Average Error: 0.1 → 0.1
Time: 22.2s
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 r375047 = x;
        double r375048 = y;
        double r375049 = r375047 - r375048;
        double r375050 = 2.0;
        double r375051 = r375049 / r375050;
        double r375052 = r375047 + r375051;
        return r375052;
}
↓
double f(double x, double y) {
        double r375053 = x;
        double r375054 = y;
        double r375055 = r375053 - r375054;
        double r375056 = 2.0;
        double r375057 = r375055 / r375056;
        double r375058 = r375053 + r375057;
        return r375058;
}

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 2019208 +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)))