Average Error: 0.1 → 0.1
Time: 6.4s
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 r623144 = x;
        double r623145 = y;
        double r623146 = r623144 - r623145;
        double r623147 = 2.0;
        double r623148 = r623146 / r623147;
        double r623149 = r623144 + r623148;
        return r623149;
}
↓
double f(double x, double y) {
        double r623150 = x;
        double r623151 = y;
        double r623152 = r623150 - r623151;
        double r623153 = 2.0;
        double r623154 = r623152 / r623153;
        double r623155 = r623150 + r623154;
        return r623155;
}

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 2020001 
(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)))