Average Error: 0.0 → 0.0
Time: 1.3s
Precision: binary64
\[\frac{\sin \left(\cos^{-1} x\right)}{\cos^{-1} x}\]
↓
\[\frac{\sin \left(\cos^{-1} x\right)}{\cos^{-1} x}\]
\frac{\sin \left(\cos^{-1} x\right)}{\cos^{-1} x}
↓
\frac{\sin \left(\cos^{-1} x\right)}{\cos^{-1} x}
double code(double x) {
	return ((double) (((double) sin(((double) acos(x)))) / ((double) acos(x))));
}
↓
double code(double x) {
	return ((double) (((double) sin(((double) acos(x)))) / ((double) acos(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

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