Instance: rand-2-40-16-250-350-42_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:59
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.36 10.00 82,902 MAX VALUE 18,557.00 1.93 0.19 2.07
Relational linkage 0.19 0.69 0.45 0.44 288.12 0.00 -520.41 0.08 0.17 1.60
Tightness 0.27 0.43 0.35 0.35 88.08 0.00 -261.73 0.03 0.09 3.39
Tuples 145 186 165.80 166.00 41,451 MAX VALUE 1,277.42 7.79 0.05 3.39
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 19 12.50 12.00 500 MAX VALUE 99.66 3.23 0.26 2.41
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 18
Number of leaves: 9
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 10 96 48.22 34.50 868 3.40e+28 65.70 30.59 0.63 2.66
Cluster variables 8 23 14.72 12.00 265 2.96e+20 47.14 5.54 0.38 2.17
Separator constraints 0 82 34.33 18.50 618 0 None 29.05 0.85 2.74
Separator variables 0 22 12.50 10.00 225 0 None 5.98 0.48 2.25
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 44 847 270.53 213.00 10,280 MAX VALUE 203.63 198.97 0.74 3.53
Cluster variables 13 126 42.76 32.50 1,625 MAX VALUE 135.69 29.07 0.68 3.38
Separator constraints 0 515 189.37 163.00 7,196 0 None 118.53 0.63 3.49
Separator variables 0 101 36.18 29.00 1,375 0 None 22.30 0.62 3.30
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.14 0.53 0.34 0.35 13.71 0.00 -43.74 0.07 0.20 3.47
Degree 7 19 12.50 12.00 500 MAX VALUE 99.66 3.23 0.26 2.41
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 61.28%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.84 34.22 0.00 -6.49 0.10 0.11 3.13
Degree 7 34 23.90 28.50 956 MAX VALUE 122.48 9.31 0.39 2.70
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.91%
MCB compute time (ms): 2,146
MCB cycles: 3,795
Triangles: 12,891
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 0.60 0.51 0.50 127.95 0.00 -167.71 0.02 0.05 4.73
Degree 12 36 24.67 25.00 6,168 MAX VALUE 797.14 4.51 0.18 2.86
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.18 3.00 12,080 MAX VALUE 4,368.20 0.40 0.12 0.49
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 332
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.17 0.00 None 0.03 7.26 0.15
Degree 2 6 3.68 4.00 920 MAX VALUE 319.80 0.81 0.22 1.15
Eccentricity 6 9 7.32 7.00 1,829 MAX VALUE 496.55 0.65 0.09 0.97
MCB cycle size 3 9 6.63 7.00 1,398 MAX VALUE 395.26 1.16 0.18 1.52
Triangulated dual graph
Density: 52.56%
Triangles: 677,683
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.85 0.83 211.84 0.00 -42.45 0.08 0.09 4.90
Degree 12 198 130.86 154.50 32,716 MAX VALUE 1,176.13 57.99 0.44 4.15
Eccentricity 2 3 2.22 2.00 556 MAX VALUE 195.99 0.42 0.19 0.53
Triangulated minimal dual graph
Density: 10.71%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.81 0.75 201.66 0.00 -57.97 0.15 0.19 3.56
Degree 2 86 26.66 7.50 6,664 MAX VALUE 618.86 30.86 1.16 3.27
Eccentricity 3 5 3.68 4.00 919 MAX VALUE 322.95 0.51 0.14 0.73
Incidence graph
Density: 1.19%
MCB compute time (ms): 248
MCB cycles: 211
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 19 3.45 2.00 1,000 MAX VALUE 272.95 3.81 1.11 0.73
Eccentricity 5 7 5.92 6.00 1,716 MAX VALUE 515.09 0.33 0.06 0.41
MCB cycle size 6 8 6.05 6.00 1,276 MAX VALUE 379.50 0.30 0.05 0.11