Instance: rand-2-40-180-84-900-5_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:23
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 2 36 18.03 18.00 541,955 MAX VALUE 86,136.30 4.04 0.22 2.81
Relational linkage 0.01 0.14 0.08 0.08 546.07 0.00 -18,076.60 0.02 0.20 2.44
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.86 0.00 0.00 4.17
Tuples 3,081 3,368 3,244.89 3,245.50 272,571 MAX VALUE 679.11 58.90 0.02 4.17
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 10 4.28 4.00 167 3.12e+23 54.10 1.63 0.38 1.75
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: 12
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 1 10 3.87 3.00 116 9.80e+15 36.82 2.03 0.52 1.71
Cluster variables 2 11 5.57 4.50 167 1.37e+21 48.67 2.50 0.45 2.03
Separator constraints 0 6 1.07 0.00 32 0 None 1.73 1.62 1.22
Separator variables 0 10 4.23 3.00 127 0 None 2.42 0.57 2.07
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 4 54 18.11 13.00 688 MAX VALUE 101.74 12.73 0.70 3.07
Cluster variables 4 28 10.66 9.00 405 5.73e+36 84.64 6.05 0.57 2.56
Separator constraints 0 35 9.53 7.00 362 0 None 8.15 0.86 2.70
Separator variables 0 21 8.45 7.00 321 0 None 4.72 0.56 2.55
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 0.33 None 0.00 None None None None None 1.51
Degree 1 10 4.20 4.00 168 3.12e+23 54.10 1.69 0.40 1.82
Eccentricity 3 5 4.00 4.00 160 9.34e+23 55.19 0.45 0.11 0.64
Triangulated primal graph
Density: 23.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.36 1.00 None 0.78 None None None None None 2.86
Degree 1 26 9.10 6.50 364 5.49e+32 75.39 6.82 0.75 2.72
Eccentricity 2 4 3.33 3.00 133 4.04e+20 47.45 0.57 0.17 0.84
Dual graph
Density: 9.35%
MCB compute time (ms): 54
MCB cycles: 243
Triangles: 420
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 0.49 0.47 41.02 0.00 -61.74 0.10 0.21 2.92
Degree 3 14 7.76 7.00 652 MAX VALUE 167.47 2.54 0.33 2.22
Eccentricity 3 5 4.10 4.00 344 MAX VALUE 118.04 0.40 0.10 0.54
MCB cycle size 3 6 3.24 3.00 788 MAX VALUE 282.60 0.60 0.18 0.57
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 14
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 91.90 0.60 0.20 0.90
Eccentricity 6 8 6.65 7.00 559 MAX VALUE 158.90 0.57 0.09 0.84
MCB cycle size 4 9 7.20 8.00 324 1.30e+38 87.76 1.45 0.20 1.65
Triangulated dual graph
Density: 29.63%
Triangles: 7,882
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.79 0.78 66.18 0.00 -21.06 0.12 0.16 3.72
Degree 3 50 24.60 24.00 2,066 MAX VALUE 245.19 15.45 0.63 3.40
Eccentricity 2 3 2.61 3.00 219 1.85e+34 78.90 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 12.25%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.75 0.67 63.37 0.00 -26.88 0.21 0.27 2.59
Degree 2 31 10.17 5.00 854 MAX VALUE 157.26 9.60 0.94 2.67
Eccentricity 3 5 3.71 4.00 312 MAX VALUE 109.42 0.50 0.14 0.72
Incidence graph
Density: 2.20%
MCB compute time (ms): 23
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 0.63
Degree 1 10 2.71 2.00 336 MAX VALUE 112.32 1.41 0.52 1.08
Eccentricity 7 11 8.62 9.00 1,069 MAX VALUE 266.58 0.81 0.09 1.20
MCB cycle size 6 12 8.62 8.00 388 MAX VALUE 96.27 1.45 0.17 1.08