Instance: rand-2-40-180-84-900-17_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:13
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: 29,880
Number of unique subscopes: 38
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 3 36 18.00 18.00 537,733 MAX VALUE 85,578.00 4.02 0.22 2.81
Relational linkage 0.02 0.16 0.08 0.08 530.06 0.00 -17,633.60 0.02 0.20 2.43
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.13
Tuples 3,110 3,377 3,239.27 3,240.00 272,099 MAX VALUE 678.97 55.69 0.02 4.13
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 4.37 4.00 166 1.28e+23 53.21 1.68 0.38 1.81
Partitions per subscope 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Tree decomposition
Number of clusters: 31
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 1 8 3.84 4.00 119 3.31e+16 38.04 1.82 0.47 1.71
Cluster variables 2 10 5.06 4.00 157 3.70e+20 47.36 2.30 0.45 1.90
Separator constraints 0 5 1.13 1.00 35 0 None 1.24 1.10 1.37
Separator variables 0 9 3.77 3.00 117 0 None 2.22 0.59 1.97
Dual tree decomposition
Number of clusters: 38
Number of leaves: 11
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 3 39 17.18 14.00 653 MAX VALUE 100.16 10.40 0.61 3.06
Cluster variables 3 21 9.74 9.00 370 4.15e+35 82.01 4.79 0.49 2.60
Separator constraints 0 28 8.42 7.00 320 0 None 6.54 0.78 2.76
Separator variables 0 16 7.53 7.00 286 0 None 3.74 0.50 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 1.00 None 0.15 None None None None None 2.28
Degree 1 8 4.20 4.00 168 1.28e+23 53.21 1.79 0.43 1.92
Eccentricity 3 5 4.30 4.00 172 1.55e+25 58.00 0.56 0.13 0.82
Triangulated primal graph
Density: 20.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 None 0.67 None None None None None 3.03
Degree 1 20 8.10 5.00 324 3.24e+30 70.25 6.14 0.76 2.48
Eccentricity 3 5 3.83 4.00 153 1.17e+23 53.12 0.63 0.16 0.94
Dual graph
Density: 9.55%
MCB compute time (ms): 49
MCB cycles: 254
Triangles: 434
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 43.50 0.00 -56.69 0.11 0.20 3.07
Degree 2 14 7.93 8.00 666 MAX VALUE 169.12 2.50 0.31 2.25
Eccentricity 4 5 4.18 4.00 351 MAX VALUE 119.80 0.38 0.09 0.47
MCB cycle size 3 6 3.17 3.00 806 MAX VALUE 290.91 0.50 0.16 0.48
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 15
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 5.41 0.18
Degree 2 5 3.05 3.00 256 MAX VALUE 91.72 0.63 0.21 0.96
Eccentricity 6 9 7.32 7.00 615 MAX VALUE 166.84 0.69 0.09 1.05
MCB cycle size 3 10 6.69 7.00 301 3.50e+36 84.15 1.58 0.24 1.84
Triangulated dual graph
Density: 24.50%
Triangles: 4,992
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.77 0.76 64.49 0.00 -23.60 0.14 0.18 3.97
Degree 2 48 20.33 18.50 1,708 MAX VALUE 232.00 12.62 0.62 3.44
Eccentricity 3 4 3.32 3.00 279 MAX VALUE 100.05 0.47 0.14 0.63
Triangulated minimal dual graph
Density: 11.76%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.74 0.67 62.56 0.00 -28.22 0.21 0.28 2.68
Degree 2 30 9.76 5.00 820 MAX VALUE 155.93 8.96 0.92 2.67
Eccentricity 3 6 4.23 4.00 355 MAX VALUE 119.96 0.68 0.16 1.03
Incidence graph
Density: 2.20%
MCB compute time (ms): 21
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 0.68
Degree 1 8 2.71 2.00 336 MAX VALUE 111.43 1.45 0.53 1.12
Eccentricity 7 11 9.01 9.00 1,117 MAX VALUE 271.98 0.88 0.10 1.25
MCB cycle size 6 12 7.78 8.00 350 MAX VALUE 91.34 1.65 0.21 1.16