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2.2.2 Integrals 101 to 153

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 101

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

15 15 17 15 17 17 14 17 17

N.S.

1 1.00 1.13 1.00 1.13 1.13 0.93 1.13 1.13

time (sec)

N/A 0.282 6.785 0.117 1.032 0.266 161.550 0.546 0.788

Problem 102

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

142 167 134 1405 129 293 0 0 0

N.S.

1 1.18 0.94 9.89 0.91 2.06 0.00 0.00 0.00

time (sec)

N/A 0.791 0.163 1.720 1.243 0.269 0.000 0.000 0.000

Problem 103

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

113 133 103 1369 106 247 0 0 0

N.S.

1 1.18 0.91 12.12 0.94 2.19 0.00 0.00 0.00

time (sec)

N/A 0.615 0.075 1.013 1.260 0.278 0.000 0.000 0.000

Problem 104

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

79 92 71 545 80 187 0 0 0

N.S.

1 1.16 0.90 6.90 1.01 2.37 0.00 0.00 0.00

time (sec)

N/A 0.422 1.476 1.153 1.252 0.286 0.000 0.000 0.000

Problem 105

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

19 19 21 17 77 37 0 19 20

N.S.

1 1.00 1.11 0.89 4.05 1.95 0.00 1.00 1.05

time (sec)

N/A 0.286 3.430 0.190 0.597 0.267 0.000 0.366 1.082

Problem 106

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

145 170 134 1410 129 293 0 0 0

N.S.

1 1.17 0.92 9.72 0.89 2.02 0.00 0.00 0.00

time (sec)

N/A 0.790 0.163 1.826 1.246 0.288 0.000 0.000 0.000

Problem 107

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

116 135 103 1374 107 247 0 0 0

N.S.

1 1.16 0.89 11.84 0.92 2.13 0.00 0.00 0.00

time (sec)

N/A 0.633 0.100 1.035 1.236 0.275 0.000 0.000 0.000

Problem 108

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

82 96 71 516 80 187 0 0 0

N.S.

1 1.17 0.87 6.29 0.98 2.28 0.00 0.00 0.00

time (sec)

N/A 0.437 1.430 1.144 1.259 0.292 0.000 0.000 0.000

Problem 109

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

22 22 24 20 72 37 0 19 20

N.S.

1 1.00 1.09 0.91 3.27 1.68 0.00 0.86 0.91

time (sec)

N/A 0.289 3.445 0.167 0.641 0.257 0.000 0.358 1.119

Problem 110

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

31 31 59 53 34 40 0 0 21

N.S.

1 1.00 1.90 1.71 1.10 1.29 0.00 0.00 0.68

time (sec)

N/A 0.230 0.018 0.307 0.303 0.277 0.000 0.000 0.803

Problem 111

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 57 50 44 0 65 0 0 0

N.S.

1 0.90 0.79 0.70 0.00 1.03 0.00 0.00 0.00

time (sec)

N/A 0.333 0.012 0.431 0.000 0.272 0.000 0.000 0.000

Problem 112

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 93 80 70 0 87 0 0 0

N.S.

1 1.02 0.88 0.77 0.00 0.96 0.00 0.00 0.00

time (sec)

N/A 0.467 0.013 0.644 0.000 0.279 0.000 0.000 0.000

Problem 113

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B B B F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 43 83 95 63 103 0 0 37

N.S.

1 0.96 1.84 2.11 1.40 2.29 0.00 0.00 0.82

time (sec)

N/A 0.237 0.167 0.245 0.294 0.275 0.000 0.000 0.850

Problem 114

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

91 87 71 349 0 151 0 0 0

N.S.

1 0.96 0.78 3.84 0.00 1.66 0.00 0.00 0.00

time (sec)

N/A 0.384 0.013 0.378 0.000 0.284 0.000 0.000 0.000

Problem 115

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

133 141 115 407 0 187 0 0 0

N.S.

1 1.06 0.86 3.06 0.00 1.41 0.00 0.00 0.00

time (sec)

N/A 0.550 0.020 0.417 0.000 0.279 0.000 0.000 0.000

Problem 116

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

196 177 167 162 189 212 0 0 0

N.S.

1 0.90 0.85 0.83 0.96 1.08 0.00 0.00 0.00

time (sec)

N/A 0.536 0.310 0.740 0.313 0.284 0.000 0.000 0.000

Problem 117

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

232 238 236 672 0 304 0 0 0

N.S.

1 1.03 1.02 2.90 0.00 1.31 0.00 0.00 0.00

time (sec)

N/A 0.695 0.063 0.880 0.000 0.288 0.000 0.000 0.000

Problem 118

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

302 321 299 758 0 378 0 0 0

N.S.

1 1.06 0.99 2.51 0.00 1.25 0.00 0.00 0.00

time (sec)

N/A 0.969 0.033 1.247 0.000 0.282 0.000 0.000 0.000

Problem 119

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 33 25 23 19 28 19 20 20

N.S.

1 1.32 1.00 0.92 0.76 1.12 0.76 0.80 0.80

time (sec)

N/A 0.221 0.013 0.085 0.176 0.271 1.417 0.272 0.094

Problem 120

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

45 53 35 32 31 50 153 32 31

N.S.

1 1.18 0.78 0.71 0.69 1.11 3.40 0.71 0.69

time (sec)

N/A 0.236 0.025 0.267 0.274 0.263 0.220 0.271 0.132

Problem 121

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C A A A B F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

64 74 81 54 54 77 223 0 46

N.S.

1 1.16 1.27 0.84 0.84 1.20 3.48 0.00 0.72

time (sec)

N/A 0.320 0.036 0.296 0.289 0.269 0.254 0.000 0.868

Problem 122

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

30 30 22 25 24 18 26 24 24

N.S.

1 1.00 0.73 0.83 0.80 0.60 0.87 0.80 0.80

time (sec)

N/A 0.194 0.019 0.023 0.282 0.274 0.089 0.267 0.087

Problem 123

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

5 5 5 6 5 5 5 5 5

N.S.

1 1.00 1.00 1.20 1.00 1.00 1.00 1.00 1.00

time (sec)

N/A 0.187 0.046 0.246 0.203 0.258 0.110 0.271 0.245

Problem 124

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

17 17 17 14 16 15 14 16 15

N.S.

1 1.00 1.00 0.82 0.94 0.88 0.82 0.94 0.88

time (sec)

N/A 0.210 0.073 0.247 0.199 0.267 0.194 0.274 0.143

Problem 125

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A B B B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

18 18 18 17 16 26 53 104 16

N.S.

1 1.00 1.00 0.94 0.89 1.44 2.94 5.78 0.89

time (sec)

N/A 0.344 0.024 0.322 0.354 0.255 0.257 0.290 0.139

Problem 126

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

68 74 58 45 44 40 0 44 72

N.S.

1 1.09 0.85 0.66 0.65 0.59 0.00 0.65 1.06

time (sec)

N/A 0.263 0.042 0.032 0.305 0.306 0.000 0.287 1.915

Problem 127

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

59 65 53 40 39 35 46 39 65

N.S.

1 1.10 0.90 0.68 0.66 0.59 0.78 0.66 1.10

time (sec)

N/A 0.250 0.023 0.034 0.313 0.268 175.227 0.291 1.110

Problem 128

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

50 56 48 35 34 28 39 34 58

N.S.

1 1.12 0.96 0.70 0.68 0.56 0.78 0.68 1.16

time (sec)

N/A 0.237 0.022 0.034 0.308 0.285 34.992 0.288 1.030

Problem 129

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

37 41 31 28 26 22 29 27 40

N.S.

1 1.11 0.84 0.76 0.70 0.59 0.78 0.73 1.08

time (sec)

N/A 0.215 0.073 0.030 0.297 0.267 8.412 0.273 1.045

Problem 130

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

42 42 84 374 43 0 0 0 0

N.S.

1 1.00 2.00 8.90 1.02 0.00 0.00 0.00 0.00

time (sec)

N/A 0.295 0.140 0.765 0.271 0.000 0.000 0.000 0.000

Problem 131

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A B A A B A B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

41 44 40 57 29 28 537 28 44

N.S.

1 1.07 0.98 1.39 0.71 0.68 13.10 0.68 1.07

time (sec)

N/A 0.234 0.022 0.033 0.302 0.284 88.100 0.281 1.582

Problem 132

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

50 56 48 35 34 35 0 34 49

N.S.

1 1.12 0.96 0.70 0.68 0.70 0.00 0.68 0.98

time (sec)

N/A 0.236 0.023 0.045 0.295 0.273 0.000 0.288 1.435

Problem 133

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 65 51 40 39 40 0 39 56

N.S.

1 1.10 0.86 0.68 0.66 0.68 0.00 0.66 0.95

time (sec)

N/A 0.251 0.029 0.052 0.296 0.282 0.000 0.299 1.037

Problem 134

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

63 63 63 59 0 126 0 0 57

N.S.

1 1.00 1.00 0.94 0.00 2.00 0.00 0.00 0.90

time (sec)

N/A 0.372 0.044 0.758 0.000 0.302 0.000 0.000 0.842

Problem 135

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

59 59 59 57 0 0 0 0 0

N.S.

1 1.00 1.00 0.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.364 0.022 0.372 0.000 0.000 0.000 0.000 0.000

Problem 136

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 59 57 0 0 0 0 0

N.S.

1 1.00 1.00 0.97 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.322 0.016 0.382 0.000 0.000 0.000 0.000 0.000

Problem 137

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A F A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

55 55 55 55 0 83 0 0 49

N.S.

1 1.00 1.00 1.00 0.00 1.51 0.00 0.00 0.89

time (sec)

N/A 0.351 0.121 1.294 0.000 0.296 0.000 0.000 0.724

Problem 138

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

57 57 57 57 29 82 0 0 51

N.S.

1 1.00 1.00 1.00 0.51 1.44 0.00 0.00 0.89

time (sec)

N/A 0.342 0.019 0.356 0.335 0.259 0.000 0.000 0.689

Problem 139

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A A A A F F B

verified

N/A Yes Yes Yes TBD TBD TBD TBD TBD

size

59 59 59 57 29 82 0 0 51

N.S.

1 1.00 1.00 0.97 0.49 1.39 0.00 0.00 0.86

time (sec)

N/A 0.342 0.018 0.352 0.366 0.263 0.000 0.000 0.873

Problem 140

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

72 72 66 0 0 132 0 0 0

N.S.

1 1.00 0.92 0.00 0.00 1.83 0.00 0.00 0.00

time (sec)

N/A 0.378 0.106 0.000 0.000 0.292 0.000 0.000 0.000

Problem 141

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

68 68 62 0 0 0 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.365 0.058 0.000 0.000 0.000 0.000 0.000 0.000

Problem 142

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

68 68 62 0 0 0 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.325 0.029 0.000 0.000 0.000 0.000 0.000 0.000

Problem 143

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

64 64 58 0 0 83 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 1.30 0.00 0.00 0.00

time (sec)

N/A 0.364 0.051 0.000 0.000 0.276 0.000 0.000 0.000

Problem 144

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

66 66 60 0 0 82 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 1.24 0.00 0.00 0.00

time (sec)

N/A 0.354 0.050 0.000 0.000 0.269 0.000 0.000 0.000

Problem 145

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

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

size

68 68 62 0 0 83 0 0 0

N.S.

1 1.00 0.91 0.00 0.00 1.22 0.00 0.00 0.00

time (sec)

N/A 0.353 0.044 0.000 0.000 0.266 0.000 0.000 0.000

Problem 146

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

101 89 79 1087 0 0 0 0 0

N.S.

1 0.88 0.78 10.76 0.00 0.00 0.00 0.00 0.00

time (sec)

N/A 0.608 0.105 6.954 0.000 0.000 0.000 0.000 0.000

Problem 147

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A A F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

48 46 61 1299 48 75 0 65 66

N.S.

1 0.96 1.27 27.06 1.00 1.56 0.00 1.35 1.38

time (sec)

N/A 0.314 0.057 1.111 0.284 0.298 0.000 0.293 0.852

Problem 148

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A B F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

103 104 146 1371 131 221 0 154 133

N.S.

1 1.01 1.42 13.31 1.27 2.15 0.00 1.50 1.29

time (sec)

N/A 0.489 0.083 5.592 0.279 0.274 0.000 0.297 0.341

Problem 149

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A C F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

180 175 89 1355 167 258 0 0 164

N.S.

1 0.97 0.49 7.53 0.93 1.43 0.00 0.00 0.91

time (sec)

N/A 0.507 0.066 1.384 0.270 0.282 0.000 0.000 1.591

Problem 150

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A C F F B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

180 175 89 1355 167 258 0 0 164

N.S.

1 0.97 0.49 7.53 0.93 1.43 0.00 0.00 0.91

time (sec)

N/A 0.505 0.064 1.226 0.280 0.288 0.000 0.000 1.803

Problem 151

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A C C A B F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

103 104 145 838 169 276 0 154 135

N.S.

1 1.01 1.41 8.14 1.64 2.68 0.00 1.50 1.31

time (sec)

N/A 0.458 0.079 4.969 0.310 0.287 0.000 0.288 0.963

Problem 152

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

N/A A A C A B F A B

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

47 44 57 885 47 131 0 66 67

N.S.

1 0.94 1.21 18.83 1.00 2.79 0.00 1.40 1.43

time (sec)

N/A 0.330 0.051 1.017 0.276 0.272 0.000 0.281 0.833

Problem 153

Optimal Rubi MMA Maple Maxima Fricas Sympy Giac Mupad

grade

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

verified

N/A Yes Yes No TBD TBD TBD TBD TBD

size

163 163 116 547 0 250 0 0 0

N.S.

1 1.00 0.71 3.36 0.00 1.53 0.00 0.00 0.00

time (sec)

N/A 0.798 0.202 212.623 0.000 0.289 0.000 0.000 0.000

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