Average Error: 29.5 → 29.5
Time: 2.6s
Precision: binary64
\[\log \left(x + y\right) - \log y\]
↓
\[\log \left(x + y\right) - \log y\]
\log \left(x + y\right) - \log y
↓
\log \left(x + y\right) - \log y
double code(double x, double y) {
	return ((double) (((double) log(((double) (x + y)))) - ((double) log(y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) log(((double) (x + y)))) - ((double) log(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 29.5

    \[\log \left(x + y\right) - \log y\]

  2. Final simplification29.5

    \[\leadsto \log \left(x + y\right) - \log y\]

Reproduce

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