Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[x \cdot \left(1 - y\right)\]
↓
\[x \cdot 1 + x \cdot \left(-y\right)\]
x \cdot \left(1 - y\right)
↓
x \cdot 1 + x \cdot \left(-y\right)
double f(double x, double y) {
        double r1120 = x;
        double r1121 = 1.0;
        double r1122 = y;
        double r1123 = r1121 - r1122;
        double r1124 = r1120 * r1123;
        return r1124;
}
↓
double f(double x, double y) {
        double r1125 = x;
        double r1126 = 1.0;
        double r1127 = r1125 * r1126;
        double r1128 = y;
        double r1129 = -r1128;
        double r1130 = r1125 * r1129;
        double r1131 = r1127 + r1130;
        return r1131;
}

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

    \[x \cdot \left(1 - y\right)\]
  2. Using strategy rm

  3. Applied sub-neg0.0

    \[\leadsto x \cdot \color{blue}{\left(1 + \left(-y\right)\right)}\]

  4. Applied distribute-lft-in0.0

    \[\leadsto \color{blue}{x \cdot 1 + x \cdot \left(-y\right)}\]

  5. Final simplification0.0

    \[\leadsto x \cdot 1 + x \cdot \left(-y\right)\]

Reproduce

herbie shell --seed 2020025 
(FPCore (x y)
  :name "Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, H"
  :precision binary64
  (* x (- 1 y)))