> This actually can be solved with SymPy already:
>
> In [1]: var('t')
> Out[1]: t
>
> In [2]: (f(x)+2*x+sin(y+cos(t))).atoms(Function)
> Out[2]: set(cos(t), f(x), sin(y + cos(t)))

In [97]: var('t')
Out[97]: t

In [98]: (f(x)+2*x+sin(y+cos(t))).atoms(Function)
Out[98]: set(f(x), sin(y + cos(t)))

So it can't

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