Average Error: 0.1 → 0.1
Time: 9.5s
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 r546300 = x;
        double r546301 = cosh(r546300);
        double r546302 = y;
        double r546303 = sin(r546302);
        double r546304 = r546303 / r546302;
        double r546305 = r546301 * r546304;
        return r546305;
}
↓
double f(double x, double y) {
        double r546306 = x;
        double r546307 = cosh(r546306);
        double r546308 = y;
        double r546309 = sin(r546308);
        double r546310 = r546309 / r546308;
        double r546311 = r546307 * r546310;
        return r546311;
}

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 1978988140 
(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)))