Instance: rand-2-40-11-414-200-37_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:39
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 8.82 9.00 80,300 MAX VALUE 19,714.50 1.31 0.15 1.66
Relational linkage 0.27 0.73 0.56 0.55 247.82 0.00 -257.77 0.08 0.15 1.28
Tightness 0.12 0.31 0.20 0.20 82.18 0.00 -676.23 0.04 0.18 2.85
Tuples 84 107 96.98 97.00 40,150 MAX VALUE 1,893.44 4.29 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 27 20.70 21.00 828 MAX VALUE 120.74 3.08 0.15 2.39
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: 7
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 50 252 133.00 128.50 1,330 6.49e+20 47.92 58.93 0.44 2.30
Cluster variables 14 31 21.70 21.50 217 1.79e+13 30.51 4.96 0.23 1.89
Separator constraints 0 204 91.60 101.00 916 0 None 52.05 0.57 2.30
Separator variables 0 28 17.70 20.00 177 0 None 7.06 0.40 1.89
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 220 2,865 823.58 550.50 31,296 MAX VALUE 246.48 635.26 0.77 3.60
Cluster variables 29 244 75.82 51.00 2,881 MAX VALUE 157.39 53.16 0.70 3.42
Separator constraints 0 1,643 603.97 482.50 22,951 0 None 366.36 0.61 3.64
Separator variables 0 183 64.92 47.00 2,467 0 None 40.25 0.62 3.42
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 0.60 0.53 0.53 21.25 0.00 -25.39 0.04 0.07 3.47
Degree 13 27 20.70 21.00 828 MAX VALUE 120.74 3.08 0.15 2.39
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.91 0.89 36.34 0.02 -3.90 0.05 0.06 3.16
Degree 13 38 32.10 35.00 1,284 MAX VALUE 137.47 6.95 0.22 2.08
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.76%
MCB compute time (ms): 68,068
MCB cycles: 8,030
Triangles: 55,994
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 0.50 209.72 0.00 -281.61 0.01 0.02 4.99
Degree 28 51 40.31 41.00 16,690 MAX VALUE 1,528.11 4.19 0.10 2.82
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 24,115 MAX VALUE 8,829.05 0.06 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,775
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 12.17 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.99 0.87 0.23 1.18
Eccentricity 7 11 8.80 9.00 3,642 MAX VALUE 897.90 0.93 0.11 1.33
MCB cycle size 3 10 6.60 7.00 2,475 MAX VALUE 700.12 1.26 0.19 1.63
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: 9.70%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.83 0.79 342.29 0.00 -84.83 0.14 0.17 3.72
Degree 2 139 40.04 9.00 16,578 MAX VALUE 1,102.47 50.15 1.25 3.46
Eccentricity 3 5 3.78 4.00 1,564 MAX VALUE 545.98 0.53 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 532
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 407.70 5.38 1.47 0.51
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