Instance: rand-2-40-11-414-200-31_ext
Number of variables: 40
Number of constraints: 414
Satisfiable: None
Timestamp: 2017-10-27 10:56:47
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 80,192 MAX VALUE 19,698.80 1.33 0.15 1.68
Relational linkage 0.27 0.73 0.55 0.55 243.27 0.00 -265.33 0.08 0.14 1.25
Tightness 0.10 0.31 0.20 0.20 82.63 0.00 -675.14 0.04 0.19 2.91
Tuples 84 109 96.85 97.00 40,096 MAX VALUE 1,892.81 4.65 0.05 2.91
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 20.50 828 MAX VALUE 120.88 2.66 0.13 2.23
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 71 254 151.40 130.50 1,514 2.32e+21 49.20 66.99 0.44 2.30
Cluster variables 16 31 23.00 21.50 230 3.11e+13 31.07 5.51 0.24 2.16
Separator constraints 0 236 110.00 86.00 1,100 0 None 67.43 0.61 2.30
Separator variables 0 30 19.00 18.50 190 0 None 7.96 0.42 2.30
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 265 3,028 831.76 582.00 31,607 MAX VALUE 246.86 651.12 0.78 3.56
Cluster variables 32 250 76.37 50.50 2,902 MAX VALUE 157.66 53.73 0.70 3.46
Separator constraints 0 1,694 613.42 474.00 23,310 0 None 379.66 0.62 3.60
Separator variables 0 180 65.47 47.50 2,488 0 None 40.74 0.62 3.42
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 0.60 0.52 0.52 20.98 0.00 -25.86 0.03 0.05 3.45
Degree 15 26 20.70 20.50 828 MAX VALUE 120.88 2.66 0.13 2.23
Eccentricity 2 2 2.00 2.00 80 1.10e+12 27.73 0.00 0.00 0.00
Triangulated primal graph
Density: 83.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.83 1.00 0.92 0.91 36.66 0.03 -3.54 0.05 0.05 3.38
Degree 15 39 32.75 35.00 1,310 MAX VALUE 138.42 6.67 0.20 2.30
Eccentricity 1 2 1.98 2.00 79 5.50e+11 27.03 0.16 0.08 0.12
Dual graph
Density: 9.71%
MCB compute time (ms): 9,812
MCB cycles: 8,026
Triangles: 55,096
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 0.50 209.15 0.00 -282.72 0.01 0.01 4.75
Degree 31 50 40.08 40.00 16,594 MAX VALUE 1,526.30 3.68 0.09 2.68
Eccentricity 3 3 3.00 3.00 1,242 MAX VALUE 454.82 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 24,078 MAX VALUE 8,817.46 0.00 0.00 0.00
Minimal dual graph
Density: 0.92%
MCB compute time (ms): 1,728
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 542.15 0.91 0.24 1.21
Eccentricity 7 10 8.13 8.00 3,366 MAX VALUE 865.83 0.75 0.09 1.11
MCB cycle size 4 10 6.71 7.00 2,516 MAX VALUE 707.84 1.15 0.17 1.53
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 0.54 1.00 0.82 0.78 341.07 0.00 -86.24 0.14 0.17 3.77
Degree 2 138 40.06 9.00 16,586 MAX VALUE 1,106.87 50.21 1.25 3.45
Eccentricity 3 5 3.75 4.00 1,554 MAX VALUE 543.74 0.50 0.13 0.72
Incidence graph
Density: 0.81%
MCB compute time (ms): 679
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 407.84 5.36 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