Integrals 1 to 100

Detailed conclusion table per each integral is given by the table below. The elapsed time is in seconds. For failed result it is given as F(-1) if the failure was due to timeout. It is given as F(-2) if the failure was due to an exception being raised, which could indicate a bug in the system. If the failure was due to integral not being evaluated within the time limit, then it is given as F.

In this table, the column N.S. means normalized size and is defined as \(\frac {\text {antiderivative leaf size}}{\text {optimal antiderivative leaf size}}\). To make the table fit the page, the name Mathematica was abbreviated to MMA

Problem 1

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 44 34 34 34 41 34 33 34

N.S.

1 1.00 0.98 0.76 0.76 0.76 0.91 0.76 0.73 0.76

time (sec)

N/A 0.295 0.002 0.695 0.027 0.062 0.017 0.316 0.243 0.033

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

35 35 35 29 29 29 32 29 28 29

N.S.

1 1.00 1.00 0.83 0.83 0.83 0.91 0.83 0.80 0.83

time (sec)

N/A 0.279 0.001 0.668 0.037 0.064 0.016 0.823 0.155 0.023

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 30 24 24 24 27 24 23 24

N.S.

1 1.00 1.00 0.80 0.80 0.80 0.90 0.80 0.77 0.80

time (sec)

N/A 0.285 0.002 0.201 0.045 0.061 0.014 0.321 0.153 0.020

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 19 19 19 19 19 18 19

N.S.

1 1.00 1.00 0.76 0.76 0.76 0.76 0.76 0.72 0.76

time (sec)

N/A 0.261 0.002 0.195 0.038 0.063 0.019 0.329 0.174 0.033

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 34 21 22 22 27 23 22 20

N.S.

1 1.00 1.13 0.70 0.73 0.73 0.90 0.77 0.73 0.67

time (sec)

N/A 0.276 0.013 0.734 0.036 0.067 0.029 0.323 0.150 0.035

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 39 25 26 37 24 48 39 24

N.S.

1 1.00 1.15 0.74 0.76 1.09 0.71 1.41 1.15 0.71

time (sec)

N/A 0.279 0.016 0.720 0.026 0.071 0.035 0.310 0.159 0.033

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 38 35 27 31 47 29 27 53 27

N.S.

1 1.00 0.92 0.71 0.82 1.24 0.76 0.71 1.39 0.71

time (sec)

N/A 0.298 0.036 0.721 0.026 0.073 0.046 0.358 0.150 0.039

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 44 36 28 38 52 36 29 67 34

N.S.

1 1.00 0.82 0.64 0.86 1.18 0.82 0.66 1.52 0.77

time (sec)

N/A 0.298 0.017 0.697 0.030 0.073 0.051 0.316 0.167 12.205

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

49 49 49 39 39 39 46 39 38 39

N.S.

1 1.00 1.00 0.80 0.80 0.80 0.94 0.80 0.78 0.80

time (sec)

N/A 0.330 0.002 0.875 0.030 0.066 0.018 0.308 0.154 0.035

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

40 40 40 34 34 34 37 34 33 34

N.S.

1 1.00 1.00 0.85 0.85 0.85 0.92 0.85 0.82 0.85

time (sec)

N/A 0.313 0.001 0.887 0.027 0.065 0.017 0.313 0.147 0.027

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

33 33 33 29 29 29 29 29 28 29

N.S.

1 1.00 1.00 0.88 0.88 0.88 0.88 0.88 0.85 0.88

time (sec)

N/A 0.302 0.001 0.750 0.024 0.065 0.016 0.298 0.154 0.023

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

28 28 28 24 24 24 26 24 23 24

N.S.

1 1.00 1.00 0.86 0.86 0.86 0.93 0.86 0.82 0.86

time (sec)

N/A 0.288 0.001 0.760 0.032 0.067 0.019 0.349 0.159 0.020

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 32 26 27 27 32 28 27 25

N.S.

1 1.00 0.86 0.70 0.73 0.73 0.86 0.76 0.73 0.68

time (sec)

N/A 0.297 0.014 0.924 0.030 0.069 0.036 0.340 0.161 0.025

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 44 30 31 42 34 57 44 29

N.S.

1 1.00 1.07 0.73 0.76 1.02 0.83 1.39 1.07 0.71

time (sec)

N/A 0.291 0.021 0.928 0.031 0.072 0.041 1.063 0.167 0.027

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 42 32 36 52 37 32 58 32

N.S.

1 1.00 0.93 0.71 0.80 1.16 0.82 0.71 1.29 0.71

time (sec)

N/A 0.306 0.031 0.922 0.026 0.066 0.050 0.332 0.163 0.037

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

49 49 46 32 41 62 41 32 72 37

N.S.

1 1.00 0.94 0.65 0.84 1.27 0.84 0.65 1.47 0.76

time (sec)

N/A 0.303 0.034 0.927 0.026 0.097 0.055 0.352 0.158 12.292

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 44 37 31 32 32 42 33 32 30

N.S.

1 1.00 0.84 0.70 0.73 0.73 0.95 0.75 0.73 0.68

time (sec)

N/A 0.299 0.015 0.896 0.032 0.066 0.039 0.318 0.162 0.030

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

37 37 32 26 27 27 36 28 27 25

N.S.

1 1.00 0.86 0.70 0.73 0.73 0.97 0.76 0.73 0.68

time (sec)

N/A 0.286 0.014 0.865 0.030 0.063 0.037 0.342 0.155 0.027

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 30 27 21 22 22 27 23 22 20

N.S.

1 1.00 0.90 0.70 0.73 0.73 0.90 0.77 0.73 0.67

time (sec)

N/A 0.276 0.010 0.724 0.032 0.068 0.033 0.351 0.166 0.031

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 22 16 17 17 20 18 17 15

N.S.

1 1.00 0.96 0.70 0.74 0.74 0.87 0.78 0.74 0.65

time (sec)

N/A 0.270 0.008 0.718 0.034 0.068 0.030 0.301 0.162 0.028

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 17 20 20 24 22 20 16

N.S.

1 1.00 1.00 0.65 0.77 0.77 0.92 0.85 0.77 0.62

time (sec)

N/A 0.291 0.008 0.911 0.030 0.072 0.052 0.351 0.162 0.096

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 30 25 26 37 26 43 46 22

N.S.

1 1.00 0.94 0.78 0.81 1.16 0.81 1.34 1.44 0.69

time (sec)

N/A 0.296 0.026 0.893 0.035 0.069 0.060 0.324 0.157 12.337

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 31 36 55 34 33 76 26

N.S.

1 1.00 0.81 0.72 0.84 1.28 0.79 0.77 1.77 0.60

time (sec)

N/A 0.306 0.030 0.897 0.029 0.068 0.064 0.345 0.160 12.299

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 40 36 46 75 44 38 106 36

N.S.

1 1.00 0.74 0.67 0.85 1.39 0.81 0.70 1.96 0.67

time (sec)

N/A 0.330 0.043 0.894 0.027 0.072 0.070 0.351 0.155 12.277

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 46 49 35 36 47 39 66 49 34

N.S.

1 1.00 1.07 0.76 0.78 1.02 0.85 1.43 1.07 0.74

time (sec)

N/A 0.316 0.020 0.889 0.031 0.071 0.044 0.322 0.169 0.028

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

39 39 44 30 31 42 32 57 44 29

N.S.

1 1.00 1.13 0.77 0.79 1.08 0.82 1.46 1.13 0.74

time (sec)

N/A 0.304 0.017 0.863 0.039 0.063 0.041 0.299 0.155 0.026

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 39 25 26 37 26 48 39 24

N.S.

1 1.00 1.22 0.78 0.81 1.16 0.81 1.50 1.22 0.75

time (sec)

N/A 0.291 0.015 0.767 0.028 0.070 0.041 0.294 0.160 0.032

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 26 20 21 32 17 32 34 19

N.S.

1 1.00 1.04 0.80 0.84 1.28 0.68 1.28 1.36 0.76

time (sec)

N/A 0.267 0.017 0.720 0.034 0.064 0.035 0.321 0.166 0.035

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 30 25 26 37 26 43 46 22

N.S.

1 1.00 0.94 0.78 0.81 1.16 0.81 1.34 1.44 0.69

time (sec)

N/A 0.296 0.028 0.895 0.026 0.073 0.056 0.315 0.153 0.096

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 62 36 36 55 36 40 76 27

N.S.

1 1.00 1.44 0.84 0.84 1.28 0.84 0.93 1.77 0.63

time (sec)

N/A 0.313 0.029 0.889 0.027 0.069 0.062 0.366 0.166 12.680

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 43 46 75 46 51 106 37

N.S.

1 1.00 0.87 0.80 0.85 1.39 0.85 0.94 1.96 0.69

time (sec)

N/A 0.330 0.039 0.888 0.035 0.070 0.067 0.312 0.161 0.044

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 52 48 56 95 54 60 138 48

N.S.

1 1.00 0.80 0.74 0.86 1.46 0.83 0.92 2.12 0.74

time (sec)

N/A 0.338 0.042 0.889 0.030 0.069 0.073 0.361 0.160 0.047

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 50 51 37 41 57 42 37 63 36

N.S.

1 1.00 1.02 0.74 0.82 1.14 0.84 0.74 1.26 0.72

time (sec)

N/A 0.325 0.022 0.874 0.027 0.069 0.057 0.321 0.155 12.315

Problem 34

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

45 45 46 32 36 52 37 32 58 31

N.S.

1 1.00 1.02 0.71 0.80 1.16 0.82 0.71 1.29 0.69

time (sec)

N/A 0.312 0.019 0.862 0.027 0.067 0.054 0.349 0.167 0.033

Problem 35

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 38 35 27 31 47 31 27 53 26

N.S.

1 1.00 0.92 0.71 0.82 1.24 0.82 0.71 1.39 0.68

time (sec)

N/A 0.296 0.020 0.731 0.033 0.065 0.055 0.300 0.160 0.037

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 31 26 22 28 37 24 24 48 21

N.S.

1 1.00 0.84 0.71 0.90 1.19 0.77 0.77 1.55 0.68

time (sec)

N/A 0.286 0.016 0.693 0.030 0.071 0.052 0.333 0.157 0.030

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 35 31 36 55 34 33 76 25

N.S.

1 1.00 0.81 0.72 0.84 1.28 0.79 0.77 1.77 0.58

time (sec)

N/A 0.318 0.030 0.914 0.028 0.071 0.067 0.340 0.163 0.044

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 54 47 44 46 75 44 51 106 38

N.S.

1 1.00 0.87 0.81 0.85 1.39 0.81 0.94 1.96 0.70

time (sec)

N/A 0.324 0.035 0.896 0.028 0.075 0.073 0.355 0.160 12.665

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

65 65 77 48 56 95 54 48 138 45

N.S.

1 1.00 1.18 0.74 0.86 1.46 0.83 0.74 2.12 0.69

time (sec)

N/A 0.343 0.033 0.895 0.033 0.066 0.084 0.294 0.161 12.376

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

76 76 57 53 66 115 65 55 170 55

N.S.

1 1.00 0.75 0.70 0.87 1.51 0.86 0.72 2.24 0.72

time (sec)

N/A 0.363 0.041 0.903 0.036 0.070 0.082 0.300 0.156 12.682

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 32 25 26 37 26 43 46 22

N.S.

1 1.00 1.00 0.78 0.81 1.16 0.81 1.34 1.44 0.69

time (sec)

N/A 0.291 0.019 0.905 0.035 0.070 0.056 0.305 0.167 12.619

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 38 35 55 39 70 55 38 55

N.S.

1 1.00 0.48 0.44 0.70 0.49 0.89 0.70 0.48 0.70

time (sec)

N/A 0.324 0.037 0.934 0.032 0.071 0.705 0.278 0.158 0.040

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 33 30 46 34 58 46 33 46

N.S.

1 1.00 0.50 0.45 0.70 0.52 0.88 0.70 0.50 0.70

time (sec)

N/A 0.309 0.032 0.843 0.034 0.066 0.673 0.243 0.159 0.032

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 28 25 37 29 46 37 28 37

N.S.

1 1.00 0.53 0.47 0.70 0.55 0.87 0.70 0.53 0.70

time (sec)

N/A 0.296 0.027 0.743 0.026 0.095 0.628 0.319 0.152 0.043

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 23 20 28 24 34 28 23 23

N.S.

1 1.00 0.58 0.50 0.70 0.60 0.85 0.70 0.58 0.58

time (sec)

N/A 0.273 0.024 0.746 0.035 0.067 0.505 0.272 0.161 13.050

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 73 53 39 64 51 76 67 63 48

N.S.

1 1.06 0.77 0.57 0.93 0.74 1.10 0.97 0.91 0.70

time (sec)

N/A 0.364 0.099 0.998 0.107 0.081 2.046 0.305 0.161 12.415

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

72 83 58 51 71 66 182 74 107 55

N.S.

1 1.15 0.81 0.71 0.99 0.92 2.53 1.03 1.49 0.76

time (sec)

N/A 0.398 0.161 1.006 0.112 0.074 29.430 0.300 0.166 0.081

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 97 58 51 83 75 342 77 152 63

N.S.

1 1.20 0.72 0.63 1.02 0.93 4.22 0.95 1.88 0.78

time (sec)

N/A 0.380 0.239 1.023 0.117 0.071 114.268 0.343 0.155 12.508

Problem 49

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

88 112 60 51 92 86 0 77 197 72

N.S.

1 1.27 0.68 0.58 1.05 0.98 0.00 0.88 2.24 0.82

time (sec)

N/A 0.394 0.300 1.032 0.148 0.078 0.000 0.308 0.165 0.075

Problem 50

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

108 141 65 56 110 101 0 86 253 92

N.S.

1 1.31 0.60 0.52 1.02 0.94 0.00 0.80 2.34 0.85

time (sec)

N/A 0.417 0.370 1.021 0.147 0.074 0.000 0.322 0.159 12.104

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

79 79 38 35 55 44 70 55 43 55

N.S.

1 1.00 0.48 0.44 0.70 0.56 0.89 0.70 0.54 0.70

time (sec)

N/A 0.340 0.038 1.252 0.044 0.066 0.810 0.336 0.173 0.028

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 33 30 46 39 58 46 38 46

N.S.

1 1.00 0.50 0.45 0.70 0.59 0.88 0.70 0.58 0.70

time (sec)

N/A 0.313 0.036 1.648 0.043 0.116 0.744 0.298 0.162 0.026

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 28 25 37 34 46 37 33 37

N.S.

1 1.00 0.53 0.47 0.70 0.64 0.87 0.70 0.62 0.70

time (sec)

N/A 0.300 0.028 1.018 0.027 0.068 0.730 0.300 0.166 0.043

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 23 20 28 29 34 28 28 23

N.S.

1 1.00 0.58 0.50 0.70 0.72 0.85 0.70 0.70 0.58

time (sec)

N/A 0.276 0.025 1.200 0.034 0.072 0.566 0.277 0.161 0.035

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

82 86 58 44 73 56 88 76 74 57

N.S.

1 1.05 0.71 0.54 0.89 0.68 1.07 0.93 0.90 0.70

time (sec)

N/A 0.348 0.104 1.030 0.119 0.074 2.220 0.352 0.175 12.605

Problem 56

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

89 96 63 56 80 71 196 83 118 64

N.S.

1 1.08 0.71 0.63 0.90 0.80 2.20 0.93 1.33 0.72

time (sec)

N/A 0.452 0.158 1.026 0.128 0.079 30.059 0.921 0.173 12.270

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 110 63 56 92 80 354 86 163 74

N.S.

1 1.17 0.67 0.60 0.98 0.85 3.77 0.91 1.73 0.79

time (sec)

N/A 0.491 0.246 1.073 0.108 0.088 113.630 0.335 0.163 0.070

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 38 34 55 34 70 55 33 55

N.S.

1 1.00 0.48 0.43 0.70 0.43 0.89 0.70 0.42 0.70

time (sec)

N/A 0.322 0.038 1.376 0.028 0.072 0.703 0.305 0.167 0.028

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 33 29 46 29 58 46 28 46

N.S.

1 1.00 0.50 0.44 0.70 0.44 0.88 0.70 0.42 0.70

time (sec)

N/A 0.312 0.033 1.411 0.027 0.067 0.670 0.342 0.160 0.026

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 28 24 37 24 46 37 23 37

N.S.

1 1.00 0.53 0.45 0.70 0.45 0.87 0.70 0.43 0.70

time (sec)

N/A 0.282 0.028 0.773 0.028 0.093 0.630 0.623 0.161 0.037

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 23 19 28 19 34 28 18 23

N.S.

1 1.00 0.58 0.48 0.70 0.48 0.85 0.70 0.45 0.58

time (sec)

N/A 0.277 0.023 0.757 0.027 0.070 0.453 0.272 0.162 0.031

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 58 46 34 55 46 65 58 52 37

N.S.

1 1.07 0.85 0.63 1.02 0.85 1.20 1.07 0.96 0.69

time (sec)

N/A 0.326 0.093 1.042 0.105 0.074 1.404 0.277 0.157 0.058

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 70 53 45 62 61 172 65 96 44

N.S.

1 1.15 0.87 0.74 1.02 1.00 2.82 1.07 1.57 0.72

time (sec)

N/A 0.316 0.161 1.055 0.112 0.073 28.836 0.308 0.167 12.407

Problem 64

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

68 83 53 46 74 70 0 68 141 54

N.S.

1 1.22 0.78 0.68 1.09 1.03 0.00 1.00 2.07 0.79

time (sec)

N/A 0.327 0.218 1.072 0.132 0.077 0.000 0.363 0.164 12.188

Problem 65

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

79 79 38 35 55 34 70 55 35 55

N.S.

1 1.00 0.48 0.44 0.70 0.43 0.89 0.70 0.44 0.70

time (sec)

N/A 0.325 0.048 1.036 0.032 0.089 0.940 0.280 0.169 0.031

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 33 30 46 29 58 46 30 46

N.S.

1 1.00 0.50 0.45 0.70 0.44 0.88 0.70 0.45 0.70

time (sec)

N/A 0.314 0.039 1.003 0.026 0.071 0.864 0.278 0.163 0.028

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 28 25 37 24 46 37 25 37

N.S.

1 1.00 0.53 0.47 0.70 0.45 0.87 0.70 0.47 0.70

time (sec)

N/A 0.291 0.031 0.774 0.033 0.080 0.785 0.687 0.166 0.041

Problem 68

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

40 40 23 20 28 19 34 28 20 23

N.S.

1 1.00 0.58 0.50 0.70 0.48 0.85 0.70 0.50 0.58

time (sec)

N/A 0.271 0.026 0.757 0.037 0.075 0.580 1.152 0.168 0.031

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 58 46 34 55 60 63 58 61 37

N.S.

1 1.07 0.85 0.63 1.02 1.11 1.17 1.07 1.13 0.69

time (sec)

N/A 0.335 0.119 1.016 0.106 0.076 2.020 0.321 0.166 0.069

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 70 53 41 65 71 173 68 116 46

N.S.

1 1.15 0.87 0.67 1.07 1.16 2.84 1.11 1.90 0.75

time (sec)

N/A 0.330 0.177 1.029 0.112 0.086 43.841 0.285 0.161 0.072

Problem 71

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

81 97 58 46 83 86 0 77 178 62

N.S.

1 1.20 0.72 0.57 1.02 1.06 0.00 0.95 2.20 0.77

time (sec)

N/A 0.353 0.256 1.035 0.104 0.076 0.000 0.331 0.165 12.303

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 79 38 35 51 46 70 51 42 51

N.S.

1 1.00 0.48 0.44 0.65 0.58 0.89 0.65 0.53 0.65

time (sec)

N/A 0.320 0.052 1.023 0.031 0.079 0.931 0.297 0.163 0.031

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

66 66 33 30 42 41 58 42 37 42

N.S.

1 1.00 0.50 0.45 0.64 0.62 0.88 0.64 0.56 0.64

time (sec)

N/A 0.302 0.039 0.996 0.027 0.078 0.896 0.277 0.172 0.043

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

53 53 28 25 33 36 102 33 32 39

N.S.

1 1.00 0.53 0.47 0.62 0.68 1.92 0.62 0.60 0.74

time (sec)

N/A 0.277 0.035 0.773 0.031 0.076 0.208 0.364 0.159 13.012

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 40 23 20 24 31 75 24 27 19

N.S.

1 1.00 0.58 0.50 0.60 0.78 1.88 0.60 0.68 0.48

time (sec)

N/A 0.259 0.030 0.757 0.038 0.074 0.197 0.534 0.166 12.928

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 58 48 38 51 70 65 54 116 33

N.S.

1 1.04 0.86 0.68 0.91 1.25 1.16 0.96 2.07 0.59

time (sec)

N/A 0.322 0.126 1.019 0.118 0.082 2.376 0.645 0.160 12.993

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

74 83 58 46 74 85 185 70 178 56

N.S.

1 1.12 0.78 0.62 1.00 1.15 2.50 0.95 2.41 0.76

time (sec)

N/A 0.378 0.216 1.074 0.118 0.073 44.602 0.320 0.168 0.079

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

94 110 63 51 92 100 354 82 240 72

N.S.

1 1.17 0.67 0.54 0.98 1.06 3.77 0.87 2.55 0.77

time (sec)

N/A 0.456 0.274 1.059 0.116 0.076 122.688 0.329 0.168 12.937

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

160 185 84 113 104 84 0 356 116 0

N.S.

1 1.16 0.52 0.71 0.65 0.52 0.00 2.22 0.72 0.00

time (sec)

N/A 0.421 0.382 1.077 0.109 0.078 0.000 0.394 0.170 0.000

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 158 79 108 87 79 0 275 99 0

N.S.

1 1.14 0.57 0.78 0.63 0.57 0.00 1.99 0.72 0.00

time (sec)

N/A 0.372 0.322 1.003 0.108 0.089 0.000 0.336 0.169 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 131 74 103 70 74 0 203 82 1197

N.S.

1 1.13 0.64 0.89 0.60 0.64 0.00 1.75 0.71 10.32

time (sec)

N/A 0.332 0.254 1.000 0.112 0.082 0.000 0.348 0.162 27.662

Problem 82

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

94 104 77 87 58 69 0 54 65 944

N.S.

1 1.11 0.82 0.93 0.62 0.73 0.00 0.57 0.69 10.04

time (sec)

N/A 0.308 0.485 0.984 0.113 0.091 0.000 0.506 0.174 24.594

Problem 83

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

94 104 64 99 65 83 0 71 63 0

N.S.

1 1.11 0.68 1.05 0.69 0.88 0.00 0.76 0.67 0.00

time (sec)

N/A 0.318 0.215 0.980 0.112 0.078 0.000 0.319 0.166 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

92 104 64 113 0 93 0 71 95 0

N.S.

1 1.13 0.70 1.23 0.00 1.01 0.00 0.77 1.03 0.00

time (sec)

N/A 0.314 0.206 0.970 0.000 0.077 0.000 0.333 0.167 0.000

Problem 85

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

96 99 66 127 79 103 0 71 127 0

N.S.

1 1.03 0.69 1.32 0.82 1.07 0.00 0.74 1.32 0.00

time (sec)

N/A 0.323 0.161 0.977 0.126 0.085 0.000 0.319 0.174 0.000

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 72 32 27 115 53 0 51 48 72

N.S.

1 1.07 0.48 0.40 1.72 0.79 0.00 0.76 0.72 1.07

time (sec)

N/A 0.281 0.129 0.981 0.117 0.090 0.000 0.311 0.169 0.239

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

89 99 37 32 156 63 0 64 58 90

N.S.

1 1.11 0.42 0.36 1.75 0.71 0.00 0.72 0.65 1.01

time (sec)

N/A 0.297 0.150 0.980 0.125 0.081 0.000 0.344 0.161 0.210

Problem 88

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

111 126 42 37 202 73 0 77 68 106

N.S.

1 1.14 0.38 0.33 1.82 0.66 0.00 0.69 0.61 0.95

time (sec)

N/A 0.321 0.170 0.975 0.156 0.088 0.000 0.400 0.181 0.232

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

182 212 89 118 116 89 0 446 133 0

N.S.

1 1.16 0.49 0.65 0.64 0.49 0.00 2.45 0.73 0.00

time (sec)

N/A 0.412 0.452 1.001 0.120 0.083 0.000 0.689 0.180 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

160 185 84 113 99 84 0 356 116 0

N.S.

1 1.16 0.52 0.71 0.62 0.52 0.00 2.22 0.72 0.00

time (sec)

N/A 0.379 0.386 1.005 0.122 0.118 0.000 0.367 0.164 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

138 158 79 108 87 79 0 275 99 0

N.S.

1 1.14 0.57 0.78 0.63 0.57 0.00 1.99 0.72 0.00

time (sec)

N/A 0.358 0.299 0.980 0.116 0.088 0.000 0.323 0.164 0.000

Problem 92

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

116 131 74 103 75 74 0 63 82 0

N.S.

1 1.13 0.64 0.89 0.65 0.64 0.00 0.54 0.71 0.00

time (sec)

N/A 0.338 0.260 0.958 0.119 0.077 0.000 0.329 0.162 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

116 131 77 116 154 88 0 84 74 0

N.S.

1 1.13 0.66 1.00 1.33 0.76 0.00 0.72 0.64 0.00

time (sec)

N/A 0.324 0.646 0.940 0.121 0.091 0.000 0.333 0.168 0.000

Problem 94

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

118 131 69 130 154 98 0 83 106 0

N.S.

1 1.11 0.58 1.10 1.31 0.83 0.00 0.70 0.90 0.00

time (sec)

N/A 0.326 0.265 0.951 0.116 0.086 0.000 0.344 0.171 0.000

Problem 95

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

118 128 71 144 186 108 0 84 138 0

N.S.

1 1.08 0.60 1.22 1.58 0.92 0.00 0.71 1.17 0.00

time (sec)

N/A 0.322 0.235 0.954 0.123 0.111 0.000 0.333 0.168 0.000

Problem 96

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

118 126 71 158 237 118 0 84 170 0

N.S.

1 1.07 0.60 1.34 2.01 1.00 0.00 0.71 1.44 0.00

time (sec)

N/A 0.330 0.184 0.968 0.131 0.079 0.000 0.342 0.165 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

67 72 32 27 278 63 0 51 58 90

N.S.

1 1.07 0.48 0.40 4.15 0.94 0.00 0.76 0.87 1.34

time (sec)

N/A 0.274 0.152 1.025 0.113 0.084 0.000 0.333 0.164 0.231

Problem 98

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

89 99 37 32 340 73 0 64 68 106

N.S.

1 1.11 0.42 0.36 3.82 0.82 0.00 0.72 0.76 1.19

time (sec)

N/A 0.298 0.172 1.022 0.148 0.081 0.000 0.368 0.161 12.563

Problem 99

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

111 126 42 37 406 83 0 77 78 124

N.S.

1 1.14 0.38 0.33 3.66 0.75 0.00 0.69 0.70 1.12

time (sec)

N/A 0.324 0.211 0.988 0.126 0.091 0.000 0.370 0.166 12.606

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

204 239 94 123 128 94 0 545 150 0

N.S.

1 1.17 0.46 0.60 0.63 0.46 0.00 2.67 0.74 0.00

time (sec)

N/A 0.435 0.482 1.041 0.115 0.089 0.000 0.389 0.171 0.000