Instance: rand-2-40-8-753-100-58_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:23
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 7.22 7.00 86,938 MAX VALUE 23,719.40 0.84 0.12 1.15
Relational linkage 0.38 0.75 0.64 0.62 203.25 0.00 -148.21 0.08 0.13 1.00
Tightness 0.00 0.22 0.10 0.09 73.80 0.00 None 0.04 0.38 2.27
Tuples 50 64 57.73 58.00 43,469 MAX VALUE 3,053.32 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 145.11 1.26 0.03 1.44
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 578 684 626.33 617.00 1,879 243,932,000 19.31 43.77 0.07 1.10
Cluster variables 35 38 36.33 36.00 109 47,880 10.78 1.25 0.03 1.10
Separator constraints 0 582 375.33 544.00 1,126 0 None 265.85 0.71 1.10
Separator variables 0 35 23.00 34.00 69 0 None 16.27 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 11,577 3,032.97 1,520.00 115,253 MAX VALUE 295.29 2,563.54 0.85 2.98
Cluster variables 68 486 146.24 77.00 5,557 MAX VALUE 181.87 107.92 0.74 2.65
Separator constraints 0 6,494 2,305.89 1,444.00 87,624 0 None 1,486.21 0.64 2.98
Separator variables 0 362 126.42 76.00 4,804 0 None 82.17 0.65 2.65
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 0.98 0.97 0.97 38.64 0.25 -1.38 0.00 0.00 2.38
Degree 34 39 37.65 38.00 1,506 MAX VALUE 145.11 1.26 0.03 1.44
Eccentricity 1 2 1.75 2.00 70 1.07e+09 20.79 0.43 0.25 0.56
Triangulated primal graph
Density: 98.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.63 0.69 -0.37 0.00 0.00 0.77
Degree 34 39 38.60 39.00 1,544 MAX VALUE 146.12 1.02 0.03 0.69
Eccentricity 1 2 1.23 1.00 49 512 6.24 0.42 0.34 0.53
Dual graph
Density: 9.76%
MCB compute time (ms): 33,119
MCB cycles: 26,879
Triangles: 337,987
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 0.51 381.57 0.00 -511.86 0.00 0.00 2.26
Degree 67 76 73.38 74.00 55,258 MAX VALUE 3,234.46 1.69 0.02 1.87
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 80,637 MAX VALUE 29,529.60 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 9,686
MCB cycles: 714
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 16.43 0.03
Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,002.32 0.95 0.25 1.25
Eccentricity 8 14 11.44 11.00 8,612 MAX VALUE 1,831.29 1.12 0.10 1.52
MCB cycle size 3 13 6.10 6.00 4,355 MAX VALUE 1,274.10 1.30 0.21 1.62
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: 7.00%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.78 615.13 0.00 -164.79 0.15 0.18 4.05
Degree 2 219 52.63 9.00 39,630 MAX VALUE 2,092.53 72.94 1.39 3.77
Eccentricity 3 6 4.22 4.00 3,177 MAX VALUE 1,075.84 0.61 0.14 0.92
Incidence graph
Density: 0.48%
MCB compute time (ms): 975
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 3,215 MAX VALUE 1,108.28 0.28 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