Average Error: 0.0 → 0.2
Time: 11.6s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\frac{\cos x}{y} \cdot \sinh y\]
\cos x \cdot \frac{\sinh y}{y}
↓
\frac{\cos x}{y} \cdot \sinh y
double f(double x, double y) {
        double r126515 = x;
        double r126516 = cos(r126515);
        double r126517 = y;
        double r126518 = sinh(r126517);
        double r126519 = r126518 / r126517;
        double r126520 = r126516 * r126519;
        return r126520;
}
↓
double f(double x, double y) {
        double r126521 = x;
        double r126522 = cos(r126521);
        double r126523 = y;
        double r126524 = r126522 / r126523;
        double r126525 = sinh(r126523);
        double r126526 = r126524 * r126525;
        return r126526;
}

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. Final simplification0.2

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

Reproduce

herbie shell --seed 2019298 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))