Find common terms in two sympy expressions regardless of coefficients

[AKHCE]

I have a question, and I do highly appreciate your support.
I want to write a script to extract common parts between two algebraic equations. Specifically, the commonality is in structure not their coefficients. Let’s give an example,
Consider each of the equations is sum of some terms: e.g.

eq1 = '2.5*x0*sin(5*x0/(x1 + 1)) + 1.75*cos(x1) - 0.3*x2 + 125'
eq2 = '0.025*x0*sin(2*x0/(x1 + 3)) + 1.75*x1**2 - 0.5*x2 + 0.21' 

I expect the code returns the following commonalities:
(1) c0x0sin(c1x0/(c2x1 + c3))
(2) c4*x2
(3) c4
where ci i = 0, 1, 2, .... are all constants reflecting coefficients.

Thank you so much for your support