\[-1 \lt \varepsilon \land \varepsilon \lt 1\]

\[\frac{\varepsilon \cdot \left(e^{\left(a + b\right) \cdot \varepsilon} - 1\right)}{\left(e^{a \cdot \varepsilon} - 1\right) \cdot \left(e^{b \cdot \varepsilon} - 1\right)}\]

\frac{\varepsilon \cdot \left(e^{\left(a + b\right) \cdot \varepsilon} - 1\right)}{\left(e^{a \cdot \varepsilon} - 1\right) \cdot \left(e^{b \cdot \varepsilon} - 1\right)}

double f(double a, double b, double eps) {
        double r10039 = eps;
        double r10040 = a;
        double r10041 = b;
        double r10042 = r10040 + r10041;
        double r10043 = r10042 * r10039;
        double r10044 = exp(r10043);
        double r10045 = 1.0;
        double r10046 = r10044 - r10045;
        double r10047 = r10039 * r10046;
        double r10048 = r10040 * r10039;
        double r10049 = exp(r10048);
        double r10050 = r10049 - r10045;
        double r10051 = r10041 * r10039;
        double r10052 = exp(r10051);
        double r10053 = r10052 - r10045;
        double r10054 = r10050 * r10053;
        double r10055 = r10047 / r10054;
        return r10055;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019315 +o rules:numerics
(FPCore (a b eps)
  :name "expq3 (problem 3.4.2)"
  :precision binary64
  :pre (and (< -1 eps) (< eps 1))

  :herbie-target
  (/ (+ a b) (* a b))

  (/ (* eps (- (exp (* (+ a b) eps)) 1)) (* (- (exp (* a eps)) 1) (- (exp (* b eps)) 1))))

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
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
for-loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	291	52
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	291	26
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	45	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/opt/racket-7.2/collects/racket/contract/private/arrow-higher-order.rkt	360	33
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	68	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
(unnamed)	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	68	15
hash-ref!	/opt/racket-7.2/collects/racket/private/more-scheme.rkt	376	2
loop	/data/pavpan/nightlies/herbie/fix-interface-bugs/src/core/taylor.rkt	87	4
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

could not determine a ground truth for program body (more)

Reproduce

Backtrace