XCSP 2.1 Benchmark Database

Instance: normalized-fpga-13-13-ext
Number of variables: 254
Number of constraints: 208
Satisfiable: True
Timestamp: 2025-07-20 22:08:48
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 254
Number of constraints: 208

General features

Coarse blocks: 20,034
Value tables: 267

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 6 13 8.16 8.00 1,697 MAX VALUE 432.07 1.90 0.23 1.09

Coarse blocks size 1 4,096 83.63 2.00 1,675,380 MAX VALUE 26,413.30 526.68 6.30 0.83

Relational linkage 0.00 1.00 0.72 1.00 1,288.08 0.00 -2,884.19 0.44 0.61 1.08

Tightness 0.00 1.00 0.12 0.01 25.85 0.00 -1,001.38 0.32 2.54 1.29

Tuples 7 8,191 672.47 191.00 139,874 MAX VALUE 1,059.78 1,943.08 2.89 1.29

Values 2 2 2.00 2.00 508 MAX VALUE 176.06 0.00 0.00 0.00

Value table constraints 3 14 6.99 3.00 1,866 MAX VALUE 443.33 5.24 0.75 0.80

Value table partitions 2 128 6.70 2.00 1,788 MAX VALUE 234.98 21.92 3.27 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	6	13	8.16	8.00	1,697	MAX VALUE	432.07	1.90	0.23	1.09
Coarse blocks size	1	4,096	83.63	2.00	1,675,380	MAX VALUE	26,413.30	526.68	6.30	0.83
Relational linkage	0.00	1.00	0.72	1.00	1,288.08	0.00	-2,884.19	0.44	0.61	1.08
Tightness	0.00	1.00	0.12	0.01	25.85	0.00	-1,001.38	0.32	2.54	1.29
Tuples	7	8,191	672.47	191.00	139,874	MAX VALUE	1,059.78	1,943.08	2.89	1.29
Values	2	2	2.00	2.00	508	MAX VALUE	176.06	0.00	0.00	0.00
Value table constraints	3	14	6.99	3.00	1,866	MAX VALUE	443.33	5.24	0.75	0.80
Value table partitions	2	128	6.70	2.00	1,788	MAX VALUE	234.98	21.92	3.27	0.23

Tree decomposition

Number of clusters: 37
Number of leaves: 13
Tree depth: 5
CIR: 0.07
Independent Cluster Pairs: 42
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Tree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 15 5.97 2.00 221 0 None 6.69 1.12 1.10

Variables per cluster 24 132 47.22 35.00 1,747 MAX VALUE 137.14 29.18 0.62 2.12

Separator constraints 0 1 0.35 0.00 13 0 None 0.48 1.36 0.65

Separator variables 0 96 40.35 34.00 1,493 0 None 21.73 0.54 2.08

Clusters per var 1 9 6.88 8.00 1,747 MAX VALUE 463.19 2.27 0.33 1.83

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	15	5.97	2.00	221	0	None	6.69	1.12	1.10
Variables per cluster	24	132	47.22	35.00	1,747	MAX VALUE	137.14	29.18	0.62	2.12
Separator constraints	0	1	0.35	0.00	13	0	None	0.48	1.36	0.65
Separator variables	0	96	40.35	34.00	1,493	0	None	21.73	0.54	2.08
Clusters per var	1	9	6.88	8.00	1,747	MAX VALUE	463.19	2.27	0.33	1.83

Dual tree decomposition

Number of clusters: 169
Number of leaves: 13
Tree depth: 18
CIR: 0.03
Independent Cluster Pairs: 390
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/DualTree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 21 184 88.77 85.00 15,002 MAX VALUE 726.75 49.34 0.56 3.26

Variables per cluster 21 22 21.54 22.00 3,640 MAX VALUE 518.76 0.50 0.02 0.69

Separator constraints 0 163 73.23 70.00 12,376 0 None 47.06 0.64 3.20

Separator variables 0 21 20.31 20.00 3,432 0 None 1.76 0.09 0.87

Clusters per variable 1 152 17.50 8.50 3,640 MAX VALUE 441.14 28.83 1.65 2.89

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	21	184	88.77	85.00	15,002	MAX VALUE	726.75	49.34	0.56	3.26
Variables per cluster	21	22	21.54	22.00	3,640	MAX VALUE	518.76	0.50	0.02	0.69
Separator constraints	0	163	73.23	70.00	12,376	0	None	47.06	0.64	3.20
Separator variables	0	21	20.31	20.00	3,432	0	None	1.76	0.09	0.87
Clusters per variable	1	152	17.50	8.50	3,640	MAX VALUE	441.14	28.83	1.65	2.89

Primal graph

Density: 11.23%
MCB compute time (ms): 4,550
MCB cycles: 3,585
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Primal1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.50 0.64 0.55 0.51 139.22 0.00 -154.11 0.06 0.11 1.32

Degree 23 31 28.40 30.00 7,214 MAX VALUE 848.39 3.09 0.11 1.32

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.12 3.00 11,202 MAX VALUE 4,067.12 0.33 0.11 0.38

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.50	0.64	0.55	0.51	139.22	0.00	-154.11	0.06	0.11	1.32
Degree	23	31	28.40	30.00	7,214	MAX VALUE	848.39	3.09	0.11	1.32
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.12	3.00	11,202	MAX VALUE	4,067.12	0.33	0.11	0.38

Triangulated primal graph

Density: 56.04%
MCB compute time (ms): 62,445
MCB cycles: 20,188
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.73 1.00 0.85 0.85 215.62 0.00 -42.81 0.08 0.10 3.30

Degree 23 206 141.79 162.00 36,014 MAX VALUE 1,226.27 55.18 0.39 3.10

Eccentricity None None None None None None None None None None

MCB cycle size 3 3 3.00 3.00 60,564 MAX VALUE 22,178.80 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.73	1.00	0.85	0.85	215.62	0.00	-42.81	0.08	0.10	3.30
Degree	23	206	141.79	162.00	36,014	MAX VALUE	1,226.27	55.18	0.39	3.10
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	60,564	MAX VALUE	22,178.80	0.00	0.00	0.00

Dual graph

Density: 12.20%
MCB compute time (ms): 1,077
MCB cycles: 2,419
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Dual1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.04 0.79 0.67 0.78 138.65 0.00 -124.63 0.25 0.37 1.29

Degree 20 91 25.25 21.00 5,252 MAX VALUE 653.14 15.62 0.62 1.21

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.09 3.00 7,473 MAX VALUE 2,719.68 0.29 0.09 0.30

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.04	0.79	0.67	0.78	138.65	0.00	-124.63	0.25	0.37	1.29
Degree	20	91	25.25	21.00	5,252	MAX VALUE	653.14	15.62	0.62	1.21
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.09	3.00	7,473	MAX VALUE	2,719.68	0.29	0.09	0.30

Minimal dual graph

Density: 2.69%
MCB compute time (ms): 87
MCB cycles: 372

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.00 0.33 0.23 0.20 47.23 0.00 None 0.12 0.51 1.43

Degree 4 14 5.57 4.00 1,158 MAX VALUE 336.42 3.10 0.56 1.20

Eccentricity None None None None None None None None None None

MCB cycle size 3 6 4.38 4.00 1,629 MAX VALUE 531.72 1.34 0.31 1.20

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.23	0.20	47.23	0.00	None	0.12	0.51	1.43
Degree	4	14	5.57	4.00	1,158	MAX VALUE	336.42	3.10	0.56	1.20
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	6	4.38	4.00	1,629	MAX VALUE	531.72	1.34	0.31	1.20

Triangulated dual graph

Density: 18.62%
Triangles: 38,109

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.19 1.00 0.85 0.92 176.85 0.00 -44.92 0.21 0.25 3.45

Degree 20 190 38.54 28.00 8,016 MAX VALUE 721.14 32.71 0.85 2.96

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.19	1.00	0.85	0.92	176.85	0.00	-44.92	0.21	0.25	3.45
Degree	20	190	38.54	28.00	8,016	MAX VALUE	721.14	32.71	0.85	2.96
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 8.26%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.23 1.00 0.80 0.87 166.35 0.00 -54.51 0.20 0.25 2.90

Degree 4 96 17.10 8.00 3,556 MAX VALUE 485.26 19.12 1.12 2.75

Eccentricity None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.23	1.00	0.80	0.87	166.35	0.00	-54.51	0.20	0.25	2.90
Degree	4	96	17.10	8.00	3,556	MAX VALUE	485.26	19.12	1.12	2.75
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 1.59%
MCB compute time (ms): 474
MCB cycles: 1,236
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-13-13-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 3 14 7.35 7.00 3,394 MAX VALUE 842.06 4.12 0.56 1.53

Eccentricity None None None None None None None None None None

MCB cycle size 4 8 4.95 4.00 6,120 MAX VALUE 1,926.43 1.55 0.31 0.82

XCSP 2.1 Benchmarks