Average Error: 0.0 → 0.0
Time: 2.4s
Precision: 64
\[\frac{x}{y \cdot 2.0}\]
↓
\[\frac{\frac{x}{2.0}}{y}\]
\frac{x}{y \cdot 2.0}
↓
\frac{\frac{x}{2.0}}{y}
double f(double x, double y) {
        double r19149776 = x;
        double r19149777 = y;
        double r19149778 = 2.0;
        double r19149779 = r19149777 * r19149778;
        double r19149780 = r19149776 / r19149779;
        return r19149780;
}
↓
double f(double x, double y) {
        double r19149781 = x;
        double r19149782 = 2.0;
        double r19149783 = r19149781 / r19149782;
        double r19149784 = y;
        double r19149785 = r19149783 / r19149784;
        return r19149785;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x}{y \cdot 2.0}\]
  2. Using strategy rm

  3. Applied *-commutative0.0

    \[\leadsto \frac{x}{\color{blue}{2.0 \cdot y}}\]

  4. Applied associate-/r*0.0

    \[\leadsto \color{blue}{\frac{\frac{x}{2.0}}{y}}\]

  5. Final simplification0.0

    \[\leadsto \frac{\frac{x}{2.0}}{y}\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  (/ x (* y 2.0)))