Average Error: 0.1 → 0.6
Time: 16.0s
Precision: 64
\[\left(x \cdot y + z\right) \cdot y + t\]
↓
\[\left(\sqrt[3]{y \cdot \left(z + x \cdot y\right)} \cdot \sqrt[3]{y \cdot \left(z + x \cdot y\right)}\right) \cdot \sqrt[3]{y \cdot \left(z + x \cdot y\right)} + t\]
\left(x \cdot y + z\right) \cdot y + t
↓
\left(\sqrt[3]{y \cdot \left(z + x \cdot y\right)} \cdot \sqrt[3]{y \cdot \left(z + x \cdot y\right)}\right) \cdot \sqrt[3]{y \cdot \left(z + x \cdot y\right)} + t
double f(double x, double y, double z, double t) {
        double r7471022 = x;
        double r7471023 = y;
        double r7471024 = r7471022 * r7471023;
        double r7471025 = z;
        double r7471026 = r7471024 + r7471025;
        double r7471027 = r7471026 * r7471023;
        double r7471028 = t;
        double r7471029 = r7471027 + r7471028;
        return r7471029;
}
↓
double f(double x, double y, double z, double t) {
        double r7471030 = y;
        double r7471031 = z;
        double r7471032 = x;
        double r7471033 = r7471032 * r7471030;
        double r7471034 = r7471031 + r7471033;
        double r7471035 = r7471030 * r7471034;
        double r7471036 = cbrt(r7471035);
        double r7471037 = r7471036 * r7471036;
        double r7471038 = r7471037 * r7471036;
        double r7471039 = t;
        double r7471040 = r7471038 + r7471039;
        return r7471040;
}

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-cbrt0.6

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

  4. Final simplification0.6

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

Reproduce

herbie shell --seed 2019171 
(FPCore (x y z t)
  :name "Language.Haskell.HsColour.ColourHighlight:unbase from hscolour-1.23"
  (+ (* (+ (* x y) z) y) t))