GTR1 distribution

Specification

?
\[\left(0 \leq cosTheta \land cosTheta \leq 1\right) \land \left(0.0001 \leq \alpha \land \alpha \leq 1\right)\]
\[\begin{array}{l} \\ \begin{array}{l} t_0 := \alpha \cdot \alpha - 1\\ \frac{t\_0}{\left(\pi \cdot \log \left(\alpha \cdot \alpha\right)\right) \cdot \left(1 + \left(t\_0 \cdot cosTheta\right) \cdot cosTheta\right)} \end{array} \end{array} \]
(FPCore (cosTheta alpha)
 :precision binary32
 (let* ((t_0 (- (* alpha alpha) 1.0)))
   (/
    t_0
    (* (* PI (log (* alpha alpha))) (+ 1.0 (* (* t_0 cosTheta) cosTheta))))))
float code(float cosTheta, float alpha) {
	float t_0 = (alpha * alpha) - 1.0f;
	return t_0 / ((((float) M_PI) * logf((alpha * alpha))) * (1.0f + ((t_0 * cosTheta) * cosTheta)));
}
function code(cosTheta, alpha)
	t_0 = Float32(Float32(alpha * alpha) - Float32(1.0))
	return Float32(t_0 / Float32(Float32(Float32(pi) * log(Float32(alpha * alpha))) * Float32(Float32(1.0) + Float32(Float32(t_0 * cosTheta) * cosTheta))))
end
function tmp = code(cosTheta, alpha)
	t_0 = (alpha * alpha) - single(1.0);
	tmp = t_0 / ((single(pi) * log((alpha * alpha))) * (single(1.0) + ((t_0 * cosTheta) * cosTheta)));
end
\begin{array}{l}

\\
\begin{array}{l}
t_0 := \alpha \cdot \alpha - 1\\
\frac{t\_0}{\left(\pi \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

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herbie shell --seed 2024039 
(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

member: not a proper list in: 1LC
gather-multiplicative-terms/home/nightlies/herbie/sound-rules/src/core/reduce.rkt1250
simplify-node*/home/nightlies/herbie/sound-rules/src/core/reduce.rkt840
hash-ref!/usr/local/racket/collects/racket/private/more-scheme.rkt3772
hash-ref!/usr/local/racket/collects/racket/private/more-scheme.rkt3772
loop.../private/map.rkt4019
f19.../match/compiler.rkt55940
hash-ref!/usr/local/racket/collects/racket/private/more-scheme.rkt3772
loop.../private/map.rkt4019
f13.../match/compiler.rkt55940
hash-ref!/usr/local/racket/collects/racket/private/more-scheme.rkt3772
loop.../private/map.rkt4019
loop.../private/map.rkt4019
f19.../match/compiler.rkt55940
hash-ref!/usr/local/racket/collects/racket/private/more-scheme.rkt3772
approximate/home/nightlies/herbie/sound-rules/src/core/taylor.rkt70
taylor-expr/home/nightlies/herbie/sound-rules/src/patch.rkt890
taylor-alt/home/nightlies/herbie/sound-rules/src/patch.rkt960
gen-series!/home/nightlies/herbie/sound-rules/src/patch.rkt1090
patch-table-run/home/nightlies/herbie/sound-rules/src/patch.rkt2570
(unnamed)/usr/local/racket/collects/racket/contract/private/arrow-val-first.rkt48618
run-iter!/home/nightlies/herbie/sound-rules/src/mainloop.rkt2880
mutate!/home/nightlies/herbie/sound-rules/src/mainloop.rkt3400
run-improve!/home/nightlies/herbie/sound-rules/src/mainloop.rkt3260
get-alternatives/report/home/nightlies/herbie/sound-rules/src/sandbox.rkt1690
(unnamed)/home/nightlies/herbie/sound-rules/src/sandbox.rkt2626
(unnamed)/usr/local/racket/share/pkgs/profile-lib/main.rkt4010
profile-thunk/usr/local/racket/share/pkgs/profile-lib/main.rkt90
(unnamed)/usr/local/racket/collects/racket/engine.rkt4224