Average Error: 0.0 → 0.0
Time: 4.8s
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 r116084 = x;
        double r116085 = cos(r116084);
        double r116086 = y;
        double r116087 = sinh(r116086);
        double r116088 = r116087 / r116086;
        double r116089 = r116085 * r116088;
        return r116089;
}
↓
double f(double x, double y) {
        double r116090 = x;
        double r116091 = cos(r116090);
        double r116092 = 1.0;
        double r116093 = y;
        double r116094 = sinh(r116093);
        double r116095 = r116093 / r116094;
        double r116096 = r116092 / r116095;
        double r116097 = r116091 * r116096;
        return r116097;
}

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 2020001 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))