Instance: rand-2-40-40-135-650-88_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:46
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 29 14.04 14.00 151,596 MAX VALUE 28,270.00 3.00 0.21 2.51
Relational linkage 0.10 0.42 0.26 0.25 410.75 0.00 -2,204.79 0.05 0.19 2.06
Tightness 0.62 0.68 0.65 0.65 87.63 0.00 -58.37 0.01 0.02 4.03
Tuples 515 613 561.47 559.00 75,798 MAX VALUE 854.54 19.92 0.04 4.03
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 2 11 6.75 6.00 270 1.50e+32 74.09 2.21 0.33 2.04
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: 12
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 33 12.50 8.00 300 4.02e+23 54.35 9.19 0.74 2.56
Cluster variables 3 17 9.04 8.00 217 6.37e+21 50.21 4.28 0.47 2.15
Separator constraints 0 29 6.88 2.50 165 0 None 8.58 1.25 2.34
Separator variables 0 16 7.38 6.00 177 0 None 4.23 0.57 2.21
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
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 16 144 58.89 48.50 2,238 MAX VALUE 147.05 36.97 0.63 3.27
Cluster variables 7 50 19.58 16.50 744 MAX VALUE 107.55 11.29 0.58 2.84
Separator constraints 0 92 35.89 31.00 1,364 0 None 22.76 0.63 3.32
Separator variables 0 38 16.03 14.00 609 0 None 8.55 0.53 3.02
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 1.00 0.17 0.14 6.69 0.00 None 0.16 0.98 2.95
Degree 2 11 6.75 6.00 270 1.50e+32 74.09 2.21 0.33 2.04
Eccentricity 3 4 3.15 3.00 126 6.83e+19 45.67 0.36 0.11 0.42
Triangulated primal graph
Density: 40.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.82 0.76 32.63 0.00 -8.75 0.14 0.17 2.91
Degree 2 29 15.65 19.00 626 MAX VALUE 100.53 8.92 0.57 2.79
Eccentricity 2 3 2.52 3.00 101 5.48e+15 36.24 0.50 0.20 0.69
Dual graph
Density: 9.66%
MCB compute time (ms): 333
MCB cycles: 841
Triangles: 1,862
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 0.84 0.50 0.49 67.98 0.00 -93.26 0.05 0.10 3.77
Degree 6 20 12.95 13.00 1,748 MAX VALUE 341.77 3.01 0.23 2.44
Eccentricity 3 4 3.38 3.00 456 MAX VALUE 162.98 0.48 0.14 0.66
MCB cycle size 3 5 3.23 3.00 2,717 MAX VALUE 977.23 0.52 0.16 0.58
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 52
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 162.49 0.71 0.21 1.07
Eccentricity 6 8 6.69 7.00 903 MAX VALUE 256.18 0.49 0.07 0.70
MCB cycle size 4 9 6.95 7.00 667 MAX VALUE 184.96 1.00 0.14 1.35
Triangulated dual graph
Density: 37.26%
Triangles: 51,553
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.61 1.00 0.81 0.80 108.97 0.00 -30.18 0.11 0.14 4.35
Degree 6 86 49.93 46.00 6,740 MAX VALUE 498.52 26.92 0.54 3.73
Eccentricity 2 3 2.45 2.00 331 MAX VALUE 118.31 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.45%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.78 0.71 105.95 0.00 -35.72 0.17 0.21 3.13
Degree 2 50 16.68 7.00 2,252 MAX VALUE 298.63 17.24 1.03 3.06
Eccentricity 3 5 3.64 4.00 492 MAX VALUE 173.15 0.52 0.14 0.76
Incidence graph
Density: 1.77%
MCB compute time (ms): 59
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 11 3.09 2.00 540 MAX VALUE 167.66 2.26 0.73 0.97
Eccentricity 6 9 7.15 7.00 1,252 MAX VALUE 343.45 0.72 0.10 1.07
MCB cycle size 6 10 7.15 8.00 686 MAX VALUE 187.77 1.03 0.14 0.74