code: def add_res(self, v, lres, bounds=None):
      v = np.ndarray.tolist(v)
      v = tuple(v)
      self.cache[v].x_l = lres.x
      self.cache[v].lres = lres
      self.cache[v].f_min = lres.fun
      self.cache[v].lbounds = bounds
  
      # Update cache size
      self.size += 1
  
      # Cache lists for search queries
      self.v_maps.append(v)
      self.xl_maps.append(lres.x)
      self.f_maps.append(lres.fun)
      self.lbound_maps.append(bounds)
  
imports: import numpy
  import time
  import logging
  import warnings
  from scipy import spatial
  from scipy.optimize import OptimizeResult, minimize
  from scipy.optimize._shgo_lib.triangulation import Complex
label_desc: Use image node_id 3 for calling the LMapCache obj's underlying member method code with example usage: obj.add_res(v, lres, bounds) without return types