(cos (exp x))

Average Error: 0.2 → 0.2

Time: 1.0s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 2.7279434923395366e+116

Math

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

↓

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

C

double code(double x) {
	return ((double) cos(((double) exp(x))));
}

↓

double code(double x) {
	return ((double) cos(((double) exp(x))));
}

Error

Bits error versus x

Derivation

1. Initial program 0.2

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

2. Final simplification 0.2

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

Reproduce

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