def analyze_exp_with_user_def_func_eq_sizes(
         self, template: Expression, template_conditions: List,
         expression: Expression,
         analysis: MatchAnalysisReport) -> MatchAnalysisReport:
     if template.compare_func(expression):
         if template.is_commutative():
             return self.analyze_commutative_children_eq_len(
                 template.get_children(), template_conditions,
                 expression.get_children(), analysis)
         else:
             return self.analyze_children_non_commutative_eq_len(
                 template, template_conditions, expression, analysis)
    def analyze_rec(self, template: Expression, template_conditions: List,
                    expression: Expression,
                    analysis: MatchAnalysisReport) -> MatchAnalysisReport:

        if not analysis.expression_match_template:
            return analysis

        # Handle two simpy expressions
        if not template.contains_user_defined_funct(
        ) and not expression.contains_user_defined_funct():
            # TODO: REFACTOR
            conditions = template_conditions.get(
                template.to_expression_string())
            if conditions != None and "IS_CONSTANT" in conditions:
                match = expression.is_constant()
            else:
                match = template.is_equivalent_to(expression)

            analysis = self.build_match_analysis_report(
                match, analysis, template, template_conditions, expression)

        elif template.is_user_defined_func():
            match = template.free_symbols_match(expression)
            analysis = self.build_match_analysis_report(
                match, analysis, template, template_conditions, expression)

        elif not template.compare_func(expression):
            analysis = self.build_match_analysis_report(
                False, analysis, template, template_conditions, expression)

        # Handle non leaves with at least one user defined function
        elif template.children_amount() == expression.children_amount():
            analysis = self.analyze_exp_with_user_def_func_eq_sizes(
                template, template_conditions, expression, analysis)

        # Handle different size children. for example f(x)  = x + x^2
        else:
            analysis = self.analyze_exp_with_user_def_func_diff_sizes(
                template, template_conditions, expression, analysis)

        return analysis