Average Error: 29.4 → 0.2
Time: 3.8s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (x + 1.0)))) - ((double) sqrt(x))));
}

↓
double code(double x) {
	return ((double) (1.0 / ((double) (((double) sqrt(((double) (1.0 + x)))) + ((double) sqrt(x))))));
}

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Target
Original29.4
Target0.2
Herbie0.2
\[\]
Derivation
  1. Initial program 29.4
    \[\]
  2. Using strategy rm
  3. Applied flip--29.2
    \[\leadsto \]
  4. Simplified0.2
    \[\leadsto \]
  5. Final simplification0.2
    \[\leadsto \]
Reproduce
herbie shell --seed 2020192 
(FPCore (x)
  :name "Main:bigenough3 from C"
  :precision binary64

  :herbie-target
  (/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

  (- (sqrt (+ x 1.0)) (sqrt x)))