\[\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right)}{\log 10} \]
(FPCore (re im)
 :precision binary64
 (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)))
double code(double re, double im) {
	return log(sqrt(((re * re) + (im * im)))) / log(10.0);
}
real(8) function code(re, im)
    real(8), intent (in) :: re
    real(8), intent (in) :: im
    code = log(sqrt(((re * re) + (im * im)))) / log(10.0d0)
end function
public static double code(double re, double im) {
	return Math.log(Math.sqrt(((re * re) + (im * im)))) / Math.log(10.0);
}
def code(re, im):
	return math.log(math.sqrt(((re * re) + (im * im)))) / math.log(10.0)
function code(re, im)
	return Float64(log(sqrt(Float64(Float64(re * re) + Float64(im * im)))) / log(10.0))
end
function tmp = code(re, im)
	tmp = log(sqrt(((re * re) + (im * im)))) / log(10.0);
end
code[re_, im_] := N[(N[Log[N[Sqrt[N[(N[(re * re), $MachinePrecision] + N[(im * im), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]], $MachinePrecision] / N[Log[10.0], $MachinePrecision]), $MachinePrecision]
\frac{\log \left(\sqrt{re \cdot re + im \cdot im}\right)}{\log 10}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2022150 
(FPCore (re im)
  :name "math.log10 on complex, real part"
  :precision binary64
  (/ (log (sqrt (+ (* re re) (* im im)))) (log 10.0)))

Backtrace

application: required keyword argument not supplied procedure: batch-egg-rewrite required keyword: #:rules arguments...: '(#<rule erfc-erf_binary64> #<rule erf-erfc_binary64> #<rule erf-odd_binary64> #<rule prod-diff_binary64> #<rule hypot-udef_binary64> #<rule expm1-log1p-u_binary64> #<rule log1p-expm1-u_binary64> #<rule log1p-udef_binary64> #<rule expm1-udef_binary64> #... #:depths '(1 1) #:roots '((2) (2))LC
(unnamed)/opt/racket-8.1/collects/racket/private/kw.rkt155814
rewrite-expressions/data/pavpan/nightlies/herbie/timeline/src/core/matcher.rkt1710
gen-rewrites!/data/pavpan/nightlies/herbie/timeline/src/patch.rkt1440
patch-table-run/data/pavpan/nightlies/herbie/timeline/src/patch.rkt2910
(unnamed)/opt/racket-8.1/collects/racket/contract/private/arrow-val-first.rkt48618
run-iter!/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt2460
mutate!/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt3790
run-improve!/data/pavpan/nightlies/herbie/timeline/src/mainloop.rkt3260
(unnamed)/data/pavpan/nightlies/herbie/timeline/src/sandbox.rkt666
(unnamed)/opt/racket-8.1/share/pkgs/profile-lib/main.rkt4010
profile-thunk/opt/racket-8.1/share/pkgs/profile-lib/main.rkt90
(unnamed)/opt/racket-8.1/collects/racket/engine.rkt4224