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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def update_expression_list(self):
 """Extract a list of expressions from the dictionary of expressions."""

        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)))