Instance: rand-2-40-11-414-200-47_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:46
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 8.80 9.00 80,164 MAX VALUE 19,692.60 1.34 0.15 1.68
Relational linkage 0.27 0.73 0.55 0.55 241.09 0.00 -269.56 0.08 0.14 1.26
Tightness 0.10 0.31 0.20 0.20 82.74 0.00 -673.88 0.04 0.19 2.87
Tuples 83 109 96.82 97.00 40,082 MAX VALUE 1,892.70 4.49 0.05 2.87
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 21.00 828 MAX VALUE 120.80 2.88 0.14 2.25
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: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 48 258 136.40 124.00 1,364 7.47e+20 48.06 62.50 0.46 2.30
Cluster variables 14 31 21.80 21.00 218 1.85e+13 30.55 5.08 0.23 1.89
Separator constraints 0 211 95.00 93.50 950 0 None 56.07 0.59 2.30
Separator variables 0 28 17.80 19.00 178 0 None 7.18 0.40 1.89
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 235 2,996 859.37 587.50 32,656 MAX VALUE 247.27 702.39 0.82 3.56
Cluster variables 30 244 77.66 49.50 2,951 MAX VALUE 157.91 56.24 0.72 3.49
Separator constraints 0 1,729 640.37 493.50 24,334 0 None 418.68 0.65 3.60
Separator variables 0 189 66.76 47.50 2,537 0 None 43.00 0.64 3.49
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 0.44 0.59 0.53 0.52 21.09 0.00 -25.67 0.03 0.06 3.62
Degree 13 26 20.70 21.00 828 MAX VALUE 120.80 2.88 0.14 2.25
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.38 0.02 -3.85 0.05 0.06 3.12
Degree 13 39 32.15 35.00 1,286 MAX VALUE 137.54 6.92 0.22 2.14
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.73%
MCB compute time (ms): 8,005
MCB cycles: 9,847
Triangles: 55,535
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 0.50 209.47 0.00 -282.10 0.01 0.02 4.86
Degree 29 49 40.20 40.00 16,644 MAX VALUE 1,527.31 3.89 0.10 2.75
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.04 3.00 29,918 MAX VALUE 10,926.50 0.19 0.06 0.16
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,708
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 542.84 0.88 0.23 1.19
Eccentricity 7 10 8.36 8.00 3,460 MAX VALUE 877.56 0.69 0.08 1.05
MCB cycle size 4 9 6.51 7.00 2,441 MAX VALUE 695.26 1.22 0.19 1.57
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: 9.53%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.83 0.80 343.20 0.00 -83.67 0.14 0.17 3.72
Degree 2 135 39.36 8.00 16,296 MAX VALUE 1,094.88 50.28 1.28 3.35
Eccentricity 3 5 3.72 4.00 1,542 MAX VALUE 540.23 0.52 0.14 0.75
Incidence graph
Density: 0.81%
MCB compute time (ms): 664
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 407.76 5.37 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 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