Average Error: 0.0 → 0.0
Time: 1.4s
Precision: binary64
\[\frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}\]
↓
\[\frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}\]
\frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}
↓
\frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - ((double) pow(x, 2.0)))))) / ((double) acos(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 - ((double) pow(x, 2.0)))))) / ((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

    \[\frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}\]

  2. Final simplification0.0

    \[\leadsto \frac{\sqrt{1 - {x}^{2}}}{\cos^{-1} x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (sqrt (- 1 (pow x 2))) (acos x))"
  :precision binary64
  (/ (sqrt (- 1.0 (pow x 2.0))) (acos x)))