Average Error: 0.1 → 0.1
Time: 22.0s
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 r469198 = x;
        double r469199 = y;
        double r469200 = r469198 - r469199;
        double r469201 = 2.0;
        double r469202 = r469200 / r469201;
        double r469203 = r469198 + r469202;
        return r469203;
}

double f(double x, double y) {
        double r469204 = x;
        double r469205 = y;
        double r469206 = r469204 - r469205;
        double r469207 = 2.0;
        double r469208 = r469206 / r469207;
        double r469209 = r469204 + r469208;
        return r469209;
}

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 2019194 
(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)))