Instance: rand-2-40-11-414-200-10_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:34
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 8.81 9.00 80,284 MAX VALUE 19,711.20 1.32 0.15 1.67
Relational linkage 0.18 0.73 0.56 0.55 244.91 0.00 -263.19 0.08 0.15 1.30
Tightness 0.08 0.30 0.20 0.20 82.25 0.00 -677.29 0.04 0.19 2.90
Tuples 85 111 96.96 97.00 40,142 MAX VALUE 1,893.29 4.63 0.05 2.90
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 17 25 20.70 21.00 828 MAX VALUE 120.93 2.43 0.12 2.12
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: 6
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 89 250 151.70 127.50 1,517 3.05e+21 49.47 59.56 0.39 2.30
Cluster variables 18 31 23.30 21.50 233 3.85e+13 31.28 4.75 0.20 2.16
Separator constraints 0 222 110.30 89.50 1,103 0 None 62.13 0.56 2.30
Separator variables 0 29 19.30 19.50 193 0 None 7.58 0.39 2.16
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 279 3,164 843.24 567.50 32,043 MAX VALUE 247.21 669.34 0.79 3.60
Cluster variables 33 252 76.84 48.00 2,920 MAX VALUE 157.80 54.64 0.71 3.38
Separator constraints 0 1,634 625.50 500.50 23,769 0 None 391.20 0.63 3.60
Separator variables 0 182 65.95 46.00 2,506 0 None 41.42 0.63 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 0.48 0.58 0.52 0.52 20.97 0.00 -25.87 0.03 0.05 3.48
Degree 17 25 20.70 21.00 828 MAX VALUE 120.93 2.43 0.12 2.12
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.36%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.91 0.91 36.59 0.03 -3.62 0.05 0.05 3.12
Degree 17 39 32.90 35.50 1,316 MAX VALUE 138.72 6.48 0.20 2.37
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.68%
MCB compute time (ms): 47,657
MCB cycles: 8,185
Triangles: 54,622
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 0.52 0.50 0.50 208.84 0.00 -283.33 0.01 0.01 4.71
Degree 32 48 39.97 40.00 16,548 MAX VALUE 1,525.42 3.36 0.08 2.60
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.01 3.00 24,598 MAX VALUE 9,004.51 0.07 0.02 0.03
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,526
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 542.60 0.89 0.23 1.19
Eccentricity 6 10 8.34 8.00 3,451 MAX VALUE 876.48 0.69 0.08 1.05
MCB cycle size 4 10 6.45 7.00 2,420 MAX VALUE 691.97 1.23 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: 9.63%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.78 340.58 0.00 -87.07 0.14 0.17 3.76
Degree 2 138 39.78 9.00 16,470 MAX VALUE 1,106.75 49.70 1.25 3.49
Eccentricity 3 6 3.98 4.00 1,646 MAX VALUE 566.77 0.59 0.15 0.89
Incidence graph
Density: 0.81%
MCB compute time (ms): 721
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 25 3.65 2.00 1,656 MAX VALUE 407.89 5.35 1.47 0.48
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