Exception for Complex division, imag part

Math

\[\frac{b \cdot c - a \cdot d}{c \cdot c + d \cdot d} \]

FPCore

(FPCore (a b c d)
 :precision binary64
 (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))

C

double code(double a, double b, double c, double d) {
	return ((b * c) - (a * d)) / ((c * c) + (d * d));
}

Fortran

real(8) function code(a, b, c, d)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: d
    code = ((b * c) - (a * d)) / ((c * c) + (d * d))
end function

Java

public static double code(double a, double b, double c, double d) {
	return ((b * c) - (a * d)) / ((c * c) + (d * d));
}

Python

def code(a, b, c, d):
	return ((b * c) - (a * d)) / ((c * c) + (d * d))

Julia

function code(a, b, c, d)
	return Float64(Float64(Float64(b * c) - Float64(a * d)) / Float64(Float64(c * c) + Float64(d * d)))
end

MATLAB

function tmp = code(a, b, c, d)
	tmp = ((b * c) - (a * d)) / ((c * c) + (d * d));
end

Wolfram

code[a_, b_, c_, d_] := N[(N[(N[(b * c), $MachinePrecision] - N[(a * d), $MachinePrecision]), $MachinePrecision] / N[(N[(c * c), $MachinePrecision] + N[(d * d), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2023098 
(FPCore (a b c d)
  :name "Complex division, imag part"
  :precision binary64

  :herbie-target
  (if (< (fabs d) (fabs c)) (/ (- b (* a (/ d c))) (+ c (* d (/ d c)))) (/ (+ (- a) (* b (/ c d))) (+ d (* c (/ c d)))))

  (/ (- (* b c) (* a d)) (+ (* c c) (* d d))))

Backtrace

hash-ref: no value found for key key: 'false		L	C
(unnamed)	/home/nightlies/herbie/using-ruler-nightlies/src/syntax/syntax.rkt	230	2
f336	.../match/compiler.rkt	548	40
expand-parametric	/home/nightlies/herbie/using-ruler-nightlies/src/syntax/sugar.rkt	62	0
(unnamed)	/home/nightlies/herbie/using-ruler-nightlies/src/core/egg-herbie.rkt	255	9
rule->egg-rules	/home/nightlies/herbie/using-ruler-nightlies/src/core/egg-herbie.rkt	224	0
expand-rules	/home/nightlies/herbie/using-ruler-nightlies/src/core/egg-herbie.rkt	488	0
egraph-run-rules	/home/nightlies/herbie/using-ruler-nightlies/src/core/egg-herbie.rkt	509	0
(unnamed)	/home/nightlies/herbie/using-ruler-nightlies/src/core/simplify.rkt	58	3
with-egraph	/home/nightlies/herbie/using-ruler-nightlies/src/core/egg-herbie.rkt	333	0
simplify-batch	/home/nightlies/herbie/using-ruler-nightlies/src/core/simplify.rkt	23	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	379	33
get-swaps	/home/nightlies/herbie/using-ruler-nightlies/src/symmetry.rkt	6	0
connected-components	/home/nightlies/herbie/using-ruler-nightlies/src/symmetry.rkt	18	0
run-improve!	/home/nightlies/herbie/using-ruler-nightlies/src/mainloop.rkt	320	0
run-herbie	/home/nightlies/herbie/using-ruler-nightlies/src/sandbox.rkt	57	0
(unnamed)	/home/nightlies/herbie/using-ruler-nightlies/src/sandbox.rkt	133	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