Average Error: 0.5 → 0.5
Time: 1.0s
Precision: binary64
\[\sin \left(\tan^{-1} \left({2}^{x}\right)\right)\]
↓
\[\sin \left(\tan^{-1} \left({2}^{x}\right)\right)\]
\sin \left(\tan^{-1} \left({2}^{x}\right)\right)
↓
\sin \left(\tan^{-1} \left({2}^{x}\right)\right)
double code(double x) {
	return ((double) sin(((double) atan(((double) pow(2.0, x))))));
}
↓
double code(double x) {
	return ((double) sin(((double) atan(((double) pow(2.0, x))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.5

    \[\sin \left(\tan^{-1} \left({2}^{x}\right)\right)\]

  2. Final simplification0.5

    \[\leadsto \sin \left(\tan^{-1} \left({2}^{x}\right)\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sin (atan (pow 2 x)))"
  :precision binary64
  (sin (atan (pow 2.0 x))))