Average Error: 0.1 → 0.2
Time: 12.0s
Precision: binary64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\frac{\sin y}{\frac{y}{\cosh x}}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\frac{\sin y}{\frac{y}{\cosh x}}
(FPCore (x y) :precision binary64 (* (cosh x) (/ (sin y) y)))
↓
(FPCore (x y) :precision binary64 (/ (sin y) (/ y (cosh x))))
double code(double x, double y) {
	return cosh(x) * (sin(y) / y);
}
↓
double code(double x, double y) {
	return sin(y) / (y / cosh(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

Original0.1
Target0.1
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

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

  2. Simplified0.2

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

  3. Final simplification0.2

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

Reproduce

herbie shell --seed 2021176 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

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

  (* (cosh x) (/ (sin y) y)))