Exception for Hyperbolic arc-cosine

Specification

\[\begin{array}{l} \\ \log \left(x + \sqrt{x \cdot x - 1}\right) \end{array} \]

(FPCore (x) :precision binary64 (log (+ x (sqrt (- (* x x) 1.0)))))

double code(double x) {
	return log((x + sqrt(((x * x) - 1.0))));
}

real(8) function code(x)
    real(8), intent (in) :: x
    code = log((x + sqrt(((x * x) - 1.0d0))))
end function

public static double code(double x) {
	return Math.log((x + Math.sqrt(((x * x) - 1.0))));
}

def code(x):
	return math.log((x + math.sqrt(((x * x) - 1.0))))

function code(x)
	return log(Float64(x + sqrt(Float64(Float64(x * x) - 1.0))))
end

function tmp = code(x)
	tmp = log((x + sqrt(((x * x) - 1.0))));
end

code[x_] := N[Log[N[(x + N[Sqrt[N[(N[(x * x), $MachinePrecision] - 1.0), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]], $MachinePrecision]

\begin{array}{l}

\\
\log \left(x + \sqrt{x \cdot x - 1}\right)
\end{array}

Reproduce

herbie shell --seed 2024278 
(FPCore (x)
  :name "Hyperbolic arc-cosine"
  :precision binary64
  (log (+ x (sqrt (- (* x x) 1.0)))))

Please file a bug report with this information.

Backtrace

Invalid input		L	C
rival-apply	/home/nightlies/.local/share/racket/8.10/pkgs/rival/eval/main.rkt	65	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-val-first.rkt	486	18
f169	.../match/compiler.rkt	559	40
compute-local-errors	/home/nightlies/herbie/zane-concrete-values/src/core/localize.rkt	132	0
actual-errors	/home/nightlies/herbie/zane-concrete-values/src/core/explain.rkt	35	0
generate-timelines	/home/nightlies/herbie/zane-concrete-values/src/core/explain.rkt	498	0
explain!	/home/nightlies/herbie/zane-concrete-values/src/core/mainloop.rkt	323	0
run-improve!	/home/nightlies/herbie/zane-concrete-values/src/core/mainloop.rkt	45	0
get-alternatives/report	/home/nightlies/herbie/zane-concrete-values/src/api/sandbox.rkt	186	0
(unnamed)	/home/nightlies/herbie/zane-concrete-values/src/api/sandbox.rkt	282	6
(unnamed)	/usr/share/racket/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/share/racket/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/usr/share/racket/collects/racket/engine.rkt	42	24