
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
Let the function $y = f(x)$, where $x \in \mathbb{R}$, have a derivative denoted by $f'(x)$. It is given that $f(x) = f(-x)$ and $f'(x) < f(x)$. Arrange the following three numbers in ascending order: $e^{f(2)}$, $f(3)$, $e^{2f(-1)}$ (where $e$ is the base of the natural logarithm).

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