Instance: rand-2-40-11-414-200-97_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:48
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 8.80 9.00 80,130 MAX VALUE 19,692.70 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 244.46 0.00 -263.83 0.08 0.15 1.28
Tightness 0.10 0.31 0.20 0.20 82.88 0.00 -672.40 0.04 0.18 2.82
Tuples 83 109 96.78 97.00 40,065 MAX VALUE 1,892.56 4.26 0.04 2.82
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 15 27 20.70 21.00 828 MAX VALUE 120.76 3.03 0.15 2.43
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: 7
Tree depth: 2
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 70 257 128.60 98.00 1,286 4.45e+20 47.54 62.20 0.48 2.30
Cluster variables 16 31 20.80 19.00 208 1.15e+13 30.07 5.13 0.25 1.83
Separator constraints 0 193 87.20 75.50 872 0 None 52.38 0.60 2.30
Separator variables 0 27 16.80 17.00 168 0 None 6.79 0.40 1.83
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 247 2,908 833.66 565.50 31,679 MAX VALUE 246.78 641.13 0.77 3.60
Cluster variables 31 245 76.29 50.50 2,899 MAX VALUE 157.60 53.28 0.70 3.38
Separator constraints 0 1,528 614.18 503.00 23,339 0 None 368.44 0.60 3.60
Separator variables 0 177 65.39 47.00 2,485 0 None 40.26 0.62 3.38
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 0.47 0.65 0.54 0.54 21.57 0.00 -24.78 0.04 0.07 3.62
Degree 15 27 20.70 21.00 828 MAX VALUE 120.76 3.03 0.15 2.43
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 81.15%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.82 1.00 0.91 0.90 36.25 0.02 -4.01 0.05 0.06 3.18
Degree 15 38 31.65 35.00 1,266 MAX VALUE 136.74 7.25 0.23 2.11
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.76%
MCB compute time (ms): 14,137
MCB cycles: 8,021
Triangles: 55,939
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 0.55 0.51 0.50 209.91 0.00 -281.24 0.01 0.02 5.03
Degree 30 51 40.29 40.00 16,680 MAX VALUE 1,528.06 4.05 0.10 2.78
Eccentricity 2 3 3.00 3.00 1,240 MAX VALUE 454.01 0.07 0.02 0.03
MCB cycle size 3 3 3.00 3.00 24,063 MAX VALUE 8,811.97 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,176
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 542.39 0.90 0.24 1.20
Eccentricity 7 10 8.30 8.00 3,438 MAX VALUE 874.86 0.70 0.08 1.06
MCB cycle size 4 9 6.56 7.00 2,460 MAX VALUE 698.77 1.18 0.18 1.54
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: 9.70%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.82 0.79 341.54 0.00 -85.57 0.14 0.17 3.76
Degree 2 141 40.04 8.00 16,578 MAX VALUE 1,103.98 50.33 1.26 3.49
Eccentricity 3 5 3.77 4.00 1,559 MAX VALUE 544.79 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 643
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 407.72 5.38 1.47 0.51
Eccentricity 5 6 5.91 6.00 2,682 MAX VALUE 805.80 0.29 0.05 0.31
MCB cycle size 6 6 6.00 6.00 2,250 MAX VALUE 671.91 0.00 0.00 0.00