Average Error: 0.0 → 0.0
Time: 10.8s
Precision: 64
\[x \cdot y + \left(1 - x\right) \cdot z\]
↓
\[y \cdot x + \left(1 - x\right) \cdot z\]
x \cdot y + \left(1 - x\right) \cdot z
↓
y \cdot x + \left(1 - x\right) \cdot z
double f(double x, double y, double z) {
        double r175830 = x;
        double r175831 = y;
        double r175832 = r175830 * r175831;
        double r175833 = 1.0;
        double r175834 = r175833 - r175830;
        double r175835 = z;
        double r175836 = r175834 * r175835;
        double r175837 = r175832 + r175836;
        return r175837;
}
↓
double f(double x, double y, double z) {
        double r175838 = y;
        double r175839 = x;
        double r175840 = r175838 * r175839;
        double r175841 = 1.0;
        double r175842 = r175841 - r175839;
        double r175843 = z;
        double r175844 = r175842 * r175843;
        double r175845 = r175840 + r175844;
        return r175845;
}

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. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  (+ (* x y) (* (- 1.0 x) z)))