Average Error: 0.1 → 0.1
Time: 4.7s
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 r104356 = 1.0;
        double r104357 = x;
        double r104358 = r104356 - r104357;
        double r104359 = y;
        double r104360 = sqrt(r104357);
        double r104361 = r104359 * r104360;
        double r104362 = r104358 + r104361;
        return r104362;
}
↓
double f(double x, double y) {
        double r104363 = 1.0;
        double r104364 = x;
        double r104365 = r104363 - r104364;
        double r104366 = y;
        double r104367 = sqrt(r104364);
        double r104368 = r104366 * r104367;
        double r104369 = r104365 + r104368;
        return r104369;
}

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 2020034 +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))))