Average Error: 26.1 → 23.4
Time: 4.0s
Precision: binary64
\[\]
↓
\[\]
↓
double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((double) (((double) (((double) (x_46_im * y_46_re)) - ((double) (x_46_re * y_46_im)))) / ((double) (((double) (y_46_re * y_46_re)) + ((double) (y_46_im * y_46_im))))));
}

↓
double code(double x_46_re, double x_46_im, double y_46_re, double y_46_im) {
	return ((double) (((double) (((double) (x_46_im / ((double) sqrt(((double) (((double) (y_46_re * y_46_re)) + ((double) (y_46_im * y_46_im)))))))) * ((double) (y_46_re / ((double) sqrt(((double) (((double) (y_46_re * y_46_re)) + ((double) (y_46_im * y_46_im)))))))))) - ((double) (x_46_re * ((double) (y_46_im / ((double) (((double) (y_46_re * y_46_re)) + ((double) (y_46_im * y_46_im))))))))));
}

Error
Bits error versus x.re
Bits error versus x.im
Bits error versus y.re
Bits error versus y.im
Try it out
Your Program's Arguments
Results
Enter valid numbers for all inputs
Derivation
  1. Initial program 26.1
    \[\]
  2. Using strategy rm
  3. Applied div-sub26.1
    \[\leadsto \]
  4. Simplified24.9
    \[\leadsto \]
  5. Simplified23.3
    \[\leadsto \]
  6. Using strategy rm
  7. Applied add-sqr-sqrt23.3
    \[\leadsto \]
  8. Applied *-un-lft-identity23.3
    \[\leadsto \]
  9. Applied times-frac23.3
    \[\leadsto \]
  10. Applied associate-*r*23.4
    \[\leadsto \]
  11. Simplified23.4
    \[\leadsto \]
  12. Final simplification23.4
    \[\leadsto \]
Reproduce
herbie shell --seed 2020180 
(FPCore (x.re x.im y.re y.im)
  :name "_divideComplex, imaginary part"
  :precision binary64
  (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im))))