Instance: rand-2-40-16-250-350-39_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:52
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 10.45 11.00 83,568 MAX VALUE 18,625.70 1.91 0.18 2.06
Relational linkage 0.19 0.62 0.45 0.44 290.38 0.00 -515.68 0.08 0.17 1.61
Tightness 0.27 0.44 0.35 0.35 86.78 0.00 -265.47 0.03 0.09 3.38
Tuples 144 186 167.14 167.00 41,784 MAX VALUE 1,279.43 7.74 0.05 3.38
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 20 12.50 12.00 500 MAX VALUE 99.77 3.14 0.25 2.48
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: 9
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 13 107 44.69 30.50 715 7.98e+24 57.34 30.68 0.69 2.60
Cluster variables 8 25 14.81 12.50 237 1.79e+18 42.03 5.65 0.38 2.31
Separator constraints 0 91 29.06 18.00 465 0 None 27.15 0.93 2.69
Separator variables 0 23 12.31 11.00 197 0 None 5.92 0.48 2.31
Dual tree decomposition
Number of clusters: 38
Number of leaves: 16
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 59 939 278.32 202.50 10,576 MAX VALUE 204.05 218.47 0.78 3.60
Cluster variables 15 136 43.55 31.50 1,655 MAX VALUE 136.12 30.51 0.70 3.42
Separator constraints 0 538 197.47 161.00 7,504 0 None 131.10 0.66 3.60
Separator variables 0 104 36.97 29.00 1,405 0 None 23.29 0.63 3.33
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 0.17 0.47 0.30 0.31 12.06 0.00 -49.05 0.07 0.23 3.45
Degree 7 20 12.50 12.00 500 MAX VALUE 99.77 3.14 0.25 2.48
Eccentricity 2 3 2.23 2.00 89 4.23e+13 31.38 0.42 0.19 0.53
Triangulated primal graph
Density: 63.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.84 34.57 0.00 -6.05 0.09 0.11 3.16
Degree 7 35 24.85 30.00 994 MAX VALUE 124.28 9.39 0.38 2.73
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.87%
MCB compute time (ms): 3,955
MCB cycles: 3,104
Triangles: 12,734
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 0.61 0.51 0.50 127.23 0.00 -169.12 0.02 0.05 4.88
Degree 14 37 24.58 25.00 6,144 MAX VALUE 796.29 4.44 0.18 2.86
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.08 3.00 9,560 MAX VALUE 3,481.44 0.27 0.09 0.28
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 283
MCB cycles: 211
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 3.68 4.00 920 MAX VALUE 319.44 0.83 0.22 1.18
Eccentricity 6 9 7.20 7.00 1,799 MAX VALUE 492.62 0.56 0.08 0.84
MCB cycle size 4 10 6.73 7.00 1,420 MAX VALUE 398.79 1.18 0.18 1.57
Triangulated dual graph
Density: 55.64%
Triangles: 766,529
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.77 1.00 0.86 0.84 214.11 0.00 -39.52 0.07 0.08 5.00
Degree 14 196 138.54 164.00 34,636 MAX VALUE 1,191.49 59.07 0.43 3.88
Eccentricity 2 3 2.18 2.00 544 MAX VALUE 191.13 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 11.05%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.76 203.41 0.00 -55.43 0.14 0.18 3.49
Degree 2 86 27.52 7.00 6,880 MAX VALUE 620.12 32.17 1.17 3.23
Eccentricity 3 5 3.72 4.00 931 MAX VALUE 326.21 0.51 0.14 0.75
Incidence graph
Density: 1.19%
MCB compute time (ms): 210
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 20 3.45 2.00 1,000 MAX VALUE 273.06 3.80 1.10 0.74
Eccentricity 5 7 5.90 6.00 1,711 MAX VALUE 514.27 0.32 0.05 0.38
MCB cycle size 6 8 6.11 6.00 1,290 MAX VALUE 381.51 0.46 0.08 0.22