Average Error: 0.0 → 0.0
Time: 26.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r139371 = x;
        double r139372 = cos(r139371);
        double r139373 = y;
        double r139374 = sinh(r139373);
        double r139375 = r139374 / r139373;
        double r139376 = r139372 * r139375;
        return r139376;
}
↓
double f(double x, double y) {
        double r139377 = x;
        double r139378 = cos(r139377);
        double r139379 = y;
        double r139380 = sinh(r139379);
        double r139381 = r139379 / r139380;
        double r139382 = r139378 / r139381;
        return r139382;
}

Error

Bits error versus x

Bits error versus y

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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. Taylor expanded around inf 59.5

    \[\leadsto \color{blue}{\frac{\frac{1}{2} \cdot \left(e^{y} \cdot \cos x\right) - \frac{1}{2} \cdot \left(e^{-y} \cdot \cos x\right)}{y}}\]

  3. Simplified0.0

    \[\leadsto \color{blue}{\frac{\cos x}{\frac{y}{\sinh y}}}\]

  4. Final simplification0.0

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

Reproduce

herbie shell --seed 2019303 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))