Instance: rand-2-40-11-414-200-32_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:44
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 8.81 9.00 80,216 MAX VALUE 19,704.60 1.31 0.15 1.66
Relational linkage 0.27 0.82 0.56 0.55 246.91 0.00 -259.16 0.08 0.15 1.29
Tightness 0.12 0.31 0.20 0.20 82.53 0.00 -674.42 0.04 0.18 2.85
Tuples 83 107 96.88 97.00 40,108 MAX VALUE 1,893.00 4.32 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 14 25 20.70 21.00 828 MAX VALUE 120.90 2.47 0.12 2.18
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: 4
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 57 251 162.50 157.00 1,625 3.59e+21 49.63 72.94 0.45 2.16
Cluster variables 15 31 24.10 24.50 241 4.75e+13 31.49 5.91 0.25 2.16
Separator constraints 0 229 121.10 119.00 1,211 0 None 76.15 0.63 2.30
Separator variables 0 30 20.10 21.50 201 0 None 8.63 0.43 2.30
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 234 2,802 818.66 566.50 31,109 MAX VALUE 246.81 608.75 0.74 3.60
Cluster variables 30 235 75.97 48.00 2,887 MAX VALUE 157.62 52.52 0.69 3.30
Separator constraints 0 1,466 600.82 476.50 22,831 0 None 345.16 0.57 3.60
Separator variables 0 176 65.08 46.00 2,473 0 None 39.79 0.61 3.33
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 0.40 0.57 0.53 0.53 21.02 0.00 -25.81 0.03 0.06 3.55
Degree 14 25 20.70 21.00 828 MAX VALUE 120.90 2.47 0.12 2.18
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 85.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.86 1.00 0.92 0.92 36.92 0.04 -3.24 0.04 0.04 3.20
Degree 14 38 33.30 36.00 1,332 MAX VALUE 139.17 6.42 0.19 2.20
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.68%
MCB compute time (ms): 8,908
MCB cycles: 8,481
Triangles: 54,651
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.55 0.50 0.50 208.84 0.00 -283.32 0.01 0.01 4.61
Degree 29 48 39.99 40.00 16,556 MAX VALUE 1,525.59 3.35 0.08 2.59
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.01 3.00 25,545 MAX VALUE 9,346.67 0.11 0.04 0.07
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,312
MCB cycles: 376
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 542.55 0.90 0.24 1.21
Eccentricity 7 10 8.40 8.00 3,476 MAX VALUE 879.44 0.70 0.08 1.06
MCB cycle size 3 10 6.53 7.00 2,457 MAX VALUE 697.83 1.28 0.20 1.62
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 0.54 1.00 0.83 0.80 341.83 0.00 -85.28 0.14 0.17 3.81
Degree 2 136 40.05 8.50 16,580 MAX VALUE 1,103.11 50.60 1.26 3.42
Eccentricity 3 5 3.77 4.00 1,562 MAX VALUE 545.46 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 897
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 25 3.65 2.00 1,656 MAX VALUE 407.87 5.35 1.47 0.49
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