Instance: rand-2-40-11-414-200-51_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:40
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 8.80 9.00 80,130 MAX VALUE 19,692.70 1.33 0.15 1.67
Relational linkage 0.36 0.73 0.56 0.55 245.00 0.00 -261.80 0.07 0.13 1.20
Tightness 0.09 0.33 0.20 0.20 82.88 0.00 -672.69 0.04 0.18 2.83
Tuples 81 110 96.78 97.00 40,065 MAX VALUE 1,892.56 4.30 0.04 2.83
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 27 20.70 21.00 828 MAX VALUE 120.75 3.03 0.15 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: 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 70 259 144.80 130.00 1,448 1.57e+21 48.81 62.25 0.43 2.30
Cluster variables 15 31 22.30 21.50 223 2.30e+13 30.77 5.24 0.23 2.30
Separator constraints 0 204 103.40 94.50 1,034 0 None 58.99 0.57 2.30
Separator variables 0 28 18.30 19.00 183 0 None 7.50 0.41 2.30
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 203 2,742 822.95 555.00 31,272 MAX VALUE 246.48 625.33 0.76 3.60
Cluster variables 28 234 75.89 50.00 2,884 MAX VALUE 157.44 52.89 0.70 3.42
Separator constraints 0 1,590 603.47 486.50 22,932 0 None 357.35 0.59 3.60
Separator variables 0 183 65.00 46.50 2,470 0 None 40.06 0.62 3.42
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 0.47 0.62 0.54 0.54 21.46 0.00 -24.97 0.03 0.06 3.48
Degree 14 27 20.70 21.00 828 MAX VALUE 120.75 3.03 0.15 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: 83.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.91 0.90 36.47 0.02 -3.74 0.05 0.05 3.07
Degree 14 38 32.40 35.00 1,296 MAX VALUE 137.93 6.75 0.21 2.23
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.76%
MCB compute time (ms): 17,340
MCB cycles: 9,027
Triangles: 55,929
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 0.55 0.51 0.50 209.72 0.00 -281.62 0.01 0.02 4.87
Degree 27 52 40.29 41.00 16,680 MAX VALUE 1,527.90 4.18 0.10 2.82
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.03 3.00 27,319 MAX VALUE 9,985.64 0.16 0.05 0.12
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,584
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 541.73 0.92 0.24 1.22
Eccentricity 7 10 8.30 8.00 3,437 MAX VALUE 874.61 0.73 0.09 1.10
MCB cycle size 3 10 6.56 7.00 2,461 MAX VALUE 698.73 1.19 0.18 1.56
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: 9.37%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.82 0.78 338.92 0.00 -89.26 0.14 0.18 3.75
Degree 2 142 38.70 8.00 16,022 MAX VALUE 1,094.86 48.65 1.26 3.52
Eccentricity 3 6 4.22 4.00 1,746 MAX VALUE 591.16 0.63 0.15 0.95
Incidence graph
Density: 0.81%
MCB compute time (ms): 606
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 407.72 5.38 1.47 0.51
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00