Instance: rand-2-40-11-414-200-49_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:36
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 4 11 8.80 9.00 80,110 MAX VALUE 19,690.60 1.33 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 245.82 0.00 -260.85 0.08 0.14 1.28
Tightness 0.10 0.34 0.20 0.20 82.97 0.00 -672.62 0.04 0.18 2.88
Tuples 80 109 96.75 97.00 40,055 MAX VALUE 1,892.43 4.42 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 13 29 20.70 20.00 828 MAX VALUE 120.61 3.54 0.17 2.49
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: 4
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 62 254 149.54 162.00 1,645 2.65e+23 53.93 62.34 0.42 2.27
Cluster variables 14 30 22.36 24.00 246 5.01e+14 33.85 5.26 0.24 2.15
Separator constraints 0 201 111.91 124.00 1,231 0 None 63.29 0.57 2.40
Separator variables 0 27 18.73 21.00 206 0 None 7.54 0.40 2.15
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 221 2,868 845.45 567.50 32,127 MAX VALUE 246.68 676.13 0.80 3.60
Cluster variables 29 235 76.50 52.50 2,907 MAX VALUE 157.46 54.56 0.71 3.51
Separator constraints 0 1,672 624.24 494.50 23,721 0 None 401.78 0.64 3.60
Separator variables 0 181 65.61 48.50 2,493 0 None 41.62 0.63 3.44
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 0.48 0.64 0.54 0.54 21.71 0.00 -24.52 0.03 0.06 3.62
Degree 13 29 20.70 20.00 828 MAX VALUE 120.61 3.54 0.17 2.49
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.90 36.34 0.02 -3.91 0.05 0.06 3.33
Degree 13 39 32.05 35.00 1,282 MAX VALUE 137.41 6.85 0.21 2.56
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.83%
MCB compute time (ms): 4,245
MCB cycles: 8,736
Triangles: 57,319
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 0.57 0.51 0.51 210.79 0.00 -279.55 0.01 0.02 5.11
Degree 28 54 40.61 41.00 16,812 MAX VALUE 1,530.52 4.80 0.12 2.95
Eccentricity 2 3 2.99 3.00 1,237 MAX VALUE 452.80 0.11 0.04 0.07
MCB cycle size 3 4 3.01 3.00 26,286 MAX VALUE 9,619.92 0.09 0.03 0.05
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,686
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.60 0.00 None 0.02 13.05 0.05
Degree 2 7 3.81 4.00 1,576 MAX VALUE 543.05 0.87 0.23 1.21
Eccentricity 6 10 8.16 8.00 3,377 MAX VALUE 867.39 0.70 0.09 1.06
MCB cycle size 3 9 6.63 7.00 2,486 MAX VALUE 701.45 1.28 0.19 1.61
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: 9.78%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.79 341.60 0.00 -85.57 0.14 0.17 3.78
Degree 2 139 40.41 8.00 16,730 MAX VALUE 1,109.20 50.48 1.25 3.48
Eccentricity 3 5 3.79 4.00 1,571 MAX VALUE 547.79 0.54 0.14 0.80
Incidence graph
Density: 0.81%
MCB compute time (ms): 471
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 29 3.65 2.00 1,656 MAX VALUE 407.57 5.40 1.48 0.52
Eccentricity 5 6 5.90 6.00 2,679 MAX VALUE 805.25 0.30 0.05 0.32
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00