Average Error: 0.1 → 0.1
Time: 4.7s
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 r85305 = x;
        double r85306 = y;
        double r85307 = sin(r85306);
        double r85308 = r85307 / r85306;
        double r85309 = r85305 * r85308;
        return r85309;
}
↓
double f(double x, double y) {
        double r85310 = x;
        double r85311 = y;
        double r85312 = sin(r85311);
        double r85313 = r85312 / r85311;
        double r85314 = r85310 * r85313;
        return r85314;
}

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 2019304 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))