Instance: rand-2-40-16-250-350-52_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 10.49 11.00 83,950 MAX VALUE 18,662.90 1.91 0.18 2.06
Relational linkage 0.25 0.69 0.45 0.44 290.31 0.00 -514.57 0.07 0.16 1.56
Tightness 0.27 0.41 0.34 0.34 86.04 0.00 -267.56 0.03 0.08 3.29
Tuples 152 187 167.90 168.00 41,975 MAX VALUE 1,280.60 7.35 0.04 3.29
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 12.00 500 MAX VALUE 99.77 3.02 0.24 2.19
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: 10
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 9 106 46.44 34.00 743 7.95e+24 57.34 33.21 0.72 2.69
Cluster variables 6 25 14.81 13.00 237 1.46e+18 41.82 6.07 0.41 1.98
Separator constraints 0 98 30.81 19.50 493 0 None 30.56 0.99 2.77
Separator variables 0 24 12.31 12.00 197 0 None 6.33 0.51 2.10
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 58 825 268.21 207.00 10,192 MAX VALUE 203.69 196.65 0.73 3.49
Cluster variables 15 128 42.84 32.00 1,628 MAX VALUE 135.87 29.18 0.68 3.21
Separator constraints 0 464 187.76 159.50 7,135 0 None 116.86 0.62 3.53
Separator variables 0 99 36.26 29.00 1,378 0 None 22.32 0.62 3.17
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 0.32 0.32 12.74 0.00 -46.49 0.06 0.19 3.39
Degree 5 20 12.50 12.00 500 MAX VALUE 99.77 3.02 0.24 2.19
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 63.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.87 0.84 34.75 0.00 -5.83 0.09 0.10 3.01
Degree 5 34 24.85 30.00 994 MAX VALUE 124.00 9.50 0.38 2.52
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.82%
MCB compute time (ms): 1,393
MCB cycles: 3,990
Triangles: 12,513
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 0.66 0.51 0.50 126.83 0.00 -169.91 0.02 0.05 4.52
Degree 14 35 24.46 24.00 6,114 MAX VALUE 795.32 4.23 0.17 2.78
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.21 3.00 12,826 MAX VALUE 4,629.07 0.42 0.13 0.53
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 360
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.03 9.43 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 320.05 0.79 0.21 1.14
Eccentricity 6 8 7.20 7.00 1,800 MAX VALUE 492.82 0.54 0.07 0.79
MCB cycle size 3 11 6.80 7.00 1,434 MAX VALUE 401.00 1.15 0.17 1.52
Triangulated dual graph
Density: 52.93%
Triangles: 690,729
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.84 212.44 0.00 -41.68 0.08 0.09 4.84
Degree 14 199 131.81 155.00 32,952 MAX VALUE 1,177.33 58.34 0.44 4.12
Eccentricity 2 3 2.20 2.00 549 MAX VALUE 193.16 0.40 0.18 0.49
Triangulated minimal dual graph
Density: 11.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.77 202.69 0.00 -56.38 0.14 0.18 3.54
Degree 2 89 27.70 8.00 6,926 MAX VALUE 622.83 32.22 1.16 3.25
Eccentricity 3 5 3.74 4.00 936 MAX VALUE 327.45 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 224
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 273.05 3.79 1.10 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 6.07 6.00 1,280 MAX VALUE 380.07 0.36 0.06 0.15