Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[x \cdot y + z \cdot \left(1 - y\right)\]
↓
\[z \cdot 1 + y \cdot \left(x - z\right)\]
x \cdot y + z \cdot \left(1 - y\right)
↓
z \cdot 1 + y \cdot \left(x - z\right)
double code(double x, double y, double z) {
	return ((double) (((double) (x * y)) + ((double) (z * ((double) (1.0 - y))))));
}
↓
double code(double x, double y, double z) {
	return ((double) (((double) (z * 1.0)) + ((double) (y * ((double) (x - z))))));
}

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. Taylor expanded around 0 0.0

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

  3. Simplified0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020148 
(FPCore (x y z)
  :name "Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3"
  :precision binary64

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

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