Instance: rand-2-40-8-753-100-31_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:21
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 753
General features
Number of coarse blocks: 12,048
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 1,506 MAX VALUE 521.94 0.00 0.00 0.00
Coarse blocks size 3 8 7.21 7.00 86,836 MAX VALUE 23,702.80 0.85 0.12 1.15
Relational linkage 0.38 0.75 0.63 0.62 201.25 0.00 -151.25 0.08 0.13 0.96
Tightness 0.00 0.20 0.10 0.09 74.59 0.00 None 0.04 0.37 2.27
Tuples 51 64 57.66 58.00 43,418 MAX VALUE 3,052.44 2.38 0.04 2.27
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 35 39 37.65 38.00 1,506 MAX VALUE 145.12 0.99 0.03 1.37
Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Tree decomposition
Number of clusters: 3
Number of leaves: 2
Tree depth: 1
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 612 682 647.00 647.00 1,941 270,047,000 19.41 28.58 0.04 1.10
Cluster variables 36 38 37.00 37.00 111 50,616 10.83 0.82 0.02 1.10
Separator constraints 0 611 396.00 577.00 1,188 0 None 280.36 0.71 1.10
Separator variables 0 36 23.67 35.00 71 0 None 16.74 0.71 1.10
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 1,257 11,512 3,035.53 1,520.00 115,350 MAX VALUE 295.32 2,570.84 0.85 2.94
Cluster variables 70 486 146.37 77.00 5,562 MAX VALUE 181.89 108.28 0.74 2.55
Separator constraints 0 6,619 2,308.76 1,444.00 87,733 0 None 1,497.37 0.65 2.94
Separator variables 0 366 126.55 76.00 4,809 0 None 82.59 0.65 2.59
Primal graph
Density: 96.54%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.96 0.97 0.97 0.96 38.60 0.24 -1.42 0.00 0.00 2.23
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 0.99 0.03 1.37
Eccentricity 1 2 1.80 2.00 72 4.29e+09 22.18 0.40 0.22 0.50
Triangulated primal graph
Density: 99.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.72 0.75 -0.29 0.00 0.00 0.65
Degree 35 39 38.70 39.00 1,548 MAX VALUE 146.22 0.81 0.02 0.60
Eccentricity 1 2 1.18 1.00 47 128 4.85 0.38 0.32 0.46
Dual graph
Density: 9.75%
MCB compute time (ms): 35,964
MCB cycles: 26,865
Triangles: 337,546
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 0.51 0.51 0.51 381.48 0.00 -512.05 0.00 0.00 2.16
Degree 69 76 73.35 73.00 55,234 MAX VALUE 3,234.21 1.35 0.02 1.71
Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 80,595 MAX VALUE 29,514.20 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 8,880
MCB cycles: 714
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 16.43 0.03
Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,002.01 0.96 0.25 1.25
Eccentricity 9 14 11.58 12.00 8,721 MAX VALUE 1,840.90 1.11 0.10 1.51
MCB cycle size 3 11 6.02 6.00 4,301 MAX VALUE 1,265.14 1.29 0.21 1.63
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 6.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.77 613.99 0.00 -166.56 0.15 0.18 3.99
Degree 2 211 51.04 9.00 38,434 MAX VALUE 2,074.88 70.95 1.39 3.74
Eccentricity 3 6 4.20 4.00 3,166 MAX VALUE 1,072.94 0.62 0.15 0.94
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,007
MCB cycles: 714
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 39 3.80 2.00 3,012 MAX VALUE 667.06 7.81 2.05 0.27
Eccentricity 3 5 4.05 4.00 3,209 MAX VALUE 1,107.07 0.25 0.06 0.27
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00