
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 $f(x)=2\sin (\omega x+\varphi)$ $(\omega > 0,|\varphi| < \frac {\pi}{2})$, among the intersection points of the graph of the function and the line $y=1$, the minimum distance between two adjacent intersection points is $\frac {\pi}{3}$. Also, $f(x)\leqslant f(\frac {\pi}{12})$ holds for any real number $x$. Find $\varphi=$ \_\_\_\_\_\_.

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