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)
Warning: 
Grid searches over lambda (nugget and sill variances) with  minima at the endpoints: 
  (REML) Restricted maximum likelihood 
   minimum at  right endpoint  lambda  =  0.2767992 (eff. df= 9.499985 )
Testing:   predict sanity check
PASSED test at tolerance  3e-08
Testing:  predict using direct linear algebra
PASSED test at tolerance  1e-08
Testing:  GCV
PASSED test at tolerance  1e-08
Testing:  GCV one
PASSED test at tolerance  1e-08
Testing:  GCV model
PASSED test at tolerance  1e-08
Testing:  Tps/gcv for ozone2
PASSED test at tolerance  5e-04
Testing:  Tps/gcv for ozone2 new data
PASSED test at tolerance  1e-06
done with GCV and REML tests
> 
> proc.time()
   user  system elapsed 
  0.665   0.082   0.733