Instance: rand-2-40-11-414-200-5_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:32
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 2 11 8.79 9.00 80,096 MAX VALUE 19,686.30 1.33 0.15 1.68
Relational linkage 0.18 0.73 0.55 0.55 242.46 0.00 -268.35 0.09 0.16 1.34
Tightness 0.10 0.33 0.20 0.20 83.02 0.00 -672.66 0.04 0.19 2.91
Tuples 81 109 96.73 97.00 40,048 MAX VALUE 1,892.33 4.57 0.05 2.91
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 28 20.70 21.00 828 MAX VALUE 120.60 3.49 0.17 2.47
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: 11
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 60 251 145.54 136.00 1,601 1.74e+23 53.51 66.06 0.45 2.40
Cluster variables 14 30 21.91 22.00 241 3.89e+14 33.59 5.48 0.25 2.27
Separator constraints 0 207 107.91 113.00 1,187 0 None 65.35 0.61 2.40
Separator variables 0 27 18.27 19.00 201 0 None 7.54 0.41 2.27
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 188 2,969 845.84 555.00 32,142 MAX VALUE 246.59 677.55 0.80 3.64
Cluster variables 27 236 76.68 51.00 2,914 MAX VALUE 157.49 54.85 0.72 3.31
Separator constraints 0 1,735 624.79 485.00 23,742 0 None 399.47 0.64 3.64
Separator variables 0 188 65.79 47.50 2,500 0 None 41.86 0.64 3.53
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 0.48 0.66 0.54 0.53 21.53 0.00 -24.88 0.04 0.07 3.57
Degree 13 28 20.70 21.00 828 MAX VALUE 120.60 3.49 0.17 2.47
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.91 36.31 0.02 -3.95 0.06 0.06 3.31
Degree 13 39 31.80 34.00 1,272 MAX VALUE 136.97 7.16 0.23 2.60
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.83%
MCB compute time (ms): 47,284
MCB cycles: 8,485
Triangles: 57,076
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 0.58 0.51 0.51 210.68 0.00 -279.78 0.01 0.02 5.14
Degree 26 52 40.58 41.00 16,800 MAX VALUE 1,530.43 4.57 0.11 2.92
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.01 3.00 25,516 MAX VALUE 9,339.27 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,548
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 543.12 0.86 0.23 1.21
Eccentricity 7 10 8.27 8.00 3,424 MAX VALUE 873.21 0.69 0.08 1.04
MCB cycle size 3 11 6.61 7.00 2,477 MAX VALUE 701.58 1.17 0.18 1.56
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: 9.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.78 341.30 0.00 -86.03 0.14 0.17 3.79
Degree 2 140 40.14 9.00 16,618 MAX VALUE 1,106.50 50.27 1.25 3.51
Eccentricity 3 6 4.01 4.00 1,659 MAX VALUE 570.06 0.59 0.15 0.89
Incidence graph
Density: 0.81%
MCB compute time (ms): 678
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 28 3.65 2.00 1,656 MAX VALUE 407.56 5.40 1.48 0.52
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