Average Error: 0.0 → 0.0
Time: 7.4s
Precision: 64
\[500 \cdot \left(x - y\right)\]
↓
\[\left(-y\right) \cdot 500 + 500 \cdot x\]
500 \cdot \left(x - y\right)
↓
\left(-y\right) \cdot 500 + 500 \cdot x
double f(double x, double y) {
        double r14542469 = 500.0;
        double r14542470 = x;
        double r14542471 = y;
        double r14542472 = r14542470 - r14542471;
        double r14542473 = r14542469 * r14542472;
        return r14542473;
}
↓
double f(double x, double y) {
        double r14542474 = y;
        double r14542475 = -r14542474;
        double r14542476 = 500.0;
        double r14542477 = r14542475 * r14542476;
        double r14542478 = x;
        double r14542479 = r14542476 * r14542478;
        double r14542480 = r14542477 + r14542479;
        return r14542480;
}

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 0.0

    \[500 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 500 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{500 \cdot x + 500 \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto \left(-y\right) \cdot 500 + 500 \cdot x\]

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))