R version 4.0.0 (2020-04-24) -- "Arbor Day"
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>  # fields is a package for analysis of spatial data written for
>   # the R software environment .
>   # Copyright (C) 2018
>   # University Corporation for Atmospheric Research (UCAR)
>   # Contact: Douglas Nychka, nychka@ucar.edu,
>   # National Center for Atmospheric Research,
>   # PO Box 3000, Boulder, CO 80307-3000
>   #
>   # This program is free software; you can redistribute it and/or modify
>   # it under the terms of the GNU General Public License as published by
>   # the Free Software Foundation; either version 2 of the License, or
>   # (at your option) any later version.
>   # This program is distributed in the hope that it will be useful,
>   # but WITHOUT ANY WARRANTY; without even the implied warranty of
>   # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
>   # GNU General Public License for more details.
> 
> suppressMessages(library( fields ))
> options( echo=FALSE)
Testing:  Likelihood Values optim and the fast return
PASSED test at tolerance  1e-08
Testing:  Likelihood Values summary and optim
PASSED test at tolerance  1e-08
Testing:  Likelihood Values summary and direct mKrig call
PASSED test at tolerance  1e-08
Testing:  ... and rho.MLE
PASSED test at tolerance  1e-08
Testing:  consistency of Likelihood values
PASSED test at tolerance  1e-08
Testing:  grid search with and w/o profile
PASSED test at tolerance  1e-08
Testing:  crude test of maxmimum
PASSED test at tolerance  1e-08
Testing:  Testing MLESpatialProcess 
PASSED test at tolerance  0.004
Testing:  spatialProcess finding MLE 
PASSED test at tolerance  1e-08
Testing:  spatialProcess given MLE 
PASSED test at tolerance  5e-08
Testing mKrigMLEJoint against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
Testing mKrigMLEJoint  with REML against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
Testing mKrigMLEJoint  with REML FALSE  against true values
PASSED test at tolerance  0.02
PASSED test at tolerance  0.02
PASSED test at tolerance  0.002
lnProfileLike.FULL              theta             lambda           sigmaMLE 
        -32.240000           0.099427           0.099137           0.314600 
            rhoMLE            funEval           gradEval             eff.df 
          0.998380          12.000000          11.000000          19.453000 
               GCV 
       3531.500000 
lnProfileREML.FULL              theta             lambda           sigmaMLE 
        -32.240000           0.099427           0.099137           0.314600 
            rhoMLE            funEval           gradEval             eff.df 
          0.998380          12.000000          11.000000          19.453000 
               GCV 
       3531.500000 
lnProfileLike.FULL              theta             lambda           sigmaMLE 
        -32.240000           0.099420           0.099134           0.314590 
            rhoMLE            funEval           gradEval             eff.df 
          0.998320          12.000000          11.000000          19.658000 
               GCV 
       3807.500000 
1  2   
Testing:  Monte Carlo theta
PASSED test at tolerance  0.006
Testing:  Monte Carlo lambda
PASSED test at tolerance  0.05
all done with mKrigMLEGrid tests
> 
> 
> 
> proc.time()
   user  system elapsed 
  8.270   1.424   8.664