Instance: rand-2-40-180-84-900-97_ext
Number of variables: 40
Number of constraints: 84
Satisfiable: None
Timestamp: 2017-10-27 10:58:12
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 5 40 17.99 18.00 537,653 MAX VALUE 85,563.90 4.04 0.22 2.81
Relational linkage 0.03 0.14 0.08 0.08 532.66 0.00 -17,611.40 0.02 0.21 2.47
Tightness 0.90 0.90 0.90 0.90 75.61 0.00 -8.84 0.00 0.00 4.23
Tuples 3,086 3,390 3,237.92 3,237.00 271,985 MAX VALUE 678.93 57.93 0.02 4.23
Domain size 180 180 180.00 180.00 7,200 MAX VALUE 207.72 0.00 0.00 0.00
Constraints per subscope 2 10 4.37 4.00 166 5.22e+22 52.31 1.98 0.45 1.89
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: 31
Number of leaves: 16
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 1 9 4.35 3.00 135 4.23e+17 40.59 2.40 0.55 1.93
Cluster variables 2 10 5.19 5.00 161 5.33e+20 47.73 2.47 0.48 1.98
Separator constraints 0 7 1.65 1.00 51 0 None 2.27 1.38 1.60
Separator variables 0 9 3.90 3.00 121 0 None 2.41 0.62 2.05
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 4 62 20.24 15.50 769 MAX VALUE 104.62 14.83 0.73 3.11
Cluster variables 4 25 10.66 8.50 405 6.77e+36 84.81 5.90 0.55 2.65
Separator constraints 0 37 10.92 8.00 415 0 None 8.78 0.80 2.81
Separator variables 0 19 8.45 7.00 321 0 None 4.56 0.54 2.58
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 0.08 None None None None None 2.20
Degree 1 10 4.20 4.00 168 5.22e+22 52.31 2.06 0.49 2.00
Eccentricity 3 5 4.20 4.00 168 6.33e+24 57.11 0.51 0.12 0.75
Triangulated primal graph
Density: 21.28%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.36 1.00 None 0.77 None None None None None 2.84
Degree 1 24 8.30 6.00 332 2.08e+30 69.81 6.53 0.79 2.53
Eccentricity 2 4 3.30 3.00 132 3.41e+20 47.28 0.51 0.15 0.74
Dual graph
Density: 10.15%
MCB compute time (ms): 35
MCB cycles: 272
Triangles: 533
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.53 0.50 44.70 0.00 -55.04 0.13 0.24 3.29
Degree 3 17 8.43 8.00 708 MAX VALUE 173.84 2.92 0.35 2.40
Eccentricity 3 5 3.94 4.00 331 MAX VALUE 114.69 0.42 0.11 0.58
MCB cycle size 3 6 3.18 3.00 866 MAX VALUE 312.00 0.54 0.17 0.46
Minimal dual graph
Density: 3.67%
MCB compute time (ms): 9
MCB cycles: 45
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 1.00 0.02 0.00 1.50 0.00 None 0.12 6.44 0.19
Degree 2 4 3.05 3.00 256 MAX VALUE 91.79 0.62 0.20 0.93
Eccentricity 6 8 6.65 7.00 559 MAX VALUE 158.90 0.57 0.09 0.84
MCB cycle size 3 9 7.29 8.00 328 3.21e+38 88.66 1.17 0.16 1.43
Triangulated dual graph
Density: 29.46%
Triangles: 7,565
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.79 0.77 66.01 0.00 -21.45 0.13 0.17 3.67
Degree 3 51 24.45 23.00 2,054 MAX VALUE 246.04 14.92 0.61 3.50
Eccentricity 2 4 2.96 3.00 249 MAX VALUE 90.01 0.50 0.17 0.73
Triangulated minimal dual graph
Density: 12.28%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.74 0.67 62.38 0.00 -27.91 0.20 0.26 2.76
Degree 2 31 10.19 5.00 856 MAX VALUE 158.39 9.46 0.93 2.65
Eccentricity 3 5 3.83 4.00 322 MAX VALUE 111.97 0.55 0.14 0.82
Incidence graph
Density: 2.20%
MCB compute time (ms): 14
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 0.44
Degree 1 10 2.71 2.00 336 MAX VALUE 110.53 1.56 0.58 1.07
Eccentricity 7 11 8.62 9.00 1,069 MAX VALUE 266.50 0.86 0.10 1.25
MCB cycle size 6 12 8.13 8.00 366 MAX VALUE 93.30 1.71 0.21 1.18