XCSP 2.1 Benchmark Database

Instance: normalized-fpga-14-13-ext
Number of variables: 273
Number of constraints: 222
Satisfiable: True
Timestamp: 2025-07-20 22:08:48
Stampede: v1.1.0-239-ge51ee236
Boost: 1.75.0

Component #1

Number of variables: 273
Number of constraints: 222

General features

Coarse blocks: 21,112
Value tables: 287

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

Arity 7 14 8.20 8.00 1,820 MAX VALUE 461.82 2.03 0.25 1.06

Coarse blocks size 1 8,192 155.66 2.00 3,286,280 MAX VALUE 28,255.60 1,064.92 6.84 0.84

Relational linkage 0.00 1.00 0.71 1.00 1,349.00 0.00 -3,150.39 0.44 0.62 1.03

Tightness 0.00 1.00 0.12 0.01 27.23 0.00 -1,073.16 0.32 2.57 1.24

Tuples 8 16,383 1,117.30 127.00 248,041 MAX VALUE 1,135.21 3,808.17 3.41 1.24

Values 2 2 2.00 2.00 546 MAX VALUE 189.23 0.00 0.00 0.00

Value table constraints 3 14 6.98 3.00 2,002 MAX VALUE 476.01 5.24 0.75 0.80

Value table partitions 2 128 6.59 2.00 1,890 MAX VALUE 252.31 21.45 3.26 0.23

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	14	8.20	8.00	1,820	MAX VALUE	461.82	2.03	0.25	1.06
Coarse blocks size	1	8,192	155.66	2.00	3,286,280	MAX VALUE	28,255.60	1,064.92	6.84	0.84
Relational linkage	0.00	1.00	0.71	1.00	1,349.00	0.00	-3,150.39	0.44	0.62	1.03
Tightness	0.00	1.00	0.12	0.01	27.23	0.00	-1,073.16	0.32	2.57	1.24
Tuples	8	16,383	1,117.30	127.00	248,041	MAX VALUE	1,135.21	3,808.17	3.41	1.24
Values	2	2	2.00	2.00	546	MAX VALUE	189.23	0.00	0.00	0.00
Value table constraints	3	14	6.98	3.00	2,002	MAX VALUE	476.01	5.24	0.75	0.80
Value table partitions	2	128	6.59	2.00	1,890	MAX VALUE	252.31	21.45	3.26	0.23

Tree decomposition

Number of clusters: 38
Number of leaves: 14
Tree depth: 5
CIR: 0.06
Independent Cluster Pairs: 42
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Tree1.json

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

Cluster constraints 0 15 6.97 2.00 265 0 None 6.69 0.96 1.36

Variables per cluster 25 134 49.97 37.00 1,899 MAX VALUE 142.55 32.16 0.64 2.26

Separator constraints 0 12 1.13 0.00 43 0 None 2.75 2.43 0.93

Separator variables 0 102 42.79 36.00 1,626 0 None 24.23 0.57 2.22

Clusters per var 1 10 6.96 7.00 1,899 MAX VALUE 501.12 2.32 0.33 1.99

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	15	6.97	2.00	265	0	None	6.69	0.96	1.36
Variables per cluster	25	134	49.97	37.00	1,899	MAX VALUE	142.55	32.16	0.64	2.26
Separator constraints	0	12	1.13	0.00	43	0	None	2.75	2.43	0.93
Separator variables	0	102	42.79	36.00	1,626	0	None	24.23	0.57	2.22
Clusters per var	1	10	6.96	7.00	1,899	MAX VALUE	501.12	2.32	0.33	1.99

Dual tree decomposition

Number of clusters: 182
Number of leaves: 14
Tree depth: 19
CIR: 0.00
Independent Cluster Pairs: 70
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/DualTree1.json

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

Cluster constraints 21 184 88.50 81.50 16,107 MAX VALUE 782.10 49.20 0.56 3.26

Variables per cluster 21 22 21.50 21.50 3,913 MAX VALUE 558.34 0.50 0.02 0.69

Separator constraints 0 163 73.00 67.00 13,286 0 None 46.91 0.64 3.20

Separator variables 0 21 20.28 20.00 3,691 0 None 1.70 0.08 0.87

Clusters per variable 1 174 17.63 8.00 3,913 MAX VALUE 467.15 30.95 1.76 2.84

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	21	184	88.50	81.50	16,107	MAX VALUE	782.10	49.20	0.56	3.26
Variables per cluster	21	22	21.50	21.50	3,913	MAX VALUE	558.34	0.50	0.02	0.69
Separator constraints	0	163	73.00	67.00	13,286	0	None	46.91	0.64	3.20
Separator variables	0	21	20.28	20.00	3,691	0	None	1.70	0.08	0.87
Clusters per variable	1	174	17.63	8.00	3,913	MAX VALUE	467.15	30.95	1.76	2.84

Primal graph

Density: 10.73%
MCB compute time (ms): 6,340
MCB cycles: 3,816
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Primal1.json

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

Clustering coefficient 0.50 0.62 0.54 0.50 146.84 0.00 -170.65 0.05 0.10 1.33

Degree 24 32 29.18 31.00 7,966 MAX VALUE 919.08 3.32 0.11 1.33

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.09 3.00 11,787 MAX VALUE 4,289.83 0.28 0.09 0.30

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.50	0.62	0.54	0.50	146.84	0.00	-170.65	0.05	0.10	1.33
Degree	24	32	29.18	31.00	7,966	MAX VALUE	919.08	3.32	0.11	1.33
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.09	3.00	11,787	MAX VALUE	4,289.83	0.28	0.09	0.30

Triangulated primal graph

Density: 56.61%
MCB compute time (ms): 124,100
MCB cycles: 27,427
Triangles: None

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

Clustering coefficient 0.71 1.00 0.85 0.86 232.35 0.00 -45.38 0.08 0.10 3.45

Degree 24 232 153.97 161.00 42,034 MAX VALUE 1,340.79 59.31 0.39 2.99

Eccentricity None None None None None None None None None None

MCB cycle size 3 3 3.00 3.00 82,281 MAX VALUE 30,131.60 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.71	1.00	0.85	0.86	232.35	0.00	-45.38	0.08	0.10	3.45
Degree	24	232	153.97	161.00	42,034	MAX VALUE	1,340.79	59.31	0.39	2.99
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	3	3.00	3.00	82,281	MAX VALUE	30,131.60	0.00	0.00	0.00

Dual graph

Density: 11.50%
MCB compute time (ms): 801
MCB cycles: 2,600
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Dual1.json

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

Clustering coefficient 0.04 0.79 0.67 0.78 149.09 0.00 -130.82 0.25 0.37 1.24

Degree 20 91 25.41 21.00 5,642 MAX VALUE 697.24 16.50 0.65 1.24

Eccentricity None None None None None None None None None None

MCB cycle size 3 4 3.09 3.00 8,034 MAX VALUE 2,923.71 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	149.09	0.00	-130.82	0.25	0.37	1.24
Degree	20	91	25.41	21.00	5,642	MAX VALUE	697.24	16.50	0.65	1.24
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	4	3.09	3.00	8,034	MAX VALUE	2,923.71	0.29	0.09	0.30

Minimal dual graph

Density: 2.54%
MCB compute time (ms): 61
MCB cycles: 402

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

Clustering coefficient 0.00 0.33 0.23 0.20 51.31 0.00 None 0.11 0.48 1.37

Degree 4 14 5.61 4.00 1,246 MAX VALUE 359.79 3.21 0.57 1.06

Eccentricity None None None None None None None None None None

MCB cycle size 3 6 4.42 4.00 1,776 MAX VALUE 577.08 1.38 0.31 1.03

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	0.33	0.23	0.20	51.31	0.00	None	0.11	0.48	1.37
Degree	4	14	5.61	4.00	1,246	MAX VALUE	359.79	3.21	0.57	1.06
Eccentricity	None	None	None	None	None	None	None	None	None	None
MCB cycle size	3	6	4.42	4.00	1,776	MAX VALUE	577.08	1.38	0.31	1.03

Triangulated dual graph

Density: 17.48%
Triangles: 40,750

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

Clustering coefficient 0.17 1.00 0.85 0.92 189.53 0.00 -47.21 0.21 0.24 3.44

Degree 20 213 38.62 28.00 8,574 MAX VALUE 768.01 34.87 0.90 2.95

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	0.17	1.00	0.85	0.92	189.53	0.00	-47.21	0.21	0.24	3.44
Degree	20	213	38.62	28.00	8,574	MAX VALUE	768.01	34.87	0.90	2.95
Eccentricity	None	None	None	None	None	None	None	None	None	None

Triangulated minimal dual graph

Density: 7.69%

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

Clustering coefficient 0.22 1.00 0.81 0.87 178.75 0.00 -56.80 0.20 0.24 2.79

Degree 4 93 16.99 7.50 3,772 MAX VALUE 513.11 19.80 1.17 2.74

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	0.22	1.00	0.81	0.87	178.75	0.00	-56.80	0.20	0.24	2.79
Degree	4	93	16.99	7.50	3,772	MAX VALUE	513.11	19.80	1.17	2.74
Eccentricity	None	None	None	None	None	None	None	None	None	None

Incidence graph

Density: 1.49%
MCB compute time (ms): 548
MCB cycles: 1,326
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/pseudo-fpgaExtConvert/normalized-fpga-14-13-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 3,640 MAX VALUE 901.92 4.15 0.56 1.44

Eccentricity None None None None None None None None None None

MCB cycle size 4 8 4.96 4.00 6,576 MAX VALUE 2,068.54 1.55 0.31 0.82

XCSP 2.1 Benchmarks