Average Error: 0.1 → 0.1
Time: 17.3s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[x \cdot \frac{\sin y}{y}\]
x \cdot \frac{\sin y}{y}
↓
x \cdot \frac{\sin y}{y}
double f(double x, double y) {
        double r95147 = x;
        double r95148 = y;
        double r95149 = sin(r95148);
        double r95150 = r95149 / r95148;
        double r95151 = r95147 * r95150;
        return r95151;
}
↓
double f(double x, double y) {
        double r95152 = x;
        double r95153 = y;
        double r95154 = sin(r95153);
        double r95155 = r95154 / r95153;
        double r95156 = r95152 * r95155;
        return r95156;
}

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 0.1

    \[x \cdot \frac{\sin y}{y}\]

  2. Final simplification0.1

    \[\leadsto x \cdot \frac{\sin y}{y}\]

Reproduce

herbie shell --seed 2019325 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))