Average Error: 0.7 → 0.7
Time: 805.0ms
Precision: binary64
\[1 - \frac{\sqrt{2 - 2 \cdot x}}{2}\]
↓
\[1 - \frac{\sqrt{2 - 2 \cdot x}}{2}\]
1 - \frac{\sqrt{2 - 2 \cdot x}}{2}
↓
1 - \frac{\sqrt{2 - 2 \cdot x}}{2}
double code(double x) {
	return ((double) (1.0 - ((double) (((double) sqrt(((double) (2.0 - ((double) (2.0 * x)))))) / 2.0))));
}
↓
double code(double x) {
	return ((double) (1.0 - ((double) (((double) sqrt(((double) (2.0 - ((double) (2.0 * x)))))) / 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.7

    \[1 - \frac{\sqrt{2 - 2 \cdot x}}{2}\]

  2. Final simplification0.7

    \[\leadsto 1 - \frac{\sqrt{2 - 2 \cdot x}}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- 1 (/ (sqrt (- 2 (* 2 x))) 2))"
  :precision binary64
  (- 1.0 (/ (sqrt (- 2.0 (* 2.0 x))) 2.0)))