Instance: rand-2-40-11-414-200-78_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 1 11 8.81 9.00 80,224 MAX VALUE 19,700.80 1.34 0.15 1.68
Relational linkage 0.09 0.73 0.55 0.55 243.36 0.00 -266.12 0.08 0.15 1.26
Tightness 0.10 0.31 0.20 0.20 82.50 0.00 -674.93 0.04 0.18 2.85
Tuples 84 109 96.89 97.00 40,112 MAX VALUE 1,893.03 4.39 0.05 2.85
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 16 26 20.70 21.00 828 MAX VALUE 120.76 3.02 0.15 2.15
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: 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 79 246 145.18 124.00 1,597 1.92e+23 53.61 66.63 0.46 2.27
Cluster variables 17 30 22.09 20.00 243 4.41e+14 33.72 5.45 0.25 1.54
Separator constraints 0 214 107.55 75.00 1,183 0 None 67.81 0.63 2.40
Separator variables 0 28 18.45 16.00 203 0 None 7.58 0.41 1.54
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 246 3,041 840.87 564.00 31,953 MAX VALUE 246.84 663.78 0.79 3.56
Cluster variables 31 251 76.79 49.50 2,918 MAX VALUE 157.69 54.50 0.71 3.35
Separator constraints 0 1,715 621.45 475.50 23,615 0 None 382.55 0.62 3.56
Separator variables 0 188 65.89 47.50 2,504 0 None 41.31 0.63 3.30
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 0.62 0.53 0.52 21.15 0.00 -25.56 0.03 0.06 3.43
Degree 16 26 20.70 21.00 828 MAX VALUE 120.76 3.02 0.15 2.15
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.91 0.90 36.30 0.02 -3.94 0.05 0.06 2.75
Degree 16 38 31.90 35.00 1,276 MAX VALUE 137.15 7.08 0.22 2.05
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.75%
MCB compute time (ms): 40,966
MCB cycles: 8,187
Triangles: 55,841
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 0.53 0.51 0.50 209.87 0.00 -281.32 0.01 0.02 4.74
Degree 30 49 40.28 40.00 16,676 MAX VALUE 1,528.09 3.92 0.10 2.72
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 24,616 MAX VALUE 9,010.16 0.08 0.03 0.04
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,751
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 543.23 0.86 0.23 1.19
Eccentricity 7 10 8.57 9.00 3,550 MAX VALUE 887.81 0.80 0.09 1.18
MCB cycle size 4 9 6.64 7.00 2,489 MAX VALUE 702.11 1.27 0.19 1.59
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: 9.43%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.82 0.78 339.01 0.00 -88.65 0.14 0.17 3.83
Degree 2 140 38.94 8.50 16,122 MAX VALUE 1,102.81 48.75 1.25 3.46
Eccentricity 3 5 4.20 4.00 1,738 MAX VALUE 589.71 0.59 0.14 0.88
Incidence graph
Density: 0.81%
MCB compute time (ms): 648
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 407.72 5.38 1.47 0.49
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