Average Error: 0.4 → 0.4
Time: 1.9s
Precision: binary64
\[\frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}\]
↓
\[\frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}\]
\frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}
↓
\frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}
double code(double x) {
	return ((double) (1.0 / ((double) (((double) sqrt(((double) (x - 113.0)))) * ((double) sqrt(((double) (x - 220.0))))))));
}
↓
double code(double x) {
	return ((double) (1.0 / ((double) (((double) sqrt(((double) (x - 113.0)))) * ((double) sqrt(((double) (x - 220.0))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.4

    \[\frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}\]

  2. Final simplification0.4

    \[\leadsto \frac{1}{\sqrt{x - 113} \cdot \sqrt{x - 220}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(/ 1 (* (sqrt (- x 113)) (sqrt (- x 220))))"
  :precision binary64
  (/ 1.0 (* (sqrt (- x 113.0)) (sqrt (- x 220.0)))))