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

15 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/amg2020.032020.042020.052020.062020.072020.082020.092020.102020.112020.122021.012021.022021.032021.042021.052021.062021.072021.082021.092021.102021.112021.122022.012022.022022.032022.042022.052022.062022.072022.082022.092022.102022.112022.122023.012023.022023.032023.042023.052023.062023.072023.082023.092K4K6K8K10K
* 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 27 September 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 1,751 public results since 10 January 2021 with the latest data as of 22 September 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
5
4295199760 +/- 41056407
100th
15
4176358382 +/- 154166103
100th
7
4163476714 +/- 30522303
99th
4
3805841500 +/- 28037861
98th
6
3093550555 +/- 23847250
98th
6
3038345244 +/- 69942171
97th
3
2387103222 +/- 47076756
97th
9
2354324741 +/- 1120325
97th
4
2347293400 +/- 2240800
96th
9
2337237444 +/- 4514678
95th
35
2089010510 +/- 41572981
93rd
8
2060333542 +/- 13860997
92nd
39
2006012444 +/- 24074437
90th
5
1955465000 +/- 10517622
88th
34
1926811140 +/- 20513869
88th
30
1922412089 +/- 13820700
86th
4
1901728813 +/- 874625
85th
6
1898265875 +/- 12917094
85th
5
1889123467 +/- 8876157
85th
3
1885426556 +/- 61290540
84th
19
1769544348 +/- 227817578
84th
4
1756428167 +/- 2684966
82nd
5
1674618933 +/- 17565603
82nd
7
1667683607 +/- 18121518
82nd
6
1658642167 +/- 13757287
81st
9
1629541778 +/- 143975884
81st
4
1616896167 +/- 87180
81st
3
1593214763 +/- 12854437
80th
3
1532822630 +/- 48955518
78th
14
1445737090 +/- 7125391
78th
19
1379815939 +/- 188010789
77th
6
1226897182 +/- 87678589
Mid-Tier
75th
< 1082117000
75th
6
1071124667 +/- 2856167
75th
3
1068506889 +/- 1213398
74th
22
1055753318 +/- 1360749
73rd
6
1043100667 +/- 1738355
73rd
25
1035705000 +/- 110456308
72nd
6
1035442708 +/- 2109099
71st
4
1024661834 +/- 800015
70th
33
1013650660 +/- 7013499
68th
21
983752654 +/- 97252359
68th
3
925721753 +/- 3799415
68th
4
923559988 +/- 3137451
67th
5
912681524 +/- 1630288
67th
5
912271088 +/- 6123296
67th
14
900547436 +/- 131805982
66th
4
893810269 +/- 3122871
66th
5
886573757 +/- 6347207
66th
5
886304293 +/- 7265165
65th
9
871440575 +/- 10980543
65th
5
857923043 +/- 2302352
65th
3
841734822 +/- 11904838
64th
5
789214057 +/- 2117962
63rd
7
785101715 +/- 96985693
63rd
5
780803219 +/- 5240864
63rd
4
776464681 +/- 4270427
63rd
5
774614677 +/- 692906
62nd
3
773379211 +/- 4459587
62nd
3
773162989 +/- 1523877
61st
12
726813203 +/- 82320421
61st
3
696206914 +/- 2006432
60th
3
692338967 +/- 2328970
59th
3
595098978 +/- 5763872
59th
13
577632687 +/- 13284321
58th
4
554862500 +/- 193303
57th
7
467582571 +/- 31575021
57th
5
458771061 +/- 2047592
56th
5
456856282 +/- 2449945
55th
4
454205625 +/- 2143539
55th
5
450276393 +/- 804835
55th
4
450247615 +/- 19189704
55th
16
444150617 +/- 17152032
54th
3
433644181 +/- 3444474
51st
4
413356700 +/- 1874057
51st
19
407755905 +/- 27525562
51st
4
406450667 +/- 1312887
Median
50th
404935867
50th
13
400191197 +/- 30752549
50th
20
396248491 +/- 26615093
50th
10
393335117 +/- 26797084
49th
15
391662358 +/- 31643941
49th
10
389973203 +/- 18467475
48th
9
385626196 +/- 13444224
47th
4
376904534 +/- 1198020
46th
19
374766262 +/- 15149367
46th
7
373618643 +/- 6351894
46th
15
373335356 +/- 14752112
45th
8
366725106 +/- 54258227
44th
14
366316733 +/- 16874437
42nd
4
345373517 +/- 1616034
42nd
4
342263538 +/- 28246425
42nd
3
333448456 +/- 176310
41st
3
308020200 +/- 631319
41st
4
306695325 +/- 1548785
40th
4
305806100 +/- 25865
40th
3
303879044 +/- 1144788
40th
4
302273333 +/- 3220019
39th
3
294171700 +/- 428397
39th
10
285776585 +/- 26053001
38th
3
282955475 +/- 7057385
37th
3
275865733 +/- 148574
37th
4
273494250 +/- 1950922
37th
14
270465419 +/- 21106004
35th
3
265420089 +/- 666649
35th
10
260376920 +/- 14780585
34th
4
259336075 +/- 20258688
34th
4
258903583 +/- 419646
33rd
4
255958823 +/- 26377022
33rd
4
254573129 +/- 7003656
32nd
6
250416592 +/- 20415434
32nd
4
249503500 +/- 791478
31st
4
246553900 +/- 716069
31st
3
243082778 +/- 266992
30th
12
240743986 +/- 5554041
30th
24
240333648 +/- 29618264
30th
24
238727821 +/- 10298232
30th
3
238007622 +/- 162996
30th
4
237986767 +/- 418006
29th
3
237654867 +/- 751457
27th
3
235333311 +/- 2079203
26th
4
233163734 +/- 813752
26th
40
230700224 +/- 18440993
26th
4
229241400 +/- 14297992
26th
3
229130778 +/- 2743104
Low-Tier
25th
< 228505833
25th
6
228039844 +/- 3571727
25th
3
227477644 +/- 679877
24th
4
225793559 +/- 2087175
24th
3
223806567 +/- 721385
23rd
8
222757938 +/- 27025525
23rd
4
220614875 +/- 2185702
23rd
8
220546108 +/- 28283302
23rd
6
220091603 +/- 4751741
23rd
5
219070386 +/- 1261759
22nd
7
216598900 +/- 2523539
22nd
9
216473059 +/- 13476639
19th
3
209472389 +/- 3603515
19th
3
207741622 +/- 440764
19th
3
207595755 +/- 322435
18th
3
204743878 +/- 442892
18th
7
203672024 +/- 5710117
18th
4
203569750 +/- 434216
17th
3
197562133 +/- 381888
16th
5
192786180 +/- 220110
16th
10
191352370 +/- 983967
15th
3
190316985 +/- 7464124
15th
3
187221278 +/- 241355
14th
3
186625533 +/- 406872
14th
3
183000056 +/- 50045
13th
4
180621467 +/- 59054
13th
3
178855800 +/- 428648
13th
3
178081322 +/- 6298317
12th
3
173357211 +/- 42333
12th
5
167142723 +/- 2465353
12th
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
9th
3
137379311 +/- 65128
9th
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
6th
4
104880309 +/- 18136
5th
7
104520074 +/- 8126615
4th
3
82450690 +/- 1173959
3rd
3
74935941 +/- 59160
2nd
3
31463729 +/- 361162
2nd
4
19416307 +/- 1061680
OpenBenchmarking.orgDistribution Of Public Results1750 Results Range From 5399313 To 5438558200 Figure Of Merit53993131140624912227256693313888474400520255487152036573783817660415598747047379833679151092031093120069427113093574491418020627152668380516353469831744010161185267333919613365172069999695217866287322873260512395989229250465240726133155852721978763283064194129393051193047968297315663147532652946533373957831348262100935912841873699947365380861054339172737214025936899413460007742432632554351926433446058961145692527894677915967478657914548952423235003905501511256867952212318575329895035543855821370140210280350

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 0.2%.

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-3A5000, Loongson-3A5000-HV, Loongson-3A5000LL, 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 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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