Instance: rand-2-40-11-414-200-69_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:46
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 8.78 9.00 80,000 MAX VALUE 19,678.10 1.33 0.15 1.68
Relational linkage 0.36 0.73 0.56 0.55 246.82 0.00 -258.50 0.08 0.13 1.23
Tightness 0.10 0.29 0.20 0.20 83.42 0.00 -670.15 0.04 0.18 2.86
Tuples 86 109 96.62 97.00 40,000 MAX VALUE 1,891.87 4.37 0.05 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 28 20.70 21.00 828 MAX VALUE 120.72 3.25 0.16 2.45
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: 11
Number of leaves: 4
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 72 243 170.00 155.00 1,870 1.32e+24 55.54 64.96 0.38 2.40
Cluster variables 16 30 24.64 24.00 271 1.53e+15 34.96 5.38 0.22 1.67
Separator constraints 0 229 132.36 125.00 1,456 0 None 73.87 0.56 2.27
Separator variables 0 29 21.00 22.00 231 0 None 8.38 0.40 1.89
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 2,878 824.61 579.00 31,335 MAX VALUE 246.44 630.73 0.76 3.60
Cluster variables 30 241 75.66 53.00 2,875 MAX VALUE 157.35 52.57 0.69 3.40
Separator constraints 0 1,437 604.42 495.00 22,968 0 None 360.80 0.60 3.60
Separator variables 0 171 64.76 49.00 2,461 0 None 39.60 0.61 3.40
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 0.42 0.62 0.53 0.54 21.38 0.00 -25.16 0.04 0.07 3.65
Degree 15 28 20.70 21.00 828 MAX VALUE 120.72 3.25 0.16 2.45
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 85.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.92 0.92 36.82 0.04 -3.35 0.04 0.04 3.19
Degree 15 39 33.30 36.00 1,332 MAX VALUE 139.27 6.19 0.19 2.30
Eccentricity 1 2 1.95 2.00 78 2.75e+11 26.34 0.22 0.11 0.20
Dual graph
Density: 9.79%
MCB compute time (ms): 19,478
MCB cycles: 8,463
Triangles: 56,580
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 0.50 210.00 0.00 -281.08 0.01 0.02 5.13
Degree 29 53 40.42 40.00 16,734 MAX VALUE 1,528.74 4.67 0.12 2.93
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 4 3.01 3.00 25,483 MAX VALUE 9,324.60 0.10 0.03 0.06
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,277
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 543.01 0.88 0.23 1.19
Eccentricity 7 10 8.05 8.00 3,334 MAX VALUE 862.37 0.63 0.08 0.95
MCB cycle size 3 10 6.61 7.00 2,480 MAX VALUE 701.79 1.20 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: 10.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.83 0.79 342.31 0.00 -84.45 0.14 0.17 3.82
Degree 2 139 41.83 8.00 17,318 MAX VALUE 1,117.74 52.13 1.25 3.46
Eccentricity 3 5 4.00 4.00 1,658 MAX VALUE 569.85 0.59 0.15 0.88
Incidence graph
Density: 0.81%
MCB compute time (ms): 395
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 28 3.65 2.00 1,656 MAX VALUE 407.68 5.39 1.48 0.51
Eccentricity 5 6 5.91 6.00 2,682 MAX VALUE 805.80 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