Average Error: 0.2 → 0.2
Time: 1.5s
Precision: 64
\[\frac{x}{y \cdot 3}\]
\[\frac{x}{y \cdot 3}\]
\frac{x}{y \cdot 3}
\frac{x}{y \cdot 3}
double f(double x, double y) {
        double r881709 = x;
        double r881710 = y;
        double r881711 = 3.0;
        double r881712 = r881710 * r881711;
        double r881713 = r881709 / r881712;
        return r881713;
}

double f(double x, double y) {
        double r881714 = x;
        double r881715 = y;
        double r881716 = 3.0;
        double r881717 = r881715 * r881716;
        double r881718 = r881714 / r881717;
        return r881718;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.2
Target0.3
Herbie0.2
\[\frac{\frac{x}{y}}{3}\]

Derivation

  1. Initial program 0.2

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

    \[\leadsto \frac{x}{y \cdot 3}\]

Reproduce

herbie shell --seed 2020056 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3)

  (/ x (* y 3)))