Instance: rand-2-40-16-250-350-87_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:02
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 10.42 10.00 83,322 MAX VALUE 18,603.10 1.90 0.18 2.06
Relational linkage 0.19 0.69 0.46 0.44 291.56 0.00 -512.62 0.08 0.17 1.60
Tightness 0.27 0.43 0.35 0.35 87.26 0.00 -264.03 0.03 0.08 3.36
Tuples 146 188 166.64 166.50 41,661 MAX VALUE 1,278.71 7.51 0.05 3.36
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 4 18 12.50 13.00 500 MAX VALUE 99.03 3.45 0.28 2.33
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: 17
Number of leaves: 9
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 6 110 52.18 41.00 887 3.07e+26 60.99 37.72 0.72 2.75
Cluster variables 5 24 15.00 14.00 255 1.19e+19 43.92 6.90 0.46 2.07
Separator constraints 0 97 37.47 23.00 637 0 None 35.59 0.95 2.75
Separator variables 0 23 12.65 11.00 215 0 None 7.25 0.57 2.20
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 50 883 273.66 205.50 10,399 MAX VALUE 204.05 202.25 0.74 3.60
Cluster variables 14 131 42.74 30.00 1,624 MAX VALUE 135.62 29.07 0.68 3.32
Separator constraints 0 491 191.74 158.50 7,286 0 None 118.98 0.62 3.56
Separator variables 0 97 36.16 28.00 1,374 0 None 22.14 0.61 3.32
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 12.88 0.00 -46.36 0.07 0.23 3.54
Degree 4 18 12.50 13.00 500 MAX VALUE 99.03 3.45 0.28 2.33
Eccentricity 2 3 2.40 2.00 96 7.22e+14 34.21 0.49 0.20 0.67
Triangulated primal graph
Density: 62.95%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.87 0.84 34.94 0.00 -5.58 0.08 0.09 3.09
Degree 4 34 24.55 29.50 982 MAX VALUE 122.56 9.72 0.40 2.59
Eccentricity 2 3 2.20 2.00 88 2.82e+13 30.97 0.40 0.18 0.50
Dual graph
Density: 10.00%
MCB compute time (ms): 3,924
MCB cycles: 3,068
Triangles: 12,980
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 0.74 0.51 0.50 127.86 0.00 -168.21 0.04 0.07 4.69
Degree 13 34 24.90 25.00 6,226 MAX VALUE 799.71 4.27 0.17 2.81
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 9,358 MAX VALUE 3,414.85 0.22 0.07 0.20
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 548
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 319.46 0.84 0.23 1.19
Eccentricity 6 9 7.13 7.00 1,783 MAX VALUE 490.23 0.61 0.09 0.92
MCB cycle size 4 9 6.80 7.00 1,435 MAX VALUE 401.71 1.07 0.16 1.46
Triangulated dual graph
Density: 52.93%
Triangles: 687,403
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.85 0.82 212.04 0.00 -42.17 0.08 0.09 4.80
Degree 13 197 131.78 167.00 32,946 MAX VALUE 1,177.93 57.97 0.44 4.11
Eccentricity 2 3 2.17 2.00 543 MAX VALUE 190.72 0.38 0.17 0.46
Triangulated minimal dual graph
Density: 11.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.82 0.78 204.29 0.00 -54.46 0.15 0.18 3.47
Degree 2 87 27.95 7.00 6,988 MAX VALUE 621.31 32.60 1.17 3.17
Eccentricity 3 5 3.67 4.00 917 MAX VALUE 322.50 0.50 0.14 0.70
Incidence graph
Density: 1.19%
MCB compute time (ms): 377
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 272.31 3.84 1.11 0.72
Eccentricity 5 7 5.96 6.00 1,728 MAX VALUE 517.08 0.35 0.06 0.45
MCB cycle size 6 8 6.06 6.00 1,278 MAX VALUE 379.79 0.33 0.05 0.13