Average Error: 0.1 → 0.1
Time: 14.0s
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 r78521 = 1.0;
        double r78522 = x;
        double r78523 = r78521 - r78522;
        double r78524 = y;
        double r78525 = sqrt(r78522);
        double r78526 = r78524 * r78525;
        double r78527 = r78523 + r78526;
        return r78527;
}
↓
double f(double x, double y) {
        double r78528 = y;
        double r78529 = x;
        double r78530 = sqrt(r78529);
        double r78531 = r78528 * r78530;
        double r78532 = 1.0;
        double r78533 = r78532 - r78529;
        double r78534 = r78531 + r78533;
        return r78534;
}

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 2019194 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))