Average Error: 0.0 → 0.0
Time: 4.2s
Precision: binary64
\[x \cdot y + z \cdot \left(1 - y\right) \]
↓
\[x \cdot y + \left(z - y \cdot z\right) \]
x \cdot y + z \cdot \left(1 - y\right)
↓
x \cdot y + \left(z - y \cdot z\right)

(FPCore (x y z) :precision binary64 (+ (* x y) (* z (- 1.0 y))))
↓
(FPCore (x y z) :precision binary64 (+ (* x y) (- z (* y z))))
double code(double x, double y, double z) {
	return (x * y) + (z * (1.0 - y));
}
↓
double code(double x, double y, double z) {
	return (x * y) + (z - (y * 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. Applied *-un-lft-identity_binary640.0

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

  3. Applied cancel-sign-sub-inv_binary640.0

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

  4. Applied distribute-rgt-in_binary640.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2021274 
(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))))