Average Error: 0.0 → 0.0
Time: 1.8s
Precision: binary64
\[\tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)\]
↓
\[\tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)\]
\tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)
↓
\tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)
double code(double a) {
	return ((double) atan(((double) (((double) sqrt(((double) (1.0 - a)))) / ((double) sqrt(a))))));
}
↓
double code(double a) {
	return ((double) atan(((double) (((double) sqrt(((double) (1.0 - a)))) / ((double) sqrt(a))))));
}

Error

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)\]

  2. Final simplification0.0

    \[\leadsto \tan^{-1} \left(\frac{\sqrt{1 - a}}{\sqrt{a}}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (a)
  :name "(atan (/ (sqrt (- 1.0 a)) (sqrt a)))"
  :precision binary64
  (atan (/ (sqrt (- 1.0 a)) (sqrt a))))