Average Error: 0.0 → 0.0
Time: 9.7s
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 r647136 = x;
        double r647137 = y;
        double r647138 = r647136 - r647137;
        double r647139 = 2.0;
        double r647140 = r647136 + r647137;
        double r647141 = r647139 - r647140;
        double r647142 = r647138 / r647141;
        return r647142;
}

double f(double x, double y) {
        double r647143 = x;
        double r647144 = 2.0;
        double r647145 = y;
        double r647146 = r647143 + r647145;
        double r647147 = r647144 - r647146;
        double r647148 = r647143 / r647147;
        double r647149 = r647145 / r647147;
        double r647150 = r647148 - r647149;
        return r647150;
}

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. Simplified0.0

    \[\leadsto \color{blue}{\frac{x - y}{\left(2 - x\right) - y}}\]
  3. Using strategy rm
  4. Applied div-sub0.0

    \[\leadsto \color{blue}{\frac{x}{\left(2 - x\right) - y} - \frac{y}{\left(2 - x\right) - y}}\]
  5. Simplified0.0

    \[\leadsto \color{blue}{\frac{x}{2 - \left(x + y\right)}} - \frac{y}{\left(2 - x\right) - y}\]
  6. Simplified0.0

    \[\leadsto \frac{x}{2 - \left(x + y\right)} - \color{blue}{\frac{y}{2 - \left(x + y\right)}}\]
  7. Final simplification0.0

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

Reproduce

herbie shell --seed 2019194 
(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))))