Average Error: 13.7 → 0.1
Time: 5.2s
Precision: binary64
\[\frac{\sin x \cdot \sinh y}{x} \]
↓
\[\frac{\sinh y}{\frac{x}{\sin x}} \]
\frac{\sin x \cdot \sinh y}{x}
↓
\frac{\sinh y}{\frac{x}{\sin x}}

(FPCore (x y) :precision binary64 (/ (* (sin x) (sinh y)) x))
↓
(FPCore (x y) :precision binary64 (/ (sinh y) (/ x (sin x))))
double code(double x, double y) {
	return (sin(x) * sinh(y)) / x;
}
↓
double code(double x, double y) {
	return sinh(y) / (x / sin(x));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original13.7
Target0.2
Herbie0.1
\[\sin x \cdot \frac{\sinh y}{x} \]

Derivation

  1. Initial program 13.7

    \[\frac{\sin x \cdot \sinh y}{x} \]

  2. Applied *-commutative_binary6413.7

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

  3. Applied associate-/l*_binary640.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2022067 
(FPCore (x y)
  :name "Linear.Quaternion:$ccosh from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (* (sin x) (/ (sinh y) x))

  (/ (* (sin x) (sinh y)) x))