
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
From a point $A$ on the $x$-axis, tangents $l_1$ and $l_2$ are drawn to the functions $f(x)=-x^{3}$ and $g(x)= \dfrac {2}{|x^{3}|+x^{3}}$ respectively, which are not horizontal. The tangents $l_1$ and $l_2$ intersect the $y$-axis at points $B$ and $C$ respectively, with $O$ being the origin. Let the area of $\triangle OAB$ be $S_1$ and the area of $\triangle OAC$ be $S_2$. The minimum value of $S_1+S_2$ is \_\_\_\_\_\_.

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