Average Error: 0.0 → 0.0
Time: 813.0ms
Precision: 64
\[\frac{x}{y \cdot 2}\]
↓
\[\frac{\frac{x}{y}}{2}\]
\frac{x}{y \cdot 2}
↓
\frac{\frac{x}{y}}{2}
double code(double x, double y) {
	return ((double) (x / ((double) (y * 2.0))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x / y)) / 2.0));
}

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

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

  3. Applied associate-/r*0.0

    \[\leadsto \color{blue}{\frac{\frac{x}{y}}{2}}\]

  4. Final simplification0.0

    \[\leadsto \frac{\frac{x}{y}}{2}\]

Reproduce

herbie shell --seed 2020124 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, C"
  :precision binary64
  (/ x (* y 2.0)))