(+ (log (log x)) (sin x))

Average Error: 0.3 → 0.3

Time: 4.3s

Precision: binary64

Math

\[\log \left(\log x\right) + \sin x\]

↓

\[\log \left(\log x\right) + \sin x\]

C

double code(double x) {
	return ((double) (((double) log(((double) log(x)))) + ((double) sin(x))));
}

↓

double code(double x) {
	return ((double) (((double) log(((double) log(x)))) + ((double) sin(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.3

   \[\log \left(\log x\right) + \sin x\]

2. Final simplification 0.3

   \[\leadsto \log \left(\log x\right) + \sin x\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (log (log x)) (sin x))"
  :precision binary64
  (+ (log (log x)) (sin x)))