Average Error: 0.1 → 0.1
Time: 4.8s
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 r603301 = x;
        double r603302 = y;
        double r603303 = r603301 - r603302;
        double r603304 = 2.0;
        double r603305 = r603303 / r603304;
        double r603306 = r603301 + r603305;
        return r603306;
}
↓
double f(double x, double y) {
        double r603307 = x;
        double r603308 = y;
        double r603309 = r603307 - r603308;
        double r603310 = 2.0;
        double r603311 = r603309 / r603310;
        double r603312 = r603307 + r603311;
        return r603312;
}

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 2020089 +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)))