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 B F F(-2) F(-1) F F B

verified

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

size

25 25 25 1322 0 0 0 0 11 826

N.S.

1 1.00 1.00 52.88 0.00 0.00 0.00 0.00 0.44 33.04

time (sec)

N/A 0.176 0.003 0.026 0.000 0.000 0.000 0.000 0.283 2.509

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 46 0 0 54 0 11 44

N.S.

1 1.00 1.00 1.84 0.00 0.00 2.16 0.00 0.44 1.76

time (sec)

N/A 0.178 0.002 0.720 0.000 0.000 0.306 0.000 0.188 0.043

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 34 0 0 39 0 9 35

N.S.

1 1.00 1.00 1.36 0.00 0.00 1.56 0.00 0.36 1.40

time (sec)

N/A 0.173 0.002 0.429 0.000 0.000 0.228 0.000 0.201 0.017

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 19 19 10 0 19 0 7 17

N.S.

1 1.00 1.00 1.00 0.53 0.00 1.00 0.00 0.37 0.89

time (sec)

N/A 0.160 0.007 0.289 0.030 0.000 0.169 0.000 0.212 0.047

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 66 56 0 0 24 0 11 10

N.S.

1 1.00 2.06 1.75 0.00 0.00 0.75 0.00 0.34 0.31

time (sec)

N/A 0.186 0.091 0.223 0.000 0.000 0.417 0.000 0.203 0.096

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 27 0 0 20 0 11 26

N.S.

1 1.00 1.00 1.50 0.00 0.00 1.11 0.00 0.61 1.44

time (sec)

N/A 0.186 0.003 0.638 0.000 0.000 0.187 0.000 0.186 0.019

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 40 0 0 41 0 11 17

N.S.

1 1.00 1.00 1.60 0.00 0.00 1.64 0.00 0.44 0.68

time (sec)

N/A 0.184 0.003 0.647 0.000 0.000 0.246 0.000 0.216 0.018

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 54 0 0 54 0 11 17

N.S.

1 1.00 1.00 2.16 0.00 0.00 2.16 0.00 0.44 0.68

time (sec)

N/A 0.187 0.003 0.695 0.000 0.000 0.303 0.000 0.252 0.016

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

52 64 32 32 31 31 37 31 33 31

N.S.

1 1.23 0.62 0.62 0.60 0.60 0.71 0.60 0.63 0.60

time (sec)

N/A 0.274 0.018 0.149 0.036 0.101 0.052 0.112 0.208 0.043

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

38 44 24 24 23 23 29 23 25 23

N.S.

1 1.16 0.63 0.63 0.61 0.61 0.76 0.61 0.66 0.61

time (sec)

N/A 0.227 0.017 0.111 0.043 0.095 0.046 0.110 0.204 0.017

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

24 24 16 16 15 15 20 15 17 15

N.S.

1 1.00 0.67 0.67 0.62 0.62 0.83 0.62 0.71 0.62

time (sec)

N/A 0.176 0.014 0.116 0.035 0.094 0.041 0.107 0.201 0.039

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

11 11 11 11 10 10 10 10 12 10

N.S.

1 1.00 1.00 1.00 0.91 0.91 0.91 0.91 1.09 0.91

time (sec)

N/A 0.145 0.008 0.094 0.039 0.080 0.036 0.108 0.228 0.038

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

5 5 5 8 5 5 8 5 5 6

N.S.

1 1.00 1.00 1.60 1.00 1.00 1.60 1.00 1.00 1.20

time (sec)

N/A 0.153 0.012 0.216 0.084 0.078 0.378 0.110 0.200 0.013

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 19 8 19 20 19 27 17

N.S.

1 1.00 1.00 0.95 0.40 0.95 1.00 0.95 1.35 0.85

time (sec)

N/A 0.186 0.025 0.271 0.083 0.074 0.573 0.114 0.210 0.046

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 39 36 33 10 29 36 33 34 36

N.S.

1 0.98 0.90 0.82 0.25 0.72 0.90 0.82 0.85 0.90

time (sec)

N/A 0.223 0.020 0.267 0.079 0.091 0.851 0.119 0.263 0.042

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 58 43 46 10 37 49 46 43 45

N.S.

1 1.04 0.77 0.82 0.18 0.66 0.88 0.82 0.77 0.80

time (sec)

N/A 0.270 0.021 0.282 0.091 0.081 1.223 0.108 0.208 0.041

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 816 0 838 877 0 817 814

N.S.

1 1.00 1.00 32.64 0.00 33.52 35.08 0.00 32.68 32.56

time (sec)

N/A 0.177 0.003 75.899 0.000 0.148 0.497 0.000 0.192 2.606

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 32 0 54 44 0 33 31

N.S.

1 1.00 1.00 1.28 0.00 2.16 1.76 0.00 1.32 1.24

time (sec)

N/A 0.187 0.003 0.211 0.000 0.082 0.052 0.000 0.184 0.044

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 24 0 46 36 0 25 23

N.S.

1 1.00 1.00 0.96 0.00 1.84 1.44 0.00 1.00 0.92

time (sec)

N/A 0.179 0.002 0.152 0.000 0.105 0.059 0.000 0.246 0.059

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 30 16 20 33 20 0 17 15

N.S.

1 1.00 1.67 0.89 1.11 1.83 1.11 0.00 0.94 0.83

time (sec)

N/A 0.175 0.011 0.145 0.059 0.081 0.044 0.000 0.220 0.032

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

14 14 41 16 0 0 19 0 21 13

N.S.

1 1.00 2.93 1.14 0.00 0.00 1.36 0.00 1.50 0.93

time (sec)

N/A 0.212 0.014 0.214 0.000 0.000 1.827 0.000 0.210 0.039

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 19 11 0 20 8 0 12 10

N.S.

1 1.00 1.00 0.58 0.00 1.05 0.42 0.00 0.63 0.53

time (sec)

N/A 0.179 0.005 0.261 0.000 0.102 0.045 0.000 0.213 0.048

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 33 0 23 17 0 36 33

N.S.

1 1.00 1.00 1.32 0.00 0.92 0.68 0.00 1.44 1.32

time (sec)

N/A 0.184 0.003 0.288 0.000 0.094 0.399 0.000 0.227 0.066

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 46 0 37 19 0 42 46

N.S.

1 1.00 1.00 1.84 0.00 1.48 0.76 0.00 1.68 1.84

time (sec)

N/A 0.254 0.003 0.306 0.000 0.119 0.413 0.000 0.194 0.066

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 824 0 846 896 0 825 821

N.S.

1 1.00 1.00 32.96 0.00 33.84 35.84 0.00 33.00 32.84

time (sec)

N/A 0.270 0.003 81.734 0.000 0.098 0.607 0.000 0.203 2.606

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 40 0 62 63 0 41 39

N.S.

1 1.00 1.00 1.60 0.00 2.48 2.52 0.00 1.64 1.56

time (sec)

N/A 0.301 0.003 0.232 0.000 0.083 0.063 0.000 0.236 0.047

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 32 0 54 53 0 33 31

N.S.

1 1.00 1.00 1.28 0.00 2.16 2.12 0.00 1.32 1.24

time (sec)

N/A 0.286 0.002 0.195 0.000 0.085 0.052 0.000 0.186 0.073

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 38 24 20 41 37 0 25 23

N.S.

1 1.00 2.11 1.33 1.11 2.28 2.06 0.00 1.39 1.28

time (sec)

N/A 0.278 0.011 0.218 0.050 0.077 0.071 0.000 0.187 0.037

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 24 56 25 0 0 22 0 26 24

N.S.

1 1.04 2.43 1.09 0.00 0.00 0.96 0.00 1.13 1.04

time (sec)

N/A 0.443 0.018 0.231 0.000 0.000 3.045 0.000 0.213 0.054

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 16 0 29 12 0 17 15

N.S.

1 1.00 1.00 0.89 0.00 1.61 0.67 0.00 0.94 0.83

time (sec)

N/A 0.308 0.003 0.274 0.000 0.082 0.060 0.000 0.253 0.036

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 16 0 25 14 0 17 15

N.S.

1 1.00 1.00 0.62 0.00 0.96 0.54 0.00 0.65 0.58

time (sec)

N/A 0.318 0.007 0.346 0.000 0.073 0.063 0.000 0.201 0.053

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 46 0 23 32 0 44 46

N.S.

1 1.00 1.00 1.84 0.00 0.92 1.28 0.00 1.76 1.84

time (sec)

N/A 0.311 0.003 0.358 0.000 0.086 0.628 0.000 0.209 0.044

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 866 0 814 0 0 15 822

N.S.

1 1.00 1.00 34.64 0.00 32.56 0.00 0.00 0.60 32.88

time (sec)

N/A 0.200 0.003 0.068 0.000 0.111 0.000 0.000 0.241 2.341

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 84 0 38 73 0 15 46

N.S.

1 1.00 1.00 3.36 0.00 1.52 2.92 0.00 0.60 1.84

time (sec)

N/A 0.242 0.003 0.221 0.000 0.085 2.982 0.000 0.208 0.019

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 76 0 30 60 0 13 37

N.S.

1 1.00 1.00 3.04 0.00 1.20 2.40 0.00 0.52 1.48

time (sec)

N/A 0.189 0.002 0.223 0.000 0.077 1.678 0.000 0.183 0.017

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 68 0 25 46 0 11 22

N.S.

1 1.00 1.00 2.62 0.00 0.96 1.77 0.00 0.42 0.85

time (sec)

N/A 0.178 0.006 0.259 0.000 0.101 0.982 0.000 0.189 0.014

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 17 55 18 32 37 0 15 26

N.S.

1 1.00 0.94 3.06 1.00 1.78 2.06 0.00 0.83 1.44

time (sec)

N/A 0.171 0.005 0.252 0.053 0.085 0.855 0.000 0.255 0.019

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 103 77 0 0 42 0 15 14

N.S.

1 1.00 2.64 1.97 0.00 0.00 1.08 0.00 0.38 0.36

time (sec)

N/A 0.252 0.322 0.259 0.000 0.000 0.476 0.000 0.183 0.135

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 106 0 34 58 0 15 21

N.S.

1 1.00 1.00 5.89 0.00 1.89 3.22 0.00 0.83 1.17

time (sec)

N/A 0.186 0.003 0.280 0.000 0.085 0.906 0.000 0.183 0.018

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 141 0 39 78 0 15 21

N.S.

1 1.00 1.00 5.64 0.00 1.56 3.12 0.00 0.60 0.84

time (sec)

N/A 0.188 0.003 0.305 0.000 0.090 1.692 0.000 0.198 0.014

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 165 0 47 92 0 15 21

N.S.

1 1.00 1.00 6.60 0.00 1.88 3.68 0.00 0.60 0.84

time (sec)

N/A 0.183 0.003 0.311 0.000 0.081 3.099 0.000 0.221 0.016

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 866 0 806 0 0 15 814

N.S.

1 1.00 1.00 34.64 0.00 32.24 0.00 0.00 0.60 32.56

time (sec)

N/A 0.184 0.003 0.064 0.000 0.120 0.000 0.000 0.190 2.371

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 84 0 30 76 0 13 37

N.S.

1 1.00 1.00 3.36 0.00 1.20 3.04 0.00 0.52 1.48

time (sec)

N/A 0.184 0.003 0.224 0.000 0.087 3.238 0.000 0.199 0.016

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 76 0 25 63 0 11 22

N.S.

1 1.00 1.00 2.92 0.00 0.96 2.42 0.00 0.42 0.85

time (sec)

N/A 0.185 0.006 0.217 0.000 0.096 1.932 0.000 0.234 0.014

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 82 0 43 63 0 15 17

N.S.

1 1.00 1.00 3.28 0.00 1.72 2.52 0.00 0.60 0.68

time (sec)

N/A 0.179 0.002 0.253 0.000 0.103 1.338 0.000 0.207 0.018

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 32 98 20 37 60 0 15 21

N.S.

1 1.00 1.78 5.44 1.11 2.06 3.33 0.00 0.83 1.17

time (sec)

N/A 0.174 0.013 0.247 0.058 0.104 0.957 0.000 0.193 0.018

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 51 121 85 0 0 61 0 15 14

N.S.

1 0.93 2.20 1.55 0.00 0.00 1.11 0.00 0.27 0.25

time (sec)

N/A 0.359 0.507 0.243 0.000 0.000 0.648 0.000 0.186 1.184

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 135 0 38 80 0 15 21

N.S.

1 1.00 1.00 7.50 0.00 2.11 4.44 0.00 0.83 1.17

time (sec)

N/A 0.180 0.003 0.286 0.000 0.081 1.357 0.000 0.255 0.018

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 165 0 43 99 0 15 21

N.S.

1 1.00 1.00 6.60 0.00 1.72 3.96 0.00 0.60 0.84

time (sec)

N/A 0.182 0.003 0.300 0.000 0.091 2.628 0.000 0.190 0.013

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 189 0 51 112 0 15 21

N.S.

1 1.00 1.00 7.56 0.00 2.04 4.48 0.00 0.60 0.84

time (sec)

N/A 0.185 0.003 0.295 0.000 0.089 4.936 0.000 0.197 0.014

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 866 0 798 0 0 15 805

N.S.

1 1.00 1.00 34.64 0.00 31.92 0.00 0.00 0.60 32.20

time (sec)

N/A 0.175 0.003 0.073 0.000 0.102 0.000 0.000 0.229 2.387

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 84 0 25 76 0 11 22

N.S.

1 1.00 1.00 3.23 0.00 0.96 2.92 0.00 0.42 0.85

time (sec)

N/A 0.179 0.006 0.263 0.000 0.098 3.956 0.000 0.226 0.019

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 90 0 51 76 0 15 17

N.S.

1 1.00 1.00 3.60 0.00 2.04 3.04 0.00 0.60 0.68

time (sec)

N/A 0.178 0.003 0.271 0.000 0.086 2.744 0.000 0.196 0.016

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 131 0 43 76 0 15 21

N.S.

1 1.00 1.00 5.24 0.00 1.72 3.04 0.00 0.60 0.84

time (sec)

N/A 0.168 0.002 0.309 0.000 0.081 1.946 0.000 0.198 0.013

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 40 127 20 37 76 0 15 21

N.S.

1 1.00 2.22 7.06 1.11 2.06 4.22 0.00 0.83 1.17

time (sec)

N/A 0.166 0.018 0.271 0.058 0.086 1.461 0.000 0.225 0.054

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

64 67 145 94 0 0 71 0 15 14

N.S.

1 1.05 2.27 1.47 0.00 0.00 1.11 0.00 0.23 0.22

time (sec)

N/A 0.383 0.475 0.270 0.000 0.000 1.218 0.000 0.193 0.137

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

18 18 18 159 0 38 94 0 15 21

N.S.

1 1.00 1.00 8.83 0.00 2.11 5.22 0.00 0.83 1.17

time (sec)

N/A 0.180 0.003 0.305 0.000 0.079 2.248 0.000 0.184 0.019

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 189 0 43 114 0 15 21

N.S.

1 1.00 1.00 7.56 0.00 1.72 4.56 0.00 0.60 0.84

time (sec)

N/A 0.191 0.002 0.317 0.000 0.093 4.508 0.000 0.185 0.014

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 213 0 51 128 0 15 21

N.S.

1 1.00 1.00 8.52 0.00 2.04 5.12 0.00 0.60 0.84

time (sec)

N/A 0.187 0.003 0.339 0.000 0.100 9.173 0.000 0.243 0.016

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 1346 755 848 0 1362 1266 0

N.S.

1 1.00 1.00 46.41 26.03 29.24 0.00 46.97 43.66 0.00

time (sec)

N/A 0.185 0.003 0.187 0.038 0.512 0.000 0.124 2.591 0.000

Problem 61

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

29 29 29 72 69 64 110 88 90 0

N.S.

1 1.00 1.00 2.48 2.38 2.21 3.79 3.03 3.10 0.00

time (sec)

N/A 0.185 0.003 0.127 0.041 0.116 0.614 0.122 0.241 0.000

Problem 62

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

29 29 29 58 62 56 83 75 78 0

N.S.

1 1.00 1.00 2.00 2.14 1.93 2.86 2.59 2.69 0.00

time (sec)

N/A 0.180 0.003 0.121 0.047 0.116 0.379 0.110 0.221 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 50 43 46 42 46 53 61 47

N.S.

1 1.00 2.27 1.95 2.09 1.91 2.09 2.41 2.77 2.14

time (sec)

N/A 0.178 0.041 0.104 0.043 0.117 0.242 0.117 0.192 0.176

Problem 64

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

37 37 56 0 0 0 0 0 20 0

N.S.

1 1.00 1.51 0.00 0.00 0.00 0.00 0.00 0.54 0.00

time (sec)

N/A 0.192 0.057 0.000 0.000 0.000 0.000 0.000 0.199 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 22 44 29 38 46 0 58 0

N.S.

1 1.00 1.00 2.00 1.32 1.73 2.09 0.00 2.64 0.00

time (sec)

N/A 0.191 0.003 0.132 0.075 0.107 0.274 0.000 0.238 0.000

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 59 32 49 78 0 71 0

N.S.

1 1.00 1.00 2.03 1.10 1.69 2.69 0.00 2.45 0.00

time (sec)

N/A 0.191 0.003 0.150 0.089 0.112 0.429 0.000 0.207 0.000

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 72 32 57 107 0 90 0

N.S.

1 1.00 1.00 2.48 1.10 1.97 3.69 0.00 3.10 0.00

time (sec)

N/A 0.195 0.003 0.131 0.093 0.124 0.687 0.000 0.207 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 2679 0 848 0 2693 0 0

N.S.

1 1.00 1.00 92.38 0.00 29.24 0.00 92.86 0.00 0.00

time (sec)

N/A 0.191 0.003 0.796 0.000 0.477 0.000 0.141 2.700 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 71 0 64 107 145 114 0

N.S.

1 1.00 1.00 2.45 0.00 2.21 3.69 5.00 3.93 0.00

time (sec)

N/A 0.186 0.002 0.325 0.000 0.122 1.027 0.120 0.204 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 59 0 56 85 119 102 0

N.S.

1 1.00 1.00 2.03 0.00 1.93 2.93 4.10 3.52 0.00

time (sec)

N/A 0.174 0.003 0.244 0.000 0.121 0.598 0.120 0.185 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 54 43 0 42 83 82 85 77

N.S.

1 1.00 2.45 1.95 0.00 1.91 3.77 3.73 3.86 3.50

time (sec)

N/A 0.176 0.071 0.117 0.000 0.110 0.758 0.111 0.231 0.272

Problem 72

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

42 42 78 0 0 0 0 0 29 0

N.S.

1 1.00 1.86 0.00 0.00 0.00 0.00 0.00 0.69 0.00

time (sec)

N/A 0.179 0.227 0.000 0.000 0.000 0.000 0.000 0.223 0.000

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 22 50 0 37 44 0 84 0

N.S.

1 1.00 1.00 2.27 0.00 1.68 2.00 0.00 3.82 0.00

time (sec)

N/A 0.252 0.002 0.218 0.000 0.110 0.276 0.000 0.234 0.000

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 70 0 49 66 0 79 0

N.S.

1 1.00 1.00 2.41 0.00 1.69 2.28 0.00 2.72 0.00

time (sec)

N/A 0.293 0.003 0.293 0.000 0.114 0.429 0.000 0.217 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 86 0 57 95 0 90 0

N.S.

1 1.00 1.00 2.97 0.00 1.97 3.28 0.00 3.10 0.00

time (sec)

N/A 0.301 0.003 0.368 0.000 0.107 0.751 0.000 0.206 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 39 228 0 100 185 0 135 0

N.S.

1 1.00 0.76 4.47 0.00 1.96 3.63 0.00 2.65 0.00

time (sec)

N/A 0.345 0.014 0.721 0.000 0.096 3.008 0.000 0.196 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 39 133 0 74 116 0 82 0

N.S.

1 1.00 0.76 2.61 0.00 1.45 2.27 0.00 1.61 0.00

time (sec)

N/A 0.358 0.013 0.444 0.000 0.099 2.058 0.000 0.188 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 39 19 21 54 0 43 0

N.S.

1 1.00 1.00 1.62 0.79 0.88 2.25 0.00 1.79 0.00

time (sec)

N/A 0.283 0.013 0.339 0.055 0.088 0.430 0.000 0.246 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 39 86 0 0 2358 0 15 12

N.S.

1 1.00 0.76 1.69 0.00 0.00 46.24 0.00 0.29 0.24

time (sec)

N/A 0.336 0.013 0.149 0.000 0.000 1.336 0.000 0.215 0.054

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 49 37 97 0 52 4357 0 21 19

N.S.

1 1.00 0.76 1.98 0.00 1.06 88.92 0.00 0.43 0.39

time (sec)

N/A 0.350 0.013 0.139 0.000 0.095 1.286 0.000 0.217 0.079

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

51 51 39 116 0 82 8162 0 21 19

N.S.

1 1.00 0.76 2.27 0.00 1.61 160.04 0.00 0.41 0.37

time (sec)

N/A 0.320 0.012 0.162 0.000 0.117 2.428 0.000 0.212 0.124

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 28 24 61 0 40 0 0 9 0

N.S.

1 1.00 0.86 2.18 0.00 1.43 0.00 0.00 0.32 0.00

time (sec)

N/A 0.197 0.028 0.165 0.000 0.093 0.000 0.000 0.194 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 38 81 0 62 0 0 11 0

N.S.

1 1.00 0.84 1.80 0.00 1.38 0.00 0.00 0.24 0.00

time (sec)

N/A 0.248 0.011 0.155 0.000 0.103 0.000 0.000 0.213 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 34 72 0 56 0 0 13 0

N.S.

1 1.00 0.79 1.67 0.00 1.30 0.00 0.00 0.30 0.00

time (sec)

N/A 0.203 0.028 0.135 0.000 0.095 0.000 0.000 0.209 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

52 52 40 91 0 83 0 0 15 0

N.S.

1 1.00 0.77 1.75 0.00 1.60 0.00 0.00 0.29 0.00

time (sec)

N/A 0.208 0.010 0.142 0.000 0.099 0.000 0.000 0.237 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 64 0 41441 0 0 11 0

N.S.

1 1.00 1.00 2.37 0.00 1534.85 0.00 0.00 0.41 0.00

time (sec)

N/A 0.191 0.003 0.109 0.000 3.028 0.000 0.000 0.212 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 64 0 85 0 0 11 0

N.S.

1 1.00 1.00 2.37 0.00 3.15 0.00 0.00 0.41 0.00

time (sec)

N/A 0.190 0.003 0.294 0.000 0.095 0.000 0.000 0.197 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 64 0 57 0 0 9 0

N.S.

1 1.00 1.00 2.37 0.00 2.11 0.00 0.00 0.33 0.00

time (sec)

N/A 0.180 0.002 0.244 0.000 0.100 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 A A F F F F(-1)

verified

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

size

20 20 20 106 22 35 0 0 7 0

N.S.

1 1.00 1.00 5.30 1.10 1.75 0.00 0.00 0.35 0.00

time (sec)

N/A 0.181 0.021 0.242 0.072 0.115 0.000 0.000 0.227 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 41 61 0 0 0 0 11 0

N.S.

1 1.00 1.32 1.97 0.00 0.00 0.00 0.00 0.35 0.00

time (sec)

N/A 0.191 0.084 0.143 0.000 0.000 0.000 0.000 0.199 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 148 0 41 0 0 11 0

N.S.

1 1.00 1.00 7.40 0.00 2.05 0.00 0.00 0.55 0.00

time (sec)

N/A 0.179 0.003 0.319 0.000 0.117 0.000 0.000 0.203 0.000

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 79 0 70 0 0 11 0

N.S.

1 1.00 1.00 2.93 0.00 2.59 0.00 0.00 0.41 0.00

time (sec)

N/A 0.184 0.003 0.398 0.000 0.111 0.000 0.000 0.256 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

27 27 27 79 0 101 0 0 11 0

N.S.

1 1.00 1.00 2.93 0.00 3.74 0.00 0.00 0.41 0.00

time (sec)

N/A 0.185 0.003 0.634 0.000 0.114 0.000 0.000 0.208 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 54 0 26081 0 0 11 0

N.S.

1 1.00 1.00 2.25 0.00 1086.71 0.00 0.00 0.46 0.00

time (sec)

N/A 0.188 0.003 0.092 0.000 2.635 0.000 0.000 0.189 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 54 0 62 0 0 11 0

N.S.

1 1.00 1.00 2.25 0.00 2.58 0.00 0.00 0.46 0.00

time (sec)

N/A 0.179 0.003 0.304 0.000 0.094 0.000 0.000 0.228 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 54 0 42 0 0 9 0

N.S.

1 1.00 1.00 2.25 0.00 1.75 0.00 0.00 0.38 0.00

time (sec)

N/A 0.176 0.002 0.280 0.000 0.092 0.000 0.000 0.222 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 19 97 17 27 0 0 7 0

N.S.

1 1.00 1.00 5.11 0.89 1.42 0.00 0.00 0.37 0.00

time (sec)

N/A 0.165 0.008 0.250 0.051 0.112 0.000 0.000 0.199 0.000

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 43 60 0 0 0 0 11 0

N.S.

1 1.00 1.39 1.94 0.00 0.00 0.00 0.00 0.35 0.00

time (sec)

N/A 0.183 0.069 0.134 0.000 0.000 0.000 0.000 0.200 0.000

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 133 0 37 0 0 11 0

N.S.

1 1.00 1.00 6.65 0.00 1.85 0.00 0.00 0.55 0.00

time (sec)

N/A 0.179 0.003 0.322 0.000 0.101 0.000 0.000 0.256 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 22 69 0 59 0 0 11 0

N.S.

1 1.00 1.00 3.14 0.00 2.68 0.00 0.00 0.50 0.00

time (sec)

N/A 0.180 0.003 0.424 0.000 0.093 0.000 0.000 0.202 0.000