Instance: rand-2-40-11-414-200-9_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:48
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 80,004 MAX VALUE 19,680.40 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 247.27 0.00 -257.98 0.08 0.14 1.24
Tightness 0.10 0.33 0.20 0.20 83.41 0.00 -670.51 0.04 0.18 2.88
Tuples 81 109 96.62 97.00 40,002 MAX VALUE 1,891.87 4.50 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 26 20.70 21.00 828 MAX VALUE 120.60 3.49 0.17 2.40
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 64 268 148.90 111.50 1,489 1.37e+21 48.67 76.33 0.51 2.30
Cluster variables 15 31 22.40 19.50 224 2.21e+13 30.73 6.05 0.27 1.83
Separator constraints 0 231 107.50 79.50 1,075 0 None 74.70 0.69 2.30
Separator variables 0 29 18.40 17.00 184 0 None 8.13 0.44 1.83
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 199 2,910 838.03 567.50 31,845 MAX VALUE 246.47 661.83 0.79 3.60
Cluster variables 28 240 76.32 50.50 2,900 MAX VALUE 157.42 54.10 0.71 3.49
Separator constraints 0 1,670 617.00 502.50 23,446 0 None 383.00 0.62 3.56
Separator variables 0 187 65.42 48.50 2,486 0 None 41.07 0.63 3.46
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 0.43 0.61 0.54 0.53 21.51 0.00 -24.93 0.04 0.07 3.52
Degree 14 26 20.70 21.00 828 MAX VALUE 120.60 3.49 0.17 2.40
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.91 36.64 0.03 -3.56 0.04 0.05 2.93
Degree 14 38 32.45 35.00 1,298 MAX VALUE 137.89 6.93 0.21 2.17
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.82%
MCB compute time (ms): 38,013
MCB cycles: 8,290
Triangles: 57,068
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 0.55 0.51 0.51 210.48 0.00 -280.14 0.01 0.02 5.02
Degree 27 50 40.57 41.00 16,798 MAX VALUE 1,530.17 4.71 0.12 2.91
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 4 3.00 3.00 24,909 MAX VALUE 9,118.72 0.07 0.02 0.03
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,567
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 6 9 7.92 8.00 3,279 MAX VALUE 855.39 0.64 0.08 0.97
MCB cycle size 4 10 6.66 7.00 2,496 MAX VALUE 704.86 1.13 0.17 1.52
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: 9.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.83 0.80 343.32 0.00 -83.07 0.14 0.16 3.76
Degree 2 139 41.15 8.00 17,038 MAX VALUE 1,109.34 51.71 1.26 3.42
Eccentricity 3 5 3.71 4.00 1,534 MAX VALUE 538.12 0.51 0.14 0.74
Incidence graph
Density: 0.81%
MCB compute time (ms): 605
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 407.57 5.40 1.48 0.51
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