Average Error: 0.1 → 0.1
Time: 9.6s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[\frac{\sin y}{y} \cdot x\]
x \cdot \frac{\sin y}{y}
↓
\frac{\sin y}{y} \cdot x
double f(double x, double y) {
        double r159848 = x;
        double r159849 = y;
        double r159850 = sin(r159849);
        double r159851 = r159850 / r159849;
        double r159852 = r159848 * r159851;
        return r159852;
}
↓
double f(double x, double y) {
        double r159853 = y;
        double r159854 = sin(r159853);
        double r159855 = r159854 / r159853;
        double r159856 = x;
        double r159857 = r159855 * r159856;
        return r159857;
}

Error

Bits error versus x

Bits error versus y

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

    \[x \cdot \frac{\sin y}{y}\]
  2. Using strategy rm

  3. Applied *-commutative0.1

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

  4. Final simplification0.1

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

Reproduce

herbie shell --seed 2020042 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))