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2.2.1 Integrals 1 to 50

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 A A A B F F(-1)

verified

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

size

51 51 52 93 58 54 102 272 7 0

N.S.

1 1.00 1.02 1.82 1.14 1.06 2.00 5.33 0.14 0.00

time (sec)

N/A 0.181 0.018 0.146 0.277 0.263 3.722 0.281 0.001 0.000

Problem 2

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

17 17 17 16 15 15 12 15 14 0

N.S.

1 1.00 1.00 0.94 0.88 0.88 0.71 0.88 0.82 0.00

time (sec)

N/A 0.165 0.006 0.213 0.307 0.241 0.084 0.296 0.001 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

69 0 106 252 4 49 0 0 12 0

N.S.

1 0.00 1.54 3.65 0.06 0.71 0.00 0.00 0.17 0.00

time (sec)

N/A 0.000 0.700 1.098 0.907 23.673 0.000 0.000 0.008 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

97 332 188 413 0 451 0 235 199 666

N.S.

1 3.42 1.94 4.26 0.00 4.65 0.00 2.42 2.05 6.87

time (sec)

N/A 0.847 0.273 0.179 0.000 0.255 0.000 0.399 0.006 1.504

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 306 159 312 0 33 0 0 30 0

N.S.

1 6.80 3.53 6.93 0.00 0.73 0.00 0.00 0.67 0.00

time (sec)

N/A 0.655 0.806 2.597 0.000 0.302 0.000 0.000 0.003 0.000

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

56 54 74 64 0 88 0 79 12 0

N.S.

1 0.96 1.32 1.14 0.00 1.57 0.00 1.41 0.21 0.00

time (sec)

N/A 0.228 0.084 0.259 0.000 0.308 0.000 0.301 0.003 0.000

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

15 15 15 12 27 30 0 28 20 0

N.S.

1 1.00 1.00 0.80 1.80 2.00 0.00 1.87 1.33 0.00

time (sec)

N/A 0.194 0.012 0.576 0.205 0.306 0.000 0.299 0.002 0.000

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

137 149 99 1604 4065 226 0 495 13 0

N.S.

1 1.09 0.72 11.71 29.67 1.65 0.00 3.61 0.09 0.00

time (sec)

N/A 0.406 0.201 1.602 0.781 0.300 0.000 0.336 0.002 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

41 39 70 36 60 32 0 0 11 60

N.S.

1 0.95 1.71 0.88 1.46 0.78 0.00 0.00 0.27 1.46

time (sec)

N/A 0.211 0.249 0.297 0.289 0.258 0.000 0.000 0.002 0.420

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

44 67 38 0 0 28 56 46 20 0

N.S.

1 1.52 0.86 0.00 0.00 0.64 1.27 1.05 0.45 0.00

time (sec)

N/A 0.792 0.169 0.000 0.000 0.246 0.383 0.276 0.005 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

68 74 64 0 0 43 0 0 27 0

N.S.

1 1.09 0.94 0.00 0.00 0.63 0.00 0.00 0.40 0.00

time (sec)

N/A 0.374 0.038 0.000 0.000 0.262 0.000 0.000 0.005 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

141 274 226 471 0 191 0 364 107 661

N.S.

1 1.94 1.60 3.34 0.00 1.35 0.00 2.58 0.76 4.69

time (sec)

N/A 0.880 0.132 0.096 0.000 0.268 0.000 0.291 0.012 1.375

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

152 283 2175 0 0 200 0 373 115 0

N.S.

1 1.86 14.31 0.00 0.00 1.32 0.00 2.45 0.76 0.00

time (sec)

N/A 0.686 3.092 0.000 0.000 0.266 0.000 0.341 0.010 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 51 44 0 0 63 0 57 31 0

N.S.

1 1.13 0.98 0.00 0.00 1.40 0.00 1.27 0.69 0.00

time (sec)

N/A 0.280 0.034 0.000 0.000 0.259 0.000 0.290 0.004 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 76 0 0 62 0 36 32 0

N.S.

1 1.00 2.24 0.00 0.00 1.82 0.00 1.06 0.94 0.00

time (sec)

N/A 0.182 0.073 0.000 0.000 0.282 0.000 0.285 0.007 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 22 0 18 56 78 18 24 0

N.S.

1 1.00 1.00 0.00 0.82 2.55 3.55 0.82 1.09 0.00

time (sec)

N/A 0.172 0.020 0.000 0.262 0.275 20.249 0.280 0.006 0.000

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

32 32 89 0 0 58 0 36 30 0

N.S.

1 1.00 2.78 0.00 0.00 1.81 0.00 1.12 0.94 0.00

time (sec)

N/A 0.182 0.054 0.000 0.000 0.257 0.000 0.269 0.007 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

43 43 43 89 41 32 42 62 44 0

N.S.

1 1.00 1.00 2.07 0.95 0.74 0.98 1.44 1.02 0.00

time (sec)

N/A 0.184 0.017 0.080 0.272 0.261 2.687 0.282 0.003 0.000

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

28 28 28 21 34 34 48 35 31 174

N.S.

1 1.00 1.00 0.75 1.21 1.21 1.71 1.25 1.11 6.21

time (sec)

N/A 0.138 0.015 0.336 0.181 0.228 0.901 0.270 0.000 0.144

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 0 22 22 20 22 20 0

N.S.

1 1.00 1.00 0.00 0.85 0.85 0.77 0.85 0.77 0.00

time (sec)

N/A 0.166 0.016 0.000 0.227 0.241 3.249 0.284 0.000 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

38 43 85 0 0 138 0 38 25 0

N.S.

1 1.13 2.24 0.00 0.00 3.63 0.00 1.00 0.66 0.00

time (sec)

N/A 0.217 0.053 0.000 0.000 0.259 0.000 0.285 0.015 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

70 82 88 0 0 110 0 52 21 0

N.S.

1 1.17 1.26 0.00 0.00 1.57 0.00 0.74 0.30 0.00

time (sec)

N/A 0.283 0.063 0.000 0.000 0.255 0.000 0.296 0.015 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

58 58 58 0 0 48 0 0 65 0

N.S.

1 1.00 1.00 0.00 0.00 0.83 0.00 0.00 1.12 0.00

time (sec)

N/A 0.407 0.026 0.000 0.000 0.256 0.000 0.000 0.004 0.000

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 No Yes Yes TBD TBD TBD TBD TBD TBD

size

55 49 41 37 36 35 31 36 43 27

N.S.

1 0.89 0.75 0.67 0.65 0.64 0.56 0.65 0.78 0.49

time (sec)

N/A 0.233 0.016 0.052 0.190 0.234 2.143 0.263 0.001 0.398

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

26 26 26 0 22 22 20 22 20 0

N.S.

1 1.00 1.00 0.00 0.85 0.85 0.77 0.85 0.77 0.00

time (sec)

N/A 0.171 0.015 0.000 0.321 0.244 3.568 0.279 0.001 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

78 78 119 0 0 115 0 122 148 0

N.S.

1 1.00 1.53 0.00 0.00 1.47 0.00 1.56 1.90 0.00

time (sec)

N/A 0.457 0.041 0.000 0.000 0.246 0.000 0.347 0.005 0.000

Problem 27

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

39 39 25 35 35 39 0 73 49 0

N.S.

1 1.00 0.64 0.90 0.90 1.00 0.00 1.87 1.26 0.00

time (sec)

N/A 0.196 0.023 0.073 0.274 0.241 0.000 0.280 0.003 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

17 17 17 54 15 23 29 23 21 0

N.S.

1 1.00 1.00 3.18 0.88 1.35 1.71 1.35 1.24 0.00

time (sec)

N/A 0.170 0.012 0.645 0.268 0.252 0.435 0.284 0.002 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

57 63 77 0 0 81 0 104 99 0

N.S.

1 1.11 1.35 0.00 0.00 1.42 0.00 1.82 1.74 0.00

time (sec)

N/A 0.236 0.045 0.000 0.000 0.250 0.000 0.298 0.010 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

45 45 45 0 387 69 0 108 152 37

N.S.

1 1.00 1.00 0.00 8.60 1.53 0.00 2.40 3.38 0.82

time (sec)

N/A 0.203 0.026 0.000 0.442 0.258 0.000 0.284 0.006 0.031

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 33 56 22 47 19 54 40 0

N.S.

1 1.00 1.14 1.93 0.76 1.62 0.66 1.86 1.38 0.00

time (sec)

N/A 0.196 0.019 0.677 0.272 0.249 3.830 0.278 0.006 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

21 21 21 20 19 22 0 40 18 0

N.S.

1 1.00 1.00 0.95 0.90 1.05 0.00 1.90 0.86 0.00

time (sec)

N/A 0.182 0.011 0.229 0.272 0.252 0.000 0.291 0.002 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 41 27 119 27 27 29 28 29 0

N.S.

1 1.21 0.79 3.50 0.79 0.79 0.85 0.82 0.85 0.00

time (sec)

N/A 0.175 0.014 0.083 0.281 0.248 1.369 0.293 0.002 0.000

Problem 34

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

33 33 21 29 29 33 26 58 55 0

N.S.

1 1.00 0.64 0.88 0.88 1.00 0.79 1.76 1.67 0.00

time (sec)

N/A 0.174 0.019 0.069 0.275 0.244 2.951 0.266 0.003 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

25 25 35 34 15 15 22 22 14 0

N.S.

1 1.00 1.40 1.36 0.60 0.60 0.88 0.88 0.56 0.00

time (sec)

N/A 0.173 0.031 0.388 0.202 0.245 16.148 0.303 0.003 0.000

Problem 36

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

34 41 40 39 25 41 41 44 40 0

N.S.

1 1.21 1.18 1.15 0.74 1.21 1.21 1.29 1.18 0.00

time (sec)

N/A 0.172 0.013 0.064 0.295 0.268 2.595 0.272 0.002 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

16 16 46 14 24 29 46 27 45 13

N.S.

1 1.00 2.88 0.88 1.50 1.81 2.88 1.69 2.81 0.81

time (sec)

N/A 0.163 0.074 0.154 0.274 0.255 9.243 0.275 0.002 0.220

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 23 22 0 42 0 0 28 0

N.S.

1 1.00 1.00 0.96 0.00 1.83 0.00 0.00 1.22 0.00

time (sec)

N/A 0.168 0.300 1.543 0.000 0.269 0.000 0.000 0.001 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

23 23 23 19 0 18 0 0 50 0

N.S.

1 1.00 1.00 0.83 0.00 0.78 0.00 0.00 2.17 0.00

time (sec)

N/A 0.169 0.262 1.048 0.000 0.271 0.000 0.000 0.007 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

22 22 39 24 82 93 105 36 66 55

N.S.

1 1.00 1.77 1.09 3.73 4.23 4.77 1.64 3.00 2.50

time (sec)

N/A 0.279 0.033 0.606 0.284 0.264 0.659 0.304 0.002 0.386

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

42 45 87 0 0 146 0 90 11 0

N.S.

1 1.07 2.07 0.00 0.00 3.48 0.00 2.14 0.26 0.00

time (sec)

N/A 0.422 0.067 0.000 0.000 0.268 0.000 0.321 0.002 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

28 77 45 78 0 54 0 92 20 0

N.S.

1 2.75 1.61 2.79 0.00 1.93 0.00 3.29 0.71 0.00

time (sec)

N/A 0.385 0.028 0.773 0.000 0.279 0.000 0.509 0.002 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

34 34 55 37 565 186 0 50 20 0

N.S.

1 1.00 1.62 1.09 16.62 5.47 0.00 1.47 0.59 0.00

time (sec)

N/A 0.210 0.044 0.220 0.370 0.262 0.000 0.293 0.001 0.000

Problem 44

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

39 50 65 67 0 63 0 67 24 0

N.S.

1 1.28 1.67 1.72 0.00 1.62 0.00 1.72 0.62 0.00

time (sec)

N/A 0.234 0.058 0.888 0.000 0.298 0.000 0.328 0.004 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

337 0 552 0 0 337 0 0 16 0

N.S.

1 0.00 1.64 0.00 0.00 1.00 0.00 0.00 0.05 0.00

time (sec)

N/A 0.000 2.848 0.000 0.000 0.272 0.000 0.000 0.002 0.000

Problem 46

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

77 101 58 78 67 52 87 0 77 78

N.S.

1 1.31 0.75 1.01 0.87 0.68 1.13 0.00 1.00 1.01

time (sec)

N/A 0.978 0.088 4.497 0.277 0.247 0.501 0.000 0.000 0.256

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

120 130 95 508 0 298 0 92 11 413

N.S.

1 1.08 0.79 4.23 0.00 2.48 0.00 0.77 0.09 3.44

time (sec)

N/A 0.390 0.165 0.171 0.000 0.261 0.000 0.284 0.010 1.102

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 No Yes Yes TBD TBD TBD TBD TBD TBD

size

31 41 31 28 26 22 29 27 27 40

N.S.

1 1.32 1.00 0.90 0.84 0.71 0.94 0.87 0.87 1.29

time (sec)

N/A 0.195 0.092 0.041 0.317 0.253 9.144 0.286 0.011 0.802

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

29 29 29 138 0 60 0 34 15 0

N.S.

1 1.00 1.00 4.76 0.00 2.07 0.00 1.17 0.52 0.00

time (sec)

N/A 0.180 0.025 0.194 0.000 0.261 0.000 0.326 0.007 0.000

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Reduce Mupad

grade

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

verified

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

size

106 106 106 210 0 205 0 111 279 455

N.S.

1 1.00 1.00 1.98 0.00 1.93 0.00 1.05 2.63 4.29

time (sec)

N/A 0.323 0.177 0.096 0.000 0.275 0.000 0.345 0.032 1.153

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