Average Error: 20.4 → 20.4
Time: 1.2s
Precision: binary64
\[\frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}\]
↓
\[\frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}\]
\frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}
↓
\frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}
double code(double s, double v) {
	return ((double) (1.0 / ((double) sqrt(((double) (((double) (1.0 / ((double) pow(s, 2.0)))) + ((double) (1.0 / v))))))));
}
↓
double code(double s, double v) {
	return ((double) (1.0 / ((double) sqrt(((double) (((double) (1.0 / ((double) pow(s, 2.0)))) + ((double) (1.0 / v))))))));
}

Error

Bits error versus s

Bits error versus v

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 20.4

    \[\frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}\]

  2. Final simplification20.4

    \[\leadsto \frac{1}{\sqrt{\frac{1}{{s}^{2}} + \frac{1}{v}}}\]

Reproduce

herbie shell --seed 2020152 
(FPCore (s v)
  :name "(/ 1 (sqrt (+ (/ 1 (pow s 2)) (/ 1 v))))"
  :precision binary64
  (/ 1.0 (sqrt (+ (/ 1.0 (pow s 2.0)) (/ 1.0 v)))))