(- (log x) (log (sinh x)))

Average Error: 30.4 → 30.4

Time: 10.5s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 4.779635245003568e+78

Math

\[\log x - \log \left(\sinh x\right)\]

↓

\[\log x - \log \left(\sinh x\right)\]

C

double code(double x) {
	return ((double) (((double) log(x)) - ((double) log(((double) sinh(x))))));
}

↓

double code(double x) {
	return ((double) (((double) log(x)) - ((double) log(((double) sinh(x))))));
}

Error

Bits error versus x

Derivation

1. Initial program 30.4

   \[\log x - \log \left(\sinh x\right)\]

2. Final simplification 30.4

   \[\leadsto \log x - \log \left(\sinh x\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (log x) (log (sinh x)))"
  :precision binary64
  (- (log x) (log (sinh x))))