
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
Let the function be defined as $$f(x)= \begin{cases} 2^{x}-3 & \text{if } x<0 \\ \sqrt{x+1} & \text{if } x\geq 0 \end{cases}$$ If $f(a) > 1$, determine the range of real number $a$.

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