Instance: rand-2-40-11-414-200-23_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:37
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 2 11 8.80 9.00 80,116 MAX VALUE 19,689.50 1.33 0.15 1.68
Relational linkage 0.18 0.82 0.55 0.55 243.82 0.00 -265.67 0.09 0.16 1.33
Tightness 0.09 0.32 0.20 0.20 82.94 0.00 -673.81 0.04 0.19 2.93
Tuples 82 110 96.76 97.00 40,058 MAX VALUE 1,892.41 4.69 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 15 30 20.70 21.00 828 MAX VALUE 120.70 3.30 0.16 2.42
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: 12
Number of leaves: 5
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 73 235 154.67 166.50 1,856 6.56e+25 59.45 60.83 0.39 2.25
Cluster variables 16 29 23.00 24.50 276 1.62e+16 37.33 5.00 0.22 2.09
Separator constraints 0 216 120.17 113.50 1,442 0 None 66.75 0.56 2.37
Separator variables 0 28 19.67 20.50 236 0 None 7.54 0.38 2.25
Dual tree decomposition
Number of clusters: 38
Number of leaves: 19
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 230 3,081 834.82 597.50 31,723 MAX VALUE 246.64 654.12 0.78 3.60
Cluster variables 30 247 76.08 53.00 2,891 MAX VALUE 157.45 53.40 0.70 3.56
Separator constraints 0 1,562 614.45 504.50 23,349 0 None 376.13 0.61 3.56
Separator variables 0 174 65.18 48.00 2,477 0 None 40.28 0.62 3.49
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 0.59 0.53 0.53 21.16 0.00 -25.52 0.03 0.05 3.45
Degree 15 30 20.70 21.00 828 MAX VALUE 120.70 3.30 0.16 2.42
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 82.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.81 1.00 0.91 0.90 36.28 0.02 -3.97 0.05 0.06 3.31
Degree 15 39 32.10 35.00 1,284 MAX VALUE 137.53 6.87 0.21 2.53
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.80%
MCB compute time (ms): 42,281
MCB cycles: 8,269
Triangles: 56,712
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 0.50 210.23 0.00 -280.64 0.01 0.02 5.12
Degree 29 55 40.45 40.00 16,748 MAX VALUE 1,529.21 4.60 0.11 2.91
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 24,908 MAX VALUE 9,113.48 0.11 0.04 0.07
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 2,041
MCB cycles: 377
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 542.54 0.90 0.24 1.20
Eccentricity 7 10 8.22 8.00 3,404 MAX VALUE 870.98 0.64 0.08 0.97
MCB cycle size 4 9 6.57 7.00 2,478 MAX VALUE 703.57 1.16 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: 9.53%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.83 0.80 343.07 0.00 -84.04 0.14 0.17 3.69
Degree 2 135 39.34 7.00 16,288 MAX VALUE 1,094.66 50.01 1.27 3.36
Eccentricity 3 5 3.74 4.00 1,549 MAX VALUE 542.11 0.52 0.14 0.76
Incidence graph
Density: 0.81%
MCB compute time (ms): 564
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 30 3.65 2.00 1,656 MAX VALUE 407.67 5.39 1.48 0.51
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