Average Error: 0.0 → 0.0
Time: 13.3s
Precision: 64
\[200 \cdot \left(x - y\right)\]
↓
\[200 \cdot x + 200 \cdot \left(-y\right)\]
200 \cdot \left(x - y\right)
↓
200 \cdot x + 200 \cdot \left(-y\right)
double f(double x, double y) {
        double r182042 = 200.0;
        double r182043 = x;
        double r182044 = y;
        double r182045 = r182043 - r182044;
        double r182046 = r182042 * r182045;
        return r182046;
}
↓
double f(double x, double y) {
        double r182047 = 200.0;
        double r182048 = x;
        double r182049 = r182047 * r182048;
        double r182050 = y;
        double r182051 = -r182050;
        double r182052 = r182047 * r182051;
        double r182053 = r182049 + r182052;
        return r182053;
}

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

    \[200 \cdot \left(x - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto 200 \cdot \color{blue}{\left(x + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{200 \cdot x + 200 \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto 200 \cdot x + 200 \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2019323 
(FPCore (x y)
  :name "Data.Colour.CIE:cieLABView from colour-2.3.3, C"
  :precision binary64
  (* 200 (- x y)))