Instance: rand-2-40-80-103-800-72_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:59
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,400
Number of unique subscopes: 39
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 30 15.96 16.00 261,779 MAX VALUE 45,004.60 3.56 0.22 2.68
Relational linkage 0.05 0.30 0.15 0.15 470.43 0.00 -5,965.65 0.03 0.20 2.27
Tightness 0.79 0.81 0.80 0.80 82.45 0.00 -22.92 0.00 0.01 4.12
Tuples 1,214 1,350 1,276.90 1,275.00 131,521 MAX VALUE 736.64 31.40 0.02 4.12
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.26 5.00 205 6.74e+26 61.78 1.93 0.37 2.03
Partitions per subscope 80 80 80.00 80.00 3,120 MAX VALUE 170.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 14
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 1 13 5.93 5.50 166 3.86e+19 45.10 3.14 0.53 2.35
Cluster variables 2 13 6.50 6.00 182 2.43e+21 49.24 3.09 0.48 2.22
Separator constraints 0 8 2.25 1.00 63 0 None 2.52 1.12 1.86
Separator variables 0 11 5.07 4.50 142 0 None 2.99 0.59 2.22
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 7 68 29.84 26.00 1,134 MAX VALUE 123.42 15.89 0.53 3.33
Cluster variables 5 34 13.82 11.00 525 MAX VALUE 95.00 7.33 0.53 2.78
Separator constraints 0 43 16.45 15.00 625 0 None 8.86 0.54 2.99
Separator variables 0 25 11.11 10.00 422 0 None 5.56 0.50 2.70
Primal graph
Density: 13.21%
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 0.33 None 0.10 None None None None None 2.56
Degree 1 10 5.15 5.00 206 6.74e+26 61.78 2.02 0.39 2.10
Eccentricity 3 4 3.58 4.00 143 9.09e+21 50.56 0.49 0.14 0.68
Triangulated primal graph
Density: 28.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 None 0.76 None None None None None 2.70
Degree 1 24 11.00 8.50 440 9.78e+35 82.87 7.67 0.70 2.82
Eccentricity 2 4 3.17 3.00 127 6.40e+19 45.60 0.54 0.17 0.81
Dual graph
Density: 9.69%
MCB compute time (ms): 168
MCB cycles: 419
Triangles: 817
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 1.00 0.51 0.50 52.80 0.00 -69.92 0.08 0.16 3.49
Degree 4 17 9.88 10.00 1,018 MAX VALUE 232.45 2.51 0.25 2.30
Eccentricity 3 4 3.76 4.00 387 MAX VALUE 135.60 0.43 0.11 0.55
MCB cycle size 3 5 3.18 3.00 1,331 MAX VALUE 480.44 0.48 0.15 0.48
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 40
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.67 0.00 None 0.04 6.13 0.15
Degree 2 5 3.22 3.00 332 MAX VALUE 118.47 0.64 0.20 0.97
Eccentricity 6 8 6.91 7.00 712 MAX VALUE 198.73 0.61 0.09 0.92
MCB cycle size 3 10 6.91 7.00 442 MAX VALUE 122.07 1.44 0.21 1.73
Triangulated dual graph
Density: 31.72%
Triangles: 16,063
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.79 0.75 81.64 0.00 -25.34 0.13 0.16 4.10
Degree 4 65 32.35 32.00 3,332 MAX VALUE 333.74 18.77 0.58 3.83
Eccentricity 2 3 2.61 3.00 269 MAX VALUE 96.94 0.49 0.19 0.67
Triangulated minimal dual graph
Density: 12.20%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.76 0.67 78.16 0.00 -31.60 0.19 0.25 2.93
Degree 2 39 12.45 7.00 1,282 MAX VALUE 209.67 12.08 0.97 2.79
Eccentricity 3 5 3.81 4.00 392 MAX VALUE 136.58 0.54 0.14 0.80
Incidence graph
Density: 2.03%
MCB compute time (ms): 40
MCB cycles: 64
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 0.63
Degree 1 10 2.88 2.00 412 MAX VALUE 133.17 1.77 0.62 1.08
Eccentricity 6 9 7.80 8.00 1,116 MAX VALUE 293.33 0.64 0.08 0.97
MCB cycle size 6 10 7.72 8.00 494 MAX VALUE 129.78 1.36 0.18 1.01