code: def estimate_count(Ms, b):
      m = 1 << b
  
      # Combine one last time
      M = reduce_state(Ms, b)
  
      # Estimate cardinality, no adjustments
      alpha = 0.7213 / (1 + 1.079 / m)
      E = alpha * m / (2.0 ** -(M.astype("f8"))).sum() * m
      #                        ^^^^ starts as unsigned, need a signed type for
      #                             negation operator to do something useful
  
      # Apply adjustments for small / big cardinalities, if applicable
      if E < 2.5 * m:
          V = (M == 0).sum()
          if V:
              return m * np.log(m / V)
      if E > 2**32 / 30.0:
          return -(2**32) * np.log1p(-E / 2**32)
      return E
  
imports: from __future__ import annotations
  import numpy
  import pandas
  from pandas.util import hash_pandas_object
label_desc: Use image node_id 4 for calling a global function with example usage: estimate_count(Ms, b) and returns: E, unknown, unknown