Instance: rand-2-40-8-753-100-39_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:18
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 7.21 7.00 86,836 MAX VALUE 23,706.60 0.84 0.12 1.14
Relational linkage 0.38 0.75 0.63 0.62 202.38 0.00 -149.75 0.09 0.14 1.02
Tightness 0.02 0.22 0.10 0.09 74.59 0.00 -1,803.15 0.04 0.38 2.27
Tuples 50 63 57.66 58.00 43,418 MAX VALUE 3,052.44 2.38 0.04 2.27
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.06 0.03 1.37
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 612 683 636.33 614.00 1,909 256,650,000 19.36 33.01 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 0 579 385.33 577.00 1,156 0 None 272.47 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 1,257 11,642 3,037.42 1,520.00 115,422 MAX VALUE 295.32 2,576.95 0.85 2.87
Cluster variables 70 488 146.40 77.00 5,563 MAX VALUE 181.89 108.34 0.74 2.60
Separator constraints 0 6,597 2,310.58 1,444.00 87,802 0 None 1,499.36 0.65 2.87
Separator variables 0 365 126.58 76.00 4,810 0 None 82.60 0.65 2.57
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 0.96 38.61 0.24 -1.41 0.00 0.00 2.18
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.06 0.03 1.37
Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56
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): 32,636
MCB cycles: 26,868
Triangles: 337,658
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 0.51 381.50 0.00 -512.00 0.00 0.00 2.14
Degree 69 76 73.36 73.00 55,240 MAX VALUE 3,234.27 1.45 0.02 1.76
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 80,604 MAX VALUE 29,517.50 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,214
MCB cycles: 717
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.05 0.00 None 0.02 13.49 0.06
Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,001.87 0.96 0.25 1.25
Eccentricity 9 14 11.63 12.00 8,760 MAX VALUE 1,844.36 1.11 0.10 1.50
MCB cycle size 3 14 6.04 6.00 4,331 MAX VALUE 1,272.61 1.29 0.21 1.61
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: 6.63%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.77 611.25 0.00 -170.06 0.15 0.19 4.05
Degree 2 217 49.83 9.00 37,520 MAX VALUE 2,074.26 68.95 1.38 3.76
Eccentricity 3 5 4.04 4.00 3,041 MAX VALUE 1,042.54 0.60 0.15 0.90
Incidence graph
Density: 0.48%
MCB compute time (ms): 926
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 7.81 2.06 0.27
Eccentricity 3 5 4.05 4.00 3,212 MAX VALUE 1,107.61 0.27 0.07 0.30
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00