Average Error: 0.0 → 0.0
Time: 25.7s
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 r97681 = x;
        double r97682 = cos(r97681);
        double r97683 = y;
        double r97684 = sinh(r97683);
        double r97685 = r97684 / r97683;
        double r97686 = r97682 * r97685;
        return r97686;
}
↓
double f(double x, double y) {
        double r97687 = x;
        double r97688 = cos(r97687);
        double r97689 = y;
        double r97690 = sinh(r97689);
        double r97691 = r97689 / r97690;
        double r97692 = r97688 / r97691;
        return r97692;
}

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. Using strategy rm

  3. Applied pow10.0

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

  4. Applied pow10.0

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

  5. Applied pow-prod-down0.0

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

  6. Simplified0.0

    \[\leadsto {\color{blue}{\left(\frac{\cos x}{\frac{y}{\sinh y}}\right)}}^{1}\]

  7. 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)))