Average Error: 0.0 → 0.0
Time: 27.5s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{\frac{1}{y}}{\frac{1}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{\frac{1}{y}}{\frac{1}{\sinh y}}
double f(double x, double y) {
        double r143991 = x;
        double r143992 = cos(r143991);
        double r143993 = y;
        double r143994 = sinh(r143993);
        double r143995 = r143994 / r143993;
        double r143996 = r143992 * r143995;
        return r143996;
}
↓
double f(double x, double y) {
        double r143997 = x;
        double r143998 = cos(r143997);
        double r143999 = 1.0;
        double r144000 = y;
        double r144001 = r143999 / r144000;
        double r144002 = sinh(r144000);
        double r144003 = r143999 / r144002;
        double r144004 = r144001 / r144003;
        double r144005 = r143998 * r144004;
        return r144005;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\cos x \cdot \frac{\sinh y}{y}\]
  2. Using strategy rm

  3. Applied clear-num0.0

    \[\leadsto \cos x \cdot \color{blue}{\frac{1}{\frac{y}{\sinh y}}}\]
  4. Using strategy rm

  5. Applied div-inv0.2

    \[\leadsto \cos x \cdot \frac{1}{\color{blue}{y \cdot \frac{1}{\sinh y}}}\]

  6. Applied associate-/r*0.0

    \[\leadsto \cos x \cdot \color{blue}{\frac{\frac{1}{y}}{\frac{1}{\sinh y}}}\]

  7. Final simplification0.0

    \[\leadsto \cos x \cdot \frac{\frac{1}{y}}{\frac{1}{\sinh y}}\]

Reproduce

herbie shell --seed 2020045 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))