code: def eps_from_mu(*, mu: float, delta: float) -> float:
      """
      Compute epsilon from mu given delta via inverse dual.
  
      Args:
          mu:
          delta:
      """
  
      def f(x):
          """Reversely solve dual by matching delta."""
          return delta_eps_mu(eps=x, mu=mu) - delta
  
      return optimize.root_scalar(
          f, bracket=[0, 500], method="brentq"
      ).root
  
file_path: opacus/opacus/accountants/analysis/gdp.py
imports: import numpy
  from scipy import optimize
  from scipy.stats import norm
label_desc: Use image node_id 4 for calling a global function with example usage: eps_from_mu() and returns: optimize, unknown