Instance: rand-2-40-180-84-900-76_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: 29,700
Number of unique subscopes: 37
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 5 36 18.03 18.00 535,581 MAX VALUE 85,119.70 4.04 0.22 2.81
Relational linkage 0.03 0.14 0.08 0.08 516.29 0.00 -17,168.60 0.02 0.20 2.44
Tightness 0.90 0.90 0.90 0.90 75.59 0.00 -8.87 0.00 0.00 4.18
Tuples 3,118 3,395 3,245.69 3,243.00 272,638 MAX VALUE 679.13 58.78 0.02 4.18
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 4.46 4.00 165 6.82e+22 52.58 1.64 0.37 1.74
Partitions per subscope 180 180 180.00 180.00 6,660 MAX VALUE 192.14 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 11
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 12 4.41 4.00 128 3.18e+15 35.70 3.08 0.70 2.24
Cluster variables 2 12 5.55 4.00 161 7.46e+19 45.76 2.97 0.53 2.07
Separator constraints 0 9 1.52 0.00 44 0 None 2.46 1.62 1.31
Separator variables 0 11 4.17 3.00 121 0 None 2.82 0.68 2.14
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 2 57 19.95 17.50 758 MAX VALUE 104.06 13.45 0.67 3.10
Cluster variables 4 29 10.82 9.00 411 6.24e+36 84.72 6.33 0.59 2.67
Separator constraints 0 37 11.13 9.00 423 0 None 8.47 0.76 2.93
Separator variables 0 21 8.61 7.50 327 0 None 4.97 0.58 2.50
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 1.77
Degree 1 9 4.20 4.00 168 6.82e+22 52.58 1.82 0.43 1.88
Eccentricity 3 6 4.58 5.00 183 1.77e+26 60.44 0.63 0.14 0.95
Triangulated primal graph
Density: 23.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 None 0.78 None None None None None 3.20
Degree 1 22 9.35 6.50 374 1.68e+32 74.20 7.04 0.75 2.64
Eccentricity 2 4 3.25 3.00 130 1.71e+20 46.59 0.54 0.16 0.79
Dual graph
Density: 9.61%
MCB compute time (ms): 31
MCB cycles: 263
Triangles: 423
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 0.50 0.47 41.90 0.00 -60.27 0.12 0.24 2.70
Degree 3 13 7.98 8.00 670 MAX VALUE 169.93 2.44 0.31 2.15
Eccentricity 3 5 4.23 4.00 355 MAX VALUE 120.62 0.45 0.11 0.61
MCB cycle size 3 7 3.29 3.00 864 MAX VALUE 308.51 0.67 0.21 0.63
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 91.90 0.60 0.20 0.90
Eccentricity 6 8 6.80 7.00 571 MAX VALUE 160.73 0.53 0.08 0.78
MCB cycle size 5 10 7.33 7.00 330 MAX VALUE 88.88 1.33 0.18 1.67
Triangulated dual graph
Density: 30.61%
Triangles: 8,502
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.60 1.00 0.79 0.76 66.50 0.00 -20.65 0.13 0.16 3.89
Degree 3 48 25.40 23.00 2,134 MAX VALUE 247.60 15.83 0.62 3.37
Eccentricity 2 4 2.93 3.00 246 MAX VALUE 89.14 0.46 0.16 0.66
Triangulated minimal dual graph
Density: 12.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.76 0.67 63.48 0.00 -26.22 0.19 0.25 2.61
Degree 2 31 10.64 5.00 894 MAX VALUE 159.62 10.19 0.96 2.75
Eccentricity 3 5 3.76 4.00 316 MAX VALUE 110.44 0.53 0.14 0.77
Incidence graph
Density: 2.20%
MCB compute time (ms): 16
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 0.87
Degree 1 9 2.71 2.00 336 MAX VALUE 110.80 1.46 0.54 1.08
Eccentricity 7 12 9.27 9.00 1,149 MAX VALUE 275.39 0.98 0.11 1.36
MCB cycle size 6 14 8.40 8.00 378 MAX VALUE 94.81 1.77 0.21 1.24