Average Error: 0.1 → 0.1
Time: 19.4s
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 r432028 = x;
        double r432029 = y;
        double r432030 = r432028 - r432029;
        double r432031 = 2.0;
        double r432032 = r432030 / r432031;
        double r432033 = r432028 + r432032;
        return r432033;
}
↓
double f(double x, double y) {
        double r432034 = x;
        double r432035 = y;
        double r432036 = r432034 - r432035;
        double r432037 = 2.0;
        double r432038 = r432036 / r432037;
        double r432039 = r432034 + r432038;
        return r432039;
}

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 2019322 
(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)))