Exception for Beckmann Sample, normalization factor

Specification

\[\left(0 < cosTheta \land cosTheta < 0.9999\right) \land \left(-1 < c \land c < 1\right)\]

\[\begin{array}{l} \\ \frac{1}{\left(1 + c\right) + \left(\frac{1}{\sqrt{\mathsf{PI}\left(\right)}} \cdot \frac{\sqrt{\left(1 - cosTheta\right) - cosTheta}}{cosTheta}\right) \cdot e^{\left(-cosTheta\right) \cdot cosTheta}} \end{array} \]

(FPCore (cosTheta c)
 :precision binary32
 (/
  1.0
  (+
   (+ 1.0 c)
   (*
    (* (/ 1.0 (sqrt (PI))) (/ (sqrt (- (- 1.0 cosTheta) cosTheta)) cosTheta))
    (exp (* (- cosTheta) cosTheta))))))

\begin{array}{l}

\\
\frac{1}{\left(1 + c\right) + \left(\frac{1}{\sqrt{\mathsf{PI}\left(\right)}} \cdot \frac{\sqrt{\left(1 - cosTheta\right) - cosTheta}}{cosTheta}\right) \cdot e^{\left(-cosTheta\right) \cdot cosTheta}}
\end{array}

Reproduce

herbie shell --seed 2025030 
(FPCore (cosTheta c)
  :name "Beckmann Sample, normalization factor"
  :precision binary32
  :pre (and (and (< 0.0 cosTheta) (< cosTheta 0.9999)) (and (< -1.0 c) (< c 1.0)))
  (/ 1.0 (+ (+ 1.0 c) (* (* (/ 1.0 (sqrt (PI))) (/ (sqrt (- (- 1.0 cosTheta) cosTheta)) cosTheta)) (exp (* (- cosTheta) cosTheta))))))

Please file a bug report with this information.

Backtrace

operator-info: Unknown operator binary32		L	C
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	379	33
enode-type	/home/nightlies/herbie/really-crazy-encodings/src/core/egg-herbie.rkt	566	0
split-untyped-eclasses	/home/nightlies/herbie/really-crazy-encodings/src/core/egg-herbie.rkt	621	0
make-typed-eclasses	/home/nightlies/herbie/really-crazy-encodings/src/core/egg-herbie.rkt	791	0
make-regraph	/home/nightlies/herbie/really-crazy-encodings/src/core/egg-herbie.rkt	838	0
egraph-best	/home/nightlies/herbie/really-crazy-encodings/src/core/egg-herbie.rkt	1395	0
simplify-batch	/home/nightlies/herbie/really-crazy-encodings/src/core/simplify.rkt	19	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-val-first.rkt	486	18
initial-simplify	/home/nightlies/herbie/really-crazy-encodings/src/core/preprocess.rkt	54	0
find-preprocessing	/home/nightlies/herbie/really-crazy-encodings/src/core/preprocess.rkt	81	0
run-improve!	/home/nightlies/herbie/really-crazy-encodings/src/core/mainloop.rkt	45	0
get-alternatives/report	/home/nightlies/herbie/really-crazy-encodings/src/api/sandbox.rkt	174	0
(unnamed)	/home/nightlies/herbie/really-crazy-encodings/src/api/sandbox.rkt	265	6
(unnamed)	/usr/share/racket/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/share/racket/pkgs/profile-lib/main.rkt	9	0
in-engine	/home/nightlies/herbie/really-crazy-encodings/src/api/sandbox.rkt	283	2
(unnamed)	/usr/share/racket/collects/racket/engine.rkt	42	24