Instance: rand-2-40-16-250-350-4_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:04
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 3 16 10.38 10.00 83,028 MAX VALUE 18,571.90 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 289.56 0.00 -516.50 0.07 0.16 1.55
Tightness 0.26 0.46 0.35 0.35 87.84 0.00 -262.58 0.03 0.09 3.42
Tuples 139 189 166.06 166.00 41,514 MAX VALUE 1,277.77 8.33 0.05 3.42
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 19 12.50 12.00 500 MAX VALUE 99.50 3.30 0.26 2.40
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: 18
Number of leaves: 9
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 9 96 49.28 46.00 887 3.30e+28 65.67 31.75 0.64 2.74
Cluster variables 6 23 14.78 14.50 266 2.33e+20 46.90 5.96 0.40 2.14
Separator constraints 0 87 35.39 23.00 637 0 None 30.18 0.85 2.63
Separator variables 0 22 12.56 10.50 226 0 None 6.39 0.51 2.26
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 78 886 273.18 208.50 10,381 MAX VALUE 204.17 204.01 0.75 3.46
Cluster variables 16 133 42.82 32.50 1,627 MAX VALUE 135.82 29.19 0.68 3.10
Separator constraints 0 516 191.79 159.00 7,288 0 None 121.64 0.63 3.53
Separator variables 0 101 36.24 30.00 1,377 0 None 22.21 0.61 3.08
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 0.23 0.62 0.33 0.33 13.38 0.00 -44.74 0.08 0.23 3.55
Degree 5 19 12.50 12.00 500 MAX VALUE 99.50 3.30 0.26 2.40
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 61.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.64 1.00 0.86 0.85 34.46 0.00 -6.21 0.10 0.11 3.09
Degree 5 37 23.95 28.00 958 MAX VALUE 122.12 9.53 0.40 2.77
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.94%
MCB compute time (ms): 5,230
MCB cycles: 3,004
Triangles: 12,924
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 0.50 128.33 0.00 -167.15 0.03 0.06 4.75
Degree 15 35 24.74 25.00 6,186 MAX VALUE 798.36 4.27 0.17 2.81
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.03 3.00 9,100 MAX VALUE 3,325.55 0.17 0.06 0.13
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 335
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 4.00 920 MAX VALUE 319.54 0.83 0.22 1.16
Eccentricity 6 9 7.15 7.00 1,788 MAX VALUE 490.98 0.59 0.08 0.90
MCB cycle size 4 9 6.63 7.00 1,398 MAX VALUE 395.52 1.13 0.17 1.47
Triangulated dual graph
Density: 53.24%
Triangles: 700,897
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.83 212.62 0.00 -41.39 0.07 0.09 4.70
Degree 15 191 132.56 159.50 33,140 MAX VALUE 1,178.93 58.64 0.44 3.85
Eccentricity 2 3 2.18 2.00 545 MAX VALUE 191.53 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 10.61%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.80 0.75 200.75 0.00 -59.04 0.15 0.18 3.53
Degree 2 88 26.41 8.00 6,602 MAX VALUE 617.65 30.72 1.16 3.24
Eccentricity 3 5 3.74 4.00 934 MAX VALUE 326.88 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 240
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 19 3.45 2.00 1,000 MAX VALUE 272.79 3.82 1.11 0.73
Eccentricity 5 7 5.90 6.00 1,711 MAX VALUE 514.27 0.32 0.05 0.38
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11