Average Error: 0.1 → 0.1
Time: 15.2s
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 r81800 = 1.0;
        double r81801 = x;
        double r81802 = r81800 - r81801;
        double r81803 = y;
        double r81804 = sqrt(r81801);
        double r81805 = r81803 * r81804;
        double r81806 = r81802 + r81805;
        return r81806;
}
↓
double f(double x, double y) {
        double r81807 = 1.0;
        double r81808 = x;
        double r81809 = sqrt(r81808);
        double r81810 = y;
        double r81811 = r81809 * r81810;
        double r81812 = r81808 - r81811;
        double r81813 = r81807 - r81812;
        return r81813;
}

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 2019179 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))