Average Error: 0.1 → 0.1
Time: 1.1s
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 r324309 = x;
        double r324310 = y;
        double r324311 = r324309 - r324310;
        double r324312 = 2.0;
        double r324313 = r324311 / r324312;
        double r324314 = r324309 + r324313;
        return r324314;
}
↓
double f(double x, double y) {
        double r324315 = x;
        double r324316 = y;
        double r324317 = r324315 - r324316;
        double r324318 = 2.0;
        double r324319 = r324317 / r324318;
        double r324320 = r324315 + r324319;
        return r324320;
}

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 2019326 +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)))