Instance: rand-2-40-16-250-350-26_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:56
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 4 16 10.34 10.00 82,694 MAX VALUE 18,540.70 1.89 0.18 2.05
Relational linkage 0.25 0.62 0.45 0.44 286.81 0.00 -522.42 0.07 0.16 1.55
Tightness 0.27 0.43 0.35 0.36 88.49 0.00 -260.46 0.03 0.08 3.32
Tuples 147 187 165.39 165.00 41,347 MAX VALUE 1,276.83 7.25 0.04 3.32
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 12.50 500 MAX VALUE 99.96 2.79 0.22 2.37
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: 17
Number of leaves: 9
Tree depth: 4
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 45.59 34.00 775 1.08e+27 62.25 24.85 0.55 2.67
Cluster variables 8 24 15.18 14.00 258 4.24e+19 45.19 5.22 0.34 2.34
Separator constraints 0 79 30.88 22.00 525 0 None 23.31 0.75 2.59
Separator variables 0 22 12.82 12.00 218 0 None 5.71 0.45 2.34
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 57 876 267.66 210.50 10,171 MAX VALUE 204.18 190.39 0.71 3.56
Cluster variables 15 133 42.89 31.50 1,630 MAX VALUE 136.10 28.80 0.67 3.38
Separator constraints 0 495 187.90 174.00 7,140 0 None 111.72 0.59 3.60
Separator variables 0 100 36.32 29.00 1,380 0 None 21.86 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 0.45 0.32 0.32 12.91 0.00 -45.94 0.06 0.19 3.43
Degree 7 19 12.50 12.50 500 MAX VALUE 99.96 2.79 0.22 2.37
Eccentricity 2 3 2.30 2.00 92 1.43e+14 32.59 0.46 0.20 0.61
Triangulated primal graph
Density: 63.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.86 0.84 34.33 0.00 -6.39 0.10 0.12 3.13
Degree 7 36 24.70 29.00 988 MAX VALUE 124.18 9.28 0.38 2.85
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.74%
MCB compute time (ms): 2,837
MCB cycles: 3,302
Triangles: 12,177
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 0.62 0.51 0.50 126.71 0.00 -170.10 0.02 0.04 4.65
Degree 14 34 24.25 24.00 6,062 MAX VALUE 794.10 3.67 0.15 2.70
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.12 3.00 10,311 MAX VALUE 3,744.06 0.33 0.11 0.37
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 396
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.93 0.00 None 0.03 7.34 0.15
Degree 2 6 3.68 4.00 920 MAX VALUE 319.80 0.81 0.22 1.17
Eccentricity 6 8 7.08 7.00 1,771 MAX VALUE 488.85 0.49 0.07 0.72
MCB cycle size 3 10 6.78 7.00 1,431 MAX VALUE 400.52 1.15 0.17 1.52
Triangulated dual graph
Density: 52.86%
Triangles: 688,002
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.81 212.25 0.00 -41.90 0.08 0.09 4.80
Degree 14 188 131.63 167.00 32,908 MAX VALUE 1,178.08 58.14 0.44 3.88
Eccentricity 2 3 2.24 2.00 561 MAX VALUE 198.02 0.43 0.19 0.56
Triangulated minimal dual graph
Density: 11.58%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.78 204.40 0.00 -53.96 0.14 0.17 3.54
Degree 2 89 28.84 7.00 7,210 MAX VALUE 629.31 33.48 1.16 3.13
Eccentricity 3 5 3.68 4.00 920 MAX VALUE 323.17 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 265
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 19 3.45 2.00 1,000 MAX VALUE 273.25 3.77 1.09 0.73
Eccentricity 5 7 5.92 6.00 1,718 MAX VALUE 515.43 0.33 0.06 0.42
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07