Average Error: 0.0 → 0.0
Time: 13.0s
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 r640623 = 1.0;
        double r640624 = x;
        double r640625 = r640623 - r640624;
        double r640626 = y;
        double r640627 = r640625 * r640626;
        double r640628 = z;
        double r640629 = r640624 * r640628;
        double r640630 = r640627 + r640629;
        return r640630;
}
↓
double f(double x, double y, double z) {
        double r640631 = y;
        double r640632 = 1.0;
        double r640633 = r640631 * r640632;
        double r640634 = z;
        double r640635 = r640631 - r640634;
        double r640636 = x;
        double r640637 = r640635 * r640636;
        double r640638 = r640633 - r640637;
        return r640638;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

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Results

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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 2019196 
(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)))