Instance: rand-2-40-180-84-900-51_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:16
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 84
General features
Number of coarse blocks: 30,240
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 168 1.93e+25 58.22 0.00 0.00 0.00
Coarse blocks size 3 35 17.99 18.00 543,994 MAX VALUE 86,593.60 4.02 0.22 2.81
Relational linkage 0.02 0.14 0.08 0.08 560.08 0.00 -18,538.80 0.02 0.20 2.44
Tightness 0.90 0.90 0.90 0.90 75.61 0.00 -8.84 0.00 0.00 4.21
Tuples 3,094 3,379 3,238.06 3,240.50 271,997 MAX VALUE 678.93 59.74 0.02 4.21
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 7 4.20 4.00 168 6.07e+23 54.76 1.42 0.34 1.68
Partitions per subscope 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 15
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 2 9 4.24 4.00 123 5.78e+16 38.60 2.01 0.47 1.89
Cluster variables 3 12 5.86 5.00 170 8.45e+20 48.19 2.83 0.48 2.09
Separator constraints 0 6 1.34 0.00 39 0 None 1.84 1.37 1.41
Separator variables 0 11 4.48 4.00 130 0 None 2.71 0.60 2.13
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
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 4 44 17.50 16.00 665 MAX VALUE 102.35 10.07 0.58 2.77
Cluster variables 4 27 10.71 9.00 407 1.42e+37 85.55 5.63 0.53 2.50
Separator constraints 0 30 9.37 7.00 356 0 None 6.68 0.71 2.57
Separator variables 0 19 8.50 7.50 323 0 None 4.36 0.51 2.54
Primal graph
Density: 10.77%
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 0.33 0.09 0.06 3.68 0.00 None 0.11 1.21 1.83
Degree 2 7 4.20 4.00 168 6.07e+23 54.76 1.42 0.34 1.68
Eccentricity 3 5 4.17 4.00 167 5.40e+24 56.95 0.44 0.11 0.61
Triangulated primal graph
Density: 25.13%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.78 0.74 31.20 0.00 -11.12 0.19 0.24 2.67
Degree 2 22 9.80 6.50 392 7.54e+33 78.01 7.16 0.73 2.69
Eccentricity 2 3 2.70 3.00 108 9.37e+16 39.08 0.46 0.17 0.61
Dual graph
Density: 8.86%
MCB compute time (ms): 35
MCB cycles: 234
Triangles: 336
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.33 0.71 0.48 0.47 40.66 0.00 -61.71 0.07 0.14 2.61
Degree 3 11 7.36 8.00 618 MAX VALUE 164.83 1.79 0.24 1.96
Eccentricity 4 5 4.29 4.00 360 MAX VALUE 121.80 0.45 0.11 0.60
MCB cycle size 3 6 3.31 3.00 774 MAX VALUE 275.69 0.71 0.21 0.64
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 13
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.05 5.41 0.18
Degree 2 4 3.05 3.00 256 MAX VALUE 91.79 0.62 0.20 0.93
Eccentricity 6 8 6.95 7.00 584 MAX VALUE 162.59 0.58 0.08 0.86
MCB cycle size 3 9 6.89 7.00 310 1.98e+37 85.88 1.32 0.19 1.64
Triangulated dual graph
Density: 28.86%
Triangles: 7,308
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.57 1.00 0.78 0.75 65.75 0.00 -21.77 0.13 0.17 3.85
Degree 3 46 23.95 20.50 2,012 MAX VALUE 244.55 14.86 0.62 3.22
Eccentricity 2 4 2.83 3.00 238 2.88e+37 86.25 0.46 0.16 0.65
Triangulated minimal dual graph
Density: 12.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.74 0.67 62.01 0.00 -28.29 0.19 0.26 2.75
Degree 2 29 10.00 5.00 840 MAX VALUE 157.93 9.24 0.92 2.65
Eccentricity 3 5 3.86 4.00 324 MAX VALUE 112.48 0.56 0.15 0.84
Incidence graph
Density: 2.20%
MCB compute time (ms): 23
MCB cycles: 45
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 7 2.71 2.00 336 MAX VALUE 112.99 1.31 0.48 0.97
Eccentricity 7 11 9.06 9.00 1,124 MAX VALUE 272.89 0.77 0.08 1.15
MCB cycle size 6 12 8.49 8.00 382 MAX VALUE 95.20 1.80 0.21 1.26