Exception for math.log/2 on complex, imaginary part

Math

\[\frac{\tan^{-1}_* \frac{im}{re} \cdot \log base - \log \left(\sqrt{re \cdot re + im \cdot im}\right) \cdot 0.0}{\log base \cdot \log base + 0.0 \cdot 0.0}\]

C

double f(double re, double im, double base) {
        double r12202 = im;
        double r12203 = re;
        double r12204 = atan2(r12202, r12203);
        double r12205 = base;
        double r12206 = log(r12205);
        double r12207 = r12204 * r12206;
        double r12208 = r12203 * r12203;
        double r12209 = r12202 * r12202;
        double r12210 = r12208 + r12209;
        double r12211 = sqrt(r12210);
        double r12212 = log(r12211);
        double r12213 = 0.0;
        double r12214 = r12212 * r12213;
        double r12215 = r12207 - r12214;
        double r12216 = r12206 * r12206;
        double r12217 = r12213 * r12213;
        double r12218 = r12216 + r12217;
        double r12219 = r12215 / r12218;
        return r12219;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019310 +o rules:numerics
(FPCore (re im base)
  :name "math.log/2 on complex, imaginary part"
  :precision binary64
  (/ (- (* (atan2 im re) (log base)) (* (log (sqrt (+ (* re re) (* im im)))) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))))

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
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
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	304	27
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	301	23
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	45	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	68	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	68	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	87	4
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
(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