Instance: rand-2-40-11-414-200-6_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:30
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 19,677.80 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 246.00 0.00 -260.65 0.08 0.14 1.25
Tightness 0.11 0.31 0.20 0.20 83.41 0.00 -670.69 0.04 0.19 2.89
Tuples 84 108 96.62 97.00 40,002 MAX VALUE 1,891.86 4.54 0.05 2.89
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 29 20.70 21.00 828 MAX VALUE 120.66 3.40 0.16 2.45
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: 5
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 80 258 153.20 125.50 1,532 2.52e+21 49.28 69.08 0.45 2.30
Cluster variables 17 31 22.90 21.00 229 2.91e+13 31.00 5.72 0.25 1.70
Separator constraints 0 236 111.80 80.00 1,118 0 None 69.58 0.62 2.30
Separator variables 0 30 18.90 17.50 189 0 None 8.07 0.43 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 231 2,931 833.00 571.50 31,654 MAX VALUE 246.50 651.10 0.78 3.51
Cluster variables 30 241 76.18 51.50 2,895 MAX VALUE 157.42 53.84 0.71 3.43
Separator constraints 0 1,635 612.29 506.50 23,267 0 None 375.07 0.61 3.55
Separator variables 0 186 65.29 48.00 2,481 0 None 40.87 0.63 3.48
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 0.45 0.61 0.54 0.54 21.54 0.00 -24.81 0.03 0.06 3.65
Degree 15 29 20.70 21.00 828 MAX VALUE 120.66 3.40 0.16 2.45
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.90 36.67 0.03 -3.53 0.04 0.05 2.97
Degree 16 39 32.70 35.00 1,308 MAX VALUE 138.33 6.70 0.20 2.20
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.81%
MCB compute time (ms): 24,790
MCB cycles: 7,998
Triangles: 56,950
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 0.51 210.41 0.00 -280.27 0.01 0.02 5.17
Degree 29 53 40.52 40.50 16,774 MAX VALUE 1,529.64 4.73 0.12 2.95
Eccentricity 2 3 2.99 3.00 1,238 MAX VALUE 453.20 0.10 0.03 0.05
MCB cycle size 3 4 3.00 3.00 23,996 MAX VALUE 8,787.28 0.02 0.01 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,839
MCB cycles: 376
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 11.94 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.97 0.87 0.23 1.19
Eccentricity 7 10 8.45 8.00 3,497 MAX VALUE 882.08 0.67 0.08 1.02
MCB cycle size 3 9 6.58 7.00 2,473 MAX VALUE 700.17 1.30 0.20 1.64
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: 9.25%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.78 339.81 0.00 -88.13 0.14 0.17 3.76
Degree 2 134 38.21 9.00 15,820 MAX VALUE 1,094.61 48.20 1.26 3.47
Eccentricity 3 5 3.97 4.00 1,645 MAX VALUE 566.95 0.56 0.14 0.84
Incidence graph
Density: 0.81%
MCB compute time (ms): 689
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 29 3.65 2.00 1,656 MAX VALUE 407.63 5.40 1.48 0.51
Eccentricity 5 6 5.90 6.00 2,680 MAX VALUE 805.44 0.30 0.05 0.32
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00