
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 $y=a^{x}+b$ ($b > 0$) is a monotonically increasing function defined on $\mathbb{R}$, and the graph passes through point $P(1,3)$, then the minimum value of $\dfrac {4}{a-1}+ \dfrac {1}{b}$ is \_\_\_\_\_\_.

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