\[0.0 \lt a \lt b + c \land 0.0 \lt b \lt a + c \land 0.0 \lt c \lt a + b\]

\[\sqrt{\left(\left(\frac{\left(a + b\right) + c}{2} \cdot \left(\frac{\left(a + b\right) + c}{2} - a\right)\right) \cdot \left(\frac{\left(a + b\right) + c}{2} - b\right)\right) \cdot \left(\frac{\left(a + b\right) + c}{2} - c\right)}\]

\sqrt{\left(\left(\frac{\left(a + b\right) + c}{2} \cdot \left(\frac{\left(a + b\right) + c}{2} - a\right)\right) \cdot \left(\frac{\left(a + b\right) + c}{2} - b\right)\right) \cdot \left(\frac{\left(a + b\right) + c}{2} - c\right)}

double f(double a, double b, double c) {
        double r8288 = a;
        double r8289 = b;
        double r8290 = r8288 + r8289;
        double r8291 = c;
        double r8292 = r8290 + r8291;
        double r8293 = 2.0;
        double r8294 = r8292 / r8293;
        double r8295 = r8294 - r8288;
        double r8296 = r8294 * r8295;
        double r8297 = r8294 - r8289;
        double r8298 = r8296 * r8297;
        double r8299 = r8294 - r8291;
        double r8300 = r8298 * r8299;
        double r8301 = sqrt(r8300);
        return r8301;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019191 
(FPCore (a b c)
  :name "Area of a triangle"
  :pre (and (< 0.0 a (+ b c)) (< 0.0 b (+ a c)) (< 0.0 c (+ a b)))

  :herbie-target
  (/ (sqrt (* (* (* (+ a (+ b c)) (- c (- a b))) (+ c (- a b))) (+ a (- b c)))) 4.0)

  (sqrt (* (* (* (/ (+ (+ a b) c) 2.0) (- (/ (+ (+ a b) c) 2.0) a)) (- (/ (+ (+ a b) c) 2.0) b)) (- (/ (+ (+ a b) c) 2.0) c))))

Backtrace

get-representation: Unknown representation #f		L	C
loop	/data/pavpan/nightlies/herbie/interface2/src/points.rkt	122	4
prepare-points	/data/pavpan/nightlies/herbie/interface2/src/points.rkt	146	0
setup-prog!34	/data/pavpan/nightlies/herbie/interface2/src/mainloop.rkt	67	0
run-improve43	/data/pavpan/nightlies/herbie/interface2/src/mainloop.rkt	339	0
(unnamed)	/opt/racket-7.0/collects/racket/private/more-scheme.rkt	261	28
run	/opt/racket-7.0/share/pkgs/profile-lib/main.rkt	39	2
profile-thunk16	/opt/racket-7.0/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/opt/racket-7.0/collects/racket/private/more-scheme.rkt	261	28