Average Error: 0.1 → 0.2
Time: 13.7s
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 r6210526 = x;
        double r6210527 = y;
        double r6210528 = sin(r6210527);
        double r6210529 = r6210528 / r6210527;
        double r6210530 = r6210526 * r6210529;
        return r6210530;
}
↓
double f(double x, double y) {
        double r6210531 = x;
        double r6210532 = y;
        double r6210533 = sin(r6210532);
        double r6210534 = r6210532 / r6210533;
        double r6210535 = r6210531 / r6210534;
        return r6210535;
}

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 2019179 +o rules:numerics
(FPCore (x y)
  :name "Linear.Quaternion:$cexp from linear-1.19.1.3"
  (* x (/ (sin y) y)))