(+ (log x) (log y))

Average Error: 0.6 → 0.6

Time: 2.0s

Precision: binary64

Math

\[\log x + \log y\]

↓

\[\log x + \log y\]

C

double code(double x, double y) {
	return ((double) (((double) log(x)) + ((double) log(y))));
}

↓

double code(double x, double y) {
	return ((double) (((double) log(x)) + ((double) log(y))));
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.6

   \[\log x + \log y\]

2. Final simplification 0.6

   \[\leadsto \log x + \log y\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(+ (log x) (log y))"
  :precision binary64
  (+ (log x) (log y)))