
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 \\(f(x) = \begin{cases} 2e^{x-1}, & x < 2 \\ \log_{3}(x^2 - 1), & x \geqslant 2 \end{cases}\\). Then, the value of \\(f(f(2))\\) is \_\_\_\_\_.

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