
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
Suppose the function $f(x)=2\sin (\omega x+\varphi)$, where $\omega > 0$, $|\varphi| < \frac {\pi}{2}$. The line $x= \frac {5\pi}{8}$ is an axis of symmetry for the graph of $y=f(x)$, and $x= \frac {11\pi}{8}$ is a zero of $f(x)$. Additionally, the smallest positive period of $f(x)$ is greater than $2\pi$. Find the value of $\varphi$.

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