Integrals 1 to 100

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 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

33 34 33 28 27 27 29 29 25 28

N.S.

1 1.03 1.00 0.85 0.82 0.82 0.88 0.88 0.76 0.85

time (sec)

N/A 0.291 0.010 0.398 0.036 0.072 0.018 0.118 0.204 0.044

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

29 32 29 27 28 25 27 28 22 26

N.S.

1 1.10 1.00 0.93 0.97 0.86 0.93 0.97 0.76 0.90

time (sec)

N/A 0.286 0.012 0.334 0.027 0.075 0.054 0.117 0.245 0.038

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

29 30 29 26 28 30 26 40 27 25

N.S.

1 1.03 1.00 0.90 0.97 1.03 0.90 1.38 0.93 0.86

time (sec)

N/A 0.294 0.013 0.096 0.032 0.088 0.112 0.122 0.202 0.756

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

29 33 31 26 30 31 29 37 28 29

N.S.

1 1.14 1.07 0.90 1.03 1.07 1.00 1.28 0.97 1.00

time (sec)

N/A 0.300 0.020 0.072 0.033 0.087 0.285 0.116 0.230 0.722

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

33 33 33 28 27 27 29 29 26 28

N.S.

1 1.00 1.00 0.85 0.82 0.82 0.88 0.88 0.79 0.85

time (sec)

N/A 0.290 0.007 0.424 0.026 0.093 0.021 0.120 0.248 0.771

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

28 28 28 25 24 24 26 26 24 25

N.S.

1 1.00 1.00 0.89 0.86 0.86 0.93 0.93 0.86 0.89

time (sec)

N/A 0.286 0.006 0.418 0.031 0.071 0.019 0.123 0.231 0.038

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

31 31 31 30 27 29 26 29 25 28

N.S.

1 1.00 1.00 0.97 0.87 0.94 0.84 0.94 0.81 0.90

time (sec)

N/A 0.293 0.012 0.093 0.032 0.106 0.052 0.121 0.211 0.049

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

28 28 28 24 24 28 24 23 25 24

N.S.

1 1.00 1.00 0.86 0.86 1.00 0.86 0.82 0.89 0.86

time (sec)

N/A 0.290 0.011 0.095 0.031 0.066 0.057 0.121 0.238 0.806

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

31 31 32 28 29 29 31 31 26 29

N.S.

1 1.00 1.03 0.90 0.94 0.94 1.00 1.00 0.84 0.94

time (sec)

N/A 0.293 0.012 0.096 0.039 0.092 0.147 0.122 0.231 0.040

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

28 28 30 25 27 29 29 29 26 28

N.S.

1 1.00 1.07 0.89 0.96 1.04 1.04 1.04 0.93 1.00

time (sec)

N/A 0.286 0.014 0.096 0.027 0.074 0.151 0.121 0.230 0.039

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

42 46 51 52 51 51 54 53 36 51

N.S.

1 1.10 1.21 1.24 1.21 1.21 1.29 1.26 0.86 1.21

time (sec)

N/A 0.345 0.018 0.753 0.031 0.090 0.024 0.122 0.224 0.062

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

46 50 51 50 52 49 53 52 32 49

N.S.

1 1.09 1.11 1.09 1.13 1.07 1.15 1.13 0.70 1.07

time (sec)

N/A 0.308 0.018 0.556 0.027 0.094 0.069 0.120 0.213 0.044

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

51 52 49 49 52 54 51 69 38 49

N.S.

1 1.02 0.96 0.96 1.02 1.06 1.00 1.35 0.75 0.96

time (sec)

N/A 0.327 0.028 0.763 0.031 0.065 0.144 0.118 0.252 0.050

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

51 52 51 46 54 55 51 70 39 52

N.S.

1 1.02 1.00 0.90 1.06 1.08 1.00 1.37 0.76 1.02

time (sec)

N/A 0.334 0.023 0.558 0.026 0.078 0.418 0.116 0.212 0.065

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

55 55 55 52 51 51 54 53 37 51

N.S.

1 1.00 1.00 0.95 0.93 0.93 0.98 0.96 0.67 0.93

time (sec)

N/A 0.325 0.009 0.685 0.035 0.090 0.026 0.124 0.234 0.051

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

50 50 50 49 48 48 51 50 35 48

N.S.

1 1.00 1.00 0.98 0.96 0.96 1.02 1.00 0.70 0.96

time (sec)

N/A 0.322 0.008 0.687 0.029 0.081 0.025 0.129 0.223 0.049

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

53 53 53 52 51 53 49 52 37 50

N.S.

1 1.00 1.00 0.98 0.96 1.00 0.92 0.98 0.70 0.94

time (sec)

N/A 0.325 0.021 0.558 0.030 0.076 0.066 0.125 0.247 0.053

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

50 50 50 49 48 53 49 48 37 48

N.S.

1 1.00 1.00 0.98 0.96 1.06 0.98 0.96 0.74 0.96

time (sec)

N/A 0.316 0.019 0.555 0.028 0.096 0.078 0.126 0.237 0.051

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

53 53 51 50 53 53 53 54 37 52

N.S.

1 1.00 0.96 0.94 1.00 1.00 1.00 1.02 0.70 0.98

time (sec)

N/A 0.333 0.020 0.557 0.037 0.072 0.170 0.123 0.218 0.055

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

50 50 50 46 51 53 53 51 37 50

N.S.

1 1.00 1.00 0.92 1.02 1.06 1.06 1.02 0.74 1.00

time (sec)

N/A 0.322 0.022 0.556 0.033 0.083 0.194 0.123 0.212 0.054

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

53 53 54 48 54 53 58 56 37 53

N.S.

1 1.00 1.02 0.91 1.02 1.00 1.09 1.06 0.70 1.00

time (sec)

N/A 0.329 0.019 0.559 0.036 0.093 0.487 0.119 0.223 0.055

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

50 50 50 45 51 53 54 53 37 50

N.S.

1 1.00 1.00 0.90 1.02 1.06 1.08 1.06 0.74 1.00

time (sec)

N/A 0.323 0.026 0.554 0.035 0.088 0.526 0.113 0.273 0.782

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

95 99 107 121 119 119 136 125 70 107

N.S.

1 1.04 1.13 1.27 1.25 1.25 1.43 1.32 0.74 1.13

time (sec)

N/A 0.471 0.033 0.700 0.034 0.093 0.032 0.118 0.234 0.697

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A B B B B

verified

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

size

67 71 107 121 119 119 138 125 70 107

N.S.

1 1.06 1.60 1.81 1.78 1.78 2.06 1.87 1.04 1.60

time (sec)

N/A 0.396 0.028 0.675 0.032 0.077 0.033 0.123 0.239 0.043

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A B B B B B B B B

verified

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

size

42 46 107 121 119 119 136 125 69 107

N.S.

1 1.10 2.55 2.88 2.83 2.83 3.24 2.98 1.64 2.55

time (sec)

N/A 0.336 0.039 0.677 0.027 0.097 0.032 0.119 0.219 0.044

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

88 87 113 119 120 117 134 124 66 105

N.S.

1 0.99 1.28 1.35 1.36 1.33 1.52 1.41 0.75 1.19

time (sec)

N/A 0.368 0.036 0.555 0.029 0.081 0.111 0.128 0.201 0.049

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

113 113 115 121 120 123 133 143 72 105

N.S.

1 1.00 1.02 1.07 1.06 1.09 1.18 1.27 0.64 0.93

time (sec)

N/A 0.466 0.051 0.563 0.032 0.093 0.193 0.126 0.207 0.054

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

114 116 106 117 122 123 131 148 71 113

N.S.

1 1.02 0.93 1.03 1.07 1.08 1.15 1.30 0.62 0.99

time (sec)

N/A 0.468 0.055 0.566 0.036 0.086 0.546 0.122 0.263 0.053

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

114 116 106 111 123 123 129 150 71 118

N.S.

1 1.02 0.93 0.97 1.08 1.08 1.13 1.32 0.62 1.04

time (sec)

N/A 0.461 0.064 0.562 0.033 0.088 1.281 0.121 0.253 0.908

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

114 115 118 106 123 123 129 149 72 122

N.S.

1 1.01 1.04 0.93 1.08 1.08 1.13 1.31 0.63 1.07

time (sec)

N/A 0.463 0.046 0.770 0.034 0.084 3.673 0.119 0.234 0.072

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

113 112 116 102 123 123 129 145 72 121

N.S.

1 0.99 1.03 0.90 1.09 1.09 1.14 1.28 0.64 1.07

time (sec)

N/A 0.491 0.161 0.566 0.028 0.078 19.233 0.123 0.212 0.739

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

91 90 121 102 123 123 133 136 72 121

N.S.

1 0.99 1.33 1.12 1.35 1.35 1.46 1.49 0.79 1.33

time (sec)

N/A 0.388 0.060 0.546 0.033 0.095 84.217 0.116 0.252 0.104

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

48 52 118 104 121 121 0 127 70 122

N.S.

1 1.08 2.46 2.17 2.52 2.52 0.00 2.65 1.46 2.54

time (sec)

N/A 0.295 0.034 0.550 0.028 0.077 0.000 0.127 0.227 0.073

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 80 121 104 121 121 0 127 70 122

N.S.

1 1.05 1.59 1.37 1.59 1.59 0.00 1.67 0.92 1.61

time (sec)

N/A 0.332 0.033 0.555 0.044 0.073 0.000 0.123 0.223 0.699

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 119 121 104 121 121 0 127 70 122

N.S.

1 1.02 1.03 0.89 1.03 1.03 0.00 1.09 0.60 1.04

time (sec)

N/A 0.447 0.034 0.572 0.033 0.077 0.000 0.122 0.236 0.072

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 121 119 119 136 125 70 107

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.16 1.07 0.60 0.91

time (sec)

N/A 0.474 0.023 0.720 0.031 0.095 0.042 0.124 0.245 0.045

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 121 119 119 134 125 70 107

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.15 1.07 0.60 0.91

time (sec)

N/A 0.451 0.021 0.688 0.028 0.074 0.031 0.131 0.221 0.044

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 121 119 119 136 125 70 107

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.16 1.07 0.60 0.91

time (sec)

N/A 0.433 0.021 0.710 0.034 0.065 0.036 0.120 0.194 0.045

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 121 119 119 136 125 70 107

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.16 1.07 0.60 0.91

time (sec)

N/A 0.447 0.018 0.719 0.033 0.084 0.035 0.126 0.219 0.043

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 120 119 119 133 124 70 107

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.14 1.06 0.60 0.91

time (sec)

N/A 0.440 0.019 0.722 0.026 0.105 0.031 0.120 0.218 0.043

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

117 117 117 120 119 119 134 124 70 106

N.S.

1 1.00 1.00 1.03 1.02 1.02 1.15 1.06 0.60 0.91

time (sec)

N/A 0.443 0.020 0.710 0.037 0.082 0.036 0.120 0.233 0.044

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

109 109 109 116 115 115 128 120 68 103

N.S.

1 1.00 1.00 1.06 1.06 1.06 1.17 1.10 0.62 0.94

time (sec)

N/A 0.434 0.017 0.711 0.026 0.095 0.043 0.125 0.218 0.044

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

112 112 112 121 118 121 129 124 70 106

N.S.

1 1.00 1.00 1.08 1.05 1.08 1.15 1.11 0.62 0.95

time (sec)

N/A 0.423 0.040 0.580 0.026 0.087 0.116 0.121 0.283 0.049

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

112 112 112 120 116 121 128 119 70 104

N.S.

1 1.00 1.00 1.07 1.04 1.08 1.14 1.06 0.62 0.93

time (sec)

N/A 0.427 0.036 0.585 0.028 0.116 0.118 0.123 0.217 0.046

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

113 113 115 122 121 121 133 127 70 109

N.S.

1 1.00 1.02 1.08 1.07 1.07 1.18 1.12 0.62 0.96

time (sec)

N/A 0.432 0.041 0.569 0.026 0.091 0.220 0.122 0.215 0.048

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

113 113 113 119 120 121 133 124 70 108

N.S.

1 1.00 1.00 1.05 1.06 1.07 1.18 1.10 0.62 0.96

time (sec)

N/A 0.427 0.039 0.571 0.035 0.074 0.243 0.117 0.200 0.046

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

110 110 110 117 121 121 129 127 70 113

N.S.

1 1.00 1.00 1.06 1.10 1.10 1.17 1.15 0.64 1.03

time (sec)

N/A 0.434 0.043 0.569 0.033 0.082 0.622 0.112 0.223 0.051

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

113 113 113 114 120 121 133 124 70 111

N.S.

1 1.00 1.00 1.01 1.06 1.07 1.18 1.10 0.62 0.98

time (sec)

N/A 0.420 0.039 0.568 0.026 0.075 0.638 0.123 0.217 0.047

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

115 115 118 111 122 121 131 127 70 118

N.S.

1 1.00 1.03 0.97 1.06 1.05 1.14 1.10 0.61 1.03

time (sec)

N/A 0.439 0.026 0.572 0.028 0.070 1.820 0.123 0.218 0.077

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

109 109 109 108 120 121 131 124 70 116

N.S.

1 1.00 1.00 0.99 1.10 1.11 1.20 1.14 0.64 1.06

time (sec)

N/A 0.439 0.044 0.570 0.027 0.079 2.155 0.121 0.230 0.074

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

115 115 117 107 122 121 134 128 70 123

N.S.

1 1.00 1.02 0.93 1.06 1.05 1.17 1.11 0.61 1.07

time (sec)

N/A 0.438 0.038 0.571 0.028 0.099 7.069 0.114 0.235 0.764

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

110 110 110 102 119 121 129 123 70 120

N.S.

1 1.00 1.00 0.93 1.08 1.10 1.17 1.12 0.64 1.09

time (sec)

N/A 0.450 0.044 0.569 0.039 0.079 15.061 0.124 0.196 0.080

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

115 115 118 104 122 121 134 128 70 121

N.S.

1 1.00 1.03 0.90 1.06 1.05 1.17 1.11 0.61 1.05

time (sec)

N/A 0.437 0.034 0.570 0.043 0.091 32.742 0.118 0.201 0.084

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

110 110 110 101 119 121 131 125 70 119

N.S.

1 1.00 1.00 0.92 1.08 1.10 1.19 1.14 0.64 1.08

time (sec)

N/A 0.420 0.048 0.554 0.029 0.098 102.683 0.118 0.247 0.728

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

113 113 119 104 121 121 0 127 70 119

N.S.

1 1.00 1.05 0.92 1.07 1.07 0.00 1.12 0.62 1.05

time (sec)

N/A 0.438 0.034 0.599 0.036 0.094 0.000 0.122 0.200 0.717

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 117 121 104 121 121 0 127 70 121

N.S.

1 1.00 1.03 0.89 1.03 1.03 0.00 1.09 0.60 1.03

time (sec)

N/A 0.433 0.036 0.553 0.035 0.088 0.000 0.121 0.189 0.727

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 117 117 104 121 121 0 127 70 121

N.S.

1 1.00 1.00 0.89 1.03 1.03 0.00 1.09 0.60 1.03

time (sec)

N/A 0.427 0.051 0.539 0.035 0.117 0.000 0.114 0.204 0.070

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

75 74 71 68 74 75 70 77 5 76

N.S.

1 0.99 0.95 0.91 0.99 1.00 0.93 1.03 0.07 1.01

time (sec)

N/A 0.410 0.036 0.728 0.027 0.109 0.335 0.119 0.237 0.072

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

54 53 47 49 50 51 46 52 5 52

N.S.

1 0.98 0.87 0.91 0.93 0.94 0.85 0.96 0.09 0.96

time (sec)

N/A 0.348 0.023 0.931 0.036 0.101 0.254 0.126 0.207 0.728

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

35 33 31 32 31 30 27 32 5 31

N.S.

1 0.94 0.89 0.91 0.89 0.86 0.77 0.91 0.14 0.89

time (sec)

N/A 0.318 0.015 0.721 0.027 0.125 0.264 0.124 0.254 0.710

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

34 38 34 33 35 32 26 34 2 36

N.S.

1 1.12 1.00 0.97 1.03 0.94 0.76 1.00 0.06 1.06

time (sec)

N/A 0.335 0.016 0.710 0.027 0.109 0.606 0.128 0.206 0.830

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

50 51 49 46 48 47 41 69 5 46

N.S.

1 1.02 0.98 0.92 0.96 0.94 0.82 1.38 0.10 0.92

time (sec)

N/A 0.365 0.025 0.720 0.032 0.111 0.614 0.131 0.249 0.771

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

69 70 70 64 70 73 61 99 5 70

N.S.

1 1.01 1.01 0.93 1.01 1.06 0.88 1.43 0.07 1.01

time (sec)

N/A 0.384 0.032 0.724 0.033 0.108 0.709 0.124 0.213 0.763

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

183 156 171 84 182 167 114 217 5 164

N.S.

1 0.85 0.93 0.46 0.99 0.91 0.62 1.19 0.03 0.90

time (sec)

N/A 0.521 0.113 0.815 0.114 0.111 0.327 0.117 0.210 0.292

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

167 157 154 65 157 162 114 207 5 144

N.S.

1 0.94 0.92 0.39 0.94 0.97 0.68 1.24 0.03 0.86

time (sec)

N/A 0.564 0.116 0.812 0.109 0.109 0.258 0.125 0.217 1.073

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

162 147 152 60 154 145 87 186 5 162

N.S.

1 0.91 0.94 0.37 0.95 0.90 0.54 1.15 0.03 1.00

time (sec)

N/A 0.532 0.095 0.816 0.109 0.108 0.277 0.131 0.241 1.070

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

150 140 152 45 131 382 92 161 5 126

N.S.

1 0.93 1.01 0.30 0.87 2.55 0.61 1.07 0.03 0.84

time (sec)

N/A 0.490 0.052 0.805 0.107 0.103 0.230 0.134 0.250 0.960

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

145 130 129 42 128 369 71 133 1 123

N.S.

1 0.90 0.89 0.29 0.88 2.54 0.49 0.92 0.01 0.85

time (sec)

N/A 0.469 0.067 0.933 0.109 0.112 0.259 0.127 0.213 0.288

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

147 139 134 114 140 372 90 155 5 126

N.S.

1 0.95 0.91 0.78 0.95 2.53 0.61 1.05 0.03 0.86

time (sec)

N/A 0.509 0.094 0.806 0.111 0.162 0.245 0.128 0.248 0.910

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

149 136 135 113 140 411 73 161 5 126

N.S.

1 0.91 0.91 0.76 0.94 2.76 0.49 1.08 0.03 0.85

time (sec)

N/A 0.496 0.104 0.815 0.110 0.118 0.313 0.129 0.216 0.274

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

165 156 154 130 147 158 112 197 5 178

N.S.

1 0.95 0.93 0.79 0.89 0.96 0.68 1.19 0.03 1.08

time (sec)

N/A 0.559 0.120 0.813 0.113 0.091 0.328 0.131 0.202 0.996

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

168 153 154 130 148 176 99 176 5 145

N.S.

1 0.91 0.92 0.77 0.88 1.05 0.59 1.05 0.03 0.86

time (sec)

N/A 0.542 0.130 0.799 0.114 0.093 0.355 0.123 0.196 0.941

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

184 173 173 150 178 180 139 216 5 161

N.S.

1 0.94 0.94 0.82 0.97 0.98 0.76 1.17 0.03 0.88

time (sec)

N/A 0.585 0.141 0.815 0.107 0.100 0.357 0.135 0.258 0.922

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

82 79 72 76 82 121 82 106 61 86

N.S.

1 0.96 0.88 0.93 1.00 1.48 1.00 1.29 0.74 1.05

time (sec)

N/A 0.403 0.077 0.848 0.031 0.096 0.630 0.129 0.249 0.882

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

60 55 50 57 60 81 56 91 48 62

N.S.

1 0.92 0.83 0.95 1.00 1.35 0.93 1.52 0.80 1.03

time (sec)

N/A 0.351 0.043 0.729 0.026 0.099 0.515 0.126 0.219 0.085

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

41 40 41 38 40 44 36 65 37 37

N.S.

1 0.98 1.00 0.93 0.98 1.07 0.88 1.59 0.90 0.90

time (sec)

N/A 0.322 0.017 0.707 0.033 0.109 0.323 0.122 0.206 0.060

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

51 52 46 48 51 70 46 61 45 47

N.S.

1 1.02 0.90 0.94 1.00 1.37 0.90 1.20 0.88 0.92

time (sec)

N/A 0.346 0.034 0.715 0.036 0.089 0.317 0.129 0.239 0.152

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

76 75 64 76 76 118 70 80 61 78

N.S.

1 0.99 0.84 1.00 1.00 1.55 0.92 1.05 0.80 1.03

time (sec)

N/A 0.404 0.052 0.731 0.032 0.090 0.811 0.127 0.225 0.777

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

97 95 85 96 106 154 100 149 78 100

N.S.

1 0.98 0.88 0.99 1.09 1.59 1.03 1.54 0.80 1.03

time (sec)

N/A 0.447 0.103 0.732 0.027 0.088 0.975 0.128 0.237 0.824

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

217 193 203 114 218 271 156 244 99 209

N.S.

1 0.89 0.94 0.53 1.00 1.25 0.72 1.12 0.46 0.96

time (sec)

N/A 0.556 0.149 0.804 0.109 0.105 0.589 0.128 0.232 1.027

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

201 186 185 94 192 257 151 236 98 179

N.S.

1 0.93 0.92 0.47 0.96 1.28 0.75 1.17 0.49 0.89

time (sec)

N/A 0.548 0.138 0.809 0.107 0.145 0.670 0.124 0.254 0.962

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

194 182 181 87 187 240 126 211 88 193

N.S.

1 0.94 0.93 0.45 0.96 1.24 0.65 1.09 0.45 0.99

time (sec)

N/A 0.533 0.130 0.824 0.119 0.117 0.543 0.127 0.211 1.038

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

182 183 165 71 162 578 126 189 81 158

N.S.

1 1.01 0.91 0.39 0.89 3.18 0.69 1.04 0.45 0.87

time (sec)

N/A 0.602 0.124 0.835 0.106 0.154 0.587 0.125 0.203 0.304

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

172 172 160 65 157 573 102 166 78 150

N.S.

1 1.00 0.93 0.38 0.91 3.33 0.59 0.97 0.45 0.87

time (sec)

N/A 0.590 0.135 0.822 0.111 0.106 0.472 0.124 0.223 0.933

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

171 165 146 67 160 548 117 186 65 145

N.S.

1 0.96 0.85 0.39 0.94 3.20 0.68 1.09 0.38 0.85

time (sec)

N/A 0.548 0.096 0.799 0.108 0.153 0.405 0.131 0.212 0.934

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

169 158 145 65 158 537 97 160 67 143

N.S.

1 0.93 0.86 0.38 0.93 3.18 0.57 0.95 0.40 0.85

time (sec)

N/A 0.578 0.095 0.803 0.112 0.159 0.388 0.128 0.222 0.295

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

180 181 164 139 166 570 122 180 84 156

N.S.

1 1.01 0.91 0.77 0.92 3.17 0.68 1.00 0.47 0.87

time (sec)

N/A 0.602 0.136 0.830 0.110 0.161 0.415 0.133 0.207 1.004

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

180 178 163 138 172 618 109 188 96 159

N.S.

1 0.99 0.91 0.77 0.96 3.43 0.61 1.04 0.53 0.88

time (sec)

N/A 0.595 0.244 0.822 0.111 0.115 0.435 0.132 0.274 0.285

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

199 198 185 155 186 259 153 231 107 209

N.S.

1 0.99 0.93 0.78 0.93 1.30 0.77 1.16 0.54 1.05

time (sec)

N/A 0.646 0.153 0.814 0.112 0.102 0.477 0.125 0.222 1.004

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

200 195 183 154 186 277 138 206 114 176

N.S.

1 0.98 0.92 0.77 0.93 1.38 0.69 1.03 0.57 0.88

time (sec)

N/A 0.649 0.158 0.832 0.115 0.093 0.485 0.130 0.214 1.060

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

107 106 94 100 115 179 112 131 130 117

N.S.

1 0.99 0.88 0.93 1.07 1.67 1.05 1.22 1.21 1.09

time (sec)

N/A 0.491 0.073 0.855 0.029 0.111 1.381 0.134 0.217 0.134

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

88 83 92 76 94 142 94 93 115 94

N.S.

1 0.94 1.05 0.86 1.07 1.61 1.07 1.06 1.31 1.07

time (sec)

N/A 0.421 0.043 0.749 0.033 0.113 1.450 0.138 0.249 0.118

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

66 65 64 57 72 89 70 61 97 70

N.S.

1 0.98 0.97 0.86 1.09 1.35 1.06 0.92 1.47 1.06

time (sec)

N/A 0.371 0.029 0.721 0.026 0.131 1.222 0.136 0.204 0.741

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

32 32 30 29 42 42 42 28 17 44

N.S.

1 1.00 0.94 0.91 1.31 1.31 1.31 0.88 0.53 1.38

time (sec)

N/A 0.271 0.017 0.714 0.030 0.088 0.633 0.129 0.207 0.035

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A A A A B B

verified

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

size

68 69 59 61 77 119 75 74 114 71

N.S.

1 1.01 0.87 0.90 1.13 1.75 1.10 1.09 1.68 1.04

time (sec)

N/A 0.374 0.051 0.721 0.033 0.114 0.450 0.133 0.250 0.176

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

101 100 87 98 109 197 107 136 142 107

N.S.

1 0.99 0.86 0.97 1.08 1.95 1.06 1.35 1.41 1.06

time (sec)

N/A 0.459 0.063 0.733 0.034 0.109 0.885 0.135 0.226 0.806

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A A A B A A B B

verified

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

size

122 122 108 123 136 229 133 131 157 130

N.S.

1 1.00 0.89 1.01 1.11 1.88 1.09 1.07 1.29 1.07

time (sec)

N/A 0.520 0.089 0.744 0.029 0.090 0.985 0.136 0.232 0.825

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

232 213 216 116 228 364 192 259 197 213

N.S.

1 0.92 0.93 0.50 0.98 1.57 0.83 1.12 0.85 0.92

time (sec)

N/A 0.593 0.203 0.971 0.111 0.098 1.716 0.135 0.234 0.959

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A A A A B B

verified

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

size

223 209 210 109 223 347 163 234 187 227

N.S.

1 0.94 0.94 0.49 1.00 1.56 0.73 1.05 0.84 1.02

time (sec)

N/A 0.591 0.167 0.829 0.117 0.114 1.169 0.125 0.248 0.348

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A A A C A B A A B B

verified

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

size

208 209 194 90 196 792 162 210 180 187

N.S.

1 1.00 0.93 0.43 0.94 3.81 0.78 1.01 0.87 0.90

time (sec)

N/A 0.676 0.175 0.864 0.112 0.128 1.488 0.135 0.224 0.976