Average Error: 0.0 → 0.0
Time: 555.0ms
Precision: binary64
\[\tan^{-1} \left(\frac{b}{a}\right)\]
↓
\[\tan^{-1} \left(\frac{b}{a}\right)\]
\tan^{-1} \left(\frac{b}{a}\right)
↓
\tan^{-1} \left(\frac{b}{a}\right)
double code(double b, double a) {
	return ((double) atan(((double) (b / a))));
}
↓
double code(double b, double a) {
	return ((double) atan(((double) (b / a))));
}

Error

Bits error versus b

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

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

  2. Final simplification0.0

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

Reproduce

herbie shell --seed 2020153 
(FPCore (b a)
  :name "(atan (/ b a))"
  :precision binary64
  (atan (/ b a)))