Instance: rand-2-40-11-414-200-48_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:44
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 3 11 8.79 9.00 80,084 MAX VALUE 19,687.00 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 243.54 0.00 -265.31 0.08 0.15 1.29
Tightness 0.09 0.31 0.20 0.20 83.07 0.00 -671.63 0.04 0.18 2.84
Tuples 84 110 96.72 97.00 40,042 MAX VALUE 1,892.33 4.27 0.04 2.84
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 13 31 20.70 20.00 828 MAX VALUE 120.41 4.08 0.20 2.57
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: 6
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 57 253 129.18 103.00 1,421 3.50e+22 51.91 68.21 0.53 2.40
Cluster variables 14 30 20.55 19.00 226 1.83e+14 32.84 5.63 0.27 2.27
Separator constraints 0 208 91.55 67.00 1,007 0 None 61.27 0.67 2.40
Separator variables 0 27 16.91 16.00 186 0 None 7.17 0.42 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 199 3,008 846.53 589.50 32,168 MAX VALUE 246.47 681.04 0.80 3.64
Cluster variables 28 236 76.29 52.50 2,899 MAX VALUE 157.28 54.37 0.71 3.49
Separator constraints 0 1,630 623.16 513.50 23,680 0 None 396.98 0.64 3.64
Separator variables 0 183 65.39 48.00 2,485 0 None 41.28 0.63 3.49
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 0.64 0.54 0.55 21.72 0.00 -24.52 0.04 0.07 3.55
Degree 13 31 20.70 20.00 828 MAX VALUE 120.41 4.08 0.20 2.57
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 79.62%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.90 0.89 36.11 0.02 -4.17 0.06 0.06 3.21
Degree 13 38 31.05 35.00 1,242 MAX VALUE 135.74 7.57 0.24 2.40
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.93%
MCB compute time (ms): 10,962
MCB cycles: 9,090
Triangles: 58,995
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 0.58 0.51 0.51 211.93 0.00 -277.38 0.01 0.03 5.25
Degree 27 58 41.00 41.00 16,976 MAX VALUE 1,533.73 5.49 0.13 3.08
Eccentricity 2 3 2.96 3.00 1,227 MAX VALUE 448.74 0.19 0.06 0.16
MCB cycle size 3 4 3.02 3.00 27,438 MAX VALUE 10,034.70 0.13 0.04 0.09
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,408
MCB cycles: 376
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 6 3.81 4.00 1,576 MAX VALUE 542.41 0.90 0.24 1.22
Eccentricity 6 10 8.15 8.00 3,373 MAX VALUE 866.89 0.70 0.09 1.06
MCB cycle size 4 9 6.51 7.00 2,446 MAX VALUE 697.68 1.16 0.18 1.54
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: 9.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.82 0.77 338.65 0.00 -89.20 0.14 0.17 3.78
Degree 2 140 38.56 8.00 15,962 MAX VALUE 1,098.42 48.38 1.25 3.51
Eccentricity 3 5 3.79 4.00 1,570 MAX VALUE 547.51 0.54 0.14 0.80
Incidence graph
Density: 0.81%
MCB compute time (ms): 620
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 31 3.65 2.00 1,656 MAX VALUE 407.37 5.44 1.49 0.52
Eccentricity 5 6 5.88 6.00 2,669 MAX VALUE 803.43 0.33 0.06 0.37
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00