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

14 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/amg2020.032020.052020.072020.092020.112021.012021.032021.052021.072021.092021.112022.012022.032022.052022.072022.092022.112023.012023.032023.052023.072023.092023.112K4K6K8K10K
* 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 updated weekly as of 29 November 2023.

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 1,833 public results since 10 January 2021 with the latest data as of 1 December 2023.

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
9
4347886215 +/- 550225512
100th
5
4295199760 +/- 41056407
99th
18
4237836874 +/- 198953892
99th
7
4163476714 +/- 30522303
98th
4
3805841500 +/- 28037861
97th
11
3130835576 +/- 46060096
96th
6
2380978278 +/- 30520588
95th
4
2347293400 +/- 2240800
95th
12
2346032556 +/- 15031522
95th
12
2327110750 +/- 18720082
94th
3
2291049667
93rd
35
2089010510 +/- 41572981
92nd
8
2060333542 +/- 13860997
91st
39
2006012444 +/- 24074437
89th
5
1955465000 +/- 10517622
87th
34
1926811140 +/- 20513869
86th
30
1922412089 +/- 13820700
84th
4
1901728813 +/- 874625
84th
6
1898265875 +/- 12917094
84th
5
1889123467 +/- 8876157
84th
3
1885426556 +/- 61290540
83rd
19
1769544348 +/- 227817578
82nd
4
1756428167 +/- 2684966
82nd
6
1696214333 +/- 46068320
81st
5
1674618933 +/- 17565603
81st
7
1667683607 +/- 18121518
81st
6
1658642167 +/- 13757287
80th
9
1629541778 +/- 143975884
79th
8
1614361084 +/- 2710719
79th
3
1593214763 +/- 12854437
79th
3
1532822630 +/- 48955518
77th
14
1445737090 +/- 7125391
76th
19
1379815939 +/- 188010789
Mid-Tier
75th
< 1246138667
75th
6
1226897182 +/- 87678589
74th
6
1071124667 +/- 2856167
73rd
3
1068506889 +/- 1213398
73rd
10
1060855700 +/- 3042450
72nd
22
1055753318 +/- 1360749
71st
6
1043100667 +/- 1738355
71st
25
1035705000 +/- 110456308
71st
6
1035442708 +/- 2109099
70th
4
1024661834 +/- 800015
68th
33
1013650660 +/- 7013499
67th
21
983752654 +/- 97252359
66th
3
925721753 +/- 3799415
66th
4
923559988 +/- 3137451
65th
5
912681524 +/- 1630288
65th
5
912271088 +/- 6123296
65th
14
900547436 +/- 131805982
65th
3
898986778 +/- 989899
64th
4
893810269 +/- 3122871
64th
5
886573757 +/- 6347207
64th
5
886304293 +/- 7265165
63rd
9
871440575 +/- 10980543
63rd
5
857923043 +/- 2302352
63rd
3
841734822 +/- 11904838
62nd
5
789214057 +/- 2117962
61st
7
785101715 +/- 96985693
61st
5
780803219 +/- 5240864
61st
4
776464681 +/- 4270427
61st
5
774614677 +/- 692906
60th
3
773379211 +/- 4459587
60th
3
773162989 +/- 1523877
59th
12
726813203 +/- 82320421
59th
3
696206914 +/- 2006432
59th
3
692338967 +/- 2328970
57th
3
595098978 +/- 5763872
57th
13
577632687 +/- 13284321
56th
4
554862500 +/- 193303
55th
7
467582571 +/- 31575021
55th
5
458771061 +/- 2047592
55th
5
456856282 +/- 2449945
54th
4
454205625 +/- 2143539
53rd
5
450276393 +/- 804835
53rd
4
450247615 +/- 19189704
53rd
16
444150617 +/- 17152032
52nd
3
433644181 +/- 3444474
Median
50th
421885375
49th
4
413356700 +/- 1874057
49th
19
407755905 +/- 27525562
49th
4
406450667 +/- 1312887
49th
13
400191197 +/- 30752549
48th
10
393335117 +/- 26797084
48th
22
393301404 +/- 27155922
48th
15
391662358 +/- 31643941
48th
11
390690270 +/- 17680467
47th
9
385626196 +/- 13444224
45th
4
376904534 +/- 1198020
45th
19
374766262 +/- 15149367
45th
7
373618643 +/- 6351894
44th
15
373335356 +/- 14752112
43rd
8
366725106 +/- 54258227
43rd
14
366316733 +/- 16874437
41st
4
345373517 +/- 1616034
40th
4
342263538 +/- 28246425
40th
3
333448456 +/- 176310
40th
3
308020200 +/- 631319
39th
4
306695325 +/- 1548785
39th
4
305806100 +/- 25865
39th
3
303879044 +/- 1144788
38th
4
302273333 +/- 3220019
38th
3
294171700 +/- 428397
38th
10
285776585 +/- 26053001
37th
3
282955475 +/- 7057385
36th
3
275865733 +/- 148574
36th
4
273494250 +/- 1950922
35th
14
270465419 +/- 21106004
34th
3
265420089 +/- 666649
33rd
10
260376920 +/- 14780585
33rd
4
259336075 +/- 20258688
33rd
4
258903583 +/- 419646
32nd
4
255958823 +/- 26377022
32nd
4
254573129 +/- 7003656
31st
6
250416592 +/- 20415434
31st
4
249503500 +/- 791478
30th
4
246553900 +/- 716069
30th
3
243082778 +/- 266992
29th
12
240743986 +/- 5554041
29th
24
240333648 +/- 29618264
29th
24
238727821 +/- 10298232
29th
3
238007622 +/- 162996
29th
4
237986767 +/- 418006
28th
3
237654867 +/- 751457
27th
3
235333311 +/- 2079203
26th
4
233163734 +/- 813752
Low-Tier
25th
< 232381633
25th
40
230700224 +/- 18440993
25th
4
229241400 +/- 14297992
25th
3
229130778 +/- 2743104
25th
6
228039844 +/- 3571727
25th
3
227477644 +/- 679877
24th
4
225793559 +/- 2087175
23rd
3
223806567 +/- 721385
23rd
8
222757938 +/- 27025525
22nd
4
220614875 +/- 2185702
22nd
8
220546108 +/- 28283302
22nd
6
220091603 +/- 4751741
22nd
5
219070386 +/- 1261759
21st
7
216598900 +/- 2523539
21st
9
216473059 +/- 13476639
19th
3
209472389 +/- 3603515
18th
3
207741622 +/- 440764
18th
3
207595755 +/- 322435
17th
3
204743878 +/- 442892
17th
7
203672024 +/- 5710117
17th
4
203569750 +/- 434216
16th
3
197562133 +/- 381888
16th
5
192786180 +/- 220110
15th
10
191352370 +/- 983967
15th
3
190316985 +/- 7464124
14th
3
187221278 +/- 241355
14th
3
186625533 +/- 406872
13th
3
183000056 +/- 50045
13th
4
180621467 +/- 59054
12th
3
178855800 +/- 428648
12th
3
178081322 +/- 6298317
12th
3
173357211 +/- 42333
11th
5
167142723 +/- 2465353
11th
3
166479222 +/- 5596840
11th
3
162782978 +/- 124829
11th
3
160379011 +/- 969099
11th
4
160221900 +/- 11434883
10th
3
155193500 +/- 61037
10th
3
151527800 +/- 547494
9th
4
146144883 +/- 129452
9th
3
143393233 +/- 1287809
8th
3
137379311 +/- 65128
8th
3
136876555 +/- 1522236
8th
4
128697217 +/- 2922758
8th
3
126149344 +/- 210413
7th
6
122313606 +/- 124729
7th
3
121560567 +/- 195209
7th
4
118692142 +/- 1767314
6th
3
106164178 +/- 62573
5th
4
104880309 +/- 18136
5th
7
104520074 +/- 8126615
4th
3
82450690 +/- 1173959
3rd
3
74935941 +/- 59160
2nd
3
31463729 +/- 361162
2nd
5
19685122 +/- 1098490
OpenBenchmarking.orgDistribution Of Public Results1819 Results Range From 5399313 To 6206059933 Figure Of Merit539931312941252625342573937743895250145216562546537874947859187349180499750501711215182301245531443136954465614935578691617571082174158429518655975081989610721211362393422376371472361650360248566357326096767862733689999285770321229817164253105729638322974285133537560643477769277360178249037257957033849808916397382212940978353424221848555434586176844698749814593888194471790140748419146204965927833508994104652139542595337967472546198068555859938985710007111583402032459580335376082046750620605996390180270360450

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-Time1122334455Min: 1 / Avg: 1.68 / Max: 56

Based on public OpenBenchmarking.org results, the selected test / test configuration has an average standard deviation of 0.1%.

OpenBenchmarking.orgPercent, Fewer Is BetterAverage Deviation Between RunsDeviation246810Min: 0 / Avg: 0.15 / 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 Scaling46810121618243248649612848121620

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-3A5000, Loongson-3A5000-HV, Loongson-3A5000LL, Loongson-3A6000, Loongson-3C5000L
Intel / AMD x86 32-bit
i686
(Many Processors)
ARMv8 64-bit
aarch64
ARMv8 Cortex-A55 4-Core, ARMv8 Cortex-A57 8-Core, ARMv8 Cortex-A72, ARMv8 Cortex-A72 4-Core, ARMv8 Neoverse-N1, ARMv8 Neoverse-N1 128-Core, ARMv8 Neoverse-N1 80-Core, ARMv8 Neoverse-V1, ARMv8 Neoverse-V1 64-Core, 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 M1 Pro, Apple M2, Rockchip ARMv8 Cortex-A72 6-Core, Rockchip ARMv8 Cortex-A76 8-Core

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