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

20k+ Downloads

Supported Platforms


Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page Views ***OpenBenchmarking.orgEventsAlgebraic Multi-Grid Benchmark Popularity Statisticspts/amg2020.032020.052020.072020.092020.112021.012021.032021.052021.072021.092021.112022.012022.032022.052022.072022.092022.112023.012023.032023.052023.072023.092023.112024.012024.032K4K6K8K10K
* 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 21 April 2024.

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 2,016 public results since 10 January 2021 with the latest data as of 24 April 2024.

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
13
4446155380 +/- 474754349
99th
5
4295199760 +/- 41056407
99th
19
4254015424 +/- 205807627
98th
7
4163476714 +/- 30522303
98th
4
3805841500 +/- 28037861
97th
8
3695269708 +/- 68541770
96th
16
3133762667 +/- 41426730
95th
8
2379447042 +/- 25949963
94th
4
2347293400 +/- 2240800
94th
13
2344118974 +/- 15959983
94th
13
2324773820 +/- 19804902
93rd
5
2291049667
92nd
38
2091518685 +/- 40713198
91st
8
2060333542 +/- 13860997
90th
9
2006307654 +/- 43461621
90th
39
2006012444 +/- 24074437
88th
5
1955465000 +/- 10517622
86th
34
1926811140 +/- 20513869
85th
30
1922412089 +/- 13820700
83rd
4
1901728813 +/- 874625
83rd
6
1898265875 +/- 12917094
83rd
5
1889123467 +/- 8876157
83rd
3
1885426556 +/- 61290540
82nd
8
1835096583 +/- 17261638
82nd
19
1769544348 +/- 227817578
81st
4
1756428167 +/- 2684966
80th
9
1686991185 +/- 38978069
80th
5
1674618933 +/- 17565603
80th
7
1667683607 +/- 18121518
79th
6
1658642167 +/- 13757287
79th
19
1651081596 +/- 101992233
78th
13
1612372821 +/- 5000070
77th
3
1593214763 +/- 12854437
77th
3
1532822630 +/- 48955518
Mid-Tier
75th
< 1463268932
75th
14
1445737090 +/- 7125391
75th
22
1395595856 +/- 178746938
73rd
6
1226897182 +/- 87678589
73rd
6
1153762000 +/- 1072076
73rd
6
1151622834 +/- 1051445
71st
6
1071124667 +/- 2856167
71st
3
1068506889 +/- 1213398
70th
17
1059962628 +/- 2708935
69th
22
1055753318 +/- 1360749
69th
6
1043100667 +/- 1738355
69th
28
1040373429 +/- 105039608
68th
6
1035442708 +/- 2109099
67th
4
1024661834 +/- 800015
66th
33
1013650660 +/- 7013499
64th
21
983752654 +/- 97252359
64th
3
925721753 +/- 3799415
64th
4
923559988 +/- 3137451
63rd
5
912681524 +/- 1630288
63rd
5
912271088 +/- 6123296
63rd
14
900547436 +/- 131805982
62nd
4
893810269 +/- 3122871
62nd
5
886573757 +/- 6347207
62nd
5
886304293 +/- 7265165
62nd
4
884772600 +/- 28439843
62nd
9
871440575 +/- 10980543
61st
5
857923043 +/- 2302352
61st
3
841734822 +/- 11904838
60th
5
789214057 +/- 2117962
60th
7
788813800 +/- 3032651
59th
7
785101715 +/- 96985693
59th
4
776464681 +/- 4270427
59th
5
774614677 +/- 692906
58th
3
773379211 +/- 4459587
58th
3
773162989 +/- 1523877
57th
7
739766613 +/- 70412636
57th
12
726813203 +/- 82320421
57th
3
696206914 +/- 2006432
57th
5
696205360 +/- 14458194
57th
3
692338967 +/- 2328970
55th
3
595098978 +/- 5763872
55th
13
577632687 +/- 13284321
54th
4
554862500 +/- 193303
52nd
29
485427231 +/- 26814600
52nd
7
467582571 +/- 31575021
52nd
5
458771061 +/- 2047592
51st
5
456856282 +/- 2449945
Median
50th
454801300
50th
4
454205625 +/- 2143539
50th
5
450276393 +/- 804835
50th
4
450247615 +/- 19189704
50th
3
447645786
50th
16
444150617 +/- 17152032
49th
3
433644181 +/- 3444474
46th
4
413356700 +/- 1874057
46th
19
407755905 +/- 27525562
46th
4
406450667 +/- 1312887
46th
4
404794220
45th
13
400191197 +/- 30752549
45th
12
394799253 +/- 22063221
45th
10
393335117 +/- 26797084
45th
22
393301404 +/- 27155922
44th
15
391662358 +/- 31643941
43rd
9
385626196 +/- 13444224
42nd
4
376904534 +/- 1198020
42nd
19
374766262 +/- 15149367
42nd
7
373618643 +/- 6351894
41st
15
373335356 +/- 14752112
40th
8
366725106 +/- 54258227
40th
14
366316733 +/- 16874437
38th
3
350297633
38th
4
345373517 +/- 1616034
38th
4
342263538 +/- 28246425
37th
3
333448456 +/- 176310
37th
3
308020200 +/- 631319
36th
4
306695325 +/- 1548785
36th
4
305806100 +/- 25865
36th
3
303879044 +/- 1144788
36th
4
302273333 +/- 3220019
35th
3
294171700 +/- 428397
35th
10
285776585 +/- 26053001
34th
3
282955475 +/- 7057385
34th
3
275865733 +/- 148574
33rd
4
273494250 +/- 1950922
33rd
14
270465419 +/- 21106004
31st
3
265420089 +/- 666649
31st
10
260376920 +/- 14780585
30th
4
259336075 +/- 20258688
30th
4
258903583 +/- 419646
30th
4
255958823 +/- 26377022
30th
4
254573129 +/- 7003656
29th
6
250416592 +/- 20415434
29th
4
249503500 +/- 791478
28th
4
246553900 +/- 716069
27th
3
243082778 +/- 266992
27th
12
240743986 +/- 5554041
27th
24
240333648 +/- 29618264
27th
24
238727821 +/- 10298232
27th
3
238007622 +/- 162996
27th
4
237986767 +/- 418006
26th
3
237654867 +/- 751457
Low-Tier
25th
< 236694733
25th
3
235333311 +/- 2079203
24th
4
233163734 +/- 813752
23rd
40
230700224 +/- 18440993
23rd
4
229241400 +/- 14297992
23rd
3
229130778 +/- 2743104
23rd
6
228039844 +/- 3571727
23rd
3
227477644 +/- 679877
22nd
4
225793559 +/- 2087175
22nd
3
223806567 +/- 721385
21st
8
222757938 +/- 27025525
21st
4
220614875 +/- 2185702
21st
8
220546108 +/- 28283302
21st
6
220091603 +/- 4751741
20th
5
219070386 +/- 1261759
20th
7
216598900 +/- 2523539
20th
9
216473059 +/- 13476639
17th
3
209472389 +/- 3603515
17th
3
207741622 +/- 440764
17th
3
207595755 +/- 322435
16th
3
204743878 +/- 442892
16th
7
203672024 +/- 5710117
16th
4
203569750 +/- 434216
15th
3
197562133 +/- 381888
15th
5
192786180 +/- 220110
14th
10
191352370 +/- 983967
14th
3
190316985 +/- 7464124
13th
3
187221278 +/- 241355
13th
3
186625533 +/- 406872
13th
3
183000056 +/- 50045
12th
4
180621467 +/- 59054
12th
3
178855800 +/- 428648
12th
3
178081322 +/- 6298317
11th
3
173357211 +/- 42333
11th
5
167142723 +/- 2465353
11th
3
166479222 +/- 5596840
10th
3
162782978 +/- 124829
10th
3
160379011 +/- 969099
10th
4
160221900 +/- 11434883
9th
3
155193500 +/- 61037
9th
3
151527800 +/- 547494
9th
4
146144883 +/- 129452
8th
3
144264567 +/- 1074092
8th
3
143393233 +/- 1287809
8th
3
137379311 +/- 65128
8th
3
136876555 +/- 1522236
8th
4
128697217 +/- 2922758
7th
3
126149344 +/- 210413
7th
6
122313606 +/- 124729
7th
3
121560567 +/- 195209
6th
4
118692142 +/- 1767314
5th
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 Results2015 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-Time816243240Min: 1 / Avg: 1.65 / 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: 0.17 / 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 Scaling4681012141618243248649612848121620

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, ARMv8 Neoverse-V2 72-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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1 System - 1 Benchmark Result

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1 System - 1 Benchmark Result

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Ubuntu 20.04 - 5.15.0-101-generic - GNOME Shell 3.36.9

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