Instance: rand-2-40-8-753-100-81_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:13
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 2 8 7.22 7.00 86,972 MAX VALUE 23,722.70 0.85 0.12 1.15
Relational linkage 0.25 0.75 0.63 0.62 200.75 0.00 -152.72 0.09 0.14 1.04
Tightness 0.00 0.22 0.10 0.09 73.53 0.00 None 0.04 0.39 2.29
Tuples 50 64 57.75 58.00 43,486 MAX VALUE 3,053.60 2.41 0.04 2.29
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.40
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 543 684 625.33 649.00 1,876 241,046,000 19.30 59.95 0.10 1.10
Cluster variables 34 38 36.33 37.00 109 47,804 10.77 1.70 0.05 1.10
Separator constraints 0 613 374.33 510.00 1,123 0 None 268.01 0.72 1.10
Separator variables 0 36 23.00 33.00 69 0 None 16.31 0.71 1.10
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 1,188 11,721 3,037.74 1,520.00 115,434 MAX VALUE 295.31 2,578.92 0.85 3.05
Cluster variables 68 489 146.40 77.00 5,563 MAX VALUE 181.89 108.33 0.74 2.78
Separator constraints 0 6,595 2,310.71 1,444.00 87,807 0 None 1,497.34 0.65 3.05
Separator variables 0 365 126.58 76.00 4,810 0 None 82.53 0.65 2.81
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 0.97 0.97 38.63 0.25 -1.39 0.00 0.00 2.40
Degree 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.22 0.03 1.40
Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56
Triangulated primal graph
Density: 98.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.64 0.69 -0.37 0.00 0.00 0.76
Degree 33 39 38.60 39.00 1,544 MAX VALUE 146.11 1.07 0.03 0.69
Eccentricity 1 2 1.23 1.00 49 512 6.24 0.42 0.34 0.53
Dual graph
Density: 9.76%
MCB compute time (ms): 40,300
MCB cycles: 26,877
Triangles: 337,909
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 0.51 381.55 0.00 -511.90 0.00 0.00 2.18
Degree 67 76 73.38 74.00 55,254 MAX VALUE 3,234.42 1.65 0.02 1.84
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 80,631 MAX VALUE 29,527.40 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,355
MCB cycles: 715
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 1,002.17 0.96 0.25 1.26
Eccentricity 9 15 12.05 12.00 9,077 MAX VALUE 1,871.00 1.17 0.10 1.56
MCB cycle size 3 14 6.03 6.00 4,311 MAX VALUE 1,268.24 1.27 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: 6.73%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 611.51 0.00 -169.67 0.15 0.18 4.08
Degree 2 221 50.64 9.00 38,132 MAX VALUE 2,082.38 70.14 1.39 3.76
Eccentricity 3 6 4.24 4.00 3,195 MAX VALUE 1,080.27 0.61 0.14 0.92
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,075
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 667.05 7.81 2.06 0.27
Eccentricity 3 5 4.06 4.00 3,216 MAX VALUE 1,108.50 0.28 0.07 0.32
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00