Instance: normalized-rand-2-40-40-135-650-45-ext
Number of variables: 40
Number of constraints: 135
Satisfiable: True
Timestamp: 2025-07-20 22:09:32
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0
Benchmark comments

Instance comments



Component #1 Number of variables: 40
Number of constraints: 135
General features
Coarse blocks: 10,800
Value tables: 40
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 270 MAX VALUE 93.57 0.00 0.00 0.00
Coarse blocks size 4 26 14.10 14.00 152,228 MAX VALUE 28,306.70 3.05 0.22 2.53
Relational linkage 0.10 0.42 0.26 0.25 410.57 0.00 -2,206.11 0.05 0.19 2.07
Tightness 0.62 0.68 0.65 0.65 87.43 0.00 -58.67 0.01 0.02 3.99
Tuples 518 606 563.81 562.00 76,114 MAX VALUE 855.11 18.65 0.03 3.99
Values 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Value table constraints 3 13 6.75 7.00 270 1.00e+32 73.68 2.37 0.35 2.18
Value table partitions 40 40 40.00 40.00 1,600 MAX VALUE 147.56 0.00 0.00 0.00
Tree decomposition
Number of clusters: 24
Number of leaves: 12
Tree depth: 3
CIR: 0.22
Independent Cluster Pairs: 55
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Tree1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 3 25 10.71 9.00 257 4.26e+22 52.11 6.73 0.63 2.54
Variables per cluster 4 17 8.46 7.50 203 1.58e+21 48.81 3.88 0.46 2.31
Separator constraints 0 20 5.08 4.00 122 0 None 5.46 1.07 2.34
Separator variables 0 15 6.79 6.00 163 0 None 3.73 0.55 2.31
Clusters per var 1 14 5.08 3.00 203 1.68e+21 48.88 4.02 0.79 2.24
Dual tree decomposition
Number of clusters: 38
Number of leaves: 15
Tree depth: 6
CIR: 0.30
Independent Cluster Pairs: 198
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/DualTree1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 9 185 63.24 48.00 2,403 MAX VALUE 147.68 44.15 0.70 3.44
Variables per cluster 6 59 20.32 16.00 772 MAX VALUE 107.71 13.10 0.64 3.07
Separator constraints 0 101 39.84 35.50 1,514 0 None 27.22 0.68 3.33
Separator variables 0 45 16.76 14.50 637 0 None 10.15 0.61 3.07
Clusters per variable 1 12 5.72 6.00 772 MAX VALUE 209.22 2.86 0.50 2.28
Primal graph
Density: 17.31%
MCB compute time (ms): 3
MCB cycles: 131
Triangles: 55
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Primal1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.40 0.18 0.18 7.10 0.00 None 0.11 0.63 2.96
Degree 3 13 6.75 7.00 270 1.00e+32 73.68 2.37 0.35 2.18
Eccentricity None None None None None None None None None None
MCB cycle size 3 5 3.65 4.00 478 MAX VALUE 167.98 0.57 0.15 0.83
Triangulated primal graph
Density: 38.33%
MCB compute time (ms): 5
MCB cycles: 288
Triangles: 1,319
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.55 1.00 0.81 0.81 32.45 0.00 -9.05 0.15 0.18 2.80
Degree 3 29 14.95 14.50 598 MAX VALUE 98.35 8.90 0.60 2.93
Eccentricity None None None None None None None None None None
MCB cycle size 3 3 3.00 3.00 864 MAX VALUE 316.40 0.00 0.00 0.00
Dual graph
Density: 9.83%
MCB compute time (ms): 122
MCB cycles: 947
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Dual1.json
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.67 0.51 0.50 68.99 0.00 -91.33 0.05 0.11 3.90
Degree 5 22 13.17 13.00 1,778 MAX VALUE 343.71 3.18 0.24 2.53
Eccentricity None None None None None None None None None None
MCB cycle size 3 6 3.29 3.00 3,115 MAX VALUE 1,115.86 0.56 0.17 0.68
Minimal dual graph
Density: 2.54%
MCB compute time (ms): 38
MCB cycles: 96
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 3.41 3.00 460 MAX VALUE 162.87 0.66 0.19 1.00
Eccentricity None None None None None None None None None None
MCB cycle size 4 9 6.91 7.00 663 MAX VALUE 183.93 1.22 0.18 1.58
Triangulated dual graph
Density: 41.34%
Triangles: 65,958
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.65 1.00 0.82 0.81 111.18 0.00 -27.13 0.10 0.12 4.35
Degree 5 96 55.39 66.00 7,478 MAX VALUE 510.26 29.64 0.54 3.88
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 12.37%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.46 1.00 0.79 0.72 106.17 0.00 -35.49 0.17 0.21 3.12
Degree 2 49 16.58 6.00 2,238 MAX VALUE 297.50 17.18 1.04 2.95
Eccentricity None None None None None None None None None None
Incidence graph
Density: 1.77%
MCB compute time (ms): 34
MCB cycles: 96
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/tightness0.65/normalized-rand-2-40-40-135-650-45-ext/Incidence1.json
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 13 3.09 2.00 540 MAX VALUE 167.26 2.29 0.74 1.04
Eccentricity None None None None None None None None None None
MCB cycle size 6 10 6.94 6.00 666 MAX VALUE 184.89 1.04 0.15 0.74