Average Error: 0.0 → 0.0
Time: 12.3s
Precision: 64
\[\left(1 - x\right) \cdot y + x \cdot z\]
↓
\[y \cdot 1 - \left(y - z\right) \cdot x\]
\left(1 - x\right) \cdot y + x \cdot z
↓
y \cdot 1 - \left(y - z\right) \cdot x
double f(double x, double y, double z) {
        double r593371 = 1.0;
        double r593372 = x;
        double r593373 = r593371 - r593372;
        double r593374 = y;
        double r593375 = r593373 * r593374;
        double r593376 = z;
        double r593377 = r593372 * r593376;
        double r593378 = r593375 + r593377;
        return r593378;
}
↓
double f(double x, double y, double z) {
        double r593379 = y;
        double r593380 = 1.0;
        double r593381 = r593379 * r593380;
        double r593382 = z;
        double r593383 = r593379 - r593382;
        double r593384 = x;
        double r593385 = r593383 * r593384;
        double r593386 = r593381 - r593385;
        return r593386;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

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Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[y - x \cdot \left(y - z\right)\]

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x y z)
  :name "Diagrams.Color.HSV:lerp  from diagrams-contrib-1.3.0.5"

  :herbie-target
  (- y (* x (- y z)))

  (+ (* (- 1.0 x) y) (* x z)))