Average Error: 0.1 → 0.1
Time: 17.2s
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 r516963 = x;
        double r516964 = cosh(r516963);
        double r516965 = y;
        double r516966 = sin(r516965);
        double r516967 = r516966 / r516965;
        double r516968 = r516964 * r516967;
        return r516968;
}

double f(double x, double y) {
        double r516969 = x;
        double r516970 = cosh(r516969);
        double r516971 = y;
        double r516972 = sin(r516971);
        double r516973 = r516972 / r516971;
        double r516974 = r516970 * r516973;
        return r516974;
}

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 2020046 
(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)))