Average Error: 0.0 → 0.1
Time: 11.5s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}
double f(double x, double y) {
        double r54238272 = x;
        double r54238273 = y;
        double r54238274 = r54238272 - r54238273;
        double r54238275 = 2.0;
        double r54238276 = r54238272 + r54238273;
        double r54238277 = r54238275 - r54238276;
        double r54238278 = r54238274 / r54238277;
        return r54238278;
}
↓
double f(double x, double y) {
        double r54238279 = 1.0;
        double r54238280 = 2.0;
        double r54238281 = x;
        double r54238282 = y;
        double r54238283 = r54238281 + r54238282;
        double r54238284 = r54238280 - r54238283;
        double r54238285 = r54238281 - r54238282;
        double r54238286 = r54238284 / r54238285;
        double r54238287 = r54238279 / r54238286;
        return r54238287;
}

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
Herbie0.1
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2 - \left(x + y\right)}\]
  2. Using strategy rm

  3. Applied clear-num0.1

    \[\leadsto \color{blue}{\frac{1}{\frac{2 - \left(x + y\right)}{x - y}}}\]

  4. Final simplification0.1

    \[\leadsto \frac{1}{\frac{2 - \left(x + y\right)}{x - y}}\]

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"

  :herbie-target
  (- (/ x (- 2.0 (+ x y))) (/ y (- 2.0 (+ x y))))

  (/ (- x y) (- 2.0 (+ x y))))