Instance: rand-2-40-11-414-200-40_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:42
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 80,180 MAX VALUE 19,700.30 1.32 0.15 1.67
Relational linkage 0.27 0.73 0.56 0.55 246.00 0.00 -260.67 0.08 0.14 1.26
Tightness 0.11 0.31 0.20 0.20 82.68 0.00 -673.79 0.04 0.18 2.85
Tuples 84 108 96.84 97.00 40,090 MAX VALUE 1,892.81 4.32 0.04 2.85
Domain size 11 11 11.00 11.00 440 MAX VALUE 95.92 0.00 0.00 0.00
Constraints per subscope 16 28 20.70 20.50 828 MAX VALUE 120.85 2.78 0.13 2.26
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: 9
Number of leaves: 6
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 82 274 155.56 112.00 1,400 2.00e+19 44.44 75.66 0.49 2.20
Cluster variables 17 32 23.22 20.00 209 1.50e+12 28.04 5.86 0.25 1.89
Separator constraints 0 253 109.56 88.00 986 0 None 74.71 0.68 2.20
Separator variables 0 31 18.78 19.00 169 0 None 8.30 0.44 2.04
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 2,830 842.84 583.50 32,028 MAX VALUE 247.01 670.00 0.79 3.60
Cluster variables 32 241 76.74 51.00 2,916 MAX VALUE 157.72 54.52 0.71 3.37
Separator constraints 0 1,720 624.16 489.50 23,718 0 None 398.66 0.64 3.60
Separator variables 0 186 65.84 47.00 2,502 0 None 41.53 0.63 3.37
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 0.58 0.53 0.53 21.05 0.00 -25.71 0.02 0.04 3.52
Degree 16 28 20.70 20.50 828 MAX VALUE 120.85 2.78 0.13 2.26
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 85.26%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.87 1.00 0.92 0.91 36.91 0.04 -3.25 0.04 0.04 3.01
Degree 16 38 33.25 36.00 1,330 MAX VALUE 139.11 6.48 0.19 1.93
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Dual graph
Density: 9.72%
MCB compute time (ms): 20,240
MCB cycles: 8,847
Triangles: 55,396
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 0.51 0.50 209.30 0.00 -282.43 0.01 0.01 4.90
Degree 31 52 40.14 40.00 16,620 MAX VALUE 1,526.72 3.93 0.10 2.75
Eccentricity 2 3 3.00 3.00 1,241 MAX VALUE 454.42 0.05 0.02 0.02
MCB cycle size 3 4 3.03 3.00 26,829 MAX VALUE 9,802.28 0.18 0.06 0.14
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,969
MCB cycles: 375
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.02 12.17 0.05
Degree 2 6 3.81 4.00 1,576 MAX VALUE 542.66 0.88 0.23 1.22
Eccentricity 7 10 8.34 8.00 3,454 MAX VALUE 876.82 0.70 0.08 1.05
MCB cycle size 3 10 6.51 7.00 2,443 MAX VALUE 695.96 1.20 0.18 1.59
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: 9.77%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.83 0.79 341.62 0.00 -85.66 0.14 0.17 3.80
Degree 2 140 40.34 9.00 16,700 MAX VALUE 1,104.81 50.62 1.25 3.50
Eccentricity 3 5 3.74 4.00 1,547 MAX VALUE 541.41 0.53 0.14 0.78
Incidence graph
Density: 0.81%
MCB compute time (ms): 694
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 28 3.65 2.00 1,656 MAX VALUE 407.81 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