
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 $f(x)=\begin{cases}{{2}^{-x}}, & x < -2 \\ {-{\log }_{\frac{1}{2}}}\left( x+12 \right), & x\geqslant -2 \\\end{cases}$, and $f(a)=4$, then $f(-a)=$ __________.

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