Instance: rand-2-40-16-250-350-30_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:53
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 83,038 MAX VALUE 18,571.60 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 287.31 0.00 -522.25 0.08 0.17 1.59
Tightness 0.27 0.44 0.35 0.35 87.82 0.00 -262.47 0.03 0.09 3.37
Tuples 143 186 166.08 166.00 41,519 MAX VALUE 1,277.84 7.71 0.05 3.37
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 18 12.50 12.50 500 MAX VALUE 99.64 3.00 0.24 2.29
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: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 6 91 48.89 43.50 880 2.47e+28 65.38 28.37 0.58 2.66
Cluster variables 6 23 15.22 14.50 274 4.40e+20 47.53 5.67 0.37 2.45
Separator constraints 0 82 35.00 31.00 630 0 None 27.21 0.78 2.74
Separator variables 0 22 13.00 12.50 234 0 None 6.21 0.48 2.55
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 55 866 268.82 226.50 10,215 MAX VALUE 204.11 190.69 0.71 3.60
Cluster variables 14 128 42.79 31.00 1,626 MAX VALUE 136.01 28.32 0.66 3.26
Separator constraints 0 499 188.42 165.50 7,160 0 None 112.24 0.60 3.56
Separator variables 0 95 36.21 29.50 1,376 0 None 21.43 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 0.10 0.47 0.32 0.33 12.78 0.00 -47.20 0.08 0.23 3.47
Degree 5 18 12.50 12.50 500 MAX VALUE 99.64 3.00 0.24 2.29
Eccentricity 2 3 2.33 2.00 93 2.14e+14 33.00 0.47 0.20 0.63
Triangulated primal graph
Density: 62.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.84 34.31 0.00 -6.36 0.09 0.11 3.13
Degree 5 34 24.35 29.00 974 MAX VALUE 123.15 9.20 0.38 2.76
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): 3,226
MCB cycles: 3,232
Triangles: 12,400
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 0.64 0.51 0.50 126.86 0.00 -169.84 0.02 0.05 4.51
Degree 13 34 24.44 25.00 6,110 MAX VALUE 795.57 3.91 0.16 2.74
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.08 3.00 9,941 MAX VALUE 3,621.20 0.26 0.09 0.27
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 458
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.37 0.00 None 0.01 9.37 0.07
Degree 2 6 3.68 3.50 920 MAX VALUE 319.58 0.83 0.23 1.16
Eccentricity 6 8 7.18 7.00 1,794 MAX VALUE 491.92 0.56 0.08 0.83
MCB cycle size 3 10 6.70 7.00 1,413 MAX VALUE 397.13 1.26 0.19 1.61
Triangulated dual graph
Density: 52.25%
Triangles: 664,353
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.84 0.81 211.19 0.00 -43.26 0.08 0.09 4.82
Degree 13 192 130.11 157.00 32,528 MAX VALUE 1,176.25 57.04 0.44 3.98
Eccentricity 2 3 2.17 2.00 543 MAX VALUE 190.72 0.38 0.17 0.46
Triangulated minimal dual graph
Density: 11.40%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.79 203.95 0.00 -54.60 0.14 0.17 3.50
Degree 2 88 28.38 7.50 7,094 MAX VALUE 626.38 33.05 1.16 3.20
Eccentricity 3 5 3.75 4.00 937 MAX VALUE 327.74 0.53 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 309
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 272.92 3.79 1.10 0.72
Eccentricity 5 7 5.96 6.00 1,727 MAX VALUE 516.85 0.37 0.06 0.50
MCB cycle size 6 8 6.07 6.00 1,280 MAX VALUE 380.07 0.36 0.06 0.15