Average Error: 0.0 → 0.0
Time: 4.8s
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 r119411 = x;
        double r119412 = cos(r119411);
        double r119413 = y;
        double r119414 = sinh(r119413);
        double r119415 = r119414 / r119413;
        double r119416 = r119412 * r119415;
        return r119416;
}
↓
double f(double x, double y) {
        double r119417 = x;
        double r119418 = cos(r119417);
        double r119419 = 1.0;
        double r119420 = y;
        double r119421 = sinh(r119420);
        double r119422 = r119420 / r119421;
        double r119423 = r119419 / r119422;
        double r119424 = r119418 * r119423;
        return r119424;
}

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)))