Average Error: 0.2 → 0.2
Time: 1.7s
Precision: 64
\[\frac{x}{y \cdot 3}\]
↓
\[\frac{\frac{x}{3}}{y}\]
\frac{x}{y \cdot 3}
↓
\frac{\frac{x}{3}}{y}
double code(double x, double y) {
	return ((double) (x / ((double) (y * 3.0))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x / 3.0)) / y));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.2

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

  3. Applied *-commutative0.2

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

  4. Applied associate-/r*0.2

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

  5. Final simplification0.2

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

Reproduce

herbie shell --seed 2020113 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

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

  (/ x (* y 3)))