Average Error: 0.0 → 0.0
Time: 7.3s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[z \cdot 1 - y \cdot \left(z - x\right)\]
x \cdot y + z \cdot \left(1 - y\right)
↓
z \cdot 1 - y \cdot \left(z - x\right)
double f(double x, double y, double z) {
        double r557871 = x;
        double r557872 = y;
        double r557873 = r557871 * r557872;
        double r557874 = z;
        double r557875 = 1.0;
        double r557876 = r557875 - r557872;
        double r557877 = r557874 * r557876;
        double r557878 = r557873 + r557877;
        return r557878;
}
↓
double f(double x, double y, double z) {
        double r557879 = z;
        double r557880 = 1.0;
        double r557881 = r557879 * r557880;
        double r557882 = y;
        double r557883 = x;
        double r557884 = r557879 - r557883;
        double r557885 = r557882 * r557884;
        double r557886 = r557881 - r557885;
        return r557886;
}

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

Target

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

Derivation

  1. Initial program 0.0

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

  2. Simplified0.0

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y z)
  :name "Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3"

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

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