With boolean operators there is the same issue. '&&' and 'and' operator has higher precedence that '||' and 'or' (check perlop link on my first post). My approach gives accurate results.
Then 'COND1&&COND2||COND3' is the same as '(COND1&&COND2)||COND3':

$ perl parser.pl
COND1&&COND2||COND3
ORIG:
{
          '&&' => [
                    'COND1',
                    {
                      '||' => [
                                'COND2',
                                'COND3'
                              ]
                    }
                  ]
        }
NEW:
{
          '||' => [
                    {
                      '&&' => [
                                'COND1',
                                'COND2'
                              ]
                    },
                    'COND3'
                  ]
        }
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