Instance: rand-2-40-180-84-900-69_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:23
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: 29,880
Number of unique subscopes: 38
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 4 35 17.99 18.00 537,605 MAX VALUE 85,582.90 3.98 0.22 2.80
Relational linkage 0.02 0.14 0.08 0.08 531.56 0.00 -17,615.60 0.02 0.20 2.43
Tightness 0.90 0.90 0.90 0.90 75.60 0.00 -8.85 0.00 0.00 4.20
Tuples 3,138 3,349 3,238.51 3,241.00 272,035 MAX VALUE 678.95 44.90 0.01 4.20
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 9 4.37 4.00 166 1.26e+23 53.19 1.66 0.38 1.83
Partitions per subscope 180 180 180.00 180.00 6,840 MAX VALUE 197.33 0.00 0.00 0.00
Tree decomposition
Number of clusters: 30
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 1 7 3.70 3.00 111 2.86e+15 35.59 1.64 0.44 1.79
Cluster variables 2 10 5.53 5.00 166 9.03e+20 48.25 2.47 0.45 1.90
Separator constraints 0 3 0.90 1.00 27 0 None 1.04 1.16 1.22
Separator variables 0 9 4.20 4.00 126 0 None 2.40 0.57 2.06
Dual tree decomposition
Number of clusters: 38
Number of leaves: 14
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 6 58 19.32 16.50 734 MAX VALUE 105.52 12.60 0.65 2.90
Cluster variables 5 29 10.82 9.00 411 1.40e+37 85.53 6.03 0.56 2.52
Separator constraints 0 38 10.58 10.00 402 0 None 7.72 0.73 2.74
Separator variables 0 20 8.61 7.50 327 0 None 4.68 0.54 2.44
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 1.00 None 0.00 None None None None None 1.74
Degree 1 9 4.20 4.00 168 1.26e+23 53.19 1.78 0.42 1.94
Eccentricity 3 5 4.20 4.00 168 6.33e+24 57.11 0.51 0.12 0.75
Triangulated primal graph
Density: 23.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 1.00 None 0.71 None None None None None 3.07
Degree 1 23 9.00 7.00 360 1.34e+32 73.98 6.72 0.75 2.67
Eccentricity 2 4 3.35 3.00 134 6.07e+20 47.85 0.53 0.16 0.77
Dual graph
Density: 9.52%
MCB compute time (ms): 42
MCB cycles: 258
Triangles: 425
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 1.00 0.51 0.48 42.92 0.00 -58.21 0.12 0.23 3.13
Degree 4 13 7.90 8.00 664 MAX VALUE 169.92 2.30 0.29 2.19
Eccentricity 3 5 4.05 4.00 340 MAX VALUE 117.15 0.34 0.08 0.44
MCB cycle size 3 6 3.29 3.00 848 MAX VALUE 302.57 0.69 0.21 0.60
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 1.00 0.00 None 0.06 5.20 0.15
Degree 2 4 3.05 3.00 256 MAX VALUE 91.79 0.62 0.20 0.93
Eccentricity 6 8 6.92 7.00 581 MAX VALUE 162.13 0.60 0.09 0.90
MCB cycle size 3 10 6.91 7.00 311 1.67e+37 85.71 1.53 0.22 1.80
Triangulated dual graph
Density: 30.09%
Triangles: 8,109
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.59 1.00 0.79 0.76 66.26 0.00 -21.02 0.13 0.16 3.76
Degree 4 47 24.98 24.00 2,098 MAX VALUE 247.31 15.52 0.62 3.27
Eccentricity 2 4 2.83 3.00 238 2.56e+37 86.14 0.48 0.17 0.70
Triangulated minimal dual graph
Density: 11.96%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.74 0.67 62.39 0.00 -28.04 0.20 0.27 2.76
Degree 2 29 9.93 5.00 834 MAX VALUE 156.35 9.25 0.93 2.57
Eccentricity 3 5 3.86 4.00 324 MAX VALUE 112.35 0.60 0.16 0.90
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 None 0.00 None None None None None 0.61
Degree 1 9 2.71 2.00 336 MAX VALUE 111.42 1.44 0.53 1.10
Eccentricity 7 11 8.73 9.00 1,082 MAX VALUE 268.12 0.79 0.09 1.17
MCB cycle size 6 12 8.44 8.00 380 MAX VALUE 95.12 1.63 0.19 1.15