Exception for Trowbridge-Reitz Sample, sample surface normal, cosTheta

Specification

\[\left(\left(\left(2.328306437 \cdot 10^{-10} \leq u0 \land u0 \leq 1\right) \land \left(2.328306437 \cdot 10^{-10} \leq u1 \land u1 \leq 0.5\right)\right) \land \left(0.0001 \leq alphax \land alphax \leq 1\right)\right) \land \left(0.0001 \leq alphay \land alphay \leq 1\right)\]

\[\begin{array}{l} \\ \begin{array}{l} t_0 := \tan^{-1} \left(\frac{alphay}{alphax} \cdot \tan \left(\left(2 \cdot \mathsf{PI}\left(\right)\right) \cdot u1 + 0.5 \cdot \mathsf{PI}\left(\right)\right)\right)\\ t_1 := \sin t\_0\\ t_2 := \cos t\_0\\ \frac{1}{\sqrt{1 + \frac{\frac{1}{\frac{t\_2 \cdot t\_2}{alphax \cdot alphax} + \frac{t\_1 \cdot t\_1}{alphay \cdot alphay}} \cdot u0}{1 - u0}}} \end{array} \end{array} \]

(FPCore (u0 u1 alphax alphay)
 :precision binary32
 (let* ((t_0
         (atan
          (* (/ alphay alphax) (tan (+ (* (* 2.0 (PI)) u1) (* 0.5 (PI)))))))
        (t_1 (sin t_0))
        (t_2 (cos t_0)))
   (/
    1.0
    (sqrt
     (+
      1.0
      (/
       (*
        (/
         1.0
         (+
          (/ (* t_2 t_2) (* alphax alphax))
          (/ (* t_1 t_1) (* alphay alphay))))
        u0)
       (- 1.0 u0)))))))

\begin{array}{l}

\\
\begin{array}{l}
t_0 := \tan^{-1} \left(\frac{alphay}{alphax} \cdot \tan \left(\left(2 \cdot \mathsf{PI}\left(\right)\right) \cdot u1 + 0.5 \cdot \mathsf{PI}\left(\right)\right)\right)\\
t_1 := \sin t\_0\\
t_2 := \cos t\_0\\
\frac{1}{\sqrt{1 + \frac{\frac{1}{\frac{t\_2 \cdot t\_2}{alphax \cdot alphax} + \frac{t\_1 \cdot t\_1}{alphay \cdot alphay}} \cdot u0}{1 - u0}}}
\end{array}
\end{array}

Reproduce

herbie shell --seed 2025019 
(FPCore (u0 u1 alphax alphay)
  :name "Trowbridge-Reitz Sample, sample surface normal, cosTheta"
  :precision binary32
  :pre (and (and (and (and (<= 2.328306437e-10 u0) (<= u0 1.0)) (and (<= 2.328306437e-10 u1) (<= u1 0.5))) (and (<= 0.0001 alphax) (<= alphax 1.0))) (and (<= 0.0001 alphay) (<= alphay 1.0)))
  (/ 1.0 (sqrt (+ 1.0 (/ (* (/ 1.0 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2.0 (PI)) u1) (* 0.5 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2.0 (PI)) u1) (* 0.5 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2.0 (PI)) u1) (* 0.5 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2.0 (PI)) u1) (* 0.5 (PI)))))))) (* alphay alphay)))) u0) (- 1.0 u0))))))

Please file a bug report with this information.

Backtrace

run-egg: unknown command `(proofs (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (.f32 (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphax alphax)) (/.f32 (.f32 (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (.f32 (.f32 #s(literal 2 binary32) (PI.f32)) u1) (.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) pow.f32 (-.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1 binary32)) #s(literal -1/2 binary32))`		L	C
add-derivations-to	/home/nightlies/herbie/unbatch-derivations/src/core/derivations.rkt	20	0
loop	.../private/map.rkt	40	19
alt-map	/home/nightlies/herbie/unbatch-derivations/src/utils/alternative.rkt	44	0
loop	.../private/map.rkt	40	19
alt-map	/home/nightlies/herbie/unbatch-derivations/src/utils/alternative.rkt	44	0
add-derivations	/home/nightlies/herbie/unbatch-derivations/src/core/derivations.rkt	33	0
extract!	/home/nightlies/herbie/unbatch-derivations/src/core/mainloop.rkt	79	0
run-improve!	/home/nightlies/herbie/unbatch-derivations/src/core/mainloop.rkt	45	0
get-alternatives/report	/home/nightlies/herbie/unbatch-derivations/src/api/sandbox.rkt	174	0
(unnamed)	/home/nightlies/herbie/unbatch-derivations/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/unbatch-derivations/src/api/sandbox.rkt	283	2
(unnamed)	/usr/share/racket/collects/racket/engine.rkt	42	24