Average Error: 0.1 → 0.1
Time: 19.6s
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 r110503 = x;
        double r110504 = y;
        double r110505 = sin(r110504);
        double r110506 = r110505 / r110504;
        double r110507 = r110503 * r110506;
        return r110507;
}
↓
double f(double x, double y) {
        double r110508 = y;
        double r110509 = sin(r110508);
        double r110510 = r110509 / r110508;
        double r110511 = x;
        double r110512 = r110510 * r110511;
        return r110512;
}

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. 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 2019323 
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  :precision binary64
  (* x (/ (sin y) y)))