Algebraic Multi-Grid Benchmark

AMG is a parallel algebraic multigrid solver for linear systems arising from problems on unstructured grids. The driver provided with AMG builds linear systems for various 3-dimensional problems.

To run this test with the Phoronix Test Suite, the basic command is: phoronix-test-suite benchmark amg.

Project Site

github.com

Test Created

4 March 2020

Last Updated

10 January 2021

Test Maintainer

Michael Larabel 

Test Type

Processor

Average Install Time

17 Seconds

Average Run Time

10 Minutes, 2 Seconds

Test Dependencies

OpenMPI + C/C++ Compiler Toolchain

Accolades

10k+ Downloads

Supported Platforms


Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page Views ***OpenBenchmarking.orgEventsAlgebraic Multi-Grid Benchmark Popularity Statisticspts/amg2020.032020.042020.052020.062020.072020.082020.092020.102020.112020.122021.012021.022021.032021.042021.052021.062021.072021.082021.092021.102021.112021.122022.012022.022022.032022.042022.052022.062022.072022.082022.092022.102K4K6K8K10K
* Uploading of benchmark result data to OpenBenchmarking.org is always optional (opt-in) via the Phoronix Test Suite for users wishing to share their results publicly.
** Data based on those opting to upload their test results to OpenBenchmarking.org and users enabling the opt-in anonymous statistics reporting while running benchmarks from an Internet-connected platform.
*** Test profile page view reporting began March 2021.
Data current as of 2 October 2022.

Revision History

pts/amg-1.1.0   [View Source]   Sun, 10 Jan 2021 17:31:12 GMT
Increase load for AMG to work better on current CPus.

pts/amg-1.0.1   [View Source]   Wed, 04 Mar 2020 17:09:19 GMT
Correct Environment Size.

pts/amg-1.0.0   [View Source]   Wed, 04 Mar 2020 16:11:57 GMT
Initial commit of AMG benchmark.

Suites Using This Test

HPC - High Performance Computing

Scientific Computing

Linear Algebra

Programmer / Developer System Benchmarks


Performance Metrics

Analyze Test Configuration:

Algebraic Multi-Grid Benchmark 1.2

OpenBenchmarking.org metrics for this test profile configuration based on 1,149 public results since 10 January 2021 with the latest data as of 1 October 2022.

Below is an overview of the generalized performance for components where there is sufficient statistically significant data based upon user-uploaded results. It is important to keep in mind particularly in the Linux/open-source space there can be vastly different OS configurations, with this overview intended to offer just general guidance as to the performance expectations.

Component
Percentile Rank
# Compatible Public Results
Figure Of Merit (Average)
100th
25
2100038597 +/- 44931734
98th
33
2008048202 +/- 25625563
95th
5
1955465000 +/- 10517622
93rd
30
1926190561 +/- 21848515
92nd
26
1922980076 +/- 14859394
90th
3
1901874583 +/- 1009930
90th
4
1892512750 +/- 5335410
89th
3
1885426556 +/- 61290540
88th
16
1742008080 +/- 239061959
87th
4
1669459167 +/- 15294201
87th
6
1663616250 +/- 15971938
87th
9
1629541778 +/- 143975884
86th
3
1593214763 +/- 12854437
83rd
14
1445737090 +/- 7125391
82nd
19
1379815939 +/- 188010789
81st
6
1226897182 +/- 87678589
79th
6
1071124667 +/- 2856167
77th
19
1055785211 +/- 1401797
76th
5
1043166700 +/- 1935108
Mid-Tier
75th
< 1028804667
75th
3
1024430889 +/- 800015
74th
26
1014989062 +/- 6437776
74th
17
1014095726 +/- 129422690
71st
17
976705415 +/- 107448917
71st
3
922654283 +/- 3137451
70th
5
912271088 +/- 6123296
70th
4
893810269 +/- 3122871
69th
5
886573757 +/- 6347207
69th
5
886304293 +/- 7265165
68th
9
871440575 +/- 10980543
68th
11
866093737 +/- 128409000
68th
5
857923043 +/- 2302352
67th
3
841734822 +/- 11904838
66th
5
789214057 +/- 2117962
65th
7
785101715 +/- 96985693
65th
5
780803219 +/- 5240864
65th
4
776464681 +/- 4270427
64th
5
774614677 +/- 692906
64th
3
773379211 +/- 4459587
62nd
12
726813203 +/- 82320421
61st
3
696206914 +/- 2006432
61st
3
692338967 +/- 2328970
60th
3
595098978 +/- 5763872
59th
13
577632687 +/- 13284321
58th
4
554862500 +/- 193303
58th
7
467582571 +/- 31575021
57th
5
458771061 +/- 2047592
57th
5
456856282 +/- 2449945
55th
4
454205625 +/- 2143539
55th
5
450276393 +/- 804835
55th
4
450247615 +/- 19189704
54th
3
433644181 +/- 3444474
54th
6
423616404 +/- 5057540
52nd
6
413444095 +/- 13936785
52nd
4
413356700 +/- 1874057
52nd
4
406450667 +/- 1312887
51st
6
392279944 +/- 8036870
51st
3
388338433 +/- 292900
Median
50th
387234000
50th
6
385855467 +/- 1701089
50th
3
385047113 +/- 109650
49th
4
376904534 +/- 1198020
48th
3
337555800 +/- 32616162
48th
3
333448456 +/- 176310
46th
4
305806100 +/- 25865
46th
3
303879044 +/- 1144788
46th
4
302273333 +/- 3220019
45th
3
294171700 +/- 428397
45th
9
286747338 +/- 27440884
44th
3
282955475 +/- 7057385
43rd
3
275865733 +/- 148574
42nd
4
273494250 +/- 1950922
42nd
14
270465419 +/- 21106004
41st
3
265420089 +/- 666649
39th
4
258903583 +/- 419646
39th
12
258881527 +/- 1460300
39th
4
254573129 +/- 7003656
38th
6
250416592 +/- 20415434
38th
4
249503500 +/- 791478
37th
4
246553900 +/- 716069
36th
3
243082778 +/- 266992
36th
21
239792729 +/- 30405281
36th
3
238986489 +/- 1436438
35th
3
238007622 +/- 162996
35th
4
237986767 +/- 418006
34th
3
237654867 +/- 751457
33rd
3
236390389 +/- 24667
32nd
16
235788385 +/- 1443786
32nd
3
235333311 +/- 2079203
31st
10
233677305 +/- 16761887
31st
4
233163734 +/- 813752
30th
5
227411253 +/- 3603206
29th
4
225793559 +/- 2087175
28th
31
223958030 +/- 31435555
28th
3
223806567 +/- 721385
28th
31
223495337 +/- 12231365
27th
4
220614875 +/- 2185702
27th
6
220091603 +/- 4751741
26th
5
219070386 +/- 1261759
Low-Tier
25th
< 217568133
25th
7
216598900 +/- 2523539
25th
9
216473059 +/- 13476639
22nd
3
209472389 +/- 3603515
21st
6
208040294 +/- 19214752
21st
3
207741622 +/- 440764
21st
3
207690800 +/- 1175834
21st
3
207595755 +/- 322435
20th
3
204743878 +/- 442892
19th
4
203569750 +/- 434216
19th
6
203151184 +/- 6070240
18th
3
197562133 +/- 381888
18th
4
197561633 +/- 312461
17th
3
190316985 +/- 7464124
16th
3
187221278 +/- 241355
16th
3
186625533 +/- 406872
15th
3
183000056 +/- 50045
15th
3
181296100 +/- 1180941
15th
4
180621467 +/- 59054
14th
3
178855800 +/- 428648
14th
3
178081322 +/- 6298317
13th
3
173357211 +/- 42333
12th
3
166479222 +/- 5596840
12th
3
162782978 +/- 124829
12th
3
160379011 +/- 969099
12th
4
160221900 +/- 11434883
11th
3
155193500 +/- 61037
11th
3
151527800 +/- 547494
10th
4
146144883 +/- 129452
10th
3
143393233 +/- 1287809
9th
3
137379311 +/- 65128
9th
3
136876555 +/- 1522236
9th
4
128697217 +/- 2922758
8th
3
126149344 +/- 210413
8th
6
122313606 +/- 124729
7th
3
121560567 +/- 195209
7th
4
118692142 +/- 1767314
6th
3
106164178 +/- 62573
6th
4
104880309 +/- 18136
5th
7
104520074 +/- 8126615
4th
3
82450690 +/- 1173959
3rd
3
74935941 +/- 59160
2nd
3
19946780 +/- 48317
OpenBenchmarking.orgDistribution Of Public Results1118 Results Range From 11598791 To 2287877000 Figure Of Merit11598791571243561026499211481754861937010512392266162847521813302777463758033114213288764668544415123800065579055716034311366489567016944822667400078317855333968310589618765845269221100919676356561013161221105868678611042123511149737916119526348112407890461286314611133184017613773657411422891306146841687115139424361559468001160499356616505191311696044696174157026117870958261832621391187814695619236725211969198086201472365120602492162105774781215130034621968259112242351476228787704150100150200250

Based on OpenBenchmarking.org data, the selected test / test configuration (Algebraic Multi-Grid Benchmark 1.2) has an average run-time of 2 minutes. By default this test profile is set to run at least 3 times but may increase if the standard deviation exceeds pre-defined defaults or other calculations deem additional runs necessary for greater statistical accuracy of the result.

OpenBenchmarking.orgMinutesTime Required To Complete BenchmarkRun-Time816243240Min: 1 / Avg: 1.55 / Max: 40

Based on public OpenBenchmarking.org results, the selected test / test configuration has an average standard deviation of 0.2%.

OpenBenchmarking.orgPercent, Fewer Is BetterAverage Deviation Between RunsDeviation246810Min: 0 / Avg: 0.16 / Max: 4

Does It Scale Well With Increasing Cores?

Yes, based on the automated analysis of the collected public benchmark data, this test / test settings does generally scale well with increasing CPU core counts. Data based on publicly available results for this test / test settings, separated by vendor, result divided by the reference CPU clock speed, grouped by matching physical CPU core count, and normalized against the smallest core count tested from each vendor for each CPU having a sufficient number of test samples and statistically significant data.

AMDIntelOpenBenchmarking.orgRelative Core Scaling To BaseAlgebraic Multi-Grid Benchmark CPU Core Scaling46810121618243248641283691215

Notable Instruction Set Usage

Notable instruction set extensions supported by this test, based on an automatic analysis by the Phoronix Test Suite / OpenBenchmarking.org analytics engine.

Instruction Set
Support
Instructions Detected
SSE2 (SSE2)
Used by default on supported hardware.
 
MOVAPD DIVSD CVTSI2SD MULSD ADDSD SUBSD COMISD CVTTSD2SI UCOMISD XORPD SQRTSD ANDPD MAXSD MINSD CMPLTSD ANDNPD ORPD
Last automated analysis: 17 January 2022

This test profile binary relies on the shared libraries libm.so.6, libmpi.so.40, libgomp.so.1, libc.so.6, libopen-rte.so.40, libopen-pal.so.40, libhwloc.so.15, libz.so.1, libudev.so.1.

Tested CPU Architectures

This benchmark has been successfully tested on the below mentioned architectures. The CPU architectures listed is where successful OpenBenchmarking.org result uploads occurred, namely for helping to determine if a given test is compatible with various alternative CPU architectures.

CPU Architecture
Kernel Identifier
Verified On
Intel / AMD x86 64-bit
x86_64
(Many Processors)
IBM POWER (PowerPC) 64-bit
ppc64le
POWER9 4-Core
Loongson LoongArch 64-bit
loongarch64
Loongson-3A5000LL, Loongson-3C5000L
Intel / AMD x86 32-bit
i686
(Many Processors)
ARMv8 64-bit
aarch64
ARMv8 Cortex-A57 8-Core, ARMv8 Cortex-A72, ARMv8 Cortex-A72 4-Core, ARMv8 Neoverse-N1, ARMv8 Neoverse-N1 80-Core, ARMv8 Neoverse-V1, Ampere ARMv8 Neoverse-N1 128-Core, Ampere ARMv8 Neoverse-N1 160-Core, Ampere ARMv8 Neoverse-N1 256-Core, Ampere Altra ARMv8 Neoverse-N1 160-Core, Ampere Altra ARMv8 Neoverse-N1 80-Core, Ampere eMAG ARMv8 32-Core, Apple M1, Apple M2

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