Average Error: 30.9 → 30.9
Time: 3.2s
Precision: binary64
\[\frac{\frac{\frac{x - \sin x}{x}}{x}}{x}\]
↓
\[\frac{\frac{\frac{x - \sin x}{x}}{x}}{x}\]
\frac{\frac{\frac{x - \sin x}{x}}{x}}{x}
↓
\frac{\frac{\frac{x - \sin x}{x}}{x}}{x}
double code(double x) {
	return ((double) (((double) (((double) (((double) (x - ((double) sin(x)))) / x)) / x)) / x));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) (x - ((double) sin(x)))) / x)) / x)) / x));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 30.9

    \[\frac{\frac{\frac{x - \sin x}{x}}{x}}{x}\]

  2. Final simplification30.9

    \[\leadsto \frac{\frac{\frac{x - \sin x}{x}}{x}}{x}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ (/ (/ (- x (sin x)) x) x) x)"
  :precision binary64
  (/ (/ (/ (- x (sin x)) x) x) x))