Instance: 4-insertions-4-3_ext
Number of variables: 475
Number of constraints: 1795
Satisfiable: None
Timestamp: 2017-10-27 10:46:09
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 475
Number of constraints: 1795
General features
Number of coarse blocks: 10,770
Number of unique subscopes: 475
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 3,590 MAX VALUE 1,244.20 0.00 0.00 0.00
Coarse blocks size 2 2 2.00 2.00 21,540 MAX VALUE 7,465.20 0.00 0.00 0.00
Relational linkage 0.67 0.67 0.67 0.67 950.00 0.00 -577.79 0.00 0.00 0.00
Tightness 0.33 0.33 0.33 0.33 598.33 0.00 -1,972.01 0.00 0.00 0.00
Tuples 6 6 6.00 6.00 10,770 MAX VALUE 3,216.21 0.00 0.00 0.00
Domain size 3 3 3.00 3.00 1,425 MAX VALUE 521.84 0.00 0.00 0.00
Constraints per subscope 4 79 7.56 8.00 3,590 MAX VALUE 938.22 4.02 0.53 0.98
Partitions per subscope 3 3 3.00 3.00 1,425 MAX VALUE 521.84 0.00 0.00 0.00
Tree decomposition
Number of clusters: 322
Number of leaves: 234
Tree depth: 10
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 0 55 8.45 6.00 2,721 0 None 8.19 0.97 2.10
Cluster variables 5 95 13.31 9.00 4,285 MAX VALUE 750.84 13.06 0.98 2.36
Separator constraints 0 39 2.88 0.00 926 0 None 7.46 2.60 0.82
Separator variables 0 77 11.83 8.00 3,810 0 None 11.51 0.97 2.36
Dual tree decomposition
Number of clusters: 473
Number of leaves: 206
Tree depth: 9
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 25 3,387 113.29 56.00 53,588 MAX VALUE 2,024.54 249.48 2.20 3.69
Cluster variables 10 416 32.70 18.00 15,465 MAX VALUE 1,480.71 44.20 1.35 3.41
Separator constraints 0 2,645 80.31 42.00 37,988 0 None 164.95 2.05 3.59
Separator variables 0 300 28.90 17.00 13,670 0 None 35.39 1.22 3.29
Primal graph
Density: 1.59%
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Primal1.pdf
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 4 79 7.56 8.00 3,590 MAX VALUE 938.22 4.02 0.53 0.98
Eccentricity 6 6 6.00 6.00 2,850 MAX VALUE 851.09 0.00 0.00 0.00
Triangulated primal graph
Density: 10.55%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.23 1.00 0.84 0.88 399.82 0.00 -92.06 0.17 0.20 3.29
Degree 4 287 50.00 12.00 23,752 MAX VALUE 1,465.44 57.31 1.15 3.57
Eccentricity 2 4 3.23 3.00 1,536 MAX VALUE 552.83 0.46 0.14 0.64
Dual graph
Density: 0.97%
MCB compute time (ms): 332,085
MCB cycles: 20,306
Triangles: 112,645
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.44 0.93 0.51 0.46 909.19 0.00 -1,252.29 0.11 0.22 1.38
Degree 9 91 17.38 14.00 31,200 MAX VALUE 4,865.41 14.57 0.84 1.38
Eccentricity 7 7 7.00 7.00 12,565 MAX VALUE 3,492.91 0.00 0.00 0.00
MCB cycle size 3 13 3.64 3.00 73,891 MAX VALUE 25,673.20 0.94 0.26 0.93
Minimal dual graph
Density: 0.19%
MCB compute time (ms): 125,338
MCB cycles: 1,321
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 3.47 3.00 6,230 MAX VALUE 2,205.73 0.63 0.18 0.91
Eccentricity 11 15 12.92 13.00 23,193 MAX VALUE 4,591.36 0.57 0.04 0.86
MCB cycle size 4 16 7.40 8.00 9,775 MAX VALUE 2,616.78 1.51 0.20 1.70
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: 4.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.80 1,465.36 0.00 -393.65 0.15 0.18 4.16
Degree 2 414 75.59 7.00 135,690 MAX VALUE 4,893.65 124.93 1.65 3.78
Eccentricity 3 6 4.58 5.00 8,227 MAX VALUE 2,717.70 0.58 0.13 0.87
Incidence graph
Density: 0.14%
MCB compute time (ms): 97,657
MCB cycles: 1,321
Dot-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/k-insertionExtConvert/4-insertions-4-3_ext/Incidence1.pdf
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 79 3.16 2.00 7,180 MAX VALUE 2,182.42 2.91 0.92 0.72
Eccentricity 13 14 13.79 14.00 31,305 MAX VALUE 5,955.46 0.41 0.03 0.51
MCB cycle size 8 26 8.01 8.00 10,586 MAX VALUE 2,748.12 0.50 0.06 0.01