Average Error: 0.0 → 0.0
Time: 13.0s
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 r102176 = x;
        double r102177 = cos(r102176);
        double r102178 = y;
        double r102179 = sinh(r102178);
        double r102180 = r102179 / r102178;
        double r102181 = r102177 * r102180;
        return r102181;
}
↓
double f(double x, double y) {
        double r102182 = x;
        double r102183 = cos(r102182);
        double r102184 = 1.0;
        double r102185 = y;
        double r102186 = sinh(r102185);
        double r102187 = r102185 / r102186;
        double r102188 = r102184 / r102187;
        double r102189 = r102183 * r102188;
        return r102189;
}

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 2019305 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$csin from linear-1.19.1.3"
  :precision binary64
  (* (cos x) (/ (sinh y) y)))