Instance: rand-2-40-16-250-350-16_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:05
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 83,032 MAX VALUE 18,569.80 1.92 0.19 2.07
Relational linkage 0.19 0.62 0.44 0.44 284.31 0.00 -528.44 0.07 0.16 1.55
Tightness 0.27 0.44 0.35 0.35 87.83 0.00 -262.56 0.03 0.09 3.40
Tuples 144 188 166.06 165.50 41,516 MAX VALUE 1,277.79 8.12 0.05 3.40
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 9 18 12.50 12.00 500 MAX VALUE 100.31 2.39 0.19 2.15
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: 15
Number of leaves: 7
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 19 108 49.87 42.00 748 3.77e+24 56.59 26.22 0.53 2.62
Cluster variables 10 26 16.27 16.00 244 7.33e+17 41.14 4.97 0.31 2.43
Separator constraints 0 81 33.20 31.00 498 0 None 22.81 0.69 2.62
Separator variables 0 23 13.60 14.00 204 0 None 5.58 0.41 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 73 860 269.89 202.50 10,256 MAX VALUE 204.63 194.30 0.72 3.60
Cluster variables 17 133 43.47 31.50 1,652 MAX VALUE 136.57 29.57 0.68 3.33
Separator constraints 0 502 191.24 156.00 7,267 0 None 116.20 0.61 3.60
Separator variables 0 100 36.89 29.50 1,402 0 None 22.65 0.61 3.25
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 0.17 0.47 0.31 0.31 12.36 0.00 -47.58 0.05 0.17 3.48
Degree 9 18 12.50 12.00 500 MAX VALUE 100.31 2.39 0.19 2.15
Eccentricity 2 3 2.17 2.00 87 1.88e+13 30.56 0.38 0.17 0.46
Triangulated primal graph
Density: 67.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.87 0.86 34.64 0.00 -5.95 0.09 0.10 3.24
Degree 9 37 26.45 31.00 1,058 MAX VALUE 127.84 8.82 0.33 2.80
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.60%
MCB compute time (ms): 5,647
MCB cycles: 2,898
Triangles: 11,719
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 0.56 0.50 0.50 125.45 0.00 -172.49 0.01 0.03 4.47
Degree 16 33 23.91 24.00 5,978 MAX VALUE 791.02 3.39 0.14 2.60
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 8,826 MAX VALUE 3,221.75 0.21 0.07 0.19
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 300
MCB cycles: 213
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.63 0.00 None 0.02 7.33 0.12
Degree 2 6 3.68 4.00 920 MAX VALUE 319.87 0.82 0.22 1.16
Eccentricity 6 8 7.24 7.00 1,811 MAX VALUE 494.33 0.54 0.08 0.81
MCB cycle size 3 10 6.62 7.00 1,410 MAX VALUE 398.76 1.18 0.18 1.53
Triangulated dual graph
Density: 53.94%
Triangles: 717,406
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.83 212.98 0.00 -41.00 0.07 0.09 4.81
Degree 16 198 134.30 166.00 33,576 MAX VALUE 1,183.65 58.60 0.44 4.02
Eccentricity 2 3 2.21 2.00 552 MAX VALUE 194.37 0.41 0.18 0.51
Triangulated minimal dual graph
Density: 10.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.78 201.97 0.00 -57.60 0.15 0.18 3.51
Degree 2 90 27.02 8.00 6,754 MAX VALUE 620.97 31.25 1.16 3.35
Eccentricity 3 5 3.84 4.00 961 MAX VALUE 333.87 0.56 0.15 0.84
Incidence graph
Density: 1.19%
MCB compute time (ms): 243
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 273.59 3.73 1.08 0.70
Eccentricity 5 7 5.90 6.00 1,710 MAX VALUE 514.06 0.34 0.06 0.41
MCB cycle size 6 8 6.09 6.00 1,284 MAX VALUE 380.65 0.40 0.07 0.18