Average Error: 0.0 → 0.0
Time: 5.4s
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 r15421210 = 500.0;
        double r15421211 = x;
        double r15421212 = y;
        double r15421213 = r15421211 - r15421212;
        double r15421214 = r15421210 * r15421213;
        return r15421214;
}
↓
double f(double x, double y) {
        double r15421215 = y;
        double r15421216 = -r15421215;
        double r15421217 = 500.0;
        double r15421218 = r15421216 * r15421217;
        double r15421219 = x;
        double r15421220 = r15421217 * r15421219;
        double r15421221 = r15421218 + r15421220;
        return r15421221;
}

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 2019179 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, B"
  (* 500.0 (- x y)))