Average Error: 0.0 → 0.0
Time: 10.5s
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 r153409 = x;
        double r153410 = cos(r153409);
        double r153411 = y;
        double r153412 = sinh(r153411);
        double r153413 = r153412 / r153411;
        double r153414 = r153410 * r153413;
        return r153414;
}
↓
double f(double x, double y) {
        double r153415 = x;
        double r153416 = cos(r153415);
        double r153417 = 1.0;
        double r153418 = y;
        double r153419 = sinh(r153418);
        double r153420 = r153418 / r153419;
        double r153421 = r153417 / r153420;
        double r153422 = r153416 * r153421;
        return r153422;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))