Average Error: 0.1 → 0.1
Time: 19.0s
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 r333113 = x;
        double r333114 = cosh(r333113);
        double r333115 = y;
        double r333116 = sin(r333115);
        double r333117 = r333116 / r333115;
        double r333118 = r333114 * r333117;
        return r333118;
}
↓
double f(double x, double y) {
        double r333119 = x;
        double r333120 = cosh(r333119);
        double r333121 = y;
        double r333122 = sin(r333121);
        double r333123 = r333122 / r333121;
        double r333124 = r333120 * r333123;
        return r333124;
}

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 2019194 
(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)))