Average Error: 0.2 → 0.2
Time: 30.5s
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 r404980 = x;
        double r404981 = cosh(r404980);
        double r404982 = y;
        double r404983 = sin(r404982);
        double r404984 = r404983 / r404982;
        double r404985 = r404981 * r404984;
        return r404985;
}
↓
double f(double x, double y) {
        double r404986 = x;
        double r404987 = cosh(r404986);
        double r404988 = y;
        double r404989 = sin(r404988);
        double r404990 = r404989 / r404988;
        double r404991 = r404987 * r404990;
        return r404991;
}

Error

Bits error versus x

Bits error versus y

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Results

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Target

Original0.2
Target0.2
Herbie0.2
\[\frac{\cosh x \cdot \sin y}{y}\]

Derivation

  1. Initial program 0.2

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

  2. Final simplification0.2

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

Reproduce

herbie shell --seed 2019195 
(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)))