Instance: rand-2-40-80-103-800-44_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:54
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 3 31 16.01 16.00 262,485 MAX VALUE 45,037.00 3.59 0.22 2.70
Relational linkage 0.04 0.28 0.15 0.15 466.02 0.00 -5,999.81 0.03 0.20 2.30
Tightness 0.79 0.81 0.80 0.80 82.39 0.00 -22.99 0.01 0.01 4.10
Tuples 1,204 1,351 1,280.40 1,284.00 131,881 MAX VALUE 736.92 32.34 0.03 4.10
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 9 5.26 5.00 205 9.86e+26 62.16 1.81 0.34 1.95
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: 12
Tree depth: 4
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 5.86 5.00 164 1.63e+19 44.24 3.52 0.60 2.31
Cluster variables 2 13 6.11 5.00 171 7.99e+20 48.13 2.64 0.43 2.01
Separator constraints 0 10 2.18 1.50 61 0 None 2.62 1.20 1.77
Separator variables 0 10 4.68 4.00 131 0 None 2.45 0.52 2.01
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 4 80 30.68 27.50 1,166 MAX VALUE 122.05 19.10 0.62 3.11
Cluster variables 4 35 13.53 11.00 514 MAX VALUE 93.46 7.81 0.58 2.84
Separator constraints 0 45 17.53 15.00 666 0 None 12.01 0.69 3.15
Separator variables 0 26 10.82 10.00 411 0 None 6.12 0.57 2.71
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 0.67 None 0.14 None None None None None 2.85
Degree 1 9 5.15 5.00 206 9.86e+26 62.16 1.90 0.37 2.02
Eccentricity 3 4 3.62 4.00 145 1.62e+22 51.14 0.48 0.13 0.66
Triangulated primal graph
Density: 26.79%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 None 0.77 None None None None None 3.00
Degree 1 25 10.45 7.00 418 4.53e+35 82.10 7.27 0.70 2.70
Eccentricity 2 4 3.02 3.00 121 8.00e+18 43.53 0.57 0.19 0.85
Dual graph
Density: 9.52%
MCB compute time (ms): 83
MCB cycles: 420
Triangles: 776
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 1.00 0.51 0.49 52.19 0.00 -71.01 0.08 0.15 3.37
Degree 3 14 9.71 10.00 1,000 MAX VALUE 230.47 2.39 0.25 2.20
Eccentricity 3 5 3.95 4.00 407 MAX VALUE 140.96 0.40 0.10 0.56
MCB cycle size 3 5 3.20 3.00 1,343 MAX VALUE 483.88 0.51 0.16 0.51
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 22
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 118.77 0.59 0.18 0.89
Eccentricity 6 8 6.84 7.00 705 MAX VALUE 197.76 0.57 0.08 0.85
MCB cycle size 4 9 6.98 7.00 447 MAX VALUE 123.19 1.29 0.19 1.63
Triangulated dual graph
Density: 31.41%
Triangles: 16,652
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.79 0.77 81.78 0.00 -24.84 0.12 0.15 4.13
Degree 3 65 32.04 31.00 3,300 MAX VALUE 329.84 19.39 0.61 3.65
Eccentricity 2 4 2.88 3.00 297 MAX VALUE 107.94 0.40 0.14 0.54
Triangulated minimal dual graph
Density: 12.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.77 0.68 79.31 0.00 -30.00 0.19 0.24 2.96
Degree 2 40 13.11 6.00 1,350 MAX VALUE 213.80 12.49 0.95 2.87
Eccentricity 3 5 3.73 4.00 384 MAX VALUE 134.35 0.56 0.15 0.83
Incidence graph
Density: 2.03%
MCB compute time (ms): 30
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 0.08
Degree 1 9 2.88 2.00 412 MAX VALUE 133.55 1.74 0.60 1.09
Eccentricity 6 10 8.10 8.00 1,158 MAX VALUE 298.49 0.75 0.09 1.12
MCB cycle size 6 10 7.41 8.00 474 MAX VALUE 127.23 1.26 0.17 0.93