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

20k+ Downloads

Supported Platforms


Public Result Uploads *Reported Installs **Reported Test Completions **Test Profile Page Views ***OpenBenchmarking.orgEventsAlgebraic Multi-Grid Benchmark Popularity Statisticspts/amg2020.032020.052020.072020.092020.112021.012021.032021.052021.072021.092021.112022.012022.032022.052022.072022.092022.112023.012023.032023.052023.072023.092023.112024.012024.032024.052K4K6K8K10K
* 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 7 June 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 2,107 public results since 10 January 2021 with the latest data as of 3 June 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
15
4448972173 +/- 439599972
99th
5
4295199760 +/- 41056407
98th
19
4254015424 +/- 205807627
98th
7
4163476714 +/- 30522303
98th
4
3805841500 +/- 28037861
97th
12
3665797805 +/- 69911139
96th
20
3129777433 +/- 38016445
95th
3
3100295222 +/- 2484531
95th
3
2934523250 +/- 83986278
94th
3
2751978867 +/- 104639021
94th
10
2378787433 +/- 22927924
93rd
4
2347293400 +/- 2240800
93rd
13
2344118974 +/- 15959983
92nd
15
2319177578 +/- 23543741
92nd
7
2286564810 +/- 7659352
90th
39
2078694926 +/- 88666899
89th
8
2060333542 +/- 13860997
88th
9
2006307654 +/- 43461621
88th
39
2006012444 +/- 24074437
86th
5
1955465000 +/- 10517622
85th
34
1926811140 +/- 20513869
84th
30
1922412089 +/- 13820700
83rd
4
1901728813 +/- 874625
82nd
6
1898265875 +/- 12917094
82nd
5
1889123467 +/- 8876157
82nd
3
1885426556 +/- 61290540
81st
12
1828456000 +/- 16908238
81st
19
1769544348 +/- 227817578
80th
4
1756428167 +/- 2684966
79th
9
1686991185 +/- 38978069
79th
5
1674618933 +/- 17565603
79th
7
1667683607 +/- 18121518
78th
6
1658642167 +/- 13757287
78th
19
1651081596 +/- 101992233
77th
4
1615399750 +/- 9676909
77th
16
1610420021 +/- 6213893
76th
4
1599463667 +/- 1697795
76th
3
1593214763 +/- 12854437
76th
3
1591542111 +/- 9079603
Mid-Tier
75th
< 1585793250
75th
3
1573718583 +/- 10850144
75th
3
1541901267 +/- 1356311
75th
3
1532822630 +/- 48955518
73rd
14
1445737090 +/- 7125391
73rd
22
1395595856 +/- 178746938
72nd
6
1226897182 +/- 87678589
71st
8
1152834667 +/- 1941482
71st
8
1150494125 +/- 2271037
69th
6
1071124667 +/- 2856167
69th
3
1068506889 +/- 1213398
69th
17
1059962628 +/- 2708935
68th
22
1055753318 +/- 1360749
67th
6
1043100667 +/- 1738355
67th
29
1041520127 +/- 103331528
66th
6
1035442708 +/- 2109099
65th
4
1024661834 +/- 800015
64th
33
1013650660 +/- 7013499
63rd
21
983752654 +/- 97252359
62nd
3
925721753 +/- 3799415
62nd
4
923559988 +/- 3137451
62nd
5
912681524 +/- 1630288
62nd
5
912271088 +/- 6123296
61st
14
900547436 +/- 131805982
61st
4
893810269 +/- 3122871
61st
5
886573757 +/- 6347207
61st
5
886304293 +/- 7265165
61st
4
884772600 +/- 28439843
60th
9
871440575 +/- 10980543
60th
5
857923043 +/- 2302352
59th
3
841734822 +/- 11904838
58th
5
789214057 +/- 2117962
58th
7
788813800 +/- 3032651
58th
7
785101715 +/- 96985693
57th
4
776464681 +/- 4270427
57th
5
774614677 +/- 692906
57th
3
773379211 +/- 4459587
57th
3
773162989 +/- 1523877
56th
7
739766613 +/- 70412636
56th
12
726813203 +/- 82320421
55th
3
696206914 +/- 2006432
55th
5
696205360 +/- 14458194
55th
3
692338967 +/- 2328970
54th
3
595098978 +/- 5763872
54th
13
577632687 +/- 13284321
53rd
4
554862500 +/- 193303
51st
34
485437095 +/- 24632255
51st
7
467582571 +/- 31575021
Median
50th
462851970
50th
5
458771061 +/- 2047592
50th
5
456856282 +/- 2449945
49th
4
454205625 +/- 2143539
49th
5
450276393 +/- 804835
49th
4
450247615 +/- 19189704
49th
3
447645786
48th
16
444150617 +/- 17152032
47th
3
433644181 +/- 3444474
45th
4
413356700 +/- 1874057
45th
19
407755905 +/- 27525562
45th
4
406450667 +/- 1312887
44th
4
404794220
44th
13
400191197 +/- 30752549
44th
12
394799253 +/- 22063221
44th
10
393335117 +/- 26797084
44th
22
393301404 +/- 27155922
43rd
15
391662358 +/- 31643941
42nd
9
385626196 +/- 13444224
41st
4
376904534 +/- 1198020
40th
19
374766262 +/- 15149367
40th
7
373618643 +/- 6351894
40th
15
373335356 +/- 14752112
39th
8
366725106 +/- 54258227
39th
14
366316733 +/- 16874437
36th
3
350297633
36th
4
345373517 +/- 1616034
36th
4
342263538 +/- 28246425
36th
3
333448456 +/- 176310
35th
3
308020200 +/- 631319
35th
4
306695325 +/- 1548785
35th
4
305806100 +/- 25865
34th
3
303879044 +/- 1144788
34th
4
302273333 +/- 3220019
34th
3
294171700 +/- 428397
33rd
10
285776585 +/- 26053001
33rd
3
282955475 +/- 7057385
32nd
3
275865733 +/- 148574
32nd
4
273494250 +/- 1950922
32nd
14
270465419 +/- 21106004
30th
3
265420089 +/- 666649
30th
10
260376920 +/- 14780585
29th
4
259336075 +/- 20258688
29th
4
258903583 +/- 419646
29th
4
255958823 +/- 26377022
29th
4
254573129 +/- 7003656
28th
6
250416592 +/- 20415434
28th
4
249503500 +/- 791478
27th
4
246553900 +/- 716069
26th
3
243082778 +/- 266992
26th
12
240743986 +/- 5554041
26th
24
240333648 +/- 29618264
26th
24
238727821 +/- 10298232
26th
3
238007622 +/- 162996
26th
4
237986767 +/- 418006
Low-Tier
25th
< 237881500
25th
3
237654867 +/- 751457
24th
3
235333311 +/- 2079203
23rd
4
233163734 +/- 813752
22nd
40
230700224 +/- 18440993
22nd
4
229241400 +/- 14297992
22nd
3
229130778 +/- 2743104
22nd
6
228039844 +/- 3571727
22nd
3
227477644 +/- 679877
21st
4
225793559 +/- 2087175
21st
3
223806567 +/- 721385
20th
8
222757938 +/- 27025525
20th
4
220614875 +/- 2185702
20th
8
220546108 +/- 28283302
20th
6
220091603 +/- 4751741
20th
5
219070386 +/- 1261759
19th
7
216598900 +/- 2523539
19th
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
14th
5
192786180 +/- 220110
14th
10
191352370 +/- 983967
13th
3
190316985 +/- 7464124
13th
3
187221278 +/- 241355
13th
3
186625533 +/- 406872
12th
3
183000056 +/- 50045
12th
4
180621467 +/- 59054
11th
3
178855800 +/- 428648
11th
3
178081322 +/- 6298317
11th
3
173357211 +/- 42333
10th
3
168048433 +/- 1460295
10th
5
167142723 +/- 2465353
10th
3
166479222 +/- 5596840
10th
3
162782978 +/- 124829
10th
3
160379011 +/- 969099
10th
4
160221900 +/- 11434883
9th
3
155193500 +/- 61037
9th
3
151527800 +/- 547494
8th
4
146144883 +/- 129452
8th
3
144264567 +/- 1074092
8th
3
143393233 +/- 1287809
8th
3
137379311 +/- 65128
8th
3
136876555 +/- 1522236
7th
4
128697217 +/- 2922758
7th
3
126149344 +/- 210413
7th
6
122313606 +/- 124729
6th
3
121560567 +/- 195209
6th
4
118692142 +/- 1767314
5th
3
106164178 +/- 62573
5th
4
104880309 +/- 18136
5th
7
104520074 +/- 8126615
3rd
3
82450690 +/- 1173959
3rd
3
74935941 +/- 59160
2nd
3
31463729 +/- 361162
2nd
5
19685122 +/- 1098490
OpenBenchmarking.orgDistribution Of Public Results2107 Results Range From 5399313 To 6206059933 Figure Of Merit5399313129412526253425739377438952501452165625465378749478591873491804997505017112151823012455314431369544656149355786916175710821741584295186559750819896107212113623934223763714723616503602485663573260967678627336899992857703212298171642531057296383229742851335375606434777692773601782490372579570338498089163973822129409783534242218485554345861768446987498145938881944717901407484191462049659278335089941046521395425953379674725461980685558599389857100071115834020324595803353760820467506206059963100200300400500

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: 1.64 / 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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