Average Error: 0.1 → 0.1
Time: 12.2s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[1 - \left(x - y \cdot \sqrt{x}\right)\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
1 - \left(x - y \cdot \sqrt{x}\right)
double f(double x, double y) {
        double r4558032 = 1.0;
        double r4558033 = x;
        double r4558034 = r4558032 - r4558033;
        double r4558035 = y;
        double r4558036 = sqrt(r4558033);
        double r4558037 = r4558035 * r4558036;
        double r4558038 = r4558034 + r4558037;
        return r4558038;
}
↓
double f(double x, double y) {
        double r4558039 = 1.0;
        double r4558040 = x;
        double r4558041 = y;
        double r4558042 = sqrt(r4558040);
        double r4558043 = r4558041 * r4558042;
        double r4558044 = r4558040 - r4558043;
        double r4558045 = r4558039 - r4558044;
        return r4558045;
}

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. Using strategy rm

  3. Applied associate-+l-0.1

    \[\leadsto \color{blue}{1 - \left(x - y \cdot \sqrt{x}\right)}\]

  4. Final simplification0.1

    \[\leadsto 1 - \left(x - y \cdot \sqrt{x}\right)\]

Reproduce

herbie shell --seed 2019192 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))