Instance: rand-2-40-11-414-200-39_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:32
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 8.82 9.00 80,302 MAX VALUE 19,712.80 1.32 0.15 1.67
Relational linkage 0.18 0.73 0.55 0.55 244.09 0.00 -264.85 0.08 0.15 1.29
Tightness 0.11 0.31 0.20 0.20 82.17 0.00 -676.56 0.04 0.18 2.86
Tuples 84 108 96.98 97.00 40,151 MAX VALUE 1,893.42 4.42 0.05 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 28 20.70 20.00 828 MAX VALUE 120.78 3.02 0.15 2.35
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 66 259 149.70 134.00 1,497 1.62e+21 48.84 71.96 0.48 2.30
Cluster variables 15 31 22.80 22.50 228 2.72e+13 30.93 5.79 0.25 2.30
Separator constraints 0 225 108.30 83.00 1,083 0 None 70.68 0.65 2.30
Separator variables 0 29 18.80 18.50 188 0 None 8.08 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 248 3,051 843.74 588.50 32,062 MAX VALUE 246.90 684.44 0.81 3.60
Cluster variables 31 248 76.87 52.50 2,921 MAX VALUE 157.68 55.28 0.72 3.35
Separator constraints 0 1,842 624.32 510.00 23,724 0 None 405.29 0.65 3.60
Separator variables 0 194 65.97 47.50 2,507 0 None 42.21 0.64 3.43
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 0.53 0.53 21.24 0.00 -25.39 0.03 0.05 3.52
Degree 14 28 20.70 20.00 828 MAX VALUE 120.78 3.02 0.15 2.35
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.91 36.67 0.03 -3.53 0.05 0.05 3.27
Degree 14 39 32.65 35.00 1,306 MAX VALUE 138.23 6.75 0.21 2.40
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.75%
MCB compute time (ms): 8,223
MCB cycles: 10,104
Triangles: 55,939
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 0.55 0.51 0.50 209.68 0.00 -281.69 0.01 0.02 5.00
Degree 30 51 40.28 40.00 16,676 MAX VALUE 1,527.80 4.21 0.10 2.83
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 4 3.04 3.00 30,697 MAX VALUE 11,211.10 0.19 0.06 0.16
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,998
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 6 3.81 4.00 1,576 MAX VALUE 542.51 0.90 0.24 1.20
Eccentricity 7 10 7.98 8.00 3,302 MAX VALUE 858.22 0.66 0.08 0.99
MCB cycle size 4 10 6.68 7.00 2,506 MAX VALUE 705.20 1.24 0.19 1.60
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: 9.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.82 0.78 341.30 0.00 -86.04 0.14 0.17 3.77
Degree 2 143 40.70 8.50 16,848 MAX VALUE 1,111.90 50.66 1.24 3.41
Eccentricity 3 5 3.75 4.00 1,553 MAX VALUE 543.00 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 697
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 28 3.65 2.00 1,656 MAX VALUE 407.74 5.38 1.47 0.51
Eccentricity 5 6 5.91 6.00 2,681 MAX VALUE 805.62 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00