Instance: rand-2-40-40-135-650-21_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:31
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Number of coarse blocks: 10,800
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 26 14.01 14.00 151,286 MAX VALUE 28,247.00 2.98 0.21 2.51
Relational linkage 0.10 0.40 0.25 0.25 407.70 0.00 -2,217.21 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.72 0.00 -58.22 0.01 0.02 3.99
Tuples 515 606 560.32 562.00 75,643 MAX VALUE 854.27 18.65 0.03 3.99
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 4 12 6.75 7.00 270 2.02e+32 74.39 2.13 0.32 1.97
Partitions per subscope 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
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 4 31 12.96 9.00 311 2.51e+24 56.18 8.68 0.67 2.58
Cluster variables 5 17 8.96 7.00 215 7.10e+21 50.31 4.06 0.45 2.09
Separator constraints 0 28 7.33 3.50 176 0 None 8.14 1.11 2.48
Separator variables 0 16 7.29 6.00 175 0 None 3.99 0.55 2.15
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 12 159 60.37 46.50 2,294 MAX VALUE 148.59 36.51 0.60 3.44
Cluster variables 7 56 20.08 16.00 763 MAX VALUE 108.02 12.42 0.62 3.05
Separator constraints 0 85 37.55 33.50 1,427 0 None 22.17 0.59 3.35
Separator variables 0 44 16.53 14.50 628 0 None 9.52 0.58 3.03
Primal graph
Density: 17.31%
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 0.50 0.19 0.19 7.51 0.00 None 0.10 0.52 2.69
Degree 4 12 6.75 7.00 270 2.02e+32 74.39 2.13 0.32 1.97
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 39.87%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.82 0.80 32.60 0.00 -8.82 0.14 0.17 2.99
Degree 4 29 15.55 16.00 622 MAX VALUE 100.70 8.97 0.58 2.74
Eccentricity 2 3 2.40 2.00 96 7.22e+14 34.21 0.49 0.20 0.67
Dual graph
Density: 9.59%
MCB compute time (ms): 588
MCB cycles: 750
Triangles: 1,839
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.64 0.51 0.50 68.22 0.00 -92.57 0.04 0.08 3.81
Degree 6 20 12.84 13.00 1,734 MAX VALUE 340.89 2.96 0.23 2.45
Eccentricity 3 4 3.41 3.00 460 MAX VALUE 164.13 0.49 0.14 0.68
MCB cycle size 3 5 3.08 3.00 2,311 MAX VALUE 841.38 0.28 0.09 0.29
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 66
MCB cycles: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.37 0.00 None 0.05 5.15 0.23
Degree 2 5 3.41 3.00 460 MAX VALUE 163.16 0.64 0.19 0.95
Eccentricity 6 7 6.61 7.00 892 MAX VALUE 254.53 0.49 0.07 0.67
MCB cycle size 3 9 6.94 7.00 666 MAX VALUE 184.15 1.22 0.18 1.55
Triangulated dual graph
Density: 39.92%
Triangles: 61,535
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 110.81 0.00 -27.65 0.10 0.12 4.39
Degree 6 92 53.50 66.00 7,222 MAX VALUE 505.55 29.22 0.55 3.97
Eccentricity 2 3 2.59 3.00 349 MAX VALUE 125.61 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 12.12%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.78 0.73 105.93 0.00 -35.92 0.17 0.22 3.12
Degree 2 51 16.24 7.00 2,192 MAX VALUE 298.10 16.68 1.03 2.88
Eccentricity 3 5 3.63 4.00 490 MAX VALUE 172.64 0.51 0.14 0.74
Incidence graph
Density: 1.77%
MCB compute time (ms): 70
MCB cycles: 96
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 12 3.09 2.00 540 MAX VALUE 167.96 2.24 0.73 0.99
Eccentricity 6 8 7.24 7.00 1,267 MAX VALUE 345.83 0.59 0.08 0.89
MCB cycle size 6 8 6.96 6.00 668 MAX VALUE 185.24 1.00 0.14 0.69