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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 r39675 = 333.75;
        double r39676 = 33096.0;
        double r39677 = 6.0;
        double r39678 = pow(r39676, r39677);
        double r39679 = r39675 * r39678;
        double r39680 = 77617.0;
        double r39681 = r39680 * r39680;
        double r39682 = 11.0;
        double r39683 = r39682 * r39681;
        double r39684 = r39676 * r39676;
        double r39685 = r39683 * r39684;
        double r39686 = -r39678;
        double r39687 = r39685 + r39686;
        double r39688 = -121.0;
        double r39689 = 4.0;
        double r39690 = pow(r39676, r39689);
        double r39691 = r39688 * r39690;
        double r39692 = r39687 + r39691;
        double r39693 = -2.0;
        double r39694 = r39692 + r39693;
        double r39695 = r39681 * r39694;
        double r39696 = r39679 + r39695;
        double r39697 = 5.5;
        double r39698 = 8.0;
        double r39699 = pow(r39676, r39698);
        double r39700 = r39697 * r39699;
        double r39701 = r39696 + r39700;
        double r39702 = 2.0;
        double r39703 = r39702 * r39676;
        double r39704 = r39680 / r39703;
        double r39705 = r39701 + r39704;
        return r39705;
}

Reproduce

herbie shell --seed 2019304 
(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))))