Instance: rand-2-40-8-753-100-72_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:24
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 2 8 7.20 7.00 86,728 MAX VALUE 23,687.20 0.85 0.12 1.16
Relational linkage 0.25 0.75 0.63 0.62 201.75 0.00 -151.05 0.09 0.14 1.05
Tightness 0.00 0.20 0.10 0.09 75.44 0.00 None 0.04 0.37 2.27
Tuples 51 64 57.59 58.00 43,364 MAX VALUE 3,051.49 2.40 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 1.11 0.03 1.41
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 613 682 647.33 647.00 1,942 270,489,000 19.42 28.17 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 0 611 396.33 578.00 1,189 0 None 280.57 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 1,220 11,767 3,027.61 1,520.00 115,049 MAX VALUE 295.27 2,554.33 0.84 2.97
Cluster variables 69 489 146.13 77.00 5,553 MAX VALUE 181.86 107.71 0.74 2.81
Separator constraints 0 6,447 2,300.71 1,444.00 87,427 0 None 1,474.34 0.64 2.94
Separator variables 0 361 126.32 76.00 4,800 0 None 81.92 0.65 2.77
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 0.24 -1.41 0.00 0.00 2.21
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.11 0.03 1.41
Eccentricity 1 2 1.77 2.00 71 2.15e+09 21.49 0.42 0.24 0.53
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): 26,568
MCB cycles: 26,870
Triangles: 337,731
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 0.51 381.52 0.00 -511.97 0.00 0.00 2.22
Degree 68 76 73.37 74.00 55,244 MAX VALUE 3,234.31 1.50 0.02 1.79
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 80,610 MAX VALUE 29,519.70 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,713
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 1,002.34 0.95 0.25 1.25
Eccentricity 9 15 12.06 12.00 9,082 MAX VALUE 1,871.46 1.15 0.10 1.55
MCB cycle size 3 14 6.03 6.00 4,315 MAX VALUE 1,267.65 1.32 0.22 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: 6.81%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.77 613.94 0.00 -166.35 0.15 0.18 4.04
Degree 2 211 51.23 9.00 38,578 MAX VALUE 2,081.15 71.27 1.39 3.74
Eccentricity 3 6 4.78 5.00 3,601 MAX VALUE 1,172.95 0.56 0.12 0.85
Incidence graph
Density: 0.48%
MCB compute time (ms): 894
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 2.06 0.27
Eccentricity 3 5 4.05 4.00 3,211 MAX VALUE 1,107.45 0.26 0.07 0.29
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00