
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 $f(x)=\sin (2x+ \frac {π}{3})+ \sin (2x- \frac {π}{3})+ 2\cos ^{2}x-1$, where $x \in R$
(1) Find the smallest positive period of the function $f(x)$;
(2) Find the interval where the function $f(x)$ is increasing;
(3) Find the range of the function $f(x)$ on the interval $[- \frac {π}{4}, \frac {π}{4}]$.

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