Average Error: 0.1 → 0.1
Time: 16.3s
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 r4893591 = 1.0;
        double r4893592 = x;
        double r4893593 = r4893591 - r4893592;
        double r4893594 = y;
        double r4893595 = sqrt(r4893592);
        double r4893596 = r4893594 * r4893595;
        double r4893597 = r4893593 + r4893596;
        return r4893597;
}
↓
double f(double x, double y) {
        double r4893598 = y;
        double r4893599 = x;
        double r4893600 = sqrt(r4893599);
        double r4893601 = r4893598 * r4893600;
        double r4893602 = 1.0;
        double r4893603 = r4893602 - r4893599;
        double r4893604 = r4893601 + r4893603;
        return r4893604;
}

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 2019162 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))