Average Error: 0.5 → 0.4
Time: 2.2s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x - 1.0)))) * ((double) sqrt(x))));
}

↓
double code(double x) {
	return ((double) (x - ((double) (0.5 + ((double) (0.125 / x))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.5
    \[\]
  2. Taylor expanded around inf 0.4
    \[\leadsto \]
  3. Simplified0.4
    \[\leadsto \]
  4. Final simplification0.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020191 
(FPCore (x)
  :name "sqrt times"
  :precision binary64
  (* (sqrt (- x 1.0)) (sqrt x)))