/* 

  times10 benchmark in Picat v3.

  bench/times10.pl
  https://github.com/SWI-Prolog/bench

  Changes:
  - $ escaped d/3 in times10/0.
  - added output


  This Picat model was created by Hakan Kjellerstrand, hakank@gmail.com
  See also my Picat page: http://www.hakank.org/picat/

*/


main => go.


go ?=>
  top,
  
  nl.

go => true.


% generated: 7 March 1990
% option(s): 
%
%   (deriv) times10
%
%   David H. D. Warren
%
%   symbolic derivative of ((((((((x*x)*x)*x)*x)*x)*x)*x)*x)*x

top:-times10.

times10 :- d($((((((((x*x)*x)*x)*x)*x)*x)*x)*x)*x,x,X), println(X).

d(U+V,X,DU+DV) :- !, 
    d(U,X,DU),
    d(V,X,DV).
d(U-V,X,DU-DV) :- !,
    d(U,X,DU),
    d(V,X,DV).
d(U*V,X,DU*V+U*DV) :- !,
    d(U,X,DU),
    d(V,X,DV).
d(U/V,X,(DU*V-U*DV)/(^(V,2))) :- !,
    d(U,X,DU),
    d(V,X,DV).
d(^(U,N),X,DU*N*(^(U,N1))) :- !, 
    integer(N),
    N1 is N-1,
    d(U,X,DU).
d(-U,X,-DU) :- !,
    d(U,X,DU).
d(exp(U),X,exp(U)*DU) :- !,
    d(U,X,DU).
d(log(U),X,DU/U) :- !,
    d(U,X,DU).
d(X,X,1) :- !.
d(_,_,0).