Average Error: 0.0 → 0.0
Time: 959.0ms
Precision: 64
\[\frac{x - y}{x}\]
\[1 - \frac{y}{x}\]
\frac{x - y}{x}
1 - \frac{y}{x}
double f(double x, double y) {
        double r748267 = x;
        double r748268 = y;
        double r748269 = r748267 - r748268;
        double r748270 = r748269 / r748267;
        return r748270;
}

double f(double x, double y) {
        double r748271 = 1.0;
        double r748272 = y;
        double r748273 = x;
        double r748274 = r748272 / r748273;
        double r748275 = r748271 - r748274;
        return r748275;
}

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-sub0.0

    \[\leadsto \color{blue}{\frac{x}{x} - \frac{y}{x}}\]
  4. Simplified0.0

    \[\leadsto \color{blue}{1} - \frac{y}{x}\]
  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019322 
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, E"
  :precision binary64

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

  (/ (- x y) x))