Instance: rand-2-40-16-250-350-44_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:03
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 10.43 10.00 83,430 MAX VALUE 18,608.30 1.92 0.18 2.07
Relational linkage 0.19 0.69 0.45 0.44 286.62 0.00 -524.67 0.08 0.17 1.62
Tightness 0.26 0.44 0.35 0.35 87.05 0.00 -264.75 0.03 0.09 3.38
Tuples 143 189 166.86 167.00 41,715 MAX VALUE 1,279.00 7.95 0.05 3.38
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 13.00 500 MAX VALUE 100.24 2.44 0.20 2.02
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: 9
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 12 96 44.50 40.00 712 1.95e+25 58.23 24.16 0.54 2.69
Cluster variables 8 25 15.19 14.00 243 3.02e+18 42.55 5.27 0.35 2.34
Separator constraints 0 82 28.88 24.50 462 0 None 21.44 0.74 2.69
Separator variables 0 23 12.69 12.50 203 0 None 5.66 0.45 2.34
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 66 790 265.24 202.50 10,079 MAX VALUE 204.62 179.98 0.68 3.49
Cluster variables 16 131 43.05 30.50 1,636 MAX VALUE 136.51 28.32 0.66 3.19
Separator constraints 0 436 186.45 170.00 7,085 0 None 102.81 0.55 3.60
Separator variables 0 97 36.47 27.00 1,386 0 None 21.32 0.58 3.15
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 0.20 0.42 0.32 0.32 12.70 0.00 -46.45 0.05 0.16 3.30
Degree 7 19 12.50 13.00 500 MAX VALUE 100.24 2.44 0.20 2.02
Eccentricity 2 3 2.20 2.00 88 2.82e+13 30.97 0.40 0.18 0.50
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 34.47 0.00 -6.19 0.09 0.11 3.16
Degree 7 36 25.15 30.00 1,006 MAX VALUE 125.02 9.25 0.37 2.75
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.62%
MCB compute time (ms): 2,966
MCB cycles: 3,001
Triangles: 11,781
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 0.62 0.50 0.50 125.59 0.00 -172.26 0.02 0.04 4.21
Degree 15 36 23.95 24.00 5,988 MAX VALUE 791.40 3.47 0.15 2.58
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.05 3.00 9,162 MAX VALUE 3,342.68 0.22 0.07 0.21
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 401
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 320.07 0.79 0.21 1.14
Eccentricity 6 9 7.30 7.00 1,826 MAX VALUE 496.41 0.55 0.07 0.81
MCB cycle size 4 9 6.68 7.00 1,409 MAX VALUE 396.69 1.22 0.18 1.57
Triangulated dual graph
Density: 52.74%
Triangles: 676,229
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.82 211.35 0.00 -43.06 0.08 0.09 4.57
Degree 15 191 131.32 167.00 32,830 MAX VALUE 1,179.30 57.23 0.44 3.87
Eccentricity 2 3 2.20 2.00 549 MAX VALUE 193.16 0.40 0.18 0.49
Triangulated minimal dual graph
Density: 11.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.81 0.77 202.64 0.00 -56.54 0.15 0.18 3.51
Degree 2 87 27.65 8.50 6,912 MAX VALUE 626.43 32.05 1.16 3.16
Eccentricity 3 5 3.75 4.00 938 MAX VALUE 327.90 0.54 0.14 0.80
Incidence graph
Density: 1.19%
MCB compute time (ms): 201
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 273.52 3.73 1.08 0.68
Eccentricity 5 7 5.90 6.00 1,710 MAX VALUE 514.08 0.33 0.06 0.39
MCB cycle size 6 8 6.04 6.00 1,274 MAX VALUE 379.21 0.27 0.05 0.09