Computation of GIT-semistable model does not terminate

[swewers]

I record here cases where the computation of the GIT-semistable model doesn't terminate in a reasonable time.

sage: from semistable_model.curves.plane_curves_valued import PlaneCurveOverValuedField
sage: R.<x,y,z> = QQ[]
sage: F = 4*x^3*y + 4*y^4 - 4*x^3*z - 8*y^3*z + 9*x^2*z^2 + 10*y*z^3 - 3*z^4
sage: X = PlaneCurveOverValuedField(F, QQ.valuation(3))
sage: X.git_semistable_model()

I aborted this computation after a few hours.