Average Error: 0.1 → 0.1
Time: 20.7s
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 r44516687 = x;
        double r44516688 = y;
        double r44516689 = r44516687 - r44516688;
        double r44516690 = 2.0;
        double r44516691 = r44516689 / r44516690;
        double r44516692 = r44516687 + r44516691;
        return r44516692;
}

double f(double x, double y) {
        double r44516693 = x;
        double r44516694 = y;
        double r44516695 = r44516693 - r44516694;
        double r44516696 = 2.0;
        double r44516697 = r44516695 / r44516696;
        double r44516698 = r44516693 + r44516697;
        return r44516698;
}

Error

Bits error versus x

Bits error versus y

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Results

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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 2019174 
(FPCore (x y)
  :name "Graphics.Rendering.Chart.Axis.Types:hBufferRect from Chart-1.5.3"

  :herbie-target
  (- (* 1.5 x) (* 0.5 y))

  (+ x (/ (- x y) 2.0)))