code: def test_limited_integrate_reduce():
      DE = DifferentialExtension(
          extension={"D": [Poly(1, x), Poly(1 / x, t)]}
      )
      assert limited_integrate_reduce(
          Poly(x, t), Poly(t**2, t), [(Poly(x, t), Poly(t, t))], DE
      ) == (
          Poly(t, t),
          Poly(-1 / x, t),
          Poly(t, t),
          1,
          (Poly(x, t), Poly(1, t, domain="ZZ[x]")),
          [(Poly(-x * t, t), Poly(1, t, domain="ZZ[x]"))],
      )
  
imports: from sympy.integrals.risch import DifferentialExtension, derivation
  from sympy.integrals.prde import prde_normal_denom, prde_special_denom, prde_linear_constraints, constant_system, prde_spde, prde_no_cancel_b_large, prde_no_cancel_b_small, limited_integrate_reduce, limited_integrate, is_deriv_k, is_log_deriv_k_t_radical, parametric_log_deriv_heu, is_log_deriv_k_t_radical_in_field, param_poly_rischDE, param_rischDE, prde_cancel_liouvillian
  from sympy.polys.polymatrix import PolyMatrix
  from sympy.core.numbers import Rational
  from sympy.core.singleton import S
  from sympy.core.symbol import symbols
  from sympy.polys.domains.rationalfield import QQ
  from sympy.polys.polytools import Poly
  from sympy.abc import x, t, n
label_desc: Use image node_id 10 for calling a global function with example usage: test_limited_integrate_reduce() without return types