Average Error: 0.2 → 0.2
Time: 7.7s
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 r507513 = x;
        double r507514 = cosh(r507513);
        double r507515 = y;
        double r507516 = sin(r507515);
        double r507517 = r507516 / r507515;
        double r507518 = r507514 * r507517;
        return r507518;
}
↓
double f(double x, double y) {
        double r507519 = x;
        double r507520 = cosh(r507519);
        double r507521 = y;
        double r507522 = sin(r507521);
        double r507523 = r507522 / r507521;
        double r507524 = r507520 * r507523;
        return r507524;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.2
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 2020002 
(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)))