I've been rather successful using a simple and efficient
Polish notation (aka: prefix notation) parsing algorithm under which precedence is not an issue. Operators precede their operands, so
1 + {3} * 5 is expressed as
+ 1 * {3} 5.
I've written a relatively light-weight user-extensible token parser based on Polish notation (complete with if/elsif/else, switch/case, try/catch, etc...) which, if nothing else, demonstrates its potential as the basis for a scripting language.
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