Average Error: 0.1 → 0.1
Time: 10.4s
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 r1747716 = 1.0;
        double r1747717 = x;
        double r1747718 = r1747716 - r1747717;
        double r1747719 = y;
        double r1747720 = sqrt(r1747717);
        double r1747721 = r1747719 * r1747720;
        double r1747722 = r1747718 + r1747721;
        return r1747722;
}
↓
double f(double x, double y) {
        double r1747723 = y;
        double r1747724 = x;
        double r1747725 = sqrt(r1747724);
        double r1747726 = r1747723 * r1747725;
        double r1747727 = 1.0;
        double r1747728 = r1747727 - r1747724;
        double r1747729 = r1747726 + r1747728;
        return r1747729;
}

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 2019156 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))