Average Error: 32.0 → 32.0
Time: 774.0ms
Precision: binary64
\[\log \left(x \cdot x + y \cdot y\right)\]
↓
\[\log \left(x \cdot x + y \cdot y\right)\]
\log \left(x \cdot x + y \cdot y\right)
↓
\log \left(x \cdot x + y \cdot y\right)
double code(double x, double y) {
	return ((double) log(((double) (((double) (x * x)) + ((double) (y * y))))));
}
↓
double code(double x, double y) {
	return ((double) log(((double) (((double) (x * x)) + ((double) (y * 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 32.0

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

  2. Final simplification32.0

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

Reproduce

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