Instance: rand-2-40-8-753-100-87_ext
Number of variables: 40
Number of constraints: 753
Satisfiable: None
Timestamp: 2017-10-27 10:56:12
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 7.21 7.00 86,856 MAX VALUE 23,709.60 0.84 0.12 1.14
Relational linkage 0.38 0.88 0.63 0.62 202.38 0.00 -149.54 0.08 0.13 1.01
Tightness 0.00 0.22 0.10 0.09 74.44 0.00 None 0.04 0.37 2.26
Tuples 50 64 57.67 58.00 43,428 MAX VALUE 3,052.64 2.34 0.04 2.26
Domain size 8 8 8.00 8.00 320 1.33e+36 83.18 0.00 0.00 0.00
Constraints per subscope 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.31 0.03 1.46
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 613 648 622.75 615.00 2,491 1.50e+11 25.74 14.62 0.02 1.39
Cluster variables 36 37 36.25 36.00 145 1,726,270 14.36 0.43 0.01 0.56
Separator constraints 0 581 434.50 578.50 1,738 0 None 250.86 0.58 1.39
Separator variables 0 35 26.25 35.00 105 0 None 15.16 0.58 0.56
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 1,220 11,638 3,044.84 1,520.00 115,704 MAX VALUE 295.34 2,591.96 0.85 3.02
Cluster variables 69 488 146.58 77.00 5,570 MAX VALUE 181.91 108.65 0.74 2.90
Separator constraints 0 6,629 2,317.68 1,444.00 88,072 0 None 1,509.20 0.65 3.02
Separator variables 0 366 126.76 76.00 4,817 0 None 82.85 0.65 2.90
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 0.98 0.97 0.96 38.64 0.25 -1.38 0.00 0.00 2.18
Degree 35 39 37.65 38.00 1,506 MAX VALUE 145.11 1.31 0.03 1.46
Eccentricity 1 2 1.68 2.00 67 134,218,000 18.71 0.47 0.28 0.63
Triangulated primal graph
Density: 98.85%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.99 1.00 0.99 0.99 39.58 0.66 -0.42 0.00 0.00 0.70
Degree 35 39 38.55 39.00 1,542 MAX VALUE 146.06 1.09 0.03 0.70
Eccentricity 1 2 1.20 1.00 48 256 5.55 0.40 0.33 0.50
Dual graph
Density: 9.76%
MCB compute time (ms): 23,663
MCB cycles: 26,880
Triangles: 338,100
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 0.51 381.60 0.00 -511.81 0.00 0.00 2.23
Degree 68 76 73.39 74.00 55,264 MAX VALUE 3,234.52 1.77 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 80,640 MAX VALUE 29,530.70 0.00 0.00 0.00
Minimal dual graph
Density: 0.52%
MCB compute time (ms): 10,608
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 1,002.37 0.95 0.25 1.26
Eccentricity 9 15 11.76 12.00 8,855 MAX VALUE 1,852.20 1.16 0.10 1.56
MCB cycle size 3 13 6.09 6.00 4,357 MAX VALUE 1,273.83 1.35 0.22 1.64
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: 6.78%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.81 0.78 613.28 0.00 -167.73 0.15 0.19 4.07
Degree 2 209 51.00 9.00 38,400 MAX VALUE 2,083.81 70.69 1.39 3.76
Eccentricity 3 6 4.27 4.00 3,216 MAX VALUE 1,084.96 0.62 0.15 0.94
Incidence graph
Density: 0.48%
MCB compute time (ms): 920
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 0.27
Eccentricity 3 5 4.05 4.00 3,211 MAX VALUE 1,107.20 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