Average Error: 24.9 → 24.9
Time: 697.0ms
Precision: binary64
\[\frac{y}{\sqrt{d \cdot d + y \cdot y}}\]
↓
\[\frac{y}{\sqrt{d \cdot d + y \cdot y}}\]
\frac{y}{\sqrt{d \cdot d + y \cdot y}}
↓
\frac{y}{\sqrt{d \cdot d + y \cdot y}}
double code(double y, double d) {
	return ((double) (y / ((double) sqrt(((double) (((double) (d * d)) + ((double) (y * y))))))));
}
↓
double code(double y, double d) {
	return ((double) (y / ((double) sqrt(((double) (((double) (d * d)) + ((double) (y * y))))))));
}

Error

Bits error versus y

Bits error versus d

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 24.9

    \[\frac{y}{\sqrt{d \cdot d + y \cdot y}}\]

  2. Final simplification24.9

    \[\leadsto \frac{y}{\sqrt{d \cdot d + y \cdot y}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (y d)
  :name "(/ y (sqrt (+ (* d d) (* y y))))"
  :precision binary64
  (/ y (sqrt (+ (* d d) (* y y)))))