Average Error: 0.1 → 0.1
Time: 11.3s
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 r609190 = x;
        double r609191 = y;
        double r609192 = r609190 - r609191;
        double r609193 = 2.0;
        double r609194 = r609192 / r609193;
        double r609195 = r609190 + r609194;
        return r609195;
}
↓
double f(double x, double y) {
        double r609196 = x;
        double r609197 = y;
        double r609198 = r609196 - r609197;
        double r609199 = 2.0;
        double r609200 = r609198 / r609199;
        double r609201 = r609196 + r609200;
        return r609201;
}

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 2020045 +o rules:numerics
(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)))