Average Error: 0.1 → 0.1
Time: 19.9s
Precision: 64
\[\left(1.0 - x\right) + y \cdot \sqrt{x}\]
↓
\[y \cdot \sqrt{x} + \left(1.0 - x\right)\]
\left(1.0 - x\right) + y \cdot \sqrt{x}
↓
y \cdot \sqrt{x} + \left(1.0 - x\right)
double f(double x, double y) {
        double r4724090 = 1.0;
        double r4724091 = x;
        double r4724092 = r4724090 - r4724091;
        double r4724093 = y;
        double r4724094 = sqrt(r4724091);
        double r4724095 = r4724093 * r4724094;
        double r4724096 = r4724092 + r4724095;
        return r4724096;
}
↓
double f(double x, double y) {
        double r4724097 = y;
        double r4724098 = x;
        double r4724099 = sqrt(r4724098);
        double r4724100 = r4724097 * r4724099;
        double r4724101 = 1.0;
        double r4724102 = r4724101 - r4724098;
        double r4724103 = r4724100 + r4724102;
        return r4724103;
}

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

    \[\left(1.0 - x\right) + y \cdot \sqrt{x}\]

  2. Final simplification0.1

    \[\leadsto y \cdot \sqrt{x} + \left(1.0 - x\right)\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))