Average Error: 0.0 → 0.3
Time: 4.0s
Precision: binary64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\left(\cos x \cdot \sinh y\right) \cdot \frac{1}{y}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\left(\cos x \cdot \sinh y\right) \cdot \frac{1}{y}
double code(double x, double y) {
	return ((double) (((double) cos(x)) * ((double) (((double) sinh(y)) / y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) cos(x)) * ((double) sinh(y)))) * ((double) (1.0 / y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\cos x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied div-inv0.2

    \[\leadsto \cos x \cdot \color{blue}{\left(\sinh y \cdot \frac{1}{y}\right)}\]

  4. Applied associate-*r*0.3

    \[\leadsto \color{blue}{\left(\cos x \cdot \sinh y\right) \cdot \frac{1}{y}}\]

  5. Final simplification0.3

    \[\leadsto \left(\cos x \cdot \sinh y\right) \cdot \frac{1}{y}\]

Reproduce

herbie shell --seed 2020175 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))