Instance: rand-2-40-16-250-350-88_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:05
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 10.41 10.00 83,266 MAX VALUE 18,595.00 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 287.25 0.00 -522.72 0.08 0.17 1.61
Tightness 0.28 0.43 0.35 0.35 87.37 0.00 -263.75 0.03 0.09 3.40
Tuples 146 185 166.53 167.00 41,633 MAX VALUE 1,278.53 7.71 0.05 3.40
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 17 12.50 13.00 500 MAX VALUE 99.96 2.80 0.22 2.20
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: 7
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 15 111 47.56 40.50 761 5.24e+25 59.22 28.05 0.59 2.69
Cluster variables 8 25 15.19 14.00 243 3.28e+18 42.64 5.08 0.33 2.19
Separator constraints 0 91 31.94 26.50 511 0 None 24.43 0.77 2.69
Separator variables 0 23 12.69 13.00 203 0 None 5.49 0.43 2.19
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 59 815 266.39 203.50 10,123 MAX VALUE 203.82 189.49 0.71 3.53
Cluster variables 15 125 42.50 31.00 1,615 MAX VALUE 135.86 28.02 0.66 3.30
Separator constraints 0 474 186.60 158.50 7,091 0 None 112.89 0.60 3.56
Separator variables 0 93 35.92 28.50 1,365 0 None 21.24 0.59 3.26
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 0.24 0.48 0.32 0.31 12.86 0.00 -45.90 0.05 0.17 3.55
Degree 7 17 12.50 13.00 500 MAX VALUE 99.96 2.80 0.22 2.20
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 64.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.84 34.39 0.00 -6.28 0.09 0.11 3.18
Degree 7 35 25.15 29.50 1,006 MAX VALUE 125.21 9.13 0.36 2.63
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.74%
MCB compute time (ms): 4,801
MCB cycles: 3,301
Triangles: 12,178
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 0.60 0.51 0.50 126.55 0.00 -170.41 0.02 0.04 4.52
Degree 14 32 24.26 24.00 6,064 MAX VALUE 793.97 3.77 0.16 2.67
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.11 3.00 10,254 MAX VALUE 3,727.43 0.31 0.10 0.34
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 527
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 319.65 0.82 0.22 1.15
Eccentricity 6 9 7.20 7.00 1,800 MAX VALUE 492.67 0.59 0.08 0.90
MCB cycle size 4 10 6.77 7.00 1,428 MAX VALUE 400.07 1.16 0.17 1.52
Triangulated dual graph
Density: 51.47%
Triangles: 645,006
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.84 0.82 210.62 0.00 -43.95 0.08 0.10 4.87
Degree 14 187 128.17 151.50 32,042 MAX VALUE 1,171.35 56.95 0.44 3.92
Eccentricity 2 3 2.23 2.00 557 MAX VALUE 196.40 0.42 0.19 0.54
Triangulated minimal dual graph
Density: 11.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 202.09 0.00 -57.35 0.15 0.18 3.55
Degree 2 88 27.44 7.00 6,860 MAX VALUE 621.81 31.84 1.16 3.22
Eccentricity 3 5 3.77 4.00 943 MAX VALUE 329.40 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 329
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 17 3.45 2.00 1,000 MAX VALUE 273.25 3.77 1.09 0.70
Eccentricity 5 7 5.91 6.00 1,714 MAX VALUE 514.73 0.34 0.06 0.43
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07