Average Error: 40.1 → 40.1
Time: 2.0s
Precision: binary64
\[\frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}\]
↓
\[\frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}\]
\frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}
↓
\frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}
double code(double y) {
	return ((double) (((double) (((double) sqrt(y)) - ((double) sin(((double) sqrt(y)))))) / ((double) (((double) sqrt(y)) * y))));
}
↓
double code(double y) {
	return ((double) (((double) (((double) sqrt(y)) - ((double) sin(((double) sqrt(y)))))) / ((double) (((double) sqrt(y)) * y))));
}

Error

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 40.1

    \[\frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}\]

  2. Final simplification40.1

    \[\leadsto \frac{\sqrt{y} - \sin \left(\sqrt{y}\right)}{\sqrt{y} \cdot y}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (y)
  :name "(/ (- (sqrt y) (sin (sqrt y))) (* (sqrt y) y))"
  :precision binary64
  (/ (- (sqrt y) (sin (sqrt y))) (* (sqrt y) y)))