Instance: rand-2-40-8-753-100-78_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:24
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 753
General features
Number of coarse blocks: 12,048
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 1,506 MAX VALUE 521.94 0.00 0.00 0.00
Coarse blocks size 3 8 7.19 7.00 86,594 MAX VALUE 23,667.60 0.86 0.12 1.16
Relational linkage 0.38 0.88 0.62 0.62 199.38 0.00 -154.41 0.08 0.13 0.98
Tightness 0.00 0.23 0.10 0.11 76.48 0.00 None 0.04 0.38 2.31
Tuples 49 64 57.50 57.00 43,297 MAX VALUE 3,050.28 2.48 0.04 2.31
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.33 0.04 1.50
Partitions per subscope 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Tree decomposition
Number of clusters: 4
Number of leaves: 3
Tree depth: 1
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 546 650 615.00 632.00 2,460 1.42e+11 25.68 42.26 0.07 1.39
Cluster variables 34 37 36.00 36.50 144 1,675,660 14.33 1.22 0.03 1.04
Separator constraints 0 614 426.75 546.50 1,707 0 None 249.05 0.58 1.39
Separator variables 0 36 26.00 34.00 104 0 None 15.05 0.58 1.39
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 1,151 11,770 3,034.63 1,520.00 115,316 MAX VALUE 295.29 2,570.35 0.85 2.83
Cluster variables 67 489 146.29 77.00 5,559 MAX VALUE 181.87 108.03 0.74 2.75
Separator constraints 0 6,450 2,307.45 1,444.00 87,683 0 None 1,484.99 0.64 2.79
Separator variables 0 361 126.47 76.00 4,806 0 None 82.17 0.65 2.72
Primal graph
Density: 96.54%
Dot-file path: None
PDF-file path: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.96 0.97 0.97 0.96 38.64 0.25 -1.38 0.00 0.00 2.33
Degree 33 39 37.65 38.00 1,506 MAX VALUE 145.11 1.33 0.04 1.50
Eccentricity 1 2 1.70 2.00 68 268,435,000 19.41 0.46 0.27 0.61
Triangulated primal graph
Density: 98.72%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.54 0.63 -0.46 0.00 0.00 0.86
Degree 33 39 38.50 39.00 1,540 MAX VALUE 146.00 1.22 0.03 0.83
Eccentricity 1 2 1.23 1.00 49 512 6.24 0.42 0.34 0.53
Dual graph
Density: 9.76%
MCB compute time (ms): 27,366
MCB cycles: 26,881
Triangles: 338,129
Dot-file path: None
PDF-file path: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 0.51 0.51 0.51 381.61 0.00 -511.80 0.00 0.00 2.29
Degree 66 76 73.39 74.00 55,266 MAX VALUE 3,234.55 1.78 0.02 1.92
Eccentricity 2 2 2.00 2.00 1,506 MAX VALUE 521.94 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 80,643 MAX VALUE 29,531.80 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 12,087
MCB cycles: 715
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 16.43 0.03
Degree 2 7 3.89 4.00 2,932 MAX VALUE 1,002.14 0.96 0.25 1.25
Eccentricity 9 14 11.45 11.00 8,620 MAX VALUE 1,832.17 1.10 0.10 1.50
MCB cycle size 3 12 6.11 6.00 4,366 MAX VALUE 1,279.05 1.21 0.20 1.58
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: 6.71%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.81 0.78 613.28 0.00 -167.13 0.15 0.18 4.11
Degree 2 216 50.44 9.00 37,980 MAX VALUE 2,078.82 70.26 1.39 3.74
Eccentricity 3 5 4.10 4.00 3,084 MAX VALUE 1,053.62 0.59 0.14 0.88
Incidence graph
Density: 0.48%
MCB compute time (ms): 881
MCB cycles: 714
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 39 3.80 2.00 3,012 MAX VALUE 667.05 7.81 2.06 0.28
Eccentricity 3 5 4.05 4.00 3,212 MAX VALUE 1,107.48 0.28 0.07 0.32
MCB cycle size 6 6 6.00 6.00 4,284 MAX VALUE 1,279.32 0.00 0.00 0.00