#gaussian-policy

A diagonal Gaussian policy has mean $\mu = (0.5,\ -1)$ and log standard deviations $\log\sigma = (0,\ \ln 2)$ in some state. What is $\log \pi(a \mid s)$ of the action $a = (1.5,\ 1)$? Use $\log\pi = -\tfrac12\left(\sum_i \left[\frac{(a_i-\mu_i)^2}{\sigma_i^2} + 2\log\sigma_i\right] + k\log 2\pi\right)$ and give 3 decimals.