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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 Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 51 72 71 49 70 113 0

N.S.

1 1.00 0.68 0.96 0.95 0.65 0.93 1.51 0.00

time (sec)

N/A 0.160 0.043 0.560 0.275 0.245 0.298 0.267 0.000

Problem 2

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 50 60 61 47 61 84 0

N.S.

1 1.00 0.72 0.87 0.88 0.68 0.88 1.22 0.00

time (sec)

N/A 0.103 0.029 0.010 0.284 0.251 0.241 0.272 0.000

Problem 3

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

54 54 41 52 50 40 48 64 0

N.S.

1 1.00 0.76 0.96 0.93 0.74 0.89 1.19 0.00

time (sec)

N/A 0.023 0.035 0.008 0.303 0.246 0.166 0.278 0.000

Problem 4

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 45 40 40 40 36 37 46 38

N.S.

1 1.00 0.89 0.89 0.89 0.80 0.82 1.02 0.84

time (sec)

N/A 0.011 0.018 0.007 0.292 0.245 0.141 0.269 0.055

Problem 5

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

25 25 25 24 24 24 20 24 23

N.S.

1 1.00 1.00 0.96 0.96 0.96 0.80 0.96 0.92

time (sec)

N/A 0.005 0.008 0.006 0.309 0.248 0.063 0.261 0.071

Problem 6

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 46 111 0 0 0 0 41

N.S.

1 1.00 0.90 2.18 0.00 0.00 0.00 0.00 0.80

time (sec)

N/A 0.042 0.054 0.118 0.000 0.000 0.000 0.000 0.052

Problem 7

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A C A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 28 27 39 49 32 48 26

N.S.

1 1.00 1.00 0.96 1.39 1.75 1.14 1.71 0.93

time (sec)

N/A 0.014 0.009 0.007 0.275 0.280 0.823 0.269 0.014

Problem 8

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

34 34 29 29 28 25 51 68 0

N.S.

1 1.00 0.85 0.85 0.82 0.74 1.50 2.00 0.00

time (sec)

N/A 0.009 0.010 0.009 0.281 0.261 0.625 0.277 0.000

Problem 9

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

56 56 53 50 60 73 107 77 0

N.S.

1 1.00 0.95 0.89 1.07 1.30 1.91 1.38 0.00

time (sec)

N/A 0.021 0.018 0.007 0.296 0.272 1.413 0.269 0.000

Problem 10

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

58 58 41 52 50 37 100 130 0

N.S.

1 1.00 0.71 0.90 0.86 0.64 1.72 2.24 0.00

time (sec)

N/A 0.014 0.024 0.010 0.280 0.269 0.858 0.279 0.000

Problem 11

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

80 80 51 73 82 85 182 101 0

N.S.

1 1.00 0.64 0.91 1.02 1.06 2.28 1.26 0.00

time (sec)

N/A 0.031 0.022 0.011 0.286 0.259 2.792 0.278 0.000

Problem 12

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

120 120 82 76 102 76 114 169 0

N.S.

1 1.00 0.68 0.63 0.85 0.63 0.95 1.41 0.00

time (sec)

N/A 0.121 0.041 0.108 0.295 0.251 0.405 0.274 0.000

Problem 13

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 98 74 91 0 70 90 133 0

N.S.

1 1.00 0.76 0.93 0.00 0.71 0.92 1.36 0.00

time (sec)

N/A 0.102 0.056 0.066 0.000 0.275 0.296 0.281 0.000

Problem 14

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 64 59 72 59 76 97 0

N.S.

1 1.00 0.78 0.72 0.88 0.72 0.93 1.18 0.00

time (sec)

N/A 0.077 0.039 0.073 0.307 0.242 0.225 0.279 0.000

Problem 15

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 55 65 0 51 51 73 0

N.S.

1 1.00 0.92 1.08 0.00 0.85 0.85 1.22 0.00

time (sec)

N/A 0.060 0.031 0.025 0.000 0.250 0.186 0.269 0.000

Problem 16

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

35 35 35 37 33 36 32 33 32

N.S.

1 1.00 1.00 1.06 0.94 1.03 0.91 0.94 0.91

time (sec)

N/A 0.031 0.017 0.030 0.273 0.241 0.081 0.272 0.088

Problem 17

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 71 169 0 0 0 0 0

N.S.

1 1.00 1.00 2.38 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.106 0.087 0.043 0.000 0.000 0.000 0.000 0.000

Problem 18

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

66 66 87 120 0 0 0 0 0

N.S.

1 1.00 1.32 1.82 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.067 0.231 0.037 0.000 0.000 0.000 0.000 0.000

Problem 19

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 44 48 40 44 0 82 0

N.S.

1 1.00 1.00 1.09 0.91 1.00 0.00 1.86 0.00

time (sec)

N/A 0.047 0.025 0.034 0.274 0.274 0.000 0.286 0.000

Problem 20

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

116 116 139 149 0 0 0 0 0

N.S.

1 1.00 1.20 1.28 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.103 0.687 0.112 0.000 0.000 0.000 0.000 0.000

Problem 21

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

87 87 69 82 74 62 0 185 0

N.S.

1 1.00 0.79 0.94 0.85 0.71 0.00 2.13 0.00

time (sec)

N/A 0.085 0.033 0.033 0.282 0.261 0.000 0.329 0.000

Problem 22

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

201 201 122 159 171 105 196 249 0

N.S.

1 1.00 0.61 0.79 0.85 0.52 0.98 1.24 0.00

time (sec)

N/A 0.240 0.067 0.048 0.285 0.262 0.544 0.275 0.000

Problem 23

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

167 167 112 154 0 96 160 185 0

N.S.

1 1.00 0.67 0.92 0.00 0.57 0.96 1.11 0.00

time (sec)

N/A 0.187 0.039 0.093 0.000 0.266 0.420 0.282 0.000

Problem 24

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

136 136 95 106 120 79 128 142 0

N.S.

1 1.00 0.70 0.78 0.88 0.58 0.94 1.04 0.00

time (sec)

N/A 0.146 0.038 0.043 0.286 0.259 0.307 0.281 0.000

Problem 25

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

99 99 82 96 0 69 92 101 0

N.S.

1 1.00 0.83 0.97 0.00 0.70 0.93 1.02 0.00

time (sec)

N/A 0.096 0.025 0.049 0.000 0.267 0.232 0.289 0.000

Problem 26

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

60 60 60 57 57 44 54 56 40

N.S.

1 1.00 1.00 0.95 0.95 0.73 0.90 0.93 0.67

time (sec)

N/A 0.049 0.012 0.026 0.272 0.248 0.111 0.267 0.093

Problem 27

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 97 229 0 0 0 0 0

N.S.

1 1.00 1.00 2.36 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.072 0.058 0.042 0.000 0.000 0.000 0.000 0.000

Problem 28

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

108 108 133 178 0 0 0 0 0

N.S.

1 1.00 1.23 1.65 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.103 0.115 0.052 0.000 0.000 0.000 0.000 0.000

Problem 29

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

102 102 92 161 0 0 0 0 0

N.S.

1 1.00 0.90 1.58 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.107 0.284 0.060 0.000 0.000 0.000 0.000 0.000

Problem 30

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

179 179 284 234 0 0 0 0 0

N.S.

1 1.00 1.59 1.31 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.182 2.302 0.107 0.000 0.000 0.000 0.000 0.000

Problem 31

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F F F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

169 169 116 231 0 0 0 0 0

N.S.

1 1.00 0.69 1.37 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.185 0.680 0.101 0.000 0.000 0.000 0.000 0.000

Problem 32

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

282 282 167 345 0 153 269 362 0

N.S.

1 1.00 0.59 1.22 0.00 0.54 0.95 1.28 0.00

time (sec)

N/A 0.563 0.097 0.114 0.000 0.255 1.035 0.275 0.000

Problem 33

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

250 250 150 197 207 134 241 305 0

N.S.

1 1.00 0.60 0.79 0.83 0.54 0.96 1.22 0.00

time (sec)

N/A 0.419 0.055 0.047 0.300 0.270 0.761 0.276 0.000

Problem 34

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

198 198 135 215 0 121 190 234 0

N.S.

1 1.00 0.68 1.09 0.00 0.61 0.96 1.18 0.00

time (sec)

N/A 0.329 0.051 0.069 0.000 0.266 0.567 0.286 0.000

Problem 35

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

166 166 114 130 147 99 158 176 0

N.S.

1 1.00 0.69 0.78 0.89 0.60 0.95 1.06 0.00

time (sec)

N/A 0.222 0.048 0.042 0.299 0.262 0.414 0.280 0.000

Problem 36

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

111 111 96 117 0 82 104 127 0

N.S.

1 1.00 0.86 1.05 0.00 0.74 0.94 1.14 0.00

time (sec)

N/A 0.146 0.034 0.055 0.000 0.250 0.303 0.274 0.000

Problem 37

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A A A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 69 67 75 55 65 65 48

N.S.

1 1.00 1.00 0.97 1.09 0.80 0.94 0.94 0.70

time (sec)

N/A 0.073 0.024 0.030 0.272 0.243 0.152 0.277 0.088

Problem 38

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

113 113 113 287 0 0 0 0 0

N.S.

1 1.00 1.00 2.54 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.087 0.055 0.046 0.000 0.000 0.000 0.000 0.000

Problem 39

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

156 156 198 238 0 0 0 0 0

N.S.

1 1.00 1.27 1.53 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.123 0.233 0.051 0.000 0.000 0.000 0.000 0.000

Problem 40

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 124 219 0 0 0 0 0

N.S.

1 1.00 1.04 1.84 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.136 0.298 0.061 0.000 0.000 0.000 0.000 0.000

Problem 41

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

276 276 399 377 0 0 0 0 0

N.S.

1 1.00 1.45 1.37 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.257 3.425 0.095 0.000 0.000 0.000 0.000 0.000

Problem 42

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 40 40 0 0 0 47 0

N.S.

1 1.00 0.73 0.73 0.00 0.00 0.00 0.85 0.00

time (sec)

N/A 0.069 0.028 0.046 0.000 0.000 0.000 0.287 0.000

Problem 43

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

43 43 33 33 0 0 0 37 0

N.S.

1 1.00 0.77 0.77 0.00 0.00 0.00 0.86 0.00

time (sec)

N/A 0.052 0.156 0.046 0.000 0.000 0.000 0.289 0.000

Problem 44

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 41 31 31 0 0 0 35 0

N.S.

1 1.00 0.76 0.76 0.00 0.00 0.00 0.85 0.00

time (sec)

N/A 0.052 0.014 0.030 0.000 0.000 0.000 0.279 0.000

Problem 45

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

29 29 24 24 0 0 0 25 0

N.S.

1 1.00 0.83 0.83 0.00 0.00 0.00 0.86 0.00

time (sec)

N/A 0.040 0.106 0.026 0.000 0.000 0.000 0.279 0.000

Problem 46

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

27 27 22 22 0 0 0 23 0

N.S.

1 1.00 0.81 0.81 0.00 0.00 0.00 0.85 0.00

time (sec)

N/A 0.041 0.009 0.024 0.000 0.000 0.000 0.277 0.000

Problem 47

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

14 14 14 13 0 0 0 12 0

N.S.

1 1.00 1.00 0.93 0.00 0.00 0.00 0.86 0.00

time (sec)

N/A 0.023 0.051 0.035 0.000 0.000 0.000 0.283 0.000

Problem 48

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

9 9 9 10 0 0 0 9 0

N.S.

1 1.00 1.00 1.11 0.00 0.00 0.00 1.00 0.00

time (sec)

N/A 0.011 0.024 0.025 0.000 0.000 0.000 0.274 0.000

Problem 49

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 12 12 8 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 0.80 1.20 1.20

time (sec)

N/A 0.008 0.208 0.030 0.372 0.229 0.263 0.304 0.035

Problem 50

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 12 12 10 12 12

N.S.

1 1.00 1.20 1.00 1.20 1.20 1.00 1.20 1.20

time (sec)

N/A 0.009 1.594 0.095 0.374 0.241 0.282 0.313 0.035

Problem 51

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 83 86 105 0 0 0 161 0

N.S.

1 1.00 1.04 1.27 0.00 0.00 0.00 1.94 0.00

time (sec)

N/A 0.048 0.357 0.046 0.000 0.000 0.000 0.286 0.000

Problem 52

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 78 78 0 0 0 120 0

N.S.

1 1.00 1.10 1.10 0.00 0.00 0.00 1.69 0.00

time (sec)

N/A 0.045 0.040 0.044 0.000 0.000 0.000 0.289 0.000

Problem 53

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

69 69 61 81 0 0 0 115 0

N.S.

1 1.00 0.88 1.17 0.00 0.00 0.00 1.67 0.00

time (sec)

N/A 0.040 0.353 0.030 0.000 0.000 0.000 0.280 0.000

Problem 54

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 56 54 0 0 0 72 0

N.S.

1 1.00 0.98 0.95 0.00 0.00 0.00 1.26 0.00

time (sec)

N/A 0.033 0.023 0.032 0.000 0.000 0.000 0.293 0.000

Problem 55

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 50 57 0 0 0 68 0

N.S.

1 1.00 0.91 1.04 0.00 0.00 0.00 1.24 0.00

time (sec)

N/A 0.028 0.282 0.029 0.000 0.000 0.000 0.289 0.000

Problem 56

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

38 38 29 28 0 0 0 36 0

N.S.

1 1.00 0.76 0.74 0.00 0.00 0.00 0.95 0.00

time (sec)

N/A 0.016 0.015 0.033 0.000 0.000 0.000 0.285 0.000

Problem 57

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

36 36 32 33 0 0 0 34 0

N.S.

1 1.00 0.89 0.92 0.00 0.00 0.00 0.94 0.00

time (sec)

N/A 0.049 0.130 0.023 0.000 0.000 0.000 0.277 0.000

Problem 58

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 126 12 10 12 12

N.S.

1 1.00 1.20 1.00 12.60 1.20 1.00 1.20 1.20

time (sec)

N/A 0.009 1.328 0.030 0.571 0.263 0.320 0.310 0.034

Problem 59

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 137 12 12 12 12

N.S.

1 1.00 1.20 1.00 13.70 1.20 1.20 1.20 1.20

time (sec)

N/A 0.009 10.918 0.060 0.678 0.250 0.366 0.371 0.040

Problem 60

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

98 98 103 121 0 0 0 170 0

N.S.

1 1.00 1.05 1.23 0.00 0.00 0.00 1.73 0.00

time (sec)

N/A 0.225 0.163 0.045 0.000 0.000 0.000 0.297 0.000

Problem 61

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

83 83 73 82 0 0 0 125 0

N.S.

1 1.00 0.88 0.99 0.00 0.00 0.00 1.51 0.00

time (sec)

N/A 0.195 0.183 0.039 0.000 0.000 0.000 0.293 0.000

Problem 62

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 82 68 82 0 0 0 102 0

N.S.

1 1.00 0.83 1.00 0.00 0.00 0.00 1.24 0.00

time (sec)

N/A 0.157 0.111 0.025 0.000 0.000 0.000 0.300 0.000

Problem 63

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 64 61 45 0 0 0 67 0

N.S.

1 1.00 0.95 0.70 0.00 0.00 0.00 1.05 0.00

time (sec)

N/A 0.113 0.049 0.038 0.000 0.000 0.000 0.288 0.000

Problem 64

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

51 51 48 43 0 0 0 43 0

N.S.

1 1.00 0.94 0.84 0.00 0.00 0.00 0.84 0.00

time (sec)

N/A 0.057 0.025 0.027 0.000 0.000 0.000 0.263 0.000

Problem 65

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 125 12 10 12 12

N.S.

1 1.00 1.20 1.00 12.50 1.20 1.00 1.20 1.20

time (sec)

N/A 0.009 0.544 0.029 1.395 0.260 0.398 0.321 0.035

Problem 66

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 142 12 12 12 12

N.S.

1 1.00 1.20 1.00 14.20 1.20 1.20 1.20 1.20

time (sec)

N/A 0.009 6.637 0.049 1.549 0.244 0.478 0.376 0.036

Problem 67

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

158 158 159 171 0 0 0 250 0

N.S.

1 1.00 1.01 1.08 0.00 0.00 0.00 1.58 0.00

time (sec)

N/A 0.200 0.364 0.045 0.000 0.000 0.000 0.290 0.000

Problem 68

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

144 144 107 114 0 0 0 174 0

N.S.

1 1.00 0.74 0.79 0.00 0.00 0.00 1.21 0.00

time (sec)

N/A 0.178 0.351 0.037 0.000 0.000 0.000 0.282 0.000

Problem 69

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

141 141 112 117 0 0 0 148 0

N.S.

1 1.00 0.79 0.83 0.00 0.00 0.00 1.05 0.00

time (sec)

N/A 0.192 0.290 0.032 0.000 0.000 0.000 0.277 0.000

Problem 70

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

97 97 86 60 0 0 0 92 0

N.S.

1 1.00 0.89 0.62 0.00 0.00 0.00 0.95 0.00

time (sec)

N/A 0.103 0.151 0.031 0.000 0.000 0.000 0.269 0.000

Problem 71

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

78 78 70 63 0 0 0 66 0

N.S.

1 1.00 0.90 0.81 0.00 0.00 0.00 0.85 0.00

time (sec)

N/A 0.092 0.088 0.030 0.000 0.000 0.000 0.262 0.000

Problem 72

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 201 12 10 12 12

N.S.

1 1.00 1.20 1.00 20.10 1.20 1.00 1.20 1.20

time (sec)

N/A 0.008 3.264 0.028 3.976 0.249 0.514 0.316 0.037

Problem 73

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

size

10 10 12 10 230 12 12 12 12

N.S.

1 1.00 1.20 1.00 23.00 1.20 1.20 1.20 1.20

time (sec)

N/A 0.008 13.773 0.049 4.899 0.240 0.662 0.402 0.039

Problem 74

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

121 121 192 143 0 0 0 247 0

N.S.

1 1.00 1.59 1.18 0.00 0.00 0.00 2.04 0.00

time (sec)

N/A 0.157 0.048 0.098 0.000 0.000 0.000 0.330 0.000

Problem 75

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

95 95 131 90 0 0 0 153 0

N.S.

1 1.00 1.38 0.95 0.00 0.00 0.00 1.61 0.00

time (sec)

N/A 0.119 0.028 0.059 0.000 0.000 0.000 0.328 0.000

Problem 76

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

86 86 126 96 0 0 0 165 0

N.S.

1 1.00 1.47 1.12 0.00 0.00 0.00 1.92 0.00

time (sec)

N/A 0.113 0.034 0.044 0.000 0.000 0.000 0.326 0.000

Problem 77

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 74 43 0 0 0 71 0

N.S.

1 1.00 1.25 0.73 0.00 0.00 0.00 1.20 0.00

time (sec)

N/A 0.093 0.014 0.038 0.000 0.000 0.000 0.308 0.000

Problem 78

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

44 44 66 49 0 0 0 83 0

N.S.

1 1.00 1.50 1.11 0.00 0.00 0.00 1.89 0.00

time (sec)

N/A 0.055 0.026 0.036 0.000 0.000 0.000 0.295 0.000

Problem 79

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 1.00

time (sec)

N/A 0.008 0.195 0.052 0.000 0.000 0.329 0.443 0.036

Problem 80

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

214 282 202 193 0 0 0 355 0

N.S.

1 1.32 0.94 0.90 0.00 0.00 0.00 1.66 0.00

time (sec)

N/A 0.345 0.057 0.074 0.000 0.000 0.000 0.331 0.000

Problem 81

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

157 157 130 121 0 0 0 225 0

N.S.

1 1.00 0.83 0.77 0.00 0.00 0.00 1.43 0.00

time (sec)

N/A 0.231 0.028 0.059 0.000 0.000 0.000 0.332 0.000

Problem 82

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

147 147 136 131 0 0 0 237 0

N.S.

1 1.00 0.93 0.89 0.00 0.00 0.00 1.61 0.00

time (sec)

N/A 0.188 0.058 0.051 0.000 0.000 0.000 0.334 0.000

Problem 83

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

89 89 71 64 0 0 0 107 0

N.S.

1 1.00 0.80 0.72 0.00 0.00 0.00 1.20 0.00

time (sec)

N/A 0.113 0.016 0.045 0.000 0.000 0.000 0.314 0.000

Problem 84

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

75 75 76 72 0 0 0 119 0

N.S.

1 1.00 1.01 0.96 0.00 0.00 0.00 1.59 0.00

time (sec)

N/A 0.062 0.041 0.042 0.000 0.000 0.000 0.347 0.000

Problem 85

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 1.00

time (sec)

N/A 0.010 0.151 0.052 0.000 0.000 1.340 0.530 0.036

Problem 86

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

263 298 192 233 0 0 0 463 0

N.S.

1 1.13 0.73 0.89 0.00 0.00 0.00 1.76 0.00

time (sec)

N/A 0.494 0.057 0.076 0.000 0.000 0.000 0.343 0.000

Problem 87

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

205 205 131 154 0 0 0 297 0

N.S.

1 1.00 0.64 0.75 0.00 0.00 0.00 1.45 0.00

time (sec)

N/A 0.375 0.040 0.062 0.000 0.000 0.000 0.336 0.000

Problem 88

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

178 178 125 156 0 0 0 309 0

N.S.

1 1.00 0.70 0.88 0.00 0.00 0.00 1.74 0.00

time (sec)

N/A 0.285 0.040 0.051 0.000 0.000 0.000 0.335 0.000

Problem 89

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

119 119 74 79 0 0 0 143 0

N.S.

1 1.00 0.62 0.66 0.00 0.00 0.00 1.20 0.00

time (sec)

N/A 0.184 0.015 0.042 0.000 0.000 0.000 0.327 0.000

Problem 90

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

88 88 68 88 0 0 0 155 0

N.S.

1 1.00 0.77 1.00 0.00 0.00 0.00 1.76 0.00

time (sec)

N/A 0.097 0.032 0.039 0.000 0.000 0.000 0.343 0.000

Problem 91

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 10 0 0 10 12 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 0.83 1.00 1.00

time (sec)

N/A 0.008 0.172 0.060 0.000 0.000 17.626 0.548 0.036

Problem 92

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

106 106 193 72 0 0 0 139 0

N.S.

1 1.00 1.82 0.68 0.00 0.00 0.00 1.31 0.00

time (sec)

N/A 0.072 0.043 0.069 0.000 0.000 0.000 0.324 0.000

Problem 93

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

65 65 128 44 0 0 0 81 0

N.S.

1 1.00 1.97 0.68 0.00 0.00 0.00 1.25 0.00

time (sec)

N/A 0.051 0.026 0.056 0.000 0.000 0.000 0.327 0.000

Problem 94

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

71 71 128 51 0 0 0 93 0

N.S.

1 1.00 1.80 0.72 0.00 0.00 0.00 1.31 0.00

time (sec)

N/A 0.055 0.038 0.046 0.000 0.000 0.000 0.309 0.000

Problem 95

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

28 28 71 21 0 0 0 35 0

N.S.

1 1.00 2.54 0.75 0.00 0.00 0.00 1.25 0.00

time (sec)

N/A 0.026 0.015 0.034 0.000 0.000 0.000 0.297 0.000

Problem 96

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F C F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

30 30 69 25 0 0 0 47 0

N.S.

1 1.00 2.30 0.83 0.00 0.00 0.00 1.57 0.00

time (sec)

N/A 0.016 0.024 0.028 0.000 0.000 0.000 0.309 0.000

Problem 97

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 10 0 0 12 12 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 1.00 1.00 1.00

time (sec)

N/A 0.009 0.178 0.055 0.000 0.000 0.361 0.382 0.039

Problem 98

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

12 12 14 10 0 0 14 12 12

N.S.

1 1.00 1.17 0.83 0.00 0.00 1.17 1.00 1.00

time (sec)

N/A 0.009 2.289 0.069 0.000 0.000 0.495 0.395 0.038

Problem 99

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F F F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

171 171 427 184 0 0 0 0 0

N.S.

1 1.00 2.50 1.08 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.093 0.202 0.086 0.000 0.000 0.000 0.000 0.000

Problem 100

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A F(-2) F(-2) F F(-2) F(-1)

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

127 127 231 121 0 0 0 0 0

N.S.

1 1.00 1.82 0.95 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.068 0.125 0.082 0.000 0.000 0.000 0.000 0.000

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