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

11 11 22 12 11 11 14 11 11 11

N.S.

1 1.00 2.00 1.09 1.00 1.00 1.27 1.00 1.00 1.00

time (sec)

N/A 0.257 0.011 2.368 0.032 0.073 0.054 0.112 0.197 0.021

Problem 2

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

25 25 23 19 24 23 46 18 23 18

N.S.

1 1.00 0.92 0.76 0.96 0.92 1.84 0.72 0.92 0.72

time (sec)

N/A 0.277 0.037 3.589 0.026 0.099 0.080 0.120 0.257 25.500

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

27 24 29 22 22 22 37 25 31 24

N.S.

1 0.89 1.07 0.81 0.81 0.81 1.37 0.93 1.15 0.89

time (sec)

N/A 0.296 0.025 6.322 0.027 0.088 0.103 0.118 0.169 0.043

Problem 4

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

46 51 33 31 33 36 95 32 40 50

N.S.

1 1.11 0.72 0.67 0.72 0.78 2.07 0.70 0.87 1.09

time (sec)

N/A 0.378 0.062 6.619 0.032 0.075 0.155 0.129 0.151 25.438

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

42 36 44 32 34 34 60 38 47 32

N.S.

1 0.86 1.05 0.76 0.81 0.81 1.43 0.90 1.12 0.76

time (sec)

N/A 0.312 0.029 8.895 0.030 0.082 0.209 0.119 0.168 0.056

Problem 6

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

67 77 45 44 48 47 139 46 56 43

N.S.

1 1.15 0.67 0.66 0.72 0.70 2.07 0.69 0.84 0.64

time (sec)

N/A 0.515 0.066 9.667 0.032 0.095 0.327 0.123 0.152 25.486

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

54 46 59 42 44 44 80 50 63 43

N.S.

1 0.85 1.09 0.78 0.81 0.81 1.48 0.93 1.17 0.80

time (sec)

N/A 0.348 0.025 12.771 0.038 0.084 0.443 0.120 0.149 0.064

Problem 8

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

88 103 55 55 59 56 184 60 72 90

N.S.

1 1.17 0.62 0.62 0.67 0.64 2.09 0.68 0.82 1.02

time (sec)

N/A 0.678 0.080 14.104 0.028 0.099 0.640 0.118 0.171 26.514

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

60 65 45 84 0 66 0 0 14 34

N.S.

1 1.08 0.75 1.40 0.00 1.10 0.00 0.00 0.23 0.57

time (sec)

N/A 0.475 0.098 2.428 0.000 0.120 0.000 0.000 0.163 25.386

Problem 10

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

41 41 35 118 0 61 0 0 14 34

N.S.

1 1.00 0.85 2.88 0.00 1.49 0.00 0.00 0.34 0.83

time (sec)

N/A 0.367 0.058 2.175 0.000 0.109 0.000 0.000 0.149 25.278

Problem 11

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

41 41 33 72 0 55 0 0 12 34

N.S.

1 1.00 0.80 1.76 0.00 1.34 0.00 0.00 0.29 0.83

time (sec)

N/A 0.359 0.052 2.020 0.000 0.103 0.000 0.000 0.165 25.345

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

19 19 21 77 0 50 0 0 7 15

N.S.

1 1.00 1.11 4.05 0.00 2.63 0.00 0.00 0.37 0.79

time (sec)

N/A 0.271 0.037 2.988 0.000 0.088 0.000 0.000 0.232 25.253

Problem 13

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

19 19 21 57 0 42 0 0 14 15

N.S.

1 1.00 1.11 3.00 0.00 2.21 0.00 0.00 0.74 0.79

time (sec)

N/A 0.273 0.039 1.744 0.000 0.085 0.000 0.000 0.253 25.448

Problem 14

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

37 37 32 110 0 75 0 0 14 34

N.S.

1 1.00 0.86 2.97 0.00 2.03 0.00 0.00 0.38 0.92

time (sec)

N/A 0.369 0.076 2.341 0.000 0.103 0.000 0.000 0.151 25.423

Problem 15

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

41 41 33 72 0 80 0 0 14 34

N.S.

1 1.00 0.80 1.76 0.00 1.95 0.00 0.00 0.34 0.83

time (sec)

N/A 0.365 0.069 2.020 0.000 0.089 0.000 0.000 0.158 25.510

Problem 16

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

60 61 51 132 0 117 0 0 14 34

N.S.

1 1.02 0.85 2.20 0.00 1.95 0.00 0.00 0.23 0.57

time (sec)

N/A 0.468 0.070 2.125 0.000 0.100 0.000 0.000 0.174 25.527

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 75 55 104 0 80 0 0 18 42

N.S.

1 1.07 0.79 1.49 0.00 1.14 0.00 0.00 0.26 0.60

time (sec)

N/A 0.501 0.134 2.484 0.000 0.095 0.000 0.000 0.150 25.506

Problem 18

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

47 47 44 142 0 73 0 0 18 42

N.S.

1 1.00 0.94 3.02 0.00 1.55 0.00 0.00 0.38 0.89

time (sec)

N/A 0.396 0.099 2.377 0.000 0.086 0.000 0.000 0.158 25.462

Problem 19

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

47 47 40 88 0 67 0 0 16 42

N.S.

1 1.00 0.85 1.87 0.00 1.43 0.00 0.00 0.34 0.89

time (sec)

N/A 0.389 0.044 2.281 0.000 0.140 0.000 0.000 0.163 25.479

Problem 20

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

21 21 24 91 0 58 0 0 9 18

N.S.

1 1.00 1.14 4.33 0.00 2.76 0.00 0.00 0.43 0.86

time (sec)

N/A 0.281 0.016 2.746 0.000 0.101 0.000 0.000 0.152 25.339

Problem 21

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

21 21 24 69 0 50 0 0 18 18

N.S.

1 1.00 1.14 3.29 0.00 2.38 0.00 0.00 0.86 0.86

time (sec)

N/A 0.281 0.024 1.735 0.000 0.087 0.000 0.000 0.179 25.351

Problem 22

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

43 43 39 132 0 93 0 0 18 42

N.S.

1 1.00 0.91 3.07 0.00 2.16 0.00 0.00 0.42 0.98

time (sec)

N/A 0.383 0.094 2.306 0.000 0.101 0.000 0.000 0.225 25.571

Problem 23

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

47 47 43 88 0 98 0 0 18 42

N.S.

1 1.00 0.91 1.87 0.00 2.09 0.00 0.00 0.38 0.89

time (sec)

N/A 0.382 0.127 2.203 0.000 0.104 0.000 0.000 0.159 26.146

Problem 24

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

70 71 55 160 0 143 0 0 18 42

N.S.

1 1.01 0.79 2.29 0.00 2.04 0.00 0.00 0.26 0.60

time (sec)

N/A 0.516 0.347 2.265 0.000 0.093 0.000 0.000 0.165 26.341

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 109 80 108 0 98 0 0 24 0

N.S.

1 1.06 0.78 1.05 0.00 0.95 0.00 0.00 0.23 0.00

time (sec)

N/A 0.717 0.209 3.659 0.000 0.095 0.000 0.000 0.156 0.000

Problem 26

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

75 75 66 152 0 94 0 0 24 0

N.S.

1 1.00 0.88 2.03 0.00 1.25 0.00 0.00 0.32 0.00

time (sec)

N/A 0.526 0.138 3.326 0.000 0.100 0.000 0.000 0.163 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

75 75 62 97 0 76 0 0 20 0

N.S.

1 1.00 0.83 1.29 0.00 1.01 0.00 0.00 0.27 0.00

time (sec)

N/A 0.530 0.076 2.941 0.000 0.111 0.000 0.000 0.157 0.000

Problem 28

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

43 43 42 98 0 62 0 0 12 36

N.S.

1 1.00 0.98 2.28 0.00 1.44 0.00 0.00 0.28 0.84

time (sec)

N/A 0.391 0.042 3.749 0.000 0.089 0.000 0.000 0.160 28.498

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 42 74 0 57 0 0 24 36

N.S.

1 1.00 0.98 1.72 0.00 1.33 0.00 0.00 0.56 0.84

time (sec)

N/A 0.390 0.047 2.260 0.000 0.103 0.000 0.000 0.166 28.657

Problem 30

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

73 73 54 141 0 102 0 0 24 0

N.S.

1 1.00 0.74 1.93 0.00 1.40 0.00 0.00 0.33 0.00

time (sec)

N/A 0.536 0.076 3.096 0.000 0.085 0.000 0.000 0.158 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

77 77 55 105 0 110 0 0 24 0

N.S.

1 1.00 0.71 1.36 0.00 1.43 0.00 0.00 0.31 0.00

time (sec)

N/A 0.516 0.103 2.971 0.000 0.100 0.000 0.000 0.245 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 109 68 168 0 155 0 0 24 0

N.S.

1 1.04 0.65 1.60 0.00 1.48 0.00 0.00 0.23 0.00

time (sec)

N/A 0.717 0.211 3.071 0.000 0.100 0.000 0.000 0.220 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

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.325 0.070 0.000 0.000 0.000 0.000 0.000 0.150 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

58 58 55 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.24 0.00

time (sec)

N/A 0.332 0.044 0.000 0.000 0.000 0.000 0.000 0.160 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

517 58 55 0 0 0 0 0 14 0

N.S.

1 0.11 0.11 0.00 0.00 0.00 0.00 0.00 0.03 0.00

time (sec)

N/A 0.320 0.044 0.000 0.000 0.000 0.000 0.000 0.175 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

252 58 55 0 0 0 0 0 14 0

N.S.

1 0.23 0.22 0.00 0.00 0.00 0.00 0.00 0.06 0.00

time (sec)

N/A 0.323 0.050 0.000 0.000 0.000 0.000 0.000 0.152 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

271 56 53 0 0 0 0 0 14 0

N.S.

1 0.21 0.20 0.00 0.00 0.00 0.00 0.00 0.05 0.00

time (sec)

N/A 0.331 0.050 0.000 0.000 0.000 0.000 0.000 0.152 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

56 56 53 0 0 0 0 0 14 0

N.S.

1 1.00 0.95 0.00 0.00 0.00 0.00 0.00 0.25 0.00

time (sec)

N/A 0.329 0.049 0.000 0.000 0.000 0.000 0.000 0.157 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

63 63 63 0 0 0 0 0 10 54

N.S.

1 1.00 1.00 0.00 0.00 0.00 0.00 0.00 0.16 0.86

time (sec)

N/A 0.337 0.058 0.000 0.000 0.000 0.000 0.000 0.150 26.192

Problem 40

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

68 68 63 0 0 0 0 0 14 0

N.S.

1 1.00 0.93 0.00 0.00 0.00 0.00 0.00 0.21 0.00

time (sec)

N/A 0.341 0.051 0.000 0.000 0.000 0.000 0.000 0.162 0.000

Problem 41

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 76 0 0 0 0 0 19 0

N.S.

1 1.00 0.94 0.00 0.00 0.00 0.00 0.00 0.23 0.00

time (sec)

N/A 0.427 0.101 0.000 0.000 0.000 0.000 0.000 0.216 0.000

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

15 15 15 14 13 13 22 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 1.47 0.87 0.87 0.87

time (sec)

N/A 0.309 0.006 4.773 0.031 0.099 0.142 0.119 0.234 0.057

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

15 15 15 14 13 13 22 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 1.47 0.87 0.87 0.87

time (sec)

N/A 0.311 0.005 4.444 0.031 0.098 0.099 0.121 0.149 0.040

Problem 44

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

15 15 37 14 13 13 20 13 13 28

N.S.

1 1.00 2.47 0.93 0.87 0.87 1.33 0.87 0.87 1.87

time (sec)

N/A 0.289 0.020 2.598 0.028 0.082 0.072 0.123 0.154 25.881

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

12 12 12 17 11 18 19 13 16 16

N.S.

1 1.00 1.00 1.42 0.92 1.50 1.58 1.08 1.33 1.33

time (sec)

N/A 0.276 0.010 0.789 0.027 0.108 0.055 0.124 0.172 25.777

Problem 46

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

10 10 10 11 12 12 15 12 10 20

N.S.

1 1.00 1.00 1.10 1.20 1.20 1.50 1.20 1.00 2.00

time (sec)

N/A 0.286 0.011 1.067 0.028 0.099 0.087 0.125 0.142 26.028

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

15 15 15 14 13 13 20 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 1.33 0.87 0.87 0.87

time (sec)

N/A 0.305 0.014 1.211 0.033 0.072 0.117 0.121 0.153 25.806

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 14 13 13 20 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 0.87 1.33 0.87 0.87 0.87

time (sec)

N/A 0.306 0.012 1.866 0.027 0.091 0.170 0.126 0.150 25.745

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 53 47 47 46 53 88 46 45 45

N.S.

1 0.87 0.77 0.77 0.75 0.87 1.44 0.75 0.74 0.74

time (sec)

N/A 0.375 0.203 17.695 0.028 0.080 0.903 0.133 0.149 25.853

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 41 37 36 36 43 66 36 35 36

N.S.

1 0.89 0.80 0.78 0.78 0.93 1.43 0.78 0.76 0.78

time (sec)

N/A 0.366 0.102 11.905 0.028 0.094 0.445 0.122 0.154 25.472

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

31 29 27 37 26 33 44 26 25 26

N.S.

1 0.94 0.87 1.19 0.84 1.06 1.42 0.84 0.81 0.84

time (sec)

N/A 0.352 0.060 9.525 0.033 0.076 0.209 0.130 0.153 0.046

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

15 15 15 14 13 21 20 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 1.40 1.33 0.87 0.87 0.87

time (sec)

N/A 0.306 0.005 4.420 0.026 0.080 0.099 0.120 0.216 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

14 14 23 15 18 17 15 21 15 14

N.S.

1 1.00 1.64 1.07 1.29 1.21 1.07 1.50 1.07 1.00

time (sec)

N/A 0.291 0.011 0.733 0.104 0.083 0.066 0.142 0.264 25.447

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 14 13 29 22 13 33 13

N.S.

1 1.00 1.00 0.93 0.87 1.93 1.47 0.87 2.20 0.87

time (sec)

N/A 0.321 0.008 1.535 0.025 0.081 0.466 0.170 0.156 25.369

Problem 55

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

31 29 56 26 26 39 0 26 55 25

N.S.

1 0.94 1.81 0.84 0.84 1.26 0.00 0.84 1.77 0.81

time (sec)

N/A 0.359 0.190 4.460 0.029 0.082 0.000 0.183 0.158 25.392

Problem 56

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

46 41 77 36 36 51 0 36 75 35

N.S.

1 0.89 1.67 0.78 0.78 1.11 0.00 0.78 1.63 0.76

time (sec)

N/A 0.371 0.156 15.566 0.043 0.090 0.000 0.211 0.168 25.397

Problem 57

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 53 98 46 46 61 0 46 95 45

N.S.

1 0.87 1.61 0.75 0.75 1.00 0.00 0.75 1.56 0.74

time (sec)

N/A 0.368 0.159 54.680 0.033 0.085 0.000 0.217 0.148 25.502

Problem 58

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

88 103 52 55 48 57 189 60 72 89

N.S.

1 1.17 0.59 0.62 0.55 0.65 2.15 0.68 0.82 1.01

time (sec)

N/A 0.714 0.188 15.714 0.032 0.101 0.654 0.125 0.151 26.735

Problem 59

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

67 77 40 44 37 47 136 46 56 43

N.S.

1 1.15 0.60 0.66 0.55 0.70 2.03 0.69 0.84 0.64

time (sec)

N/A 0.566 0.091 10.247 0.051 0.081 0.330 0.129 0.164 25.855

Problem 60

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

46 51 23 19 24 36 92 18 39 50

N.S.

1 1.11 0.50 0.41 0.52 0.78 2.00 0.39 0.85 1.09

time (sec)

N/A 0.434 0.090 4.331 0.027 0.093 0.157 0.125 0.170 25.712

Problem 61

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

25 25 23 19 24 23 46 18 23 18

N.S.

1 1.00 0.92 0.76 0.96 0.92 1.84 0.72 0.92 0.72

time (sec)

N/A 0.290 0.019 3.480 0.037 0.081 0.081 0.130 0.170 0.004

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

23 20 23 28 34 36 0 42 39 27

N.S.

1 0.87 1.00 1.22 1.48 1.57 0.00 1.83 1.70 1.17

time (sec)

N/A 0.301 0.015 2.200 0.037 0.095 0.000 0.130 0.166 25.738

Problem 63

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 48 46 61 0 48 95 69

N.S.

1 1.00 1.00 1.41 1.35 1.79 0.00 1.41 2.79 2.03

time (sec)

N/A 0.401 0.020 1.504 0.043 0.101 0.000 0.179 0.171 26.134

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

55 60 55 66 65 71 0 82 155 125

N.S.

1 1.09 1.00 1.20 1.18 1.29 0.00 1.49 2.82 2.27

time (sec)

N/A 0.560 0.021 3.053 0.048 0.089 0.000 0.207 0.279 28.553

Problem 65

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 84 91 84 0 73 226 177

N.S.

1 1.13 1.00 1.11 1.20 1.11 0.00 0.96 2.97 2.33

time (sec)

N/A 0.724 0.023 8.760 0.038 0.119 0.000 0.224 0.250 29.282

Problem 66

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

31 30 48 26 36 26 63 26 35 25

N.S.

1 0.97 1.55 0.84 1.16 0.84 2.03 0.84 1.13 0.81

time (sec)

N/A 0.352 0.154 14.457 0.037 0.082 0.623 0.125 0.162 0.059

Problem 67

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

31 30 27 26 26 26 46 26 63 26

N.S.

1 0.97 0.87 0.84 0.84 0.84 1.48 0.84 2.03 0.84

time (sec)

N/A 0.362 0.117 12.029 0.040 0.078 0.441 0.126 0.167 0.052

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

31 29 35 26 26 26 42 26 25 37

N.S.

1 0.94 1.13 0.84 0.84 0.84 1.35 0.84 0.81 1.19

time (sec)

N/A 0.353 0.067 7.030 0.034 0.108 0.308 0.121 0.180 25.514

Problem 69

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

31 30 27 34 26 26 46 26 47 26

N.S.

1 0.97 0.87 1.10 0.84 0.84 1.48 0.84 1.52 0.84

time (sec)

N/A 0.357 0.057 7.708 0.048 0.071 0.209 0.120 0.167 0.031

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

15 15 15 14 13 24 20 24 13 13

N.S.

1 1.00 1.00 0.93 0.87 1.60 1.33 1.60 0.87 0.87

time (sec)

N/A 0.309 0.004 4.753 0.044 0.090 0.142 0.119 0.183 25.262

Problem 71

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

28 25 25 25 25 25 0 27 60 30

N.S.

1 0.89 0.89 0.89 0.89 0.89 0.00 0.96 2.14 1.07

time (sec)

N/A 0.345 0.022 2.471 0.044 0.087 0.000 0.127 0.158 25.274

Problem 72

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

21 22 21 40 19 22 0 23 31 20

N.S.

1 1.05 1.00 1.90 0.90 1.05 0.00 1.10 1.48 0.95

time (sec)

N/A 0.347 0.108 3.974 0.045 0.107 0.000 0.150 0.161 25.400

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

27 27 25 28 31 27 32 30 27 30

N.S.

1 1.00 0.93 1.04 1.15 1.00 1.19 1.11 1.00 1.11

time (sec)

N/A 0.390 0.069 0.828 0.035 0.102 0.078 0.137 0.155 25.252

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

27 25 27 24 25 25 39 25 21 23

N.S.

1 0.93 1.00 0.89 0.93 0.93 1.44 0.93 0.78 0.85

time (sec)

N/A 0.334 0.116 1.224 0.042 0.094 0.176 0.138 0.153 25.508

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

15 15 15 14 13 25 42 25 23 13

N.S.

1 1.00 1.00 0.93 0.87 1.67 2.80 1.67 1.53 0.87

time (sec)

N/A 0.322 0.007 1.945 0.033 0.100 0.251 0.143 0.168 25.322

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

31 29 31 26 25 25 44 25 25 25

N.S.

1 0.94 1.00 0.84 0.81 0.81 1.42 0.81 0.81 0.81

time (sec)

N/A 0.363 0.178 3.533 0.048 0.077 0.393 0.139 0.218 25.394

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

31 29 31 34 49 25 42 25 25 25

N.S.

1 0.94 1.00 1.10 1.58 0.81 1.35 0.81 0.81 0.81

time (sec)

N/A 0.360 0.027 6.685 0.039 0.083 0.565 0.141 0.262 25.241

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 29 31 26 25 25 44 25 25 27

N.S.

1 0.94 1.00 0.84 0.81 0.81 1.42 0.81 0.81 0.87

time (sec)

N/A 0.363 0.135 11.602 0.037 0.110 0.816 0.141 0.162 25.597

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 29 31 34 59 25 42 25 25 35

N.S.

1 0.94 1.00 1.10 1.90 0.81 1.35 0.81 0.81 1.13

time (sec)

N/A 0.353 0.026 21.747 0.031 0.106 1.153 0.147 0.163 25.515

Problem 80

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 53 47 47 46 63 88 46 45 45

N.S.

1 0.87 0.77 0.77 0.75 1.03 1.44 0.75 0.74 0.74

time (sec)

N/A 0.379 0.218 54.112 0.041 0.098 1.763 0.129 0.205 0.061

Problem 81

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 41 37 36 36 53 66 36 35 36

N.S.

1 0.89 0.80 0.78 0.78 1.15 1.43 0.78 0.76 0.78

time (sec)

N/A 0.368 0.107 21.329 0.029 0.081 0.896 0.122 0.165 25.445

Problem 82

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 29 27 26 26 41 44 26 25 26

N.S.

1 0.94 0.87 0.84 0.84 1.32 1.42 0.84 0.81 0.84

time (sec)

N/A 0.355 0.067 10.422 0.041 0.106 0.441 0.119 0.171 0.034

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 14 13 31 20 13 13 13

N.S.

1 1.00 1.00 0.93 0.87 2.07 1.33 0.87 0.87 0.87

time (sec)

N/A 0.308 0.004 3.891 0.044 0.078 0.202 0.118 0.162 0.038

Problem 84

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

35 49 31 54 41 42 0 44 51 38

N.S.

1 1.40 0.89 1.54 1.17 1.20 0.00 1.26 1.46 1.09

time (sec)

N/A 0.356 0.258 2.326 0.122 0.083 0.000 0.149 0.166 25.414

Problem 85

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 38 27 29 26 27 39 26 24

N.S.

1 1.00 1.36 0.96 1.04 0.93 0.96 1.39 0.93 0.86

time (sec)

N/A 0.382 0.016 0.435 0.115 0.075 0.089 0.151 0.169 25.341

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 14 13 39 22 13 43 13

N.S.

1 1.00 1.00 0.93 0.87 2.60 1.47 0.87 2.87 0.87

time (sec)

N/A 0.314 0.009 1.394 0.033 0.080 0.709 0.183 0.169 25.259

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 29 77 26 26 49 0 26 65 25

N.S.

1 0.94 2.48 0.84 0.84 1.58 0.00 0.84 2.10 0.81

time (sec)

N/A 0.346 0.190 4.694 0.040 0.091 0.000 0.204 0.168 25.306

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

46 41 98 36 36 61 0 36 85 35

N.S.

1 0.89 2.13 0.78 0.78 1.33 0.00 0.78 1.85 0.76

time (sec)

N/A 0.367 0.164 15.803 0.037 0.122 0.000 0.220 0.169 25.346

Problem 89

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

111 131 62 66 48 66 231 74 88 109

N.S.

1 1.18 0.56 0.59 0.43 0.59 2.08 0.67 0.79 0.98

time (sec)

N/A 0.926 0.211 21.421 0.047 0.095 1.276 0.127 0.162 26.864

Problem 90

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

90 105 33 31 33 56 189 32 72 90

N.S.

1 1.17 0.37 0.34 0.37 0.62 2.10 0.36 0.80 1.00

time (sec)

N/A 0.745 0.100 7.570 0.032 0.081 0.646 0.126 0.232 26.450

Problem 91

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

69 79 40 42 37 46 136 46 56 43

N.S.

1 1.14 0.58 0.61 0.54 0.67 1.97 0.67 0.81 0.62

time (sec)

N/A 0.595 0.062 5.237 0.045 0.090 0.326 0.132 0.259 25.423

Problem 92

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

46 51 33 31 33 36 95 32 40 50

N.S.

1 1.11 0.72 0.67 0.72 0.78 2.07 0.70 0.87 1.09

time (sec)

N/A 0.399 0.038 4.098 0.051 0.076 0.152 0.126 0.170 0.076

Problem 93

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

38 32 38 38 46 48 0 60 52 53

N.S.

1 0.84 1.00 1.00 1.21 1.26 0.00 1.58 1.37 1.39

time (sec)

N/A 0.350 0.019 1.762 0.056 0.089 0.000 0.126 0.163 25.435

Problem 94

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

44 51 53 58 56 74 0 64 71 98

N.S.

1 1.16 1.20 1.32 1.27 1.68 0.00 1.45 1.61 2.23

time (sec)

N/A 0.339 0.021 1.396 0.037 0.097 0.000 0.138 0.182 27.471

Problem 95

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 73 76 71 74 0 63 162 126

N.S.

1 1.09 1.33 1.38 1.29 1.35 0.00 1.15 2.95 2.29

time (sec)

N/A 0.571 0.026 1.238 0.037 0.098 0.000 0.203 0.176 29.005

Problem 96

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

78 88 99 94 91 84 0 73 226 177

N.S.

1 1.13 1.27 1.21 1.17 1.08 0.00 0.94 2.90 2.27

time (sec)

N/A 0.749 0.029 2.986 0.053 0.117 0.000 0.230 0.169 29.717

Problem 97

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

99 114 120 112 111 94 0 107 290 229

N.S.

1 1.15 1.21 1.13 1.12 0.95 0.00 1.08 2.93 2.31

time (sec)

N/A 0.946 0.030 9.269 0.047 0.096 0.000 0.252 0.177 30.397

Problem 98

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

46 44 68 47 46 36 83 36 45 35

N.S.

1 0.96 1.48 1.02 1.00 0.78 1.80 0.78 0.98 0.76

time (sec)

N/A 0.380 0.404 43.957 0.051 0.130 2.458 0.123 0.166 0.087

Problem 99

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 42 37 37 36 36 68 36 95 36

N.S.

1 0.91 0.80 0.80 0.78 0.78 1.48 0.78 2.07 0.78

time (sec)

N/A 0.363 0.289 34.793 0.033 0.106 1.757 0.125 0.157 25.795

Problem 100

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 44 50 36 36 36 63 36 35 36

N.S.

1 0.96 1.09 0.78 0.78 0.78 1.37 0.78 0.76 0.78

time (sec)

N/A 0.367 0.084 17.375 0.037 0.107 1.278 0.121 0.171 25.860