Average Error: 0.0 → 0.0
Time: 25.4s
Precision: 64
\[\cos x \cdot \frac{\sinh y}{y}\]
↓
\[\cos x \cdot \frac{1}{\frac{y}{\sinh y}}\]
\cos x \cdot \frac{\sinh y}{y}
↓
\cos x \cdot \frac{1}{\frac{y}{\sinh y}}
double f(double x, double y) {
        double r151547 = x;
        double r151548 = cos(r151547);
        double r151549 = y;
        double r151550 = sinh(r151549);
        double r151551 = r151550 / r151549;
        double r151552 = r151548 * r151551;
        return r151552;
}
↓
double f(double x, double y) {
        double r151553 = x;
        double r151554 = cos(r151553);
        double r151555 = 1.0;
        double r151556 = y;
        double r151557 = sinh(r151556);
        double r151558 = r151556 / r151557;
        double r151559 = r151555 / r151558;
        double r151560 = r151554 * r151559;
        return r151560;
}

Error

Bits error versus x

Bits error versus y

Try it out

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 simplification0.0

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

Reproduce

herbie shell --seed 2019306 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))