
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 $f(x) = \begin{cases} 
\log_{2}x & ,x>0 \\
\log_{0.5}(-x) & ,x<0 
\end{cases}$.

(i) Calculate the value of $f(f(- \frac {1}{4}))$.

(ii) If $f(a) > f(-a)$, find the range of the real number $a$.

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