Instance: rand-2-40-8-753-100-7_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:09
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 753
General features
Number of coarse blocks: 12,048
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 1,506 MAX VALUE 521.94 0.00 0.00 0.00
Coarse blocks size 3 8 7.18 7.00 86,524 MAX VALUE 23,656.10 0.86 0.12 1.17
Relational linkage 0.38 0.75 0.62 0.62 199.62 0.00 -154.67 0.09 0.15 1.09
Tightness 0.00 0.25 0.10 0.09 77.03 0.00 None 0.04 0.37 2.27
Tuples 48 64 57.45 58.00 43,262 MAX VALUE 3,049.72 2.39 0.04 2.27
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 34 39 37.65 38.00 1,506 MAX VALUE 145.12 1.11 0.03 1.35
Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Tree decomposition
Number of clusters: 3
Number of leaves: 2
Tree depth: 1
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 578 683 637.00 650.00 1,911 256,603,000 19.36 43.84 0.07 1.10
Cluster variables 35 38 36.67 37.00 110 49,210 10.80 1.25 0.03 1.10
Separator constraints 0 614 386.00 544.00 1,158 0 None 274.44 0.71 1.10
Separator variables 0 36 23.33 34.00 70 0 None 16.52 0.71 1.10
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 1,186 11,512 3,030.08 1,520.00 115,143 MAX VALUE 295.29 2,555.64 0.84 2.87
Cluster variables 68 485 146.18 77.00 5,555 MAX VALUE 181.87 107.80 0.74 2.68
Separator constraints 0 6,527 2,303.18 1,444.00 87,521 0 None 1,481.30 0.64 2.87
Separator variables 0 363 126.37 76.00 4,802 0 None 82.07 0.65 2.68
Primal graph
Density: 96.54%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.96 0.97 0.97 0.96 38.62 0.24 -1.41 0.00 0.00 2.21
Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.12 1.11 0.03 1.35
Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56
Triangulated primal graph
Density: 99.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.67 0.72 -0.33 0.00 0.00 0.71
Degree 34 39 38.65 39.00 1,546 MAX VALUE 146.17 0.94 0.02 0.65
Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50
Dual graph
Density: 9.76%
MCB compute time (ms): 23,660
MCB cycles: 26,870
Triangles: 337,729
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 0.51 0.51 0.51 381.52 0.00 -511.97 0.00 0.00 2.10
Degree 67 76 73.37 74.00 55,244 MAX VALUE 3,234.31 1.51 0.02 1.78
Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 80,610 MAX VALUE 29,519.70 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 8,891
MCB cycles: 717
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 3.89 4.00 2,932 MAX VALUE 1,002.53 0.95 0.24 1.25
Eccentricity 9 16 12.10 12.00 9,108 MAX VALUE 1,873.44 1.20 0.10 1.59
MCB cycle size 4 13 6.00 6.00 4,301 MAX VALUE 1,264.55 1.39 0.23 1.64
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: 6.78%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.78 615.88 0.00 -164.29 0.15 0.18 4.03
Degree 2 212 51.00 9.00 38,402 MAX VALUE 2,074.10 71.25 1.40 3.69
Eccentricity 3 6 4.42 4.00 3,327 MAX VALUE 1,111.56 0.60 0.14 0.90
Incidence graph
Density: 0.48%
MCB compute time (ms): 876
MCB cycles: 714
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 39 3.80 2.00 3,012 MAX VALUE 667.05 7.81 2.06 0.27
Eccentricity 3 5 4.05 4.00 3,214 MAX VALUE 1,108.06 0.27 0.07 0.31
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00