Instance: rand-2-40-180-84-900-24_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:19
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: 30,240
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 4 35 18.00 18.00 544,408 MAX VALUE 86,620.70 4.01 0.22 2.80
Relational linkage 0.02 0.14 0.08 0.08 562.07 0.00 -18,513.60 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 4.15
Tuples 3,096 3,388 3,240.52 3,242.50 272,204 MAX VALUE 679.00 59.60 0.02 4.15
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 9 4.20 4.00 168 5.06e+23 54.58 1.63 0.39 1.71
Partitions per subscope 180 180 180.00 180.00 7,200 MAX VALUE 207.72 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 5 3.27 3.00 98 3.63e+14 33.52 1.12 0.34 1.44
Cluster variables 3 11 5.27 5.00 158 6.23e+20 47.88 2.02 0.38 1.86
Separator constraints 0 1 0.47 0.00 14 0 None 0.50 1.07 0.69
Separator variables 0 9 3.93 3.50 118 0 None 1.86 0.47 1.86
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
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 42 16.42 12.50 624 MAX VALUE 100.74 9.60 0.58 2.92
Cluster variables 4 24 10.26 9.00 390 5.31e+36 84.56 5.04 0.49 2.33
Separator constraints 0 24 7.95 6.00 302 0 None 5.48 0.69 2.49
Separator variables 0 18 8.05 7.00 306 0 None 3.91 0.49 2.27
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 1.00 0.11 0.05 4.21 0.00 None 0.17 1.66 1.77
Degree 2 9 4.20 4.00 168 5.06e+23 54.58 1.63 0.39 1.71
Eccentricity 3 5 4.03 4.00 161 1.25e+24 55.48 0.42 0.10 0.58
Triangulated primal graph
Density: 22.18%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.36 1.00 0.77 0.74 30.71 0.00 -12.22 0.21 0.27 2.51
Degree 2 25 8.65 6.00 346 1.40e+32 74.02 6.58 0.76 2.63
Eccentricity 2 3 2.73 3.00 109 1.41e+17 39.48 0.45 0.16 0.59
Dual graph
Density: 9.24%
MCB compute time (ms): 49
MCB cycles: 243
Triangles: 409
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 0.78 0.50 0.47 41.60 0.00 -60.26 0.09 0.18 2.87
Degree 3 13 7.67 7.00 644 MAX VALUE 166.95 2.39 0.31 2.12
Eccentricity 4 5 4.14 4.00 348 MAX VALUE 119.13 0.35 0.08 0.41
MCB cycle size 3 6 3.26 3.00 793 MAX VALUE 283.66 0.65 0.20 0.60
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 91.79 0.62 0.20 0.93
Eccentricity 6 8 6.93 7.00 582 MAX VALUE 162.35 0.53 0.08 0.79
MCB cycle size 4 10 6.93 7.00 312 2.62e+37 86.16 1.39 0.20 1.72
Triangulated dual graph
Density: 26.39%
Triangles: 5,942
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.77 0.74 65.08 0.00 -22.76 0.14 0.18 3.81
Degree 3 46 21.90 17.00 1,840 MAX VALUE 238.05 13.72 0.63 3.27
Eccentricity 2 4 3.13 3.00 263 MAX VALUE 94.86 0.48 0.15 0.70
Triangulated minimal dual graph
Density: 11.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 0.74 0.67 61.90 0.00 -28.91 0.21 0.28 2.66
Degree 2 29 9.81 5.50 824 MAX VALUE 157.52 8.87 0.90 2.64
Eccentricity 3 5 3.86 4.00 324 MAX VALUE 112.35 0.60 0.16 0.90
Incidence graph
Density: 2.20%
MCB compute time (ms): 26
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 9 2.71 2.00 336 MAX VALUE 112.80 1.38 0.51 1.03
Eccentricity 7 11 8.70 9.00 1,079 MAX VALUE 267.78 0.78 0.09 1.14
MCB cycle size 6 12 8.53 8.00 384 MAX VALUE 95.51 1.76 0.21 1.26