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 B B B B B

verified

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

size

11 11 11 19 18 28 36 44 31 11

N.S.

1 1.00 1.00 1.73 1.64 2.55 3.27 4.00 2.82 1.00

time (sec)

N/A 0.159 0.003 0.143 0.027 0.074 0.809 0.141 0.172 0.111

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

10 10 10 11 10 18 0 10 18 10

N.S.

1 1.00 1.00 1.10 1.00 1.80 0.00 1.00 1.80 1.00

time (sec)

N/A 0.170 0.004 0.237 0.029 0.065 0.000 0.113 0.163 10.098

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 34 36 46 61 0 48 95 36

N.S.

1 1.00 1.00 1.06 1.35 1.79 0.00 1.41 2.79 1.06

time (sec)

N/A 0.229 0.009 0.346 0.026 0.079 0.000 0.155 0.171 0.071

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 23 24 22 31 0 22 43 21

N.S.

1 1.00 0.88 0.92 0.85 1.19 0.00 0.85 1.65 0.81

time (sec)

N/A 0.187 0.034 0.312 0.025 0.079 0.000 0.124 0.171 9.972

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 60 55 49 71 74 0 63 162 58

N.S.

1 1.09 1.00 0.89 1.29 1.35 0.00 1.15 2.95 1.05

time (sec)

N/A 0.311 0.011 0.473 0.031 0.081 0.000 0.135 0.174 9.589

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 38 35 34 34 41 0 34 63 31

N.S.

1 0.93 0.85 0.83 0.83 1.00 0.00 0.83 1.54 0.76

time (sec)

N/A 0.195 0.085 0.385 0.026 0.066 0.000 0.135 0.152 10.056

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 86 76 59 91 84 0 73 226 79

N.S.

1 1.13 1.00 0.78 1.20 1.11 0.00 0.96 2.97 1.04

time (sec)

N/A 0.421 0.009 0.650 0.033 0.080 0.000 0.113 0.154 10.369

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 48 43 44 44 51 0 44 83 39

N.S.

1 0.91 0.81 0.83 0.83 0.96 0.00 0.83 1.57 0.74

time (sec)

N/A 0.204 0.132 0.480 0.033 0.066 0.000 0.139 0.156 10.054

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 86 59 358 0 110 0 0 18 0

N.S.

1 1.01 0.69 4.21 0.00 1.29 0.00 0.00 0.21 0.00

time (sec)

N/A 0.414 0.130 1.486 0.000 0.099 0.000 0.000 0.161 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 46 213 0 88 0 0 18 0

N.S.

1 1.00 0.74 3.44 0.00 1.42 0.00 0.00 0.29 0.00

time (sec)

N/A 0.316 0.057 0.868 0.000 0.081 0.000 0.000 0.167 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 45 182 0 73 0 0 16 0

N.S.

1 1.00 0.78 3.14 0.00 1.26 0.00 0.00 0.28 0.00

time (sec)

N/A 0.316 0.040 0.458 0.000 0.078 0.000 0.000 0.170 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 36 133 0 51 0 0 9 33

N.S.

1 1.00 1.00 3.69 0.00 1.42 0.00 0.00 0.25 0.92

time (sec)

N/A 0.230 0.026 0.366 0.000 0.082 0.000 0.000 0.172 0.094

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 36 36 133 0 57 0 0 18 0

N.S.

1 1.00 1.00 3.69 0.00 1.58 0.00 0.00 0.50 0.00

time (sec)

N/A 0.237 0.033 0.992 0.000 0.077 0.000 0.000 0.193 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 49 179 0 68 0 0 18 0

N.S.

1 1.00 0.79 2.89 0.00 1.10 0.00 0.00 0.29 0.00

time (sec)

N/A 0.315 0.047 1.435 0.000 0.085 0.000 0.000 0.168 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

62 62 55 202 0 74 0 0 18 0

N.S.

1 1.00 0.89 3.26 0.00 1.19 0.00 0.00 0.29 0.00

time (sec)

N/A 0.312 0.060 2.691 0.000 0.085 0.000 0.000 0.175 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 90 61 199 0 87 0 0 18 0

N.S.

1 1.06 0.72 2.34 0.00 1.02 0.00 0.00 0.21 0.00

time (sec)

N/A 0.404 0.073 4.207 0.000 0.090 0.000 0.000 0.239 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 100 62 207 0 125 0 0 24 0

N.S.

1 1.02 0.63 2.11 0.00 1.28 0.00 0.00 0.24 0.00

time (sec)

N/A 0.457 0.140 3.290 0.000 0.089 0.000 0.000 0.176 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 70 51 90 0 101 0 0 24 0

N.S.

1 1.00 0.73 1.29 0.00 1.44 0.00 0.00 0.34 0.00

time (sec)

N/A 0.329 0.059 2.468 0.000 0.086 0.000 0.000 0.202 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 48 182 0 84 0 0 20 0

N.S.

1 1.00 0.73 2.76 0.00 1.27 0.00 0.00 0.30 0.00

time (sec)

N/A 0.337 0.040 1.811 0.000 0.082 0.000 0.000 0.190 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 38 77 0 57 0 0 12 35

N.S.

1 1.00 1.00 2.03 0.00 1.50 0.00 0.00 0.32 0.92

time (sec)

N/A 0.241 0.026 1.260 0.000 0.090 0.000 0.000 0.192 0.156

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 38 175 0 66 0 0 24 0

N.S.

1 1.00 1.00 4.61 0.00 1.74 0.00 0.00 0.63 0.00

time (sec)

N/A 0.239 0.032 1.181 0.000 0.078 0.000 0.000 0.183 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 59 90 0 87 0 0 24 0

N.S.

1 1.00 0.82 1.25 0.00 1.21 0.00 0.00 0.33 0.00

time (sec)

N/A 0.339 0.057 1.487 0.000 0.087 0.000 0.000 0.184 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 72 60 191 0 95 0 0 24 0

N.S.

1 1.00 0.83 2.65 0.00 1.32 0.00 0.00 0.33 0.00

time (sec)

N/A 0.339 0.061 2.451 0.000 0.109 0.000 0.000 0.202 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 108 66 104 0 100 0 0 24 0

N.S.

1 1.08 0.66 1.04 0.00 1.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.443 0.081 3.066 0.000 0.091 0.000 0.000 0.198 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 55 0 0 0 0 0 10 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.247 0.044 0.000 0.000 0.000 0.000 0.000 0.173 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 55 0 0 0 0 0 10 0

N.S.

1 1.00 1.08 0.00 0.00 0.00 0.00 0.00 0.20 0.00

time (sec)

N/A 0.250 0.029 0.000 0.000 0.000 0.000 0.000 0.169 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 53 0 0 0 0 0 10 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.245 0.028 0.000 0.000 0.000 0.000 0.000 0.199 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 53 0 0 0 0 0 10 0

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.244 0.057 0.000 0.000 0.000 0.000 0.000 0.198 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 55 0 0 0 0 0 10 0

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.249 0.059 0.000 0.000 0.000 0.000 0.000 0.182 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 55 0 0 0 0 0 10 0

N.S.

1 1.00 1.04 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.242 0.045 0.000 0.000 0.000 0.000 0.000 0.179 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 57 0 0 0 0 0 14 0

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.258 0.033 0.000 0.000 0.000 0.000 0.000 0.288 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 57 0 0 0 0 0 14 0

N.S.

1 1.00 1.06 0.00 0.00 0.00 0.00 0.00 0.26 0.00

time (sec)

N/A 0.263 0.029 0.000 0.000 0.000 0.000 0.000 0.199 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.257 0.028 0.000 0.000 0.000 0.000 0.000 0.182 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.98 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.262 0.039 0.000 0.000 0.000 0.000 0.000 0.193 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 57 0 0 0 0 0 14 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.258 0.038 0.000 0.000 0.000 0.000 0.000 0.194 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 56 57 0 0 0 0 0 14 0

N.S.

1 1.00 1.02 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.267 0.047 0.000 0.000 0.000 0.000 0.000 0.232 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 70 61 0 0 0 0 0 10 0

N.S.

1 1.00 0.87 0.00 0.00 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 0.279 0.036 0.000 0.000 0.000 0.000 0.000 0.174 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 61 0 0 0 0 0 14 0

N.S.

1 1.00 0.84 0.00 0.00 0.00 0.00 0.00 0.19 0.00

time (sec)

N/A 0.295 0.032 0.000 0.000 0.000 0.000 0.000 0.177 0.000

Problem 39

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

50 66 39 51 42 49 0 59 136 0

N.S.

1 1.32 0.78 1.02 0.84 0.98 0.00 1.18 2.72 0.00

time (sec)

N/A 0.204 0.040 2.869 0.105 0.082 0.000 0.132 0.185 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 45 33 43 30 43 0 53 98 0

N.S.

1 1.25 0.92 1.19 0.83 1.19 0.00 1.47 2.72 0.00

time (sec)

N/A 0.197 0.025 2.707 0.103 0.084 0.000 0.135 0.159 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 24 23 33 18 34 0 44 57 0

N.S.

1 1.09 1.05 1.50 0.82 1.55 0.00 2.00 2.59 0.00

time (sec)

N/A 0.183 0.013 0.316 0.105 0.080 0.000 0.115 0.163 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

3 3 14 19 3 17 0 35 17 0

N.S.

1 1.00 4.67 6.33 1.00 5.67 0.00 11.67 5.67 0.00

time (sec)

N/A 0.173 0.005 0.267 0.102 0.078 0.000 0.108 0.154 0.000

Problem 43

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 No TBD TBD TBD TBD TBD TBD

size

11 13 11 7 11 4 10 6 2 12

N.S.

1 1.18 1.00 0.64 1.00 0.36 0.91 0.55 0.18 1.09

time (sec)

N/A 0.184 0.018 0.257 0.025 0.073 0.222 0.151 0.154 0.121

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 33 28 19 25 10 27 16 12 0

N.S.

1 1.14 0.97 0.66 0.86 0.34 0.93 0.55 0.41 0.00

time (sec)

N/A 0.187 0.014 0.291 0.033 0.075 0.354 0.117 0.175 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 54 28 22 37 18 44 25 18 0

N.S.

1 1.26 0.65 0.51 0.86 0.42 1.02 0.58 0.42 0.00

time (sec)

N/A 0.194 0.018 0.336 0.028 0.078 1.370 0.116 0.155 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 75 34 28 49 24 60 34 24 0

N.S.

1 1.32 0.60 0.49 0.86 0.42 1.05 0.60 0.42 0.00

time (sec)

N/A 0.197 0.024 0.366 0.030 0.078 10.920 0.117 0.162 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

84 99 44 60 2175 65 0 79 141 0

N.S.

1 1.18 0.52 0.71 25.89 0.77 0.00 0.94 1.68 0.00

time (sec)

N/A 0.237 0.061 3.008 2.039 0.089 0.000 0.157 0.224 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 75 37 52 1111 56 0 55 103 0

N.S.

1 1.15 0.57 0.80 17.09 0.86 0.00 0.85 1.58 0.00

time (sec)

N/A 0.223 0.036 2.830 0.292 0.086 0.000 0.138 0.178 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 51 24 42 324 39 0 42 60 0

N.S.

1 1.11 0.52 0.91 7.04 0.85 0.00 0.91 1.30 0.00

time (sec)

N/A 0.205 0.025 0.318 0.149 0.090 0.000 0.139 0.190 0.000

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

25 27 16 21 38 55 0 31 20 0

N.S.

1 1.08 0.64 0.84 1.52 2.20 0.00 1.24 0.80 0.00

time (sec)

N/A 0.192 0.005 0.268 0.155 0.088 0.000 0.147 0.166 0.000

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

13 15 13 12 6 16 12 11 8 15

N.S.

1 1.15 1.00 0.92 0.46 1.23 0.92 0.85 0.62 1.15

time (sec)

N/A 0.192 0.016 0.259 0.141 0.072 0.278 0.142 0.169 11.123

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

36 45 25 24 14 24 31 19 17 0

N.S.

1 1.25 0.69 0.67 0.39 0.67 0.86 0.53 0.47 0.00

time (sec)

N/A 0.203 0.018 0.288 0.143 0.109 0.403 0.118 0.164 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 74 33 29 22 32 49 27 23 0

N.S.

1 1.35 0.60 0.53 0.40 0.58 0.89 0.49 0.42 0.00

time (sec)

N/A 0.219 0.017 0.310 0.145 0.080 1.401 0.138 0.160 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 103 39 35 28 38 66 33 29 0

N.S.

1 1.39 0.53 0.47 0.38 0.51 0.89 0.45 0.39 0.00

time (sec)

N/A 0.229 0.021 0.341 0.151 0.088 11.362 0.132 0.186 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 103 59 164 0 102 0 0 16 0

N.S.

1 0.88 0.50 1.40 0.00 0.87 0.00 0.00 0.14 0.00

time (sec)

N/A 0.609 0.084 18.677 0.000 0.091 0.000 0.000 0.157 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 71 43 68 0 74 0 0 14 0

N.S.

1 1.09 0.66 1.05 0.00 1.14 0.00 0.00 0.22 0.00

time (sec)

N/A 0.424 0.038 3.232 0.000 0.085 0.000 0.000 0.160 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 49 32 114 0 57 0 0 11 0

N.S.

1 1.17 0.76 2.71 0.00 1.36 0.00 0.00 0.26 0.00

time (sec)

N/A 0.352 0.023 1.269 0.000 0.083 0.000 0.000 0.158 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 53 31 57 0 58 0 0 16 0

N.S.

1 1.20 0.70 1.30 0.00 1.32 0.00 0.00 0.36 0.00

time (sec)

N/A 0.349 0.040 1.154 0.000 0.079 0.000 0.000 0.158 0.000

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

73 73 43 140 0 73 0 0 16 0

N.S.

1 1.00 0.59 1.92 0.00 1.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.434 0.079 4.363 0.000 0.085 0.000 0.000 0.161 0.000

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 107 59 84 0 79 0 0 16 0

N.S.

1 0.91 0.50 0.72 0.00 0.68 0.00 0.00 0.14 0.00

time (sec)

N/A 0.611 0.078 10.907 0.000 0.098 0.000 0.000 0.173 0.000

Problem 61

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

163 68 54 58 61 76 0 67 89 589

N.S.

1 0.42 0.33 0.36 0.37 0.47 0.00 0.41 0.55 3.61

time (sec)

N/A 0.268 0.155 29.658 0.107 0.089 0.000 0.138 0.162 15.774

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

117 56 42 46 43 58 0 34 65 119

N.S.

1 0.48 0.36 0.39 0.37 0.50 0.00 0.29 0.56 1.02

time (sec)

N/A 0.258 0.088 29.541 0.109 0.078 0.000 0.113 0.164 12.993

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 38 33 31 25 34 0 22 39 36

N.S.

1 0.62 0.54 0.51 0.41 0.56 0.00 0.36 0.64 0.59

time (sec)

N/A 0.254 0.027 0.304 0.107 0.076 0.000 0.151 0.256 0.572

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 14 6 13 0 6 9 6

N.S.

1 1.00 1.00 0.93 0.40 0.87 0.00 0.40 0.60 0.40

time (sec)

N/A 0.236 0.006 0.260 0.108 0.072 0.000 0.132 0.164 10.515

Problem 65

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

36 29 23 20 25 27 0 31 14 0

N.S.

1 0.81 0.64 0.56 0.69 0.75 0.00 0.86 0.39 0.00

time (sec)

N/A 0.226 0.030 0.277 0.111 0.091 0.000 0.115 0.161 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

86 62 38 39 58 43 0 0 33 0

N.S.

1 0.72 0.44 0.45 0.67 0.50 0.00 0.00 0.38 0.00

time (sec)

N/A 0.347 0.046 0.383 0.110 0.100 0.000 0.000 0.167 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

132 92 55 51 88 55 0 0 49 0

N.S.

1 0.70 0.42 0.39 0.67 0.42 0.00 0.00 0.37 0.00

time (sec)

N/A 0.490 0.082 0.657 0.108 0.086 0.000 0.000 0.172 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 81 69 0 0 0 0 0 18 0

N.S.

1 1.00 0.85 0.00 0.00 0.00 0.00 0.00 0.22 0.00

time (sec)

N/A 0.381 0.082 0.000 0.000 0.000 0.000 0.000 0.196 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

83 83 71 0 0 0 0 0 21 0

N.S.

1 1.00 0.86 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.359 0.056 0.000 0.000 0.000 0.000 0.000 0.183 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 108 69 103 0 114 0 0 21 0

N.S.

1 1.11 0.71 1.06 0.00 1.18 0.00 0.00 0.22 0.00

time (sec)

N/A 0.492 0.268 3.821 0.000 0.090 0.000 0.000 0.168 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 104 69 204 0 120 0 0 21 0

N.S.

1 1.09 0.73 2.15 0.00 1.26 0.00 0.00 0.22 0.00

time (sec)

N/A 0.480 0.196 2.875 0.000 0.113 0.000 0.000 0.174 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 74 51 87 0 98 0 0 21 0

N.S.

1 1.07 0.74 1.26 0.00 1.42 0.00 0.00 0.30 0.00

time (sec)

N/A 0.360 0.114 2.129 0.000 0.088 0.000 0.000 0.180 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 70 47 181 0 83 0 0 19 0

N.S.

1 1.11 0.75 2.87 0.00 1.32 0.00 0.00 0.30 0.00

time (sec)

N/A 0.361 0.048 1.801 0.000 0.077 0.000 0.000 0.182 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 38 77 0 57 0 0 12 35

N.S.

1 1.00 1.00 2.03 0.00 1.50 0.00 0.00 0.32 0.92

time (sec)

N/A 0.236 0.027 1.316 0.000 0.080 0.000 0.000 0.169 10.181

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 39 187 0 63 0 0 19 0

N.S.

1 1.00 1.00 4.79 0.00 1.62 0.00 0.00 0.49 0.00

time (sec)

N/A 0.296 0.033 1.271 0.000 0.082 0.000 0.000 0.203 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 76 51 93 0 84 0 0 21 0

N.S.

1 1.13 0.76 1.39 0.00 1.25 0.00 0.00 0.31 0.00

time (sec)

N/A 0.376 0.170 1.595 0.000 0.091 0.000 0.000 0.184 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 76 57 206 0 92 0 0 21 0

N.S.

1 1.09 0.81 2.94 0.00 1.31 0.00 0.00 0.30 0.00

time (sec)

N/A 0.388 0.130 2.704 0.000 0.085 0.000 0.000 0.180 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 112 63 107 0 97 0 0 21 0

N.S.

1 1.18 0.66 1.13 0.00 1.02 0.00 0.00 0.22 0.00

time (sec)

N/A 0.499 0.152 3.369 0.000 0.099 0.000 0.000 0.181 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 112 71 228 0 105 0 0 21 0

N.S.

1 1.14 0.72 2.33 0.00 1.07 0.00 0.00 0.21 0.00

time (sec)

N/A 0.491 0.265 5.662 0.000 0.086 0.000 0.000 0.244 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 108 64 104 0 117 0 0 22 0

N.S.

1 1.14 0.67 1.09 0.00 1.23 0.00 0.00 0.23 0.00

time (sec)

N/A 0.473 0.262 3.793 0.000 0.089 0.000 0.000 0.198 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 104 64 205 0 121 0 0 22 0

N.S.

1 1.06 0.65 2.09 0.00 1.23 0.00 0.00 0.22 0.00

time (sec)

N/A 0.471 0.184 2.894 0.000 0.086 0.000 0.000 0.180 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 74 49 88 0 99 0 0 22 0

N.S.

1 1.10 0.73 1.31 0.00 1.48 0.00 0.00 0.33 0.00

time (sec)

N/A 0.354 0.066 2.181 0.000 0.090 0.000 0.000 0.172 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 48 182 0 84 0 0 20 0

N.S.

1 1.00 0.73 2.76 0.00 1.27 0.00 0.00 0.30 0.00

time (sec)

N/A 0.346 0.008 1.833 0.000 0.083 0.000 0.000 0.173 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 39 78 0 57 0 0 26 0

N.S.

1 1.00 1.00 2.00 0.00 1.46 0.00 0.00 0.67 0.00

time (sec)

N/A 0.280 0.006 1.318 0.000 0.078 0.000 0.000 0.212 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 41 189 0 63 0 0 28 0

N.S.

1 1.00 1.00 4.61 0.00 1.54 0.00 0.00 0.68 0.00

time (sec)

N/A 0.279 0.019 1.196 0.000 0.086 0.000 0.000 0.200 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 76 52 95 0 85 0 0 28 0

N.S.

1 1.09 0.74 1.36 0.00 1.21 0.00 0.00 0.40 0.00

time (sec)

N/A 0.377 0.116 1.644 0.000 0.087 0.000 0.000 0.194 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 76 58 207 0 93 0 0 28 0

N.S.

1 1.06 0.81 2.88 0.00 1.29 0.00 0.00 0.39 0.00

time (sec)

N/A 0.383 0.109 2.742 0.000 0.086 0.000 0.000 0.193 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 112 64 108 0 99 0 0 28 0

N.S.

1 1.14 0.65 1.10 0.00 1.01 0.00 0.00 0.29 0.00

time (sec)

N/A 0.488 0.171 3.467 0.000 0.087 0.000 0.000 0.210 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 112 72 229 0 107 0 0 28 0

N.S.

1 1.12 0.72 2.29 0.00 1.07 0.00 0.00 0.28 0.00

time (sec)

N/A 0.495 0.311 5.826 0.000 0.087 0.000 0.000 0.209 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 108 61 106 0 121 0 0 24 0

N.S.

1 1.10 0.62 1.08 0.00 1.23 0.00 0.00 0.24 0.00

time (sec)

N/A 0.469 0.281 8.171 0.000 0.125 0.000 0.000 0.174 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 104 61 210 0 125 0 0 24 0

N.S.

1 1.07 0.63 2.16 0.00 1.29 0.00 0.00 0.25 0.00

time (sec)

N/A 0.483 0.148 4.025 0.000 0.084 0.000 0.000 0.175 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 70 51 90 0 101 0 0 24 0

N.S.

1 1.00 0.73 1.29 0.00 1.44 0.00 0.00 0.34 0.00

time (sec)

N/A 0.327 0.040 2.516 0.000 0.080 0.000 0.000 0.186 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 68 50 184 0 86 0 0 30 0

N.S.

1 1.00 0.74 2.71 0.00 1.26 0.00 0.00 0.44 0.00

time (sec)

N/A 0.362 0.013 8.410 0.000 0.103 0.000 0.000 0.199 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 41 80 0 57 0 0 32 0

N.S.

1 1.00 1.00 1.95 0.00 1.39 0.00 0.00 0.78 0.00

time (sec)

N/A 0.277 0.011 30.096 0.000 0.080 0.000 0.000 0.296 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 38 191 0 63 0 0 32 0

N.S.

1 1.00 0.93 4.66 0.00 1.54 0.00 0.00 0.78 0.00

time (sec)

N/A 0.301 0.123 104.040 0.000 0.081 0.000 0.000 0.195 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 76 54 96 0 87 0 0 32 0

N.S.

1 1.06 0.75 1.33 0.00 1.21 0.00 0.00 0.44 0.00

time (sec)

N/A 0.375 0.146 1.181 0.000 0.086 0.000 0.000 0.204 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 76 60 209 0 95 0 0 32 0

N.S.

1 1.06 0.83 2.90 0.00 1.32 0.00 0.00 0.44 0.00

time (sec)

N/A 0.379 0.125 11.629 0.000 0.088 0.000 0.000 0.194 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 112 66 110 0 103 0 0 32 0

N.S.

1 1.12 0.66 1.10 0.00 1.03 0.00 0.00 0.32 0.00

time (sec)

N/A 0.502 0.217 2.820 0.000 0.129 0.000 0.000 0.194 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

100 112 74 231 0 111 0 0 32 0

N.S.

1 1.12 0.74 2.31 0.00 1.11 0.00 0.00 0.32 0.00

time (sec)

N/A 0.487 0.360 4.918 0.000 0.089 0.000 0.000 0.201 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

98 100 62 210 0 125 0 0 24 0

N.S.

1 1.02 0.63 2.14 0.00 1.28 0.00 0.00 0.24 0.00

time (sec)

N/A 0.438 0.021 3.103 0.000 0.084 0.000 0.000 0.183 0.000