Average Error: 0.0 → 0.0
Time: 27.7s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r96340 = x;
        double r96341 = cos(r96340);
        double r96342 = y;
        double r96343 = sinh(r96342);
        double r96344 = r96343 / r96342;
        double r96345 = r96341 * r96344;
        return r96345;
}
↓
double f(double x, double y) {
        double r96346 = x;
        double r96347 = cos(r96346);
        double r96348 = y;
        double r96349 = sinh(r96348);
        double r96350 = r96348 / r96349;
        double r96351 = r96347 / r96350;
        return r96351;
}

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 associate-*r/0.1

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

  5. Applied associate-/l*0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019347 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))