Instance: rand-2-40-8-753-100-41_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:09
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 86,918 MAX VALUE 23,718.70 0.83 0.12 1.14
Relational linkage 0.38 0.75 0.64 0.62 204.25 0.00 -146.60 0.08 0.13 1.01
Tightness 0.00 0.23 0.10 0.09 73.95 0.00 None 0.04 0.38 2.27
Tuples 49 64 57.71 58.00 43,459 MAX VALUE 3,053.14 2.39 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 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.49
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 577 683 635.67 647.00 1,907 254,977,000 19.36 44.01 0.07 1.10
Cluster variables 35 38 36.67 37.00 110 49,210 10.80 1.25 0.03 1.10
Separator constraints 0 611 384.67 543.00 1,154 0 None 273.41 0.71 1.10
Separator variables 0 36 23.33 34.00 70 0 None 16.52 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 1,185 11,589 3,037.92 1,520.00 115,441 MAX VALUE 295.31 2,577.31 0.85 3.18
Cluster variables 68 487 146.40 77.00 5,563 MAX VALUE 181.88 108.34 0.74 2.90
Separator constraints 0 6,599 2,310.89 1,444.00 87,814 0 None 1,500.44 0.65 3.18
Separator variables 0 365 126.58 76.00 4,810 0 None 82.61 0.65 2.86
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 38.63 0.25 -1.40 0.00 0.00 2.35
Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.49
Eccentricity 1 2 1.73 2.00 69 536,871,000 20.10 0.45 0.26 0.59
Triangulated primal graph
Density: 99.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.67 0.72 -0.33 0.00 0.00 0.71
Degree 34 39 38.65 39.00 1,546 MAX VALUE 146.17 0.94 0.02 0.65
Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50
Dual graph
Density: 9.76%
MCB compute time (ms): 32,791
MCB cycles: 26,875
Triangles: 337,914
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 0.51 381.56 0.00 -511.90 0.00 0.00 2.31
Degree 67 76 73.38 74.00 55,254 MAX VALUE 3,234.42 1.65 0.02 1.87
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 80,625 MAX VALUE 29,525.20 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,670
MCB cycles: 715
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 1,002.15 0.96 0.25 1.25
Eccentricity 9 15 12.08 12.00 9,098 MAX VALUE 1,872.30 1.24 0.10 1.61
MCB cycle size 3 13 6.07 6.00 4,342 MAX VALUE 1,274.46 1.23 0.20 1.58
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: 6.80%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 613.23 0.00 -167.37 0.15 0.18 4.04
Degree 2 212 51.17 9.00 38,532 MAX VALUE 2,082.61 70.86 1.38 3.75
Eccentricity 3 5 4.13 4.00 3,107 MAX VALUE 1,058.88 0.60 0.15 0.91
Incidence graph
Density: 0.48%
MCB compute time (ms): 970
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 5 4.05 4.00 3,211 MAX VALUE 1,107.32 0.27 0.07 0.31
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00