
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
The function $f(x)=-x^{3}-x+\sin x$, when $\theta \in \left(0, \frac{\pi}{2}\right)$, it holds that $f(\cos^{2}\theta +2m\sin \theta )+f(-2m-2) > 0$ for all $\theta$. Then, determine the range of the real number $m$.

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