
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 the function $f(x)=\begin{cases} 
1+\log_{2}(2-x), & x < 1 \\
2^{x-1}, & x\geqslant 1 
\end{cases}$, then $f(-6)+f(\log_{2}11)=$ _____.

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