Average Error: 0.0 → 0.1
Time: 3.6s
Precision: binary64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sinh y \cdot \cos x}{y}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\sinh y \cdot \cos x}{y}
(FPCore (x y) :precision binary64 (* (cos x) (/ (sinh y) y)))
↓
(FPCore (x y) :precision binary64 (/ (* (sinh y) (cos x)) y))
double code(double x, double y) {
	return cos(x) * (sinh(y) / y);
}
↓
double code(double x, double y) {
	return (sinh(y) * cos(x)) / 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 associate-*r/_binary640.1

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

  4. Simplified0.1

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

  5. Final simplification0.1

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

Reproduce

herbie shell --seed 2020224 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))