Average Error: 0.1 → 0.2
Time: 12.3s
Precision: 64
\[x \cdot \frac{\sin y}{y}\]
↓
\[\frac{x}{\frac{y}{\sin y}}\]
x \cdot \frac{\sin y}{y}
↓
\frac{x}{\frac{y}{\sin y}}
double f(double x, double y) {
        double r4895559 = x;
        double r4895560 = y;
        double r4895561 = sin(r4895560);
        double r4895562 = r4895561 / r4895560;
        double r4895563 = r4895559 * r4895562;
        return r4895563;
}
↓
double f(double x, double y) {
        double r4895564 = x;
        double r4895565 = y;
        double r4895566 = sin(r4895565);
        double r4895567 = r4895565 / r4895566;
        double r4895568 = r4895564 / r4895567;
        return r4895568;
}

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 clear-num0.2

    \[\leadsto x \cdot \color{blue}{\frac{1}{\frac{y}{\sin y}}}\]
  4. Using strategy rm

  5. Applied un-div-inv0.2

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

  6. Final simplification0.2

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

Reproduce

herbie shell --seed 2019163 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  (* x (/ (sin y) y)))