Average Error: 0.0 → 0.0
Time: 4.7s
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 r103571 = x;
        double r103572 = cos(r103571);
        double r103573 = y;
        double r103574 = sinh(r103573);
        double r103575 = r103574 / r103573;
        double r103576 = r103572 * r103575;
        return r103576;
}
↓
double f(double x, double y) {
        double r103577 = x;
        double r103578 = cos(r103577);
        double r103579 = 1.0;
        double r103580 = y;
        double r103581 = sinh(r103580);
        double r103582 = r103580 / r103581;
        double r103583 = r103579 / r103582;
        double r103584 = r103578 * r103583;
        return r103584;
}

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)))