Average Error: 0.1 → 0.1
Time: 5.4s
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 r730648 = x;
        double r730649 = y;
        double r730650 = r730648 - r730649;
        double r730651 = 2.0;
        double r730652 = r730650 / r730651;
        double r730653 = r730648 + r730652;
        return r730653;
}

double f(double x, double y) {
        double r730654 = x;
        double r730655 = y;
        double r730656 = r730654 - r730655;
        double r730657 = 2.0;
        double r730658 = r730656 / r730657;
        double r730659 = r730654 + r730658;
        return r730659;
}

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 2020060 
(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)))