Average Error: 0.1 → 0.1
Time: 10.4s
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 r83347 = 1.0;
        double r83348 = x;
        double r83349 = r83347 - r83348;
        double r83350 = y;
        double r83351 = sqrt(r83348);
        double r83352 = r83350 * r83351;
        double r83353 = r83349 + r83352;
        return r83353;
}
↓
double f(double x, double y) {
        double r83354 = 1.0;
        double r83355 = x;
        double r83356 = r83354 - r83355;
        double r83357 = y;
        double r83358 = sqrt(r83355);
        double r83359 = r83357 * r83358;
        double r83360 = r83356 + r83359;
        return r83360;
}

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 +o rules:numerics
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1 x) (* y (sqrt x))))