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Probable maxima idiosyncrasy :

sage: E=2*(1-cos(x))/sqrt(1-cos(x))
sage: E.simplify_full()
-2*(cos(x) - 1)/sqrt(-cos(x) + 1)
sage: (E/2).simplify_full()*2
2*sqrt(-cos(x) + 1)
sage: import sympy
sage: sympy.sympify(E).simplify()._sage_()
2*sqrt(-cos(x) + 1)