Instance: rand-2-40-8-753-100-75_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:22
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 86,716 MAX VALUE 23,686.40 0.85 0.12 1.16
Relational linkage 0.38 0.75 0.63 0.62 202.38 0.00 -149.41 0.08 0.13 0.99
Tightness 0.00 0.23 0.10 0.09 75.53 0.00 None 0.04 0.37 2.26
Tuples 49 64 57.58 58.00 43,358 MAX VALUE 3,051.40 2.36 0.04 2.26
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 1.11 0.03 1.44
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 610 682 646.33 647.00 1,939 269,165,000 19.41 29.40 0.05 1.10
Cluster variables 36 38 37.00 37.00 111 50,616 10.83 0.82 0.02 1.10
Separator constraints 0 611 395.33 575.00 1,186 0 None 279.93 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 1,221 11,725 3,027.89 1,520.00 115,060 MAX VALUE 295.28 2,554.04 0.84 2.89
Cluster variables 69 488 146.13 77.00 5,553 MAX VALUE 181.86 107.67 0.74 2.62
Separator constraints 0 6,413 2,301.00 1,444.00 87,438 0 None 1,473.08 0.64 2.89
Separator variables 0 360 126.32 76.00 4,800 0 None 81.85 0.65 2.62
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 0.24 -1.41 0.00 0.00 2.39
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.12 1.11 0.03 1.44
Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56
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: 9.76%
MCB compute time (ms): 51,529
MCB cycles: 26,870
Triangles: 337,732
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 0.51 381.52 0.00 -511.97 0.00 0.00 2.23
Degree 68 76 73.37 73.00 55,244 MAX VALUE 3,234.31 1.52 0.02 1.81
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 80,610 MAX VALUE 29,519.70 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 15,605
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 1,001.86 0.97 0.25 1.26
Eccentricity 9 15 11.84 12.00 8,919 MAX VALUE 1,857.61 1.17 0.10 1.57
MCB cycle size 3 14 6.02 6.00 4,297 MAX VALUE 1,264.63 1.28 0.21 1.57
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: 6.63%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.78 613.17 0.00 -167.96 0.15 0.19 4.06
Degree 2 211 49.87 9.00 37,552 MAX VALUE 2,072.73 69.09 1.39 3.80
Eccentricity 3 5 4.10 4.00 3,091 MAX VALUE 1,055.38 0.59 0.14 0.88
Incidence graph
Density: 0.48%
MCB compute time (ms): 1,567
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 6 4.05 4.00 3,212 MAX VALUE 1,107.53 0.28 0.07 0.31
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00