
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a function $f(x)$ and its derivative $f'(x)$, if there exists $x_{0}$ such that $f(x_{0}) = f'(x_{0})$, then $x_{0}$ is called a "clever point" of $f(x)$. Among the following four functions: ① $f(x) = x^{2}$; ② $f(x) = e^{-x}$; ③ $f(x) = \ln x$; ④ $f(x) = \tan x$, which functions have "clever points"?

Present the answer in LaTex format: \boxed{Your answer}
user