Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[\frac{x - y}{2.0 - \left(x + y\right)}\]
↓
\[\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]
\frac{x - y}{2.0 - \left(x + y\right)}
↓
\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}
double f(double x, double y) {
        double r14893958 = x;
        double r14893959 = y;
        double r14893960 = r14893958 - r14893959;
        double r14893961 = 2.0;
        double r14893962 = r14893958 + r14893959;
        double r14893963 = r14893961 - r14893962;
        double r14893964 = r14893960 / r14893963;
        return r14893964;
}
↓
double f(double x, double y) {
        double r14893965 = x;
        double r14893966 = 2.0;
        double r14893967 = y;
        double r14893968 = r14893965 + r14893967;
        double r14893969 = r14893966 - r14893968;
        double r14893970 = r14893965 / r14893969;
        double r14893971 = r14893967 / r14893969;
        double r14893972 = r14893970 - r14893971;
        return r14893972;
}

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
\[\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]

Derivation

  1. Initial program 0.0

    \[\frac{x - y}{2.0 - \left(x + y\right)}\]
  2. Using strategy rm

  3. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}}\]

  4. Final simplification0.0

    \[\leadsto \frac{x}{2.0 - \left(x + y\right)} - \frac{y}{2.0 - \left(x + y\right)}\]

Reproduce

herbie shell --seed 2019156 +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))))