code: def isolate(alg, eps=None, fast=False):
      """
      Find a rational isolating interval for a real algebraic number.
  
      Examples
      ========
  
      >>> from sympy import isolate, sqrt, Rational
      >>> print(isolate(sqrt(2)))  # doctest: +SKIP
      (1, 2)
      >>> print(isolate(sqrt(2), eps=Rational(1, 100)))
      (24/17, 17/12)
  
      Parameters
      ==========
  
      alg : str, int, :py:class:`~.Expr`
          The algebraic number to be isolated. Must be a real number, to use this
          particular function. However, see also :py:meth:`.Poly.intervals`,
          which isolates complex roots when you pass ``all=True``.
      eps : positive element of :ref:`QQ`, None, optional (default=None)
          Precision to be passed to :py:meth:`.Poly.refine_root`
      fast : boolean, optional (default=False)
          Say whether fast refinement procedure should be used.
          (Will be passed to :py:meth:`.Poly.refine_root`.)
  
      Returns
      =======
  
      Pair of rational numbers defining an isolating interval for the given
      algebraic number.
  
      See Also
      ========
  
      .Poly.intervals
  
      """
      alg = sympify(alg)
  
      if alg.is_Rational:
          return (alg, alg)
      elif not alg.is_real:
          raise NotImplementedError(
              "complex algebraic numbers are not supported"
          )
  
      func = lambdify(
          (), alg, modules="mpmath", printer=IntervalPrinter()
      )
  
      poly = minpoly(alg, polys=True)
      intervals = poly.intervals(sqf=True)
  
      dps, done = mp.dps, False
  
      try:
          while not done:
              alg = func()
  
              for a, b in intervals:
                  if a <= alg.a and alg.b <= b:
                      done = True
                      break
              else:
                  mp.dps *= 2
      finally:
          mp.dps = dps
  
      if eps is not None:
          a, b = poly.refine_root(a, b, eps=eps, fast=fast)
  
      return (a, b)
  
imports: from sympy.core.sympify import sympify
  from sympy.ntheory.factor_ import factorint
  from sympy.polys.domains.rationalfield import QQ
  from sympy.polys.domains.integerring import ZZ
  from sympy.polys.matrices.exceptions import DMRankError
  from sympy.polys.numberfields.minpoly import minpoly
  from sympy.printing.lambdarepr import IntervalPrinter
  from sympy.utilities.decorator import public
  from sympy.utilities.lambdify import lambdify
  from mpmath import mp
label_desc: Use image node_id 7 for calling a global function with example usage: isolate(alg, eps, fast) and returns: a,  b, alg,  alg