Average Error: 0.0 → 0.0
Time: 26.1s
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 r144082 = x;
        double r144083 = cos(r144082);
        double r144084 = y;
        double r144085 = sinh(r144084);
        double r144086 = r144085 / r144084;
        double r144087 = r144083 * r144086;
        return r144087;
}
↓
double f(double x, double y) {
        double r144088 = x;
        double r144089 = cos(r144088);
        double r144090 = y;
        double r144091 = sinh(r144090);
        double r144092 = r144090 / r144091;
        double r144093 = r144089 / r144092;
        return r144093;
}

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 *-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)))