Instance: rand-2-40-8-753-100-48_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:23
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 86,752 MAX VALUE 23,692.00 0.85 0.12 1.15
Relational linkage 0.38 0.75 0.63 0.62 203.12 0.00 -148.18 0.08 0.13 0.96
Tightness 0.00 0.22 0.10 0.09 75.25 0.00 None 0.04 0.38 2.30
Tuples 50 64 57.60 58.00 43,376 MAX VALUE 3,051.67 2.45 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 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.42
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 578 683 636.67 649.00 1,910 256,208,000 19.36 43.74 0.07 1.10
Cluster variables 35 38 36.67 37.00 110 49,210 10.80 1.25 0.03 1.10
Separator constraints 0 613 385.67 544.00 1,157 0 None 274.16 0.71 1.10
Separator variables 0 36 23.33 34.00 70 0 None 16.52 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 1,222 11,622 3,042.11 1,520.00 115,600 MAX VALUE 295.33 2,589.19 0.85 2.98
Cluster variables 69 488 146.53 77.00 5,568 MAX VALUE 181.90 108.65 0.74 2.82
Separator constraints 0 6,661 2,315.16 1,444.00 87,976 0 None 1,510.15 0.65 2.98
Separator variables 0 367 126.71 76.00 4,815 0 None 82.90 0.65 2.86
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 38.62 0.25 -1.40 0.00 0.00 2.38
Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.42
Eccentricity 1 2 1.73 2.00 69 536,871,000 20.10 0.45 0.26 0.59
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 0.71
Degree 34 39 38.65 39.00 1,546 MAX VALUE 146.17 0.94 0.02 0.65
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): 37,144
MCB cycles: 26,872
Triangles: 337,805
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 0.51 381.53 0.00 -511.94 0.00 0.00 2.20
Degree 68 76 73.37 73.00 55,248 MAX VALUE 3,234.36 1.57 0.02 1.83
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 80,616 MAX VALUE 29,521.90 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 11,147
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 1,001.65 0.97 0.25 1.26
Eccentricity 9 14 11.86 12.00 8,929 MAX VALUE 1,858.77 1.12 0.09 1.52
MCB cycle size 3 10 5.98 6.00 4,269 MAX VALUE 1,259.75 1.28 0.21 1.62
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: 6.65%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.78 614.97 0.00 -165.77 0.15 0.19 4.03
Degree 2 220 49.97 9.00 37,628 MAX VALUE 2,062.37 70.14 1.40 3.67
Eccentricity 3 6 4.28 4.00 3,221 MAX VALUE 1,086.68 0.60 0.14 0.91
Incidence graph
Density: 0.48%
MCB compute time (ms): 986
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 4.05 4.00 3,214 MAX VALUE 1,107.99 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