Average Error: 0.0 → 0.0
Time: 10.7s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{1}{\sqrt{\frac{y}{\sinh y}} \cdot \sqrt{\frac{y}{\sinh y}}} \cdot \cos x\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{1}{\sqrt{\frac{y}{\sinh y}} \cdot \sqrt{\frac{y}{\sinh y}}} \cdot \cos x
double f(double x, double y) {
        double r3504649 = x;
        double r3504650 = cos(r3504649);
        double r3504651 = y;
        double r3504652 = sinh(r3504651);
        double r3504653 = r3504652 / r3504651;
        double r3504654 = r3504650 * r3504653;
        return r3504654;
}
↓
double f(double x, double y) {
        double r3504655 = 1.0;
        double r3504656 = y;
        double r3504657 = sinh(r3504656);
        double r3504658 = r3504656 / r3504657;
        double r3504659 = sqrt(r3504658);
        double r3504660 = r3504659 * r3504659;
        double r3504661 = r3504655 / r3504660;
        double r3504662 = x;
        double r3504663 = cos(r3504662);
        double r3504664 = r3504661 * r3504663;
        return r3504664;
}

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 clear-num0.0

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

  5. Applied add-sqr-sqrt0.0

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

  6. Final simplification0.0

    \[\leadsto \frac{1}{\sqrt{\frac{y}{\sinh y}} \cdot \sqrt{\frac{y}{\sinh y}}} \cdot \cos x\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))