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

↓

\[\begin{array}{l} \mathbf{if}\;y \cdot z \le -1.17685647831489084453456189150995397973 \cdot 10^{221} \lor \neg \left(y \cdot z \le 7.312372482130218940754485960634465779355 \cdot 10^{187}\right):\\ \;\;\;\;1 \cdot x + y \cdot \left(z \cdot \left(-x\right)\right)\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x + \left(-y \cdot z\right) \cdot x\\ \end{array}\]

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

↓

\begin{array}{l}
\mathbf{if}\;y \cdot z \le -1.17685647831489084453456189150995397973 \cdot 10^{221} \lor \neg \left(y \cdot z \le 7.312372482130218940754485960634465779355 \cdot 10^{187}\right):\\
\;\;\;\;1 \cdot x + y \cdot \left(z \cdot \left(-x\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 r149239 = x;
        double r149240 = 1.0;
        double r149241 = y;
        double r149242 = z;
        double r149243 = r149241 * r149242;
        double r149244 = r149240 - r149243;
        double r149245 = r149239 * r149244;
        return r149245;
}

↓

double f(double x, double y, double z) {
        double r149246 = y;
        double r149247 = z;
        double r149248 = r149246 * r149247;
        double r149249 = -1.1768564783148908e+221;
        bool r149250 = r149248 <= r149249;
        double r149251 = 7.312372482130219e+187;
        bool r149252 = r149248 <= r149251;
        double r149253 = !r149252;
        bool r149254 = r149250 || r149253;
        double r149255 = 1.0;
        double r149256 = x;
        double r149257 = r149255 * r149256;
        double r149258 = -r149256;
        double r149259 = r149247 * r149258;
        double r149260 = r149246 * r149259;
        double r149261 = r149257 + r149260;
        double r149262 = -r149248;
        double r149263 = r149262 * r149256;
        double r149264 = r149257 + r149263;
        double r149265 = r149254 ? r149261 : r149264;
        return r149265;
}

Derivation

Split input into 2 regimes
if (* y z) < -1.1768564783148908e+221 or 7.312372482130219e+187 < (* y z)
1. Initial program 27.5
  \[x \cdot \left(1 - y \cdot z\right)\]
2. Using strategy rm
3. Applied sub-neg27.5
  \[\leadsto x \cdot \color{blue}{\left(1 + \left(-y \cdot z\right)\right)}\]
4. Applied distribute-lft-in27.5
  \[\leadsto \color{blue}{x \cdot 1 + x \cdot \left(-y \cdot z\right)}\]
5. Simplified27.5
  \[\leadsto \color{blue}{1 \cdot x} + x \cdot \left(-y \cdot z\right)\]
6. Simplified27.5
  \[\leadsto 1 \cdot x + \color{blue}{\left(-y \cdot z\right) \cdot x}\]
7. Using strategy rm
8. Applied distribute-rgt-neg-in27.5
  \[\leadsto 1 \cdot x + \color{blue}{\left(y \cdot \left(-z\right)\right)} \cdot x\]
9. Applied associate-*l*1.2
  \[\leadsto 1 \cdot x + \color{blue}{y \cdot \left(\left(-z\right) \cdot x\right)}\]
10. Simplified1.2
  \[\leadsto 1 \cdot x + y \cdot \color{blue}{\left(z \cdot \left(-x\right)\right)}\]
if -1.1768564783148908e+221 < (* y z) < 7.312372482130219e+187
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 simplification0.2
\[\leadsto \begin{array}{l} \mathbf{if}\;y \cdot z \le -1.17685647831489084453456189150995397973 \cdot 10^{221} \lor \neg \left(y \cdot z \le 7.312372482130218940754485960634465779355 \cdot 10^{187}\right):\\ \;\;\;\;1 \cdot x + y \cdot \left(z \cdot \left(-x\right)\right)\\ \mathbf{else}:\\ \;\;\;\;1 \cdot x + \left(-y \cdot z\right) \cdot x\\ \end{array}\]

Error

Try it out

Derivation

`if (* y z) < -1.1768564783148908e+221 or 7.312372482130219e+187 < (* y z)`

`if -1.1768564783148908e+221 < (* y z) < 7.312372482130219e+187`

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