Instance: rand-2-40-8-753-100-71_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:17
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 86,690 MAX VALUE 23,681.80 0.85 0.12 1.16
Relational linkage 0.38 0.75 0.63 0.62 202.12 0.00 -150.14 0.09 0.13 1.01
Tightness 0.00 0.23 0.10 0.09 75.73 0.00 None 0.04 0.38 2.29
Tuples 49 64 57.56 58.00 43,345 MAX VALUE 3,051.14 2.44 0.04 2.29
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 1.17 0.03 1.44
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 612 682 647.67 649.00 1,943 270,882,000 19.42 28.59 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 0 613 396.67 577.00 1,190 0 None 280.87 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 11,897 3,035.37 1,520.00 115,344 MAX VALUE 295.30 2,577.35 0.85 2.88
Cluster variables 70 492 146.34 77.00 5,561 MAX VALUE 181.88 108.28 0.74 2.69
Separator constraints 0 6,553 2,308.39 1,444.00 87,719 0 None 1,493.84 0.65 2.84
Separator variables 0 364 126.53 76.00 4,808 0 None 82.46 0.65 2.69
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 38.62 0.25 -1.40 0.00 0.00 2.41
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.17 0.03 1.44
Eccentricity 1 2 1.70 2.00 68 268,435,000 19.41 0.46 0.27 0.61
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: 9.76%
MCB compute time (ms): 50,090
MCB cycles: 26,873
Triangles: 337,845
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 0.51 381.54 0.00 -511.92 0.00 0.00 2.20
Degree 69 76 73.37 73.00 55,250 MAX VALUE 3,234.38 1.60 0.02 1.85
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 80,619 MAX VALUE 29,523.00 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 12,827
MCB cycles: 716
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 1,002.10 0.96 0.25 1.26
Eccentricity 9 14 11.59 12.00 8,727 MAX VALUE 1,841.23 1.15 0.10 1.52
MCB cycle size 3 16 6.15 6.00 4,403 MAX VALUE 1,284.21 1.30 0.21 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: 6.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.82 0.78 615.49 0.00 -164.45 0.15 0.18 4.10
Degree 2 218 52.37 10.00 39,436 MAX VALUE 2,089.85 72.57 1.39 3.78
Eccentricity 3 6 4.46 4.00 3,355 MAX VALUE 1,117.61 0.61 0.14 0.93
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,436
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 3,210 MAX VALUE 1,107.04 0.28 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