code: def update_expression_list(self):
          
          self.expression_list = [] # code arrives in dictionary, but is passed in this list
          self.expression_keys = [] # Keep track of the dictionary keys.
          self.expression_order = [] # This may be unecessary. It's to give ordering for cse
          for fname, fexpressions in self.expressions.items():
              for type, texpressions in fexpressions.items():
                  if type == 'function':
                      self.expression_list.append(texpressions)            
                      self.expression_keys.append([fname, type])
                      self.expression_order.append(1) 
                  elif type[-10:] == 'derivative':
                      for dtype, expression in texpressions.items():
                          self.expression_list.append(expression)
                          self.expression_keys.append([fname, type, dtype])
                          if type[:-10] == 'first_' or type[:-10] == '':
                              self.expression_order.append(3) #sym.count_ops(self.expressions[type][dtype]))
                          elif type[:-10] == 'second_':
                              self.expression_order.append(4) #sym.count_ops(self.expressions[type][dtype]))
                          elif type[:-10] == 'third_':
                              self.expression_order.append(5) #sym.count_ops(self.expressions[type][dtype]))
                  else:
                      self.expression_list.append(fexpressions[type])            
                      self.expression_keys.append([fname, type])
                      self.expression_order.append(2) 
  
          # This step may be unecessary.
          # Not 100% sure if the sub expression elimination is order sensitive. This step orders the list with the 'function' code first and derivatives after.
          self.expression_order, self.expression_list, self.expression_keys = zip(*sorted(zip(self.expression_order, self.expression_list, self.expression_keys)))
docs: Extract a list of expressions from the dictionary of expressions.