Average Error: 0 → 0
Time: 1.9s
Precision: binary64
\[\cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)\]
↓
\[\cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)\]
\cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)
↓
\cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)
double code(double y, double x) {
	return ((double) cosh(((double) (((double) log(((double) (((double) (1.0 + ((double) (y / x)))) / ((double) (1.0 - ((double) (y / x)))))))) / 4.0))));
}
↓
double code(double y, double x) {
	return ((double) cosh(((double) (((double) log(((double) (((double) (1.0 + ((double) (y / x)))) / ((double) (1.0 - ((double) (y / x)))))))) / 4.0))));
}

Error

Bits error versus y

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)\]

  2. Final simplification0

    \[\leadsto \cosh \left(\frac{\log \left(\frac{1 + \frac{y}{x}}{1 - \frac{y}{x}}\right)}{4}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (y x)
  :name "(cosh (/ (log (/ (+ 1 (/ y x)) (- 1 (/ y x)))) 4))"
  :precision binary64
  (cosh (/ (log (/ (+ 1.0 (/ y x)) (- 1.0 (/ y x)))) 4.0)))