Average Error: 0.0 → 0.0
Time: 13.5s
Precision: 64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[y \cdot \left(x - z\right) + 1 \cdot z\]
x \cdot y + z \cdot \left(1 - y\right)
↓
y \cdot \left(x - z\right) + 1 \cdot z
double f(double x, double y, double z) {
        double r45010856 = x;
        double r45010857 = y;
        double r45010858 = r45010856 * r45010857;
        double r45010859 = z;
        double r45010860 = 1.0;
        double r45010861 = r45010860 - r45010857;
        double r45010862 = r45010859 * r45010861;
        double r45010863 = r45010858 + r45010862;
        return r45010863;
}
↓
double f(double x, double y, double z) {
        double r45010864 = y;
        double r45010865 = x;
        double r45010866 = z;
        double r45010867 = r45010865 - r45010866;
        double r45010868 = r45010864 * r45010867;
        double r45010869 = 1.0;
        double r45010870 = r45010869 * r45010866;
        double r45010871 = r45010868 + r45010870;
        return r45010871;
}

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. Using strategy rm

  3. Applied flip-+29.3

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

  4. Taylor expanded around inf 0.0

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

  5. Simplified0.0

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

  6. Final simplification0.0

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

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))))