Average Error: 0.0 → 0.0
Time: 14.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\sqrt{\frac{\sinh y}{y}} \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \cos x\right)\]
\cos x \cdot \frac{\sinh y}{y}
↓
\sqrt{\frac{\sinh y}{y}} \cdot \left(\sqrt{\frac{\sinh y}{y}} \cdot \cos x\right)
double f(double x, double y) {
        double r7486051 = x;
        double r7486052 = cos(r7486051);
        double r7486053 = y;
        double r7486054 = sinh(r7486053);
        double r7486055 = r7486054 / r7486053;
        double r7486056 = r7486052 * r7486055;
        return r7486056;
}
↓
double f(double x, double y) {
        double r7486057 = y;
        double r7486058 = sinh(r7486057);
        double r7486059 = r7486058 / r7486057;
        double r7486060 = sqrt(r7486059);
        double r7486061 = x;
        double r7486062 = cos(r7486061);
        double r7486063 = r7486060 * r7486062;
        double r7486064 = r7486060 * r7486063;
        return r7486064;
}

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

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

  3. Applied add-sqr-sqrt0.0

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

  4. Applied associate-*r*0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))