\[e^{\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.re - \tan^{-1}_* \frac{x.im}{x.re} \cdot y.im} \cdot \sin \left(\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.im + \tan^{-1}_* \frac{x.im}{x.re} \cdot y.re\right)\]

e^{\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.re - \tan^{-1}_* \frac{x.im}{x.re} \cdot y.im} \cdot \sin \left(\log \left(\sqrt{x.re \cdot x.re + x.im \cdot x.im}\right) \cdot y.im + \tan^{-1}_* \frac{x.im}{x.re} \cdot y.re\right)

double f(double x_re, double x_im, double y_re, double y_im) {
        double r8157 = x_re;
        double r8158 = r8157 * r8157;
        double r8159 = x_im;
        double r8160 = r8159 * r8159;
        double r8161 = r8158 + r8160;
        double r8162 = sqrt(r8161);
        double r8163 = log(r8162);
        double r8164 = y_re;
        double r8165 = r8163 * r8164;
        double r8166 = atan2(r8159, r8157);
        double r8167 = y_im;
        double r8168 = r8166 * r8167;
        double r8169 = r8165 - r8168;
        double r8170 = exp(r8169);
        double r8171 = r8163 * r8167;
        double r8172 = r8166 * r8164;
        double r8173 = r8171 + r8172;
        double r8174 = sin(r8173);
        double r8175 = r8170 * r8174;
        return r8175;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019310 +o rules:numerics
(FPCore (x.re x.im y.re y.im)
  :name "powComplex, imaginary part"
  :precision binary64
  (* (exp (- (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.re) (* (atan2 x.im x.re) y.im))) (sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.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
taylor	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	170	0
taylor	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	170	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
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
(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