Average Error: 0.2 → 0.2
Time: 18.9s
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 r21024029 = x;
        double r21024030 = cosh(r21024029);
        double r21024031 = y;
        double r21024032 = sin(r21024031);
        double r21024033 = r21024032 / r21024031;
        double r21024034 = r21024030 * r21024033;
        return r21024034;
}
↓
double f(double x, double y) {
        double r21024035 = x;
        double r21024036 = cosh(r21024035);
        double r21024037 = y;
        double r21024038 = sin(r21024037);
        double r21024039 = r21024038 / r21024037;
        double r21024040 = r21024036 * r21024039;
        return r21024040;
}

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 2019168 +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)))