Average Error: 0.0 → 0.0
Time: 2.5s
Precision: binary64
\[\cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)\]
↓
\[\cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)\]
\cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)
↓
\cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)
double code(double a, double b) {
	return ((double) cos(((double) (((double) (((double) acos(a)) - ((double) acos(b)))) * 0.5))));
}
↓
double code(double a, double b) {
	return ((double) cos(((double) (((double) (((double) acos(a)) - ((double) acos(b)))) * 0.5))));
}

Error

Bits error versus a

Bits error versus b

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)\]

  2. Final simplification0.0

    \[\leadsto \cos \left(\left(\cos^{-1} a - \cos^{-1} b\right) \cdot 0.5\right)\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a b)
  :name "(cos (* (- (acos a) (acos b)) 0.5))"
  :precision binary64
  (cos (* (- (acos a) (acos b)) 0.5)))