Instance: rand-2-40-16-250-350-64_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:07
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 2 16 10.38 10.00 83,056 MAX VALUE 18,576.70 1.90 0.18 2.06
Relational linkage 0.12 0.62 0.45 0.44 289.50 0.00 -517.64 0.07 0.16 1.56
Tightness 0.28 0.45 0.35 0.35 87.78 0.00 -262.65 0.03 0.09 3.43
Tuples 140 185 166.11 167.00 41,528 MAX VALUE 1,277.87 8.05 0.05 3.43
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 18 12.50 12.00 500 MAX VALUE 100.00 2.77 0.22 2.20
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 10
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 14 109 44.06 33.00 705 9.49e+24 57.51 27.64 0.63 2.51
Cluster variables 8 25 14.31 12.00 229 1.07e+18 41.52 5.32 0.37 2.17
Separator constraints 0 86 28.44 21.50 455 0 None 23.21 0.82 2.51
Separator variables 0 22 11.81 11.00 189 0 None 5.48 0.46 2.17
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 67 838 267.21 222.50 10,154 MAX VALUE 204.09 191.46 0.72 3.60
Cluster variables 16 123 42.82 31.00 1,627 MAX VALUE 136.09 28.62 0.67 3.46
Separator constraints 0 454 187.50 159.50 7,125 0 None 113.16 0.60 3.64
Separator variables 0 95 36.24 29.00 1,377 0 None 21.77 0.60 3.38
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.20 0.46 0.33 0.33 13.18 0.00 -44.98 0.06 0.17 3.30
Degree 7 18 12.50 12.00 500 MAX VALUE 100.00 2.77 0.22 2.20
Eccentricity 2 3 2.33 2.00 93 2.14e+14 33.00 0.47 0.20 0.63
Triangulated primal graph
Density: 62.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.86 0.84 34.41 0.00 -6.25 0.09 0.11 3.01
Degree 7 34 24.45 29.50 978 MAX VALUE 123.46 9.39 0.38 2.52
Eccentricity 2 3 2.15 2.00 86 1.25e+13 30.16 0.36 0.17 0.42
Dual graph
Density: 9.73%
MCB compute time (ms): 3,622
MCB cycles: 3,105
Triangles: 12,179
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.61 0.51 0.50 126.62 0.00 -170.24 0.02 0.04 4.49
Degree 15 33 24.23 24.00 6,058 MAX VALUE 793.75 3.83 0.16 2.70
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 5 3.06 3.00 9,492 MAX VALUE 3,462.05 0.23 0.08 0.22
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 309
MCB cycles: 212
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 6 3.68 4.00 920 MAX VALUE 319.08 0.86 0.23 1.21
Eccentricity 6 9 7.20 7.00 1,800 MAX VALUE 492.69 0.59 0.08 0.89
MCB cycle size 4 10 6.64 7.00 1,408 MAX VALUE 397.92 1.15 0.17 1.52
Triangulated dual graph
Density: 52.40%
Triangles: 672,254
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.72 1.00 0.85 0.84 211.78 0.00 -42.56 0.08 0.09 4.81
Degree 15 198 130.48 148.00 32,620 MAX VALUE 1,175.69 57.64 0.44 4.09
Eccentricity 2 3 2.27 2.00 567 MAX VALUE 200.45 0.44 0.20 0.58
Triangulated minimal dual graph
Density: 10.42%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.76 201.49 0.00 -58.23 0.15 0.19 3.46
Degree 2 86 25.94 7.00 6,486 MAX VALUE 610.82 30.35 1.17 3.30
Eccentricity 3 5 3.78 4.00 946 MAX VALUE 330.20 0.52 0.14 0.77
Incidence graph
Density: 1.19%
MCB compute time (ms): 211
MCB cycles: 211
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 18 3.45 2.00 1,000 MAX VALUE 273.29 3.76 1.09 0.70
Eccentricity 5 7 5.92 6.00 1,717 MAX VALUE 515.30 0.32 0.05 0.38
MCB cycle size 6 8 6.02 6.00 1,270 MAX VALUE 378.64 0.19 0.03 0.05