Average Error: 15.4 → 0.0
Time: 13.1s
Precision: 64
\[\frac{x - y}{\left(x \cdot 2\right) \cdot y}\]
↓
\[\frac{0.5}{y} - \frac{0.5}{x}\]
\frac{x - y}{\left(x \cdot 2\right) \cdot y}
↓
\frac{0.5}{y} - \frac{0.5}{x}
double f(double x, double y) {
        double r10061520 = x;
        double r10061521 = y;
        double r10061522 = r10061520 - r10061521;
        double r10061523 = 2.0;
        double r10061524 = r10061520 * r10061523;
        double r10061525 = r10061524 * r10061521;
        double r10061526 = r10061522 / r10061525;
        return r10061526;
}
↓
double f(double x, double y) {
        double r10061527 = 0.5;
        double r10061528 = y;
        double r10061529 = r10061527 / r10061528;
        double r10061530 = x;
        double r10061531 = r10061527 / r10061530;
        double r10061532 = r10061529 - r10061531;
        return r10061532;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original15.4
Target0.0
Herbie0.0
\[\frac{0.5}{y} - \frac{0.5}{x}\]

Derivation

  1. Initial program 15.4

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

  2. Taylor expanded around 0 0.0

    \[\leadsto \color{blue}{0.5 \cdot \frac{1}{y} - 0.5 \cdot \frac{1}{x}}\]

  3. Simplified0.0

    \[\leadsto \color{blue}{\frac{0.5}{y} - \frac{0.5}{x}}\]

  4. Final simplification0.0

    \[\leadsto \frac{0.5}{y} - \frac{0.5}{x}\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Linear.Projection:inversePerspective from linear-1.19.1.3, B"

  :herbie-target
  (- (/ 0.5 y) (/ 0.5 x))

  (/ (- x y) (* (* x 2.0) y)))