Average Error: 0.3 → 0.3
Time: 2.6s
Precision: 64
\[\frac{x \cdot 100}{x + y}\]
\[\frac{x \cdot 100}{x + y}\]
\frac{x \cdot 100}{x + y}
\frac{x \cdot 100}{x + y}
double f(double x, double y) {
        double r743811 = x;
        double r743812 = 100.0;
        double r743813 = r743811 * r743812;
        double r743814 = y;
        double r743815 = r743811 + r743814;
        double r743816 = r743813 / r743815;
        return r743816;
}

double f(double x, double y) {
        double r743817 = x;
        double r743818 = 100.0;
        double r743819 = r743817 * r743818;
        double r743820 = y;
        double r743821 = r743817 + r743820;
        double r743822 = r743819 / r743821;
        return r743822;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.3
Target0.2
Herbie0.3
\[\frac{x}{1} \cdot \frac{100}{x + y}\]

Derivation

  1. Initial program 0.3

    \[\frac{x \cdot 100}{x + y}\]
  2. Final simplification0.3

    \[\leadsto \frac{x \cdot 100}{x + y}\]

Reproduce

herbie shell --seed 2019356 
(FPCore (x y)
  :name "Development.Shake.Progress:message from shake-0.15.5"
  :precision binary64

  :herbie-target
  (* (/ x 1) (/ 100 (+ x y)))

  (/ (* x 100) (+ x y)))