Average Error: 0.1 → 0.1
Time: 17.8s
Precision: 64
\[\left(1.0 - x\right) + y \cdot \sqrt{x}\]
↓
\[y \cdot \sqrt{x} + \left(1.0 - x\right)\]
\left(1.0 - x\right) + y \cdot \sqrt{x}
↓
y \cdot \sqrt{x} + \left(1.0 - x\right)
double f(double x, double y) {
        double r4767651 = 1.0;
        double r4767652 = x;
        double r4767653 = r4767651 - r4767652;
        double r4767654 = y;
        double r4767655 = sqrt(r4767652);
        double r4767656 = r4767654 * r4767655;
        double r4767657 = r4767653 + r4767656;
        return r4767657;
}
↓
double f(double x, double y) {
        double r4767658 = y;
        double r4767659 = x;
        double r4767660 = sqrt(r4767659);
        double r4767661 = r4767658 * r4767660;
        double r4767662 = 1.0;
        double r4767663 = r4767662 - r4767659;
        double r4767664 = r4767661 + r4767663;
        return r4767664;
}

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

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

  2. Final simplification0.1

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

Reproduce

herbie shell --seed 2019163 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))