\[\sqrt{\frac{\left(x \cdot x + y \cdot y\right) + z \cdot z}{3}}\]
\sqrt{\frac{\left(x \cdot x + y \cdot y\right) + z \cdot z}{3}}
double code(double x, double y, double z) {
	return ((double) sqrt(((double) (((double) (((double) (((double) (x * x)) + ((double) (y * y)))) + ((double) (z * z)))) / 3.0))));
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2020169 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1"
  :precision binary64

  :herbie-target
  (if (< z -6.396479394109776e+136) (/ (neg z) (sqrt 3.0)) (if (< z 7.320293694404182e+117) (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)) (* (sqrt 0.3333333333333333) z)))

  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))

Backtrace

match-define: no matching clause for '(== branch2626 -2.153962051183055e+78)LC
match:error/opt/racket-7.5/collects/racket/match/runtime.rkt240
program-body/data/pavpan/nightlies/herbie/ival-find-range/src/programs.rkt250
(unnamed)/opt/racket-7.5/collects/racket/contract/private/arrow-higher-order.rkt37933
prepare-points/data/pavpan/nightlies/herbie/ival-find-range/src/points.rkt1300
pred/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt2044
.../more-scheme.rkt:261:28unknown
for-loop/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt2403
sindices->spoints/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt1940
f37unknown
get-final-combination/data/pavpan/nightlies/herbie/ival-find-range/src/mainloop.rkt3890
.../more-scheme.rkt:261:28unknown
run/opt/racket-7.5/share/pkgs/profile-lib/main.rkt392
profile-thunk16/opt/racket-7.5/share/pkgs/profile-lib/main.rkt90
(unnamed)/opt/racket-7.5/collects/racket/private/more-scheme.rkt26128

Reproduce

herbie shell --seed 2020169 
(FPCore (x y z)
  :name "Data.Array.Repa.Algorithms.Pixel:doubleRmsOfRGB8 from repa-algorithms-3.4.0.1"
  :precision binary64

  :herbie-target
  (if (< z -6.396479394109776e+136) (/ (neg z) (sqrt 3.0)) (if (< z 7.320293694404182e+117) (/ (sqrt (+ (+ (* z z) (* x x)) (* y y))) (sqrt 3.0)) (* (sqrt 0.3333333333333333) z)))

  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))