Instance: rand-2-40-80-103-800-32_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:09
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 29 16.01 16.00 262,518 MAX VALUE 45,049.60 3.55 0.22 2.68
Relational linkage 0.04 0.28 0.15 0.15 471.79 0.00 -5,964.14 0.03 0.21 2.33
Tightness 0.78 0.81 0.80 0.80 82.39 0.00 -23.00 0.00 0.01 4.11
Tuples 1,211 1,380 1,280.52 1,277.00 131,894 MAX VALUE 736.94 30.53 0.02 4.11
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 12 5.26 5.00 205 4.34e+26 61.33 2.19 0.42 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: 13
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 16 6.36 5.00 178 7.69e+19 45.79 4.16 0.65 2.31
Cluster variables 2 13 6.29 5.00 176 1.17e+21 48.51 2.91 0.46 2.15
Separator constraints 0 11 2.68 1.00 75 0 None 3.37 1.26 1.81
Separator variables 0 11 4.86 4.00 136 0 None 2.77 0.57 2.15
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 6 86 32.37 22.50 1,230 MAX VALUE 122.37 23.46 0.72 3.31
Cluster variables 4 39 14.11 10.50 536 MAX VALUE 94.18 8.78 0.62 2.89
Separator constraints 0 57 18.42 14.00 700 0 None 13.98 0.76 2.95
Separator variables 0 29 11.39 9.00 433 0 None 6.84 0.60 2.83
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 0.40 None 0.13 None None None None None 2.51
Degree 1 12 5.15 5.00 206 4.34e+26 61.33 2.26 0.44 2.10
Eccentricity 3 5 3.85 4.00 154 1.77e+23 53.53 0.53 0.14 0.78
Triangulated primal graph
Density: 27.44%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.43 1.00 None 0.74 None None None None None 3.03
Degree 1 26 10.70 8.00 428 3.96e+35 81.97 7.65 0.71 2.74
Eccentricity 2 4 3.20 3.00 128 9.60e+19 46.01 0.51 0.16 0.75
Dual graph
Density: 10.09%
MCB compute time (ms): 124
MCB cycles: 484
Triangles: 955
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 0.50 54.12 0.00 -67.61 0.09 0.17 3.62
Degree 3 19 10.29 10.00 1,060 MAX VALUE 234.99 3.11 0.30 2.52
Eccentricity 3 4 3.83 4.00 395 MAX VALUE 137.90 0.37 0.10 0.45
MCB cycle size 3 5 3.26 3.00 1,579 MAX VALUE 566.13 0.57 0.18 0.62
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 32
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 118.18 0.67 0.21 1.01
Eccentricity 5 8 6.73 7.00 693 MAX VALUE 196.00 0.54 0.08 0.80
MCB cycle size 3 9 6.89 7.00 441 MAX VALUE 122.14 1.32 0.19 1.64
Triangulated dual graph
Density: 34.99%
Triangles: 20,864
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.63 1.00 0.81 0.79 83.05 0.00 -23.08 0.11 0.13 4.10
Degree 3 67 35.69 38.00 3,676 MAX VALUE 340.23 21.08 0.59 3.75
Eccentricity 2 4 2.85 3.00 294 MAX VALUE 106.60 0.45 0.16 0.63
Triangulated minimal dual graph
Density: 11.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.77 0.71 79.14 0.00 -30.35 0.19 0.25 2.87
Degree 2 39 12.21 5.00 1,258 MAX VALUE 205.35 12.08 0.99 2.80
Eccentricity 3 4 3.50 3.00 360 MAX VALUE 127.83 0.50 0.14 0.69
Incidence graph
Density: 2.03%
MCB compute time (ms): 28
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 0.38
Degree 1 12 2.88 2.00 412 MAX VALUE 132.73 1.85 0.64 1.08
Eccentricity 6 10 8.14 8.00 1,164 MAX VALUE 299.23 0.74 0.09 1.12
MCB cycle size 6 10 7.44 8.00 476 MAX VALUE 127.52 1.25 0.17 0.93