Instance: rand-2-40-16-250-350-77_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:57
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.39 10.00 83,100 MAX VALUE 18,580.90 1.90 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 289.00 0.00 -517.94 0.07 0.16 1.57
Tightness 0.27 0.43 0.35 0.35 87.70 0.00 -262.82 0.03 0.09 3.35
Tuples 147 186 166.20 167.00 41,550 MAX VALUE 1,278.03 7.66 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 18 12.50 12.00 500 MAX VALUE 100.04 2.77 0.22 2.27
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 18
Number of leaves: 9
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 16 94 50.56 36.50 910 1.69e+29 67.30 28.65 0.57 2.63
Cluster variables 9 23 15.78 14.00 284 1.18e+21 48.52 5.48 0.35 2.29
Separator constraints 0 82 36.67 21.50 660 0 None 28.47 0.78 2.66
Separator variables 0 22 13.56 11.50 244 0 None 6.15 0.45 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 66 889 261.32 197.50 9,930 MAX VALUE 203.47 183.54 0.70 3.56
Cluster variables 16 135 42.47 31.00 1,614 MAX VALUE 135.83 28.53 0.67 3.32
Separator constraints 0 467 181.63 152.00 6,902 0 None 108.04 0.59 3.49
Separator variables 0 100 35.89 29.00 1,364 0 None 21.67 0.60 3.30
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.22 0.49 0.33 0.35 13.23 0.00 -44.85 0.06 0.17 3.58
Degree 8 18 12.50 12.00 500 MAX VALUE 100.04 2.77 0.22 2.27
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 63.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.86 0.84 34.34 0.00 -6.33 0.09 0.11 3.13
Degree 8 36 24.85 29.00 994 MAX VALUE 124.51 9.20 0.37 2.78
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.73%
MCB compute time (ms): 2,911
MCB cycles: 3,159
Triangles: 12,184
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.58 0.51 0.50 126.70 0.00 -170.04 0.02 0.03 4.49
Degree 15 33 24.22 24.00 6,056 MAX VALUE 793.68 3.78 0.16 2.70
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.07 3.00 9,686 MAX VALUE 3,530.64 0.25 0.08 0.24
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 331
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 6 3.68 4.00 920 MAX VALUE 320.01 0.81 0.22 1.13
Eccentricity 6 9 7.34 7.00 1,835 MAX VALUE 497.36 0.65 0.09 0.98
MCB cycle size 4 9 6.63 7.00 1,399 MAX VALUE 395.39 1.19 0.18 1.56
Triangulated dual graph
Density: 52.09%
Triangles: 676,226
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.83 212.60 0.00 -41.44 0.07 0.09 4.81
Degree 15 190 129.70 163.00 32,424 MAX VALUE 1,171.79 59.12 0.46 3.91
Eccentricity 2 3 2.25 2.00 563 MAX VALUE 198.83 0.43 0.19 0.56
Triangulated minimal dual graph
Density: 11.25%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.77 202.66 0.00 -56.62 0.15 0.18 3.57
Degree 2 91 28.02 8.00 7,006 MAX VALUE 630.13 32.13 1.15 3.27
Eccentricity 3 5 3.67 4.00 918 MAX VALUE 322.60 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 215
MCB cycles: 211
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.00 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 18 3.45 2.00 1,000 MAX VALUE 273.32 3.76 1.09 0.71
Eccentricity 5 6 5.89 6.00 1,709 MAX VALUE 513.96 0.31 0.05 0.34
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07