\[\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right) \cdot \log base + \tan^{-1}_* \frac{im}{re} \cdot 0.0}{\log base \cdot \log base + 0.0 \cdot 0.0}\]
\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right) \cdot \log base + \tan^{-1}_* \frac{im}{re} \cdot 0.0}{\log base \cdot \log base + 0.0 \cdot 0.0}
double f(double re, double im, double base) {
        double r10153 = re;
        double r10154 = r10153 * r10153;
        double r10155 = im;
        double r10156 = r10155 * r10155;
        double r10157 = r10154 + r10156;
        double r10158 = sqrt(r10157);
        double r10159 = log(r10158);
        double r10160 = base;
        double r10161 = log(r10160);
        double r10162 = r10159 * r10161;
        double r10163 = atan2(r10155, r10153);
        double r10164 = 0.0;
        double r10165 = r10163 * r10164;
        double r10166 = r10162 + r10165;
        double r10167 = r10161 * r10161;
        double r10168 = r10164 * r10164;
        double r10169 = r10167 + r10168;
        double r10170 = r10166 / r10169;
        return r10170;
}

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, real part"
  :precision binary64
  (/ (+ (* (log (sqrt (+ (* re re) (* im im)))) (log base)) (* (atan2 im re) 0.0)) (+ (* (log base) (log base)) (* 0.0 0.0))))

Backtrace

match: no matching clause for 'binary64LC
match:error/opt/racket-7.2/collects/racket/match/runtime.rkt240
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt2463
make-multiplication-subnode/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt2440
make-multiplication-node/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt2340
simplify/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt160
hash-ref!/opt/racket-7.2/collects/racket/private/more-scheme.rkt3762
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt29152
(unnamed)/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt29126
hash-ref!/opt/racket-7.2/collects/racket/private/more-scheme.rkt3762
first-nonzero-exp/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt2660
taylor-sqrt/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt3520
taylor/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt1700
taylor/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt1700
map/opt/racket-7.2/collects/racket/private/map.rkt3513
taylor/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt1700
taylor/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt1700
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt3018
approximate9/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt120
(unnamed)/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt36033
location-do/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt640
(unnamed)/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt36033
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt1516
taylor-alt/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt1450
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt1667
gen-series!/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt1590
run-iter!/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt3260
for-loop/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt3644
run-improve47/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt3450
(unnamed)/opt/racket-7.2/collects/racket/private/more-scheme.rkt26128
run/opt/racket-7.2/share/pkgs/profile-lib/main.rkt392
profile-thunk16/opt/racket-7.2/share/pkgs/profile-lib/main.rkt90
(unnamed)/opt/racket-7.2/collects/racket/private/more-scheme.rkt26128