Instance: rand-2-40-11-414-200-12_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:48
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 8.79 9.00 80,068 MAX VALUE 19,685.50 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 244.73 0.00 -263.31 0.08 0.15 1.31
Tightness 0.10 0.31 0.20 0.20 83.14 0.00 -671.73 0.04 0.18 2.88
Tuples 84 109 96.70 97.00 40,034 MAX VALUE 1,892.22 4.41 0.05 2.88
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 29 20.70 21.00 828 MAX VALUE 120.78 3.02 0.15 2.25
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 61 260 152.70 113.50 1,527 1.96e+21 49.03 75.42 0.49 2.30
Cluster variables 15 31 22.80 20.00 228 2.68e+13 30.92 6.05 0.27 1.64
Separator constraints 0 244 111.30 86.50 1,113 0 None 75.84 0.68 2.30
Separator variables 0 30 18.80 18.00 188 0 None 8.27 0.44 1.83
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 232 2,876 827.66 593.00 31,451 MAX VALUE 246.72 635.28 0.77 3.60
Cluster variables 30 243 75.92 52.00 2,885 MAX VALUE 157.50 52.89 0.70 3.32
Separator constraints 0 1,630 608.24 485.50 23,113 0 None 365.97 0.60 3.60
Separator variables 0 182 65.03 47.50 2,471 0 None 39.95 0.61 3.28
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 0.46 0.58 0.53 0.53 21.34 0.00 -25.19 0.03 0.05 3.58
Degree 14 29 20.70 21.00 828 MAX VALUE 120.78 3.02 0.15 2.25
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 0.85 1.00 0.92 0.92 36.70 0.03 -3.49 0.04 0.05 3.03
Degree 14 38 32.65 35.00 1,306 MAX VALUE 138.20 6.84 0.21 2.10
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.75%
MCB compute time (ms): 9,696
MCB cycles: 8,639
Triangles: 55,995
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 0.56 0.51 0.50 209.72 0.00 -281.62 0.01 0.02 4.79
Degree 29 54 40.28 40.00 16,676 MAX VALUE 1,527.76 4.29 0.11 2.82
Eccentricity 2 3 2.99 3.00 1,238 MAX VALUE 453.20 0.10 0.03 0.05
MCB cycle size 3 4 3.01 3.00 25,998 MAX VALUE 9,514.21 0.10 0.03 0.05
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,786
MCB cycles: 376
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.10 0.00 0.00 0.23 0.00 None 0.01 11.94 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.23 0.91 0.24 1.20
Eccentricity 7 10 8.04 8.00 3,330 MAX VALUE 861.76 0.65 0.08 0.99
MCB cycle size 3 9 6.66 7.00 2,504 MAX VALUE 706.60 1.16 0.17 1.53
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: 9.90%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 1.00 0.83 0.79 342.03 0.00 -84.95 0.14 0.17 3.81
Degree 2 138 40.90 9.00 16,934 MAX VALUE 1,110.21 51.29 1.25 3.41
Eccentricity 3 5 3.74 4.00 1,549 MAX VALUE 542.11 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 757
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 407.75 5.38 1.47 0.50
Eccentricity 5 6 5.90 6.00 2,680 MAX VALUE 805.44 0.30 0.05 0.32
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00