\[1 \le y \le 9999\]
\[\begin{array}{l} \mathbf{if}\;\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) = 0.0:\\ \;\;\;\;1\\ \mathbf{else}:\\ \;\;\;\;\frac{e^{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right)} - 1}{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right)}\\ \end{array}\]
\begin{array}{l}
\mathbf{if}\;\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) = 0.0:\\
\;\;\;\;1\\

\mathbf{else}:\\
\;\;\;\;\frac{e^{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right)} - 1}{\left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right) \cdot \left(\left|y - \sqrt{y \cdot y + 1}\right| - \frac{1}{y + \sqrt{y \cdot y + 1}}\right)}\\

\end{array}
double code(double y) {
	double VAR;
	if ((((double) (((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))))) * ((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))))))) == 0.0)) {
		VAR = 1.0;
	} else {
		VAR = ((double) (((double) (((double) exp(((double) (((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))))) * ((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))))))))) - 1.0)) / ((double) (((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))))) * ((double) (((double) fabs(((double) (y - ((double) sqrt(((double) (((double) (y * y)) + 1.0)))))))) - ((double) (1.0 / ((double) (y + ((double) sqrt(((double) (((double) (y * y)) + 1.0))))))))))))));
	}
	return VAR;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2020165 
(FPCore (y)
  :name "Kahan's Monster"
  :precision binary64
  :pre (<= 1.0 y 9999.0)
  (if (== (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0)))))) 0.0) 1.0 (/ (- (exp (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))))) 1.0) (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0)))))))))

Backtrace

ival-hi: contract violation expected: ival? given: #<procedure:interval>LC
for-loop/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt3711
hyperrect-weight/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt360
total-weight/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt1132
log-space-improvement/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt1100
(unnamed)/opt/racket-7.5/collects/racket/contract/private/arrow-higher-order.rkt37533
get-hyperrects/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt1230
make-sampler/data/pavpan/nightlies/herbie/ival-find-range/src/sampling.rkt1470
prepare-points-intervals/data/pavpan/nightlies/herbie/ival-find-range/src/points.rkt900
run-improve47/data/pavpan/nightlies/herbie/ival-find-range/src/mainloop.rkt3650
.../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 2020165 
(FPCore (y)
  :name "Kahan's Monster"
  :precision binary64
  :pre (<= 1.0 y 9999.0)
  (if (== (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0)))))) 0.0) 1.0 (/ (- (exp (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))))) 1.0) (* (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0))))) (- (fabs (- y (sqrt (+ (* y y) 1.0)))) (/ 1.0 (+ y (sqrt (+ (* y y) 1.0)))))))))