Instance: rand-2-40-11-414-200-24_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:35
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 3 11 8.77 9.00 79,870 MAX VALUE 19,661.10 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 243.36 0.00 -266.16 0.08 0.15 1.32
Tightness 0.12 0.30 0.20 0.20 83.96 0.00 -667.55 0.04 0.18 2.87
Tuples 85 107 96.46 97.00 39,935 MAX VALUE 1,891.18 4.46 0.05 2.87
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 27 20.70 21.00 828 MAX VALUE 120.68 3.23 0.16 2.32
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 54 247 162.73 141.00 1,790 4.93e+23 54.56 75.23 0.46 2.40
Cluster variables 14 30 23.55 22.00 259 8.15e+14 34.33 6.17 0.26 1.64
Separator constraints 0 230 125.09 115.00 1,376 0 None 79.87 0.64 2.40
Separator variables 0 29 19.91 21.00 219 0 None 8.58 0.43 1.85
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 188 3,133 845.79 570.00 32,140 MAX VALUE 246.82 674.01 0.80 3.56
Cluster variables 27 249 76.58 49.00 2,910 MAX VALUE 157.56 54.32 0.71 3.39
Separator constraints 0 1,572 625.66 509.00 23,775 0 None 390.52 0.62 3.60
Separator variables 0 177 65.68 47.00 2,496 0 None 41.06 0.63 3.39
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 0.45 0.63 0.54 0.53 21.45 0.00 -25.02 0.04 0.07 3.55
Degree 13 27 20.70 21.00 828 MAX VALUE 120.68 3.23 0.16 2.32
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.91 36.73 0.03 -3.46 0.04 0.05 3.13
Degree 13 39 32.70 35.50 1,308 MAX VALUE 138.25 6.77 0.21 2.24
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.78%
MCB compute time (ms): 45,123
MCB cycles: 8,060
Triangles: 56,364
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 0.50 210.15 0.00 -280.79 0.01 0.02 4.94
Degree 26 50 40.41 41.00 16,730 MAX VALUE 1,529.03 4.26 0.11 2.83
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.00 3.00 24,196 MAX VALUE 8,859.42 0.04 0.01 0.01
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,987
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.55 0.00 None 0.01 8.96 0.10
Degree 2 7 3.81 4.00 1,576 MAX VALUE 542.19 0.91 0.24 1.22
Eccentricity 7 10 8.12 8.00 3,363 MAX VALUE 865.81 0.67 0.08 1.01
MCB cycle size 3 9 6.60 7.00 2,475 MAX VALUE 699.96 1.26 0.19 1.61
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: 10.02%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.83 0.80 342.70 0.00 -83.96 0.14 0.16 3.75
Degree 2 140 41.36 8.50 17,124 MAX VALUE 1,110.60 51.92 1.26 3.44
Eccentricity 3 5 3.75 4.00 1,551 MAX VALUE 542.62 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 950
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 27 3.65 2.00 1,656 MAX VALUE 407.64 5.39 1.48 0.50
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00