Average Error: 0.0 → 0.0
Time: 6.2s
Precision: binary64
\[\cos x \cdot \frac{\sinh y}{y} \]
↓
\[\frac{\cos x}{\frac{y}{\sinh y}} \]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{\frac{y}{\sinh y}}

(FPCore (x y) :precision binary64 (* (cos x) (/ (sinh y) y)))
↓
(FPCore (x y) :precision binary64 (/ (cos x) (/ y (sinh y))))
double code(double x, double y) {
	return cos(x) * (sinh(y) / y);
}
↓
double code(double x, double y) {
	return cos(x) / (y / sinh(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. Applied associate-*r/_binary640.1

    \[\leadsto \color{blue}{\frac{\cos x \cdot \sinh y}{y}} \]

  3. Applied associate-/l*_binary640.0

    \[\leadsto \color{blue}{\frac{\cos x}{\frac{y}{\sinh y}}} \]

  4. Final simplification0.0

    \[\leadsto \frac{\cos x}{\frac{y}{\sinh y}} \]

Reproduce

herbie shell --seed 2022077 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))