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Integrals 6001 to 6100

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 6001

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B F B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

19 19 19 47 0 43 42 74 46

N.S.

1 1.00 1.00 2.47 0.00 2.26 2.21 3.89 2.42

time (sec)

N/A 0.162 0.044 0.398 0.000 0.236 0.202 0.281 0.302

Problem 6002

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 17 15 12 12 12 10 12 11

N.S.

1 0.68 0.60 0.48 0.48 0.48 0.40 0.48 0.44

time (sec)

N/A 0.005 0.007 0.092 0.186 0.232 0.037 0.271 11.743

Problem 6003

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 27 27 26 31 25 27 25 25

N.S.

1 0.84 0.84 0.81 0.97 0.78 0.84 0.78 0.78

time (sec)

N/A 0.054 0.029 0.163 0.304 0.245 0.082 0.313 12.327

Problem 6004

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

23 0 23 126 52 18 0 0 18

N.S.

1 0.00 1.00 5.48 2.26 0.78 0.00 0.00 0.78

time (sec)

N/A 0.000 0.176 0.262 0.415 0.262 0.000 0.000 12.893

Problem 6005

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

21 0 26 47 27 32 53 63 27

N.S.

1 0.00 1.24 2.24 1.29 1.52 2.52 3.00 1.29

time (sec)

N/A 0.000 2.652 0.540 0.243 0.259 0.214 0.283 12.575

Problem 6006

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

17 0 17 16 15 15 17 20 18

N.S.

1 0.00 1.00 0.94 0.88 0.88 1.00 1.18 1.06

time (sec)

N/A 0.000 0.336 0.100 0.261 0.243 0.124 0.271 0.226

Problem 6007

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F B A B B B A B

verified

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

size

19 0 46 25 41 45 37 31 29

N.S.

1 0.00 2.42 1.32 2.16 2.37 1.95 1.63 1.53

time (sec)

N/A 0.000 0.305 0.322 0.191 0.263 0.126 0.269 12.459

Problem 6008

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

7 7 7 9 8 8 7 9 8

N.S.

1 1.00 1.00 1.29 1.14 1.14 1.00 1.29 1.14

time (sec)

N/A 0.001 0.001 0.351 0.197 0.244 0.030 0.267 0.036

Problem 6009

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 8 8 9 8 8 7 9 8

N.S.

1 0.42 0.42 0.47 0.42 0.42 0.37 0.47 0.42

time (sec)

N/A 0.002 0.001 0.042 0.184 0.247 0.030 0.262 0.017

Problem 6010

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

26 0 26 46 71 31 27 45 0

N.S.

1 0.00 1.00 1.77 2.73 1.19 1.04 1.73 0.00

time (sec)

N/A 0.000 0.400 5.492 0.362 0.242 0.179 0.864 0.000

Problem 6011

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A B A F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

22 19 19 15 14 41 15 0 14

N.S.

1 0.86 0.86 0.68 0.64 1.86 0.68 0.00 0.64

time (sec)

N/A 0.026 0.045 0.117 0.196 0.257 0.259 0.000 0.163

Problem 6012

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

33 24 24 21 162 20 20 68 20

N.S.

1 0.73 0.73 0.64 4.91 0.61 0.61 2.06 0.61

time (sec)

N/A 0.202 0.060 0.545 0.310 0.242 0.128 0.286 11.862

Problem 6013

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 19 10 18 8 10 12

N.S.

1 1.00 1.00 1.58 0.83 1.50 0.67 0.83 1.00

time (sec)

N/A 0.131 0.068 1.777 0.238 0.247 0.092 0.270 11.955

Problem 6014

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 139 28 122 576 127 153 126 0

N.S.

1 6.04 1.22 5.30 25.04 5.52 6.65 5.48 0.00

time (sec)

N/A 17.041 0.795 2.600 0.371 0.275 0.715 0.290 0.000

Problem 6015

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

19 33 19 18 231 17 15 17 19

N.S.

1 1.74 1.00 0.95 12.16 0.89 0.79 0.89 1.00

time (sec)

N/A 0.030 0.802 0.167 0.269 0.255 0.066 0.291 11.834

Problem 6016

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 14 14 15 25 14 12 14 11

N.S.

1 0.61 0.61 0.65 1.09 0.61 0.52 0.61 0.48

time (sec)

N/A 0.005 0.003 0.056 0.195 0.246 0.046 0.272 11.403

Problem 6017

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 24 52 27 36 0 0 0

N.S.

1 0.00 1.00 2.17 1.12 1.50 0.00 0.00 0.00

time (sec)

N/A 0.000 0.160 0.614 0.636 0.243 0.000 0.000 0.000

Problem 6018

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 49 47 35 34 34 37 36 36

N.S.

1 1.63 1.57 1.17 1.13 1.13 1.23 1.20 1.20

time (sec)

N/A 0.057 0.066 0.085 0.182 0.246 0.125 0.282 0.105

Problem 6019

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 38 53 23 45 29 32 29 29

N.S.

1 1.81 2.52 1.10 2.14 1.38 1.52 1.38 1.38

time (sec)

N/A 2.371 9.287 0.129 0.290 0.263 0.096 0.312 12.018

Problem 6020

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 20 20 25 22 22 19 26

N.S.

1 0.00 1.05 1.05 1.32 1.16 1.16 1.00 1.37

time (sec)

N/A 0.000 0.455 0.211 0.356 0.248 0.145 0.305 12.089

Problem 6021

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 37 17 33 31 31 31 31 13

N.S.

1 2.31 1.06 2.06 1.94 1.94 1.94 1.94 0.81

time (sec)

N/A 0.036 0.166 0.145 0.190 0.255 0.066 0.286 0.148

Problem 6022

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 22 27 54 52 53 53 0

N.S.

1 0.00 0.71 0.87 1.74 1.68 1.71 1.71 0.00

time (sec)

N/A 0.000 0.381 0.387 0.339 0.269 0.163 0.342 0.000

Problem 6023

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 35 36 34 34 30 34 36 34

N.S.

1 1.35 1.38 1.31 1.31 1.15 1.31 1.38 1.31

time (sec)

N/A 0.009 0.012 0.083 0.197 0.251 0.061 0.286 0.062

Problem 6024

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 22 20 19 22 19 22 28

N.S.

1 0.00 0.96 0.87 0.83 0.96 0.83 0.96 1.22

time (sec)

N/A 0.000 0.126 0.366 0.247 0.263 0.211 0.336 13.268

Problem 6025

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

20 0 20 20 22 34 0 36 19

N.S.

1 0.00 1.00 1.00 1.10 1.70 0.00 1.80 0.95

time (sec)

N/A 0.000 0.351 11.850 0.259 0.266 0.000 0.318 13.089

Problem 6026

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 25 25 21 20 20 22 25 20

N.S.

1 1.25 1.25 1.05 1.00 1.00 1.10 1.25 1.00

time (sec)

N/A 0.060 0.050 0.096 0.220 0.250 0.141 0.293 12.705

Problem 6027

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

32 134 24 22 20 26 26 37 21

N.S.

1 4.19 0.75 0.69 0.62 0.81 0.81 1.16 0.66

time (sec)

N/A 0.184 0.049 1.183 0.316 0.258 0.052 0.291 11.961

Problem 6028

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

31 0 31 30 91 32 32 0 32

N.S.

1 0.00 1.00 0.97 2.94 1.03 1.03 0.00 1.03

time (sec)

N/A 0.000 0.166 133.609 0.503 0.250 1.468 0.000 12.362

Problem 6029

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

31 0 27 26 39 32 22 41 28

N.S.

1 0.00 0.87 0.84 1.26 1.03 0.71 1.32 0.90

time (sec)

N/A 0.000 0.428 3.086 0.240 0.252 0.144 0.271 12.140

Problem 6030

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

21 0 28 27 25 24 26 24 24

N.S.

1 0.00 1.33 1.29 1.19 1.14 1.24 1.14 1.14

time (sec)

N/A 0.000 0.067 1.722 0.415 0.243 0.956 0.459 13.686

Problem 6031

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

22 0 22 35 20 34 32 19 121

N.S.

1 0.00 1.00 1.59 0.91 1.55 1.45 0.86 5.50

time (sec)

N/A 0.000 0.419 55.741 0.428 0.251 0.870 1.641 12.027

Problem 6032

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 24 24 21 20 20 22 20 22

N.S.

1 0.86 0.86 0.75 0.71 0.71 0.79 0.71 0.79

time (sec)

N/A 0.152 1.732 0.231 0.240 0.245 0.114 0.302 11.729

Problem 6033

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 17 13 13 16 16 15 16 18

N.S.

1 1.13 0.87 0.87 1.07 1.07 1.00 1.07 1.20

time (sec)

N/A 0.027 0.062 0.081 0.194 0.255 0.058 0.286 11.437

Problem 6034

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 34 27 24 22 22 26 22 19

N.S.

1 1.31 1.04 0.92 0.85 0.85 1.00 0.85 0.73

time (sec)

N/A 0.044 0.013 0.068 0.192 0.252 0.152 0.274 0.090

Problem 6035

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

25 0 53 49 48 48 0 0 0

N.S.

1 0.00 2.12 1.96 1.92 1.92 0.00 0.00 0.00

time (sec)

N/A 0.000 0.121 0.255 0.227 0.248 0.000 0.000 0.000

Problem 6036

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

23 0 19 27 17 26 22 0 51

N.S.

1 0.00 0.83 1.17 0.74 1.13 0.96 0.00 2.22

time (sec)

N/A 0.000 0.622 0.884 1.411 0.235 0.163 0.000 11.054

Problem 6037

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 35 37 26 30 30 24 36 35

N.S.

1 1.30 1.37 0.96 1.11 1.11 0.89 1.33 1.30

time (sec)

N/A 0.240 0.213 0.490 0.224 0.241 0.253 0.282 11.276

Problem 6038

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A C A B C B B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

17 230 17 32 109 31 34 31 15

N.S.

1 13.53 1.00 1.88 6.41 1.82 2.00 1.82 0.88

time (sec)

N/A 0.341 0.029 0.181 0.244 0.242 0.063 0.280 10.802

Problem 6039

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

23 24 20 35 28 31 0 0 32

N.S.

1 1.04 0.87 1.52 1.22 1.35 0.00 0.00 1.39

time (sec)

N/A 0.751 0.134 14.129 0.317 0.259 0.000 0.000 11.325

Problem 6040

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 52 52 36 52 37 36 37 47

N.S.

1 1.53 1.53 1.06 1.53 1.09 1.06 1.09 1.38

time (sec)

N/A 3.378 0.131 0.856 0.250 0.257 0.194 0.334 10.884

Problem 6041

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 25 26 30 23 19 23 25

N.S.

1 0.00 0.96 1.00 1.15 0.88 0.73 0.88 0.96

time (sec)

N/A 0.000 0.059 0.205 0.309 0.250 0.121 0.283 10.660

Problem 6042

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 61 59 0 0 159 0 0 91

N.S.

1 2.10 2.03 0.00 0.00 5.48 0.00 0.00 3.14

time (sec)

N/A 1.694 0.169 0.000 0.000 0.256 0.000 0.000 11.808

Problem 6043

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 22 31 17 16 16 15 18 20

N.S.

1 0.88 1.24 0.68 0.64 0.64 0.60 0.72 0.80

time (sec)

N/A 0.031 0.015 1.233 0.189 0.260 0.186 0.296 0.106

Problem 6044

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 21 19 20 19 22 14 19 18

N.S.

1 1.05 0.95 1.00 0.95 1.10 0.70 0.95 0.90

time (sec)

N/A 0.012 0.013 0.580 0.194 0.240 0.067 0.279 10.547

Problem 6045

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

25 0 22 20 25 27 22 37 800

N.S.

1 0.00 0.88 0.80 1.00 1.08 0.88 1.48 32.00

time (sec)

N/A 0.000 0.972 1.593 0.312 0.251 0.071 0.302 11.155

Problem 6046

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

14 0 12 12 11 11 8 11 12

N.S.

1 0.00 0.86 0.86 0.79 0.79 0.57 0.79 0.86

time (sec)

N/A 0.000 0.056 0.598 0.215 0.267 0.049 0.288 10.695

Problem 6047

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 24 24 18 17 28 17 17 17

N.S.

1 0.89 0.89 0.67 0.63 1.04 0.63 0.63 0.63

time (sec)

N/A 0.010 0.017 0.384 0.194 0.254 0.066 0.274 0.071

Problem 6048

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

27 0 13 9 8 8 10 0 8

N.S.

1 0.00 0.48 0.33 0.30 0.30 0.37 0.00 0.30

time (sec)

N/A 0.000 0.130 0.082 0.250 0.248 0.178 0.000 10.950

Problem 6049

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 34 27 23 26 27 32 26

N.S.

1 1.00 1.70 1.35 1.15 1.30 1.35 1.60 1.30

time (sec)

N/A 0.106 0.072 0.436 0.287 0.254 0.139 0.295 12.114

Problem 6050

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 24 31 63 44 42 0 90

N.S.

1 0.00 1.00 1.29 2.62 1.83 1.75 0.00 3.75

time (sec)

N/A 0.000 0.145 3.093 0.444 0.251 0.268 0.000 11.285

Problem 6051

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A C A A B B B

verified

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

size

31 0 58 179 32 38 58 178 54

N.S.

1 0.00 1.87 5.77 1.03 1.23 1.87 5.74 1.74

time (sec)

N/A 0.000 0.948 26.056 0.388 0.263 0.556 2.407 11.137

Problem 6052

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 29 29 25 52 45 22 48 24

N.S.

1 0.85 0.85 0.74 1.53 1.32 0.65 1.41 0.71

time (sec)

N/A 0.115 0.111 0.491 0.252 0.254 0.118 0.287 10.918

Problem 6053

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 28 28 29 28 31 24 30 26

N.S.

1 1.17 1.17 1.21 1.17 1.29 1.00 1.25 1.08

time (sec)

N/A 0.141 0.016 0.101 0.191 0.246 0.072 0.280 11.071

Problem 6054

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 26 28 46 41 22 33 85

N.S.

1 0.00 0.96 1.04 1.70 1.52 0.81 1.22 3.15

time (sec)

N/A 0.000 0.316 1.647 0.303 0.260 0.085 0.290 11.777

Problem 6055

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

24 0 26 36 42 42 0 42 23

N.S.

1 0.00 1.08 1.50 1.75 1.75 0.00 1.75 0.96

time (sec)

N/A 0.000 5.157 0.048 0.257 0.257 0.000 0.319 12.037

Problem 6056

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 21 21 20 21 21 19 23 21

N.S.

1 0.91 0.91 0.87 0.91 0.91 0.83 1.00 0.91

time (sec)

N/A 0.034 0.012 0.128 0.191 0.221 0.052 0.270 0.112

Problem 6057

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

21 0 13 12 11 22 8 22 11

N.S.

1 0.00 0.62 0.57 0.52 1.05 0.38 1.05 0.52

time (sec)

N/A 0.000 0.081 0.153 0.249 0.246 0.081 0.281 10.770

Problem 6058

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

30 26 33 29 58 28 26 69 29

N.S.

1 0.87 1.10 0.97 1.93 0.93 0.87 2.30 0.97

time (sec)

N/A 2.215 0.837 7.075 0.334 0.263 0.328 0.347 11.371

Problem 6059

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 20 20 19 45 18 17 18 20

N.S.

1 0.80 0.80 0.76 1.80 0.72 0.68 0.72 0.80

time (sec)

N/A 0.053 0.049 0.741 0.319 0.261 0.076 0.275 12.072

Problem 6060

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 19 18 17 21 14 21 17

N.S.

1 0.00 0.73 0.69 0.65 0.81 0.54 0.81 0.65

time (sec)

N/A 0.000 1.256 0.260 0.216 0.248 0.066 0.283 0.151

Problem 6061

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 25 25 24 26 30 24

N.S.

1 0.00 1.00 1.25 1.25 1.20 1.30 1.50 1.20

time (sec)

N/A 0.000 0.429 33.027 0.325 0.249 2.345 0.337 12.444

Problem 6062

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

11 11 11 12 11 11 8 11 10

N.S.

1 1.00 1.00 1.09 1.00 1.00 0.73 1.00 0.91

time (sec)

N/A 0.025 0.008 0.075 0.210 0.268 0.106 0.286 11.704

Problem 6063

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B B B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

26 26 62 122 51 63 61 0 55

N.S.

1 1.00 2.38 4.69 1.96 2.42 2.35 0.00 2.12

time (sec)

N/A 0.560 0.171 90.924 0.268 0.266 11.449 0.000 11.813

Problem 6064

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

22 0 27 26 23 25 15 19 21

N.S.

1 0.00 1.23 1.18 1.05 1.14 0.68 0.86 0.95

time (sec)

N/A 0.000 0.432 0.271 0.212 0.263 0.096 0.303 11.158

Problem 6065

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B B B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

33 89 35 70 80 59 63 0 58

N.S.

1 2.70 1.06 2.12 2.42 1.79 1.91 0.00 1.76

time (sec)

N/A 0.154 0.263 4.947 0.194 0.250 6.889 0.000 11.318

Problem 6066

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

33 0 0 54 105 103 46 48 0

N.S.

1 0.00 0.00 1.64 3.18 3.12 1.39 1.45 0.00

time (sec)

N/A 0.000 0.000 1.277 0.332 0.260 0.161 0.582 0.000

Problem 6067

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 18 18 21 21 20 19 21 20

N.S.

1 1.00 1.00 1.17 1.17 1.11 1.06 1.17 1.11

time (sec)

N/A 0.839 0.232 0.713 0.224 0.257 0.136 0.295 13.329

Problem 6068

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

27 29 29 31 189 29 26 29 26

N.S.

1 1.07 1.07 1.15 7.00 1.07 0.96 1.07 0.96

time (sec)

N/A 0.031 0.404 0.094 0.320 0.263 0.080 0.282 0.129

Problem 6069

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

30 0 52 37 0 40 44 39 39

N.S.

1 0.00 1.73 1.23 0.00 1.33 1.47 1.30 1.30

time (sec)

N/A 0.000 0.556 0.171 0.000 0.253 0.306 0.328 12.249

Problem 6070

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 23 23 22 21 21 20 21 17

N.S.

1 1.28 1.28 1.22 1.17 1.17 1.11 1.17 0.94

time (sec)

N/A 0.011 0.020 0.147 0.184 0.266 0.110 0.276 11.821

Problem 6071

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

24 26 24 23 25 29 22 35 0

N.S.

1 1.08 1.00 0.96 1.04 1.21 0.92 1.46 0.00

time (sec)

N/A 0.427 0.244 0.184 0.238 0.261 0.145 0.290 0.000

Problem 6072

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

33 27 30 27 66 27 24 27 25

N.S.

1 0.82 0.91 0.82 2.00 0.82 0.73 0.82 0.76

time (sec)

N/A 0.224 0.088 0.627 0.216 0.240 0.118 0.287 0.210

Problem 6073

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 49 44 45 38 42 0 42

N.S.

1 0.00 1.63 1.47 1.50 1.27 1.40 0.00 1.40

time (sec)

N/A 0.000 0.266 0.173 0.221 0.257 0.166 0.000 12.172

Problem 6074

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 23 22 21 21 22 19 20 21

N.S.

1 1.05 1.00 0.95 0.95 1.00 0.86 0.91 0.95

time (sec)

N/A 0.009 0.006 0.085 0.192 0.250 0.052 0.289 0.057

Problem 6075

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

29 0 242 243 352 352 170 242 0

N.S.

1 0.00 8.34 8.38 12.14 12.14 5.86 8.34 0.00

time (sec)

N/A 0.000 0.767 7.596 0.861 0.308 2.030 7.179 0.000

Problem 6076

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 15 15 12 11 12 8 11 12

N.S.

1 0.79 0.79 0.63 0.58 0.63 0.42 0.58 0.63

time (sec)

N/A 0.003 0.002 0.016 0.179 0.257 0.034 0.270 0.025

Problem 6077

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

21 0 18 17 16 26 15 16 16

N.S.

1 0.00 0.86 0.81 0.76 1.24 0.71 0.76 0.76

time (sec)

N/A 0.000 0.131 0.061 0.235 0.250 0.095 0.275 11.563

Problem 6078

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 8 8 9 8 8 7 8 8

N.S.

1 1.00 1.00 1.12 1.00 1.00 0.88 1.00 1.00

time (sec)

N/A 0.001 0.000 0.078 0.173 0.250 0.023 0.311 0.036

Problem 6079

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

30 0 30 30 0 30 0 0 48

N.S.

1 0.00 1.00 1.00 0.00 1.00 0.00 0.00 1.60

time (sec)

N/A 0.000 0.281 196.254 0.000 0.266 0.000 0.000 0.386

Problem 6080

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A B B B B B B

verified

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

size

27 0 49 64 75 75 60 76 68

N.S.

1 0.00 1.81 2.37 2.78 2.78 2.22 2.81 2.52

time (sec)

N/A 0.000 0.060 11.361 0.215 0.250 0.087 0.339 11.950

Problem 6081

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A B A B B A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

21 63 20 41 40 36 42 36 18

N.S.

1 3.00 0.95 1.95 1.90 1.71 2.00 1.71 0.86

time (sec)

N/A 0.050 0.184 0.219 0.187 0.247 0.084 0.289 0.149

Problem 6082

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

21 35 31 29 28 28 27 28 26

N.S.

1 1.67 1.48 1.38 1.33 1.33 1.29 1.33 1.24

time (sec)

N/A 0.027 0.075 0.050 0.178 0.236 0.059 0.315 11.103

Problem 6083

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

38 0 41 44 48 40 37 88 0

N.S.

1 0.00 1.08 1.16 1.26 1.05 0.97 2.32 0.00

time (sec)

N/A 0.000 0.293 95.365 1.058 0.255 3.358 1.414 0.000

Problem 6084

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

25 27 26 24 63 65 73 66 118

N.S.

1 1.08 1.04 0.96 2.52 2.60 2.92 2.64 4.72

time (sec)

N/A 0.191 0.071 0.738 0.310 0.274 0.167 0.349 7.729

Problem 6085

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 22 21 20 18 18 15 19 19

N.S.

1 1.00 0.95 0.91 0.82 0.82 0.68 0.86 0.86

time (sec)

N/A 0.016 0.018 0.438 0.177 0.246 0.095 0.259 0.084

Problem 6086

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

36 60 63 35 42 42 34 124 57

N.S.

1 1.67 1.75 0.97 1.17 1.17 0.94 3.44 1.58

time (sec)

N/A 1.250 0.252 1.388 0.225 0.252 0.291 0.286 0.432

Problem 6087

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A B A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

16 23 58 24 29 30 27 29 29

N.S.

1 1.44 3.62 1.50 1.81 1.88 1.69 1.81 1.81

time (sec)

N/A 0.009 0.000 0.008 0.182 0.228 0.022 0.267 0.003

Problem 6088

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 37 37 30 31 33 27 28 23

N.S.

1 1.37 1.37 1.11 1.15 1.22 1.00 1.04 0.85

time (sec)

N/A 0.036 0.012 0.080 0.187 0.242 0.074 0.276 12.847

Problem 6089

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 40 23 20 20 20 26 0 19

N.S.

1 1.74 1.00 0.87 0.87 0.87 1.13 0.00 0.83

time (sec)

N/A 0.049 0.084 4.789 0.317 0.249 0.938 0.000 12.604

Problem 6090

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

30 0 40 34 38 41 39 43 55

N.S.

1 0.00 1.33 1.13 1.27 1.37 1.30 1.43 1.83

time (sec)

N/A 0.000 0.125 1.365 0.247 0.257 0.158 0.306 13.673

Problem 6091

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

32 0 41 51 48 37 37 47 42

N.S.

1 0.00 1.28 1.59 1.50 1.16 1.16 1.47 1.31

time (sec)

N/A 0.000 0.108 12.876 0.214 0.247 0.422 0.387 13.432

Problem 6092

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

17 0 15 14 13 13 10 13 13

N.S.

1 0.00 0.88 0.82 0.76 0.76 0.59 0.76 0.76

time (sec)

N/A 0.000 0.252 0.113 0.210 0.262 0.062 0.270 13.226

Problem 6093

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

17 19 19 17 18 18 141 18 18

N.S.

1 1.12 1.12 1.00 1.06 1.06 8.29 1.06 1.06

time (sec)

N/A 0.165 0.232 0.446 0.213 0.251 0.204 0.263 11.504

Problem 6094

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 19 24 18 18 20 15 18 17

N.S.

1 0.70 0.89 0.67 0.67 0.74 0.56 0.67 0.63

time (sec)

N/A 0.017 0.010 0.062 0.178 0.231 0.059 0.304 0.055

Problem 6095

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A F A A A B A B B

verified

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

size

31 0 35 29 40 71 31 936 87

N.S.

1 0.00 1.13 0.94 1.29 2.29 1.00 30.19 2.81

time (sec)

N/A 0.000 0.235 0.493 0.226 0.270 0.155 0.310 11.263

Problem 6096

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 34 46 25 42 28 29 28 95

N.S.

1 1.06 1.44 0.78 1.31 0.88 0.91 0.88 2.97

time (sec)

N/A 2.545 3.590 0.658 0.270 0.257 0.139 0.467 11.888

Problem 6097

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 18 22 16 18 18 32 18 15

N.S.

1 0.82 1.00 0.73 0.82 0.82 1.45 0.82 0.68

time (sec)

N/A 0.003 0.003 0.050 0.171 0.247 0.027 0.277 11.870

Problem 6098

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

16 9 9 10 9 9 10 9 10

N.S.

1 0.56 0.56 0.62 0.56 0.56 0.62 0.56 0.62

time (sec)

N/A 0.003 0.001 0.059 0.175 0.258 0.024 0.262 0.039

Problem 6099

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

33 11592 14593 128 39766 124 139 497 127

N.S.

1 351.27 442.21 3.88 1205.03 3.76 4.21 15.06 3.85

time (sec)

N/A 19.804 41.564 1.218 0.716 0.266 0.248 1.234 11.944

Problem 6100

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 18 18 18 61 17 15 17 18

N.S.

1 0.75 0.75 0.75 2.54 0.71 0.62 0.71 0.75

time (sec)

N/A 0.082 0.036 0.079 0.301 0.262 0.054 0.279 0.101

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