Average Error: 0.1 → 0.1
Time: 10.3s
Precision: 64
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
↓
\[\left(1 - x\right) + y \cdot \sqrt{x}\]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + y \cdot \sqrt{x}
double f(double x, double y) {
        double r115368 = 1.0;
        double r115369 = x;
        double r115370 = r115368 - r115369;
        double r115371 = y;
        double r115372 = sqrt(r115369);
        double r115373 = r115371 * r115372;
        double r115374 = r115370 + r115373;
        return r115374;
}
↓
double f(double x, double y) {
        double r115375 = 1.0;
        double r115376 = x;
        double r115377 = r115375 - r115376;
        double r115378 = y;
        double r115379 = sqrt(r115376);
        double r115380 = r115378 * r115379;
        double r115381 = r115377 + r115380;
        return r115381;
}

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. Final simplification0.1

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

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))