Average Error: 0.2 → 0.3
Time: 2.4s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x) {
	return ((double) (x / ((double) (1.0 + ((double) sqrt(((double) (x + 1.0))))))));
}

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

Error
Bits error versus x
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 0.2
    \[\]
  2. Using strategy rm
  3. Applied add-cube-cbrt0.3
    \[\leadsto \]
  4. Applied sqrt-prod0.3
    \[\leadsto \]
  5. Simplified0.3
    \[\leadsto \]
  6. Final simplification0.3
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x)
  :name "Numeric.Log:$clog1p from log-domain-0.10.2.1, B"
  :precision binary64
  (/ x (+ 1.0 (sqrt (+ x 1.0)))))