
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
Among the following conclusions: \\
(1) The function $y= \sqrt {x^{2}}$ and $y=( \sqrt {x})^{2}$ are the same function; \\
(2) If the domain of the function $f(x-1)$ is $[1,2]$, then the domain of the function $f(3x^{2})$ is $\left[0, \frac { \sqrt {3}}{3}\right]$; \\
(3) The increasing interval of the function $y=\log _{2}(x^{2}+2x-3)$ is $(-1,+\infty)$; \\
The number of correct conclusions is ______.

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