Average Error: 23.7 → 23.7
Time: 1.3s
Precision: binary64
\[\frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}\]
↓
\[\frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}\]
\frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}
↓
\frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}
double code(double y, double p) {
	return ((double) (((double) (1.0 - y)) / ((double) sqrt(((double) (((double) (p / y)) + ((double) pow(((double) (1.0 - y)), 2.0))))))));
}
↓
double code(double y, double p) {
	return ((double) (((double) (1.0 - y)) / ((double) sqrt(((double) (((double) (p / y)) + ((double) pow(((double) (1.0 - y)), 2.0))))))));
}

Error

Bits error versus y

Bits error versus p

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 23.7

    \[\frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}\]

  2. Final simplification23.7

    \[\leadsto \frac{1 - y}{\sqrt{\frac{p}{y} + {\left(1 - y\right)}^{2}}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (y p)
  :name "(/ (- 1 y) (sqrt (+ (/ p y) (pow (- 1 y) 2))))"
  :precision binary64
  (/ (- 1.0 y) (sqrt (+ (/ p y) (pow (- 1.0 y) 2.0)))))