Average Error: 0.1 → 0.1
Time: 10.7s
Precision: binary64
\[\left(1 - x\right) + y \cdot \sqrt{x} \]
↓
\[\left(1 - x\right) + y \cdot \sqrt{x} \]
\left(1 - x\right) + y \cdot \sqrt{x}
↓
\left(1 - x\right) + y \cdot \sqrt{x}

(FPCore (x y) :precision binary64 (+ (- 1.0 x) (* y (sqrt x))))
↓
(FPCore (x y) :precision binary64 (+ (- 1.0 x) (* y (sqrt x))))
double code(double x, double y) {
	return (1.0 - x) + (y * sqrt(x));
}
↓
double code(double x, double y) {
	return (1.0 - x) + (y * sqrt(x));
}

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 2022076 
(FPCore (x y)
  :name "Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E"
  :precision binary64
  (+ (- 1.0 x) (* y (sqrt x))))