Instance: rand-2-40-11-414-200-2_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:43
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 8.79 9.00 80,052 MAX VALUE 19,684.50 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 245.82 0.00 -261.33 0.08 0.15 1.29
Tightness 0.12 0.31 0.20 0.20 83.21 0.00 -670.82 0.04 0.18 2.85
Tuples 83 106 96.68 97.00 40,026 MAX VALUE 1,892.15 4.31 0.04 2.85
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 26 20.70 20.50 828 MAX VALUE 120.77 2.98 0.14 2.33
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: 10
Number of leaves: 6
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 58 257 143.40 122.00 1,434 1.02e+21 48.37 72.30 0.50 2.16
Cluster variables 14 31 22.30 21.00 223 2.14e+13 30.69 5.92 0.27 2.03
Separator constraints 0 237 102.00 80.00 1,020 0 None 69.21 0.68 2.16
Separator variables 0 30 18.30 18.00 183 0 None 7.99 0.44 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 237 3,153 843.24 567.50 32,043 MAX VALUE 246.96 667.30 0.79 3.60
Cluster variables 30 251 76.68 50.00 2,914 MAX VALUE 157.70 54.23 0.71 3.37
Separator constraints 0 1,593 623.95 492.50 23,710 0 None 388.64 0.62 3.60
Separator variables 0 177 65.79 47.50 2,500 0 None 41.05 0.62 3.37
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 0.58 0.53 0.53 21.20 0.00 -25.43 0.02 0.04 3.40
Degree 13 26 20.70 20.50 828 MAX VALUE 120.77 2.98 0.14 2.33
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.86 1.00 0.91 0.90 36.59 0.03 -3.61 0.04 0.05 3.01
Degree 13 37 32.40 35.00 1,296 MAX VALUE 137.82 6.93 0.21 2.09
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.75%
MCB compute time (ms): 46,418
MCB cycles: 8,000
Triangles: 55,757
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 0.56 0.51 0.50 209.60 0.00 -281.85 0.01 0.02 4.92
Degree 29 50 40.26 40.00 16,666 MAX VALUE 1,527.70 4.05 0.10 2.78
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.00 3.00 24,011 MAX VALUE 8,792.06 0.04 0.01 0.01
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,789
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 542.34 0.90 0.24 1.21
Eccentricity 7 10 8.19 8.00 3,391 MAX VALUE 869.06 0.72 0.09 1.08
MCB cycle size 4 10 6.61 7.00 2,477 MAX VALUE 701.07 1.22 0.18 1.59
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: 9.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.83 0.80 341.80 0.00 -85.08 0.14 0.17 3.76
Degree 2 141 40.22 8.00 16,650 MAX VALUE 1,103.02 50.76 1.26 3.43
Eccentricity 3 5 3.79 4.00 1,568 MAX VALUE 546.93 0.54 0.14 0.80
Incidence graph
Density: 0.81%
MCB compute time (ms): 535
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 26 3.65 2.00 1,656 MAX VALUE 407.73 5.37 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00