Based on my knowledge of the SymPy codebase and the error message in the issue, I can understand the problem. The issue is in `sympy/polys/polyoptions.py` in the `Domain.preprocess` method. Looking at the traceback and error message: ``` OptionError: expected a valid domain specification, got RR[y,z] ``` The code handles `QQ[...]` (rational polynomial rings) but doesn't handle `RR[...]` (real polynomial rings). Let me generate the patch based on the standard sympy codebase structure. The `Domain.preprocess` method needs to be extended to handle `RR[...]` patterns similar to how it handles `QQ[...]` patterns. --- a/sympy/polys/polyoptions.py +++ b/sympy/polys/polyoptions.py @@ -469,6 +469,12 @@ class Domain(with_metaclass(OptionType, Option)): if ground in ['Z', 'ZZ']: return sympy.polys.domains.ZZ.poly_ring(*gens) + if ground in ['R', 'RR']: + return sympy.polys.domains.RR.poly_ring(*gens) + + if ground in ['C', 'CC']: + return sympy.polys.domains.CC.poly_ring(*gens) + r_polys = cls._re_polynomial.match(domain) if r_polys is not None: @@ -478,6 +484,12 @@ class Domain(with_metaclass(OptionType, Option)): if ground in ['Z', 'ZZ']: return sympy.polys.domains.ZZ.frac_field(*gens) + if ground in ['R', 'RR']: + return sympy.polys.domains.RR.frac_field(*gens) + + if ground in ['C', 'CC']: + return sympy.polys.domains.CC.frac_field(*gens) + r_algebraic = cls._re_algebraic.match(domain) if r_algebraic is not None: