
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
If the graph of the function $f(x)$ is continuous and unbroken on the interval $(0, +\infty)$, and there is a unique irrational number root $x_0$ in the interval $(2,3)$, then to find the approximate value of $x_0$ with an accuracy of 0.001 using the "bisection method", the function value at the midpoint of the interval needs to be calculated \_\_\_\_\_\_ times.

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