Instance: rand-2-40-11-414-200-55_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:31
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 2 11 8.78 9.00 80,010 MAX VALUE 19,677.90 1.33 0.15 1.68
Relational linkage 0.18 0.73 0.56 0.55 244.27 0.00 -264.27 0.08 0.15 1.28
Tightness 0.08 0.33 0.20 0.21 83.38 0.00 -670.39 0.04 0.18 2.84
Tuples 81 111 96.63 96.00 40,005 MAX VALUE 1,891.92 4.37 0.05 2.84
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 21.50 828 MAX VALUE 120.71 3.20 0.15 2.39
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: 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 75 243 153.46 165.00 1,688 4.29e+23 54.42 60.19 0.39 2.40
Cluster variables 16 30 23.18 25.00 255 7.78e+14 34.29 5.15 0.22 2.02
Separator constraints 0 211 115.82 108.00 1,274 0 None 64.16 0.55 2.40
Separator variables 0 28 19.55 20.00 215 0 None 7.75 0.40 2.02
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 231 2,886 835.68 566.00 31,756 MAX VALUE 246.63 656.48 0.79 3.60
Cluster variables 30 241 76.50 51.50 2,907 MAX VALUE 157.55 54.27 0.71 3.48
Separator constraints 0 1,588 615.68 485.50 23,396 0 None 378.19 0.61 3.64
Separator variables 0 182 65.61 48.00 2,493 0 None 41.16 0.63 3.48
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 0.45 0.58 0.53 0.53 21.24 0.00 -25.38 0.03 0.05 3.41
Degree 15 27 20.70 21.50 828 MAX VALUE 120.71 3.20 0.15 2.39
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.48 0.02 -3.74 0.05 0.06 3.09
Degree 15 39 32.50 35.00 1,300 MAX VALUE 138.09 6.72 0.21 2.47
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.78%
MCB compute time (ms): 7,917
MCB cycles: 9,216
Triangles: 56,308
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 0.50 210.10 0.00 -280.88 0.01 0.02 5.07
Degree 29 51 40.39 41.00 16,720 MAX VALUE 1,528.83 4.24 0.11 2.84
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.02 3.00 27,819 MAX VALUE 10,174.00 0.13 0.04 0.09
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,664
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 543.07 0.87 0.23 1.18
Eccentricity 7 10 8.34 8.00 3,451 MAX VALUE 876.53 0.68 0.08 1.03
MCB cycle size 3 10 6.69 7.00 2,509 MAX VALUE 706.37 1.18 0.18 1.55
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: 10.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 344.79 0.00 -81.35 0.14 0.16 3.82
Degree 2 138 42.16 9.00 17,454 MAX VALUE 1,116.37 52.90 1.25 3.35
Eccentricity 3 5 3.75 4.00 1,552 MAX VALUE 542.91 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 723
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 407.67 5.38 1.48 0.51
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 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