Average Error: 7.7 → 7.7
Time: 757.0ms
Precision: binary64
\[\frac{x}{x \cdot \left(1 - k\right) + k}\]
↓
\[\frac{x}{x \cdot \left(1 - k\right) + k}\]
\frac{x}{x \cdot \left(1 - k\right) + k}
↓
\frac{x}{x \cdot \left(1 - k\right) + k}
double code(double x, double k) {
	return ((double) (x / ((double) (((double) (x * ((double) (1.0 - k)))) + k))));
}
↓
double code(double x, double k) {
	return ((double) (x / ((double) (((double) (x * ((double) (1.0 - k)))) + k))));
}

Error

Bits error versus x

Bits error versus k

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 7.7

    \[\frac{x}{x \cdot \left(1 - k\right) + k}\]

  2. Final simplification7.7

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x k)
  :name "(/ x (+ (* x (- 1 k)) k))"
  :precision binary64
  (/ x (+ (* x (- 1.0 k)) k)))