Difference between revisions of "Overlap eigensystem tests"

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(Created page with '==Eigensystem and inversion test on 24<sup>3</sup> × 64 dynamical configuration== Boundary conditions: 0 = Dirichlet, 1 = Periodic, -1 = Antiperiodic ==='''24<sup>3</sup…')
 
(→‎323×64 DSDR configuration comparison of 1, 2 and 4 time p-HYP smearing kappa = 0.2, B.C=111-1 (Test on Hopper))
 
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==Eigensystem and inversion test on 24<sup>3</sup> &times; 64 dynamical configuration==
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==Eigensystem tests ==
 
Boundary conditions:  0 = Dirichlet, 1 = Periodic, -1 = Antiperiodic
 
Boundary conditions:  0 = Dirichlet, 1 = Periodic, -1 = Antiperiodic
−
 
  
 
==='''24<sup>3</sup> &times; 64 dynamical configuration,  <math>a = 0.114 {\rm fm}</math> '''===
 
==='''24<sup>3</sup> &times; 64 dynamical configuration,  <math>a = 0.114 {\rm fm}</math> '''===
 +
Configuration: rbc_conf_2464_m0.005_0.04_002055_hyp (Domain Wall Action)
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[[File:Hw 2464 compare.png|right|430px]]
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Number of Cores: 1024
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{| class="wikitable" style="text-align: center;"
  
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:* Overlap Eigensystem Calculation
 
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Number of Cores: 1024
 
−
 
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{| class="wikitable" style="text-align: center;"
 
 
! B.C. (x y z t) !! 1 1 1 0 !!  0 1 1 0
 
! B.C. (x y z t) !! 1 1 1 0 !!  0 1 1 0
 
|-
 
|-
Line 24: Line 23:
 
|-
 
|-
 
! # Zero Modes
 
! # Zero Modes
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| 2|| Now Running
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| 2|| 3
 
|-
 
|-
 
! # Overlap Iterations
 
! # Overlap Iterations
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| 6250 || Now Running
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| 6250 || 5950
 
|}
 
|}
  
  
 
==='''32<sup>3</sup> &times; 64 dynamical configuration,  <math>a = 0.085 {\rm fm}</math> '''===
 
==='''32<sup>3</sup> &times; 64 dynamical configuration,  <math>a = 0.085 {\rm fm}</math> '''===
 +
Configuration: rbc_conf_3264_m0.004_0.03_002190_hyp (Domain Wall Action)
  
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:* Overlap Eigensystem Calculation
 
 
Number of Cores: 2048
 
Number of Cores: 2048
  
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==='''32<sup>3</sup> &times; 64 dynamical configuration (new),  <math>a = 0.000 {\rm fm}</math> '''===
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==='''32<sup>3</sup> &times; 64 dynamical configuration (new),  <math>a = ?{\rm fm}</math> '''===
 +
Configuration: rbc_conf_3264_m0.004_0.03_test_hyp (Domain Wall Action)
  
−
:* Overlap Eigensystem Calculation
 
 
Number of Cores: 8192 (But one should resort to only 4096 due to scaling)
 
Number of Cores: 8192 (But one should resort to only 4096 due to scaling)
 
{| class="wikitable" style="text-align: center;"
 
{| class="wikitable" style="text-align: center;"
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==='''28<sup>3</sup> &times; 56 pure gauge configuration,  <math>a = 0.15 {\rm fm}</math> '''===
 
==='''28<sup>3</sup> &times; 56 pure gauge configuration,  <math>a = 0.15 {\rm fm}</math> '''===
 +
Configuration: g282856iw_beta2.34607_194  (Iwasaki Action)
  
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:* Overlap Eigensystem Calculation
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Number of Cores: 1792
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Number of Cores: 8192 (But one should resort to only 4096 due to scaling)
 
 
{| class="wikitable" style="text-align: center;"  
 
{| class="wikitable" style="text-align: center;"  
 
! # nyhp smears !! 1 !! 2 !! 3
 
! # nyhp smears !! 1 !! 2 !! 3
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|-
 
|-
 
! # Overlap Iterations
 
! # Overlap Iterations
−
| 26,158*|| 21,700 || 24,250
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| 26158*|| 21700 || 24250
 
|}
 
|}
  
  
 +
==32<sup>3</sup>&imes;64 DSDR configuration comparison of 1, 2 and 4 time p-HYP smearing kappa = 0.2, B.C=111-1 (Test on Hopper)==
 +
[[File:1hyp.png|420px]] [[File:2hyp.png|420px]] [[File:4hyp.png|420px]]
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===eigensystem===
 +
{| class="wikitable" style="text-align: center"
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!!! 4 smearings on 1024 cores || 1 smearing on 4096 cores || 2 smearing on 4096 cores
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|-
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! # of Hw eigenvectors
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| 100 || 350 || 350
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|-
 +
! largest Hw eigenvalue computed
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|0.2217 || 0.1106 || 0.2012
 +
|-
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! Hw timings
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| 572 sec || 616 sec || 547 sec
 +
|-
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! polynomial order for 10<sup>-10</sup> error
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| 126 || 251 || 139
 +
|-
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! # of D<sub>ov</sub> eigenvectors 10<sup>-8</sup> error
 +
| 613 (pair)|| 613 (pair) || 613 (pair)
 +
|-
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! Chebyshev order/cut
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| 12/0.01 || 12/0.01 || 12/0.01
 +
|-
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! # Arnoldi iterations
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| 2 || 2 || 2
 +
|-
 +
! Timings for overlap convergence
 +
| 12.4 hours || 7.2 hours || 4.2 hours
 +
|-
 +
! Topological charge
 +
| 17.00 || 14.52 || 15.82
 +
|-
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! # of zero modes
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| 17 || 15 || 15
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|-
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! largest eigenvalue of D<sub>ov</sub>
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| +9.09095117521e-03 +1.64894536348e-0 || 6.2930786766e-03 +i 1.3725754329e-01 || 7.0716480399e-03 +i 1.4548173739e-01
 +
|-
 +
|}
 +
 +
==32<sup>3</sup>&times;64 DSDR configuration comparison of 1, 2, and 4 time p-HYP smearing kappa = 0.2, B.C.=111-1 (Test on Hopper)==
 +
===propagator inversions===
 +
ma = 0.0015, 0.0034, 0.0056, 0.01, 0.02, 0.03, 0.06, 0.07, 0.08, 0.09
 +
{| class="wikitable" style="text-align: center"
 +
!!! 4 smearings on 1024 cores || 1 smearing on 1024 cores || 2 smearing on 1024 cores
 +
|-
 +
! # of Hw eigenvectors
 +
| 100 || 350 || 350
 +
|-
 +
! largest Hw eigenvalue computed
 +
|0.2217 || 0.1106 || 0.2012
 +
|-
 +
! polynomial order for 10<sup>-10</sup> error
 +
| 126 || 251 || 139
 +
|-
 +
! # of D<sub>ov</sub> eigenvectors 10<sup>-8</sup> error
 +
| 613 (pair)|| 613 (pair) || 613 (pair)
 +
|-
 +
! convergence criteria
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| 10<sup>-8</sup> || 10<sup>-8</sup> || 10<sup>-8</sup>
 +
|-
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! avg # of iterations per inversion
 +
| 163 || 189 || 180
 +
|-
 +
! total inversions time
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| 0.54 hours || 1.26 hours ||  0.80 hours
 +
|-
 +
|}
 
(* Locking was on during this run, which might have affected the number of iterations. Locking was off for all other runs)
 
(* Locking was on during this run, which might have affected the number of iterations. Locking was off for all other runs)
 +
--

Latest revision as of 16:54, 31 October 2011

Eigensystem tests

Boundary conditions: 0 = Dirichlet, 1 = Periodic, -1 = Antiperiodic

243 × 64 dynamical configuration, \(a = 0.114 {\rm fm}\)

Configuration: rbc_conf_2464_m0.005_0.04_002055_hyp (Domain Wall Action)

Hw 2464 compare.png

Number of Cores: 1024

B.C. (x y z t) 1 1 1 0 0 1 1 0
Hw Eigenvectors # 300 300
Polynomial Order (10-9 error) 226 463
Dov Eigenvectors(pair) # 100 100
Dov Precision 10-7 10-7
# Zero Modes 2 3
# Overlap Iterations 6250 5950


323 × 64 dynamical configuration, \(a = 0.085 {\rm fm}\)

Configuration: rbc_conf_3264_m0.004_0.03_002190_hyp (Domain Wall Action)

Number of Cores: 2048

B.C. (x y z t) 1 1 1 0 1 1 1 -1
Hw Eigenvectors # 300 200
Polynomial Order (10-9 error) 284 118
Dov Eigenvectors(pair) # 100 400
Dov Precision 10-7 10-9
# Zero Modes 7 6
# Overlap Iterations 8500 14200


323 × 64 dynamical configuration (new), \(a = ?{\rm fm}\)

Configuration: rbc_conf_3264_m0.004_0.03_test_hyp (Domain Wall Action)

Number of Cores: 8192 (But one should resort to only 4096 due to scaling)

B.C. (x y z t) 1 1 1 0 1 1 1 -1
Hw Eigenvectors # 400 400
Polynomial Order (10-9 error) 395 215
Dov Eigenvectors(pair) # 100 100
Dov Precision 10-7 10-7
# Zero Modes Not Known 15
# Overlap Iterations Did not converge in 24hrs 34900



283 × 56 pure gauge configuration, \(a = 0.15 {\rm fm}\)

Configuration: g282856iw_beta2.34607_194 (Iwasaki Action)

Number of Cores: 1792

# nyhp smears 1 2 3
B.C. (x y z t) 1 1 1 0 1 1 1 0 1 1 1 0
Hw Eigenvectors # 270 270 270
Polynomial Order (10-9 error) 379 297 256
Dov Eigenvectors(pair) # 100 100 100
Dov Precision 10-7 10-7 10-7
# Zero Modes 10 9 14
# Overlap Iterations 26158* 21700 24250


323&imes;64 DSDR configuration comparison of 1, 2 and 4 time p-HYP smearing kappa = 0.2, B.C=111-1 (Test on Hopper)

1hyp.png 2hyp.png 4hyp.png

eigensystem

4 smearings on 1024 cores 1 smearing on 4096 cores 2 smearing on 4096 cores
# of Hw eigenvectors 100 350 350
largest Hw eigenvalue computed 0.2217 0.1106 0.2012
Hw timings 572 sec 616 sec 547 sec
polynomial order for 10-10 error 126 251 139
# of Dov eigenvectors 10-8 error 613 (pair) 613 (pair) 613 (pair)
Chebyshev order/cut 12/0.01 12/0.01 12/0.01
# Arnoldi iterations 2 2 2
Timings for overlap convergence 12.4 hours 7.2 hours 4.2 hours
Topological charge 17.00 14.52 15.82
# of zero modes 17 15 15
largest eigenvalue of Dov +9.09095117521e-03 +1.64894536348e-0 6.2930786766e-03 +i 1.3725754329e-01 7.0716480399e-03 +i 1.4548173739e-01

323×64 DSDR configuration comparison of 1, 2, and 4 time p-HYP smearing kappa = 0.2, B.C.=111-1 (Test on Hopper)

propagator inversions

ma = 0.0015, 0.0034, 0.0056, 0.01, 0.02, 0.03, 0.06, 0.07, 0.08, 0.09

4 smearings on 1024 cores 1 smearing on 1024 cores 2 smearing on 1024 cores
# of Hw eigenvectors 100 350 350
largest Hw eigenvalue computed 0.2217 0.1106 0.2012
polynomial order for 10-10 error 126 251 139
# of Dov eigenvectors 10-8 error 613 (pair) 613 (pair) 613 (pair)
convergence criteria 10-8 10-8 10-8
avg # of iterations per inversion 163 189 180
total inversions time 0.54 hours 1.26 hours 0.80 hours

(* Locking was on during this run, which might have affected the number of iterations. Locking was off for all other runs) --

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