Average Error: 20.2 → 20.2
Time: 1.8s
Precision: binary64
\[\sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}\]
↓
\[\sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}\]
\sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}
↓
\sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) (((double) sin(((double) (4.0 / x)))) * ((double) M_PI)))))));
}
↓
double code(double x) {
	return ((double) sqrt(((double) (1.0 + ((double) (((double) sin(((double) (4.0 / x)))) * ((double) M_PI)))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 20.2

    \[\sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}\]

  2. Final simplification20.2

    \[\leadsto \sqrt{1 + \sin \left(\frac{4}{x}\right) \cdot \pi}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(sqrt (+ 1 (* (sin (/ 4 x)) PI)))"
  :precision binary64
  (sqrt (+ 1.0 (* (sin (/ 4.0 x)) PI))))