Instance: rand-2-40-11-414-200-85_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:33
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 3 11 8.80 9.00 80,112 MAX VALUE 19,689.90 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 244.82 0.00 -263.26 0.08 0.15 1.29
Tightness 0.10 0.32 0.20 0.20 82.96 0.00 -672.84 0.04 0.18 2.88
Tuples 82 109 96.75 97.00 40,056 MAX VALUE 1,892.44 4.46 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 26 20.70 21.00 828 MAX VALUE 120.83 2.72 0.13 2.26
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 5
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 68 245 151.54 129.00 1,667 3.01e+23 54.06 67.00 0.44 2.40
Cluster variables 15 30 22.82 22.00 251 6.28e+14 34.07 5.47 0.24 2.27
Separator constraints 0 226 113.91 103.00 1,253 0 None 69.70 0.61 2.40
Separator variables 0 29 19.18 20.00 211 0 None 7.85 0.41 2.40
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 199 2,867 821.79 555.50 31,228 MAX VALUE 246.69 618.67 0.75 3.49
Cluster variables 28 240 75.84 48.00 2,882 MAX VALUE 157.52 52.64 0.69 3.40
Separator constraints 0 1,566 603.26 488.00 22,924 0 None 354.22 0.59 3.49
Separator variables 0 182 64.95 45.50 2,468 0 None 39.84 0.61 3.40
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.59 0.52 0.52 20.95 0.00 -25.92 0.03 0.05 3.65
Degree 14 26 20.70 21.00 828 MAX VALUE 120.83 2.72 0.13 2.26
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.46 0.02 -3.77 0.05 0.05 3.23
Degree 14 39 32.30 35.00 1,292 MAX VALUE 137.76 6.84 0.21 2.46
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.71%
MCB compute time (ms): 11,938
MCB cycles: 8,777
Triangles: 55,119
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.55 0.51 0.50 209.26 0.00 -282.51 0.01 0.02 4.74
Degree 27 48 40.12 40.00 16,608 MAX VALUE 1,526.74 3.52 0.09 2.62
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.02 3.00 26,509 MAX VALUE 9,693.73 0.14 0.05 0.10
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,385
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 1.00 0.00 0.00 1.50 0.00 None 0.05 14.44 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.67 0.89 0.23 1.22
Eccentricity 7 10 8.50 9.00 3,517 MAX VALUE 883.80 0.82 0.10 1.21
MCB cycle size 3 9 6.48 7.00 2,430 MAX VALUE 693.78 1.20 0.18 1.57
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: 9.58%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.83 0.80 342.20 0.00 -85.13 0.14 0.17 3.73
Degree 2 139 39.58 7.00 16,388 MAX VALUE 1,098.62 50.01 1.26 3.38
Eccentricity 3 5 4.07 4.00 1,687 MAX VALUE 576.91 0.60 0.15 0.91
Incidence graph
Density: 0.81%
MCB compute time (ms): 616
MCB cycles: 375
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 26 3.65 2.00 1,656 MAX VALUE 407.79 5.36 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00