Average Error: 0.1 → 0.1
Time: 13.5s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[y \cdot \sqrt{x} + \left(1 - x\right)\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
y \cdot \sqrt{x} + \left(1 - x\right)
double f(double x, double y) {
        double r81602 = 1.0;
        double r81603 = x;
        double r81604 = r81602 - r81603;
        double r81605 = y;
        double r81606 = sqrt(r81603);
        double r81607 = r81605 * r81606;
        double r81608 = r81604 + r81607;
        return r81608;
}
↓
double f(double x, double y) {
        double r81609 = y;
        double r81610 = x;
        double r81611 = sqrt(r81610);
        double r81612 = r81609 * r81611;
        double r81613 = 1.0;
        double r81614 = r81613 - r81610;
        double r81615 = r81612 + r81614;
        return r81615;
}

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 0.1

    \[\left(1 - x\right) + y \cdot \sqrt{x}\]

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019174 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))