Instance: rand-2-40-40-135-650-77_ext
Number of variables: 40
Number of constraints: 135
Satisfiable: None
Timestamp: 2017-10-27 10:57:30
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 27 14.03 14.00 151,550 MAX VALUE 28,269.10 2.98 0.21 2.51
Relational linkage 0.07 0.42 0.26 0.25 410.73 0.00 -2,204.43 0.05 0.18 2.04
Tightness 0.62 0.68 0.65 0.65 87.64 0.00 -58.35 0.01 0.02 4.01
Tuples 515 605 561.30 563.00 75,775 MAX VALUE 854.50 19.20 0.03 4.01
Domain size 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Constraints per subscope 3 11 6.75 6.00 270 2.05e+32 74.40 2.06 0.30 1.96
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: 10
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 28 11.96 9.00 287 3.56e+23 54.23 7.82 0.65 2.75
Cluster variables 4 17 9.08 8.00 218 9.98e+21 50.65 3.99 0.44 2.25
Separator constraints 0 21 6.33 4.00 152 0 None 6.81 1.08 2.39
Separator variables 0 15 7.42 7.00 178 0 None 3.95 0.53 2.25
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 13 129 56.82 49.00 2,159 MAX VALUE 147.02 30.77 0.54 3.35
Cluster variables 7 50 19.45 15.50 739 MAX VALUE 107.48 11.07 0.57 3.01
Separator constraints 0 71 34.16 32.50 1,298 0 None 18.64 0.55 3.30
Separator variables 0 38 15.89 13.50 604 0 None 8.46 0.53 3.05
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 0.40 0.18 0.19 7.30 0.00 None 0.09 0.48 2.88
Degree 3 11 6.75 6.00 270 2.05e+32 74.40 2.06 0.30 1.96
Eccentricity 3 4 3.17 3.00 127 9.11e+19 45.96 0.38 0.12 0.46
Triangulated primal graph
Density: 40.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.77 32.29 0.00 -9.14 0.14 0.17 2.84
Degree 3 31 15.70 18.00 628 MAX VALUE 101.34 8.80 0.56 2.89
Eccentricity 2 3 2.45 2.00 98 1.62e+15 35.02 0.50 0.20 0.69
Dual graph
Density: 9.52%
MCB compute time (ms): 152
MCB cycles: 841
Triangles: 1,788
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 0.70 0.50 0.50 67.56 0.00 -93.78 0.04 0.07 3.59
Degree 6 20 12.76 13.00 1,722 MAX VALUE 339.92 2.91 0.23 2.39
Eccentricity 3 4 3.53 4.00 477 MAX VALUE 169.03 0.50 0.14 0.69
MCB cycle size 3 5 3.23 3.00 2,715 MAX VALUE 976.91 0.51 0.16 0.58
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 40
MCB cycles: 99
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 6 3.41 3.00 460 MAX VALUE 162.39 0.73 0.22 1.09
Eccentricity 6 8 6.88 7.00 929 MAX VALUE 259.90 0.58 0.08 0.88
MCB cycle size 4 9 6.55 7.00 648 MAX VALUE 184.10 1.24 0.19 1.61
Triangulated dual graph
Density: 36.33%
Triangles: 49,092
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.62 1.00 0.81 0.78 108.87 0.00 -30.39 0.11 0.14 4.44
Degree 6 90 48.68 54.00 6,572 MAX VALUE 494.38 26.91 0.55 3.95
Eccentricity 2 3 2.59 3.00 350 MAX VALUE 126.01 0.49 0.19 0.68
Triangulated minimal dual graph
Density: 11.61%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.77 0.70 104.46 0.00 -37.92 0.17 0.22 3.14
Degree 2 48 15.56 7.00 2,100 MAX VALUE 293.14 16.05 1.03 2.96
Eccentricity 3 5 3.80 4.00 513 MAX VALUE 178.80 0.54 0.14 0.80
Incidence graph
Density: 1.77%
MCB compute time (ms): 49
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 167.98 2.22 0.72 0.98
Eccentricity 6 9 7.38 7.00 1,292 MAX VALUE 349.12 0.66 0.09 1.00
MCB cycle size 6 10 6.94 6.00 666 MAX VALUE 184.89 1.04 0.15 0.74