Average Error: 0 → 0
Time: 499.0ms
Precision: binary64
\[\cos^{-1} \left(\frac{\left|x\right|}{x}\right)\]
\[\cos^{-1} \left(\frac{\left|x\right|}{x}\right)\]
\cos^{-1} \left(\frac{\left|x\right|}{x}\right)
\cos^{-1} \left(\frac{\left|x\right|}{x}\right)
double code(double x) {
	return ((double) acos(((double) (((double) fabs(x)) / x))));
}
double code(double x) {
	return ((double) acos(((double) (((double) fabs(x)) / x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\cos^{-1} \left(\frac{\left|x\right|}{x}\right)\]
  2. Final simplification0

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

Reproduce

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