Average Error: 0.0 → 0.0
Time: 29.1s
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 r119124 = x;
        double r119125 = cos(r119124);
        double r119126 = y;
        double r119127 = sinh(r119126);
        double r119128 = r119127 / r119126;
        double r119129 = r119125 * r119128;
        return r119129;
}
↓
double f(double x, double y) {
        double r119130 = x;
        double r119131 = cos(r119130);
        double r119132 = y;
        double r119133 = sinh(r119132);
        double r119134 = r119132 / r119133;
        double r119135 = r119131 / r119134;
        return r119135;
}

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. Using strategy rm

  5. Applied un-div-inv0.0

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

  6. Final simplification0.0

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

Reproduce

herbie shell --seed 2019323 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))