https://gcc.gnu.org/bugzilla/show_bug.cgi?id=98201

Thomas Koenig <tkoenig at gcc dot gnu.org> changed:

           What    |Removed                     |Added
----------------------------------------------------------------------------
             Target|                            |mingw
                 CC|                            |tkoenig at gcc dot gnu.org

--- Comment #1 from Thomas Koenig <tkoenig at gcc dot gnu.org> ---
Here is a slight extension of your program, which also
checks the compile-time simplification. Can you tell me
what it does?

program main
  implicit none
  integer :: i,n
  complex z, sq
  complex, parameter, dimension(9) :: zp = [(-10.**i+(0.,1.),i=1,9)]
  complex, parameter, dimension(9) :: sqp = sqrt(zp)
  write (*,*) "Runtime"
  write (*,*) "         Argument                SquareRoot               SR
squared"
  do n=1,9
     z=-10.**n+(0.,.1)
     sq=csqrt(z)
     write(*,1) z, sq, sq*sq
  end do
  write (*,*) "Compile-time"
  do n=1,9
    write (*,1) zp(n), sqp(n), sqp(n)**2
  end do
1 format(3("(",e10.4,2x,e10.4,")",3x))
end

On my Linux box, it prints

 Runtime
          Argument                SquareRoot               SR squared
(-.1000E+02  0.1000E+00)   (0.1581E-01  0.3162E+01)   (-.1000E+02  0.1000E+00)
(-.1000E+03  0.1000E+00)   (0.5000E-02  0.1000E+02)   (-.1000E+03  0.1000E+00)
(-.1000E+04  0.1000E+00)   (0.1581E-02  0.3162E+02)   (-.1000E+04  0.1000E+00)
(-.1000E+05  0.1000E+00)   (0.5000E-03  0.1000E+03)   (-.1000E+05  0.1000E+00)
(-.1000E+06  0.1000E+00)   (0.1581E-03  0.3162E+03)   (-.1000E+06  0.1000E+00)
(-.1000E+07  0.1000E+00)   (0.5000E-04  0.1000E+04)   (-.1000E+07  0.1000E+00)
(-.1000E+08  0.1000E+00)   (0.1581E-04  0.3162E+04)   (-.1000E+08  0.1000E+00)
(-.1000E+09  0.1000E+00)   (0.5000E-05  0.1000E+05)   (-.1000E+09  0.1000E+00)
(-.1000E+10  0.1000E+00)   (0.1581E-05  0.3162E+05)   (-.1000E+10  0.1000E+00)
 Compile-time
(-.1000E+02  0.1000E+01)   (0.1579E+00  0.3166E+01)   (-.1000E+02  0.1000E+01)
(-.1000E+03  0.1000E+01)   (0.5000E-01  0.1000E+02)   (-.1000E+03  0.1000E+01)
(-.1000E+04  0.1000E+01)   (0.1581E-01  0.3162E+02)   (-.1000E+04  0.1000E+01)
(-.1000E+05  0.1000E+01)   (0.5000E-02  0.1000E+03)   (-.1000E+05  0.1000E+01)
(-.1000E+06  0.1000E+01)   (0.1581E-02  0.3162E+03)   (-.1000E+06  0.1000E+01)
(-.1000E+07  0.1000E+01)   (0.5000E-03  0.1000E+04)   (-.1000E+07  0.1000E+01)
(-.1000E+08  0.1000E+01)   (0.1581E-03  0.3162E+04)   (-.1000E+08  0.1000E+01)
(-.1000E+09  0.1000E+01)   (0.5000E-04  0.1000E+05)   (-.1000E+09  0.1000E+01)
(-.1000E+10  0.1000E+01)   (0.1581E-04  0.3162E+05)   (-.1000E+10  0.1000E+01)

so there is a slight difference in one value, but nothing as
completely wrong as what you show.

What is the output of that program on your system?

And what is the output of "gfortran -v" ?

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