(cos (+ (log x) (exp2 x)))

Average Error: 6.2 → 6.2

Time: 7.3s

Precision: binary64

• could not determine a ground truth for program body

  1. x = 4.779635245003568e+78

Math

\[\cos \left(\log x + 2^{x}\right)\]

↓

\[\cos \left(\log x + 2^{x}\right)\]

C

double code(double x) {
	return ((double) cos(((double) (((double) log(x)) + ((double) exp2(x))))));
}

↓

double code(double x) {
	return ((double) cos(((double) (((double) log(x)) + ((double) exp2(x))))));
}

Error

Bits error versus x

Derivation

1. Initial program 6.2

   \[\cos \left(\log x + 2^{x}\right)\]

2. Final simplification 6.2

   \[\leadsto \cos \left(\log x + 2^{x}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(cos (+ (log x) (exp2 x)))"
  :precision binary64
  (cos (+ (log x) (exp2 x))))