
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
Transform the graph of the function $f(x)= \sqrt {3}\sin x\cos x+\sin ^{2}x$ by keeping the y-coordinates of all points unchanged, changing the x-coordinates to twice their original values, and then shifting the graph to the right along the x-axis by $\dfrac {\pi}{6}$ units to obtain the graph of the function $y=g(x)$. Then, an increasing interval of $y=g(x)$ is $\boxed{____________}$.

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