Average Error: 29.2 → 29.2
Time: 2.8s
Precision: binary64
\[\log \left(e^{x} + e^{y}\right)\]
↓
\[\log \left(e^{x} + e^{y}\right)\]
\log \left(e^{x} + e^{y}\right)
↓
\log \left(e^{x} + e^{y}\right)
double code(double x, double y) {
	return ((double) log(((double) (((double) exp(x)) + ((double) exp(y))))));
}
↓
double code(double x, double y) {
	return ((double) log(((double) (((double) exp(x)) + ((double) exp(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 29.2

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

  2. Final simplification29.2

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

Reproduce

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