Instance: rand-2-40-11-414-200-43_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:29
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 4 11 8.79 9.00 80,072 MAX VALUE 19,687.20 1.32 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 246.09 0.00 -259.62 0.07 0.13 1.18
Tightness 0.07 0.32 0.20 0.20 83.12 0.00 -671.91 0.04 0.18 2.87
Tuples 82 112 96.71 97.00 40,036 MAX VALUE 1,892.24 4.41 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 15 27 20.70 21.00 828 MAX VALUE 120.83 2.81 0.14 2.31
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: 10
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 70 257 158.50 144.00 1,585 3.29e+21 49.54 72.01 0.45 2.30
Cluster variables 16 31 23.40 22.50 234 3.62e+13 31.22 5.75 0.25 2.16
Separator constraints 0 237 117.10 88.00 1,171 0 None 74.31 0.63 2.30
Separator variables 0 30 19.40 18.50 194 0 None 8.27 0.43 2.30
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 214 2,693 821.74 578.50 31,226 MAX VALUE 246.64 621.32 0.76 3.64
Cluster variables 29 224 75.92 50.00 2,885 MAX VALUE 157.50 52.91 0.70 3.49
Separator constraints 0 1,529 602.95 501.50 22,912 0 None 359.55 0.60 3.64
Separator variables 0 177 65.03 46.50 2,471 0 None 40.20 0.62 3.53
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 0.58 0.53 0.53 21.14 0.00 -25.56 0.03 0.05 3.55
Degree 15 27 20.70 21.00 828 MAX VALUE 120.83 2.81 0.14 2.31
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.92 36.75 0.03 -3.43 0.04 0.05 3.28
Degree 15 39 32.95 35.00 1,318 MAX VALUE 138.69 6.57 0.20 2.24
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.72%
MCB compute time (ms): 60,840
MCB cycles: 8,006
Triangles: 55,427
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.54 0.51 0.50 209.39 0.00 -282.25 0.01 0.01 4.89
Degree 28 51 40.16 40.00 16,628 MAX VALUE 1,526.95 3.87 0.10 2.75
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.00 3.00 24,037 MAX VALUE 8,800.96 0.05 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,646
MCB cycles: 375
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 7 3.81 4.00 1,576 MAX VALUE 543.88 0.84 0.22 1.17
Eccentricity 7 10 8.55 9.00 3,539 MAX VALUE 887.02 0.68 0.08 1.03
MCB cycle size 4 10 6.47 7.00 2,426 MAX VALUE 692.45 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: 9.57%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.78 341.28 0.00 -86.42 0.14 0.17 3.74
Degree 2 136 39.54 9.00 16,370 MAX VALUE 1,106.73 49.50 1.25 3.44
Eccentricity 3 5 3.73 4.00 1,544 MAX VALUE 540.67 0.52 0.14 0.77
Incidence graph
Density: 0.81%
MCB compute time (ms): 561
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 407.79 5.37 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 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