code: def _kl_independent_mvn(p, q):
      if (
          isinstance(p.base_dist, Delta)
          and p.reinterpreted_batch_ndims == 1
      ):
          return -q.log_prob(p.base_dist.v)
  
      if (
          isinstance(p.base_dist, Normal)
          and p.reinterpreted_batch_ndims == 1
      ):
          dim = q.event_shape[0]
          p_cov = p.base_dist.scale**2
          q_precision = q.precision_matrix.diagonal(dim1=-2, dim2=-1)
          return (
              0.5 * (p_cov * q_precision).sum(-1)
              - 0.5 * dim * (1 + math.log(2 * math.pi))
              - q.log_prob(p.base_dist.loc)
              - p.base_dist.scale.log().sum(-1)
          )
  
      raise NotImplementedError
  
file_path: pyro/pyro/distributions/kl.py
imports: import math
  from torch.distributions import Independent, MultivariateNormal, Normal, kl_divergence, register_kl
  from pyro.distributions.delta import Delta
  from pyro.distributions.distribution import Distribution
  from pyro.distributions.util import sum_rightmost
label_desc: Use image node_id 3 for calling a global function with example usage: _kl_independent_mvn(p, q) and returns: unknown, unknown