Average Error: 0.0 → 0.0
Time: 1.2s
Precision: binary64
\[\frac{x - y}{x}\]
↓
\[\frac{x}{x} - \frac{y}{x}\]
\frac{x - y}{x}
↓
\frac{x}{x} - \frac{y}{x}
(FPCore (x y) :precision binary64 (/ (- x y) x))
↓
(FPCore (x y) :precision binary64 (- (/ x x) (/ y x)))
double code(double x, double y) {
	return (x - y) / x;
}
↓
double code(double x, double y) {
	return (x / x) - (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. Using strategy rm

  3. Applied div-sub_binary64_188380.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2021015 
(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))