Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\cos x + \frac{\sin^{-1} x}{2}\]
↓
\[\cos x + \frac{\sin^{-1} x}{2}\]
\cos x + \frac{\sin^{-1} x}{2}
↓
\cos x + \frac{\sin^{-1} x}{2}
double code(double x) {
	return ((double) (((double) cos(x)) + ((double) (((double) asin(x)) / 2.0))));
}
↓
double code(double x) {
	return ((double) (((double) cos(x)) + ((double) (((double) asin(x)) / 2.0))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

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Derivation

  1. Initial program 0.0

    \[\cos x + \frac{\sin^{-1} x}{2}\]

  2. Final simplification0.0

    \[\leadsto \cos x + \frac{\sin^{-1} x}{2}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(+ (cos x) (/ (asin x) 2))"
  :precision binary64
  (+ (cos x) (/ (asin x) 2.0)))