Average Error: 0.0 → 0.0
Time: 5.7s
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 r184348 = x;
        double r184349 = y;
        double r184350 = r184348 * r184349;
        double r184351 = 1.0;
        double r184352 = r184351 - r184348;
        double r184353 = z;
        double r184354 = r184352 * r184353;
        double r184355 = r184350 + r184354;
        return r184355;
}
↓
double f(double x, double y, double z) {
        double r184356 = y;
        double r184357 = x;
        double r184358 = r184356 * r184357;
        double r184359 = 1.0;
        double r184360 = r184359 - r184357;
        double r184361 = z;
        double r184362 = r184360 * r184361;
        double r184363 = r184358 + r184362;
        return r184363;
}

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 2019196 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  (+ (* x y) (* (- 1.0 x) z)))