Average Error: 0.1 → 0.1
Time: 13.5s
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 r487391 = x;
        double r487392 = y;
        double r487393 = r487391 - r487392;
        double r487394 = 2.0;
        double r487395 = r487393 / r487394;
        double r487396 = r487391 + r487395;
        return r487396;
}

double f(double x, double y) {
        double r487397 = x;
        double r487398 = y;
        double r487399 = r487397 - r487398;
        double r487400 = 2.0;
        double r487401 = r487399 / r487400;
        double r487402 = r487397 + r487401;
        return r487402;
}

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 2019291 
(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)))