Average Error: 58.1 → 58.1
Time: 6.7s
Precision: binary64
\[\left(\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(11 \cdot \left(77617 \cdot 77617\right)\right) \cdot \left(33096 \cdot 33096\right) + \left(-{33096}^{6}\right)\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot {33096}^{8}\right) + \frac{77617}{2 \cdot 33096}\]
↓
\[\frac{\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) \cdot {\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right)}^{2} + {\left(5.5 \cdot {33096}^{8}\right)}^{3}}{\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) \cdot \left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot \left({33096}^{8} \cdot \left(\left(5.5 \cdot {\left(\left(\sqrt[3]{\sqrt{33096}} \cdot \sqrt[3]{\sqrt{33096}}\right) \cdot \left(\sqrt[3]{\sqrt{33096}} \cdot \sqrt[3]{\sqrt{33096}}\right)\right)}^{8}\right) \cdot {\left(\sqrt[3]{33096}\right)}^{8} - \left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right)\right)\right)} + \frac{77617}{33096 \cdot 2}\]
\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}
↓
\frac{\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) \cdot {\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right)}^{2} + {\left(5.5 \cdot {33096}^{8}\right)}^{3}}{\left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) \cdot \left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right) + 5.5 \cdot \left({33096}^{8} \cdot \left(\left(5.5 \cdot {\left(\left(\sqrt[3]{\sqrt{33096}} \cdot \sqrt[3]{\sqrt{33096}}\right) \cdot \left(\sqrt[3]{\sqrt{33096}} \cdot \sqrt[3]{\sqrt{33096}}\right)\right)}^{8}\right) \cdot {\left(\sqrt[3]{33096}\right)}^{8} - \left(333.75 \cdot {33096}^{6} + \left(77617 \cdot 77617\right) \cdot \left(\left(\left(\left(\left(77617 \cdot 77617\right) \cdot 11\right) \cdot \left(33096 \cdot 33096\right) - {33096}^{6}\right) + -121 \cdot {33096}^{4}\right) + -2\right)\right)\right)\right)} + \frac{77617}{33096 \cdot 2}
(FPCore ()
 :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))))
↓
(FPCore ()
 :precision binary64
 (+
  (/
   (+
    (*
     (+
      (* 333.75 (pow 33096.0 6.0))
      (*
       (* 77617.0 77617.0)
       (+
        (+
         (-
          (* (* (* 77617.0 77617.0) 11.0) (* 33096.0 33096.0))
          (pow 33096.0 6.0))
         (* -121.0 (pow 33096.0 4.0)))
        -2.0)))
     (pow
      (+
       (* 333.75 (pow 33096.0 6.0))
       (*
        (* 77617.0 77617.0)
        (+
         (+
          (-
           (* (* (* 77617.0 77617.0) 11.0) (* 33096.0 33096.0))
           (pow 33096.0 6.0))
          (* -121.0 (pow 33096.0 4.0)))
         -2.0)))
      2.0))
    (pow (* 5.5 (pow 33096.0 8.0)) 3.0))
   (+
    (*
     (+
      (* 333.75 (pow 33096.0 6.0))
      (*
       (* 77617.0 77617.0)
       (+
        (+
         (-
          (* (* (* 77617.0 77617.0) 11.0) (* 33096.0 33096.0))
          (pow 33096.0 6.0))
         (* -121.0 (pow 33096.0 4.0)))
        -2.0)))
     (+
      (* 333.75 (pow 33096.0 6.0))
      (*
       (* 77617.0 77617.0)
       (+
        (+
         (-
          (* (* (* 77617.0 77617.0) 11.0) (* 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)
      (-
       (*
        (*
         5.5
         (pow
          (*
           (* (cbrt (sqrt 33096.0)) (cbrt (sqrt 33096.0)))
           (* (cbrt (sqrt 33096.0)) (cbrt (sqrt 33096.0))))
          8.0))
        (pow (cbrt 33096.0) 8.0))
       (+
        (* 333.75 (pow 33096.0 6.0))
        (*
         (* 77617.0 77617.0)
         (+
          (+
           (-
            (* (* (* 77617.0 77617.0) 11.0) (* 33096.0 33096.0))
            (pow 33096.0 6.0))
           (* -121.0 (pow 33096.0 4.0)))
          -2.0))))))))
  (/ 77617.0 (* 33096.0 2.0))))
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) (((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (77617.0 * 77617.0)) * 11.0)) * ((double) (33096.0 * 33096.0)))) - ((double) pow(33096.0, 6.0)))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0)))))) * ((double) pow(((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (77617.0 * 77617.0)) * 11.0)) * ((double) (33096.0 * 33096.0)))) - ((double) pow(33096.0, 6.0)))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0)))))), 2.0)))) + ((double) pow(((double) (5.5 * ((double) pow(33096.0, 8.0)))), 3.0)))) / ((double) (((double) (((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (77617.0 * 77617.0)) * 11.0)) * ((double) (33096.0 * 33096.0)))) - ((double) pow(33096.0, 6.0)))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0)))))) * ((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (77617.0 * 77617.0)) * 11.0)) * ((double) (33096.0 * 33096.0)))) - ((double) pow(33096.0, 6.0)))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0)))))))) + ((double) (5.5 * ((double) (((double) pow(33096.0, 8.0)) * ((double) (((double) (((double) (5.5 * ((double) pow(((double) (((double) (((double) cbrt(((double) sqrt(33096.0)))) * ((double) cbrt(((double) sqrt(33096.0)))))) * ((double) (((double) cbrt(((double) sqrt(33096.0)))) * ((double) cbrt(((double) sqrt(33096.0)))))))), 8.0)))) * ((double) pow(((double) cbrt(33096.0)), 8.0)))) - ((double) (((double) (333.75 * ((double) pow(33096.0, 6.0)))) + ((double) (((double) (77617.0 * 77617.0)) * ((double) (((double) (((double) (((double) (((double) (((double) (77617.0 * 77617.0)) * 11.0)) * ((double) (33096.0 * 33096.0)))) - ((double) pow(33096.0, 6.0)))) + ((double) (-121.0 * ((double) pow(33096.0, 4.0)))))) + -2.0))))))))))))))) + (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. Simplified58.1

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

    4. Applied flip3-+_binary6458.1

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

    5. Simplified58.1

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

    7. Applied add-cube-cbrt_binary6458.1

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

    8. Applied unpow-prod-down_binary6458.1

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

    9. Simplified58.1

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

    10. Simplified58.1

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

    12. Applied add-cube-cbrt_binary6458.1

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

    13. Applied unpow-prod-down_binary6458.1

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

    14. Applied associate-*r*_binary6458.1

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

    16. Applied add-sqr-sqrt_binary6458.1

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

    17. Applied cbrt-prod_binary6458.1

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

    18. Applied add-sqr-sqrt_binary6458.1

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

    19. Applied cbrt-prod_binary6458.1

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

    20. Applied swap-sqr_binary6458.1

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

    21. Final simplification58.1

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

    Reproduce

    herbie shell --seed 2020205 
(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))))