Average Error: 0.1 → 0.1
Time: 627.0ms
Precision: binary64
\[\frac{2 \cdot x + r}{x + 2 \cdot r}\]
↓
\[\frac{2 \cdot x + r}{x + 2 \cdot r}\]
\frac{2 \cdot x + r}{x + 2 \cdot r}
↓
\frac{2 \cdot x + r}{x + 2 \cdot r}
double code(double x, double r) {
	return ((double) (((double) (((double) (2.0 * x)) + r)) / ((double) (x + ((double) (2.0 * r))))));
}
↓
double code(double x, double r) {
	return ((double) (((double) (((double) (2.0 * x)) + r)) / ((double) (x + ((double) (2.0 * r))))));
}

Error

Bits error versus x

Bits error versus r

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[\frac{2 \cdot x + r}{x + 2 \cdot r}\]

  2. Final simplification0.1

    \[\leadsto \frac{2 \cdot x + r}{x + 2 \cdot r}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x r)
  :name "(/ (+ (* 2 x) r) (+ x (* 2 r)))"
  :precision binary64
  (/ (+ (* 2.0 x) r) (+ x (* 2.0 r))))