Average Error: 15.5 → 15.5
Time: 1.8s
Precision: binary64
\[\frac{1 - \cos t}{2}\]
↓
\[\frac{1 - \cos t}{2}\]
\frac{1 - \cos t}{2}
↓
\frac{1 - \cos t}{2}
double code(double t) {
	return ((double) (((double) (1.0 - ((double) cos(t)))) / 2.0));
}
↓
double code(double t) {
	return ((double) (((double) (1.0 - ((double) cos(t)))) / 2.0));
}

Error

Bits error versus t

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.5

    \[\frac{1 - \cos t}{2}\]

  2. Final simplification15.5

    \[\leadsto \frac{1 - \cos t}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (t)
  :name "(/ (- 1 (cos t)) 2)"
  :precision binary64
  (/ (- 1.0 (cos t)) 2.0))