Average Error: 0.1 → 0.1
Time: 18.0s
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 r358154 = x;
        double r358155 = y;
        double r358156 = r358154 - r358155;
        double r358157 = 2.0;
        double r358158 = r358156 / r358157;
        double r358159 = r358154 + r358158;
        return r358159;
}
↓
double f(double x, double y) {
        double r358160 = x;
        double r358161 = y;
        double r358162 = r358160 - r358161;
        double r358163 = 2.0;
        double r358164 = r358162 / r358163;
        double r358165 = r358160 + r358164;
        return r358165;
}

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 2019325 +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)))