Average Error: 58.0 → 58.0
Time: 4.6s
Precision: binary64
\[\frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}\]
↓
\[\frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}\]
\frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}
↓
\frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}
double code(double b, double a) {
	return ((double) (((double) (((double) cos(b)) * ((double) (((double) exp(a)) - ((double) (1.0 / ((double) exp(a)))))))) / 2.0));
}
↓
double code(double b, double a) {
	return ((double) (((double) (((double) cos(b)) * ((double) (((double) exp(a)) - ((double) (1.0 / ((double) exp(a)))))))) / 2.0));
}

Error

Bits error versus b

Bits error versus a

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 58.0

    \[\frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}\]

  2. Final simplification58.0

    \[\leadsto \frac{\cos b \cdot \left(e^{a} - \frac{1}{e^{a}}\right)}{2}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (b a)
  :name "(/ (* (cos b) (- (exp a) (/ 1 (exp a)))) 2)"
  :precision binary64
  (/ (* (cos b) (- (exp a) (/ 1.0 (exp a)))) 2.0))