Instance: rand-2-40-11-414-200-36_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:46
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 8.80 9.00 80,164 MAX VALUE 19,697.00 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 245.82 0.00 -260.86 0.08 0.14 1.27
Tightness 0.11 0.34 0.20 0.20 82.74 0.00 -673.84 0.04 0.19 2.87
Tuples 80 108 96.82 97.00 40,082 MAX VALUE 1,892.69 4.50 0.05 2.87
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 28 20.70 21.00 828 MAX VALUE 120.81 2.88 0.14 2.32
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: 6
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 71 253 138.80 128.00 1,388 1.28e+21 48.60 53.65 0.39 2.30
Cluster variables 16 31 22.10 21.00 221 2.25e+13 30.75 4.57 0.21 2.03
Separator constraints 0 176 97.40 97.00 974 0 None 49.05 0.50 2.30
Separator variables 0 26 18.10 19.00 181 0 None 6.96 0.38 2.03
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 229 3,014 840.08 560.50 31,923 MAX VALUE 246.86 664.64 0.79 3.60
Cluster variables 30 250 76.82 51.00 2,919 MAX VALUE 157.74 54.39 0.71 3.44
Separator constraints 0 1,648 621.08 468.50 23,601 0 None 384.39 0.62 3.60
Separator variables 0 183 65.92 47.00 2,505 0 None 41.19 0.62 3.37
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 0.46 0.58 0.52 0.53 20.94 0.00 -25.94 0.03 0.05 3.58
Degree 15 28 20.70 21.00 828 MAX VALUE 120.81 2.88 0.14 2.32
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.89 36.35 0.02 -3.89 0.05 0.06 3.27
Degree 15 39 32.30 35.00 1,292 MAX VALUE 137.82 6.79 0.21 2.34
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.73%
MCB compute time (ms): 4,143
MCB cycles: 9,228
Triangles: 55,592
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 0.50 209.47 0.00 -282.10 0.01 0.01 4.95
Degree 29 52 40.20 40.00 16,644 MAX VALUE 1,527.25 3.97 0.10 2.77
Eccentricity 2 3 2.99 3.00 1,238 MAX VALUE 453.20 0.10 0.03 0.05
MCB cycle size 3 4 3.02 3.00 27,856 MAX VALUE 10,187.50 0.14 0.04 0.09
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,705
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 1.20 0.00 None 0.03 10.03 0.07
Degree 2 6 3.81 4.00 1,576 MAX VALUE 543.54 0.85 0.22 1.19
Eccentricity 7 11 8.65 9.00 3,583 MAX VALUE 891.76 0.78 0.09 1.17
MCB cycle size 3 10 6.46 7.00 2,424 MAX VALUE 692.35 1.23 0.19 1.58
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: 9.17%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.79 339.79 0.00 -88.69 0.15 0.18 3.73
Degree 2 135 37.86 7.00 15,674 MAX VALUE 1,094.79 47.40 1.25 3.50
Eccentricity 3 5 4.05 4.00 1,678 MAX VALUE 575.09 0.57 0.14 0.86
Incidence graph
Density: 0.81%
MCB compute time (ms): 727
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 407.78 5.37 1.47 0.50
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