Instance: rand-2-40-11-414-200-41_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:38
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 8.81 9.00 80,222 MAX VALUE 19,700.50 1.34 0.15 1.68
Relational linkage 0.27 0.73 0.56 0.55 245.09 0.00 -262.93 0.08 0.15 1.32
Tightness 0.10 0.35 0.20 0.20 82.50 0.00 -676.29 0.04 0.20 2.93
Tuples 79 109 96.89 97.00 40,111 MAX VALUE 1,892.93 4.80 0.05 2.93
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 12 27 20.70 21.00 828 MAX VALUE 120.66 3.31 0.16 2.47
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 50 239 149.27 141.00 1,642 2.24e+23 53.76 67.39 0.45 2.40
Cluster variables 13 30 22.45 22.00 247 4.99e+14 33.84 5.74 0.26 1.97
Separator constraints 0 210 111.64 97.00 1,228 0 None 69.17 0.62 2.27
Separator variables 0 28 18.82 19.00 207 0 None 7.92 0.42 1.97
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
Tree depth: 5
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 205 2,811 831.26 591.00 31,588 MAX VALUE 246.61 638.21 0.77 3.60
Cluster variables 28 234 75.97 50.50 2,887 MAX VALUE 157.42 53.06 0.70 3.49
Separator constraints 0 1,625 610.87 504.00 23,213 0 None 367.69 0.60 3.56
Separator variables 0 184 65.08 48.50 2,473 0 None 40.15 0.62 3.46
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 0.62 0.53 0.54 21.36 0.00 -25.16 0.03 0.06 3.52
Degree 12 27 20.70 21.00 828 MAX VALUE 120.66 3.31 0.16 2.47
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.89 36.45 0.02 -3.78 0.05 0.06 3.16
Degree 12 39 32.10 35.50 1,284 MAX VALUE 137.38 7.10 0.22 2.39
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.80%
MCB compute time (ms): 38,716
MCB cycles: 8,681
Triangles: 56,593
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 0.58 0.51 0.50 210.31 0.00 -280.49 0.01 0.02 5.10
Degree 27 51 40.46 41.00 16,750 MAX VALUE 1,529.45 4.36 0.11 2.87
Eccentricity 2 3 2.99 3.00 1,239 MAX VALUE 453.61 0.08 0.03 0.04
MCB cycle size 3 4 3.01 3.00 26,136 MAX VALUE 9,563.81 0.10 0.03 0.06
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,742
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 7 3.81 4.00 1,576 MAX VALUE 542.96 0.87 0.23 1.20
Eccentricity 7 10 8.57 9.00 3,550 MAX VALUE 887.71 0.82 0.10 1.21
MCB cycle size 4 9 6.54 7.00 2,454 MAX VALUE 698.18 1.15 0.18 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: 9.39%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.82 0.78 340.68 0.00 -87.03 0.14 0.17 3.76
Degree 2 139 38.78 9.00 16,054 MAX VALUE 1,097.56 48.91 1.26 3.47
Eccentricity 3 5 3.81 4.00 1,576 MAX VALUE 549.04 0.54 0.14 0.81
Incidence graph
Density: 0.81%
MCB compute time (ms): 835
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 407.62 5.39 1.48 0.52
Eccentricity 5 6 5.91 6.00 2,681 MAX VALUE 805.62 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