Average Error: 3.6 → 0.7
Time: 16.6s
Precision: 64
\[x \cdot \left(1 - y \cdot z\right)\]
↓
\[\begin{array}{l} \mathbf{if}\;y \cdot z \le -9.5264916313322165 \cdot 10^{159} \lor \neg \left(y \cdot z \le 6.5450062233907791 \cdot 10^{108}\right):\\ \;\;\;\;x \cdot 1 + \left(-y\right) \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(1 - y \cdot z\right)\\ \end{array}\]
x \cdot \left(1 - y \cdot z\right)
↓
\begin{array}{l}
\mathbf{if}\;y \cdot z \le -9.5264916313322165 \cdot 10^{159} \lor \neg \left(y \cdot z \le 6.5450062233907791 \cdot 10^{108}\right):\\
\;\;\;\;x \cdot 1 + \left(-y\right) \cdot \left(z \cdot x\right)\\

\mathbf{else}:\\
\;\;\;\;x \cdot \left(1 - y \cdot z\right)\\

\end{array}
double f(double x, double y, double z) {
        double r199976 = x;
        double r199977 = 1.0;
        double r199978 = y;
        double r199979 = z;
        double r199980 = r199978 * r199979;
        double r199981 = r199977 - r199980;
        double r199982 = r199976 * r199981;
        return r199982;
}
↓
double f(double x, double y, double z) {
        double r199983 = y;
        double r199984 = z;
        double r199985 = r199983 * r199984;
        double r199986 = -9.526491631332217e+159;
        bool r199987 = r199985 <= r199986;
        double r199988 = 6.545006223390779e+108;
        bool r199989 = r199985 <= r199988;
        double r199990 = !r199989;
        bool r199991 = r199987 || r199990;
        double r199992 = x;
        double r199993 = 1.0;
        double r199994 = r199992 * r199993;
        double r199995 = -r199983;
        double r199996 = r199984 * r199992;
        double r199997 = r199995 * r199996;
        double r199998 = r199994 + r199997;
        double r199999 = r199993 - r199985;
        double r200000 = r199992 * r199999;
        double r200001 = r199991 ? r199998 : r200000;
        return r200001;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Split input into 2 regimes

  2. if (* y z) < -9.526491631332217e+159 or 6.545006223390779e+108 < (* y z)

    1. Initial program 17.7

      \[x \cdot \left(1 - y \cdot z\right)\]
    2. Using strategy rm

    3. Applied add-cube-cbrt18.5

      \[\leadsto \color{blue}{\left(\left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \sqrt[3]{x}\right)} \cdot \left(1 - y \cdot z\right)\]

    4. Applied associate-*l*18.5

      \[\leadsto \color{blue}{\left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \left(\sqrt[3]{x} \cdot \left(1 - y \cdot z\right)\right)}\]
    5. Using strategy rm

    6. Applied sub-neg18.5

      \[\leadsto \left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \left(\sqrt[3]{x} \cdot \color{blue}{\left(1 + \left(-y \cdot z\right)\right)}\right)\]

    7. Applied distribute-lft-in18.5

      \[\leadsto \left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \color{blue}{\left(\sqrt[3]{x} \cdot 1 + \sqrt[3]{x} \cdot \left(-y \cdot z\right)\right)}\]

    8. Applied distribute-lft-in18.5

      \[\leadsto \color{blue}{\left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \left(\sqrt[3]{x} \cdot 1\right) + \left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \left(\sqrt[3]{x} \cdot \left(-y \cdot z\right)\right)}\]

    9. Simplified18.5

      \[\leadsto \color{blue}{x \cdot 1} + \left(\sqrt[3]{x} \cdot \sqrt[3]{x}\right) \cdot \left(\sqrt[3]{x} \cdot \left(-y \cdot z\right)\right)\]

    10. Simplified3.4

      \[\leadsto x \cdot 1 + \color{blue}{\left(-y\right) \cdot \left(z \cdot x\right)}\]

    if -9.526491631332217e+159 < (* y z) < 6.545006223390779e+108

    1. Initial program 0.1

      \[x \cdot \left(1 - y \cdot z\right)\]
  3. Recombined 2 regimes into one program.

  4. Final simplification0.7

    \[\leadsto \begin{array}{l} \mathbf{if}\;y \cdot z \le -9.5264916313322165 \cdot 10^{159} \lor \neg \left(y \cdot z \le 6.5450062233907791 \cdot 10^{108}\right):\\ \;\;\;\;x \cdot 1 + \left(-y\right) \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(1 - y \cdot z\right)\\ \end{array}\]

Reproduce

herbie shell --seed 2019199 
(FPCore (x y z)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, I"
  (* x (- 1.0 (* y z))))