Average Error: 0.2 → 0.2
Time: 4.2s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\left(\sqrt{\cosh x} \cdot \sqrt{\cosh x}\right) \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\left(\sqrt{\cosh x} \cdot \sqrt{\cosh x}\right) \cdot \frac{\sin y}{y}
double code(double x, double y) {
	return ((double) (((double) cosh(x)) * ((double) (((double) sin(y)) / y))));
}
↓
double code(double x, double y) {
	return ((double) (((double) (((double) sqrt(((double) cosh(x)))) * ((double) sqrt(((double) cosh(x)))))) * ((double) (((double) sin(y)) / y))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

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

Derivation

  1. Initial program 0.2

    \[\cosh x \cdot \frac{\sin y}{y}\]
  2. Using strategy rm

  3. Applied add-sqr-sqrt0.2

    \[\leadsto \color{blue}{\left(\sqrt{\cosh x} \cdot \sqrt{\cosh x}\right)} \cdot \frac{\sin y}{y}\]

  4. Final simplification0.2

    \[\leadsto \left(\sqrt{\cosh x} \cdot \sqrt{\cosh x}\right) \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2020128 
(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)))