\[\left(10^{-5} \leq u \land u \leq 1\right) \land \left(0 \leq v \land v \leq 109.746574\right)\]
\[1 + v \cdot \log \left(u + \left(1 - u\right) \cdot e^{\frac{-2}{v}}\right) \]
(FPCore (u v)
 :precision binary32
 (+ 1.0 (* v (log (+ u (* (- 1.0 u) (exp (/ -2.0 v))))))))
float code(float u, float v) {
	return 1.0f + (v * logf((u + ((1.0f - u) * expf((-2.0f / v))))));
}
real(4) function code(u, v)
    real(4), intent (in) :: u
    real(4), intent (in) :: v
    code = 1.0e0 + (v * log((u + ((1.0e0 - u) * exp(((-2.0e0) / v))))))
end function
function code(u, v)
	return Float32(Float32(1.0) + Float32(v * log(Float32(u + Float32(Float32(Float32(1.0) - u) * exp(Float32(Float32(-2.0) / v)))))))
end
function tmp = code(u, v)
	tmp = single(1.0) + (v * log((u + ((single(1.0) - u) * exp((single(-2.0) / v))))));
end
1 + v \cdot \log \left(u + \left(1 - u\right) \cdot e^{\frac{-2}{v}}\right)

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2022204 
(FPCore (u v)
  :name "HairBSDF, sample_f, cosTheta"
  :precision binary32
  :pre (and (and (<= 1e-5 u) (<= u 1.0)) (and (<= 0.0 v) (<= v 109.746574)))
  (+ 1.0 (* v (log (+ u (* (- 1.0 u) (exp (/ -2.0 v))))))))

Backtrace

nan?: contract violation expected: real? given: 0.5000000000000001+0.8660254037844386iLC
simplify-node*/data/pavpan/nightlies/herbie/fix-inf-exact/src/core/reduce.rkt610
hash-ref!/usr/share/racket/collects/racket/private/more-scheme.rkt3772
hash-ref!/usr/share/racket/collects/racket/private/more-scheme.rkt3772
loop.../private/map.rkt4019
f28.../match/compiler.rkt54840
hash-ref!/usr/share/racket/collects/racket/private/more-scheme.rkt3772
approximate/data/pavpan/nightlies/herbie/fix-inf-exact/src/core/taylor.rkt70
taylor-expr/data/pavpan/nightlies/herbie/fix-inf-exact/src/patch.rkt780
taylor-alt/data/pavpan/nightlies/herbie/fix-inf-exact/src/patch.rkt850
gen-series!/data/pavpan/nightlies/herbie/fix-inf-exact/src/patch.rkt1010
patch-table-run/data/pavpan/nightlies/herbie/fix-inf-exact/src/patch.rkt3100
(unnamed)/usr/share/racket/collects/racket/contract/private/arrow-val-first.rkt48618
run-iter!/data/pavpan/nightlies/herbie/fix-inf-exact/src/mainloop.rkt2420
mutate!/data/pavpan/nightlies/herbie/fix-inf-exact/src/mainloop.rkt3480
run-improve!/data/pavpan/nightlies/herbie/fix-inf-exact/src/mainloop.rkt2960
(unnamed)/data/pavpan/nightlies/herbie/fix-inf-exact/src/sandbox.rkt556
(unnamed)/usr/share/racket/pkgs/profile-lib/main.rkt4010
profile-thunk/usr/share/racket/pkgs/profile-lib/main.rkt90
(unnamed)/usr/share/racket/collects/racket/engine.rkt4224