Average Error: 0.0 → 0.0
Time: 3.9s
Precision: 64
\[\frac{x - y}{2 - \left(x + y\right)}\]
↓
\[\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}\]
\frac{x - y}{2 - \left(x + y\right)}
↓
\frac{x}{2 - \left(x + y\right)} - \frac{y}{2 - \left(x + y\right)}
double f(double x, double y) {
        double r1126488 = x;
        double r1126489 = y;
        double r1126490 = r1126488 - r1126489;
        double r1126491 = 2.0;
        double r1126492 = r1126488 + r1126489;
        double r1126493 = r1126491 - r1126492;
        double r1126494 = r1126490 / r1126493;
        return r1126494;
}
↓
double f(double x, double y) {
        double r1126495 = x;
        double r1126496 = 2.0;
        double r1126497 = y;
        double r1126498 = r1126495 + r1126497;
        double r1126499 = r1126496 - r1126498;
        double r1126500 = r1126495 / r1126499;
        double r1126501 = r1126497 / r1126499;
        double r1126502 = r1126500 - r1126501;
        return r1126502;
}

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

Derivation

  1. Initial program 0.0

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

  3. Applied div-sub0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, C"
  :precision binary64

  :herbie-target
  (- (/ x (- 2 (+ x y))) (/ y (- 2 (+ x y))))

  (/ (- x y) (- 2 (+ x y))))