[CP2K-user] geometry optimization takes very long time to calculate the Hessian

Marcella Iannuzzi marci... at gmail.com
Wed Sep 4 07:07:40 UTC 2019


Dear Xiaoming,

Yes it is expected.
Regards
Marcella

On Tuesday, September 3, 2019 at 9:17:17 PM UTC+2, Xiaoming Wang wrote:
>
> Hello,
>
> I am trying to do geo_opt with hybrid functionals and MOLOPT basis. I 
> didn't use ADMM. 
> I know the calculation without ADMM would be very expensive. But it turned 
> out that only
> the first OT step took a longer time, the following steps are relatively 
> cheap. However, 
> between every two ionic steps, it seems to take very long time to 
> calculate the Hessian. 
> Is this expected for the current condition? And is there any way to reduce 
> the time?
>
>
> Here is part of the output:
>
>  OPTIMIZATION STEP:      3
>  --------------------------
>
>  Spin 1
>
>  Number of electrons:                                                      
>   865
>  Number of occupied orbitals:                                              
>   865
>  Number of molecular orbitals:                                            
>    865
>
>  Spin 2
>
>  Number of electrons:                                                      
>   863
>  Number of occupied orbitals:                                              
>   863
>  Number of molecular orbitals:                                            
>    863
>
>  Number of orbital functions:                                              
>  2916
>  Number of independent orbital functions:                                  
>  2916
>
>  Parameters for the always stable predictor-corrector (ASPC) method:
>
>   ASPC order: 1
>
>   B(1) =   2.500000
>   B(2) =  -2.000000
>   B(3) =   0.500000
>
>  Parameters for the always stable predictor-corrector (ASPC) method:
>
>   ASPC order: 1
>
>   B(1) =   2.500000
>   B(2) =  -2.000000
>   B(3) =   0.500000
>
>  Extrapolation method: ASPC
>
>  SCF WAVEFUNCTION OPTIMIZATION
>
>   ----------------------------------- OT 
> ---------------------------------------
>   Allowing for rotations
>   Minimizer      : CG                  : conjugate gradient
>   Preconditioner : FULL_KINETIC        : inversion of T + eS
>   Precond_solver : DEFAULT
>   Line search    : 2PNT                : 2 energies, one gradient
>   stepsize       :    0.15000000                  energy_gap     :    
> 0.00100000
>   eps_taylor     :   0.10000E-15                  max_taylor     :        
>      4
>   ----------------------------------- OT 
> ---------------------------------------
>
>   Step     Update method      Time    Convergence         Total energy    
> Change
>   
> ------------------------------------------------------------------------------
>
>   HFX_MEM_INFO| Est. max. program size before HFX [MiB]:                  
>  18930
>   HFX_MEM_INFO| Number of cart. primitive ERI's calculated:      
>  38624794188272
>   HFX_MEM_INFO| Number of sph. ERI's calculated:                  
>  5756863922070
>   HFX_MEM_INFO| Number of sph. ERI's stored in-core:              
>  5727923021897
>   HFX_MEM_INFO| Number of sph. ERI's stored on disk:                      
>      0
>   HFX_MEM_INFO| Number of sph. ERI's calculated on the fly:                
>     0
>   HFX_MEM_INFO| Total memory consumption ERI's RAM [MiB]:                
> 5164770
>   HFX_MEM_INFO| Whereof max-vals [MiB]:                                    
>  1233
>   HFX_MEM_INFO| Total compression factor ERI's RAM:                        
>  8.46
>   HFX_MEM_INFO| Total memory consumption ERI's disk [MiB]:                
>      0
>   HFX_MEM_INFO| Total compression factor ERI's disk:                      
>   0.00
>   HFX_MEM_INFO| Size of density/Fock matrix [MiB]:                        
>    128
>   HFX_MEM_INFO| Size of buffers [MiB]:                                    
>      2
>   HFX_MEM_INFO| Number of periodic image cells considered:                
>     33
>   HFX_MEM_INFO| Est. max. program size after HFX  [MiB]:                  
>  18871
>
>      1 OT CG       0.15E+00  337.0     0.00012275     -7323.9604751264 
> -7.32E+03
>      2 OT LS       0.77E-01   20.9                    -7323.9605963412
>      3 OT CG       0.77E-01   21.3     0.00005254     -7323.9619119441 
> -1.44E-03
>      4 OT LS       0.69E-01   21.1                    -7323.9621490010
>      5 OT CG       0.69E-01   21.3     0.00003333     -7323.9621521424 
> -2.40E-04
>      6 OT LS       0.65E-01   21.0                    -7323.9622430025
>      7 OT CG       0.65E-01   21.3     0.00001976     -7323.9622432955 
> -9.12E-05
>      8 OT LS       0.58E-01   21.0                    -7323.9622712907
>      9 OT CG       0.58E-01   21.2     0.00001132     -7323.9622717428 
> -2.84E-05
>     10 OT LS       0.68E-01   21.1                    -7323.9622824556
>     11 OT CG       0.68E-01   21.2     0.00000720     -7323.9622826949 
> -1.10E-05
>     12 OT LS       0.73E-01   21.1                    -7323.9622874241
>     13 OT CG       0.73E-01   21.2     0.00000482     -7323.9622874446 
> -4.75E-06
>     14 OT LS       0.82E-01   21.0                    -7323.9622898107
>     15 OT CG       0.82E-01   21.2     0.00000382     -7323.9622898422 
> -2.40E-06
>     16 OT LS       0.73E-01   21.0                    -7323.9622911751
>     17 OT CG       0.73E-01   21.3     0.00000296     -7323.9622911933 
> -1.35E-06
>     18 OT LS       0.81E-01   21.0                    -7323.9622920761
>     19 OT CG       0.81E-01   21.2     0.00000231     -7323.9622920831 
> -8.90E-07
>     20 OT LS       0.93E-01   21.2                    -7323.9622926954
>
>   Leaving inner SCF loop after reaching    20 steps.
>
>   Electronic density on regular grids:      -1727.9999999402        
> 0.0000000598
>   Core density on regular grids:             1727.9999999265      
>  -0.0000000735
>   Total charge density on r-space grids:       -0.0000000137
>   Total charge density g-space grids:          -0.0000000137
>
>   Overlap energy of the core charge distribution:              
>  0.00000000000265
>   Self energy of the core charge distribution:            
>  -14074.58786311355834
>   Core Hamiltonian energy:                                  
>  4408.80717501710569
>   Hartree energy:                                            
> 4095.52826292682403
>   Exchange-correlation energy:                              
>  -671.83062536674151
>   Hartree-Fock Exchange energy:                            
>  -1081.87924215901262
>
>   Total energy:                                            
>  -7323.96229269538162
>
>   outer SCF iter =    1 RMS gradient =   0.23E-05 energy =      
> -7323.9622926954
>
>   ----------------------------------- OT 
> ---------------------------------------
>   Allowing for rotations
>   Minimizer      : CG                  : conjugate gradient
>   Preconditioner : FULL_KINETIC        : inversion of T + eS
>   Precond_solver : DEFAULT
>   Line search    : 2PNT                : 2 energies, one gradient
>   stepsize       :    0.15000000                  energy_gap     :    
> 0.00100000
>   eps_taylor     :   0.10000E-15                  max_taylor     :        
>      4
>   ----------------------------------- OT 
> ---------------------------------------
>
>   Step     Update method      Time    Convergence         Total energy    
> Change
>   
> ------------------------------------------------------------------------------
>      1 OT CG       0.15E+00   43.0     0.00000211     -7323.9622927063 
> -6.23E-07
>      2 OT LS       0.47E-01   20.9                    -7323.9622916813
>      3 OT CG       0.47E-01   21.2     0.00000134     -7323.9622929669 
> -2.61E-07
>      4 OT LS       0.10E+00   21.0                    -7323.9622931292
>      5 OT CG       0.10E+00   21.2     0.00000129     -7323.9622931964 
> -2.29E-07
>      6 OT LS       0.85E-01   21.0                    -7323.9622933660
>      7 OT CG       0.85E-01   21.4     0.00000115     -7323.9622933731 
> -1.77E-07
>      8 OT LS       0.87E-01   21.0                    -7323.9622935183
>      9 OT CG       0.87E-01   21.2     0.00000099     -7323.9622935185 
> -1.45E-07
>
>   *** SCF run converged in     9 steps ***
>
>   Electronic density on regular grids:      -1727.9999999401        
> 0.0000000599
>   Core density on regular grids:             1727.9999999265      
>  -0.0000000735
>   Total charge density on r-space grids:       -0.0000000136
>   Total charge density g-space grids:          -0.0000000136
>
>   Overlap energy of the core charge distribution:              
>  0.00000000000265
>   Self energy of the core charge distribution:            
>  -14074.58786311355834
>   Core Hamiltonian energy:                                  
>  4408.80711518344106
>   Hartree energy:                                            
> 4095.52826732740959
>   Exchange-correlation energy:                              
>  -671.83060828648809
>   Hartree-Fock Exchange energy:                            
>  -1081.87920462925604
>
>   Total energy:                                            
>  -7323.96229351845068
>
>   outer SCF iter =    2 RMS gradient =   0.99E-06 energy =      
> -7323.9622935185
>   outer SCF loop converged in   2 iterations or   29 steps
>
>   Integrated absolute spin density  :                              
>  2.0000037692
>   Ideal and single determinant S**2 :                    2.000000      
>  2.000000
>
>   HFX_MEM_INFO| Number of cart. primitive DERIV's calculated:    
> 171964164039744
>   HFX_MEM_INFO| Number of sph. DERIV's calculated:                
> 39581123230020
>   HFX_MEM_INFO| Number of sph. DERIV's stored in-core:                    
>      0
>   HFX_MEM_INFO| Number of sph. DERIV's calculated on the fly:    
>  39581123230020
>   HFX_MEM_INFO| Total memory consumption DERIV's RAM [MiB]:                
>     0
>   HFX_MEM_INFO| Whereof max-vals [MiB]:                                    
>    16
>   HFX_MEM_INFO| Total compression factor DERIV's RAM:                      
>  0.00
>
>  ENERGY| Total FORCE_EVAL ( QS ) energy (a.u.):            
> -7323.962293636419417
>
>  --------  Informations at step =     3 ------------
>   Optimization Method        =                 BFGS
>   Total Energy               =     -7323.9622936364
>   Real energy change         =        -0.0007083471
>   Predicted change in energy =        -0.0002188809
>   Scaling factor             =         0.0000000000
>   Step size                  =         0.0453787275
>   Trust radius               =         0.4724315332
>   Decrease in energy         =                  YES
>   Used time                  =             2379.563
>
>   Convergence check :
>   Max. step size             =         0.0453787275
>   Conv. limit for step size  =         0.0030000000
>   Convergence in step size   =                   NO
>   RMS step size              =         0.0037943120
>   Conv. limit for RMS step   =         0.0015000000
>   Convergence in RMS step    =                   NO
>   Max. gradient              =         0.0042154388
>   Conv. limit for gradients  =         0.0004500000
>   Conv. for gradients        =                   NO
>   RMS gradient               =         0.0002954283
>   Conv. limit for RMS grad.  =         0.0003000000
>   Conv. in RMS gradients     =                  YES
>  ---------------------------------------------------
>
>  As you see the 'Used time' of each ionic step is much larger than the sum 
> of the OT steps.
>
>
> Here is my input:
>
> &GLOBAL
>   PROJECT_NAME NaCl
>   RUN_TYPE GEO_OPT
>   PRINT_LEVEL MEDIUM
> &END GLOBAL
> &FORCE_EVAL
>   METHOD QS
>   &DFT
>     BASIS_SET_FILE_NAME GTH_BASIS_SETS
>     POTENTIAL_FILE_NAME GTH_POTENTIALS
>     WFN_RESTART_FILE_NAME NaCl-RESTART.wfn
>     ROKS
>     MULTIP 3
>     &QS
>      EPS_PGF_ORB 1.0e-12
>     &END
>     &MGRID
>       CUTOFF 1400
>       REL_CUTOFF 40
>     &END MGRID
>     &XC
>       &XC_FUNCTIONAL PBE0
>       &END XC_FUNCTIONAL
>       &HF
>        &MEMORY
>         MAX_MEMORY 32000
>        &END
>        &SCREENING
>         EPS_SCHWARZ 1.0e-8
>         SCREEN_ON_INITIAL_P TRUE
>        &END
>        &INTERACTION_POTENTIAL
>           POTENTIAL_TYPE TRUNCATED
>           CUTOFF_RADIUS 6.0
>           T_C_G_DATA t_c_g.dat
>         &END
>       &END
>     &END XC
>     &SCF
>       MAX_SCF 20
>       EPS_SCF 1.0e-6
>       CHOLESKY INVERSE
>       SCF_GUESS RESTART
>       &OT
>        ROTATION
>        PRECONDITIONER FULL_KINETIC
>        ENERGY_GAP 0.001
>       &END OT
>       &OUTER_SCF
>        EPS_SCF 1.0e-6
>        MAX_SCF 30
>       &END OUTER_SCF
>     &END SCF
>   &END DFT
>   &SUBSYS
>    &CELL
>       ABC [angstrom] 16.92 16.92 16.92
>       ALPHA_BETA_GAMMA [deg] 90 90 90
>       PERIODIC XYZ
>       SYMMETRY CUBIC
>     &END CELL
>     &TOPOLOGY
>      COORD_FILE_FORMAT XYZ
>      COORD_FILE_NAME 11.xyz
>     &END TOPOLOGY
>     &KIND Na
>       ELEMENT Na
>       BASIS_SET DZVP-GTH
>       POTENTIAL GTH-PBE-q9
>     &END KIND
>     &KIND Cl
>       ELEMENT Cl
>       BASIS_SET DZVP-GTH
>       POTENTIAL GTH-PBE-q7
>     &END KIND
>   &END SUBSYS
> &END FORCE_EVAL
>
>
>
>
> Best,
> Xiaoming 
>
>
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