Average Error: 0.1 → 0.1
Time: 11.5s
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 r403186 = x;
        double r403187 = y;
        double r403188 = r403186 - r403187;
        double r403189 = 2.0;
        double r403190 = r403188 / r403189;
        double r403191 = r403186 + r403190;
        return r403191;
}

double f(double x, double y) {
        double r403192 = x;
        double r403193 = y;
        double r403194 = r403192 - r403193;
        double r403195 = 2.0;
        double r403196 = r403194 / r403195;
        double r403197 = r403192 + r403196;
        return r403197;
}

Error

Bits error versus x

Bits error versus y

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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 2019323 
(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)))