Exception for math.sqrt on complex, real part

Math

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

C

double f(double re, double im) {
        double r41441 = 0.5;
        double r41442 = 2.0;
        double r41443 = re;
        double r41444 = r41443 * r41443;
        double r41445 = im;
        double r41446 = r41445 * r41445;
        double r41447 = r41444 + r41446;
        double r41448 = sqrt(r41447);
        double r41449 = r41448 + r41443;
        double r41450 = r41442 * r41449;
        double r41451 = sqrt(r41450);
        double r41452 = r41441 * r41451;
        return r41452;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019310 +o rules:numerics
(FPCore (re im)
  :name "math.sqrt on complex, real part"
  :precision binary64

  :herbie-target
  (if (< re 0.0) (* 0.5 (* (sqrt 2) (sqrt (/ (* im im) (- (sqrt (+ (* re re) (* im im))) re))))) (* 0.5 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))

  (* 0.5 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))))

Backtrace

match: no matching clause for 'binary64		L	C
match:error	/opt/racket-7.2/collects/racket/match/runtime.rkt	24	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	246	3
make-multiplication-subnode	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	244	0
make-multiplication-node	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	234	0
simplify	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	16	0
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	291	52
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	291	26
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
first-nonzero-exp	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	266	0
taylor-sqrt	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	352	0
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
taylor	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	170	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	30	18
approximate9	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	12	0
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	151	6
taylor-alt	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	145	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	166	7
gen-series!	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	159	0
run-iter!	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	326	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	364	4
run-improve47	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	345	0
(unnamed)	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	261	28
run	/opt/racket-7.2/share/pkgs/profile-lib/main.rkt	39	2
profile-thunk16	/opt/racket-7.2/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	261	28