Instance: rand-2-40-8-753-100-54_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:28
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 86,698 MAX VALUE 23,682.60 0.86 0.12 1.16
Relational linkage 0.38 0.75 0.62 0.62 199.38 0.00 -154.48 0.08 0.13 1.00
Tightness 0.00 0.27 0.10 0.09 75.67 0.00 None 0.04 0.39 2.31
Tuples 47 64 57.57 58.00 43,349 MAX VALUE 3,051.16 2.51 0.04 2.31
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 145.11 1.26 0.03 1.47
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: 4
Number of leaves: 2
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 614 648 630.75 630.50 2,523 1.58e+11 25.79 16.75 0.03 1.04
Cluster variables 36 37 36.50 36.50 146 1,774,220 14.39 0.50 0.01 0.69
Separator constraints 0 612 442.50 579.00 1,770 0 None 255.83 0.58 1.04
Separator variables 0 36 26.50 35.00 106 0 None 15.31 0.58 1.04
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 1,220 11,662 3,037.97 1,520.00 115,443 MAX VALUE 295.31 2,578.68 0.85 2.89
Cluster variables 69 488 146.40 77.00 5,563 MAX VALUE 181.88 108.32 0.74 2.80
Separator constraints 0 6,597 2,310.89 1,444.00 87,814 0 None 1,498.54 0.65 2.89
Separator variables 0 365 126.58 76.00 4,810 0 None 82.55 0.65 2.76
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 38.64 0.25 -1.38 0.00 0.00 2.21
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.26 0.03 1.47
Eccentricity 1 2 1.65 2.00 66 67,108,900 18.02 0.48 0.29 0.65
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 39.63 0.69 -0.38 0.00 0.00 0.71
Degree 35 39 38.60 39.00 1,544 MAX VALUE 146.12 0.97 0.03 0.71
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): 32,587
MCB cycles: 26,877
Triangles: 337,994
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 0.51 381.58 0.00 -511.86 0.00 0.00 2.26
Degree 68 76 73.38 74.00 55,258 MAX VALUE 3,234.46 1.70 0.02 1.90
Eccentricity 2 3 2.00 2.00 1,508 MAX VALUE 522.75 0.05 0.03 0.02
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): 10,104
MCB cycles: 714
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 7 3.89 4.00 2,932 MAX VALUE 1,002.13 0.96 0.25 1.25
Eccentricity 9 14 11.70 12.00 8,807 MAX VALUE 1,848.39 1.11 0.09 1.51
MCB cycle size 4 14 6.01 6.00 4,288 MAX VALUE 1,263.84 1.26 0.21 1.58
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: 6.94%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.78 616.23 0.00 -163.45 0.15 0.18 4.07
Degree 2 216 52.22 9.00 39,322 MAX VALUE 2,093.18 72.18 1.38 3.72
Eccentricity 3 6 4.13 4.00 3,112 MAX VALUE 1,059.49 0.63 0.15 0.95
Incidence graph
Density: 0.48%
MCB compute time (ms): 937
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 6 4.06 4.00 3,217 MAX VALUE 1,108.39 0.31 0.08 0.36
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00