Average Error: 5.1 → 5.1
Time: 847.0ms
Precision: binary64
\[\frac{2}{1 + \sqrt{1 + a \cdot t}}\]
↓
\[\frac{2}{1 + \sqrt{1 + a \cdot t}}\]
\frac{2}{1 + \sqrt{1 + a \cdot t}}
↓
\frac{2}{1 + \sqrt{1 + a \cdot t}}
double code(double a, double t) {
	return ((double) (2.0 / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) (a * t))))))))));
}
↓
double code(double a, double t) {
	return ((double) (2.0 / ((double) (1.0 + ((double) sqrt(((double) (1.0 + ((double) (a * t))))))))));
}

Error

Bits error versus a

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 5.1

    \[\frac{2}{1 + \sqrt{1 + a \cdot t}}\]

  2. Final simplification5.1

    \[\leadsto \frac{2}{1 + \sqrt{1 + a \cdot t}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (a t)
  :name "(/ 2 (+ 1 (sqrt (+ 1 (* a t)))))"
  :precision binary64
  (/ 2.0 (+ 1.0 (sqrt (+ 1.0 (* a t))))))