Instance: rand-2-40-8-753-100-46_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 7.18 7.00 86,550 MAX VALUE 23,663.60 0.85 0.12 1.16
Relational linkage 0.38 0.75 0.63 0.62 201.62 0.00 -150.76 0.08 0.13 0.99
Tightness 0.00 0.23 0.10 0.09 76.83 0.00 None 0.04 0.37 2.30
Tuples 49 64 57.47 58.00 43,275 MAX VALUE 3,049.92 2.44 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 1.13 0.03 1.39
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 1,256 11,610 3,034.87 1,520.00 115,325 MAX VALUE 295.31 2,569.68 0.85 3.06
Cluster variables 70 487 146.32 77.00 5,560 MAX VALUE 181.88 108.13 0.74 2.78
Separator constraints 0 6,599 2,307.95 1,444.00 87,702 0 None 1,492.06 0.65 3.06
Separator variables 0 365 126.50 76.00 4,807 0 None 82.38 0.65 2.78
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 2.32
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.13 0.03 1.39
Eccentricity 1 2 1.77 2.00 71 2.15e+09 21.49 0.42 0.24 0.53
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): 34,047
MCB cycles: 26,871
Triangles: 337,768
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 -511.95 0.00 0.00 2.19
Degree 69 76 73.37 74.00 55,246 MAX VALUE 3,234.33 1.54 0.02 1.80
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 80,613 MAX VALUE 29,520.80 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 8,466
MCB cycles: 716
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 1,002.34 0.95 0.25 1.25
Eccentricity 9 15 11.80 12.00 8,889 MAX VALUE 1,855.23 1.15 0.10 1.54
MCB cycle size 3 16 6.06 6.00 4,339 MAX VALUE 1,273.00 1.31 0.22 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: 6.67%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.77 614.90 0.00 -166.05 0.15 0.19 4.00
Degree 2 216 50.13 10.00 37,746 MAX VALUE 2,071.66 69.50 1.39 3.75
Eccentricity 3 6 4.30 4.00 3,237 MAX VALUE 1,090.12 0.62 0.14 0.93
Incidence graph
Density: 0.48%
MCB compute time (ms): 996
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 4.05 4.00 3,211 MAX VALUE 1,107.37 0.27 0.07 0.29
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00