Average Error: 0.0 → 0
Time: 7.9s
Precision: 64
\[x + \frac{y - x}{2}\]
↓
\[\left(x + y\right) \cdot 0.5\]
x + \frac{y - x}{2}
↓
\left(x + y\right) \cdot 0.5
double f(double x, double y) {
        double r24594486 = x;
        double r24594487 = y;
        double r24594488 = r24594487 - r24594486;
        double r24594489 = 2.0;
        double r24594490 = r24594488 / r24594489;
        double r24594491 = r24594486 + r24594490;
        return r24594491;
}
↓
double f(double x, double y) {
        double r24594492 = x;
        double r24594493 = y;
        double r24594494 = r24594492 + r24594493;
        double r24594495 = 0.5;
        double r24594496 = r24594494 * r24594495;
        return r24594496;
}

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
Herbie0
\[0.5 \cdot \left(x + y\right)\]

Derivation

  1. Initial program 0.0

    \[x + \frac{y - x}{2}\]

  2. Taylor expanded around 0 0

    \[\leadsto \color{blue}{0.5 \cdot x + 0.5 \cdot y}\]

  3. Simplified0

    \[\leadsto \color{blue}{0.5 \cdot \left(x + y\right)}\]

  4. Final simplification0

    \[\leadsto \left(x + y\right) \cdot 0.5\]

Reproduce

herbie shell --seed 2019171 
(FPCore (x y)
  :name "Numeric.Interval.Internal:bisect from intervals-0.7.1, A"

  :herbie-target
  (* 0.5 (+ x y))

  (+ x (/ (- y x) 2.0)))