Average Error: 62.4 → 62.4
Time: 3.2s
Precision: binary64
\[\frac{\sin^{-1} x - x}{{x}^{3}}\]
↓
\[\frac{\sin^{-1} x - x}{{x}^{3}}\]
\frac{\sin^{-1} x - x}{{x}^{3}}
↓
\frac{\sin^{-1} x - x}{{x}^{3}}
double code(double x) {
	return ((double) (((double) (((double) asin(x)) - x)) / ((double) pow(x, 3.0))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) asin(x)) - x)) / ((double) pow(x, 3.0))));
}

Error

Bits error versus x

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Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 62.4

    \[\frac{\sin^{-1} x - x}{{x}^{3}}\]

  2. Final simplification62.4

    \[\leadsto \frac{\sin^{-1} x - x}{{x}^{3}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(/ (- (asin x) x) (pow x 3))"
  :precision binary64
  (/ (- (asin x) x) (pow x 3.0)))