Instance: rand-2-40-16-250-350-13_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:58
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 4 16 10.43 10.00 83,430 MAX VALUE 18,612.70 1.91 0.18 2.06
Relational linkage 0.25 0.62 0.45 0.44 287.81 0.00 -519.42 0.07 0.15 1.49
Tightness 0.26 0.45 0.35 0.35 87.05 0.00 -264.57 0.03 0.08 3.28
Tuples 142 190 166.86 166.50 41,715 MAX VALUE 1,279.06 7.19 0.04 3.28
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 20 12.50 12.00 500 MAX VALUE 99.84 2.93 0.23 2.32
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: 8
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 13 96 47.67 40.00 858 4.70e+28 66.02 28.59 0.60 2.71
Cluster variables 7 23 14.94 14.00 269 4.10e+20 47.46 5.36 0.36 2.45
Separator constraints 0 88 33.78 27.00 608 0 None 27.13 0.80 2.74
Separator variables 0 22 12.72 12.50 229 0 None 5.87 0.46 2.55
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 59 848 266.66 202.00 10,133 MAX VALUE 203.53 192.96 0.72 3.60
Cluster variables 15 130 42.45 30.00 1,613 MAX VALUE 135.69 28.35 0.67 3.30
Separator constraints 0 475 186.47 162.00 7,086 0 None 116.14 0.62 3.46
Separator variables 0 97 35.87 28.00 1,363 0 None 21.50 0.60 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 0.23 0.47 0.33 0.33 13.28 0.00 -44.49 0.05 0.14 3.25
Degree 6 20 12.50 12.00 500 MAX VALUE 99.84 2.93 0.23 2.32
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 61.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.86 0.87 34.21 0.00 -6.54 0.10 0.12 3.20
Degree 6 35 24.10 28.00 964 MAX VALUE 122.94 9.31 0.39 2.89
Eccentricity 2 3 2.08 2.00 83 3.71e+12 28.94 0.26 0.13 0.27
Dual graph
Density: 9.79%
MCB compute time (ms): 5,170
MCB cycles: 2,988
Triangles: 12,384
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 0.63 0.51 0.50 127.23 0.00 -169.13 0.02 0.05 4.47
Degree 14 36 24.38 24.00 6,094 MAX VALUE 795.21 3.86 0.16 2.73
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.04 3.00 9,088 MAX VALUE 3,318.33 0.20 0.07 0.17
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 489
MCB cycles: 211
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 3.68 4.00 920 MAX VALUE 320.04 0.79 0.21 1.14
Eccentricity 6 9 7.24 7.00 1,811 MAX VALUE 494.39 0.53 0.07 0.77
MCB cycle size 4 10 6.76 7.00 1,427 MAX VALUE 399.74 1.18 0.18 1.55
Triangulated dual graph
Density: 51.91%
Triangles: 662,613
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.82 211.53 0.00 -42.78 0.08 0.09 4.77
Degree 14 190 129.25 159.00 32,312 MAX VALUE 1,172.47 57.88 0.45 4.04
Eccentricity 2 3 2.21 2.00 553 MAX VALUE 194.78 0.41 0.18 0.52
Triangulated minimal dual graph
Density: 10.81%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.81 0.77 202.79 0.00 -56.32 0.15 0.18 3.45
Degree 2 86 26.92 7.00 6,730 MAX VALUE 617.47 31.49 1.17 3.19
Eccentricity 3 5 3.70 4.00 924 MAX VALUE 324.26 0.52 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 375
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 20 3.45 2.00 1,000 MAX VALUE 273.13 3.78 1.10 0.72
Eccentricity 5 7 5.91 6.00 1,714 MAX VALUE 514.78 0.32 0.05 0.38
MCB cycle size 6 8 6.02 6.00 1,270 MAX VALUE 378.64 0.19 0.03 0.05