\[x \cdot \left(1 - y \cdot z\right)\]

↓

\[\begin{array}{l} \mathbf{if}\;y \cdot z \le -2.563568848510718275539306140850352140933 \cdot 10^{223} \lor \neg \left(y \cdot z \le 1.466350506553371984357185753274899454575 \cdot 10^{97}\right):\\ \;\;\;\;1 \cdot x + y \cdot \left(x \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x + \left(-y \cdot z\right) \cdot x\\ \end{array}\]

x \cdot \left(1 - y \cdot z\right)

↓

\begin{array}{l}
\mathbf{if}\;y \cdot z \le -2.563568848510718275539306140850352140933 \cdot 10^{223} \lor \neg \left(y \cdot z \le 1.466350506553371984357185753274899454575 \cdot 10^{97}\right):\\
\;\;\;\;1 \cdot x + y \cdot \left(x \cdot \left(-z\right)\right)\\

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

\end{array}

double f(double x, double y, double z) {
        double r1499780 = x;
        double r1499781 = 1.0;
        double r1499782 = y;
        double r1499783 = z;
        double r1499784 = r1499782 * r1499783;
        double r1499785 = r1499781 - r1499784;
        double r1499786 = r1499780 * r1499785;
        return r1499786;
}

↓

double f(double x, double y, double z) {
        double r1499787 = y;
        double r1499788 = z;
        double r1499789 = r1499787 * r1499788;
        double r1499790 = -2.5635688485107183e+223;
        bool r1499791 = r1499789 <= r1499790;
        double r1499792 = 1.466350506553372e+97;
        bool r1499793 = r1499789 <= r1499792;
        double r1499794 = !r1499793;
        bool r1499795 = r1499791 || r1499794;
        double r1499796 = 1.0;
        double r1499797 = x;
        double r1499798 = r1499796 * r1499797;
        double r1499799 = -r1499788;
        double r1499800 = r1499797 * r1499799;
        double r1499801 = r1499787 * r1499800;
        double r1499802 = r1499798 + r1499801;
        double r1499803 = -r1499789;
        double r1499804 = r1499803 * r1499797;
        double r1499805 = r1499798 + r1499804;
        double r1499806 = r1499795 ? r1499802 : r1499805;
        return r1499806;
}

Derivation

Split input into 2 regimes
if (* y z) < -2.5635688485107183e+223 or 1.466350506553372e+97 < (* y z)
1. Initial program 18.7
  \[x \cdot \left(1 - y \cdot z\right)\]
2. Using strategy rm
3. Applied sub-neg18.7
  \[\leadsto x \cdot \color{blue}{\left(1 + \left(-y \cdot z\right)\right)}\]
4. Applied distribute-lft-in18.7
  \[\leadsto \color{blue}{x \cdot 1 + x \cdot \left(-y \cdot z\right)}\]
5. Simplified18.7
  \[\leadsto \color{blue}{1 \cdot x} + x \cdot \left(-y \cdot z\right)\]
6. Simplified18.7
  \[\leadsto 1 \cdot x + \color{blue}{\left(-y \cdot z\right) \cdot x}\]
7. Using strategy rm
8. Applied distribute-rgt-neg-in18.7
  \[\leadsto 1 \cdot x + \color{blue}{\left(y \cdot \left(-z\right)\right)} \cdot x\]
9. Applied associate-*l*2.9
  \[\leadsto 1 \cdot x + \color{blue}{y \cdot \left(\left(-z\right) \cdot x\right)}\]
10. Simplified2.9
  \[\leadsto 1 \cdot x + y \cdot \color{blue}{\left(x \cdot \left(-z\right)\right)}\]
if -2.5635688485107183e+223 < (* y z) < 1.466350506553372e+97
1. Initial program 0.1
  \[x \cdot \left(1 - y \cdot z\right)\]
2. Using strategy rm
3. Applied sub-neg0.1
  \[\leadsto x \cdot \color{blue}{\left(1 + \left(-y \cdot z\right)\right)}\]
4. Applied distribute-lft-in0.1
  \[\leadsto \color{blue}{x \cdot 1 + x \cdot \left(-y \cdot z\right)}\]
5. Simplified0.1
  \[\leadsto \color{blue}{1 \cdot x} + x \cdot \left(-y \cdot z\right)\]
6. Simplified0.1
  \[\leadsto 1 \cdot x + \color{blue}{\left(-y \cdot z\right) \cdot x}\]
Recombined 2 regimes into one program.
Final simplification0.5
\[\leadsto \begin{array}{l} \mathbf{if}\;y \cdot z \le -2.563568848510718275539306140850352140933 \cdot 10^{223} \lor \neg \left(y \cdot z \le 1.466350506553371984357185753274899454575 \cdot 10^{97}\right):\\ \;\;\;\;1 \cdot x + y \cdot \left(x \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x + \left(-y \cdot z\right) \cdot x\\ \end{array}\]

Error

Try it out

Derivation

`if (* y z) < -2.5635688485107183e+223 or 1.466350506553372e+97 < (* y z)`

`if -2.5635688485107183e+223 < (* y z) < 1.466350506553372e+97`

Reproduce

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