Average Error: 0.3 → 0.7
Time: 2.0s
Precision: 64
\[\frac{x}{y \cdot 3}\]
↓
\[\frac{1}{\frac{1}{\frac{\frac{x}{y}}{3}}}\]
\frac{x}{y \cdot 3}
↓
\frac{1}{\frac{1}{\frac{\frac{x}{y}}{3}}}
double f(double x, double y) {
        double r784847 = x;
        double r784848 = y;
        double r784849 = 3.0;
        double r784850 = r784848 * r784849;
        double r784851 = r784847 / r784850;
        return r784851;
}
↓
double f(double x, double y) {
        double r784852 = 1.0;
        double r784853 = x;
        double r784854 = y;
        double r784855 = r784853 / r784854;
        double r784856 = 3.0;
        double r784857 = r784855 / r784856;
        double r784858 = r784852 / r784857;
        double r784859 = r784852 / r784858;
        return r784859;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.2
Herbie0.7
\[\frac{\frac{x}{y}}{3}\]

Derivation

  1. Initial program 0.3

    \[\frac{x}{y \cdot 3}\]
  2. Using strategy rm

  3. Applied associate-/r*0.2

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{3}}\]
  4. Using strategy rm

  5. Applied clear-num0.7

    \[\leadsto \color{blue}{\frac{1}{\frac{3}{\frac{x}{y}}}}\]
  6. Using strategy rm

  7. Applied clear-num0.7

    \[\leadsto \frac{1}{\color{blue}{\frac{1}{\frac{\frac{x}{y}}{3}}}}\]

  8. Final simplification0.7

    \[\leadsto \frac{1}{\frac{1}{\frac{\frac{x}{y}}{3}}}\]

Reproduce

herbie shell --seed 2020100 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

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

  (/ x (* y 3)))