Average Error: 0.0 → 0.0
Time: 5.4s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r176662 = x;
        double r176663 = cos(r176662);
        double r176664 = y;
        double r176665 = sinh(r176664);
        double r176666 = r176665 / r176664;
        double r176667 = r176663 * r176666;
        return r176667;
}
↓
double f(double x, double y) {
        double r176668 = x;
        double r176669 = cos(r176668);
        double r176670 = 1.0;
        double r176671 = y;
        double r176672 = sinh(r176671);
        double r176673 = r176671 / r176672;
        double r176674 = r176670 / r176673;
        double r176675 = r176669 * r176674;
        return r176675;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2020027 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))