Instance: rand-2-40-16-250-350-10_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:57:06
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 250
General features
Number of coarse blocks: 8,000
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 500 MAX VALUE 173.29 0.00 0.00 0.00
Coarse blocks size 3 16 10.39 10.00 83,118 MAX VALUE 18,579.90 1.92 0.18 2.07
Relational linkage 0.19 0.69 0.45 0.44 289.56 0.00 -516.75 0.07 0.16 1.59
Tightness 0.28 0.47 0.35 0.35 87.66 0.00 -262.94 0.03 0.09 3.35
Tuples 135 185 166.24 166.50 41,559 MAX VALUE 1,278.07 7.86 0.05 3.35
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 5 21 12.50 12.50 500 MAX VALUE 99.69 3.07 0.25 2.31
Partitions per subscope 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 7
Tree depth: 4
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 8 112 48.25 34.00 772 1.33e+25 57.85 32.01 0.66 2.69
Cluster variables 6 25 14.88 13.00 238 1.55e+18 41.88 5.78 0.39 2.31
Separator constraints 0 87 32.62 20.00 522 0 None 28.12 0.86 2.60
Separator variables 0 22 12.38 11.00 198 0 None 6.06 0.49 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 17
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 48 920 274.26 217.00 10,422 MAX VALUE 204.00 208.63 0.76 3.60
Cluster variables 13 135 43.11 31.50 1,638 MAX VALUE 135.95 29.66 0.69 3.32
Separator constraints 0 502 193.63 160.00 7,358 0 None 124.37 0.64 3.60
Separator variables 0 100 36.53 29.50 1,388 0 None 22.56 0.62 3.30
Primal graph
Density: 32.05%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.20 0.46 0.33 0.35 13.33 0.00 -44.75 0.06 0.19 3.48
Degree 5 21 12.50 12.50 500 MAX VALUE 99.69 3.07 0.25 2.31
Eccentricity 2 3 2.40 2.00 96 7.22e+14 34.21 0.49 0.20 0.67
Triangulated primal graph
Density: 63.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.86 0.86 34.58 0.00 -6.03 0.09 0.10 3.31
Degree 5 35 24.90 29.50 996 MAX VALUE 124.20 9.32 0.37 2.78
Eccentricity 2 3 2.15 2.00 86 1.25e+13 30.16 0.36 0.17 0.42
Dual graph
Density: 9.84%
MCB compute time (ms): 2,860
MCB cycles: 3,196
Triangles: 12,604
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 0.67 0.51 0.50 127.36 0.00 -168.90 0.03 0.05 4.59
Degree 12 36 24.51 25.00 6,128 MAX VALUE 796.05 4.13 0.17 2.81
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.07 3.00 9,801 MAX VALUE 3,572.44 0.25 0.08 0.24
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 356
MCB cycles: 212
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.60 0.00 None 0.02 10.12 0.08
Degree 2 6 3.68 4.00 920 MAX VALUE 319.58 0.82 0.22 1.15
Eccentricity 6 9 7.17 7.00 1,793 MAX VALUE 491.65 0.61 0.08 0.92
MCB cycle size 3 9 6.74 7.00 1,428 MAX VALUE 400.97 1.14 0.17 1.52
Triangulated dual graph
Density: 54.22%
Triangles: 727,487
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.82 213.23 0.00 -40.62 0.07 0.08 4.83
Degree 12 195 135.01 169.00 33,752 MAX VALUE 1,184.19 58.82 0.44 3.99
Eccentricity 2 3 2.23 2.00 558 MAX VALUE 196.80 0.42 0.19 0.54
Triangulated minimal dual graph
Density: 11.35%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.82 0.78 203.91 0.00 -54.76 0.14 0.17 3.49
Degree 2 87 28.26 7.00 7,064 MAX VALUE 625.18 32.93 1.17 3.14
Eccentricity 3 5 3.74 4.00 934 MAX VALUE 327.07 0.51 0.14 0.74
Incidence graph
Density: 1.19%
MCB compute time (ms): 226
MCB cycles: 211
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 21 3.45 2.00 1,000 MAX VALUE 272.98 3.80 1.10 0.72
Eccentricity 5 7 5.96 6.00 1,728 MAX VALUE 517.08 0.35 0.06 0.45
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07