
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
Shift the graph of the function $f(x)=\sin (2x- \frac {\pi}{3})$ to the left by $\frac {\pi}{3}$, and then compress the horizontal coordinates of each point on the graph to half of their original length, and determine the equation of the resulting graph.

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