Average Error: 0.0 → 0.0
Time: 4.6s
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 r146026 = x;
        double r146027 = cos(r146026);
        double r146028 = y;
        double r146029 = sinh(r146028);
        double r146030 = r146029 / r146028;
        double r146031 = r146027 * r146030;
        return r146031;
}
↓
double f(double x, double y) {
        double r146032 = x;
        double r146033 = cos(r146032);
        double r146034 = y;
        double r146035 = sinh(r146034);
        double r146036 = r146034 / r146035;
        double r146037 = r146033 / r146036;
        return r146037;
}

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