Instance: rand-2-40-16-250-350-12_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:55
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 10.44 10.00 83,542 MAX VALUE 18,625.10 1.90 0.18 2.06
Relational linkage 0.25 0.69 0.45 0.44 291.19 0.00 -513.43 0.07 0.16 1.56
Tightness 0.27 0.45 0.35 0.35 86.83 0.00 -265.29 0.03 0.09 3.35
Tuples 141 187 167.08 167.00 41,771 MAX VALUE 1,279.36 7.60 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 8 17 12.50 12.00 500 MAX VALUE 100.25 2.42 0.19 2.09
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: 8
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 19 96 44.75 38.00 716 2.93e+25 58.64 24.32 0.54 2.60
Cluster variables 9 25 15.19 14.00 243 3.35e+18 42.65 5.13 0.34 2.43
Separator constraints 0 80 29.12 24.50 466 0 None 21.50 0.74 2.60
Separator variables 0 23 12.69 12.50 203 0 None 5.53 0.44 2.43
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 57 835 265.11 202.00 10,074 MAX VALUE 204.13 187.92 0.71 3.60
Cluster variables 15 132 43.00 31.00 1,634 MAX VALUE 136.26 29.07 0.68 3.28
Separator constraints 0 487 186.37 157.50 7,082 0 None 112.48 0.60 3.56
Separator variables 0 101 36.42 28.00 1,384 0 None 22.18 0.61 3.27
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 0.25 0.46 0.34 0.34 13.44 0.00 -44.06 0.05 0.15 3.33
Degree 8 17 12.50 12.00 500 MAX VALUE 100.25 2.42 0.19 2.09
Eccentricity 2 3 2.17 2.00 87 1.88e+13 30.56 0.38 0.17 0.46
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 34.41 0.00 -6.25 0.09 0.11 3.20
Degree 8 36 25.15 29.00 1,006 MAX VALUE 125.20 9.15 0.36 2.65
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.61%
MCB compute time (ms): 7,904
MCB cycles: 2,823
Triangles: 11,747
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 0.57 0.50 0.50 125.94 0.00 -171.54 0.02 0.03 4.38
Degree 14 32 23.94 24.00 5,984 MAX VALUE 791.45 3.26 0.14 2.55
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.01 3.00 8,505 MAX VALUE 3,111.74 0.11 0.04 0.07
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 518
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.27 0.00 None 0.01 9.22 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 320.15 0.79 0.21 1.11
Eccentricity 6 8 7.04 7.00 1,759 MAX VALUE 487.10 0.51 0.07 0.75
MCB cycle size 3 9 6.85 7.00 1,446 MAX VALUE 403.13 1.09 0.16 1.45
Triangulated dual graph
Density: 53.05%
Triangles: 697,659
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.83 212.78 0.00 -41.23 0.07 0.09 4.74
Degree 14 196 132.09 158.00 33,022 MAX VALUE 1,177.82 58.85 0.45 3.94
Eccentricity 2 3 2.22 2.00 554 MAX VALUE 195.18 0.41 0.19 0.52
Triangulated minimal dual graph
Density: 11.22%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.82 0.78 203.84 0.00 -54.88 0.14 0.18 3.52
Degree 2 91 27.93 7.50 6,982 MAX VALUE 626.53 32.56 1.17 3.19
Eccentricity 3 5 3.72 4.00 929 MAX VALUE 325.63 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 375
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 273.54 3.73 1.08 0.69
Eccentricity 5 7 5.89 6.00 1,709 MAX VALUE 513.90 0.33 0.06 0.39
MCB cycle size 6 8 6.01 6.00 1,268 MAX VALUE 378.35 0.14 0.02 0.03