Average Error: 0.1 → 0.1
Time: 10.5s
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 r146426 = x;
        double r146427 = y;
        double r146428 = sin(r146427);
        double r146429 = r146428 / r146427;
        double r146430 = r146426 * r146429;
        return r146430;
}
↓
double f(double x, double y) {
        double r146431 = x;
        double r146432 = y;
        double r146433 = sin(r146432);
        double r146434 = r146433 / r146432;
        double r146435 = r146431 * r146434;
        return r146435;
}

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 2020046 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))