Instance: rand-2-40-80-103-800-34_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:58:03
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,480
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 4 31 15.96 16.00 262,982 MAX VALUE 45,212.20 3.57 0.22 2.69
Relational linkage 0.05 0.25 0.15 0.15 480.85 0.00 -6,132.16 0.03 0.20 2.29
Tightness 0.79 0.81 0.80 0.80 82.45 0.00 -22.92 0.00 0.01 4.20
Tuples 1,215 1,351 1,276.61 1,278.00 131,491 MAX VALUE 736.62 31.06 0.02 4.20
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 10 5.15 5.00 206 1.61e+27 62.64 1.94 0.38 1.95
Partitions per subscope 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 15
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 2 16 6.24 5.00 181 7.04e+20 48.00 3.96 0.63 2.14
Cluster variables 3 12 6.52 5.00 189 3.09e+22 51.78 2.81 0.43 2.09
Separator constraints 0 13 2.69 1.00 78 0 None 3.68 1.37 1.86
Separator variables 0 11 5.14 4.00 149 0 None 2.79 0.54 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 7
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 7 87 29.66 24.50 1,127 MAX VALUE 120.82 19.97 0.67 3.19
Cluster variables 5 33 13.37 11.00 508 MAX VALUE 93.87 7.12 0.53 2.69
Separator constraints 0 59 16.42 12.00 624 0 None 12.16 0.74 3.05
Separator variables 0 25 10.66 9.00 405 0 None 5.45 0.51 2.60
Primal graph
Density: 13.21%
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 1.00 0.16 0.13 6.53 0.00 None 0.19 1.16 2.38
Degree 2 10 5.15 5.00 206 1.61e+27 62.64 1.94 0.38 1.95
Eccentricity 3 5 4.17 4.00 167 5.07e+24 56.88 0.49 0.12 0.72
Triangulated primal graph
Density: 27.56%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.78 0.73 31.28 0.00 -11.05 0.19 0.24 2.64
Degree 2 27 10.75 10.00 430 1.97e+36 83.57 7.30 0.68 2.63
Eccentricity 2 4 3.17 3.00 127 6.40e+19 45.60 0.54 0.17 0.81
Dual graph
Density: 9.58%
MCB compute time (ms): 67
MCB cycles: 465
Triangles: 820
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.70 0.51 0.50 52.19 0.00 -70.72 0.06 0.12 3.41
Degree 4 18 9.77 9.00 1,006 MAX VALUE 230.09 2.93 0.30 2.37
Eccentricity 3 5 4.16 4.00 428 MAX VALUE 146.04 0.48 0.11 0.69
MCB cycle size 3 6 3.30 3.00 1,533 MAX VALUE 548.21 0.61 0.18 0.68
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 25
MCB cycles: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 1.00 0.00 None 0.06 5.77 0.13
Degree 2 5 3.22 3.00 332 MAX VALUE 118.64 0.62 0.19 0.92
Eccentricity 5 8 6.83 7.00 704 MAX VALUE 197.49 0.66 0.10 0.99
MCB cycle size 3 9 6.64 7.00 425 MAX VALUE 120.06 1.16 0.18 1.54
Triangulated dual graph
Density: 30.17%
Triangles: 14,774
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.79 0.78 81.05 0.00 -26.04 0.13 0.16 4.05
Degree 4 63 30.78 27.00 3,170 MAX VALUE 328.55 18.22 0.59 3.72
Eccentricity 2 4 3.22 3.00 332 MAX VALUE 119.54 0.46 0.14 0.64
Triangulated minimal dual graph
Density: 12.41%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 0.76 0.69 78.71 0.00 -30.83 0.19 0.24 3.00
Degree 2 39 12.66 6.00 1,304 MAX VALUE 211.61 12.10 0.96 2.86
Eccentricity 3 5 3.73 4.00 384 MAX VALUE 134.47 0.52 0.14 0.77
Incidence graph
Density: 2.03%
MCB compute time (ms): 37
MCB cycles: 64
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 10 2.88 2.00 412 MAX VALUE 134.04 1.75 0.61 1.07
Eccentricity 7 11 8.86 9.00 1,267 MAX VALUE 311.25 0.88 0.10 1.29
MCB cycle size 6 12 7.38 8.00 472 MAX VALUE 126.97 1.27 0.17 0.91