Average Error: 0.2 → 0.2
Time: 21.7s
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 r22592527 = x;
        double r22592528 = cosh(r22592527);
        double r22592529 = y;
        double r22592530 = sin(r22592529);
        double r22592531 = r22592530 / r22592529;
        double r22592532 = r22592528 * r22592531;
        return r22592532;
}

double f(double x, double y) {
        double r22592533 = x;
        double r22592534 = cosh(r22592533);
        double r22592535 = y;
        double r22592536 = sin(r22592535);
        double r22592537 = r22592536 / r22592535;
        double r22592538 = r22592534 * r22592537;
        return r22592538;
}

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 2019168 
(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)))