Average Error: 0.0 → 0.0
Time: 25.7s
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 r110225 = x;
        double r110226 = cos(r110225);
        double r110227 = y;
        double r110228 = sinh(r110227);
        double r110229 = r110228 / r110227;
        double r110230 = r110226 * r110229;
        return r110230;
}
↓
double f(double x, double y) {
        double r110231 = x;
        double r110232 = cos(r110231);
        double r110233 = 1.0;
        double r110234 = y;
        double r110235 = sinh(r110234);
        double r110236 = r110234 / r110235;
        double r110237 = r110233 / r110236;
        double r110238 = r110232 * r110237;
        return r110238;
}

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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))