Instance: rand-2-40-8-753-100-10_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:16
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 7.19 7.00 86,646 MAX VALUE 23,676.50 0.85 0.12 1.16
Relational linkage 0.38 0.75 0.63 0.62 200.62 0.00 -152.38 0.08 0.13 1.01
Tightness 0.02 0.25 0.10 0.09 76.08 0.00 -1,790.75 0.04 0.38 2.30
Tuples 48 63 57.53 58.00 43,323 MAX VALUE 3,050.74 2.46 0.04 2.30
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 1.01 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 612 682 646.67 646.00 1,940 269,630,000 19.41 28.58 0.04 1.10
Cluster variables 36 38 37.00 37.00 111 50,616 10.83 0.82 0.02 1.10
Separator constraints 0 610 395.67 577.00 1,187 0 None 280.10 0.71 1.10
Separator variables 0 36 23.67 35.00 71 0 None 16.74 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 1,257 11,575 3,038.63 1,520.00 115,468 MAX VALUE 295.33 2,578.81 0.85 2.90
Cluster variables 70 487 146.45 77.00 5,565 MAX VALUE 181.90 108.42 0.74 2.65
Separator constraints 0 6,592 2,311.84 1,444.00 87,850 0 None 1,500.18 0.65 2.90
Separator variables 0 365 126.63 76.00 4,812 0 None 82.66 0.65 2.65
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 38.60 0.24 -1.42 0.00 0.00 2.46
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.01 0.03 1.37
Eccentricity 1 2 1.80 2.00 72 4.29e+09 22.18 0.40 0.22 0.50
Triangulated primal graph
Density: 99.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.72 0.75 -0.29 0.00 0.00 0.65
Degree 35 39 38.70 39.00 1,548 MAX VALUE 146.22 0.81 0.02 0.60
Eccentricity 1 2 1.18 1.00 47 128 4.85 0.38 0.32 0.46
Dual graph
Density: 9.75%
MCB compute time (ms): 42,186
MCB cycles: 26,866
Triangles: 337,583
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 0.51 381.49 0.00 -512.03 0.00 0.00 2.16
Degree 69 76 73.35 73.00 55,236 MAX VALUE 3,234.23 1.39 0.02 1.73
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 80,598 MAX VALUE 29,515.30 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 10,606
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 1,002.22 0.96 0.25 1.25
Eccentricity 9 14 11.54 11.00 8,692 MAX VALUE 1,838.13 1.15 0.10 1.54
MCB cycle size 3 12 6.06 6.00 4,328 MAX VALUE 1,270.82 1.25 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: 6.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.76 613.33 0.00 -167.19 0.15 0.18 4.09
Degree 2 210 51.65 9.00 38,892 MAX VALUE 2,089.10 71.44 1.38 3.75
Eccentricity 3 5 4.04 4.00 3,042 MAX VALUE 1,042.96 0.59 0.15 0.89
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,111
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 3,209 MAX VALUE 1,107.07 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