Average Error: 0.0 → 0.0
Time: 13.9s
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 r12495631 = 500.0;
        double r12495632 = x;
        double r12495633 = y;
        double r12495634 = r12495632 - r12495633;
        double r12495635 = r12495631 * r12495634;
        return r12495635;
}
↓
double f(double x, double y) {
        double r12495636 = y;
        double r12495637 = -r12495636;
        double r12495638 = 500.0;
        double r12495639 = r12495637 * r12495638;
        double r12495640 = x;
        double r12495641 = r12495638 * r12495640;
        double r12495642 = r12495639 + r12495641;
        return r12495642;
}

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 2019172 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))