Average Error: 0.0 → 0.1
Time: 1.8s
Precision: binary64
\[\frac{x + y}{y + 1}\]
↓
\[\left(x + y\right) \cdot \frac{1}{y + 1}\]
\frac{x + y}{y + 1}
↓
\left(x + y\right) \cdot \frac{1}{y + 1}
double code(double x, double y) {
	return ((double) (((double) (x + y)) / ((double) (y + 1.0))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (x + y)) * ((double) (1.0 / ((double) (y + 1.0))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{x + y}{y + 1}\]
  2. Using strategy rm

  3. Applied div-inv0.1

    \[\leadsto \color{blue}{\left(x + y\right) \cdot \frac{1}{y + 1}}\]

  4. Final simplification0.1

    \[\leadsto \left(x + y\right) \cdot \frac{1}{y + 1}\]

Reproduce

herbie shell --seed 2020162 
(FPCore (x y)
  :name "Data.Colour.SRGB:invTransferFunction from colour-2.3.3"
  :precision binary64
  (/ (+ x y) (+ y 1.0)))