Average Error: 0.1 → 0.1
Time: 18.5s
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 r505364 = x;
        double r505365 = y;
        double r505366 = r505364 - r505365;
        double r505367 = 2.0;
        double r505368 = r505366 / r505367;
        double r505369 = r505364 + r505368;
        return r505369;
}

double f(double x, double y) {
        double r505370 = x;
        double r505371 = y;
        double r505372 = r505370 - r505371;
        double r505373 = 2.0;
        double r505374 = r505372 / r505373;
        double r505375 = r505370 + r505374;
        return r505375;
}

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 2019303 
(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)))