\[1.053671212772350866701172186984739043147 \cdot 10^{-8} \lt a \lt 94906265.62425155937671661376953125 \land 1.053671212772350866701172186984739043147 \cdot 10^{-8} \lt b \lt 94906265.62425155937671661376953125 \land 1.053671212772350866701172186984739043147 \cdot 10^{-8} \lt c \lt 94906265.62425155937671661376953125\]

\[\frac{\left(-b\right) + \sqrt{b \cdot b - \left(3 \cdot a\right) \cdot c}}{3 \cdot a}\]

\frac{\left(-b\right) + \sqrt{b \cdot b - \left(3 \cdot a\right) \cdot c}}{3 \cdot a}

double f(double a, double b, double c) {
        double r9704 = b;
        double r9705 = -r9704;
        double r9706 = r9704 * r9704;
        double r9707 = 3.0;
        double r9708 = a;
        double r9709 = r9707 * r9708;
        double r9710 = c;
        double r9711 = r9709 * r9710;
        double r9712 = r9706 - r9711;
        double r9713 = sqrt(r9712);
        double r9714 = r9705 + r9713;
        double r9715 = r9714 / r9709;
        return r9715;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019315 
(FPCore (a b c)
  :name "Cubic critical, narrow range"
  :precision binary64
  :pre (and (< 1.05367121277235087e-8 a 94906265.6242515594) (< 1.05367121277235087e-8 b 94906265.6242515594) (< 1.05367121277235087e-8 c 94906265.6242515594))
  (/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)))

Backtrace

match: no matching clause for 'binary64		L	C
match:error	/opt/racket-7.2/collects/racket/match/runtime.rkt	24	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	246	3
make-multiplication-subnode	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	244	0
make-multiplication-node	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	234	0
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
map	/opt/racket-7.2/collects/racket/private/map.rkt	35	13
f45	/opt/racket-7.2/collects/racket/match/compiler.rkt	507	40
simplify	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/reduce.rkt	16	0
approximate9	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	12	0
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
location-do	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/programs.rkt	64	0
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	151	6
taylor-alt	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	145	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	166	7
gen-series!	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	159	0
run-iter!	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	326	0
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	364	4
run-improve47	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/mainloop.rkt	345	0
(unnamed)	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	261	28
run	/opt/racket-7.2/share/pkgs/profile-lib/main.rkt	39	2
profile-thunk16	/opt/racket-7.2/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	261	28