Average Error: 0.0 → 0.0
Time: 651.0ms
Precision: binary64
\[\frac{x - y}{x}\]
↓
\[1 - \frac{y}{x}\]
\frac{x - y}{x}
↓
1 - \frac{y}{x}
(FPCore (x y) :precision binary64 (/ (- x y) x))
↓
(FPCore (x y) :precision binary64 (- 1.0 (/ y x)))
double code(double x, double y) {
	return (((double) (x - y)) / x);
}
↓
double code(double x, double y) {
	return ((double) (1.0 - (y / x)));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[1 - \frac{y}{x}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{x}\]

  2. Simplified0.0

    \[\leadsto \color{blue}{1 - \frac{y}{x}}\]

  3. Final simplification0.0

    \[\leadsto 1 - \frac{y}{x}\]

Reproduce

herbie shell --seed 2020198 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, E"
  :precision binary64

  :herbie-target
  (- 1.0 (/ y x))

  (/ (- x y) x))