code: def __deepcopy__(self, memo):
      replace_inv_root = False
      replace_kernel_mat = False
  
      if hasattr(self, "_cached_kernel_inv_root"):
          replace_inv_root = True
          kernel_inv_root = self._cached_kernel_inv_root
      if hasattr(self, "_cached_kernel_mat"):
          replace_kernel_mat = True
          kernel_mat = self._cached_kernel_mat
  
      cp = self.__class__(
          base_kernel=copy.deepcopy(self.base_kernel),
          inducing_points=copy.deepcopy(self.inducing_points),
          likelihood=self.likelihood,
          active_dims=self.active_dims,
      )
  
      if replace_inv_root:
          cp._cached_kernel_inv_root = kernel_inv_root
  
      if replace_kernel_mat:
          cp._cached_kernel_mat = kernel_mat
  
      return cp
  
imports: import copy
  import math
  from typing import Optional, Tuple
  import torch
  from linear_operator import to_dense
  from linear_operator.operators import DiagLinearOperator, LowRankRootAddedDiagLinearOperator, LowRankRootLinearOperator, MatmulLinearOperator
  from linear_operator.utils.cholesky import psd_safe_cholesky
  from torch import Tensor
  from ..None import settings
  from ..distributions import MultivariateNormal
  from ..likelihoods import Likelihood
  from ..mlls import InducingPointKernelAddedLossTerm
  from ..models import exact_prediction_strategies
  from .kernel import Kernel
label_desc: Use image node_id 9 for calling the InducingPointKernel obj's underlying member method code with example usage: obj.__deepcopy__(memo) and returns: cp