Average Error: 0.2 → 0.2
Time: 1.7s
Precision: binary64
\[\frac{x}{y \cdot 3}\]
↓
\[\frac{x}{y \cdot 3}\]
\frac{x}{y \cdot 3}
↓
\frac{x}{y \cdot 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 / ((double) (y * 3.0)));
}
↓
double code(double x, double y) {
	return (x / ((double) (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

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

Derivation

  1. Initial program Error: 0.2 bits

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

  2. Final simplificationError: 0.2 bits

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

Reproduce

herbie shell --seed 2020204 
(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)))