Instance: rand-2-40-40-135-650-69_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:39
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 3 26 14.00 14.00 151,228 MAX VALUE 28,241.60 3.00 0.21 2.52
Relational linkage 0.07 0.45 0.26 0.25 409.00 0.00 -2,212.28 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.74 0.00 -58.19 0.01 0.02 3.93
Tuples 506 611 560.10 557.00 75,614 MAX VALUE 854.22 19.31 0.03 3.93
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 12 6.75 6.50 270 1.13e+32 73.81 2.36 0.35 2.14
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: 25
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 3 25 10.72 9.00 268 3.30e+23 54.15 6.86 0.64 2.51
Cluster variables 4 16 8.56 7.00 214 1.58e+22 51.11 3.94 0.46 2.21
Separator constraints 0 19 5.32 3.00 133 0 None 6.18 1.16 2.36
Separator variables 0 15 6.96 6.00 174 0 None 3.90 0.56 2.27
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 12 156 62.34 51.00 2,369 MAX VALUE 149.54 38.39 0.62 3.35
Cluster variables 7 57 20.34 16.00 773 MAX VALUE 108.53 12.38 0.61 3.01
Separator constraints 0 82 38.97 37.00 1,481 0 None 22.58 0.58 3.20
Separator variables 0 39 16.79 14.50 638 0 None 9.39 0.56 3.06
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 0.67 0.15 0.14 5.89 0.00 None 0.11 0.78 2.86
Degree 3 12 6.75 6.50 270 1.13e+32 73.81 2.36 0.35 2.14
Eccentricity 3 4 3.05 3.00 122 2.16e+19 44.52 0.22 0.07 0.20
Triangulated primal graph
Density: 37.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.82 0.77 32.65 0.00 -8.89 0.16 0.19 2.60
Degree 3 31 14.70 15.00 588 MAX VALUE 97.39 8.91 0.61 2.77
Eccentricity 2 3 2.55 3.00 102 8.23e+15 36.65 0.50 0.20 0.69
Dual graph
Density: 9.82%
MCB compute time (ms): 393
MCB cycles: 803
Triangles: 1,958
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 0.73 0.51 0.50 68.97 0.00 -91.46 0.06 0.11 3.84
Degree 6 21 13.16 13.00 1,776 MAX VALUE 343.90 3.14 0.24 2.51
Eccentricity 3 4 3.25 3.00 439 MAX VALUE 158.09 0.43 0.13 0.56
MCB cycle size 3 5 3.14 3.00 2,525 MAX VALUE 914.52 0.40 0.13 0.43
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 63
MCB cycles: 96
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 5 3.41 3.00 460 MAX VALUE 162.87 0.66 0.19 1.00
Eccentricity 6 8 6.65 7.00 898 MAX VALUE 255.37 0.53 0.08 0.78
MCB cycle size 4 9 6.86 7.00 659 MAX VALUE 183.43 1.15 0.17 1.50
Triangulated dual graph
Density: 40.63%
Triangles: 62,432
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.67 1.00 0.82 0.79 110.37 0.00 -28.22 0.10 0.13 4.45
Degree 6 90 54.44 61.00 7,350 MAX VALUE 509.56 28.79 0.53 3.71
Eccentricity 2 3 2.39 2.00 323 MAX VALUE 115.06 0.49 0.20 0.67
Triangulated minimal dual graph
Density: 12.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.78 0.71 105.49 0.00 -36.46 0.17 0.22 3.12
Degree 2 50 16.40 7.00 2,214 MAX VALUE 298.72 16.81 1.03 3.00
Eccentricity 3 5 3.66 4.00 494 MAX VALUE 173.72 0.52 0.14 0.75
Incidence graph
Density: 1.77%
MCB compute time (ms): 78
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 167.38 2.29 0.74 1.03
Eccentricity 6 8 7.03 7.00 1,230 MAX VALUE 340.56 0.62 0.09 0.93
MCB cycle size 6 8 7.10 8.00 682 MAX VALUE 187.26 0.99 0.14 0.69