Average Error: 0.0 → 0.0
Time: 19.6s
Precision: 64
\[\sin x \cdot \frac{\sinh y}{y}\]
↓
\[\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x\]
\sin x \cdot \frac{\sinh y}{y}
↓
\left(\sqrt{\frac{\sinh y}{y}} \cdot \sqrt{\frac{\sinh y}{y}}\right) \cdot \sin x
double f(double x, double y) {
        double r8306229 = x;
        double r8306230 = sin(r8306229);
        double r8306231 = y;
        double r8306232 = sinh(r8306231);
        double r8306233 = r8306232 / r8306231;
        double r8306234 = r8306230 * r8306233;
        return r8306234;
}
↓
double f(double x, double y) {
        double r8306235 = y;
        double r8306236 = sinh(r8306235);
        double r8306237 = r8306236 / r8306235;
        double r8306238 = sqrt(r8306237);
        double r8306239 = r8306238 * r8306238;
        double r8306240 = x;
        double r8306241 = sin(r8306240);
        double r8306242 = r8306239 * r8306241;
        return r8306242;
}

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 add-sqr-sqrt0.0

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

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019162 
(FPCore (x y)
  :name "Linear.Quaternion:$ccos from linear-1.19.1.3"
  (* (sin x) (/ (sinh y) y)))