Instance: rand-2-40-16-250-350-94_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 82,856 MAX VALUE 18,557.20 1.89 0.18 2.05
Relational linkage 0.19 0.62 0.45 0.44 287.81 0.00 -520.64 0.07 0.16 1.55
Tightness 0.27 0.43 0.35 0.35 88.17 0.00 -261.33 0.03 0.08 3.30
Tuples 146 186 165.71 165.50 41,428 MAX VALUE 1,277.33 7.12 0.04 3.30
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 18 12.50 12.00 500 MAX VALUE 100.02 2.76 0.22 2.29
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: 16
Number of leaves: 9
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 14 107 47.12 36.50 754 2.08e+25 58.29 30.21 0.64 2.77
Cluster variables 8 25 14.88 12.50 238 1.85e+18 42.06 5.69 0.38 2.25
Separator constraints 0 96 31.50 20.50 504 0 None 27.11 0.86 2.69
Separator variables 0 24 12.38 10.50 198 0 None 5.98 0.48 2.34
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 49 877 272.21 209.00 10,344 MAX VALUE 204.39 200.75 0.74 3.60
Cluster variables 14 131 43.34 31.50 1,647 MAX VALUE 136.28 29.66 0.68 3.28
Separator constraints 0 524 192.55 167.00 7,317 0 None 119.48 0.62 3.64
Separator variables 0 101 36.76 29.00 1,397 0 None 22.57 0.61 3.28
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 0.18 0.44 0.32 0.32 12.86 0.00 -45.88 0.05 0.15 3.39
Degree 7 18 12.50 12.00 500 MAX VALUE 100.02 2.76 0.22 2.29
Eccentricity 2 3 2.17 2.00 87 1.88e+13 30.56 0.38 0.17 0.46
Triangulated primal graph
Density: 63.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.86 0.83 34.58 0.00 -6.04 0.09 0.10 3.09
Degree 7 34 24.90 30.00 996 MAX VALUE 124.34 9.35 0.38 2.56
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.73%
MCB compute time (ms): 10,676
MCB cycles: 2,816
Triangles: 12,153
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 0.51 0.50 126.54 0.00 -170.38 0.02 0.04 4.59
Degree 13 34 24.22 24.00 6,054 MAX VALUE 793.65 3.76 0.16 2.70
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.01 3.00 8,476 MAX VALUE 3,101.75 0.10 0.03 0.06
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 265
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 319.79 0.81 0.22 1.17
Eccentricity 6 8 7.15 7.00 1,787 MAX VALUE 490.94 0.56 0.08 0.83
MCB cycle size 4 10 6.73 7.00 1,421 MAX VALUE 399.06 1.15 0.17 1.53
Triangulated dual graph
Density: 54.37%
Triangles: 729,486
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.76 1.00 0.85 0.83 213.21 0.00 -40.68 0.07 0.08 4.86
Degree 13 194 135.38 158.00 33,846 MAX VALUE 1,185.36 58.66 0.43 3.84
Eccentricity 2 3 2.20 2.00 551 MAX VALUE 193.97 0.40 0.18 0.51
Triangulated minimal dual graph
Density: 10.93%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.78 203.59 0.00 -55.39 0.15 0.18 3.46
Degree 2 87 27.21 7.00 6,802 MAX VALUE 617.91 31.80 1.17 3.21
Eccentricity 3 5 3.70 4.00 925 MAX VALUE 324.74 0.49 0.13 0.70
Incidence graph
Density: 1.19%
MCB compute time (ms): 182
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 18 3.45 2.00 1,000 MAX VALUE 273.30 3.76 1.09 0.72
Eccentricity 5 7 5.90 6.00 1,710 MAX VALUE 514.06 0.34 0.06 0.41
MCB cycle size 6 8 6.04 6.00 1,274 MAX VALUE 379.21 0.27 0.05 0.09