
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 $f(x)=2\sin (\omega x+ \varphi )+1$ $(\omega > 0, |\varphi|\leqslant \frac{\pi }{2})$, the distance between two adjacent intersection points of its graph and the line $y=-1$ is $\pi$. If $f(x) > 1$, it holds true for all $x\in (-\frac{\pi }{12},\frac{\pi }{3})$. Determine the range of $\varphi$.

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