Instance: rand-2-40-8-753-100-27_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:25
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 86,766 MAX VALUE 23,693.70 0.85 0.12 1.15
Relational linkage 0.38 0.75 0.63 0.62 202.00 0.00 -150.07 0.08 0.13 0.98
Tightness 0.00 0.23 0.10 0.09 75.14 0.00 None 0.04 0.38 2.28
Tuples 49 64 57.61 58.00 43,383 MAX VALUE 3,051.81 2.41 0.04 2.28
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 1.15 0.03 1.45
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 646 648 646.75 646.50 2,587 1.75e+11 25.89 0.83 0.00 1.04
Cluster variables 37 37 37.00 37.00 148 1,874,160 14.44 0.00 0.00 0.00
Separator constraints 0 612 458.50 611.00 1,834 0 None 264.71 0.58 1.04
Separator variables 0 36 27.00 36.00 108 0 None 15.59 0.58 0.56
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 11,681 3,024.13 1,520.00 114,917 MAX VALUE 295.26 2,544.12 0.84 2.93
Cluster variables 70 487 146.03 77.00 5,549 MAX VALUE 181.85 107.43 0.74 2.79
Separator constraints 0 6,377 2,297.18 1,444.00 87,293 0 None 1,465.63 0.64 2.90
Separator variables 0 359 126.21 76.00 4,796 0 None 81.64 0.65 2.75
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 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.15 0.03 1.45
Eccentricity 1 2 1.70 2.00 68 268,435,000 19.41 0.46 0.27 0.61
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 39.71 0.75 -0.29 0.00 0.00 0.59
Degree 36 39 38.70 39.00 1,548 MAX VALUE 146.22 0.78 0.02 0.59
Eccentricity 1 2 1.15 1.00 46 64 4.16 0.36 0.31 0.42
Dual graph
Density: 9.76%
MCB compute time (ms): 31,992
MCB cycles: 26,872
Triangles: 337,809
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 2.23
Degree 69 76 73.37 73.00 55,248 MAX VALUE 3,234.35 1.58 0.02 1.84
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 80,616 MAX VALUE 29,521.90 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 8,559
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 1,002.29 0.95 0.25 1.25
Eccentricity 9 15 12.03 12.00 9,055 MAX VALUE 1,869.23 1.16 0.10 1.55
MCB cycle size 3 15 6.05 6.00 4,333 MAX VALUE 1,271.06 1.34 0.22 1.63
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: 6.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.82 0.78 615.25 0.00 -165.20 0.15 0.18 4.06
Degree 2 217 50.93 9.00 38,354 MAX VALUE 2,078.43 70.71 1.39 3.77
Eccentricity 3 6 4.17 4.00 3,138 MAX VALUE 1,065.96 0.63 0.15 0.95
Incidence graph
Density: 0.48%
MCB compute time (ms): 968
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 3,213 MAX VALUE 1,107.62 0.29 0.07 0.33
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00