Average Error: 0.1 → 0.1
Time: 5.6s
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 r513580 = x;
        double r513581 = cosh(r513580);
        double r513582 = y;
        double r513583 = sin(r513582);
        double r513584 = r513583 / r513582;
        double r513585 = r513581 * r513584;
        return r513585;
}

double f(double x, double y) {
        double r513586 = x;
        double r513587 = cosh(r513586);
        double r513588 = y;
        double r513589 = sin(r513588);
        double r513590 = r513589 / r513588;
        double r513591 = r513587 * r513590;
        return r513591;
}

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 2020021 
(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)))