Exception for GTR1 distribution

Specification

\[\left(0 \leq cosTheta \land cosTheta \leq 1\right) \land \left(0.0001 \leq \alpha \land \alpha \leq 1\right)\]

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \alpha \cdot \alpha - 1\\ \frac{t\_0}{\left(\mathsf{PI}\left(\right) \cdot \log \left(\alpha \cdot \alpha\right)\right) \cdot \left(1 + \left(t\_0 \cdot cosTheta\right) \cdot cosTheta\right)} \end{array} \end{array} \]

(FPCore (cosTheta alpha)
 :precision binary32
 (let* ((t_0 (- (* alpha alpha) 1.0)))
   (/
    t_0
    (* (* (PI) (log (* alpha alpha))) (+ 1.0 (* (* t_0 cosTheta) cosTheta))))))

\begin{array}{l}

\\
\begin{array}{l}
t_0 := \alpha \cdot \alpha - 1\\
\frac{t\_0}{\left(\mathsf{PI}\left(\right) \cdot \log \left(\alpha \cdot \alpha\right)\right) \cdot \left(1 + \left(t\_0 \cdot cosTheta\right) \cdot cosTheta\right)}
\end{array}
\end{array}

Reproduce

herbie shell --seed 2024324 
(FPCore (cosTheta alpha)
  :name "GTR1 distribution"
  :precision binary32
  :pre (and (and (<= 0.0 cosTheta) (<= cosTheta 1.0)) (and (<= 0.0001 alpha) (<= alpha 1.0)))
  (/ (- (* alpha alpha) 1.0) (* (* (PI) (log (* alpha alpha))) (+ 1.0 (* (* (- (* alpha alpha) 1.0) cosTheta) cosTheta)))))

Please file a bug report with this information.

Backtrace

dict-ref: no value for key: 'NAN in: '((cosTheta . #<representation binary32>) (alpha . #<representation binary32>))		L	C
(unnamed)	/home/nightlies/herbie/cleanup/src/core/egg-herbie.rkt	83	15
hash-ref!	/usr/share/racket/collects/racket/private/more-scheme.rkt	377	2
egraph-add-exprs	/home/nightlies/herbie/cleanup/src/core/egg-herbie.rkt	76	0
egraph-run-schedule	/home/nightlies/herbie/cleanup/src/core/egg-herbie.rkt	1164	0
run-egg	/home/nightlies/herbie/cleanup/src/core/egg-herbie.rkt	1267	0
simplify-batch	/home/nightlies/herbie/cleanup/src/core/simplify.rkt	22	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	379	33
lower-approximations	/home/nightlies/herbie/cleanup/src/core/patch.rkt	21	0
generate-candidates	/home/nightlies/herbie/cleanup/src/core/patch.rkt	169	0
run-iter!	/home/nightlies/herbie/cleanup/src/core/mainloop.rkt	68	0
run-improve!	/home/nightlies/herbie/cleanup/src/core/mainloop.rkt	45	0
get-alternatives/report	/home/nightlies/herbie/cleanup/src/api/sandbox.rkt	186	0
(unnamed)	/home/nightlies/herbie/cleanup/src/api/sandbox.rkt	282	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