Instance: rand-2-40-11-414-200-96_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:43
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 2 11 8.79 9.00 80,096 MAX VALUE 19,688.30 1.33 0.15 1.67
Relational linkage 0.18 0.73 0.55 0.55 243.91 0.00 -264.40 0.08 0.14 1.20
Tightness 0.10 0.32 0.20 0.20 83.02 0.00 -672.09 0.04 0.18 2.83
Tuples 82 109 96.73 97.00 40,048 MAX VALUE 1,892.38 4.31 0.04 2.83
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 29 20.70 21.00 828 MAX VALUE 120.66 3.38 0.16 2.34
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 11
Number of leaves: 5
Tree depth: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 64 251 148.73 155.00 1,636 2.53e+23 53.89 63.43 0.43 2.27
Cluster variables 15 30 22.27 23.00 245 4.91e+14 33.83 5.19 0.23 2.27
Separator constraints 0 214 111.09 103.00 1,222 0 None 64.69 0.58 2.27
Separator variables 0 28 18.64 19.00 205 0 None 7.46 0.40 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 219 2,904 847.61 595.50 32,209 MAX VALUE 246.83 682.92 0.81 3.53
Cluster variables 29 243 76.76 52.00 2,917 MAX VALUE 157.55 55.16 0.72 3.38
Separator constraints 0 1,669 626.97 514.00 23,825 0 None 407.29 0.65 3.60
Separator variables 0 183 65.87 48.00 2,503 0 None 42.24 0.64 3.38
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.60 0.54 0.54 21.58 0.00 -24.75 0.03 0.06 3.52
Degree 14 29 20.70 21.00 828 MAX VALUE 120.66 3.38 0.16 2.34
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.90 36.30 0.02 -3.95 0.05 0.06 3.18
Degree 14 39 32.00 35.00 1,280 MAX VALUE 137.33 6.96 0.22 2.33
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.81%
MCB compute time (ms): 4,313
MCB cycles: 9,105
Triangles: 56,863
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.57 0.51 0.51 210.56 0.00 -279.99 0.01 0.02 5.05
Degree 28 52 40.50 41.00 16,768 MAX VALUE 1,529.75 4.51 0.11 2.89
Eccentricity 2 3 2.99 3.00 1,237 MAX VALUE 452.80 0.11 0.04 0.07
MCB cycle size 3 4 3.02 3.00 27,465 MAX VALUE 10,046.00 0.13 0.04 0.08
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,815
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.67 0.00 None 0.03 8.57 0.08
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.74 0.89 0.23 1.20
Eccentricity 7 10 8.42 8.00 3,484 MAX VALUE 879.99 0.80 0.09 1.18
MCB cycle size 3 10 6.58 7.00 2,467 MAX VALUE 698.82 1.27 0.19 1.63
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 9.75%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.79 341.13 0.00 -86.13 0.14 0.17 3.80
Degree 2 136 40.27 8.00 16,672 MAX VALUE 1,105.86 50.66 1.26 3.43
Eccentricity 3 5 3.76 4.00 1,556 MAX VALUE 543.80 0.53 0.14 0.79
Incidence graph
Density: 0.81%
MCB compute time (ms): 568
MCB cycles: 375
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 0.00 0.00 0.00 0.00 None 0.00 None 0.00
Degree 2 29 3.65 2.00 1,656 MAX VALUE 407.63 5.39 1.48 0.50
Eccentricity 4 6 5.90 6.00 2,678 MAX VALUE 805.03 0.31 0.05 0.33
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00