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 r28054 = 0.5;
        double r28055 = 2.0;
        double r28056 = re;
        double r28057 = r28056 * r28056;
        double r28058 = im;
        double r28059 = r28058 * r28058;
        double r28060 = r28057 + r28059;
        double r28061 = sqrt(r28060);
        double r28062 = r28061 + r28056;
        double r28063 = r28055 * r28062;
        double r28064 = sqrt(r28063);
        double r28065 = r28054 * r28064;
        return r28065;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019315 +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