Exception for math.sqrt on complex, real part

• could not determine a ground truth

  1. re = -5.31755279487729e+159
  2. im = 1.2953730680706647e-226

Specification

Math

\[\begin{array}{l} \\ 0.5 \cdot \sqrt{2 \cdot \left(\sqrt{re \cdot re + im \cdot im} + re\right)} \end{array} \]

FPCore

(FPCore (re im)
 :precision binary64
 (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))

C

double code(double re, double im) {
	return 0.5 * sqrt((2.0 * (sqrt(((re * re) + (im * im))) + re)));
}

Fortran

real(8) function code(re, im)
    real(8), intent (in) :: re
    real(8), intent (in) :: im
    code = 0.5d0 * sqrt((2.0d0 * (sqrt(((re * re) + (im * im))) + re)))
end function

Java

public static double code(double re, double im) {
	return 0.5 * Math.sqrt((2.0 * (Math.sqrt(((re * re) + (im * im))) + re)));
}

Python

def code(re, im):
	return 0.5 * math.sqrt((2.0 * (math.sqrt(((re * re) + (im * im))) + re)))

Julia

function code(re, im)
	return Float64(0.5 * sqrt(Float64(2.0 * Float64(sqrt(Float64(Float64(re * re) + Float64(im * im))) + re))))
end

MATLAB

function tmp = code(re, im)
	tmp = 0.5 * sqrt((2.0 * (sqrt(((re * re) + (im * im))) + re)));
end

Wolfram

code[re_, im_] := N[(0.5 * N[Sqrt[N[(2.0 * N[(N[Sqrt[N[(N[(re * re), $MachinePrecision] + N[(im * im), $MachinePrecision]), $MachinePrecision]], $MachinePrecision] + re), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision]

Reproduce

herbie shell --seed 2024159 -o setup:simplify
(FPCore (re im)
  :name "math.sqrt on complex, real part"
  :precision binary64

  :alt
  (! :herbie-platform default (if (< re 0) (* 1/2 (* (sqrt 2) (sqrt (/ (* im im) (- (modulus re im) re))))) (* 1/2 (sqrt (* 2 (+ (modulus re im) re))))))

  (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))))

Please file a bug report with this information.

Backtrace

operator-info: Unknown operator modulus		L	C
(unnamed)	/home/nightlies/herbie/artem-baseline-vs-tuning-with-precondition/src/syntax/syntax.rkt	294	2
f432	.../match/compiler.rkt	559	40
f432	.../match/compiler.rkt	559	40
f432	.../match/compiler.rkt	559	40
f432	.../match/compiler.rkt	559	40
f432	.../match/compiler.rkt	559	40
f432	.../match/compiler.rkt	559	40
loop	/home/nightlies/herbie/artem-baseline-vs-tuning-with-precondition/src/syntax/sugar.rkt	162	4
fpcore->prog	/home/nightlies/herbie/artem-baseline-vs-tuning-with-precondition/src/syntax/sugar.rkt	160	0
get-alternatives/report	/home/nightlies/herbie/artem-baseline-vs-tuning-with-precondition/src/sandbox.rkt	171	0
(unnamed)	/home/nightlies/herbie/artem-baseline-vs-tuning-with-precondition/src/sandbox.rkt	265	6
(unnamed)	/usr/local/racket/share/pkgs/profile-lib/main.rkt	40	10
profile-thunk	/usr/local/racket/share/pkgs/profile-lib/main.rkt	9	0
(unnamed)	/usr/local/racket/collects/racket/engine.rkt	42	24