Instance: rand-2-40-11-414-200-16_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:41
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 8.80 9.00 80,172 MAX VALUE 19,699.00 1.32 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 246.54 0.00 -259.88 0.08 0.15 1.30
Tightness 0.11 0.31 0.20 0.20 82.71 0.00 -673.57 0.04 0.18 2.86
Tuples 84 108 96.83 97.00 40,086 MAX VALUE 1,892.77 4.34 0.04 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 16 29 20.70 20.50 828 MAX VALUE 120.84 2.84 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: 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 78 234 162.00 176.00 1,782 1.06e+24 55.32 52.72 0.33 2.27
Cluster variables 17 30 24.18 26.00 266 1.35e+15 34.84 4.59 0.19 1.64
Separator constraints 0 215 124.36 98.00 1,368 0 None 61.95 0.50 2.27
Separator variables 0 29 20.55 19.00 226 0 None 7.74 0.38 1.77
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 262 3,017 821.03 572.00 31,199 MAX VALUE 246.61 626.14 0.76 3.64
Cluster variables 32 244 75.45 51.50 2,867 MAX VALUE 157.40 52.14 0.69 3.48
Separator constraints 0 1,632 602.16 479.50 22,882 0 None 361.61 0.60 3.60
Separator variables 0 170 64.55 47.50 2,453 0 None 39.23 0.61 3.44
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 0.49 0.59 0.54 0.54 21.60 0.00 -24.70 0.03 0.05 3.48
Degree 16 29 20.70 20.50 828 MAX VALUE 120.84 2.84 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: 84.74%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.91 36.61 0.03 -3.60 0.05 0.05 2.93
Degree 16 39 33.05 35.50 1,322 MAX VALUE 138.97 6.32 0.19 2.32
Eccentricity 1 2 1.90 2.00 76 6.87e+10 24.95 0.30 0.16 0.33
Dual graph
Density: 9.73%
MCB compute time (ms): 7,870
MCB cycles: 8,032
Triangles: 55,605
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 0.50 209.62 0.00 -281.80 0.01 0.01 4.87
Degree 31 53 40.18 40.00 16,634 MAX VALUE 1,527.03 3.97 0.10 2.77
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 3 3.00 3.00 24,096 MAX VALUE 8,824.05 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,570
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 0.30 0.00 None 0.01 12.95 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.46 0.90 0.24 1.21
Eccentricity 6 10 7.97 8.00 3,300 MAX VALUE 857.64 0.73 0.09 1.10
MCB cycle size 3 9 6.68 7.00 2,506 MAX VALUE 706.18 1.14 0.17 1.51
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: 9.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.80 343.13 0.00 -83.61 0.14 0.17 3.80
Degree 2 142 41.15 8.50 17,038 MAX VALUE 1,110.55 51.69 1.26 3.45
Eccentricity 3 5 4.11 4.00 1,703 MAX VALUE 581.06 0.59 0.14 0.89
Incidence graph
Density: 0.81%
MCB compute time (ms): 616
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 407.81 5.37 1.47 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