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Integrals 1 to 49

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 C B B B

verified

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

size

51 52 67 45 61 51 49 245 44 41

N.S.

1 1.02 1.31 0.88 1.20 1.00 0.96 4.80 0.86 0.80

time (sec)

N/A 0.236 0.008 0.152 0.029 0.073 0.355 0.118 0.164 3.651

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

50 52 50 47 46 55 54 255 52 43

N.S.

1 1.04 1.00 0.94 0.92 1.10 1.08 5.10 1.04 0.86

time (sec)

N/A 0.233 0.008 0.108 0.025 0.081 0.320 0.122 0.179 3.664

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 42 57 37 52 43 41 195 36 33

N.S.

1 1.02 1.39 0.90 1.27 1.05 1.00 4.76 0.88 0.80

time (sec)

N/A 0.221 0.008 0.095 0.028 0.085 0.285 0.123 0.174 3.553

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

40 42 40 38 35 44 46 206 44 35

N.S.

1 1.05 1.00 0.95 0.88 1.10 1.15 5.15 1.10 0.88

time (sec)

N/A 0.218 0.007 0.074 0.024 0.097 0.239 0.117 0.172 3.572

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 32 47 27 41 34 32 144 27 26

N.S.

1 1.03 1.52 0.87 1.32 1.10 1.03 4.65 0.87 0.84

time (sec)

N/A 0.192 0.007 0.088 0.023 0.081 0.206 0.119 0.173 3.560

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 25 23 25 33 27 153 28 22

N.S.

1 1.00 1.00 0.92 1.00 1.32 1.08 6.12 1.12 0.88

time (sec)

N/A 0.177 0.002 0.059 0.031 0.069 0.141 0.121 0.164 3.550

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 28 26 28 86 0 0 0 10 0

N.S.

1 1.00 0.93 1.00 3.07 0.00 0.00 0.00 0.36 0.00

time (sec)

N/A 0.183 0.008 0.089 0.031 0.000 0.000 0.000 0.159 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

30 33 30 35 30 39 26 143 38 27

N.S.

1 1.10 1.00 1.17 1.00 1.30 0.87 4.77 1.27 0.90

time (sec)

N/A 0.198 0.008 0.076 0.024 0.099 0.141 0.115 0.160 3.591

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

31 29 47 26 36 35 24 140 26 40

N.S.

1 0.94 1.52 0.84 1.16 1.13 0.77 4.52 0.84 1.29

time (sec)

N/A 0.193 0.007 0.090 0.031 0.090 0.271 0.113 0.164 3.602

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

47 47 47 48 40 50 46 209 55 39

N.S.

1 1.00 1.00 1.02 0.85 1.06 0.98 4.45 1.17 0.83

time (sec)

N/A 0.229 0.008 0.091 0.029 0.090 0.251 0.117 0.173 3.567

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 41 57 36 51 43 32 205 35 60

N.S.

1 1.00 1.39 0.88 1.24 1.05 0.78 5.00 0.85 1.46

time (sec)

N/A 0.205 0.008 0.110 0.028 0.080 0.275 0.118 0.171 3.974

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

105 177 80 92 135 98 114 534 94 85

N.S.

1 1.69 0.76 0.88 1.29 0.93 1.09 5.09 0.90 0.81

time (sec)

N/A 1.306 0.017 0.286 0.032 0.092 0.426 0.126 0.164 3.760

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

127 172 87 164 155 0 0 0 82 0

N.S.

1 1.35 0.69 1.29 1.22 0.00 0.00 0.00 0.65 0.00

time (sec)

N/A 1.130 0.303 0.316 0.034 0.000 0.000 0.000 0.173 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

81 115 62 72 118 81 90 335 73 65

N.S.

1 1.42 0.77 0.89 1.46 1.00 1.11 4.14 0.90 0.80

time (sec)

N/A 0.834 0.014 0.201 0.031 0.086 0.319 0.128 0.162 3.818

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 120 66 144 134 0 0 0 58 0

N.S.

1 1.17 0.64 1.40 1.30 0.00 0.00 0.00 0.56 0.00

time (sec)

N/A 0.732 0.172 0.284 0.032 0.000 0.000 0.000 0.163 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

54 61 43 49 97 62 60 154 53 44

N.S.

1 1.13 0.80 0.91 1.80 1.15 1.11 2.85 0.98 0.81

time (sec)

N/A 0.456 0.011 0.172 0.031 0.115 0.241 0.117 0.164 3.769

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 71 46 116 135 0 0 0 8 0

N.S.

1 1.22 0.79 2.00 2.33 0.00 0.00 0.00 0.14 0.00

time (sec)

N/A 0.429 0.061 0.240 0.034 0.000 0.000 0.000 0.169 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 128 114 459 0 0 0 0 12 0

N.S.

1 1.32 1.18 4.73 0.00 0.00 0.00 0.00 0.12 0.00

time (sec)

N/A 0.717 0.041 3.542 0.000 0.000 0.000 0.000 0.176 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

55 60 49 145 146 0 0 0 37 0

N.S.

1 1.09 0.89 2.64 2.65 0.00 0.00 0.00 0.67 0.00

time (sec)

N/A 0.416 0.071 0.141 0.035 0.000 0.000 0.000 0.180 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

61 60 57 72 96 79 56 137 75 145

N.S.

1 0.98 0.93 1.18 1.57 1.30 0.92 2.25 1.23 2.38

time (sec)

N/A 0.471 0.013 0.146 0.032 0.085 0.280 0.119 0.174 3.781

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

103 97 87 184 176 0 0 0 69 0

N.S.

1 0.94 0.84 1.79 1.71 0.00 0.00 0.00 0.67 0.00

time (sec)

N/A 0.708 0.153 0.157 0.036 0.000 0.000 0.000 0.172 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

90 114 82 101 154 97 90 319 96 196

N.S.

1 1.27 0.91 1.12 1.71 1.08 1.00 3.54 1.07 2.18

time (sec)

N/A 0.863 0.016 0.158 0.034 0.084 0.292 0.125 0.161 4.232

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

186 421 117 2133 289 0 0 0 132 0

N.S.

1 2.26 0.63 11.47 1.55 0.00 0.00 0.00 0.71 0.00

time (sec)

N/A 2.957 0.366 5.857 0.036 0.000 0.000 0.000 0.156 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

196 304 175 1223 0 0 0 0 123 0

N.S.

1 1.55 0.89 6.24 0.00 0.00 0.00 0.00 0.63 0.00

time (sec)

N/A 2.627 0.411 5.506 0.000 0.000 0.000 0.000 0.157 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

139 239 88 871 262 0 0 0 96 0

N.S.

1 1.72 0.63 6.27 1.88 0.00 0.00 0.00 0.69 0.00

time (sec)

N/A 1.793 0.212 4.686 0.036 0.000 0.000 0.000 0.158 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

149 177 140 776 0 0 0 0 89 0

N.S.

1 1.19 0.94 5.21 0.00 0.00 0.00 0.00 0.60 0.00

time (sec)

N/A 1.528 0.260 4.335 0.000 0.000 0.000 0.000 0.161 0.000

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 109 68 2910 215 0 0 0 85 0

N.S.

1 1.15 0.72 30.63 2.26 0.00 0.00 0.00 0.89 0.00

time (sec)

N/A 0.841 0.099 3.546 0.035 0.000 0.000 0.000 0.158 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

85 101 79 168 0 0 0 0 8 0

N.S.

1 1.19 0.93 1.98 0.00 0.00 0.00 0.00 0.09 0.00

time (sec)

N/A 0.653 0.076 0.308 0.000 0.000 0.000 0.000 0.163 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

150 182 156 536 0 0 0 0 12 0

N.S.

1 1.21 1.04 3.57 0.00 0.00 0.00 0.00 0.08 0.00

time (sec)

N/A 1.046 0.054 3.959 0.000 0.000 0.000 0.000 0.160 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

79 93 72 718 0 0 0 0 39 0

N.S.

1 1.18 0.91 9.09 0.00 0.00 0.00 0.00 0.49 0.00

time (sec)

N/A 0.676 0.091 5.003 0.000 0.000 0.000 0.000 0.157 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

95 90 79 3498 252 0 0 0 86 0

N.S.

1 0.95 0.83 36.82 2.65 0.00 0.00 0.00 0.91 0.00

time (sec)

N/A 0.802 0.110 3.792 0.043 0.000 0.000 0.000 0.157 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

154 158 142 836 0 0 0 0 120 0

N.S.

1 1.03 0.92 5.43 0.00 0.00 0.00 0.00 0.78 0.00

time (sec)

N/A 1.580 0.153 6.372 0.000 0.000 0.000 0.000 0.154 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 191 118 657 342 0 0 0 108 0

N.S.

1 1.35 0.84 4.66 2.43 0.00 0.00 0.00 0.77 0.00

time (sec)

N/A 1.502 0.164 4.562 0.039 0.000 0.000 0.000 0.160 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 124 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 12.40 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.184 0.720 0.285 1.102 0.089 2.331 0.139 0.166 3.525

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

N/A N/A N/A N/A N/A N/A N/A N/A N/A N/A

verified

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

size

10 10 12 10 93 12 10 12 12 12

N.S.

1 1.00 1.20 1.00 9.30 1.20 1.00 1.20 1.20 1.20

time (sec)

N/A 0.186 0.731 0.193 0.728 0.098 1.220 0.140 0.161 3.662

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 57 52 0 0 0 0 0 99 0

N.S.

1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 1.74 0.00

time (sec)

N/A 0.213 0.028 0.000 0.000 0.000 0.000 0.000 0.166 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 32 26 95 104 0 0 0 12 0

N.S.

1 1.14 0.93 3.39 3.71 0.00 0.00 0.00 0.43 0.00

time (sec)

N/A 0.236 0.011 0.170 0.035 0.000 0.000 0.000 0.163 0.000

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 19 17 16 15 23 15 104 17 26

N.S.

1 1.00 0.89 0.84 0.79 1.21 0.79 5.47 0.89 1.37

time (sec)

N/A 0.183 0.001 0.145 0.023 0.109 0.098 0.116 0.161 0.093

Problem 39

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

51 52 59 42 41 38 0 164 30 31

N.S.

1 1.02 1.16 0.82 0.80 0.75 0.00 3.22 0.59 0.61

time (sec)

N/A 0.204 0.014 0.043 0.025 0.095 0.000 0.121 0.164 3.668

Problem 40

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

42 43 52 37 36 31 0 114 23 26

N.S.

1 1.02 1.24 0.88 0.86 0.74 0.00 2.71 0.55 0.62

time (sec)

N/A 0.194 0.010 0.031 0.031 0.095 0.000 0.123 0.168 3.686

Problem 41

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

22 29 22 27 26 24 0 65 15 16

N.S.

1 1.32 1.00 1.23 1.18 1.09 0.00 2.95 0.68 0.73

time (sec)

N/A 0.189 0.016 0.029 0.030 0.089 0.000 0.118 0.179 3.683

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

19 27 19 33 66 0 0 0 9 0

N.S.

1 1.42 1.00 1.74 3.47 0.00 0.00 0.00 0.47 0.00

time (sec)

N/A 0.230 0.009 0.142 0.034 0.000 0.000 0.000 0.185 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 32 45 32 31 30 92 65 17 18

N.S.

1 1.28 1.80 1.28 1.24 1.20 3.68 2.60 0.68 0.72

time (sec)

N/A 0.202 0.015 0.042 0.028 0.098 0.457 0.123 0.169 3.728

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 43 58 37 36 38 160 114 26 45

N.S.

1 1.02 1.38 0.88 0.86 0.90 3.81 2.71 0.62 1.07

time (sec)

N/A 0.200 0.015 0.042 0.025 0.133 0.918 0.121 0.178 4.153

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 35 31 35 24 35 121 168 31 24

N.S.

1 0.92 0.82 0.92 0.63 0.92 3.18 4.42 0.82 0.63

time (sec)

N/A 0.208 0.012 0.036 0.028 0.100 0.833 0.124 0.171 3.859

Problem 46

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

31 28 25 30 19 30 0 119 24 0

N.S.

1 0.90 0.81 0.97 0.61 0.97 0.00 3.84 0.77 0.00

time (sec)

N/A 0.200 0.009 0.033 0.027 0.082 0.000 0.115 0.172 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

20 20 20 15 16 24 87 70 20 14

N.S.

1 1.00 1.00 0.75 0.80 1.20 4.35 3.50 1.00 0.70

time (sec)

N/A 0.176 0.006 0.033 0.023 0.096 0.206 0.117 0.167 3.753

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

24 24 24 29 18 36 126 70 34 22

N.S.

1 1.00 1.00 1.21 0.75 1.50 5.25 2.92 1.42 0.92

time (sec)

N/A 0.182 0.014 0.034 0.025 0.099 0.356 0.121 0.178 3.774

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 36 52 45 147 128 0 0 12 0

N.S.

1 0.95 1.37 1.18 3.87 3.37 0.00 0.00 0.32 0.00

time (sec)

N/A 0.233 0.037 0.272 0.101 0.102 0.000 0.000 0.179 0.000

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