Average Error: 18.1 → 18.1
Time: 15.5s
Precision: binary64
\[{\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}\]
↓
\[{\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}\]
{\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}
↓
{\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}
double code(double x) {
	return ((double) pow(((double) sin(((double) (2.0 * ((double) cos(((double) sqrt(x)))))))), ((double) M_E)));
}
↓
double code(double x) {
	return ((double) pow(((double) sin(((double) (2.0 * ((double) cos(((double) sqrt(x)))))))), ((double) M_E)));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 18.1

    \[{\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}\]

  2. Final simplification18.1

    \[\leadsto {\left(\sin \left(2 \cdot \cos \left(\sqrt{x}\right)\right)\right)}^{e}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(pow (sin (* 2 (cos (sqrt x)))) E)"
  :precision binary64
  (pow (sin (* 2.0 (cos (sqrt x)))) E))