Average Error: 0.2 → 0.2
Time: 12.5s
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 r8312087 = x;
        double r8312088 = cosh(r8312087);
        double r8312089 = y;
        double r8312090 = sin(r8312089);
        double r8312091 = r8312090 / r8312089;
        double r8312092 = r8312088 * r8312091;
        return r8312092;
}
↓
double f(double x, double y) {
        double r8312093 = x;
        double r8312094 = cosh(r8312093);
        double r8312095 = y;
        double r8312096 = sin(r8312095);
        double r8312097 = r8312096 / r8312095;
        double r8312098 = r8312094 * r8312097;
        return r8312098;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

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 2019156 +o rules:numerics
(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)))