Exception for 2-ancestry mixing, negative discriminant

Specification

\[\begin{array}{l} \\ 2 \cdot \cos \left(\frac{2 \cdot \pi}{3} + \frac{\cos^{-1} \left(\frac{-g}{h}\right)}{3}\right) \end{array} \]

(FPCore (g h)
 :precision binary64
 (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))

double code(double g, double h) {
	return 2.0 * cos((((2.0 * ((double) M_PI)) / 3.0) + (acos((-g / h)) / 3.0)));
}

public static double code(double g, double h) {
	return 2.0 * Math.cos((((2.0 * Math.PI) / 3.0) + (Math.acos((-g / h)) / 3.0)));
}

def code(g, h):
	return 2.0 * math.cos((((2.0 * math.pi) / 3.0) + (math.acos((-g / h)) / 3.0)))

function code(g, h)
	return Float64(2.0 * cos(Float64(Float64(Float64(2.0 * pi) / 3.0) + Float64(acos(Float64(Float64(-g) / h)) / 3.0))))
end

function tmp = code(g, h)
	tmp = 2.0 * cos((((2.0 * pi) / 3.0) + (acos((-g / h)) / 3.0)));
end

code[g_, h_] := N[(2.0 * N[Cos[N[(N[(N[(2.0 * Pi), $MachinePrecision] / 3.0), $MachinePrecision] + N[(N[ArcCos[N[((-g) / h), $MachinePrecision]], $MachinePrecision] / 3.0), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]

\begin{array}{l}

\\
2 \cdot \cos \left(\frac{2 \cdot \pi}{3} + \frac{\cos^{-1} \left(\frac{-g}{h}\right)}{3}\right)
\end{array}

Reproduce

herbie shell --seed 2024170 
(FPCore (g h)
  :name "2-ancestry mixing, negative discriminant"
  :precision binary64
  (* 2.0 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))

Please file a bug report with this information.

Backtrace

timeline-push!: contract violation expected: jsexpr? given: '#hash((#t . 0.062438979744911194) (unknown . 0.9365846961736679) (precondition . 0.0009763240814208984) (valid . 0.0)) in: the repeated argument of (-> symbol? jsexpr? ... void?) contract from: <pkgs>/herbie/timeline.rkt blaming: <pkgs>/herbie/searchreals.rkt (assuming the contract is correct) at: <pkgs>/herbie/timeline.rkt:10:3		L	C
raise-blame-error	/usr/local/racket/collects/racket/contract/private/blame.rkt	346	0
loop	/usr/local/racket/collects/racket/contract/private/list.rkt	991	12
(unnamed)	.../private/arrow-val-first.rkt	486	18
find-intervals	/home/nightlies/herbie/zane-job-abstraction3/src/searchreals.rkt	86	0
make-sampler	/home/nightlies/herbie/zane-job-abstraction3/src/sampling.rkt	110	0
sample-points	/home/nightlies/herbie/zane-job-abstraction3/src/sampling.rkt	244	0
setup-context!	/home/nightlies/herbie/zane-job-abstraction3/src/mainloop.rkt	45	0
get-alternatives/report	/home/nightlies/herbie/zane-job-abstraction3/src/sandbox.rkt	166	0
(unnamed)	/home/nightlies/herbie/zane-job-abstraction3/src/sandbox.rkt	260	6
(unnamed)	/usr/local/racket/share/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/local/racket/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/usr/local/racket/collects/racket/engine.rkt	42	24