(log (sinh (exp x)))

Average Error: 2.2 → 2.2

Time: 1.2s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 2872.6372031135757

Math

\[\log \left(\sinh \left(e^{x}\right)\right)\]

↓

\[\log \left(\sinh \left(e^{x}\right)\right)\]

C

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

↓

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

Error

Bits error versus x

Derivation

1. Initial program 2.2

   \[\log \left(\sinh \left(e^{x}\right)\right)\]

2. Final simplification 2.2

   \[\leadsto \log \left(\sinh \left(e^{x}\right)\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(log (sinh (exp x)))"
  :precision binary64
  (log (sinh (exp x))))