Average Error: 0.1 → 0.1
Time: 26.7s
Precision: 64
\[\cosh x \cdot \frac{\sin y}{y}\]
↓
\[\cosh x \cdot \frac{\sin y}{y}\]
\cosh x \cdot \frac{\sin y}{y}
↓
\cosh x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r26781989 = x;
        double r26781990 = cosh(r26781989);
        double r26781991 = y;
        double r26781992 = sin(r26781991);
        double r26781993 = r26781992 / r26781991;
        double r26781994 = r26781990 * r26781993;
        return r26781994;
}
↓
double f(double x, double y) {
        double r26781995 = x;
        double r26781996 = cosh(r26781995);
        double r26781997 = y;
        double r26781998 = sin(r26781997);
        double r26781999 = r26781998 / r26781997;
        double r26782000 = r26781996 * r26781999;
        return r26782000;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.1
Target0.1
Herbie0.1
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.1

    \[\cosh x \cdot \frac{\sin y}{y}\]

  2. Final simplification0.1

    \[\leadsto \cosh x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2019172 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"

  :herbie-target
  (/ (* (cosh x) (sin y)) y)

  (* (cosh x) (/ (sin y) y)))