Average Error: 0.1 → 0.1
Time: 18.7s
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 r4811257 = 1.0;
        double r4811258 = x;
        double r4811259 = r4811257 - r4811258;
        double r4811260 = y;
        double r4811261 = sqrt(r4811258);
        double r4811262 = r4811260 * r4811261;
        double r4811263 = r4811259 + r4811262;
        return r4811263;
}
↓
double f(double x, double y) {
        double r4811264 = y;
        double r4811265 = x;
        double r4811266 = sqrt(r4811265);
        double r4811267 = r4811264 * r4811266;
        double r4811268 = 1.0;
        double r4811269 = r4811268 - r4811265;
        double r4811270 = r4811267 + r4811269;
        return r4811270;
}

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 2019163 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))