Instance: rand-2-40-80-103-800-6_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:00
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 31 16.00 16.00 262,422 MAX VALUE 45,041.10 3.57 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 469.77 0.00 -5,972.29 0.03 0.20 2.29
Tightness 0.79 0.81 0.80 0.80 82.40 0.00 -22.98 0.00 0.01 4.05
Tuples 1,210 1,350 1,279.96 1,280.00 131,836 MAX VALUE 736.89 29.38 0.02 4.05
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 9.55e+26 62.12 1.88 0.36 1.92
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: 29
Number of leaves: 12
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 15 6.17 6.00 179 5.36e+20 47.73 3.54 0.57 2.32
Cluster variables 2 12 6.59 6.00 191 3.21e+22 51.82 2.83 0.43 2.11
Separator constraints 0 13 2.62 2.00 76 0 None 3.16 1.20 1.91
Separator variables 0 11 5.21 5.00 151 0 None 2.82 0.54 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 5 79 29.89 24.00 1,136 MAX VALUE 118.81 20.80 0.70 3.33
Cluster variables 4 34 13.61 11.00 517 MAX VALUE 93.91 7.47 0.55 2.77
Separator constraints 0 50 16.61 13.50 631 0 None 12.46 0.75 3.16
Separator variables 0 24 10.89 10.00 414 0 None 5.71 0.52 2.82
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 0.05 None None None None None 2.08
Degree 1 10 5.15 5.00 206 9.55e+26 62.12 1.97 0.38 1.99
Eccentricity 3 6 4.40 4.00 176 3.48e+25 58.81 0.66 0.15 1.00
Triangulated primal graph
Density: 27.82%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 None 0.72 None None None None None 2.96
Degree 1 24 10.85 9.00 434 2.48e+36 83.80 7.12 0.66 2.80
Eccentricity 3 5 3.60 4.00 144 1.06e+22 50.72 0.58 0.16 0.86
Dual graph
Density: 9.61%
MCB compute time (ms): 93
MCB cycles: 416
Triangles: 799
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 0.50 0.47 51.12 0.00 -73.09 0.07 0.15 3.15
Degree 3 16 9.81 10.00 1,010 MAX VALUE 230.40 2.79 0.28 2.39
Eccentricity 3 5 4.19 4.00 432 MAX VALUE 147.12 0.44 0.11 0.61
MCB cycle size 3 6 3.17 3.00 1,320 MAX VALUE 477.18 0.43 0.14 0.49
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 24
MCB cycles: 64
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 3.22 3.00 332 MAX VALUE 118.53 0.62 0.19 0.94
Eccentricity 6 8 6.76 7.00 696 MAX VALUE 196.45 0.55 0.08 0.81
MCB cycle size 4 9 7.11 7.00 455 MAX VALUE 124.50 1.20 0.17 1.51
Triangulated dual graph
Density: 31.45%
Triangles: 15,996
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.79 0.77 81.21 0.00 -25.85 0.13 0.16 4.07
Degree 3 65 32.08 31.00 3,304 MAX VALUE 332.69 18.51 0.58 3.66
Eccentricity 2 4 3.21 3.00 331 MAX VALUE 119.37 0.43 0.13 0.58
Triangulated minimal dual graph
Density: 12.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.76 0.69 78.75 0.00 -30.48 0.18 0.23 2.84
Degree 2 38 12.74 6.00 1,312 MAX VALUE 210.20 12.48 0.98 2.86
Eccentricity 3 5 3.69 4.00 380 MAX VALUE 133.45 0.50 0.14 0.72
Incidence graph
Density: 2.03%
MCB compute time (ms): 35
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 0.12
Degree 1 10 2.88 2.00 412 MAX VALUE 133.52 1.76 0.61 1.11
Eccentricity 7 12 9.09 9.00 1,300 MAX VALUE 314.69 1.06 0.12 1.40
MCB cycle size 6 12 7.75 8.00 496 MAX VALUE 130.42 1.09 0.14 0.76