Instance: rand-2-40-80-103-800-54_ext
Number of variables: 40
Number of constraints: 103
Satisfiable: None
Timestamp: 2017-10-27 10:57:56
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 103
General features
Number of coarse blocks: 16,240
Number of unique subscopes: 37
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 206 1.01e+31 71.39 0.00 0.00 0.00
Coarse blocks size 3 30 16.04 16.00 260,481 MAX VALUE 44,647.30 3.55 0.22 2.68
Relational linkage 0.04 0.26 0.15 0.15 445.32 0.00 -5,668.17 0.03 0.20 2.28
Tightness 0.79 0.82 0.80 0.80 82.35 0.00 -23.05 0.00 0.01 4.08
Tuples 1,179 1,350 1,283.04 1,284.00 132,153 MAX VALUE 737.14 29.89 0.02 4.08
Domain size 80 80 80.00 80.00 3,200 MAX VALUE 175.28 0.00 0.00 0.00
Constraints per subscope 2 12 5.49 5.00 203 1.12e+26 59.98 2.23 0.41 1.86
Partitions per subscope 80 80 80.00 80.00 2,960 MAX VALUE 162.13 0.00 0.00 0.00
Tree decomposition
Number of clusters: 28
Number of leaves: 13
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1 18 6.86 5.50 192 6.36e+19 45.60 4.89 0.71 2.51
Cluster variables 2 13 6.25 5.50 175 3.47e+20 47.30 3.33 0.53 2.19
Separator constraints 0 14 3.18 1.50 89 0 None 4.26 1.34 1.93
Separator variables 0 12 4.82 4.00 135 0 None 3.21 0.67 2.26
Dual tree decomposition
Number of clusters: 38
Number of leaves: 13
Tree depth: 6
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 4 102 32.61 27.00 1,239 MAX VALUE 123.28 23.74 0.73 3.21
Cluster variables 4 36 13.71 11.00 521 MAX VALUE 93.63 8.13 0.59 2.89
Separator constraints 0 62 18.21 15.50 692 0 None 13.38 0.73 3.19
Separator variables 0 26 11.00 9.50 418 0 None 6.26 0.57 2.80
Primal graph
Density: 13.21%
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 1.00 None 0.14 None None None None None 2.52
Degree 1 12 5.15 5.00 206 1.12e+26 59.98 2.44 0.47 1.98
Eccentricity 3 5 4.10 4.00 164 2.43e+24 56.15 0.49 0.12 0.72
Triangulated primal graph
Density: 27.31%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 None 0.76 None None None None None 3.22
Degree 1 23 10.65 7.50 426 5.73e+34 80.03 7.63 0.72 2.80
Eccentricity 3 5 3.58 4.00 143 7.99e+21 50.43 0.59 0.16 0.86
Dual graph
Density: 10.41%
MCB compute time (ms): 187
MCB cycles: 468
Triangles: 1,040
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 1.00 0.53 0.49 54.12 0.00 -68.06 0.11 0.21 3.35
Degree 3 22 10.62 10.00 1,094 MAX VALUE 237.41 3.53 0.33 2.48
Eccentricity 3 4 3.79 4.00 390 MAX VALUE 136.46 0.41 0.11 0.52
MCB cycle size 3 5 3.15 3.00 1,472 MAX VALUE 533.33 0.39 0.12 0.43
Minimal dual graph
Density: 3.16%
MCB compute time (ms): 38
MCB cycles: 64
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 5 3.22 3.00 332 MAX VALUE 118.23 0.67 0.21 1.01
Eccentricity 6 8 6.78 7.00 698 MAX VALUE 196.78 0.52 0.08 0.76
MCB cycle size 4 9 6.77 7.00 433 MAX VALUE 121.37 1.13 0.17 1.50
Triangulated dual graph
Density: 32.97%
Triangles: 18,192
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 1.00 0.80 0.77 82.19 0.00 -24.29 0.11 0.14 4.20
Degree 3 67 33.63 36.00 3,464 MAX VALUE 335.25 19.93 0.59 3.77
Eccentricity 2 3 2.49 2.00 256 MAX VALUE 91.67 0.50 0.20 0.69
Triangulated minimal dual graph
Density: 12.24%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.41 1.00 0.76 0.67 78.10 0.00 -31.74 0.19 0.25 3.00
Degree 2 37 12.49 6.00 1,286 MAX VALUE 209.72 11.90 0.95 2.93
Eccentricity 3 5 3.81 4.00 392 MAX VALUE 136.39 0.59 0.16 0.89
Incidence graph
Density: 2.03%
MCB compute time (ms): 52
MCB cycles: 64
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 None 0.00 None None None None None 0.66
Degree 1 12 2.88 2.00 412 MAX VALUE 131.37 1.92 0.67 1.05
Eccentricity 6 10 8.32 8.00 1,190 MAX VALUE 302.26 0.83 0.10 1.22
MCB cycle size 6 10 7.28 8.00 466 MAX VALUE 126.34 1.08 0.15 0.79