(log (cosh x))

Average Error: 30.3 → 30.3

Time: 6.8s

Precision: binary64

• could not determine a ground truth for program body

  1. x = -61476344590.049736

Math

\[\log \left(\cosh x\right)\]

↓

\[\log \left(\cosh x\right)\]

C

double code(double x) {
	return ((double) log(((double) cosh(x))));
}

↓

double code(double x) {
	return ((double) log(((double) cosh(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 30.3

   \[\log \left(\cosh x\right)\]

2. Final simplification 30.3

   \[\leadsto \log \left(\cosh x\right)\]

Reproduce

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