Average Error: 0.0 → 0.0
Time: 15.1s
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 r215469 = x;
        double r215470 = y;
        double r215471 = r215469 * r215470;
        double r215472 = 1.0;
        double r215473 = r215472 - r215469;
        double r215474 = z;
        double r215475 = r215473 * r215474;
        double r215476 = r215471 + r215475;
        return r215476;
}
↓
double f(double x, double y, double z) {
        double r215477 = y;
        double r215478 = x;
        double r215479 = r215477 * r215478;
        double r215480 = 1.0;
        double r215481 = r215480 - r215478;
        double r215482 = z;
        double r215483 = r215481 * r215482;
        double r215484 = r215479 + r215483;
        return r215484;
}

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 2019195 
(FPCore (x y z)
  :name "Diagrams.Backend.Rasterific:$crender from diagrams-rasterific-1.3.1.3"
  (+ (* x y) (* (- 1.0 x) z)))