Average Error: 0.0 → 0.0
Time: 5.2s
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 r115309 = x;
        double r115310 = cos(r115309);
        double r115311 = y;
        double r115312 = sinh(r115311);
        double r115313 = r115312 / r115311;
        double r115314 = r115310 * r115313;
        return r115314;
}

double f(double x, double y) {
        double r115315 = x;
        double r115316 = cos(r115315);
        double r115317 = 1.0;
        double r115318 = y;
        double r115319 = sinh(r115318);
        double r115320 = r115318 / r115319;
        double r115321 = r115317 / r115320;
        double r115322 = r115316 * r115321;
        return r115322;
}

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 2020001 
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))