Average Error: 0.0 → 0.0
Time: 18.9s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{1}{\frac{y}{\sinh y}} \cdot \cos x\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{1}{\frac{y}{\sinh y}} \cdot \cos x
double f(double x, double y) {
        double r5956602 = x;
        double r5956603 = cos(r5956602);
        double r5956604 = y;
        double r5956605 = sinh(r5956604);
        double r5956606 = r5956605 / r5956604;
        double r5956607 = r5956603 * r5956606;
        return r5956607;
}
↓
double f(double x, double y) {
        double r5956608 = 1.0;
        double r5956609 = y;
        double r5956610 = sinh(r5956609);
        double r5956611 = r5956609 / r5956610;
        double r5956612 = r5956608 / r5956611;
        double r5956613 = x;
        double r5956614 = cos(r5956613);
        double r5956615 = r5956612 * r5956614;
        return r5956615;
}

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

    \[\leadsto \frac{1}{\frac{y}{\sinh y}} \cdot \cos x\]

Reproduce

herbie shell --seed 2019158 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  (* (cos x) (/ (sinh y) y)))