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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 r35699 = 333.75;
        double r35700 = 33096.0;
        double r35701 = 6.0;
        double r35702 = pow(r35700, r35701);
        double r35703 = r35699 * r35702;
        double r35704 = 77617.0;
        double r35705 = r35704 * r35704;
        double r35706 = 11.0;
        double r35707 = r35706 * r35705;
        double r35708 = r35700 * r35700;
        double r35709 = r35707 * r35708;
        double r35710 = -r35702;
        double r35711 = r35709 + r35710;
        double r35712 = -121.0;
        double r35713 = 4.0;
        double r35714 = pow(r35700, r35713);
        double r35715 = r35712 * r35714;
        double r35716 = r35711 + r35715;
        double r35717 = -2.0;
        double r35718 = r35716 + r35717;
        double r35719 = r35705 * r35718;
        double r35720 = r35703 + r35719;
        double r35721 = 5.5;
        double r35722 = 8.0;
        double r35723 = pow(r35700, r35722);
        double r35724 = r35721 * r35723;
        double r35725 = r35720 + r35724;
        double r35726 = 2.0;
        double r35727 = r35726 * r35700;
        double r35728 = r35704 / r35727;
        double r35729 = r35725 + r35728;
        return r35729;
}

Reproduce

herbie shell --seed 2019303 
(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))))