Roger Alexander quoted a formula in fractint.frm
 
GenInvMand_rjr { ; Jm Collard-Richard and rjr 2k03
  c=z=1/pixel+p1:
   z=fn1(z)*fn2(z+p2)+fn3(fn4(c))
    |z|<=4
    ;SOURCE: fractint.frm
}

; Notice that fn3(fn4(c)) is a constant. In a re-entrant function, constant input yields constant output,
; so the formula can be sped up quite a bit like this:
 
GenInvMand_rjr { ; Jm Collard-Richard and rjr 2k03
  z=1/pixel+p1, c=fn3(fn4(z)):
   z=fn1(z)*fn2(z+p2)+c
    |z|<=4
    ;SOURCE: fractint.frm
}