Average Error: 0.1 → 0.1
Time: 8.5s
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 r435280 = x;
        double r435281 = y;
        double r435282 = r435280 - r435281;
        double r435283 = 2.0;
        double r435284 = r435282 / r435283;
        double r435285 = r435280 + r435284;
        return r435285;
}
↓
double f(double x, double y) {
        double r435286 = x;
        double r435287 = y;
        double r435288 = r435286 - r435287;
        double r435289 = 2.0;
        double r435290 = r435288 / r435289;
        double r435291 = r435286 + r435290;
        return r435291;
}

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 2020034 +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)))