Exception for Area of a triangle

\[\left(\left(0 < a \land a < b + c\right) \land \left(0 < b \land b < a + c\right)\right) \land \left(0 < c \land c < a + b\right)\]

Math

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

FPCore

(FPCore (a b c)
 :precision binary64
 (sqrt
  (*
   (*
    (* (/ (+ (+ a b) c) 2.0) (- (/ (+ (+ a b) c) 2.0) a))
    (- (/ (+ (+ a b) c) 2.0) b))
   (- (/ (+ (+ a b) c) 2.0) c))))

C

double code(double a, double b, double c) {
	return sqrt(((((((a + b) + c) / 2.0) * ((((a + b) + c) / 2.0) - a)) * ((((a + b) + c) / 2.0) - b)) * ((((a + b) + c) / 2.0) - c)));
}

Fortran

real(8) function code(a, b, c)
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    code = sqrt(((((((a + b) + c) / 2.0d0) * ((((a + b) + c) / 2.0d0) - a)) * ((((a + b) + c) / 2.0d0) - b)) * ((((a + b) + c) / 2.0d0) - c)))
end function

Java

public static double code(double a, double b, double c) {
	return Math.sqrt(((((((a + b) + c) / 2.0) * ((((a + b) + c) / 2.0) - a)) * ((((a + b) + c) / 2.0) - b)) * ((((a + b) + c) / 2.0) - c)));
}

Python

def code(a, b, c):
	return math.sqrt(((((((a + b) + c) / 2.0) * ((((a + b) + c) / 2.0) - a)) * ((((a + b) + c) / 2.0) - b)) * ((((a + b) + c) / 2.0) - c)))

Julia

function code(a, b, c)
	return sqrt(Float64(Float64(Float64(Float64(Float64(Float64(a + b) + c) / 2.0) * Float64(Float64(Float64(Float64(a + b) + c) / 2.0) - a)) * Float64(Float64(Float64(Float64(a + b) + c) / 2.0) - b)) * Float64(Float64(Float64(Float64(a + b) + c) / 2.0) - c)))
end

MATLAB

function tmp = code(a, b, c)
	tmp = sqrt(((((((a + b) + c) / 2.0) * ((((a + b) + c) / 2.0) - a)) * ((((a + b) + c) / 2.0) - b)) * ((((a + b) + c) / 2.0) - c)));
end

Wolfram

code[a_, b_, c_] := N[Sqrt[N[(N[(N[(N[(N[(N[(a + b), $MachinePrecision] + c), $MachinePrecision] / 2.0), $MachinePrecision] * N[(N[(N[(N[(a + b), $MachinePrecision] + c), $MachinePrecision] / 2.0), $MachinePrecision] - a), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(a + b), $MachinePrecision] + c), $MachinePrecision] / 2.0), $MachinePrecision] - b), $MachinePrecision]), $MachinePrecision] * N[(N[(N[(N[(a + b), $MachinePrecision] + c), $MachinePrecision] / 2.0), $MachinePrecision] - c), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2023245 
(FPCore (a b c)
  :name "Area of a triangle"
  :precision binary64
  :pre (and (and (and (< 0.0 a) (< a (+ b c))) (and (< 0.0 b) (< b (+ a c)))) (and (< 0.0 c) (< 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

arb-<: arity mismatch; the expected number of arguments does not match the given number expected: 0 given: 2		L	C
f	/home/nightlies/herbie/arb-support/src/programs.rkt	187	2
(unnamed)	/home/nightlies/herbie/arb-support/src/ground-truth.rkt	23	2
search-step	/home/nightlies/herbie/arb-support/src/searchreals.rkt	37	0
find-intervals	/home/nightlies/herbie/arb-support/src/searchreals.rkt	87	0
make-sampler	/home/nightlies/herbie/arb-support/src/sampling.rkt	94	0
sample-points	/home/nightlies/herbie/arb-support/src/ground-truth.rkt	64	0
setup-context!	/home/nightlies/herbie/arb-support/src/mainloop.rkt	293	0
get-alternatives/report	/home/nightlies/herbie/arb-support/src/sandbox.rkt	148	0
(unnamed)	/home/nightlies/herbie/arb-support/src/sandbox.rkt	247	6
(unnamed)	/usr/share/racket/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/share/racket/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/usr/share/racket/collects/racket/engine.rkt	42	24