Average Error: 0.1 → 0.1
Time: 756.0ms
Precision: binary64
\[\frac{\left(r + g\right) - 2 \cdot b}{9}\]
↓
\[\frac{\left(r + g\right) - 2 \cdot b}{9}\]
\frac{\left(r + g\right) - 2 \cdot b}{9}
↓
\frac{\left(r + g\right) - 2 \cdot b}{9}
double code(double r, double g, double b) {
	return ((double) (((double) (((double) (r + g)) - ((double) (2.0 * b)))) / 9.0));
}
↓
double code(double r, double g, double b) {
	return ((double) (((double) (((double) (r + g)) - ((double) (2.0 * b)))) / 9.0));
}

Error

Bits error versus r

Bits error versus g

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{\left(r + g\right) - 2 \cdot b}{9}\]

  2. Final simplification0.1

    \[\leadsto \frac{\left(r + g\right) - 2 \cdot b}{9}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (r g b)
  :name "(/ (- (+ r g) (* 2 b)) 9)"
  :precision binary64
  (/ (- (+ r g) (* 2.0 b)) 9.0))