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

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

\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 r8776 = a;
        double r8777 = b;
        double r8778 = r8776 + r8777;
        double r8779 = c;
        double r8780 = r8778 + r8779;
        double r8781 = 2.0;
        double r8782 = r8780 / r8781;
        double r8783 = r8782 - r8776;
        double r8784 = r8782 * r8783;
        double r8785 = r8782 - r8777;
        double r8786 = r8784 * r8785;
        double r8787 = r8782 - r8779;
        double r8788 = r8786 * r8787;
        double r8789 = sqrt(r8788);
        return r8789;
}

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2019191 +o rules:numerics
(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