Average Error: 0.4 → 0.4
Time: 13.5s
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 r611911 = x;
        double r611912 = 100.0;
        double r611913 = r611911 * r611912;
        double r611914 = y;
        double r611915 = r611911 + r611914;
        double r611916 = r611913 / r611915;
        return r611916;
}

double f(double x, double y) {
        double r611917 = x;
        double r611918 = 100.0;
        double r611919 = r611917 * r611918;
        double r611920 = y;
        double r611921 = r611917 + r611920;
        double r611922 = r611919 / r611921;
        return r611922;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.4
Target0.2
Herbie0.4
\[\frac{x}{1} \cdot \frac{100}{x + y}\]

Derivation

  1. Initial program 0.4

    \[\frac{x \cdot 100}{x + y}\]
  2. Final simplification0.4

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

Reproduce

herbie shell --seed 2019306 
(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)))