Average Error: 19.6 → 19.6
Time: 1.6s
Precision: binary64
\[\cos^{-1} \left(\frac{x}{x + y}\right)\]
↓
\[\cos^{-1} \left(\frac{x}{x + y}\right)\]
\cos^{-1} \left(\frac{x}{x + y}\right)
↓
\cos^{-1} \left(\frac{x}{x + y}\right)
double code(double x, double y) {
	return ((double) acos(((double) (x / ((double) (x + y))))));
}
↓
double code(double x, double y) {
	return ((double) acos(((double) (x / ((double) (x + 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 19.6

    \[\cos^{-1} \left(\frac{x}{x + y}\right)\]

  2. Final simplification19.6

    \[\leadsto \cos^{-1} \left(\frac{x}{x + y}\right)\]

Reproduce

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