Exception for Quadratic roots, medium range

Specification

\[\left(\left(1.1102230246251565 \cdot 10^{-16} < a \land a < 9007199254740992\right) \land \left(1.1102230246251565 \cdot 10^{-16} < b \land b < 9007199254740992\right)\right) \land \left(1.1102230246251565 \cdot 10^{-16} < c \land c < 9007199254740992\right)\]

Math

\[\frac{\left(-b\right) + \sqrt{b \cdot b - \left(4 \cdot a\right) \cdot c}}{2 \cdot a} \]

FPCore

(FPCore (a b c)
  :precision binary64
  (/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a)))

C

double code(double a, double b, double c) {
	return (-b + sqrt(((b * b) - ((4.0 * a) * c)))) / (2.0 * a);
}

Fortran

module fmin_fmax_functions
    implicit none
    private
    public fmax
    public fmin

    interface fmax
        module procedure fmax88
        module procedure fmax44
        module procedure fmax84
        module procedure fmax48
    end interface
    interface fmin
        module procedure fmin88
        module procedure fmin44
        module procedure fmin84
        module procedure fmin48
    end interface
contains
    real(8) function fmax88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(4) function fmax44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, max(x, y), y /= y), x /= x)
    end function
    real(8) function fmax84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, max(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmax48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), max(dble(x), y), y /= y), x /= x)
    end function
    real(8) function fmin88(x, y) result (res)
        real(8), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(4) function fmin44(x, y) result (res)
        real(4), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(y, merge(x, min(x, y), y /= y), x /= x)
    end function
    real(8) function fmin84(x, y) result(res)
        real(8), intent (in) :: x
        real(4), intent (in) :: y
        res = merge(dble(y), merge(x, min(x, dble(y)), y /= y), x /= x)
    end function
    real(8) function fmin48(x, y) result(res)
        real(4), intent (in) :: x
        real(8), intent (in) :: y
        res = merge(y, merge(dble(x), min(dble(x), y), y /= y), x /= x)
    end function
end module

real(8) function code(a, b, c)
use fmin_fmax_functions
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    code = (-b + sqrt(((b * b) - ((4.0d0 * a) * c)))) / (2.0d0 * a)
end function

Java

public static double code(double a, double b, double c) {
	return (-b + Math.sqrt(((b * b) - ((4.0 * a) * c)))) / (2.0 * a);
}

Python

def code(a, b, c):
	return (-b + math.sqrt(((b * b) - ((4.0 * a) * c)))) / (2.0 * a)

Julia

function code(a, b, c)
	return Float64(Float64(Float64(-b) + sqrt(Float64(Float64(b * b) - Float64(Float64(4.0 * a) * c)))) / Float64(2.0 * a))
end

MATLAB

function tmp = code(a, b, c)
	tmp = (-b + sqrt(((b * b) - ((4.0 * a) * c)))) / (2.0 * a);
end

Wolfram

code[a_, b_, c_] := N[(N[((-b) + N[Sqrt[N[(N[(b * b), $MachinePrecision] - N[(N[(4.0 * a), $MachinePrecision] * c), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] / N[(2.0 * a), $MachinePrecision]), $MachinePrecision]

Reproduce

herbie shell --seed 2025255 
(FPCore (a b c)
  :name "Quadratic roots, medium range"
  :precision binary64
  :pre (and (and (and (< 1.1102230246251565e-16 a) (< a 9007199254740992.0)) (and (< 1.1102230246251565e-16 b) (< b 9007199254740992.0))) (and (< 1.1102230246251565e-16 c) (< c 9007199254740992.0)))
  (/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a)))

Please file a bug report with this information.

Backtrace

gather-multiplicative-terms: broke its own contract promised: number? produced: (cons 1 (batchref #<batch> 75)) in: the car of an element of the cdr of the range of (-> batchref? procedure? (cons/c number? (listof (cons/c number? batchref?)))) contract from: (function gather-multiplicative-terms) blaming: (function gather-multiplicative-terms) (assuming the contract is correct) at: <pkgs>/herbie/core/batch-reduce.rkt:192:20		L	C
raise-blame-error	/usr/share/racket/collects/racket/contract/private/blame.rkt	346	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/list.rkt	376	4
(unnamed)	/usr/share/racket/collects/racket/contract/private/list.rkt	215	14
(unnamed)	/usr/share/racket/collects/racket/contract/private/list.rkt	376	4
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	375	33
loop	/home/nightlies/herbie/batch-full-taylor/src/core/batch.rkt	126	4
reduce-node	/home/nightlies/herbie/batch-full-taylor/src/core/batch-reduce.rkt	145	2
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	375	33
loop	/home/nightlies/herbie/batch-full-taylor/src/core/batch.rkt	126	4
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-higher-order.rkt	375	33
loop	/home/nightlies/herbie/batch-full-taylor/src/core/batch.rkt	126	4
taylor-quotient	/home/nightlies/herbie/batch-full-taylor/src/core/taylor.rkt	335	0
loop	/home/nightlies/herbie/batch-full-taylor/src/core/batch.rkt	126	4
taylor-coefficients	/home/nightlies/herbie/batch-full-taylor/src/core/taylor.rkt	30	0
taylor-alts	/home/nightlies/herbie/batch-full-taylor/src/core/patch.rkt	33	0
run-taylor	/home/nightlies/herbie/batch-full-taylor/src/core/patch.rkt	75	0
generate-candidates	/home/nightlies/herbie/batch-full-taylor/src/core/patch.rkt	196	0
run-iteration!	/home/nightlies/herbie/batch-full-taylor/src/core/mainloop.rkt	237	0
run-improve!	/home/nightlies/herbie/batch-full-taylor/src/core/mainloop.rkt	44	0
get-alternatives	/home/nightlies/herbie/batch-full-taylor/src/api/sandbox.rkt	61	0
(unnamed)	/home/nightlies/herbie/batch-full-taylor/src/api/sandbox.rkt	181	6
(unnamed)	/usr/share/racket/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/share/racket/pkgs/profile-lib/main.rkt	9	0
in-engine	/home/nightlies/herbie/batch-full-taylor/src/api/sandbox.rkt	197	2
(unnamed)	/usr/share/racket/collects/racket/engine.rkt	42	24