Average Error: 0.3 → 0.3
Time: 1.4s
Precision: binary64
\[\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]
↓
\[\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}\]
\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}
↓
\frac{x \cdot \cos^{-1} x}{\sin \left(\cos^{-1} x\right)}
double code(double x) {
	return ((double) (((double) (x * ((double) acos(x)))) / ((double) sin(((double) acos(x))))));
}
↓
double code(double x) {
	return ((double) (((double) (x * ((double) acos(x)))) / ((double) sin(((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 0.3

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

  2. Final simplification0.3

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

Reproduce

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