Average Error: 0.1 → 0.1
Time: 5.7s
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 r538130 = x;
        double r538131 = cosh(r538130);
        double r538132 = y;
        double r538133 = sin(r538132);
        double r538134 = r538133 / r538132;
        double r538135 = r538131 * r538134;
        return r538135;
}
↓
double f(double x, double y) {
        double r538136 = x;
        double r538137 = cosh(r538136);
        double r538138 = y;
        double r538139 = sin(r538138);
        double r538140 = r538139 / r538138;
        double r538141 = r538137 * r538140;
        return r538141;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

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 2020001 +o rules:numerics
(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)))