Average Error: 0.0 → 0.0
Time: 5.0s
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 r127536 = x;
        double r127537 = cos(r127536);
        double r127538 = y;
        double r127539 = sinh(r127538);
        double r127540 = r127539 / r127538;
        double r127541 = r127537 * r127540;
        return r127541;
}
↓
double f(double x, double y) {
        double r127542 = x;
        double r127543 = cos(r127542);
        double r127544 = 1.0;
        double r127545 = y;
        double r127546 = sinh(r127545);
        double r127547 = r127545 / r127546;
        double r127548 = r127544 / r127547;
        double r127549 = r127543 * r127548;
        return r127549;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))