Instance: rand-2-40-16-250-350-7_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 3 16 10.40 10.00 83,226 MAX VALUE 18,593.10 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 290.75 0.00 -513.76 0.07 0.16 1.54
Tightness 0.27 0.46 0.35 0.35 87.45 0.00 -263.47 0.03 0.08 3.33
Tuples 139 187 166.45 167.00 41,613 MAX VALUE 1,278.42 7.48 0.04 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 18 12.50 12.50 500 MAX VALUE 100.24 2.45 0.20 2.22
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: 15
Number of leaves: 8
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 14 114 52.33 45.00 785 2.22e+24 56.06 34.49 0.66 2.62
Cluster variables 9 26 16.13 15.00 242 4.65e+17 40.68 6.03 0.37 2.21
Separator constraints 0 106 35.67 19.00 535 0 None 32.43 0.91 2.62
Separator variables 0 25 13.47 12.00 202 0 None 6.51 0.48 2.34
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 64 855 266.53 198.00 10,128 MAX VALUE 204.28 187.46 0.70 3.60
Cluster variables 16 133 43.21 31.50 1,642 MAX VALUE 136.45 28.87 0.67 3.37
Separator constraints 0 438 187.71 153.50 7,133 0 None 108.56 0.58 3.60
Separator variables 0 96 36.63 28.50 1,392 0 None 21.83 0.60 3.40
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 0.21 0.42 0.30 0.29 11.87 0.00 -49.02 0.04 0.15 3.45
Degree 8 18 12.50 12.50 500 MAX VALUE 100.24 2.45 0.20 2.22
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Triangulated primal graph
Density: 67.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.87 0.86 34.96 0.00 -5.56 0.08 0.09 3.12
Degree 8 37 26.35 31.00 1,054 MAX VALUE 127.21 9.16 0.35 2.61
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.62%
MCB compute time (ms): 3,307
MCB cycles: 3,124
Triangles: 11,761
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 0.58 0.50 0.50 125.45 0.00 -172.52 0.02 0.03 4.48
Degree 15 33 23.96 24.00 5,990 MAX VALUE 791.50 3.43 0.14 2.63
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.07 3.00 9,587 MAX VALUE 3,493.85 0.25 0.08 0.25
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 490
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 320.02 0.79 0.21 1.15
Eccentricity 6 8 7.13 7.00 1,783 MAX VALUE 490.39 0.55 0.08 0.83
MCB cycle size 4 9 6.91 7.00 1,457 MAX VALUE 404.46 1.15 0.17 1.52
Triangulated dual graph
Density: 53.43%
Triangles: 698,262
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.82 212.08 0.00 -42.11 0.08 0.09 4.80
Degree 15 195 133.04 164.00 33,260 MAX VALUE 1,181.95 57.72 0.43 4.07
Eccentricity 2 3 2.14 2.00 535 MAX VALUE 187.48 0.35 0.16 0.40
Triangulated minimal dual graph
Density: 11.45%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.78 204.28 0.00 -54.27 0.14 0.17 3.44
Degree 2 87 28.52 7.00 7,130 MAX VALUE 626.12 33.12 1.16 3.16
Eccentricity 3 5 3.68 4.00 921 MAX VALUE 323.52 0.51 0.14 0.73
Incidence graph
Density: 1.19%
MCB compute time (ms): 312
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 18 3.45 2.00 1,000 MAX VALUE 273.53 3.73 1.08 0.71
Eccentricity 5 6 5.88 6.00 1,705 MAX VALUE 513.23 0.33 0.06 0.37
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13