Average Error: 0.1 → 0.1
Time: 15.5s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[1 - \left(x - \sqrt{x} \cdot y\right)\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
1 - \left(x - \sqrt{x} \cdot y\right)
double f(double x, double y) {
        double r92350 = 1.0;
        double r92351 = x;
        double r92352 = r92350 - r92351;
        double r92353 = y;
        double r92354 = sqrt(r92351);
        double r92355 = r92353 * r92354;
        double r92356 = r92352 + r92355;
        return r92356;
}
↓
double f(double x, double y) {
        double r92357 = 1.0;
        double r92358 = x;
        double r92359 = sqrt(r92358);
        double r92360 = y;
        double r92361 = r92359 * r92360;
        double r92362 = r92358 - r92361;
        double r92363 = r92357 - r92362;
        return r92363;
}

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. Simplified0.1

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

  3. Final simplification0.1

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

Reproduce

herbie shell --seed 2019195 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))