Instance: rand-2-40-16-250-350-61_ext
Number of variables: 40
Number of constraints: 250
Satisfiable: None
Timestamp: 2017-10-27 10:56:55
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 10.38 10.00 83,056 MAX VALUE 18,574.00 1.92 0.18 2.07
Relational linkage 0.19 0.62 0.45 0.44 288.50 0.00 -519.16 0.07 0.16 1.56
Tightness 0.28 0.45 0.35 0.35 87.78 0.00 -262.57 0.03 0.09 3.36
Tuples 142 185 166.11 167.00 41,528 MAX VALUE 1,277.89 7.74 0.05 3.36
Domain size 16 16 16.00 16.00 640 MAX VALUE 110.90 0.00 0.00 0.00
Constraints per subscope 7 21 12.50 12.00 500 MAX VALUE 99.59 3.40 0.27 2.35
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: 3
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 11 111 46.88 34.00 750 1.50e+25 57.97 31.15 0.66 2.60
Cluster variables 8 25 14.62 12.50 234 1.47e+18 41.83 5.53 0.38 2.22
Separator constraints 0 91 31.25 22.00 500 0 None 27.36 0.88 2.69
Separator variables 0 23 12.12 10.50 194 0 None 5.76 0.48 2.22
Dual tree decomposition
Number of clusters: 38
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 42 902 274.58 210.00 10,434 MAX VALUE 203.22 214.53 0.78 3.56
Cluster variables 13 132 43.24 32.50 1,643 MAX VALUE 135.79 30.25 0.70 3.28
Separator constraints 0 515 192.84 163.00 7,328 0 None 127.69 0.66 3.64
Separator variables 0 104 36.66 29.00 1,393 0 None 23.16 0.63 3.37
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 0.11 0.56 0.31 0.32 12.56 0.00 -47.73 0.08 0.25 3.25
Degree 7 21 12.50 12.00 500 MAX VALUE 99.59 3.40 0.27 2.35
Eccentricity 2 3 2.35 2.00 94 3.21e+14 33.40 0.48 0.20 0.65
Triangulated primal graph
Density: 63.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.70 1.00 0.86 0.85 34.52 0.00 -6.13 0.09 0.11 3.09
Degree 7 35 24.70 30.00 988 MAX VALUE 123.96 9.41 0.38 2.63
Eccentricity 2 3 2.05 2.00 82 2.47e+12 28.54 0.22 0.11 0.20
Dual graph
Density: 9.98%
MCB compute time (ms): 4,917
MCB cycles: 3,048
Triangles: 13,244
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 0.64 0.51 0.50 127.97 0.00 -167.76 0.03 0.05 4.76
Degree 12 40 24.85 24.00 6,212 MAX VALUE 798.13 4.98 0.20 2.95
Eccentricity 3 3 3.00 3.00 750 MAX VALUE 274.65 0.00 0.00 0.00
MCB cycle size 3 4 3.05 3.00 9,284 MAX VALUE 3,388.85 0.21 0.07 0.19
Minimal dual graph
Density: 1.48%
MCB compute time (ms): 310
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 320.22 0.78 0.21 1.12
Eccentricity 6 9 7.23 7.00 1,808 MAX VALUE 493.70 0.62 0.09 0.94
MCB cycle size 4 10 6.83 7.00 1,441 MAX VALUE 402.32 1.11 0.16 1.46
Triangulated dual graph
Density: 54.81%
Triangles: 744,100
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.75 1.00 0.85 0.84 213.71 0.00 -40.05 0.07 0.08 5.00
Degree 12 198 136.49 161.00 34,122 MAX VALUE 1,186.86 59.01 0.43 4.03
Eccentricity 2 3 2.20 2.00 550 MAX VALUE 193.56 0.40 0.18 0.50
Triangulated minimal dual graph
Density: 11.16%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.81 0.76 203.53 0.00 -55.53 0.15 0.18 3.53
Degree 2 89 27.79 8.00 6,948 MAX VALUE 625.72 32.16 1.16 3.30
Eccentricity 3 5 3.72 4.00 931 MAX VALUE 326.14 0.52 0.14 0.76
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 272.88 3.83 1.11 0.73
Eccentricity 5 7 5.93 6.00 1,719 MAX VALUE 515.64 0.32 0.05 0.39
MCB cycle size 6 8 6.11 6.00 1,290 MAX VALUE 381.51 0.46 0.08 0.22