Average Error: 58.1 → 58.1
Time: 4.0s
Precision: binary64
\[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
↓
\[\left(333.75 \cdot {33096}^{6} + \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right)\right) + \frac{77617}{33096 \cdot 2}\]
\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(333.75 \cdot {33096}^{6} + \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right)\right) + \frac{77617}{33096 \cdot 2}
double code() {
	return ((double) (((double) (((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (11.0 * ((double) (77617.0 * 77617.0)))) * ((double) (33096.0 * 33096.0)))) + ((double) -(((double) pow(33096.0, 6.0)))))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0)))))) + ((double) (5.5 * ((double) pow(33096.0, 8.0)))))) + (77617.0 / ((double) (2.0 * 33096.0)))));
}
↓
double code() {
	return ((double) (((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) cbrt(((double) (((double) (77617.0 * ((double) (77617.0 * ((double) (((double) (33096.0 * ((double) (33096.0 * ((double) (77617.0 * ((double) (77617.0 * 11.0)))))))) + ((double) (((double) (-121.0 * ((double) pow(33096.0, 4.0)))) + ((double) (-2.0 - ((double) pow(33096.0, 6.0)))))))))))) + ((double) (5.5 * ((double) pow(33096.0, 8.0)))))))) * ((double) (((double) cbrt(((double) (((double) (77617.0 * ((double) (77617.0 * ((double) (((double) (33096.0 * ((double) (33096.0 * ((double) (77617.0 * ((double) (77617.0 * 11.0)))))))) + ((double) (((double) (-121.0 * ((double) pow(33096.0, 4.0)))) + ((double) (-2.0 - ((double) pow(33096.0, 6.0)))))))))))) + ((double) (5.5 * ((double) pow(33096.0, 8.0)))))))) * ((double) cbrt(((double) (((double) (77617.0 * ((double) (77617.0 * ((double) (((double) (33096.0 * ((double) (33096.0 * ((double) (77617.0 * ((double) (77617.0 * 11.0)))))))) + ((double) (((double) (-121.0 * ((double) pow(33096.0, 4.0)))) + ((double) (-2.0 - ((double) pow(33096.0, 6.0)))))))))))) + ((double) (5.5 * ((double) pow(33096.0, 8.0)))))))))))))) + (77617.0 / ((double) (33096.0 * 2.0)))));
}

Error

Try it out

Your Program's Arguments

    Results

    Enter valid numbers for all inputs

    Derivation

    1. Initial program 58.1

      \[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
    2. Using strategy rm

    3. Applied associate-+l+58.1

      \[\leadsto \color{blue}{\left(333.75 \cdot {33096}^{6} + \left(\left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right) + 5.5 \cdot {33096}^{8}\right)\right)} + \frac{77617}{2 \cdot 33096}\]

    4. Simplified58.1

      \[\leadsto \left(333.75 \cdot {33096}^{6} + \color{blue}{\left(77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(\left(-121 \cdot {33096}^{4} - {33096}^{6}\right) + -2\right)\right)\right) + 5.5 \cdot {33096}^{8}\right)}\right) + \frac{77617}{2 \cdot 33096}\]
    5. Using strategy rm

    6. Applied add-cube-cbrt58.1

      \[\leadsto \left(333.75 \cdot {33096}^{6} + \color{blue}{\left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(\left(-121 \cdot {33096}^{4} - {33096}^{6}\right) + -2\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(\left(-121 \cdot {33096}^{4} - {33096}^{6}\right) + -2\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right) \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(\left(-121 \cdot {33096}^{4} - {33096}^{6}\right) + -2\right)\right)\right) + 5.5 \cdot {33096}^{8}}}\right) + \frac{77617}{2 \cdot 33096}\]

    7. Simplified58.1

      \[\leadsto \left(333.75 \cdot {33096}^{6} + \color{blue}{\left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right)} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(\left(-121 \cdot {33096}^{4} - {33096}^{6}\right) + -2\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right) + \frac{77617}{2 \cdot 33096}\]

    8. Simplified58.1

      \[\leadsto \left(333.75 \cdot {33096}^{6} + \left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right) \cdot \color{blue}{\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}}\right) + \frac{77617}{2 \cdot 33096}\]

    9. Final simplification58.1

      \[\leadsto \left(333.75 \cdot {33096}^{6} + \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \left(\sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}} \cdot \sqrt[3]{77617 \cdot \left(77617 \cdot \left(33096 \cdot \left(33096 \cdot \left(77617 \cdot \left(77617 \cdot 11\right)\right)\right) + \left(-121 \cdot {33096}^{4} + \left(-2 - {33096}^{6}\right)\right)\right)\right) + 5.5 \cdot {33096}^{8}}\right)\right) + \frac{77617}{33096 \cdot 2}\]

    Reproduce

    herbie shell --seed 2020196 
(FPCore ()
  :name "From Warwick Tucker's Validated Numerics"
  :precision binary64
  (+ (+ (+ (* 333.75 (pow 33096.0 6.0)) (* (* 77617.0 77617.0) (+ (+ (+ (* (* 11.0 (* 77617.0 77617.0)) (* 33096.0 33096.0)) (- (pow 33096.0 6.0))) (* -121.0 (pow 33096.0 4.0))) -2.0))) (* 5.5 (pow 33096.0 8.0))) (/ 77617.0 (* 2.0 33096.0))))