Instance: rand-2-40-11-414-200-3_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:47
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 8.80 9.00 80,172 MAX VALUE 19,695.50 1.34 0.15 1.68
Relational linkage 0.18 0.73 0.55 0.55 243.82 0.00 -265.48 0.08 0.15 1.31
Tightness 0.10 0.31 0.20 0.20 82.71 0.00 -674.52 0.04 0.19 2.91
Tuples 83 109 96.83 97.00 40,086 MAX VALUE 1,892.71 4.64 0.05 2.91
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 120.70 3.26 0.16 2.39
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 60 246 150.64 117.00 1,657 2.69e+23 53.95 68.34 0.45 2.40
Cluster variables 15 30 22.73 21.00 250 5.98e+14 34.02 5.54 0.24 1.85
Separator constraints 0 227 113.00 95.00 1,243 0 None 70.37 0.62 2.40
Separator variables 0 29 19.09 19.00 210 0 None 7.87 0.41 2.02
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 219 2,945 822.32 586.50 31,248 MAX VALUE 246.41 625.94 0.76 3.53
Cluster variables 29 245 75.55 52.00 2,871 MAX VALUE 157.32 52.38 0.69 3.49
Separator constraints 0 1,563 602.08 512.50 22,879 0 None 358.20 0.59 3.56
Separator variables 0 170 64.66 48.00 2,457 0 None 39.54 0.61 3.49
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 0.43 0.60 0.53 0.53 21.16 0.00 -25.55 0.03 0.06 3.58
Degree 14 28 20.70 20.00 828 MAX VALUE 120.70 3.26 0.16 2.39
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.69%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.45 0.02 -3.78 0.05 0.05 3.22
Degree 14 39 32.25 35.00 1,290 MAX VALUE 137.68 6.88 0.21 2.34
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.79%
MCB compute time (ms): 9,322
MCB cycles: 9,128
Triangles: 56,552
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 0.50 210.16 0.00 -280.76 0.01 0.02 5.05
Degree 28 52 40.43 41.00 16,738 MAX VALUE 1,529.06 4.46 0.11 2.88
Eccentricity 2 3 2.99 3.00 1,236 MAX VALUE 452.39 0.12 0.04 0.08
MCB cycle size 3 4 3.02 3.00 27,567 MAX VALUE 10,080.80 0.14 0.05 0.10
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,865
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.07 0.00 None 0.03 9.84 0.10
Degree 2 6 3.81 4.00 1,576 MAX VALUE 541.70 0.92 0.24 1.23
Eccentricity 7 9 8.05 8.00 3,333 MAX VALUE 862.20 0.64 0.08 0.96
MCB cycle size 3 9 6.70 7.00 2,513 MAX VALUE 706.51 1.22 0.18 1.59
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: 9.66%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.82 0.79 340.45 0.00 -86.67 0.14 0.17 3.82
Degree 2 140 39.89 9.00 16,514 MAX VALUE 1,102.17 50.26 1.26 3.49
Eccentricity 3 6 4.25 4.00 1,760 MAX VALUE 595.05 0.59 0.14 0.89
Incidence graph
Density: 0.81%
MCB compute time (ms): 1,017
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 407.67 5.39 1.48 0.51
Eccentricity 5 6 5.90 6.00 2,678 MAX VALUE 805.07 0.30 0.05 0.33
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00