Average Error: 0.3 → 0.3
Time: 1.3s
Precision: binary64
\[\frac{x}{y \cdot 3} \]
↓
\[\frac{\frac{x}{y}}{3} \]
\frac{x}{y \cdot 3}
↓
\frac{\frac{x}{y}}{3}

(FPCore (x y) :precision binary64 (/ x (* y 3.0)))
↓
(FPCore (x y) :precision binary64 (/ (/ x y) 3.0))
double code(double x, double y) {
	return x / (y * 3.0);
}
↓
double code(double x, double y) {
	return (x / y) / 3.0;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.3

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

  2. Applied associate-/r*_binary640.3

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

  3. Final simplification0.3

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

Reproduce

herbie shell --seed 2022020 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, C"
  :precision binary64

  :herbie-target
  (/ (/ x y) 3.0)

  (/ x (* y 3.0)))