Instance: rand-2-40-16-250-350-80_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:50
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 83,136 MAX VALUE 18,581.60 1.92 0.18 2.07
Relational linkage 0.19 0.69 0.45 0.44 288.44 0.00 -519.32 0.07 0.16 1.57
Tightness 0.28 0.46 0.35 0.35 87.62 0.00 -263.01 0.03 0.09 3.33
Tuples 137 184 166.27 166.00 41,568 MAX VALUE 1,278.14 7.64 0.05 3.33
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 17 12.50 12.00 500 MAX VALUE 99.98 2.77 0.22 2.23
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 15 111 47.50 31.00 760 1.43e+25 57.93 32.82 0.69 2.60
Cluster variables 8 25 14.62 12.00 234 1.22e+18 41.65 5.95 0.41 2.19
Separator constraints 0 99 31.88 16.50 510 0 None 29.03 0.91 2.77
Separator variables 0 24 12.12 9.50 194 0 None 6.16 0.51 2.27
Dual tree decomposition
Number of clusters: 38
Number of leaves: 18
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 75 901 271.32 214.00 10,310 MAX VALUE 204.82 195.81 0.72 3.53
Cluster variables 17 133 43.11 32.50 1,638 MAX VALUE 136.35 28.85 0.67 3.12
Separator constraints 0 486 191.63 169.50 7,282 0 None 114.64 0.60 3.46
Separator variables 0 97 36.53 30.00 1,388 0 None 21.79 0.60 3.03
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 0.22 0.57 0.33 0.32 13.18 0.00 -45.16 0.07 0.21 3.42
Degree 7 17 12.50 12.00 500 MAX VALUE 99.98 2.77 0.22 2.23
Eccentricity 2 3 2.12 2.00 85 8.35e+12 29.75 0.33 0.16 0.38
Triangulated primal graph
Density: 63.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.87 0.86 34.66 0.00 -5.94 0.09 0.10 3.08
Degree 7 35 24.70 30.00 988 MAX VALUE 123.77 9.46 0.38 2.63
Eccentricity 2 3 2.10 2.00 84 5.57e+12 29.35 0.30 0.14 0.33
Dual graph
Density: 9.73%
MCB compute time (ms): 2,052
MCB cycles: 3,088
Triangles: 12,131
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 0.60 0.51 0.50 126.98 0.00 -169.59 0.02 0.04 4.53
Degree 16 32 24.22 24.00 6,056 MAX VALUE 794.22 3.48 0.14 2.60
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.06 3.00 9,444 MAX VALUE 3,444.30 0.23 0.08 0.22
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 320
MCB cycles: 211
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.17 0.00 0.00 0.30 0.00 None 0.01 10.04 0.07
Degree 2 6 3.68 4.00 920 MAX VALUE 319.08 0.85 0.23 1.22
Eccentricity 6 8 7.07 7.00 1,768 MAX VALUE 488.37 0.52 0.07 0.76
MCB cycle size 3 9 6.76 7.00 1,426 MAX VALUE 400.30 1.07 0.16 1.47
Triangulated dual graph
Density: 53.41%
Triangles: 698,961
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.74 1.00 0.85 0.82 212.16 0.00 -42.01 0.08 0.09 4.77
Degree 16 191 132.99 166.50 33,248 MAX VALUE 1,181.58 57.84 0.43 3.77
Eccentricity 2 3 2.18 2.00 544 MAX VALUE 191.13 0.38 0.18 0.47
Triangulated minimal dual graph
Density: 10.80%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.81 0.75 202.57 0.00 -56.76 0.15 0.18 3.44
Degree 2 86 26.90 7.00 6,726 MAX VALUE 612.81 31.69 1.18 3.17
Eccentricity 3 5 3.75 4.00 938 MAX VALUE 327.96 0.53 0.14 0.78
Incidence graph
Density: 1.19%
MCB compute time (ms): 228
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 17 3.45 2.00 1,000 MAX VALUE 273.26 3.76 1.09 0.71
Eccentricity 5 7 5.89 6.00 1,707 MAX VALUE 513.54 0.34 0.06 0.41
MCB cycle size 6 8 6.03 6.00 1,272 MAX VALUE 378.92 0.24 0.04 0.07