\[0.5 \cdot \sqrt{2 \cdot \left(\sqrt{re \cdot re + im \cdot im} - re\right)}\]

0.5 \cdot \sqrt{2 \cdot \left(\sqrt{re \cdot re + im \cdot im} - re\right)}

double f(double re, double im) {
        double r7976 = 0.5;
        double r7977 = 2.0;
        double r7978 = re;
        double r7979 = r7978 * r7978;
        double r7980 = im;
        double r7981 = r7980 * r7980;
        double r7982 = r7979 + r7981;
        double r7983 = sqrt(r7982);
        double r7984 = r7983 - r7978;
        double r7985 = r7977 * r7984;
        double r7986 = sqrt(r7985);
        double r7987 = r7976 * r7986;
        return r7987;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019191 
(FPCore (re im)
  :name "math.sqrt on complex, imaginary part, im greater than 0 branch"
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))

Backtrace

get-representation: Unknown representation #f		L	C
loop	/data/pavpan/nightlies/herbie/interface2/src/points.rkt	122	4
prepare-points	/data/pavpan/nightlies/herbie/interface2/src/points.rkt	146	0
setup-prog!34	/data/pavpan/nightlies/herbie/interface2/src/mainloop.rkt	67	0
run-improve43	/data/pavpan/nightlies/herbie/interface2/src/mainloop.rkt	339	0
(unnamed)	/opt/racket-7.0/collects/racket/private/more-scheme.rkt	261	28
run	/opt/racket-7.0/share/pkgs/profile-lib/main.rkt	39	2
profile-thunk16	/opt/racket-7.0/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/opt/racket-7.0/collects/racket/private/more-scheme.rkt	261	28