\[\sqrt{a \cdot a - b \cdot b} \]
(FPCore (a b) :precision binary64 (sqrt (- (* a a) (* b b))))
double code(double a, double b) {
	return sqrt(((a * a) - (b * b)));
}
real(8) function code(a, b)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    code = sqrt(((a * a) - (b * b)))
end function
public static double code(double a, double b) {
	return Math.sqrt(((a * a) - (b * b)));
}
def code(a, b):
	return math.sqrt(((a * a) - (b * b)))
function code(a, b)
	return sqrt(Float64(Float64(a * a) - Float64(b * b)))
end
function tmp = code(a, b)
	tmp = sqrt(((a * a) - (b * b)));
end
code[a_, b_] := N[Sqrt[N[(N[(a * a), $MachinePrecision] - N[(b * b), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]
\sqrt{a \cdot a - b \cdot b}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2022349 
(FPCore (a b)
  :name "bug366, discussion (missed optimization)"
  :precision binary64

  :herbie-target
  (* (sqrt (+ (fabs a) (fabs b))) (sqrt (- (fabs a) (fabs b))))

  (sqrt (- (* a a) (* b b))))

Backtrace

error writing to stream port system error: Broken pipe; errno=32LC
writeln/usr/share/racket/collects/racket/private/misc.rkt1564
run-egglog/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/egglog/run-egglog.rkt13010
run-simplify-input/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/core/simplify.rkt740
simplify-batch/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/core/simplify.rkt510
(unnamed)/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt37933
get-swaps/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/symmetry.rkt60
connected-components/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/symmetry.rkt200
run-improve!/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/mainloop.rkt3200
(unnamed)/home/nightlies/nightlies/herbie/oflatt-egglog-ctx/src/sandbox.rkt556
(unnamed)/usr/share/racket/pkgs/profile-lib/main.rkt4010
profile-thunk/usr/share/racket/pkgs/profile-lib/main.rkt90
(unnamed)/usr/share/racket/collects/racket/engine.rkt4224