Average Error: 0.0 → 0.0
Time: 7.5s
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 r208695 = x;
        double r208696 = y;
        double r208697 = r208695 * r208696;
        double r208698 = 1.0;
        double r208699 = r208698 - r208695;
        double r208700 = z;
        double r208701 = r208699 * r208700;
        double r208702 = r208697 + r208701;
        return r208702;
}
↓
double f(double x, double y, double z) {
        double r208703 = y;
        double r208704 = x;
        double r208705 = r208703 * r208704;
        double r208706 = 1.0;
        double r208707 = r208706 - r208704;
        double r208708 = z;
        double r208709 = r208707 * r208708;
        double r208710 = r208705 + r208709;
        return r208710;
}

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 2019179 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  (+ (* x y) (* (- 1.0 x) z)))