Average Error: 0.1 → 0.7
Time: 11.5s
Precision: 64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[\left(\left(x \cdot y + z\right) \cdot \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right)\right) \cdot \sqrt[3]{y} + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
\left(\left(x \cdot y + z\right) \cdot \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right)\right) \cdot \sqrt[3]{y} + t
double f(double x, double y, double z, double t) {
        double r10462495 = x;
        double r10462496 = y;
        double r10462497 = r10462495 * r10462496;
        double r10462498 = z;
        double r10462499 = r10462497 + r10462498;
        double r10462500 = r10462499 * r10462496;
        double r10462501 = t;
        double r10462502 = r10462500 + r10462501;
        return r10462502;
}
↓
double f(double x, double y, double z, double t) {
        double r10462503 = x;
        double r10462504 = y;
        double r10462505 = r10462503 * r10462504;
        double r10462506 = z;
        double r10462507 = r10462505 + r10462506;
        double r10462508 = cbrt(r10462504);
        double r10462509 = r10462508 * r10462508;
        double r10462510 = r10462507 * r10462509;
        double r10462511 = r10462510 * r10462508;
        double r10462512 = t;
        double r10462513 = r10462511 + r10462512;
        return r10462513;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\left(x \cdot y + z\right) \cdot y + t\]
  2. Using strategy rm

  3. Applied add-cube-cbrt0.7

    \[\leadsto \left(x \cdot y + z\right) \cdot \color{blue}{\left(\left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right) \cdot \sqrt[3]{y}\right)} + t\]

  4. Applied associate-*r*0.7

    \[\leadsto \color{blue}{\left(\left(x \cdot y + z\right) \cdot \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right)\right) \cdot \sqrt[3]{y}} + t\]

  5. Final simplification0.7

    \[\leadsto \left(\left(x \cdot y + z\right) \cdot \left(\sqrt[3]{y} \cdot \sqrt[3]{y}\right)\right) \cdot \sqrt[3]{y} + t\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))