Exception for Bearing on a great circle

Specification

Math

\[\begin{array}{l} \\ \tan^{-1}_* \frac{\sin \left(\lambda_1 - \lambda_2\right) \cdot \cos \phi_2}{\cos \phi_1 \cdot \sin \phi_2 - \left(\sin \phi_1 \cdot \cos \phi_2\right) \cdot \cos \left(\lambda_1 - \lambda_2\right)} \end{array} \]

FPCore

(FPCore (lambda1 lambda2 phi1 phi2)
 :precision binary64
 (atan2
  (* (sin (- lambda1 lambda2)) (cos phi2))
  (-
   (* (cos phi1) (sin phi2))
   (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))))

C

double code(double lambda1, double lambda2, double phi1, double phi2) {
	return atan2((sin((lambda1 - lambda2)) * cos(phi2)), ((cos(phi1) * sin(phi2)) - ((sin(phi1) * cos(phi2)) * cos((lambda1 - lambda2)))));
}

Fortran

real(8) function code(lambda1, lambda2, phi1, phi2)
    real(8), intent (in) :: lambda1
    real(8), intent (in) :: lambda2
    real(8), intent (in) :: phi1
    real(8), intent (in) :: phi2
    code = atan2((sin((lambda1 - lambda2)) * cos(phi2)), ((cos(phi1) * sin(phi2)) - ((sin(phi1) * cos(phi2)) * cos((lambda1 - lambda2)))))
end function

Java

public static double code(double lambda1, double lambda2, double phi1, double phi2) {
	return Math.atan2((Math.sin((lambda1 - lambda2)) * Math.cos(phi2)), ((Math.cos(phi1) * Math.sin(phi2)) - ((Math.sin(phi1) * Math.cos(phi2)) * Math.cos((lambda1 - lambda2)))));
}

Python

def code(lambda1, lambda2, phi1, phi2):
	return math.atan2((math.sin((lambda1 - lambda2)) * math.cos(phi2)), ((math.cos(phi1) * math.sin(phi2)) - ((math.sin(phi1) * math.cos(phi2)) * math.cos((lambda1 - lambda2)))))

Julia

function code(lambda1, lambda2, phi1, phi2)
	return atan(Float64(sin(Float64(lambda1 - lambda2)) * cos(phi2)), Float64(Float64(cos(phi1) * sin(phi2)) - Float64(Float64(sin(phi1) * cos(phi2)) * cos(Float64(lambda1 - lambda2)))))
end

MATLAB

function tmp = code(lambda1, lambda2, phi1, phi2)
	tmp = atan2((sin((lambda1 - lambda2)) * cos(phi2)), ((cos(phi1) * sin(phi2)) - ((sin(phi1) * cos(phi2)) * cos((lambda1 - lambda2)))));
end

Wolfram

code[lambda1_, lambda2_, phi1_, phi2_] := N[ArcTan[N[(N[Sin[N[(lambda1 - lambda2), $MachinePrecision]], $MachinePrecision] * N[Cos[phi2], $MachinePrecision]), $MachinePrecision] / N[(N[(N[Cos[phi1], $MachinePrecision] * N[Sin[phi2], $MachinePrecision]), $MachinePrecision] - N[(N[(N[Sin[phi1], $MachinePrecision] * N[Cos[phi2], $MachinePrecision]), $MachinePrecision] * N[Cos[N[(lambda1 - lambda2), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]

Reproduce

herbie shell --seed 2024146 
(FPCore (lambda1 lambda2 phi1 phi2)
  :name "Bearing on a great circle"
  :precision binary64
  (atan2 (* (sin (- lambda1 lambda2)) (cos phi2)) (- (* (cos phi1) (sin phi2)) (* (* (sin phi1) (cos phi2)) (cos (- lambda1 lambda2))))))

Please file a bug report with this information.

Backtrace

application: not a procedure; expected a procedure that can be applied to arguments given: #f		L	C
backward-pass	/home/nightlies/herbie/jackson-mergable-platform-changes/src/correct-round.rkt	146	0
compiled-spec	/home/nightlies/herbie/jackson-mergable-platform-changes/src/correct-round.rkt	27	2
compiled-spec	/home/nightlies/herbie/jackson-mergable-platform-changes/src/correct-round.rkt	143	2
compiled-spec	/home/nightlies/herbie/jackson-mergable-platform-changes/src/correct-round.rkt	27	2
compiled-spec	/home/nightlies/herbie/jackson-mergable-platform-changes/src/ground-truth.rkt	31	2
ival-eval	/home/nightlies/herbie/jackson-mergable-platform-changes/src/ground-truth.rkt	55	0
<eval-prog-real>	/home/nightlies/herbie/jackson-mergable-platform-changes/src/ground-truth.rkt	86	2
compute-local-errors	/home/nightlies/herbie/jackson-mergable-platform-changes/src/core/localize.rkt	75	0
batch-localize-errors	/home/nightlies/herbie/jackson-mergable-platform-changes/src/core/localize.rkt	61	0
localize!	/home/nightlies/herbie/jackson-mergable-platform-changes/src/mainloop.rkt	201	0
run-iter!	/home/nightlies/herbie/jackson-mergable-platform-changes/src/mainloop.rkt	73	0
mutate!	/home/nightlies/herbie/jackson-mergable-platform-changes/src/mainloop.rkt	65	0
run-improve!	/home/nightlies/herbie/jackson-mergable-platform-changes/src/mainloop.rkt	51	0
get-alternatives/report	/home/nightlies/herbie/jackson-mergable-platform-changes/src/sandbox.rkt	169	0
(unnamed)	/home/nightlies/herbie/jackson-mergable-platform-changes/src/sandbox.rkt	263	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