.14 2.14 2.29 2.43 2.29 0.76

time (sec)

N/A 0.031 0.018 0.052 0.272 0.246 0.070 0.275 0.080

Problem 4858

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 25 25 29 31 28 26 28 25

N.S.

1 0.78 0.78 0.91 0.97 0.88 0.81 0.88 0.78

time (sec)

N/A 0.195 0.475 0.413 0.309 0.235 0.178 0.321 10.914

Problem 4859

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A C A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 39 65 43 66 42 41 48 41

N.S.

1 1.56 2.60 1.72 2.64 1.68 1.64 1.92 1.64

time (sec)

N/A 0.535 0.213 0.975 0.223 0.244 0.160 0.276 10.382

Problem 4860

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B F B B F B

verified

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

size

25 0 26 52 0 56 54 0 60

N.S.

1 0.00 1.04 2.08 0.00 2.24 2.16 0.00 2.40

time (sec)

N/A 0.000 5.250 0.282 0.000 0.260 0.274 0.000 10.658

Problem 4861

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 123 88 60 54 97 58 0 0

N.S.

1 4.39 3.14 2.14 1.93 3.46 2.07 0.00 0.00

time (sec)

N/A 9.049 0.621 0.528 0.201 0.257 3.533 0.000 0.000

Problem 4862

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 18 17 16 16 15 16 17

N.S.

1 0.00 0.67 0.63 0.59 0.59 0.56 0.59 0.63

time (sec)

N/A 0.000 0.368 0.301 0.219 0.246 0.087 0.276 0.285

Problem 4863

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

31 47 47 40 39 68 48 39 45

N.S.

1 1.52 1.52 1.29 1.26 2.19 1.55 1.26 1.45

time (sec)

N/A 0.278 1.799 0.134 0.188 0.237 0.070 0.282 0.421

Problem 4864

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 15 15 12 13 13 12 13 13

N.S.

1 1.00 1.00 0.80 0.87 0.87 0.80 0.87 0.87

time (sec)

N/A 0.232 0.246 0.243 0.298 0.244 0.057 0.265 11.032

Problem 4865

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 33 33 28 27 29 29 29 27

N.S.

1 1.22 1.22 1.04 1.00 1.07 1.07 1.07 1.00

time (sec)

N/A 0.496 0.401 0.091 0.236 0.240 0.092 0.277 11.337

Problem 4866

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

21 0 21 18 23 16 0 0 17

N.S.

1 0.00 1.00 0.86 1.10 0.76 0.00 0.00 0.81

time (sec)

N/A 0.000 0.665 26.414 0.394 0.243 0.000 0.000 11.727

Problem 4867

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 124 61 78 70 70 0 72

N.S.

1 0.00 4.13 2.03 2.60 2.33 2.33 0.00 2.40

time (sec)

N/A 0.000 1.935 27.898 0.250 0.254 0.504 0.000 12.057

Problem 4868

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

20 0 20 19 32 28 15 18 37

N.S.

1 0.00 1.00 0.95 1.60 1.40 0.75 0.90 1.85

time (sec)

N/A 0.000 0.215 0.269 0.303 0.264 0.062 0.302 11.961

Problem 4869

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 1653 28 61 898 42 26 53 0

N.S.

1 61.22 1.04 2.26 33.26 1.56 0.96 1.96 0.00

time (sec)

N/A 5.655 5.070 0.381 0.371 0.255 0.148 0.306 0.000

Problem 4870

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 11 19 10 11 11 8 13 8

N.S.

1 0.65 1.12 0.59 0.65 0.65 0.47 0.76 0.47

time (sec)

N/A 0.003 0.005 0.119 0.193 0.237 0.043 0.286 0.114

Problem 4871

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 45 38 35 37 37 39 37 36

N.S.

1 1.73 1.46 1.35 1.42 1.42 1.50 1.42 1.38

time (sec)

N/A 0.009 0.016 0.045 0.190 0.233 0.027 0.292 0.070

Problem 4872

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A B A A F B

verified

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

size

33 0 38 32 161 33 32 0 48

N.S.

1 0.00 1.15 0.97 4.88 1.00 0.97 0.00 1.45

time (sec)

N/A 0.000 0.644 5.567 0.378 0.242 0.352 0.000 11.489

Problem 4873

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

29 0 25 53 27 25 42 44 27

N.S.

1 0.00 0.86 1.83 0.93 0.86 1.45 1.52 0.93

time (sec)

N/A 0.000 0.059 0.494 0.315 0.239 0.389 0.348 11.481

Problem 4874

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

21 15 15 17 17 16 14 47 17

N.S.

1 0.71 0.71 0.81 0.81 0.76 0.67 2.24 0.81

time (sec)

N/A 0.113 0.068 0.315 0.305 0.239 0.094 0.275 11.843

Problem 4875

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

21 0 21 20 0 31 20 0 30

N.S.

1 0.00 1.00 0.95 0.00 1.48 0.95 0.00 1.43

time (sec)

N/A 0.000 0.874 0.235 0.000 0.262 0.124 0.000 12.160

Problem 4876

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 201 47 39 49 37 44 37 41

N.S.

1 7.18 1.68 1.39 1.75 1.32 1.57 1.32 1.46

time (sec)

N/A 0.215 0.128 0.303 0.312 0.243 0.080 0.277 0.303

Problem 4877

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A B A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 45 26 23 71 21 22 26 22

N.S.

1 2.05 1.18 1.05 3.23 0.95 1.00 1.18 1.00

time (sec)

N/A 0.064 0.214 0.055 0.196 0.237 0.057 0.268 12.153

Problem 4878

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 8 8 8 7 7 5 7 7

N.S.

1 0.47 0.47 0.47 0.41 0.41 0.29 0.41 0.41

time (sec)

N/A 0.003 0.003 0.021 0.183 0.235 0.044 0.271 0.039

Problem 4879

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

24 0 29 27 29 26 24 26 26

N.S.

1 0.00 1.21 1.12 1.21 1.08 1.00 1.08 1.08

time (sec)

N/A 0.000 3.766 1.704 0.307 0.242 0.388 0.362 11.965

Problem 4880

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

28 0 19 20 25 27 24 27 27

N.S.

1 0.00 0.68 0.71 0.89 0.96 0.86 0.96 0.96

time (sec)

N/A 0.000 0.618 2.722 0.319 0.248 0.061 0.276 0.252

Problem 4881

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

24 0 24 22 18 49 17 0 18

N.S.

1 0.00 1.00 0.92 0.75 2.04 0.71 0.00 0.75

time (sec)

N/A 0.000 0.331 0.260 0.345 0.259 0.156 0.000 12.473

Problem 4882

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

19 0 19 17 19 16 19 16 20

N.S.

1 0.00 1.00 0.89 1.00 0.84 1.00 0.84 1.05

time (sec)

N/A 0.000 0.689 1.409 0.369 0.249 0.169 0.391 12.397

Problem 4883

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 20 20 17 16 20 19 20 16

N.S.

1 1.00 1.00 0.85 0.80 1.00 0.95 1.00 0.80

time (sec)

N/A 0.130 0.232 0.212 0.213 0.267 0.110 0.278 12.094

Problem 4884

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 27 43 19 33 17 114 33 18

N.S.

1 1.08 1.72 0.76 1.32 0.68 4.56 1.32 0.72

time (sec)

N/A 0.027 0.015 0.254 0.196 0.253 0.160 0.271 0.165

Problem 4885

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B B B C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 122 122 100 325 107 129 154 151

N.S.

1 4.88 4.88 4.00 13.00 4.28 5.16 6.16 6.04

time (sec)

N/A 0.277 10.511 0.410 0.363 0.271 0.180 0.286 12.083

Problem 4886

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

30 0 25 21 24 19 26 0 23

N.S.

1 0.00 0.83 0.70 0.80 0.63 0.87 0.00 0.77

time (sec)

N/A 0.000 0.073 0.404 0.311 0.253 0.230 0.000 13.701

Problem 4887

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B A A A B

verified

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

size

25 0 24 49 59 43 42 43 55

N.S.

1 0.00 0.96 1.96 2.36 1.72 1.68 1.72 2.20

time (sec)

N/A 0.000 0.331 1.785 0.301 0.264 0.192 0.428 0.237

Problem 4888

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A F A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 150 23 40 0 36 37 87 47

N.S.

1 5.17 0.79 1.38 0.00 1.24 1.28 3.00 1.62

time (sec)

N/A 0.440 0.115 0.498 0.000 0.247 0.557 0.342 12.756

Problem 4889

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

25 53 22 25 28 23 27 0 20

N.S.

1 2.12 0.88 1.00 1.12 0.92 1.08 0.00 0.80

time (sec)

N/A 0.578 0.627 3.349 0.300 0.245 0.201 0.000 12.459

Problem 4890

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 0 0 32 27 0 31 0

N.S.

1 0.00 0.00 0.00 1.33 1.12 0.00 1.29 0.00

time (sec)

N/A 0.000 0.000 0.000 0.347 0.254 0.000 3.093 0.000

Problem 4891

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 34 18 33 84 32 31 32 23

N.S.

1 1.89 1.00 1.83 4.67 1.78 1.72 1.78 1.28

time (sec)

N/A 0.172 0.058 0.078 0.184 0.243 0.105 0.277 10.099

Problem 4892

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

33 26 26 23 22 22 22 22 22

N.S.

1 0.79 0.79 0.70 0.67 0.67 0.67 0.67 0.67

time (sec)

N/A 0.004 0.011 0.062 0.183 0.253 0.039 0.276 0.073

Problem 4893

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

19 23 14 15 11 22 20 16 17

N.S.

1 1.21 0.74 0.79 0.58 1.16 1.05 0.84 0.89

time (sec)

N/A 0.007 0.007 0.233 0.185 0.246 0.059 0.271 10.109

Problem 4894

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

9 11 11 10 11 11 8 11 12

N.S.

1 1.22 1.22 1.11 1.22 1.22 0.89 1.22 1.33

time (sec)

N/A 0.001 0.000 0.049 0.185 0.234 0.019 0.273 0.022

Problem 4895

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

36 0 52 68 47 51 26 30 0

N.S.

1 0.00 1.44 1.89 1.31 1.42 0.72 0.83 0.00

time (sec)

N/A 0.000 0.054 0.735 0.239 0.254 0.143 0.291 0.000

Problem 4896

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 38 25 37 0 39 48 36 0

N.S.

1 2.00 1.32 1.95 0.00 2.05 2.53 1.89 0.00

time (sec)

N/A 2.707 0.077 0.341 0.000 0.251 8.214 0.286 0.000

Problem 4897

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A A A A A B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 66 23 17 22 16 19 52 18

N.S.

1 2.87 1.00 0.74 0.96 0.70 0.83 2.26 0.78

time (sec)

N/A 0.201 0.738 0.235 0.240 0.279 0.048 0.283 10.257

Problem 4898

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

21 35 21 19 36 17 20 18 18

N.S.

1 1.67 1.00 0.90 1.71 0.81 0.95 0.86 0.86

time (sec)

N/A 0.019 0.041 0.045 0.187 0.252 0.057 0.284 0.076

Problem 4899

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 18 16 18 21 19 15 19 22

N.S.

1 0.86 0.76 0.86 1.00 0.90 0.71 0.90 1.05

time (sec)

N/A 0.027 0.091 0.119 0.218 0.265 0.047 0.272 10.403

Problem 4900

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

22 32 26 30 60 29 27 29 29

N.S.

1 1.45 1.18 1.36 2.73 1.32 1.23 1.32 1.32

time (sec)

N/A 0.018 0.011 0.114 0.180 0.247 0.068 0.285 10.153

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