Exception for math.sqrt on complex, imaginary part, im greater than 0 branch

Specification

\[im > 0\]

Math

\[\begin{array}{l} \\ 0.5 \cdot \sqrt{2 \cdot \left(\sqrt{re \cdot re + im \cdot im} - re\right)} \end{array} \]

FPCore

(FPCore (re im)
 :precision binary64
 (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))

C

double code(double re, double im) {
	return 0.5 * sqrt((2.0 * (sqrt(((re * re) + (im * im))) - re)));
}

Fortran

real(8) function code(re, im)
    real(8), intent (in) :: re
    real(8), intent (in) :: im
    code = 0.5d0 * sqrt((2.0d0 * (sqrt(((re * re) + (im * im))) - re)))
end function

Java

public static double code(double re, double im) {
	return 0.5 * Math.sqrt((2.0 * (Math.sqrt(((re * re) + (im * im))) - re)));
}

Python

def code(re, im):
	return 0.5 * math.sqrt((2.0 * (math.sqrt(((re * re) + (im * im))) - re)))

Julia

function code(re, im)
	return Float64(0.5 * sqrt(Float64(2.0 * Float64(sqrt(Float64(Float64(re * re) + Float64(im * im))) - re))))
end

MATLAB

function tmp = code(re, im)
	tmp = 0.5 * sqrt((2.0 * (sqrt(((re * re) + (im * im))) - re)));
end

Wolfram

code[re_, im_] := N[(0.5 * N[Sqrt[N[(2.0 * N[(N[Sqrt[N[(N[(re * re), $MachinePrecision] + N[(im * im), $MachinePrecision]), $MachinePrecision]], $MachinePrecision] - re), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]

Reproduce

herbie shell --seed 2024146 
(FPCore (re im)
  :name "math.sqrt on complex, imaginary part, im greater than 0 branch"
  :precision binary64
  :pre (> im 0.0)
  (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))))

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