
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 $f(x)= \begin{cases}2^{x},x\in[-1,2] \\ 8-2x,x\in(2,4]\end{cases}$, find $f(-\log _{2} \sqrt {3})=$ ________, and if $f(t)\in[0,1]$, find the range of values for the real number $t$ ________.

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