Average Error: 0.1 → 0.1
Time: 18.0s
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 r5160091 = 1.0;
        double r5160092 = x;
        double r5160093 = r5160091 - r5160092;
        double r5160094 = y;
        double r5160095 = sqrt(r5160092);
        double r5160096 = r5160094 * r5160095;
        double r5160097 = r5160093 + r5160096;
        return r5160097;
}
↓
double f(double x, double y) {
        double r5160098 = y;
        double r5160099 = x;
        double r5160100 = sqrt(r5160099);
        double r5160101 = r5160098 * r5160100;
        double r5160102 = 1.0;
        double r5160103 = r5160102 - r5160099;
        double r5160104 = r5160101 + r5160103;
        return r5160104;
}

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 2019162 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  (+ (- 1.0 x) (* y (sqrt x))))