Average Error: 14.0 → 0.8
Time: 4.4s
Precision: binary64
\[\frac{\sin x \cdot \sinh y}{x}\]
↓
\[\frac{\sin x}{\frac{x}{\sinh y}}\]
\frac{\sin x \cdot \sinh y}{x}
↓
\frac{\sin x}{\frac{x}{\sinh y}}
double code(double x, double y) {
	return ((double) (((double) (((double) sin(x)) * ((double) sinh(y)))) / x));
}
↓
double code(double x, double y) {
	return ((double) (((double) sin(x)) / ((double) (x / ((double) sinh(y))))));
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original14.0
Target0.2
Herbie0.8
\[\sin x \cdot \frac{\sinh y}{x}\]

Derivation

  1. Initial program 14.0

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

  2. Simplified0.2

    \[\leadsto \color{blue}{\sin x \cdot \frac{\sinh y}{x}}\]
  3. Using strategy rm

  4. Applied clear-num0.9

    \[\leadsto \sin x \cdot \color{blue}{\frac{1}{\frac{x}{\sinh y}}}\]
  5. Using strategy rm

  6. Applied un-div-inv0.8

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

  7. Final simplification0.8

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

Reproduce

herbie shell --seed 2020179 
(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))