Average Error: 0.1 → 0.1
Time: 14.9s
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 r3869805 = 1.0;
        double r3869806 = x;
        double r3869807 = r3869805 - r3869806;
        double r3869808 = y;
        double r3869809 = sqrt(r3869806);
        double r3869810 = r3869808 * r3869809;
        double r3869811 = r3869807 + r3869810;
        return r3869811;
}
↓
double f(double x, double y) {
        double r3869812 = y;
        double r3869813 = x;
        double r3869814 = sqrt(r3869813);
        double r3869815 = r3869812 * r3869814;
        double r3869816 = 1.0;
        double r3869817 = r3869816 - r3869813;
        double r3869818 = r3869815 + r3869817;
        return r3869818;
}

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 2019165 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))