Average Error: 0.0 → 0.0
Time: 32.2s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\sin x}{\frac{y}{\sinh y}}\]
\sin x \cdot \frac{\sinh y}{y}
↓
\frac{\sin x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r130117 = x;
        double r130118 = sin(r130117);
        double r130119 = y;
        double r130120 = sinh(r130119);
        double r130121 = r130120 / r130119;
        double r130122 = r130118 * r130121;
        return r130122;
}
↓
double f(double x, double y) {
        double r130123 = x;
        double r130124 = sin(r130123);
        double r130125 = y;
        double r130126 = sinh(r130125);
        double r130127 = r130125 / r130126;
        double r130128 = r130124 / r130127;
        return r130128;
}

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 associate-*r/14.4

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  :precision binary64
  (* (sin x) (/ (sinh y) y)))