Average Error: 0.0 → 0.0
Time: 20.3s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}
double f(double x, double y) {
        double r12045676 = x;
        double r12045677 = sin(r12045676);
        double r12045678 = y;
        double r12045679 = sinh(r12045678);
        double r12045680 = r12045679 / r12045678;
        double r12045681 = r12045677 * r12045680;
        return r12045681;
}
↓
double f(double x, double y) {
        double r12045682 = x;
        double r12045683 = sin(r12045682);
        double r12045684 = 1.0;
        double r12045685 = y;
        double r12045686 = sinh(r12045685);
        double r12045687 = r12045686 / r12045685;
        double r12045688 = r12045684 / r12045687;
        double r12045689 = r12045683 / r12045688;
        return r12045689;
}

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

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

  3. Applied clear-num0.0

    \[\leadsto \sin x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]

  4. Applied un-div-inv0.0

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

  6. Applied clear-num0.0

    \[\leadsto \frac{\sin x}{\color{blue}{\frac{1}{\frac{\sinh y}{y}}}}\]

  7. Final simplification0.0

    \[\leadsto \frac{\sin x}{\frac{1}{\frac{\sinh y}{y}}}\]

Reproduce

herbie shell --seed 2019158 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))