Instance: rand-2-40-180-84-900-44_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:30
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 30,060
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 36 18.00 18.00 541,004 MAX VALUE 86,093.50 4.01 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 546.53 0.00 -18,071.00 0.02 0.20 2.45
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.20
Tuples 3,088 3,374 3,239.29 3,238.00 272,100 MAX VALUE 678.97 56.75 0.02 4.20
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 8 4.28 4.00 167 1.97e+23 53.64 1.71 0.40 1.80
Partitions per subscope 180 180 180.00 180.00 7,020 MAX VALUE 202.53 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
Number of leaves: 16
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 9 3.90 3.00 117 1.10e+16 36.94 1.92 0.49 1.78
Cluster variables 2 10 5.10 4.00 153 1.78e+20 46.63 2.02 0.40 1.90
Separator constraints 0 4 1.10 0.00 33 0 None 1.45 1.31 1.31
Separator variables 0 8 3.77 3.00 113 0 None 1.96 0.52 1.92
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 3 38 17.76 16.50 675 MAX VALUE 102.28 9.48 0.53 3.07
Cluster variables 4 24 10.26 8.50 390 3.14e+36 84.04 5.19 0.51 2.58
Separator constraints 0 22 9.05 9.00 344 0 None 5.72 0.63 2.83
Separator variables 0 18 8.05 7.00 306 0 None 4.06 0.50 2.56
Primal graph
Density: 10.77%
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 0.67 None 0.10 None None None None None 2.32
Degree 1 8 4.20 4.00 168 1.97e+23 53.64 1.76 0.42 1.87
Eccentricity 3 5 4.00 4.00 160 9.34e+23 55.19 0.45 0.11 0.64
Triangulated primal graph
Density: 20.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.38 1.00 None 0.71 None None None None None 2.50
Degree 1 21 8.05 5.00 322 3.91e+30 70.44 6.27 0.78 2.66
Eccentricity 2 4 2.88 3.00 115 1.26e+18 41.68 0.46 0.16 0.65
Dual graph
Density: 9.50%
MCB compute time (ms): 35
MCB cycles: 262
Triangles: 432
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 0.52 0.50 43.30 0.00 -57.08 0.10 0.19 3.07
Degree 3 14 7.88 8.00 662 MAX VALUE 169.51 2.29 0.29 2.16
Eccentricity 3 5 4.17 4.00 350 MAX VALUE 119.31 0.48 0.12 0.70
MCB cycle size 3 6 3.28 3.00 860 MAX VALUE 307.11 0.67 0.20 0.59
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 10
MCB cycles: 45
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 4 3.05 3.00 256 MAX VALUE 92.14 0.55 0.18 0.83
Eccentricity 6 8 6.85 7.00 575 MAX VALUE 161.31 0.55 0.08 0.81
MCB cycle size 4 9 7.02 7.00 316 4.68e+37 86.74 1.37 0.20 1.60
Triangulated dual graph
Density: 26.56%
Triangles: 6,033
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.78 0.75 65.14 0.00 -22.74 0.14 0.18 3.82
Degree 3 47 22.05 18.00 1,852 MAX VALUE 238.06 13.79 0.63 3.40
Eccentricity 2 4 3.18 3.00 267 MAX VALUE 96.01 0.52 0.16 0.76
Triangulated minimal dual graph
Density: 12.19%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 0.75 0.67 62.76 0.00 -27.67 0.20 0.27 2.77
Degree 2 32 10.12 5.00 850 MAX VALUE 159.15 9.29 0.92 2.79
Eccentricity 3 5 3.67 4.00 308 MAX VALUE 108.27 0.52 0.14 0.75
Incidence graph
Density: 2.20%
MCB compute time (ms): 14
MCB cycles: 45
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 None 0.00 None None None None None 0.09
Degree 1 8 2.71 2.00 336 MAX VALUE 111.86 1.44 0.53 1.08
Eccentricity 7 10 8.71 9.00 1,080 MAX VALUE 267.82 0.83 0.10 1.21
MCB cycle size 6 12 8.13 8.00 366 MAX VALUE 93.19 1.81 0.22 1.23