Average Error: 0.2 → 0.2
Time: 14.6s
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 r544023 = x;
        double r544024 = cosh(r544023);
        double r544025 = y;
        double r544026 = sin(r544025);
        double r544027 = r544026 / r544025;
        double r544028 = r544024 * r544027;
        return r544028;
}

double f(double x, double y) {
        double r544029 = x;
        double r544030 = cosh(r544029);
        double r544031 = y;
        double r544032 = sin(r544031);
        double r544033 = r544032 / r544031;
        double r544034 = r544030 * r544033;
        return r544034;
}

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 2019303 
(FPCore (x y)
  :name "Linear.Quaternion:$csinh from linear-1.19.1.3"
  :precision binary64

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

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