Instance: rand-2-40-8-753-100-14_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:14
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 753
General features
Number of coarse blocks: 12,048
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 1,506 MAX VALUE 521.94 0.00 0.00 0.00
Coarse blocks size 3 8 7.20 7.00 86,750 MAX VALUE 23,692.40 0.85 0.12 1.15
Relational linkage 0.38 0.75 0.63 0.62 201.50 0.00 -150.94 0.08 0.13 0.99
Tightness 0.00 0.22 0.10 0.09 75.27 0.00 None 0.04 0.36 2.26
Tuples 50 64 57.60 58.00 43,375 MAX VALUE 3,051.72 2.33 0.04 2.26
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 36 39 37.65 38.00 1,506 MAX VALUE 145.12 0.94 0.02 1.31
Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Tree decomposition
Number of clusters: 3
Number of leaves: 2
Tree depth: 1
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 645 681 657.33 646.00 1,972 283,752,000 19.46 16.74 0.03 1.10
Cluster variables 37 38 37.33 37.00 112 52,022 10.86 0.47 0.01 0.64
Separator constraints 0 610 406.33 609.00 1,219 0 None 287.32 0.71 1.10
Separator variables 0 36 24.00 36.00 72 0 None 16.97 0.71 0.64
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 1,292 11,760 3,030.08 1,520.00 115,143 MAX VALUE 295.29 2,561.24 0.85 2.85
Cluster variables 71 489 146.24 77.00 5,557 MAX VALUE 181.88 107.90 0.74 2.73
Separator constraints 0 6,440 2,303.37 1,444.00 87,528 0 None 1,477.74 0.64 2.81
Separator variables 0 361 126.42 76.00 4,804 0 None 82.06 0.65 2.69
Primal graph
Density: 96.54%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.96 0.97 0.96 0.96 38.59 0.24 -1.43 0.00 0.00 2.07
Degree 36 39 37.65 38.00 1,506 MAX VALUE 145.12 0.94 0.02 1.31
Eccentricity 1 2 1.80 2.00 72 4.29e+09 22.18 0.40 0.22 0.50
Triangulated primal graph
Density: 99.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.76 0.79 -0.24 0.00 0.00 0.52
Degree 36 39 38.75 39.00 1,550 MAX VALUE 146.28 0.70 0.02 0.52
Eccentricity 1 2 1.15 1.00 46 64 4.16 0.36 0.31 0.42
Dual graph
Density: 9.75%
MCB compute time (ms): 32,149
MCB cycles: 26,863
Triangles: 337,473
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 0.51 0.51 0.51 381.46 0.00 -512.08 0.00 0.00 2.06
Degree 70 76 73.35 73.00 55,230 MAX VALUE 3,234.17 1.29 0.02 1.66
Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 80,589 MAX VALUE 29,512.00 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,108
MCB cycles: 714
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 16.43 0.03
Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,001.73 0.97 0.25 1.26
Eccentricity 9 14 11.59 12.00 8,726 MAX VALUE 1,841.20 1.14 0.10 1.53
MCB cycle size 3 15 6.05 6.00 4,319 MAX VALUE 1,268.83 1.28 0.21 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: 6.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 609.08 0.00 -173.50 0.15 0.19 4.05
Degree 2 210 47.70 9.00 35,920 MAX VALUE 2,061.06 66.21 1.39 3.76
Eccentricity 3 6 4.34 4.00 3,271 MAX VALUE 1,098.36 0.61 0.14 0.92
Incidence graph
Density: 0.48%
MCB compute time (ms): 943
MCB cycles: 714
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 39 3.80 2.00 3,012 MAX VALUE 667.06 7.80 2.05 0.27
Eccentricity 3 5 4.05 4.00 3,208 MAX VALUE 1,106.85 0.25 0.06 0.27
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00