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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 r41590 = 333.75;
        double r41591 = 33096.0;
        double r41592 = 6.0;
        double r41593 = pow(r41591, r41592);
        double r41594 = r41590 * r41593;
        double r41595 = 77617.0;
        double r41596 = r41595 * r41595;
        double r41597 = 11.0;
        double r41598 = r41597 * r41596;
        double r41599 = r41591 * r41591;
        double r41600 = r41598 * r41599;
        double r41601 = -r41593;
        double r41602 = r41600 + r41601;
        double r41603 = -121.0;
        double r41604 = 4.0;
        double r41605 = pow(r41591, r41604);
        double r41606 = r41603 * r41605;
        double r41607 = r41602 + r41606;
        double r41608 = -2.0;
        double r41609 = r41607 + r41608;
        double r41610 = r41596 * r41609;
        double r41611 = r41594 + r41610;
        double r41612 = 5.5;
        double r41613 = 8.0;
        double r41614 = pow(r41591, r41613);
        double r41615 = r41612 * r41614;
        double r41616 = r41611 + r41615;
        double r41617 = 2.0;
        double r41618 = r41617 * r41591;
        double r41619 = r41595 / r41618;
        double r41620 = r41616 + r41619;
        return r41620;
}

Reproduce

herbie shell --seed 2019323 
(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))))