
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 function $f(x)$ ($x \in \mathbb{R}$) is an odd function with a period of $4$, and its expression in the interval $[0,2]$ is $f(x)= \begin{cases} x(1-x), & 0\leqslant x\leqslant 1 \\ \sin \pi x, & 1 < x\leqslant 2\end{cases}$, then $f\left( \dfrac {29}{4}\right)+f\left( \dfrac {41}{6}\right)=$ \_\_\_\_\_\_.

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