\[wj - \frac{wj \cdot e^{wj} - x}{e^{wj} + wj \cdot e^{wj}}\]
wj - \frac{wj \cdot e^{wj} - x}{e^{wj} + wj \cdot e^{wj}}
double code(double wj, double x) {
	return ((double) (wj - ((double) (((double) (((double) (wj * ((double) exp(wj)))) - x)) / ((double) (((double) exp(wj)) + ((double) (wj * ((double) exp(wj))))))))));
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2020169 
(FPCore (wj x)
  :name "Jmat.Real.lambertw, newton loop step"
  :precision binary64

  :herbie-target
  (- wj (- (/ wj (+ wj 1.0)) (/ x (+ (exp wj) (* wj (exp wj))))))

  (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))

Backtrace

match-define: no matching clause for '(== branch457 -1.7792498876631063e-12)LC
match:error/opt/racket-7.5/collects/racket/match/runtime.rkt240
program-body/data/pavpan/nightlies/herbie/ival-find-range/src/programs.rkt250
(unnamed)/opt/racket-7.5/collects/racket/contract/private/arrow-higher-order.rkt37933
prepare-points/data/pavpan/nightlies/herbie/ival-find-range/src/points.rkt1300
pred/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt2044
.../more-scheme.rkt:261:28unknown
for-loop/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt2403
sindices->spoints/data/pavpan/nightlies/herbie/ival-find-range/src/core/regimes.rkt1940
f37unknown
get-final-combination/data/pavpan/nightlies/herbie/ival-find-range/src/mainloop.rkt3890
.../more-scheme.rkt:261:28unknown
run/opt/racket-7.5/share/pkgs/profile-lib/main.rkt392
profile-thunk16/opt/racket-7.5/share/pkgs/profile-lib/main.rkt90
(unnamed)/opt/racket-7.5/collects/racket/private/more-scheme.rkt26128

Reproduce

herbie shell --seed 2020169 
(FPCore (wj x)
  :name "Jmat.Real.lambertw, newton loop step"
  :precision binary64

  :herbie-target
  (- wj (- (/ wj (+ wj 1.0)) (/ x (+ (exp wj) (* wj (exp wj))))))

  (- wj (/ (- (* wj (exp wj)) x) (+ (exp wj) (* wj (exp wj))))))