Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[\left(x + 1.0\right) \cdot y - x\]
↓
\[\left(1.0 + x\right) \cdot y - x\]
\left(x + 1.0\right) \cdot y - x
↓
\left(1.0 + x\right) \cdot y - x
double f(double x, double y) {
        double r3438830 = x;
        double r3438831 = 1.0;
        double r3438832 = r3438830 + r3438831;
        double r3438833 = y;
        double r3438834 = r3438832 * r3438833;
        double r3438835 = r3438834 - r3438830;
        return r3438835;
}
↓
double f(double x, double y) {
        double r3438836 = 1.0;
        double r3438837 = x;
        double r3438838 = r3438836 + r3438837;
        double r3438839 = y;
        double r3438840 = r3438838 * r3438839;
        double r3438841 = r3438840 - r3438837;
        return r3438841;
}

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

    \[\left(x + 1.0\right) \cdot y - x\]

  2. Final simplification0.0

    \[\leadsto \left(1.0 + x\right) \cdot y - x\]

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (x y)
  :name "Data.Colour.SRGB:transferFunction from colour-2.3.3"
  (- (* (+ x 1.0) y) x))