Average Error: 0.0 → 0.0
Time: 823.0ms
Precision: binary64
\[x \cdot \left(1 - y\right)\]
↓
\[x - x \cdot y\]
x \cdot \left(1 - y\right)
↓
x - x \cdot y
(FPCore (x y) :precision binary64 (* x (- 1.0 y)))
↓
(FPCore (x y) :precision binary64 (- x (* x y)))
double code(double x, double y) {
	return x * (1.0 - y);
}
↓
double code(double x, double y) {
	return x - (x * y);
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{x - x \cdot y}\]

  3. Final simplification0.0

    \[\leadsto x - x \cdot y\]

Reproduce

herbie shell --seed 2021174 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1.0 y)))