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    #!/usr/bin/env perl
    
    ...
    
        return $value;
    }
    
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    'x + y' and 'y + x' are equivalent.
    ...
    ...
    '(x + y) * (x - y)' and 'x^2 + y^2' are not equivalent.
    ...
    '(x + y) * (x - y)' and 'x^2 - y^2' are equivalent.