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2.2.1 Integrals 1 to 70

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 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A A B B A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 38 20 19 30 37 15 12

N.S.

1 1.00 3.17 1.67 1.58 2.50 3.08 1.25 1.00

time (sec)

N/A 0.003 0.018 0.019 0.297 2.578 1.024 0.475 0.401

Problem 2

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 11 12 13 19 0 13 11

N.S.

1 1.00 1.00 1.09 1.18 1.73 0.00 1.18 1.00

time (sec)

N/A 0.007 0.015 0.032 0.278 3.027 0.000 0.453 0.104

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A A B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

34 34 75 38 46 72 0 92 36

N.S.

1 1.00 2.21 1.12 1.35 2.12 0.00 2.71 1.06

time (sec)

N/A 0.010 0.019 0.067 0.292 3.348 0.000 0.435 0.114

Problem 4

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 35 23 25 45 0 25 21

N.S.

1 1.00 1.30 0.85 0.93 1.67 0.00 0.93 0.78

time (sec)

N/A 0.009 0.016 0.043 0.279 2.889 0.000 0.433 0.080

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B A A B F B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

55 55 113 50 71 112 0 138 59

N.S.

1 1.00 2.05 0.91 1.29 2.04 0.00 2.51 1.07

time (sec)

N/A 0.019 0.021 0.072 0.287 4.424 0.000 0.445 0.128

Problem 6

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

42 42 56 33 35 64 0 35 38

N.S.

1 1.00 1.33 0.79 0.83 1.52 0.00 0.83 0.90

time (sec)

N/A 0.011 0.020 0.052 0.294 2.922 0.000 0.439 0.096

Problem 7

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

76 76 151 60 91 155 0 182 78

N.S.

1 1.00 1.99 0.79 1.20 2.04 0.00 2.39 1.03

time (sec)

N/A 0.030 0.019 0.088 0.330 3.652 0.000 0.479 0.155

Problem 8

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

55 55 77 43 45 87 0 45 41

N.S.

1 1.00 1.40 0.78 0.82 1.58 0.00 0.82 0.75

time (sec)

N/A 0.013 0.016 0.053 0.329 3.179 0.000 0.455 0.127

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F(-2) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

90 90 63 160 0 120 0 0 -1

N.S.

1 1.00 0.70 1.78 0.00 1.33 0.00 0.00 -0.01

time (sec)

N/A 0.027 0.207 0.136 0.000 0.764 0.000 0.000 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 50 88 0 88 0 0 -1

N.S.

1 1.00 0.75 1.31 0.00 1.31 0.00 0.00 -0.01

time (sec)

N/A 0.021 0.092 0.094 0.000 0.723 0.000 0.000 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

63 63 49 132 0 72 0 0 -1

N.S.

1 1.00 0.78 2.10 0.00 1.14 0.00 0.00 -0.02

time (sec)

N/A 0.022 0.064 0.106 0.000 0.371 0.000 0.000 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

41 41 40 69 0 51 0 0 61

N.S.

1 1.00 0.98 1.68 0.00 1.24 0.00 0.00 1.49

time (sec)

N/A 0.013 0.041 0.099 0.000 0.752 0.000 0.000 0.121

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

41 41 40 91 0 55 0 0 -1

N.S.

1 1.00 0.98 2.22 0.00 1.34 0.00 0.00 -0.02

time (sec)

N/A 0.012 0.044 0.135 0.000 1.205 0.000 0.000 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 53 88 0 68 0 0 -1

N.S.

1 1.00 0.79 1.31 0.00 1.01 0.00 0.00 -0.01

time (sec)

N/A 0.023 0.066 0.122 0.000 0.440 0.000 0.000 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

67 67 60 142 0 85 0 0 -1

N.S.

1 1.00 0.90 2.12 0.00 1.27 0.00 0.00 -0.01

time (sec)

N/A 0.020 0.112 0.108 0.000 0.654 0.000 0.000 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

90 90 65 104 0 81 0 0 -1

N.S.

1 1.00 0.72 1.16 0.00 0.90 0.00 0.00 -0.01

time (sec)

N/A 0.029 0.170 0.112 0.000 0.776 0.000 0.000 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F(-2) F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

103 103 67 1052 0 150 0 0 -1

N.S.

1 1.00 0.65 10.21 0.00 1.46 0.00 0.00 -0.01

time (sec)

N/A 0.041 0.206 1.236 0.000 0.834 0.000 0.000 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

75 75 55 313 0 105 0 0 -1

N.S.

1 1.00 0.73 4.17 0.00 1.40 0.00 0.00 -0.01

time (sec)

N/A 0.024 0.192 1.131 0.000 0.670 0.000 0.000 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

71 71 54 508 0 83 0 0 -1

N.S.

1 1.00 0.76 7.15 0.00 1.17 0.00 0.00 -0.01

time (sec)

N/A 0.028 0.128 1.191 0.000 0.884 0.000 0.000 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 42 165 0 55 0 0 63

N.S.

1 1.00 0.98 3.84 0.00 1.28 0.00 0.00 1.47

time (sec)

N/A 0.015 0.035 1.101 0.000 0.648 0.000 0.000 0.199

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 42 533 0 62 0 0 -1

N.S.

1 1.00 0.98 12.40 0.00 1.44 0.00 0.00 -0.02

time (sec)

N/A 0.015 0.039 1.214 0.000 0.898 0.000 0.000 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

77 77 63 189 0 85 0 0 -1

N.S.

1 1.00 0.82 2.45 0.00 1.10 0.00 0.00 -0.01

time (sec)

N/A 0.025 0.089 1.131 0.000 0.802 0.000 0.000 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

77 77 60 547 0 96 0 0 -1

N.S.

1 1.00 0.78 7.10 0.00 1.25 0.00 0.00 -0.01

time (sec)

N/A 0.024 0.158 1.118 0.000 0.335 0.000 0.000 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

105 105 70 213 0 98 0 0 -1

N.S.

1 1.00 0.67 2.03 0.00 0.93 0.00 0.00 -0.01

time (sec)

N/A 0.038 0.145 1.350 0.000 1.174 0.000 0.000 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 54 0 0 0 0 0 -1

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.018 0.084 0.036 0.000 0.000 0.000 0.000 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

51 51 51 0 0 0 0 0 -1

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.018 0.062 0.029 0.000 0.000 0.000 0.000 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 51 0 0 0 0 0 -1

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.017 0.063 0.030 0.000 0.000 0.000 0.000 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 51 0 0 0 0 0 -1

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.017 0.057 0.028 0.000 0.000 0.000 0.000 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 51 0 0 0 0 0 -1

N.S.

1 1.00 0.96 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.017 0.056 0.029 0.000 0.000 0.000 0.000 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

53 53 68 0 0 0 0 0 -1

N.S.

1 1.00 1.28 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.018 0.128 0.028 0.000 0.000 0.000 0.000 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

54 54 57 0 0 0 0 0 -1

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.021 0.055 0.031 0.000 0.000 0.000 0.000 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

54 54 59 0 0 0 0 0 -1

N.S.

1 1.00 1.09 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.021 0.074 0.032 0.000 0.000 0.000 0.000 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 59 0 0 0 0 0 -1

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.020 0.072 0.033 0.000 0.000 0.000 0.000 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 59 0 0 0 0 0 -1

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.021 0.075 0.025 0.000 0.000 0.000 0.000 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 59 0 0 0 0 0 -1

N.S.

1 1.00 1.05 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.021 0.072 0.026 0.000 0.000 0.000 0.000 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

56 56 76 0 0 0 0 0 -1

N.S.

1 1.00 1.36 0.00 0.00 0.00 0.00 0.00 -0.02

time (sec)

N/A 0.022 0.168 0.028 0.000 0.000 0.000 0.000 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

69 69 59 0 0 0 0 0 -1

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.029 0.104 0.039 0.000 0.000 0.000 0.000 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

72 72 65 0 0 0 0 0 -1

N.S.

1 1.00 0.90 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.027 0.085 0.037 0.000 0.000 0.000 0.000 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 92 101 1669 93 0 129 -1

N.S.

1 1.00 1.84 2.02 33.38 1.86 0.00 2.58 -0.02

time (sec)

N/A 0.013 0.271 0.126 0.609 4.046 0.000 0.470 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B B B F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 72 78 869 69 0 100 -1

N.S.

1 1.00 2.00 2.17 24.14 1.92 0.00 2.78 -0.03

time (sec)

N/A 0.010 0.280 0.096 0.561 3.701 0.000 0.457 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B B F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

22 22 51 52 300 44 0 69 -1

N.S.

1 1.00 2.32 2.36 13.64 2.00 0.00 3.14 -0.05

time (sec)

N/A 0.008 0.104 0.084 0.558 3.217 0.000 0.444 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A B B B B F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

5 5 28 31 35 19 0 12 -1

N.S.

1 1.00 5.60 6.20 7.00 3.80 0.00 2.40 -0.20

time (sec)

N/A 0.005 0.016 0.083 0.536 3.571 0.000 0.465 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A A B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

12 12 12 26 10 4 12 11 12

N.S.

1 1.00 1.00 2.17 0.83 0.33 1.00 0.92 1.00

time (sec)

N/A 0.007 0.010 0.076 0.498 3.831 0.162 0.436 0.170

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

29 29 23 30 11 11 29 44 -1

N.S.

1 1.00 0.79 1.03 0.38 0.38 1.00 1.52 -0.03

time (sec)

N/A 0.008 0.020 0.076 0.543 2.862 0.303 0.447 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

43 43 31 38 17 17 46 61 -1

N.S.

1 1.00 0.72 0.88 0.40 0.40 1.07 1.42 -0.02

time (sec)

N/A 0.012 0.031 0.082 0.539 3.685 1.510 0.429 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

57 57 37 44 23 21 61 78 -1

N.S.

1 1.00 0.65 0.77 0.40 0.37 1.07 1.37 -0.02

time (sec)

N/A 0.014 0.046 0.083 0.559 4.683 11.922 0.466 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

84 84 61 102 2183 106 0 164 -1

N.S.

1 1.00 0.73 1.21 25.99 1.26 0.00 1.95 -0.01

time (sec)

N/A 0.029 0.363 0.122 4.488 4.076 0.000 0.503 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

65 65 51 79 1113 80 0 124 -1

N.S.

1 1.00 0.78 1.22 17.12 1.23 0.00 1.91 -0.02

time (sec)

N/A 0.024 0.240 0.098 0.858 4.014 0.000 0.443 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A B A F B F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

46 46 39 53 318 49 0 72 -1

N.S.

1 1.00 0.85 1.15 6.91 1.07 0.00 1.57 -0.02

time (sec)

N/A 0.017 0.082 0.087 0.543 3.422 0.000 0.430 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

26 26 30 32 24 64 0 13 -1

N.S.

1 1.00 1.15 1.23 0.92 2.46 0.00 0.50 -0.04

time (sec)

N/A 0.012 0.020 0.086 0.558 2.565 0.000 0.414 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A B A A A B B

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

14 14 14 27 13 22 14 34 15

N.S.

1 1.00 1.00 1.93 0.93 1.57 1.00 2.43 1.07

time (sec)

N/A 0.010 0.009 0.076 0.514 2.807 0.204 0.463 0.220

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 27 31 0 29 32 52 -1

N.S.

1 1.00 0.75 0.86 0.00 0.81 0.89 1.44 -0.03

time (sec)

N/A 0.013 0.021 0.083 0.000 2.422 0.342 0.433 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

55 55 36 39 0 37 51 62 -1

N.S.

1 1.00 0.65 0.71 0.00 0.67 0.93 1.13 -0.02

time (sec)

N/A 0.020 0.034 0.080 0.000 2.624 1.604 0.426 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A F A A A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

74 74 42 45 0 43 68 76 -1

N.S.

1 1.00 0.57 0.61 0.00 0.58 0.92 1.03 -0.01

time (sec)

N/A 0.026 0.052 0.086 0.000 3.159 11.730 0.418 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

123 123 58 1313 0 161 0 0 -1

N.S.

1 1.00 0.47 10.67 0.00 1.31 0.00 0.00 -0.01

time (sec)

N/A 0.043 0.211 0.228 0.000 0.810 0.000 0.000 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

71 71 46 372 0 99 0 0 -1

N.S.

1 1.00 0.65 5.24 0.00 1.39 0.00 0.00 -0.01

time (sec)

N/A 0.029 0.126 0.188 0.000 1.102 0.000 0.000 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

48 48 46 343 0 64 0 0 -1

N.S.

1 1.00 0.96 7.15 0.00 1.33 0.00 0.00 -0.02

time (sec)

N/A 0.021 0.047 0.155 0.000 0.383 0.000 0.000 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

50 50 38 125 0 68 0 0 -1

N.S.

1 1.00 0.76 2.50 0.00 1.36 0.00 0.00 -0.02

time (sec)

N/A 0.022 0.056 0.164 0.000 0.876 0.000 0.000 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

79 79 52 349 0 84 0 0 -1

N.S.

1 1.00 0.66 4.42 0.00 1.06 0.00 0.00 -0.01

time (sec)

N/A 0.028 0.107 0.174 0.000 0.595 0.000 0.000 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A C F C F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

123 123 63 158 0 88 0 0 -1

N.S.

1 1.00 0.51 1.28 0.00 0.72 0.00 0.00 -0.01

time (sec)

N/A 0.043 0.162 0.182 0.000 1.192 0.000 0.000 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

164 164 59 53 66 118 0 69 603

N.S.

1 1.00 0.36 0.32 0.40 0.72 0.00 0.42 3.68

time (sec)

N/A 0.026 0.076 0.241 0.472 3.850 0.000 0.473 5.052

Problem 62

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

118 118 47 41 48 88 0 51 121

N.S.

1 1.00 0.40 0.35 0.41 0.75 0.00 0.43 1.03

time (sec)

N/A 0.023 0.048 0.150 0.486 2.630 0.000 0.572 2.419

Problem 63

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

62 62 33 29 30 52 0 23 44

N.S.

1 1.00 0.53 0.47 0.48 0.84 0.00 0.37 0.71

time (sec)

N/A 0.015 0.023 0.104 0.482 2.461 0.000 0.474 0.674

Problem 64

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

16 16 16 18 9 24 0 9 7

N.S.

1 1.00 1.00 1.12 0.56 1.50 0.00 0.56 0.44

time (sec)

N/A 0.010 0.008 0.094 0.479 3.004 0.000 0.435 0.178

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

36 36 25 24 25 46 0 22 -1

N.S.

1 1.00 0.69 0.67 0.69 1.28 0.00 0.61 -0.03

time (sec)

N/A 0.011 0.030 0.089 0.492 2.002 0.000 0.437 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

86 86 38 41 58 61 0 42 -1

N.S.

1 1.00 0.44 0.48 0.67 0.71 0.00 0.49 -0.01

time (sec)

N/A 0.024 0.050 0.127 0.497 2.449 0.000 0.443 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A A A A F A F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

132 132 55 57 88 73 0 49 -1

N.S.

1 1.00 0.42 0.43 0.67 0.55 0.00 0.37 -0.01

time (sec)

N/A 0.033 0.110 0.236 0.491 3.123 0.000 0.443 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

80 80 71 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.041 0.128 0.079 0.000 0.000 0.000 0.000 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

82 82 73 0 0 0 0 0 -1

N.S.

1 1.00 0.89 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.039 0.089 0.046 0.000 0.000 0.000 0.000 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

A A A F F F F F F

verified

N/A Yes Yes TBD TBD TBD TBD TBD TBD

size

91 91 77 0 0 0 0 0 -1

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 -0.01

time (sec)

N/A 0.035 0.156 0.063 0.000 0.000 0.000 0.000 0.000

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