Instance: rand-2-40-16-250-350-9_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:51
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 4 16 10.40 10.00 83,224 MAX VALUE 18,590.50 1.91 0.18 2.06
Relational linkage 0.25 0.62 0.45 0.44 290.50 0.00 -515.75 0.08 0.17 1.61
Tightness 0.28 0.42 0.35 0.35 87.45 0.00 -263.38 0.03 0.08 3.28
Tuples 149 185 166.45 167.00 41,612 MAX VALUE 1,278.44 7.12 0.04 3.28
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 20 12.50 12.50 500 MAX VALUE 99.58 3.24 0.26 2.47
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 8
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 10 106 48.25 29.50 772 1.49e+25 57.96 32.71 0.68 2.39
Cluster variables 6 25 14.69 12.00 235 1.26e+18 41.68 5.86 0.40 2.39
Separator constraints 0 95 32.62 17.50 522 0 None 28.83 0.88 2.69
Separator variables 0 23 12.19 10.50 195 0 None 6.10 0.50 2.39
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 51 920 268.97 205.00 10,221 MAX VALUE 203.14 201.42 0.75 3.60
Cluster variables 14 134 42.47 32.00 1,614 MAX VALUE 135.58 28.56 0.67 3.31
Separator constraints 0 487 187.79 164.50 7,136 0 None 120.29 0.64 3.60
Separator variables 0 94 35.89 29.50 1,364 0 None 21.62 0.60 3.30
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.18 0.50 0.34 0.36 13.76 0.00 -43.79 0.08 0.22 3.50
Degree 5 20 12.50 12.50 500 MAX VALUE 99.58 3.24 0.26 2.47
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Triangulated primal graph
Density: 63.46%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.86 0.85 34.57 0.00 -6.01 0.08 0.10 3.13
Degree 5 34 24.75 30.00 990 MAX VALUE 123.88 9.33 0.38 2.59
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.91%
MCB compute time (ms): 1,304
MCB cycles: 4,077
Triangles: 12,876
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 0.67 0.51 0.50 127.60 0.00 -168.46 0.03 0.05 4.83
Degree 13 37 24.68 25.00 6,170 MAX VALUE 797.04 4.58 0.19 2.90
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.18 3.00 12,982 MAX VALUE 4,693.67 0.40 0.13 0.49
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 320
MCB cycles: 211
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 6 3.68 3.50 920 MAX VALUE 319.62 0.83 0.22 1.15
Eccentricity 6 9 7.16 7.00 1,790 MAX VALUE 491.28 0.59 0.08 0.89
MCB cycle size 4 9 6.69 7.00 1,412 MAX VALUE 398.30 1.05 0.16 1.42
Triangulated dual graph
Density: 52.32%
Triangles: 673,422
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.85 0.82 211.89 0.00 -42.37 0.08 0.09 4.81
Degree 13 195 130.29 166.00 32,572 MAX VALUE 1,174.92 57.87 0.44 3.95
Eccentricity 2 3 2.22 2.00 554 MAX VALUE 195.18 0.41 0.19 0.52
Triangulated minimal dual graph
Density: 11.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.77 203.56 0.00 -55.25 0.14 0.18 3.46
Degree 2 89 27.44 7.00 6,860 MAX VALUE 620.06 32.02 1.17 3.18
Eccentricity 3 4 3.64 4.00 911 MAX VALUE 320.97 0.48 0.13 0.65
Incidence graph
Density: 1.19%
MCB compute time (ms): 213
MCB cycles: 211
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 20 3.45 2.00 1,000 MAX VALUE 272.87 3.82 1.11 0.74
Eccentricity 5 7 5.95 6.00 1,725 MAX VALUE 516.57 0.35 0.06 0.46
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13