Average Error: 0.1 → 0.1
Time: 5.0s
Precision: binary64
\[\cos^{-1} \left(\frac{\sin x}{\sin y}\right)\]
↓
\[\cos^{-1} \left(\frac{\sin x}{\sin y}\right)\]
\cos^{-1} \left(\frac{\sin x}{\sin y}\right)
↓
\cos^{-1} \left(\frac{\sin x}{\sin y}\right)
double code(double x, double y) {
	return ((double) acos(((double) (((double) sin(x)) / ((double) sin(y))))));
}
↓
double code(double x, double y) {
	return ((double) acos(((double) (((double) sin(x)) / ((double) sin(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 0.1

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x y)
  :name "(acos (/ (sin x) (sin y)))"
  :precision binary64
  (acos (/ (sin x) (sin y))))