Average Error: 0.0 → 0.1
Time: 4.2s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x \cdot \sinh y}{y}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x \cdot \sinh y}{y}
double f(double x, double y) {
        double r107680 = x;
        double r107681 = cos(r107680);
        double r107682 = y;
        double r107683 = sinh(r107682);
        double r107684 = r107683 / r107682;
        double r107685 = r107681 * r107684;
        return r107685;
}
↓
double f(double x, double y) {
        double r107686 = x;
        double r107687 = cos(r107686);
        double r107688 = y;
        double r107689 = sinh(r107688);
        double r107690 = r107687 * r107689;
        double r107691 = r107690 / r107688;
        return r107691;
}

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 associate-*r/0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020060 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))