Instance: rand-2-40-8-753-100-32_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:12
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 7.22 7.00 86,932 MAX VALUE 23,719.50 0.84 0.12 1.14
Relational linkage 0.38 0.75 0.63 0.62 202.25 0.00 -149.83 0.08 0.13 0.99
Tightness 0.00 0.20 0.10 0.09 73.84 0.00 None 0.04 0.37 2.23
Tuples 51 64 57.72 58.00 43,466 MAX VALUE 3,053.32 2.30 0.04 2.23
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.35 0.04 1.53
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 611 683 636.67 616.00 1,910 257,065,000 19.36 32.83 0.05 1.10
Cluster variables 36 38 36.67 36.00 110 49,248 10.80 0.94 0.03 0.64
Separator constraints 0 581 385.67 576.00 1,157 0 None 272.71 0.71 1.10
Separator variables 0 35 23.33 35.00 70 0 None 16.50 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 1,186 11,665 3,038.84 1,520.00 115,476 MAX VALUE 295.30 2,580.31 0.85 3.02
Cluster variables 68 488 146.40 77.00 5,563 MAX VALUE 181.88 108.33 0.74 2.83
Separator constraints 0 6,598 2,311.63 1,444.00 87,842 0 None 1,500.22 0.65 3.02
Separator variables 0 365 126.58 76.00 4,810 0 None 82.56 0.65 2.83
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 0.98 0.97 0.97 38.65 0.25 -1.37 0.00 0.00 2.42
Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.35 0.04 1.53
Eccentricity 1 2 1.68 2.00 67 134,218,000 18.71 0.47 0.28 0.63
Triangulated primal graph
Density: 99.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.67 0.72 -0.33 0.00 0.00 0.61
Degree 35 39 38.65 39.00 1,546 MAX VALUE 146.17 0.91 0.02 0.61
Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50
Dual graph
Density: 9.76%
MCB compute time (ms): 38,725
MCB cycles: 26,884
Triangles: 338,173
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 0.51 381.61 0.00 -511.78 0.00 0.00 2.34
Degree 67 76 73.40 74.00 55,268 MAX VALUE 3,234.57 1.82 0.02 1.94
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 80,652 MAX VALUE 29,535.10 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,872
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 1,002.27 0.95 0.25 1.25
Eccentricity 9 14 11.88 12.00 8,947 MAX VALUE 1,860.40 1.10 0.09 1.50
MCB cycle size 3 14 6.02 6.00 4,301 MAX VALUE 1,265.08 1.29 0.21 1.60
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: 6.42%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 609.56 0.00 -173.28 0.16 0.19 4.08
Degree 2 217 48.31 9.00 36,374 MAX VALUE 2,065.91 66.70 1.38 3.78
Eccentricity 3 6 4.58 5.00 3,449 MAX VALUE 1,140.05 0.56 0.12 0.84
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,011
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 0.28
Eccentricity 3 5 4.05 4.00 3,214 MAX VALUE 1,107.86 0.29 0.07 0.33
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00