Average Error: 0.3 → 0.3
Time: 2.4s
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 r742408 = x;
        double r742409 = y;
        double r742410 = 3.0;
        double r742411 = r742409 * r742410;
        double r742412 = r742408 / r742411;
        return r742412;
}
↓
double f(double x, double y) {
        double r742413 = x;
        double r742414 = y;
        double r742415 = 3.0;
        double r742416 = r742414 * r742415;
        double r742417 = r742413 / r742416;
        return r742417;
}

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

Derivation

  1. Initial program 0.3

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

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020001 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

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

  (/ x (* y 3)))