Average Error: 0.0 → 0.1
Time: 3.6s
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 r870078 = x;
        double r870079 = y;
        double r870080 = r870078 - r870079;
        double r870081 = 2.0;
        double r870082 = r870078 + r870079;
        double r870083 = r870081 - r870082;
        double r870084 = r870080 / r870083;
        return r870084;
}
↓
double f(double x, double y) {
        double r870085 = 1.0;
        double r870086 = 2.0;
        double r870087 = x;
        double r870088 = y;
        double r870089 = r870087 + r870088;
        double r870090 = r870086 - r870089;
        double r870091 = r870087 - r870088;
        double r870092 = r870090 / r870091;
        double r870093 = r870085 / r870092;
        return r870093;
}

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 2020002 +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))))