Instance: rand-2-40-11-414-200-71_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 4 11 8.78 9.00 79,942 MAX VALUE 19,670.00 1.33 0.15 1.68
Relational linkage 0.36 0.73 0.56 0.55 245.00 0.00 -262.40 0.08 0.14 1.27
Tightness 0.10 0.31 0.20 0.20 83.66 0.00 -669.78 0.04 0.19 2.92
Tuples 84 109 96.55 97.00 39,971 MAX VALUE 1,891.52 4.63 0.05 2.92
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 27 20.70 20.50 828 MAX VALUE 120.72 3.16 0.15 2.38
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: 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 54 228 144.54 116.00 1,590 1.76e+23 53.53 63.83 0.44 2.40
Cluster variables 14 30 22.73 20.00 250 5.91e+14 34.01 5.61 0.25 2.02
Separator constraints 0 207 106.91 84.00 1,176 0 None 65.36 0.61 2.40
Separator variables 0 29 19.09 19.00 210 0 None 7.91 0.41 2.15
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 215 2,964 850.47 581.50 32,318 MAX VALUE 246.87 690.19 0.81 3.60
Cluster variables 29 237 77.03 50.50 2,927 MAX VALUE 157.66 55.50 0.72 3.44
Separator constraints 0 1,710 630.58 503.50 23,962 0 None 415.74 0.66 3.60
Separator variables 0 187 66.13 47.50 2,513 0 None 42.53 0.64 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 0.45 0.58 0.52 0.53 20.98 0.00 -25.88 0.03 0.06 3.58
Degree 13 27 20.70 20.50 828 MAX VALUE 120.72 3.16 0.15 2.38
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 0.84 1.00 0.91 0.91 36.46 0.02 -3.77 0.05 0.05 3.20
Degree 13 38 32.25 35.00 1,290 MAX VALUE 137.66 6.92 0.21 2.35
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.77%
MCB compute time (ms): 7,833
MCB cycles: 8,194
Triangles: 56,230
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 0.57 0.51 0.50 209.89 0.00 -281.28 0.01 0.02 5.04
Degree 28 51 40.37 40.00 16,712 MAX VALUE 1,528.58 4.30 0.11 2.84
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.00 3.00 24,600 MAX VALUE 9,007.21 0.05 0.02 0.02
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,609
MCB cycles: 375
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 542.43 0.90 0.24 1.21
Eccentricity 7 10 8.10 8.00 3,354 MAX VALUE 864.76 0.65 0.08 0.98
MCB cycle size 3 9 6.59 7.00 2,470 MAX VALUE 700.12 1.20 0.18 1.58
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: 10.04%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.82 0.79 341.53 0.00 -85.59 0.14 0.17 3.85
Degree 2 138 41.47 9.00 17,170 MAX VALUE 1,117.30 51.89 1.25 3.42
Eccentricity 3 5 3.77 4.00 1,561 MAX VALUE 544.98 0.55 0.14 0.81
Incidence graph
Density: 0.81%
MCB compute time (ms): 620
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 27 3.65 2.00 1,656 MAX VALUE 407.68 5.38 1.48 0.51
Eccentricity 5 6 5.91 6.00 2,682 MAX VALUE 805.80 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