Average Error: 26.9 → 26.9
Time: 1.6s
Precision: binary64
\[\frac{\cos \left(\pi \cdot n\right)}{a - b}\]
↓
\[\frac{\cos \left(\pi \cdot n\right)}{a - b}\]
\frac{\cos \left(\pi \cdot n\right)}{a - b}
↓
\frac{\cos \left(\pi \cdot n\right)}{a - b}
double code(double n, double a, double b) {
	return ((double) (((double) cos(((double) (((double) M_PI) * n)))) / ((double) (a - b))));
}
↓
double code(double n, double a, double b) {
	return ((double) (((double) cos(((double) (((double) M_PI) * n)))) / ((double) (a - b))));
}

Error

Bits error versus n

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 26.9

    \[\frac{\cos \left(\pi \cdot n\right)}{a - b}\]

  2. Final simplification26.9

    \[\leadsto \frac{\cos \left(\pi \cdot n\right)}{a - b}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (n a b)
  :name "(/ (cos (* PI n)) (- a b))"
  :precision binary64
  (/ (cos (* PI n)) (- a b)))