Instance: rand-2-40-16-250-350-15_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:03
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 3 16 10.34 10.00 82,732 MAX VALUE 18,544.60 1.89 0.18 2.05
Relational linkage 0.19 0.62 0.45 0.44 288.88 0.00 -518.97 0.08 0.17 1.58
Tightness 0.25 0.45 0.35 0.35 88.41 0.00 -260.84 0.03 0.09 3.40
Tuples 140 192 165.46 165.50 41,366 MAX VALUE 1,276.89 8.00 0.05 3.40
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 6 18 12.50 13.00 500 MAX VALUE 99.62 3.11 0.25 2.40
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: 7
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 11 111 46.00 33.50 736 1.03e+25 57.59 30.12 0.65 2.69
Cluster variables 7 25 14.75 13.50 236 1.57e+18 41.89 5.52 0.37 2.31
Separator constraints 0 75 30.38 22.00 486 0 None 25.20 0.83 2.69
Separator variables 0 21 12.25 11.50 196 0 None 5.78 0.47 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 36 951 277.68 216.00 10,552 MAX VALUE 203.44 215.15 0.77 3.55
Cluster variables 12 138 43.55 31.50 1,655 MAX VALUE 135.98 30.29 0.70 3.30
Separator constraints 0 538 196.95 187.00 7,484 0 None 128.50 0.65 3.56
Separator variables 0 102 36.97 29.50 1,405 0 None 23.21 0.63 3.28
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 0.19 0.42 0.33 0.33 13.28 0.00 -44.51 0.05 0.14 3.20
Degree 6 18 12.50 13.00 500 MAX VALUE 99.62 3.11 0.25 2.40
Eccentricity 2 3 2.27 2.00 91 9.51e+13 32.19 0.45 0.20 0.59
Triangulated primal graph
Density: 63.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.85 34.45 0.00 -6.18 0.09 0.10 3.28
Degree 6 35 24.80 29.00 992 MAX VALUE 124.18 9.26 0.37 2.78
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.86%
MCB compute time (ms): 4,209
MCB cycles: 2,919
Triangles: 12,564
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 0.62 0.51 0.50 127.11 0.00 -169.35 0.02 0.05 4.56
Degree 11 32 24.54 25.00 6,136 MAX VALUE 796.13 4.11 0.17 2.75
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.01 3.00 8,796 MAX VALUE 3,218.07 0.11 0.04 0.07
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 305
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.30 0.00 None 0.01 10.04 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 319.26 0.86 0.23 1.19
Eccentricity 6 9 7.22 7.00 1,804 MAX VALUE 493.16 0.62 0.09 0.94
MCB cycle size 3 9 6.74 7.00 1,423 MAX VALUE 400.08 1.01 0.15 1.38
Triangulated dual graph
Density: 55.06%
Triangles: 745,078
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.85 0.83 213.29 0.00 -40.58 0.07 0.08 4.84
Degree 11 197 137.09 172.50 34,272 MAX VALUE 1,189.68 58.36 0.43 3.89
Eccentricity 2 3 2.18 2.00 545 MAX VALUE 191.53 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 11.06%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.76 202.67 0.00 -56.48 0.15 0.18 3.50
Degree 2 88 27.54 7.50 6,884 MAX VALUE 621.29 32.02 1.16 3.22
Eccentricity 3 5 3.71 4.00 927 MAX VALUE 325.12 0.51 0.14 0.74
Incidence graph
Density: 1.19%
MCB compute time (ms): 197
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 272.91 3.80 1.10 0.73
Eccentricity 5 7 5.91 6.00 1,714 MAX VALUE 514.78 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