Average Error: 0.0 → 0.0
Time: 1.6s
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 r869781 = x;
        double r869782 = y;
        double r869783 = r869781 - r869782;
        double r869784 = r869783 / r869781;
        return r869784;
}
↓
double f(double x, double y) {
        double r869785 = 1.0;
        double r869786 = y;
        double r869787 = x;
        double r869788 = r869786 / r869787;
        double r869789 = r869785 - r869788;
        return r869789;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, E"
  :precision binary64

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

  (/ (- x y) x))