Average Error: 0.0 → 0.0
Time: 3.5s
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 r686521 = x;
        double r686522 = y;
        double r686523 = r686521 - r686522;
        double r686524 = r686523 / r686521;
        return r686524;
}
↓
double f(double x, double y) {
        double r686525 = 1.0;
        double r686526 = y;
        double r686527 = x;
        double r686528 = r686526 / r686527;
        double r686529 = r686525 - r686528;
        return r686529;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, E"

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

  (/ (- x y) x))