Instance: rand-2-40-11-414-200-70_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:42
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 3 11 8.78 9.00 79,956 MAX VALUE 19,671.30 1.33 0.15 1.68
Relational linkage 0.27 0.73 0.55 0.55 243.27 0.00 -266.24 0.08 0.15 1.33
Tightness 0.10 0.31 0.20 0.20 83.60 0.00 -668.72 0.04 0.17 2.83
Tuples 84 109 96.57 97.00 39,978 MAX VALUE 1,891.67 4.24 0.04 2.83
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 12 27 20.70 21.00 828 MAX VALUE 120.72 3.12 0.15 2.28
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 6
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 45 247 147.54 105.00 1,623 1.85e+23 53.57 69.28 0.47 2.27
Cluster variables 13 30 22.18 19.00 244 4.37e+14 33.71 5.73 0.26 2.02
Separator constraints 0 229 109.91 86.00 1,209 0 None 70.28 0.64 2.27
Separator variables 0 29 18.55 18.00 204 0 None 7.82 0.42 2.15
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 207 3,017 832.87 565.50 31,649 MAX VALUE 246.66 651.62 0.78 3.64
Cluster variables 28 246 76.24 50.50 2,897 MAX VALUE 157.52 53.76 0.71 3.27
Separator constraints 0 1,644 613.13 513.50 23,299 0 None 378.03 0.62 3.64
Separator variables 0 177 65.34 47.00 2,483 0 None 40.79 0.62 3.32
Primal graph
Density: 53.08%
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 0.59 0.53 0.53 21.19 0.00 -25.48 0.03 0.06 3.50
Degree 12 27 20.70 21.00 828 MAX VALUE 120.72 3.12 0.15 2.28
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.92%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.91 0.90 36.39 0.02 -3.85 0.05 0.06 3.20
Degree 12 38 31.95 35.00 1,278 MAX VALUE 137.15 7.17 0.22 2.37
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.77%
MCB compute time (ms): 7,703
MCB cycles: 8,030
Triangles: 56,063
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.57 0.51 0.50 210.11 0.00 -280.86 0.01 0.02 4.88
Degree 27 50 40.34 40.00 16,700 MAX VALUE 1,528.68 3.91 0.10 2.74
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 3 3.00 3.00 24,090 MAX VALUE 8,821.86 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,588
MCB cycles: 375
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 3.81 4.00 1,576 MAX VALUE 543.10 0.87 0.23 1.19
Eccentricity 6 10 8.29 8.00 3,433 MAX VALUE 873.95 0.77 0.09 1.15
MCB cycle size 4 10 6.56 7.00 2,461 MAX VALUE 698.28 1.24 0.19 1.60
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 9.84%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.83 0.78 341.87 0.00 -85.13 0.14 0.17 3.78
Degree 2 137 40.62 9.00 16,818 MAX VALUE 1,111.43 50.81 1.25 3.44
Eccentricity 3 5 3.72 4.00 1,540 MAX VALUE 539.72 0.51 0.14 0.75
Incidence graph
Density: 0.81%
MCB compute time (ms): 614
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.68 5.38 1.48 0.50
Eccentricity 5 6 5.91 6.00 2,681 MAX VALUE 805.62 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00