Average Error: 0.2 → 0.2
Time: 23.7s
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 r21894065 = x;
        double r21894066 = cosh(r21894065);
        double r21894067 = y;
        double r21894068 = sin(r21894067);
        double r21894069 = r21894068 / r21894067;
        double r21894070 = r21894066 * r21894069;
        return r21894070;
}
↓
double f(double x, double y) {
        double r21894071 = x;
        double r21894072 = cosh(r21894071);
        double r21894073 = y;
        double r21894074 = sin(r21894073);
        double r21894075 = r21894074 / r21894073;
        double r21894076 = r21894072 * r21894075;
        return r21894076;
}

Error

Bits error versus x

Bits error versus y

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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 2019169 +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)))