Average Error: 0.2 → 0.2
Time: 41.9s
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 r23802343 = x;
        double r23802344 = cosh(r23802343);
        double r23802345 = y;
        double r23802346 = sin(r23802345);
        double r23802347 = r23802346 / r23802345;
        double r23802348 = r23802344 * r23802347;
        return r23802348;
}

double f(double x, double y) {
        double r23802349 = x;
        double r23802350 = cosh(r23802349);
        double r23802351 = y;
        double r23802352 = sin(r23802351);
        double r23802353 = r23802352 / r23802351;
        double r23802354 = r23802350 * r23802353;
        return r23802354;
}

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)))