Amazon has a huge instance that we can use to run massive memory models.
Here I am creating hypercube (see CM-1 from the 90's). On a normal 64G system like a Haswell 5820K board fully populated with DDR4 we top out at 22 dimensions.
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 3801596 2010941256 64 13396 238792
-/+ buffers/cache: 3549408 2011193444
Swap: 0 0 0
[ec2-user@ip-172-31-57-105 ~]$ java -version
java version "1.7.0_121"
OpenJDK Runtime Environment (amzn-2.6.8.1.69.amzn1-x86_64 u121-b00)
OpenJDK 64-Bit Server VM (build 24.121-b00, mixed mode)
[ec2-user@ip-172-31-57-105 ~]$ sudo yum install java-1.8.0
Loaded plugins: priorities, update-motd, upgrade-helper
amzn-main/latest | 2.1 kB 00:00
amzn-updates/latest | 2.3 kB 00:00
Resolving Dependencies
--> Running transaction check
---> Package java-1.8.0-openjdk.x86_64 1:1.8.0.111-1.b15.25.amzn1 will be installed
--> Processing Dependency: java-1.8.0-openjdk-headless = 1:1.8.0.111-1.b15.25.amzn1 for package: 1:java-1.8.0-openjdk-1.8.0.111-1.b15.25.amzn1.x86_64
--> Running transaction check
---> Package java-1.8.0-openjdk-headless.x86_64 1:1.8.0.111-1.b15.25.amzn1 will be installed
amzn-main/latest/filelists_db | 5.1 MB 00:00
amzn-updates/latest/filelists_db | 1.2 MB 00:00
--> Processing Dependency: lksctp-tools for package: 1:java-1.8.0-openjdk-headless-1.8.0.111-1.b15.25.amzn1.x86_64
--> Running transaction check
---> Package lksctp-tools.x86_64 0:1.0.10-7.7.amzn1 will be installed
--> Finished Dependency Resolution
Dependencies Resolved
=======================================================================================================================================================================
Package Arch Version Repository Size
=======================================================================================================================================================================
Installing:
java-1.8.0-openjdk x86_64 1:1.8.0.111-1.b15.25.amzn1 amzn-updates 227 k
Installing for dependencies:
java-1.8.0-openjdk-headless x86_64 1:1.8.0.111-1.b15.25.amzn1 amzn-updates 39 M
lksctp-tools x86_64 1.0.10-7.7.amzn1 amzn-main 89 k
Transaction Summary
=======================================================================================================================================================================
Install 1 Package (+2 Dependent packages)
Total download size: 39 M
Installed size: 102 M
Is this ok [y/d/N]: y
Downloading packages:
(1/3): java-1.8.0-openjdk-1.8.0.111-1.b15.25.amzn1.x86_64.rpm | 227 kB 00:00
(2/3): java-1.8.0-openjdk-headless-1.8.0.111-1.b15.25.amzn1.x86_64.rpm | 39 MB 00:00
(3/3): lksctp-tools-1.0.10-7.7.amzn1.x86_64.rpm | 89 kB 00:00
-----------------------------------------------------------------------------------------------------------------------------------------------------------------------
Total 48 MB/s | 39 MB 00:00:00
Running transaction check
Running transaction test
Transaction test succeeded
Running transaction
Installing : lksctp-tools-1.0.10-7.7.amzn1.x86_64 1/3
Installing : 1:java-1.8.0-openjdk-headless-1.8.0.111-1.b15.25.amzn1.x86_64 2/3
Installing : 1:java-1.8.0-openjdk-1.8.0.111-1.b15.25.amzn1.x86_64 3/3
Verifying : lksctp-tools-1.0.10-7.7.amzn1.x86_64 1/3
Verifying : 1:java-1.8.0-openjdk-1.8.0.111-1.b15.25.amzn1.x86_64 2/3
Verifying : 1:java-1.8.0-openjdk-headless-1.8.0.111-1.b15.25.amzn1.x86_64 3/3
Installed:
java-1.8.0-openjdk.x86_64 1:1.8.0.111-1.b15.25.amzn1
Dependency Installed:
java-1.8.0-openjdk-headless.x86_64 1:1.8.0.111-1.b15.25.amzn1 lksctp-tools.x86_64 0:1.0.10-7.7.amzn1
Complete!
[ec2-user@ip-172-31-57-105 ~]$ sudo alternatives --config java
There are 2 programs which provide 'java'.
Selection Command
-----------------------------------------------
*+ 1 /usr/lib/jvm/jre-1.7.0-openjdk.x86_64/bin/java
2 /usr/lib/jvm/jre-1.8.0-openjdk.x86_64/bin/java
Enter to keep the current selection[+], or type selection number: 2
[ec2-user@ip-172-31-57-105 ~]$ java -version
openjdk version "1.8.0_111"
OpenJDK Runtime Environment (build 1.8.0_111-b15)
OpenJDK 64-Bit Server VM (build 25.111-b15, mixed mode)
[ec2-user@ip-172-31-57-105 ~]$ java -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 22 1
22 dimensional hypercube: 1480643986605
_created 46137344 bidirectional links between 4194304 routers in the 22 dimensional HyperCube.
47345 time: Total Ram: 8450998272 free: 2292978440
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 20609684 1994133168 68 14064 406412
-/+ buffers/cache: 20189208 1994553644
Swap: 0 0 0
[ec2-user@ip-172-31-57-105 ~]$ java -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 22 2 -server
22 dimensional hypercube: 1480644388217
_created 46137344 bidirectional links between 4194304 routers in the 22 dimensional HyperCube.
43511 time: Total Ram: 8432648192 free: 2267825616
[ec2-user@ip-172-31-57-105 ~]$ java -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 23 1
23 dimensional hypercube: 1480644473000
_created 96468992 bidirectional links between 8388608 routers in the 23 dimensional HyperCube.
140562 time: Total Ram: 18184929280 free: 5885736464
top - 02:09:40 up 2:05, 2 users, load average: 39.26, 21.54, 10.94
Tasks: 730 total, 1 running, 729 sleeping, 0 stopped, 0 zombie
Cpu(s): 62.6%us, 0.3%sy, 0.0%ni, 37.1%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 19851880k used, 1994890972k free, 14168k buffers
Swap: 0k total, 0k used, 0k free, 406416k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
7999 ec2-user 20 0 39.9g 15g 14m S 8058.5 0.8 96:23.57 java
Tasks: 729 total, 2 running, 727 sleeping, 0 stopped, 0 zombie
Cpu(s): 62.8%us, 0.4%sy, 0.0%ni, 36.8%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 32436576k used, 1982306276k free, 14304k buffers
Swap: 0k total, 0k used, 0k free, 406416k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
8226 ec2-user 20 0 39.8g 27g 15m S 8098.1 1.4 255:48.30 java
[vagrant@nsp-latest workspace]$ free
total used free shared buff/cache available
Mem: 7495248 263396 5030584 10720 2201268 6923444
Swap: 1048572 171480 877092
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 33580832 1981162020 68 14372 406416
-/+ buffers/cache: 33160044 1981582808
Swap: 0 0 0
running with extra memory
[ec2-user@ip-172-31-57-105 ~]$ java -Xmx512g -Xms512g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 24 1
24 dimensional hypercube: 1480649540504
_created 201326592 bidirectional links between 16777216 routers in the 24 dimensional HyperCube.
101381 time: Total Ram: 526849671168 free: 471873878864
[ec2-user@ip-172-31-57-105 ~]$ java -Xmx512g -Xms512g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 23 1
23 dimensional hypercube: 1480649699358
_created 96468992 bidirectional links between 8388608 routers in the 23 dimensional HyperCube.
50312 time: Total Ram: 526849671168 free: 496612985560
Cpu(s): 0.6%us, 0.2%sy, 0.0%ni, 99.2%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 52853856k used, 1961888996k free, 18704k buffers
Swap: 0k total, 0k used, 0k free, 436572k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
43697 ec2-user 20 0 538g 46g 14m S 99.9 2.4 1:26.89 java
[ec2-user@ip-172-31-57-105 ~]$ java -Xmx512g -Xms512g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 25 1
25 dimensional hypercube: 1480649786242
_created 419430400 bidirectional links between 33554432 routers in the 25 dimensional HyperCube.
289783 time: Total Ram: 526849671168 free: 397656555744
[ec2-user@ip-172-31-57-105 ~]$ nohup java -Xmx1792g -Xms1792g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 26 1 &
[1] 44231
[ec2-user@ip-172-31-57-105 ~]$ ps -ef | grep java
ec2-user 44231 43947 91 03:55 pts/0 00:00:05 java -Xmx1792g -Xms1792g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 26 1
[ec2-user@ip-172-31-57-105 ~]$ tail -f nohup.out
2 dimensional hypercube: 1480650669281
_created 4 bidirectional links between 4 routers in the 2 dimensional HyperCube.
1 time: Total Ram: 1843972800512 free: 1826792931288
3 dimensional hypercube: 1480650669283
_created 12 bidirectional links between 8 routers in the 3 dimensional HyperCube.
0 time: Total Ram: 1843972800512 free: 1826792931288
4 dimensional hypercube: 1480650669283
_created 32 bidirectional links between 16 routers in the 4 dimensional HyperCube.
0 time: Total Ram: 1843972800512 free: 1826792931288
5 dimensional hypercube: 1480650669283
_created 80 bidirectional links between 32 routers in the 5 dimensional HyperCube.
1 time: Total Ram: 1843972800512 free: 1826792931288
6 dimensional hypercube: 1480650669284
_created 192 bidirectional links between 64 routers in the 6 dimensional HyperCube.
0 time: Total Ram: 1843972800512 free: 1826792931288
7 dimensional hypercube: 1480650669284
_created 448 bidirectional links between 128 routers in the 7 dimensional HyperCube.
1 time: Total Ram: 1843972800512 free: 1826792931288
8 dimensional hypercube: 1480650669286
_created 1024 bidirectional links between 256 routers in the 8 dimensional HyperCube.
1 time: Total Ram: 1843972800512 free: 1826792931288
9 dimensional hypercube: 1480650669287
_created 2304 bidirectional links between 512 routers in the 9 dimensional HyperCube.
1 time: Total Ram: 1843972800512 free: 1826792931288
10 dimensional hypercube: 1480650669288
_created 5120 bidirectional links between 1024 routers in the 10 dimensional HyperCube.
3 time: Total Ram: 1843972800512 free: 1826792931288
11 dimensional hypercube: 1480650669291
_created 11264 bidirectional links between 2048 routers in the 11 dimensional HyperCube.
5 time: Total Ram: 1843972800512 free: 1826792931288
12 dimensional hypercube: 1480650669296
_created 24576 bidirectional links between 4096 routers in the 12 dimensional HyperCube.
10 time: Total Ram: 1843972800512 free: 1826792931288
13 dimensional hypercube: 1480650669306
_created 53248 bidirectional links between 8192 routers in the 13 dimensional HyperCube.
21 time: Total Ram: 1843972800512 free: 1826792931288
14 dimensional hypercube: 1480650669327
_created 114688 bidirectional links between 16384 routers in the 14 dimensional HyperCube.
38 time: Total Ram: 1843972800512 free: 1826792931288
15 dimensional hypercube: 1480650669365
_created 245760 bidirectional links between 32768 routers in the 15 dimensional HyperCube.
82 time: Total Ram: 1843972800512 free: 1826792931288
16 dimensional hypercube: 1480650669447
_created 524288 bidirectional links between 65536 routers in the 16 dimensional HyperCube.
174 time: Total Ram: 1843972800512 free: 1826792931288
17 dimensional hypercube: 1480650669621
_created 1114112 bidirectional links between 131072 routers in the 17 dimensional HyperCube.
384 time: Total Ram: 1843972800512 free: 1826792931288
18 dimensional hypercube: 1480650670005
_created 2359296 bidirectional links between 262144 routers in the 18 dimensional HyperCube.
923 time: Total Ram: 1843972800512 free: 1826792931288
19 dimensional hypercube: 1480650670928
_created 4980736 bidirectional links between 524288 routers in the 19 dimensional HyperCube.
1970 time: Total Ram: 1843972800512 free: 1826792931288
20 dimensional hypercube: 1480650672898
_created 10485760 bidirectional links between 1048576 routers in the 20 dimensional HyperCube.
4677 time: Total Ram: 1843972800512 free: 1826792931288
21 dimensional hypercube: 1480650677576
_created 22020096 bidirectional links between 2097152 routers in the 21 dimensional HyperCube.
9739 time: Total Ram: 1843972800512 free: 1818202996656
22 dimensional hypercube: 1480650687314
_created 46137344 bidirectional links between 4194304 routers in the 22 dimensional HyperCube.
21156 time: Total Ram: 1843972800512 free: 1809613062048
23 dimensional hypercube: 1480650708470
_created 96468992 bidirectional links between 8388608 routers in the 23 dimensional HyperCube.
44953 time: Total Ram: 1843972800512 free: 1783843258176
Tasks: 743 total, 1 running, 742 sleeping, 0 stopped, 0 zombie
Cpu(s): 0.6%us, 0.2%sy, 0.0%ni, 99.2%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 55841328k used, 1958901524k free, 19244k buffers
Swap: 0k total, 0k used, 0k free, 436796k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
44386 ec2-user 20 0 1865g 49g 14m S 100.2 2.6 1:19.67 java
24 dimensional hypercube: 1480651245506
_created 201326592 bidirectional links between 16777216 routers in the 24 dimensional HyperCube.
101306 time: Total Ram: 1843972800512 free: 1732303649872
25 dimensional hypercube: 1480651346812
_created 419430400 bidirectional links between 33554432 routers in the 25 dimensional HyperCube.
264376 time: Total Ram: 1843972800512 free: 1603454628832
Tasks: 742 total, 1 running, 741 sleeping, 0 stopped, 0 zombie
Cpu(s): 0.6%us, 0.2%sy, 0.0%ni, 99.2%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 278517036k used, 1736225816k free, 19408k buffers
Swap: 0k total, 0k used, 0k free, 436796k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
44386 ec2-user 20 0 1865g 261g 15m S 100.2 13.6 8:45.96 java
26 dimensional hypercube: 1480651611188
_created 872415232 bidirectional links between 67108864 routers in the 26 dimensional HyperCube.
656891 time: Total Ram: 1843972800512 free: 1647312996576
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 661273556 1353469296 72 19672 436804
-/+ buffers/cache: 660817080 1353925772
44386 ec2-user 20 0 1865g 625g 15m S 99.9 32.6 82:37.39 java
Cpu(s): 0.8%us, 0.0%sy, 0.0%ni, 99.2%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 1088382060k used, 926360792k free, 19984k buffers
Swap: 0k total, 0k used, 0k free, 436804k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
44386 ec2-user 20 0 1870g 1.0t 15m S 100.2 53.7 313:16.41 java
25 dimensional hypercube: 1480651346812
_created 419430400 bidirectional links between 33554432 routers in the 25 dimensional HyperCube.
264376 time: Total Ram: 1843972800512 free: 1603454628832
26 dimensional hypercube: 1480651611188
_created 872415232 bidirectional links between 67108864 routers in the 26 dimensional HyperCube.
656891 time: Total Ram: 1843972800512 free: 1647312996576
27 dimensional hypercube: 1480652268079
_created 1811939328 bidirectional links between 134217728 routers in the 27 dimensional HyperCube.
1433987 time: Total Ram: 1843972800512 free: 1253174190840
28 dimensional hypercube: 1480653702066
_created 3758096384 bidirectional links between 268435456 routers in the 28 dimensional HyperCube.
4437315 time: Total Ram: 1843972800512 free: 1001914613768
29 dimensional hypercube: 1480658139381
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 1992699228 22043624 64 28708 437000
-/+ buffers/cache: 1992233520 22509332
Swap: 0 0 0
[ec2-user@ip-172-31-57-105 ~]$ ps -ef | grep java
ec2-user 44386 1 99 03:59 ? 18-01:29:52 java -Xmx1792g -Xms1792g -server -cp graph-0.0.1-SNAPSHOT.jar org.obrienscience.ai.HyperCube 26 1
Tasks: 739 total, 1 running, 738 sleeping, 0 stopped, 0 zombie
Cpu(s): 62.6%us, 0.3%sy, 0.0%ni, 37.1%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 1992699740k used, 22043112k free, 28736k buffers
Swap: 0k total, 0k used, 0k free, 437000k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
44386 ec2-user 20 0 1898g 1.8t 15m S 8059.8 98.5 26052:50 java
Cpu(s): 62.6%us, 0.3%sy, 0.0%ni, 37.1%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 1734049420k used, 280693432k free, 32136k buffers
Swap: 0k total, 0k used, 0k free, 437292k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
45667 ec2-user 20 0 1888g 1.6t 14m S 8045.2 85.7 5836:37 java
Tasks: 744 total, 1 running, 743 sleeping, 0 stopped, 0 zombie
Cpu(s): 0.8%us, 0.0%sy, 0.0%ni, 99.2%id, 0.0%wa, 0.0%hi, 0.0%si, 0.0%st
Mem: 2014742852k total, 1971207064k used, 43535788k free, 33936k buffers
Swap: 0k total, 0k used, 0k free, 437308k cached
PID USER PR NI VIRT RES SHR S %CPU %MEM TIME+ COMMAND
45667 ec2-user 20 0 1886g 1.8t 14m S 100.0 97.4 13311:12 java
[ec2-user@ip-172-31-57-105 ~]$ free
total used free shared buffers cached
Mem: 2014742852 1971206692 43536160 64 33944 437308
29 dimensional hypercube: 1480681783260
_created 7784628224 bidirectional links between 536870912 routers in the 29 dimensional HyperCube.
16316219 time: Total Ram: 1843972800512 free: 147852676280
10 min 26d 30g
25 min 27d 75g
75 min 28d 185g
225 min 29d 460g
800 min 30d 1300g