
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 \( f(x) = x^3 + x \), for \( 0 \leqslant \theta \leqslant \frac{\pi}{2} \), if \( f(m \cos \theta) + f(1 - m) > 0 \) always holds, then the range of the real number \( m \) is _______.

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