Average Error: 0.1 → 0.1
Time: 19.5s
Precision: 64
\[x + \frac{x - y}{2}\]
↓
\[x + \frac{x - y}{2}\]
x + \frac{x - y}{2}
↓
x + \frac{x - y}{2}
double f(double x, double y) {
        double r590424 = x;
        double r590425 = y;
        double r590426 = r590424 - r590425;
        double r590427 = 2.0;
        double r590428 = r590426 / r590427;
        double r590429 = r590424 + r590428;
        return r590429;
}
↓
double f(double x, double y) {
        double r590430 = x;
        double r590431 = y;
        double r590432 = r590430 - r590431;
        double r590433 = 2.0;
        double r590434 = r590432 / r590433;
        double r590435 = r590430 + r590434;
        return r590435;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[1.5 \cdot x - 0.5 \cdot y\]

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"
  :precision binary64

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

  (+ x (/ (- x y) 2)))