Average Error: 0.2 → 0.2
Time: 1.3s
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 r653218 = x;
        double r653219 = y;
        double r653220 = 3.0;
        double r653221 = r653219 * r653220;
        double r653222 = r653218 / r653221;
        return r653222;
}

double f(double x, double y) {
        double r653223 = x;
        double r653224 = y;
        double r653225 = 3.0;
        double r653226 = r653224 * r653225;
        double r653227 = r653223 / r653226;
        return r653227;
}

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 2020027 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

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

  (/ x (* y 3)))