Instance: rand-2-40-11-414-200-44_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:31
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 414
General features
Number of coarse blocks: 9,108
Number of unique subscopes: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 828 MAX VALUE 286.96 0.00 0.00 0.00
Coarse blocks size 3 11 8.83 9.00 80,380 MAX VALUE 19,721.00 1.33 0.15 1.67
Relational linkage 0.27 0.73 0.55 0.55 243.36 0.00 -265.99 0.08 0.15 1.32
Tightness 0.11 0.33 0.20 0.20 81.85 0.00 -679.14 0.04 0.20 2.93
Tuples 81 108 97.08 97.00 40,190 MAX VALUE 1,893.77 4.70 0.05 2.93
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 14 27 20.70 21.00 828 MAX VALUE 120.84 2.79 0.13 2.27
Partitions per subscope 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Tree decomposition
Number of clusters: 10
Number of leaves: 4
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 62 262 169.80 164.00 1,698 7.52e+21 50.37 69.70 0.41 2.16
Cluster variables 15 31 24.20 24.50 242 5.18e+13 31.58 5.58 0.23 1.97
Separator constraints 0 243 128.40 118.50 1,284 0 None 75.76 0.59 2.30
Separator variables 0 30 20.20 21.00 202 0 None 8.45 0.42 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 216 2,904 831.55 567.00 31,599 MAX VALUE 246.88 641.63 0.77 3.49
Cluster variables 29 239 76.42 50.50 2,904 MAX VALUE 157.64 53.78 0.70 3.40
Separator constraints 0 1,611 612.84 519.50 23,288 0 None 370.85 0.61 3.53
Separator variables 0 185 65.53 46.00 2,490 0 None 40.89 0.62 3.40
Primal graph
Density: 53.08%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.61 0.54 0.54 21.55 0.00 -24.79 0.03 0.05 3.55
Degree 14 27 20.70 21.00 828 MAX VALUE 120.84 2.79 0.13 2.27
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 85.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.92 0.92 36.88 0.04 -3.28 0.04 0.04 3.32
Degree 14 39 33.35 36.00 1,334 MAX VALUE 139.31 6.25 0.19 2.25
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.72%
MCB compute time (ms): 7,573
MCB cycles: 8,609
Triangles: 55,390
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.56 0.51 0.50 209.50 0.00 -282.03 0.01 0.01 4.82
Degree 28 49 40.15 40.00 16,622 MAX VALUE 1,526.88 3.77 0.09 2.72
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.01 3.00 25,926 MAX VALUE 9,486.43 0.11 0.04 0.06
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,582
MCB cycles: 375
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 3.81 4.00 1,576 MAX VALUE 542.63 0.89 0.23 1.20
Eccentricity 7 10 8.25 8.00 3,416 MAX VALUE 872.24 0.69 0.08 1.04
MCB cycle size 4 9 6.57 7.00 2,463 MAX VALUE 698.86 1.22 0.19 1.58
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 10.12%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.83 0.80 345.19 0.00 -81.12 0.14 0.17 3.74
Degree 2 139 41.80 8.00 17,306 MAX VALUE 1,109.93 52.59 1.26 3.37
Eccentricity 3 5 3.73 4.00 1,546 MAX VALUE 541.38 0.51 0.14 0.75
Incidence graph
Density: 0.81%
MCB compute time (ms): 511
MCB cycles: 375
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 27 3.65 2.00 1,656 MAX VALUE 407.80 5.36 1.47 0.50
Eccentricity 5 6 5.91 6.00 2,683 MAX VALUE 805.98 0.29 0.05 0.30
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00