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\[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}
double f() {
        double r32583 = 333.75;
        double r32584 = 33096.0;
        double r32585 = 6.0;
        double r32586 = pow(r32584, r32585);
        double r32587 = r32583 * r32586;
        double r32588 = 77617.0;
        double r32589 = r32588 * r32588;
        double r32590 = 11.0;
        double r32591 = r32590 * r32589;
        double r32592 = r32584 * r32584;
        double r32593 = r32591 * r32592;
        double r32594 = -r32586;
        double r32595 = r32593 + r32594;
        double r32596 = -121.0;
        double r32597 = 4.0;
        double r32598 = pow(r32584, r32597);
        double r32599 = r32596 * r32598;
        double r32600 = r32595 + r32599;
        double r32601 = -2.0;
        double r32602 = r32600 + r32601;
        double r32603 = r32589 * r32602;
        double r32604 = r32587 + r32603;
        double r32605 = 5.5;
        double r32606 = 8.0;
        double r32607 = pow(r32584, r32606);
        double r32608 = r32605 * r32607;
        double r32609 = r32604 + r32608;
        double r32610 = 2.0;
        double r32611 = r32610 * r32584;
        double r32612 = r32588 / r32611;
        double r32613 = r32609 + r32612;
        return r32613;
}

Reproduce

herbie shell --seed 2019326 
(FPCore ()
  :name "From Warwick Tucker's Validated Numerics"
  :precision binary64
  (+ (+ (+ (* 333.75 (pow 33096 6)) (* (* 77617 77617) (+ (+ (+ (* (* 11 (* 77617 77617)) (* 33096 33096)) (- (pow 33096 6))) (* -121 (pow 33096 4))) -2))) (* 5.5 (pow 33096 8))) (/ 77617 (* 2 33096))))