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 B A F(-1) A B B

verified

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

size

79 49 91 36 114 13 0 29 15 71

N.S.

1 0.62 1.15 0.46 1.44 0.16 0.00 0.37 0.19 0.90

time (sec)

N/A 0.193 0.537 0.128 0.036 0.065 0.000 0.125 0.180 21.998

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 71 39 31 83 13 0 23 15 59

N.S.

1 1.06 0.58 0.46 1.24 0.19 0.00 0.34 0.22 0.88

time (sec)

N/A 0.212 1.012 0.102 0.034 0.059 0.000 0.107 0.184 21.879

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 88 23 52 13 0 22 14 33

N.S.

1 1.00 2.44 0.64 1.44 0.36 0.00 0.61 0.39 0.92

time (sec)

N/A 0.179 0.451 0.102 0.035 0.063 0.000 0.140 0.175 21.253

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 45 454 26 96 11 0 28 11 109

N.S.

1 0.60 6.05 0.35 1.28 0.15 0.00 0.37 0.15 1.45

time (sec)

N/A 0.196 1.013 0.083 0.037 0.062 0.000 0.133 0.169 21.254

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 45 178 28 99 17 0 43 17 112

N.S.

1 0.60 2.37 0.37 1.32 0.23 0.00 0.57 0.23 1.49

time (sec)

N/A 0.207 0.386 0.086 0.035 0.061 0.000 0.129 0.182 21.739

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 37 22 86 13 0 30 15 33

N.S.

1 1.00 0.95 0.56 2.21 0.33 0.00 0.77 0.38 0.85

time (sec)

N/A 0.188 1.016 0.086 0.040 0.062 0.000 0.126 0.176 23.097

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 24 117 15 0 31 15 35

N.S.

1 0.62 0.49 0.30 1.48 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.201 1.018 0.089 0.045 0.061 0.000 0.112 0.176 23.745

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 24 148 15 0 31 15 35

N.S.

1 0.62 0.49 0.30 1.87 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.202 1.013 0.088 0.039 0.061 0.000 0.132 0.182 21.851

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 36 13 13 0 29 15 0

N.S.

1 0.62 0.49 0.46 0.16 0.16 0.00 0.37 0.19 0.00

time (sec)

N/A 0.200 1.012 2.171 0.034 0.063 0.000 0.126 0.174 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 36 13 13 0 29 15 0

N.S.

1 0.62 0.49 0.46 0.16 0.16 0.00 0.37 0.19 0.00

time (sec)

N/A 0.200 1.012 1.787 0.034 0.064 0.000 0.129 0.184 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 49 39 36 13 13 0 29 15 0

N.S.

1 0.62 0.49 0.46 0.16 0.16 0.00 0.37 0.19 0.00

time (sec)

N/A 0.199 1.011 1.297 0.039 0.064 0.000 0.133 0.168 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 50 36 33 10 10 0 20 12 0

N.S.

1 0.68 0.49 0.45 0.14 0.14 0.00 0.27 0.16 0.00

time (sec)

N/A 0.193 0.010 1.067 0.034 0.061 0.000 0.112 0.176 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 47 38 36 14 14 0 29 14 0

N.S.

1 0.61 0.49 0.47 0.18 0.18 0.00 0.38 0.18 0.00

time (sec)

N/A 0.200 1.014 1.509 0.034 0.062 0.000 0.125 0.184 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 44 37 34 15 15 0 26 15 0

N.S.

1 0.59 0.50 0.46 0.20 0.20 0.00 0.35 0.20 0.00

time (sec)

N/A 0.198 1.011 1.812 0.033 0.063 0.000 0.133 0.172 0.000

Problem 15

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

77 47 37 34 13 13 0 30 15 33

N.S.

1 0.61 0.48 0.44 0.17 0.17 0.00 0.39 0.19 0.43

time (sec)

N/A 0.200 1.011 2.569 0.036 0.064 0.000 0.135 0.185 21.224

Problem 16

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

79 49 39 35 15 15 0 31 15 35

N.S.

1 0.62 0.49 0.44 0.19 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.206 1.012 2.948 0.033 0.062 0.000 0.105 0.176 21.130

Problem 17

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

79 49 39 35 15 15 0 31 15 35

N.S.

1 0.62 0.49 0.44 0.19 0.19 0.00 0.39 0.19 0.44

time (sec)

N/A 0.203 1.013 5.086 0.035 0.065 0.000 0.117 0.172 21.674

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 78 113 42 114 35 0 67 37 0

N.S.

1 0.66 0.95 0.35 0.96 0.29 0.00 0.56 0.31 0.00

time (sec)

N/A 0.234 0.890 0.121 0.036 0.067 0.000 0.116 0.177 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 73 113 31 83 35 0 45 37 46

N.S.

1 1.06 1.64 0.45 1.20 0.51 0.00 0.65 0.54 0.67

time (sec)

N/A 0.215 0.773 0.105 0.036 0.064 0.000 0.126 0.174 20.963

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 60 23 52 35 0 44 36 36

N.S.

1 1.00 1.58 0.61 1.37 0.92 0.00 1.16 0.95 0.95

time (sec)

N/A 0.181 1.027 0.103 0.035 0.065 0.000 0.132 0.182 20.727

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

160 74 60 54 152 32 0 65 32 0

N.S.

1 0.46 0.38 0.34 0.95 0.20 0.00 0.41 0.20 0.00

time (sec)

N/A 0.222 1.029 0.100 0.038 0.064 0.000 0.107 0.179 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 73 62 59 156 38 0 85 38 0

N.S.

1 0.45 0.39 0.37 0.97 0.24 0.00 0.53 0.24 0.00

time (sec)

N/A 0.230 1.029 0.116 0.036 0.062 0.000 0.129 0.171 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 72 61 59 220 39 0 86 39 0

N.S.

1 0.44 0.38 0.36 1.36 0.24 0.00 0.53 0.24 0.00

time (sec)

N/A 0.230 1.026 0.100 0.037 0.063 0.000 0.128 0.176 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

161 74 266 52 253 39 0 85 39 0

N.S.

1 0.46 1.65 0.32 1.57 0.24 0.00 0.53 0.24 0.00

time (sec)

N/A 0.230 0.596 0.104 0.039 0.062 0.000 0.130 0.172 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 59 41 148 35 0 68 37 151

N.S.

1 1.00 1.44 1.00 3.61 0.85 0.00 1.66 0.90 3.68

time (sec)

N/A 0.181 1.020 0.104 0.039 0.063 0.000 0.124 0.184 20.577

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 75 61 44 179 37 0 69 37 151

N.S.

1 0.89 0.73 0.52 2.13 0.44 0.00 0.82 0.44 1.80

time (sec)

N/A 0.203 1.022 0.108 0.040 0.064 0.000 0.112 0.168 20.760

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 78 61 44 210 37 0 69 37 151

N.S.

1 0.47 0.37 0.26 1.26 0.22 0.00 0.41 0.22 0.90

time (sec)

N/A 0.231 1.022 0.111 0.041 0.063 0.000 0.126 0.172 21.563

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 75 61 58 35 35 0 67 37 0

N.S.

1 0.45 0.37 0.35 0.21 0.21 0.00 0.40 0.22 0.00

time (sec)

N/A 0.224 1.023 2.145 0.033 0.078 0.000 0.128 0.180 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 75 61 58 35 35 0 67 37 0

N.S.

1 0.45 0.37 0.35 0.21 0.21 0.00 0.40 0.22 0.00

time (sec)

N/A 0.227 1.025 1.793 0.034 0.067 0.000 0.129 0.171 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

167 75 61 58 35 35 0 67 37 0

N.S.

1 0.45 0.37 0.35 0.21 0.21 0.00 0.40 0.22 0.00

time (sec)

N/A 0.218 1.021 1.253 0.033 0.067 0.000 0.132 0.183 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

162 78 59 56 32 32 0 64 35 0

N.S.

1 0.48 0.36 0.35 0.20 0.20 0.00 0.40 0.22 0.00

time (sec)

N/A 0.222 1.019 1.034 0.040 0.062 0.000 0.109 0.179 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 73 61 58 37 37 0 67 37 0

N.S.

1 0.44 0.37 0.35 0.22 0.22 0.00 0.41 0.22 0.00

time (sec)

N/A 0.224 1.021 1.522 0.038 0.065 0.000 0.130 0.167 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

163 71 61 58 37 37 0 65 37 0

N.S.

1 0.44 0.37 0.36 0.23 0.23 0.00 0.40 0.23 0.00

time (sec)

N/A 0.225 1.022 1.764 0.033 0.063 0.000 0.113 0.181 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 73 61 58 37 37 0 69 37 0

N.S.

1 0.44 0.37 0.35 0.22 0.22 0.00 0.42 0.22 0.00

time (sec)

N/A 0.227 1.020 2.506 0.036 0.065 0.000 0.137 0.167 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

163 71 61 58 37 37 0 68 37 0

N.S.

1 0.44 0.37 0.36 0.23 0.23 0.00 0.42 0.23 0.00

time (sec)

N/A 0.224 1.023 3.015 0.034 0.061 0.000 0.124 0.188 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 73 61 58 37 37 0 70 37 0

N.S.

1 0.44 0.37 0.35 0.22 0.22 0.00 0.42 0.22 0.00

time (sec)

N/A 0.224 1.017 5.102 0.036 0.063 0.000 0.112 0.173 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

160 107 83 53 145 57 0 105 59 0

N.S.

1 0.67 0.52 0.33 0.91 0.36 0.00 0.66 0.37 0.00

time (sec)

N/A 0.257 1.036 0.195 0.036 0.063 0.000 0.134 0.164 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 88 83 42 114 57 0 105 59 0

N.S.

1 0.74 0.70 0.35 0.96 0.48 0.00 0.88 0.50 0.00

time (sec)

N/A 0.240 1.037 0.148 0.042 0.067 0.000 0.114 0.179 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 73 83 31 83 57 0 67 59 0

N.S.

1 1.06 1.20 0.45 1.20 0.83 0.00 0.97 0.86 0.00

time (sec)

N/A 0.213 1.034 0.115 0.035 0.064 0.000 0.132 0.163 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 82 23 52 57 0 66 58 36

N.S.

1 1.00 2.16 0.61 1.37 1.50 0.00 1.74 1.53 0.95

time (sec)

N/A 0.179 1.034 0.109 0.035 0.069 0.000 0.128 0.165 22.417

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 98 82 75 206 55 0 104 55 0

N.S.

1 0.39 0.33 0.30 0.82 0.22 0.00 0.41 0.22 0.00

time (sec)

N/A 0.244 1.039 0.102 0.041 0.068 0.000 0.113 0.189 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 97 85 81 214 61 0 124 61 0

N.S.

1 0.38 0.34 0.32 0.85 0.24 0.00 0.49 0.24 0.00

time (sec)

N/A 0.245 1.036 0.107 0.043 0.073 0.000 0.141 0.164 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 99 85 82 282 61 0 126 61 0

N.S.

1 0.39 0.34 0.33 1.12 0.24 0.00 0.50 0.24 0.00

time (sec)

N/A 0.248 1.047 0.119 0.041 0.069 0.000 0.111 0.176 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 99 85 82 313 61 0 127 61 0

N.S.

1 0.39 0.34 0.33 1.24 0.24 0.00 0.50 0.24 0.00

time (sec)

N/A 0.249 1.038 0.165 0.043 0.068 0.000 0.129 0.170 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 96 85 81 342 61 0 125 61 0

N.S.

1 0.38 0.34 0.32 1.36 0.24 0.00 0.50 0.24 0.00

time (sec)

N/A 0.246 1.030 0.219 0.041 0.068 0.000 0.142 0.169 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 98 268 72 374 61 0 123 61 0

N.S.

1 0.39 1.07 0.29 1.49 0.24 0.00 0.49 0.24 0.00

time (sec)

N/A 0.250 0.856 0.366 0.046 0.071 0.000 0.112 0.179 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 81 58 210 57 0 106 59 231

N.S.

1 1.00 1.98 1.41 5.12 1.39 0.00 2.59 1.44 5.63

time (sec)

N/A 0.183 1.030 0.651 0.047 0.067 0.000 0.126 0.164 19.372

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 75 83 68 241 59 0 107 59 231

N.S.

1 0.89 0.99 0.81 2.87 0.70 0.00 1.27 0.70 2.75

time (sec)

N/A 0.202 1.033 1.181 0.053 0.070 0.000 0.133 0.165 19.510

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

128 103 83 66 272 59 0 107 59 231

N.S.

1 0.80 0.65 0.52 2.12 0.46 0.00 0.84 0.46 1.80

time (sec)

N/A 0.221 1.029 2.158 0.050 0.070 0.000 0.145 0.174 19.603

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

255 101 83 80 57 57 0 105 59 0

N.S.

1 0.40 0.33 0.31 0.22 0.22 0.00 0.41 0.23 0.00

time (sec)

N/A 0.247 1.030 2.179 0.036 0.072 0.000 0.126 0.168 0.000

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 98 83 80 56 56 0 104 59 0

N.S.

1 0.39 0.33 0.32 0.22 0.22 0.00 0.41 0.23 0.00

time (sec)

N/A 0.243 1.025 1.769 0.038 0.064 0.000 0.113 0.180 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 98 83 80 56 56 0 104 59 0

N.S.

1 0.39 0.33 0.32 0.22 0.22 0.00 0.41 0.23 0.00

time (sec)

N/A 0.234 1.026 1.283 0.037 0.069 0.000 0.121 0.173 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

247 101 81 78 53 53 0 101 57 0

N.S.

1 0.41 0.33 0.32 0.21 0.21 0.00 0.41 0.23 0.00

time (sec)

N/A 0.243 1.027 1.106 0.034 0.066 0.000 0.142 0.173 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 97 83 80 59 59 0 105 59 0

N.S.

1 0.39 0.33 0.32 0.24 0.24 0.00 0.42 0.24 0.00

time (sec)

N/A 0.243 1.028 1.522 0.038 0.073 0.000 0.114 0.180 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 97 83 80 59 59 0 103 59 0

N.S.

1 0.39 0.33 0.32 0.24 0.24 0.00 0.41 0.24 0.00

time (sec)

N/A 0.238 1.029 1.766 0.034 0.071 0.000 0.121 0.168 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

249 95 83 80 59 59 0 107 59 0

N.S.

1 0.38 0.33 0.32 0.24 0.24 0.00 0.43 0.24 0.00

time (sec)

N/A 0.239 1.031 2.497 0.034 0.071 0.000 0.144 0.175 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

251 97 83 80 59 59 0 106 59 0

N.S.

1 0.39 0.33 0.32 0.24 0.24 0.00 0.42 0.24 0.00

time (sec)

N/A 0.241 1.031 3.093 0.038 0.077 0.000 0.135 0.166 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

248 94 83 80 59 59 0 107 59 0

N.S.

1 0.38 0.33 0.32 0.24 0.24 0.00 0.43 0.24 0.00

time (sec)

N/A 0.242 1.026 5.523 0.033 0.067 0.000 0.130 0.169 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

169 81 67 64 95 45 0 79 73 0

N.S.

1 0.48 0.40 0.38 0.56 0.27 0.00 0.47 0.43 0.00

time (sec)

N/A 0.237 1.036 0.122 0.034 0.068 0.000 0.115 0.182 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 68 167 47 36 33 0 59 61 0

N.S.

1 0.54 1.31 0.37 0.28 0.26 0.00 0.46 0.48 0.00

time (sec)

N/A 0.222 0.575 0.128 0.035 0.067 0.000 0.124 0.172 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 74 113 34 42 22 0 33 48 64

N.S.

1 0.99 1.51 0.45 0.56 0.29 0.00 0.44 0.64 0.85

time (sec)

N/A 0.215 0.499 0.102 0.035 0.067 0.000 0.124 0.175 19.846

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 44 51 22 15 13 0 22 37 33

N.S.

1 1.00 1.16 0.50 0.34 0.30 0.00 0.50 0.84 0.75

time (sec)

N/A 0.178 0.186 0.098 0.034 0.067 0.000 0.145 0.171 19.948

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

80 55 134 31 43 18 0 32 45 48

N.S.

1 0.69 1.68 0.39 0.54 0.22 0.00 0.40 0.56 0.60

time (sec)

N/A 0.191 0.285 0.105 0.036 0.071 0.000 0.112 0.173 20.192

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

125 65 175 44 73 33 0 50 61 75

N.S.

1 0.52 1.40 0.35 0.58 0.26 0.00 0.40 0.49 0.60

time (sec)

N/A 0.223 0.307 0.108 0.037 0.085 0.000 0.130 0.178 20.168

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

165 79 162 58 104 45 0 65 78 0

N.S.

1 0.48 0.98 0.35 0.63 0.27 0.00 0.39 0.47 0.00

time (sec)

N/A 0.239 0.589 0.119 0.040 0.080 0.000 0.125 0.180 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

208 93 192 71 135 58 0 78 89 0

N.S.

1 0.45 0.92 0.34 0.65 0.28 0.00 0.38 0.43 0.00

time (sec)

N/A 0.248 0.738 0.144 0.051 0.069 0.000 0.118 0.172 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

277 162 140 86 122 108 0 169 88 0

N.S.

1 0.58 0.51 0.31 0.44 0.39 0.00 0.61 0.32 0.00

time (sec)

N/A 0.317 1.079 3.038 0.130 0.075 0.000 0.124 0.179 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

240 163 131 77 109 123 0 146 81 0

N.S.

1 0.68 0.55 0.32 0.45 0.51 0.00 0.61 0.34 0.00

time (sec)

N/A 0.344 1.043 2.164 0.120 0.089 0.000 0.135 0.167 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

235 153 128 74 106 106 0 143 78 0

N.S.

1 0.65 0.54 0.31 0.45 0.45 0.00 0.61 0.33 0.00

time (sec)

N/A 0.333 1.047 1.808 0.129 0.080 0.000 0.132 0.186 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

202 146 109 47 98 304 0 124 65 0

N.S.

1 0.72 0.54 0.23 0.49 1.50 0.00 0.61 0.32 0.00

time (sec)

N/A 0.309 1.031 1.277 0.131 0.116 0.000 0.145 0.165 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

202 143 109 47 98 299 0 122 67 0

N.S.

1 0.71 0.54 0.23 0.49 1.48 0.00 0.60 0.33 0.00

time (sec)

N/A 0.320 1.029 1.076 0.118 0.093 0.000 0.116 0.166 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

238 161 133 93 106 103 0 131 84 0

N.S.

1 0.68 0.56 0.39 0.45 0.43 0.00 0.55 0.35 0.00

time (sec)

N/A 0.364 1.037 1.538 0.122 0.076 0.000 0.140 0.175 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

243 158 140 94 106 143 0 125 96 0

N.S.

1 0.65 0.58 0.39 0.44 0.59 0.00 0.51 0.40 0.00

time (sec)

N/A 0.341 1.042 1.862 0.118 0.075 0.000 0.133 0.166 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

278 178 151 105 119 129 0 137 107 0

N.S.

1 0.64 0.54 0.38 0.43 0.46 0.00 0.49 0.38 0.00

time (sec)

N/A 0.365 1.049 2.621 0.126 0.077 0.000 0.121 0.179 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 105 93 77 145 103 0 116 201 0

N.S.

1 0.54 0.47 0.39 0.74 0.53 0.00 0.59 1.03 0.00

time (sec)

N/A 0.268 1.044 0.148 0.041 0.066 0.000 0.134 0.176 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 91 81 65 114 91 0 92 187 0

N.S.

1 0.59 0.53 0.42 0.74 0.59 0.00 0.60 1.21 0.00

time (sec)

N/A 0.250 1.042 0.106 0.044 0.072 0.000 0.129 0.167 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 80 192 54 55 69 0 62 170 0

N.S.

1 0.69 1.66 0.47 0.47 0.59 0.00 0.53 1.47 0.00

time (sec)

N/A 0.241 0.756 0.100 0.036 0.072 0.000 0.145 0.178 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 71 119 31 43 36 0 32 28 42

N.S.

1 1.73 2.90 0.76 1.05 0.88 0.00 0.78 0.68 1.02

time (sec)

N/A 0.212 0.502 0.090 0.037 0.070 0.000 0.122 0.167 20.120

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 143 23 16 26 0 24 25 34

N.S.

1 1.00 3.76 0.61 0.42 0.68 0.00 0.63 0.66 0.89

time (sec)

N/A 0.181 0.555 0.084 0.039 0.066 0.000 0.132 0.176 20.079

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

147 84 74 70 88 90 0 87 198 0

N.S.

1 0.57 0.50 0.48 0.60 0.61 0.00 0.59 1.35 0.00

time (sec)

N/A 0.242 1.042 0.112 0.036 0.071 0.000 0.136 0.201 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

188 98 97 92 117 119 0 120 228 0

N.S.

1 0.52 0.52 0.49 0.62 0.63 0.00 0.64 1.21 0.00

time (sec)

N/A 0.263 1.038 0.115 0.036 0.070 0.000 0.135 0.175 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

231 117 111 104 148 134 0 109 245 0

N.S.

1 0.51 0.48 0.45 0.64 0.58 0.00 0.47 1.06 0.00

time (sec)

N/A 0.280 1.046 0.126 0.043 0.073 0.000 0.119 0.186 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

275 193 235 85 137 503 0 177 278 0

N.S.

1 0.70 0.85 0.31 0.50 1.83 0.00 0.64 1.01 0.00

time (sec)

N/A 0.384 1.125 2.983 0.128 0.087 0.000 0.141 0.168 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

280 200 235 89 149 512 0 185 265 0

N.S.

1 0.71 0.84 0.32 0.53 1.83 0.00 0.66 0.95 0.00

time (sec)

N/A 0.377 1.103 2.203 0.114 0.088 0.000 0.144 0.172 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

276 191 235 87 146 503 0 176 278 0

N.S.

1 0.69 0.85 0.32 0.53 1.82 0.00 0.64 1.01 0.00

time (sec)

N/A 0.373 1.070 1.861 0.118 0.087 0.000 0.142 0.172 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

277 200 237 90 147 514 0 176 267 0

N.S.

1 0.72 0.86 0.32 0.53 1.86 0.00 0.64 0.96 0.00

time (sec)

N/A 0.378 1.079 1.268 0.113 0.092 0.000 0.115 0.173 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

273 207 235 88 145 499 0 177 278 0

N.S.

1 0.76 0.86 0.32 0.53 1.83 0.00 0.65 1.02 0.00

time (sec)

N/A 0.392 1.074 1.080 0.121 0.110 0.000 0.146 0.181 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

316 215 260 115 148 201 0 201 290 0

N.S.

1 0.68 0.82 0.36 0.47 0.64 0.00 0.64 0.92 0.00

time (sec)

N/A 0.414 1.091 1.561 0.121 0.081 0.000 0.148 0.170 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

314 212 266 116 150 242 0 184 309 0

N.S.

1 0.68 0.85 0.37 0.48 0.77 0.00 0.59 0.98 0.00

time (sec)

N/A 0.413 1.102 1.832 0.127 0.079 0.000 0.120 0.175 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

119 86 206 42 53 69 0 43 68 53

N.S.

1 0.72 1.73 0.35 0.45 0.58 0.00 0.36 0.57 0.45

time (sec)

N/A 0.239 0.970 0.099 0.038 0.067 0.000 0.120 0.182 18.720

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 73 232 31 43 58 0 32 57 42

N.S.

1 1.06 3.36 0.45 0.62 0.84 0.00 0.46 0.83 0.61

time (sec)

N/A 0.213 0.911 0.100 0.037 0.068 0.000 0.128 0.174 19.115

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 267 23 16 48 0 24 47 34

N.S.

1 1.00 7.03 0.61 0.42 1.26 0.00 0.63 1.24 0.89

time (sec)

N/A 0.184 0.924 0.092 0.052 0.068 0.000 0.112 0.188 18.842

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

223 116 96 92 132 178 0 109 372 0

N.S.

1 0.52 0.43 0.41 0.59 0.80 0.00 0.49 1.67 0.00

time (sec)

N/A 0.272 1.057 0.122 0.054 0.069 0.000 0.143 0.178 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

269 132 119 114 163 207 0 143 404 0

N.S.

1 0.49 0.44 0.42 0.61 0.77 0.00 0.53 1.50 0.00

time (sec)

N/A 0.297 1.059 0.138 0.050 0.070 0.000 0.117 0.174 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

365 254 226 107 197 734 0 207 481 0

N.S.

1 0.70 0.62 0.29 0.54 2.01 0.00 0.57 1.32 0.00

time (sec)

N/A 0.448 1.162 4.622 0.140 0.083 0.000 0.141 0.182 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

359 243 218 105 195 723 0 205 492 0

N.S.

1 0.68 0.61 0.29 0.54 2.01 0.00 0.57 1.37 0.00

time (sec)

N/A 0.434 1.154 3.004 0.136 0.089 0.000 0.147 0.169 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

368 254 229 109 195 734 0 207 481 0

N.S.

1 0.69 0.62 0.30 0.53 1.99 0.00 0.56 1.31 0.00

time (sec)

N/A 0.443 1.191 2.218 0.150 0.084 0.000 0.127 0.185 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

360 241 221 107 193 723 0 199 492 0

N.S.

1 0.67 0.61 0.30 0.54 2.01 0.00 0.55 1.37 0.00

time (sec)

N/A 0.423 1.162 1.787 0.133 0.087 0.000 0.140 0.174 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

359 254 219 112 191 734 0 198 481 0

N.S.

1 0.71 0.61 0.31 0.53 2.04 0.00 0.55 1.34 0.00

time (sec)

N/A 0.442 1.139 1.257 0.125 0.083 0.000 0.146 0.177 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

351 269 211 110 189 719 0 199 492 0

N.S.

1 0.77 0.60 0.31 0.54 2.05 0.00 0.57 1.40 0.00

time (sec)

N/A 0.466 1.148 1.043 0.122 0.090 0.000 0.126 0.181 0.000