Instance: rand-2-40-8-753-100-74_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:14
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 7.20 7.00 86,750 MAX VALUE 23,690.60 0.85 0.12 1.16
Relational linkage 0.38 0.75 0.63 0.62 200.88 0.00 -151.81 0.08 0.13 0.98
Tightness 0.00 0.25 0.10 0.09 75.27 0.00 None 0.04 0.38 2.28
Tuples 48 64 57.60 58.00 43,375 MAX VALUE 3,051.68 2.41 0.04 2.28
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 145.11 1.19 0.03 1.45
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: 4
Number of leaves: 2
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 645 647 645.50 645.00 2,582 1.74e+11 25.88 0.87 0.00 0.56
Cluster variables 37 37 37.00 37.00 148 1,874,160 14.44 0.00 0.00 0.00
Separator constraints 0 611 457.25 609.00 1,829 0 None 264.00 0.58 1.04
Separator variables 0 36 27.00 36.00 108 0 None 15.59 0.58 0.56
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 11,585 3,039.42 1,520.00 115,498 MAX VALUE 295.32 2,581.63 0.85 3.05
Cluster variables 70 487 146.45 77.00 5,565 MAX VALUE 181.89 108.44 0.74 2.95
Separator constraints 0 6,666 2,312.42 1,444.00 87,872 0 None 1,503.08 0.65 3.05
Separator variables 0 367 126.63 76.00 4,812 0 None 82.69 0.65 2.95
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 0.97 38.62 0.25 -1.40 0.00 0.00 2.15
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.19 0.03 1.45
Eccentricity 1 2 1.68 2.00 67 134,218,000 18.71 0.47 0.28 0.63
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 39.71 0.75 -0.29 0.00 0.00 0.59
Degree 36 39 38.70 39.00 1,548 MAX VALUE 146.22 0.78 0.02 0.59
Eccentricity 1 2 1.15 1.00 46 64 4.16 0.36 0.31 0.42
Dual graph
Density: 9.76%
MCB compute time (ms): 41,847
MCB cycles: 26,874
Triangles: 337,883
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 0.51 381.55 0.00 -511.91 0.00 0.00 2.22
Degree 69 76 73.38 73.00 55,252 MAX VALUE 3,234.39 1.64 0.02 1.87
Eccentricity 2 3 2.00 2.00 1,508 MAX VALUE 522.75 0.05 0.03 0.02
MCB cycle size 3 3 3.00 3.00 80,622 MAX VALUE 29,524.10 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,178
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 1,002.46 0.95 0.24 1.25
Eccentricity 9 14 11.88 12.00 8,947 MAX VALUE 1,860.18 1.14 0.10 1.52
MCB cycle size 3 11 6.03 6.00 4,305 MAX VALUE 1,267.35 1.23 0.20 1.59
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: 6.68%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 611.55 0.00 -169.52 0.15 0.18 4.08
Degree 2 206 50.22 9.00 37,812 MAX VALUE 2,078.64 69.76 1.39 3.77
Eccentricity 3 6 4.14 4.00 3,117 MAX VALUE 1,060.96 0.62 0.15 0.94
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,143
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 667.05 7.81 2.06 0.27
Eccentricity 3 6 4.05 4.00 3,210 MAX VALUE 1,106.89 0.29 0.07 0.32
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00