Instance: rand-2-40-80-103-800-82_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:52
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: 16,160
Number of unique subscopes: 36
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 15.98 16.00 258,253 MAX VALUE 44,357.30 3.57 0.22 2.69
Relational linkage 0.05 0.26 0.15 0.15 427.21 0.00 -5,558.85 0.03 0.20 2.30
Tightness 0.79 0.81 0.80 0.80 82.42 0.00 -22.96 0.00 0.01 4.06
Tuples 1,202 1,348 1,278.73 1,278.00 131,709 MAX VALUE 736.79 29.87 0.02 4.06
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 5.61 5.50 202 5.81e+25 59.32 2.11 0.38 2.04
Partitions per subscope 80 80 80.00 80.00 2,880 MAX VALUE 157.75 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 13
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 1 19 6.68 4.50 187 6.22e+18 43.27 5.48 0.82 2.43
Cluster variables 2 13 6.04 5.00 169 1.20e+20 46.23 3.20 0.53 2.23
Separator constraints 0 16 3.00 1.00 84 0 None 4.58 1.53 1.72
Separator variables 0 11 4.61 4.00 129 0 None 3.04 0.66 2.23
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 4 89 34.79 29.00 1,322 MAX VALUE 127.12 21.50 0.62 3.24
Cluster variables 4 34 14.00 11.50 532 MAX VALUE 94.93 7.81 0.56 2.76
Separator constraints 0 50 20.42 18.00 776 0 None 12.86 0.63 3.17
Separator variables 0 26 11.29 9.50 429 0 None 6.01 0.53 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 None None None None None None 2.95
Degree 1 10 5.15 5.00 206 5.81e+25 59.32 2.43 0.47 2.16
Eccentricity 3 5 3.73 4.00 149 4.49e+22 52.16 0.55 0.15 0.81
Triangulated primal graph
Density: 26.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 None 0.79 None None None None None 3.16
Degree 1 23 10.35 7.50 414 6.89e+33 77.92 7.58 0.73 2.59
Eccentricity 2 4 3.20 3.00 128 8.53e+19 45.89 0.56 0.17 0.83
Dual graph
Density: 10.39%
MCB compute time (ms): 73
MCB cycles: 512
Triangles: 972
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 0.53 0.49 54.40 0.00 -67.72 0.12 0.22 3.50
Degree 3 18 10.60 11.00 1,092 MAX VALUE 238.98 2.87 0.27 2.41
Eccentricity 3 5 3.84 4.00 396 MAX VALUE 137.99 0.44 0.11 0.60
MCB cycle size 3 5 3.27 3.00 1,676 MAX VALUE 600.70 0.57 0.17 0.64
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 21
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 118.89 0.57 0.18 0.86
Eccentricity 6 8 6.83 7.00 704 MAX VALUE 197.56 0.61 0.09 0.91
MCB cycle size 4 9 6.92 7.00 443 MAX VALUE 122.65 1.25 0.18 1.60
Triangulated dual graph
Density: 32.84%
Triangles: 17,460
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.80 0.79 82.05 0.00 -24.67 0.12 0.15 4.04
Degree 3 68 33.50 39.00 3,450 MAX VALUE 337.01 18.97 0.57 3.73
Eccentricity 2 4 2.89 3.00 298 MAX VALUE 107.64 0.52 0.18 0.77
Triangulated minimal dual graph
Density: 11.94%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 1.00 0.75 0.68 77.52 0.00 -32.56 0.19 0.25 3.00
Degree 2 38 12.17 6.00 1,254 MAX VALUE 210.67 11.49 0.94 2.92
Eccentricity 3 5 3.80 4.00 391 MAX VALUE 136.17 0.58 0.15 0.87
Incidence graph
Density: 2.03%
MCB compute time (ms): 31
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 0.56
Degree 1 10 2.88 2.00 412 MAX VALUE 130.72 1.91 0.66 1.16
Eccentricity 7 10 8.06 8.00 1,153 MAX VALUE 297.85 0.76 0.09 1.12
MCB cycle size 6 10 7.34 8.00 470 MAX VALUE 126.85 1.12 0.15 0.83