Instance: rand-2-40-11-414-200-81_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:37
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 8.83 9.00 80,416 MAX VALUE 19,728.80 1.31 0.15 1.66
Relational linkage 0.27 0.73 0.56 0.55 246.00 0.00 -261.09 0.08 0.15 1.30
Tightness 0.12 0.33 0.20 0.20 81.70 0.00 -678.19 0.03 0.17 2.80
Tuples 81 107 97.12 97.00 40,208 MAX VALUE 1,894.07 4.13 0.04 2.80
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 26 20.70 21.00 828 MAX VALUE 120.81 2.87 0.14 2.37
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 68 250 153.40 131.50 1,534 2.59e+21 49.31 67.66 0.44 2.30
Cluster variables 16 31 23.30 22.00 233 3.53e+13 31.19 5.59 0.24 1.70
Separator constraints 0 225 112.00 93.00 1,120 0 None 69.79 0.62 2.30
Separator variables 0 29 19.30 19.00 193 0 None 8.12 0.42 1.70
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 231 3,153 842.32 583.00 32,008 MAX VALUE 246.84 672.30 0.80 3.60
Cluster variables 30 251 76.74 50.00 2,916 MAX VALUE 157.69 54.47 0.71 3.44
Separator constraints 0 1,599 623.34 489.50 23,687 0 None 391.34 0.63 3.60
Separator variables 0 178 65.84 47.00 2,502 0 None 41.23 0.63 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 0.46 0.57 0.52 0.52 20.82 0.00 -26.16 0.03 0.05 3.50
Degree 15 26 20.70 21.00 828 MAX VALUE 120.81 2.87 0.14 2.37
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 0.92 0.90 36.72 0.03 -3.47 0.04 0.05 2.87
Degree 15 39 32.90 35.00 1,316 MAX VALUE 138.63 6.60 0.20 2.20
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.73%
MCB compute time (ms): 22,005
MCB cycles: 8,213
Triangles: 55,534
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 0.54 0.51 0.50 209.24 0.00 -282.53 0.01 0.01 4.92
Degree 29 50 40.20 40.00 16,642 MAX VALUE 1,527.06 4.07 0.10 2.80
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 24,683 MAX VALUE 9,035.56 0.07 0.02 0.03
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,823
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 0.83 0.00 None 0.02 12.17 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 543.13 0.86 0.23 1.21
Eccentricity 6 9 8.07 8.00 3,343 MAX VALUE 863.31 0.67 0.08 1.00
MCB cycle size 3 10 6.63 7.00 2,488 MAX VALUE 702.47 1.23 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: 9.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.83 0.79 341.93 0.00 -85.09 0.14 0.17 3.87
Degree 2 139 41.19 9.00 17,054 MAX VALUE 1,113.71 51.48 1.25 3.49
Eccentricity 3 6 4.09 4.00 1,692 MAX VALUE 578.26 0.60 0.15 0.91
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 26 3.65 2.00 1,656 MAX VALUE 407.77 5.37 1.47 0.51
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