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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 r216197 = 333.75;
        double r216198 = 33096.0;
        double r216199 = 6.0;
        double r216200 = pow(r216198, r216199);
        double r216201 = r216197 * r216200;
        double r216202 = 77617.0;
        double r216203 = r216202 * r216202;
        double r216204 = 11.0;
        double r216205 = r216204 * r216203;
        double r216206 = r216198 * r216198;
        double r216207 = r216205 * r216206;
        double r216208 = -r216200;
        double r216209 = r216207 + r216208;
        double r216210 = -121.0;
        double r216211 = 4.0;
        double r216212 = pow(r216198, r216211);
        double r216213 = r216210 * r216212;
        double r216214 = r216209 + r216213;
        double r216215 = -2.0;
        double r216216 = r216214 + r216215;
        double r216217 = r216203 * r216216;
        double r216218 = r216201 + r216217;
        double r216219 = 5.5;
        double r216220 = 8.0;
        double r216221 = pow(r216198, r216220);
        double r216222 = r216219 * r216221;
        double r216223 = r216218 + r216222;
        double r216224 = 2.0;
        double r216225 = r216224 * r216198;
        double r216226 = r216202 / r216225;
        double r216227 = r216223 + r216226;
        return r216227;
}

Reproduce

herbie shell --seed 2019298 
(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))))