Average Error: 0.0 → 0.0
Time: 26.0s
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 r128397 = x;
        double r128398 = cos(r128397);
        double r128399 = y;
        double r128400 = sinh(r128399);
        double r128401 = r128400 / r128399;
        double r128402 = r128398 * r128401;
        return r128402;
}
↓
double f(double x, double y) {
        double r128403 = x;
        double r128404 = cos(r128403);
        double r128405 = y;
        double r128406 = sinh(r128405);
        double r128407 = r128405 / r128406;
        double r128408 = r128404 / r128407;
        return r128408;
}

Error

Bits error versus x

Bits error versus y

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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 *-un-lft-identity0.0

    \[\leadsto \color{blue}{\left(1 \cdot \cos x\right)} \cdot \frac{\sinh y}{y}\]

  4. Applied associate-*l*0.0

    \[\leadsto \color{blue}{1 \cdot \left(\cos x \cdot \frac{\sinh y}{y}\right)}\]

  5. Simplified0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2020042 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))