var expr1 = '(A+B)*(C+D)-E';

  function stack_push(stack, value) {
    stack.unshift(value);
  }

  function stack_pop(stack) {
    return stack.shift();
  }

  function queue_push(queue, value) {
    queue.push(value);
  }

  function queue_pop(queue, value) {
    return queue.pop();
  }

  function to_revert_polish(expression) {
    var stack = [];
    var queue = [];
    var priorities = {
      '+': 1,
      '-': 1,
      '*': 2,
      '/': 2
    };
    const re_operators = /\+|\-|\*|\//;
    const re_operand = /[a-zA-Z0-9]/;

    expression.split('').forEach((token, index) => {
      if (re_operand.test(token)) {
        queue_push(queue, token);
      } else if (re_operators.test(token)) {
        let stack_top = stack[0];

        if (stack_top !== undefined && priorities[token] <= priorities[stack_top] && stack_top !== '(') {
          while(stack.length > 0) {
            queue_push(queue, stack_pop(stack));
          }
        }

        stack_push(stack, token);
      } else if (token === '(') {
        stack_push(stack, token);
      } else if (token === ')') {
        let stack_top = stack[0];

        while (stack_top !== '(') {
          queue_push(queue, stack_pop(stack));
          stack_top = stack[0];
        }
        stack_pop(stack);
        // if stack is empty and left bracket not found, throw error: parenthesis mismatch
      }
    });

    let stack_top = stack[0];

    while (stack_top !== undefined) {
      queue_push(queue, stack_pop(stack));
      stack_top = stack[0];
    }

    return queue.join('');
  }

  console.log(to_revert_polish(expr1) === 'AB+CD+*E-')