Instance: rand-2-40-11-414-200-7_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:41
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 8.79 9.00 80,026 MAX VALUE 19,682.00 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 247.46 0.00 -257.80 0.08 0.14 1.26
Tightness 0.10 0.32 0.20 0.20 83.31 0.00 -670.45 0.04 0.18 2.86
Tuples 82 109 96.65 97.00 40,013 MAX VALUE 1,892.02 4.31 0.04 2.86
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 26 20.70 21.00 828 MAX VALUE 120.89 2.51 0.12 2.19
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: 5
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 67 259 155.80 144.50 1,558 2.61e+21 49.31 72.38 0.46 2.30
Cluster variables 16 31 23.40 23.00 234 3.61e+13 31.22 5.75 0.25 2.03
Separator constraints 0 240 114.40 93.50 1,144 0 None 73.86 0.65 2.30
Separator variables 0 30 19.40 19.50 194 0 None 8.27 0.43 2.16
Dual tree decomposition
Number of clusters: 38
Number of leaves: 20
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 263 2,894 834.26 532.50 31,702 MAX VALUE 247.02 644.63 0.77 3.51
Cluster variables 32 243 76.47 47.50 2,906 MAX VALUE 157.71 53.79 0.70 3.30
Separator constraints 0 1,632 616.32 476.00 23,420 0 None 374.94 0.61 3.51
Separator variables 0 181 65.58 44.50 2,492 0 None 40.77 0.62 3.27
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 0.48 0.59 0.53 0.53 21.02 0.00 -25.78 0.03 0.05 3.48
Degree 15 26 20.70 21.00 828 MAX VALUE 120.89 2.51 0.12 2.19
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 84.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.84 1.00 0.92 0.91 36.76 0.03 -3.42 0.04 0.05 3.18
Degree 15 39 32.95 35.50 1,318 MAX VALUE 138.69 6.57 0.20 2.25
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.69%
MCB compute time (ms): 9,243
MCB cycles: 8,265
Triangles: 54,728
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 0.54 0.50 0.50 208.92 0.00 -283.16 0.01 0.01 4.69
Degree 31 48 40.01 40.00 16,564 MAX VALUE 1,525.77 3.39 0.08 2.61
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 4 3.00 3.00 24,833 MAX VALUE 9,090.96 0.07 0.02 0.03
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,504
MCB cycles: 376
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 543.55 0.85 0.22 1.17
Eccentricity 7 10 8.22 8.00 3,404 MAX VALUE 870.80 0.68 0.08 1.03
MCB cycle size 4 10 6.61 7.00 2,487 MAX VALUE 702.73 1.28 0.19 1.64
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: 10.08%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 343.70 0.00 -82.59 0.13 0.16 3.78
Degree 2 137 41.62 9.00 17,232 MAX VALUE 1,117.19 52.15 1.25 3.41
Eccentricity 3 5 3.77 4.00 1,559 MAX VALUE 544.60 0.53 0.14 0.79
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 26 3.65 2.00 1,656 MAX VALUE 407.86 5.35 1.47 0.49
Eccentricity 5 6 5.91 6.00 2,684 MAX VALUE 806.17 0.28 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