
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 $f(x)= \begin{cases} \frac {1}{2}x-1 & (x\geqslant 0) \\ \frac {1}{x} & (x < 0)\end{cases}$, find the range of real number $a$ such that $f(a) > a$.

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