Exception for UniformSampleCone 2

\[\left(\left(\left(\left(\left(-10000 \leq xi \land xi \leq 10000\right) \land \left(-10000 \leq yi \land yi \leq 10000\right)\right) \land \left(-10000 \leq zi \land zi \leq 10000\right)\right) \land \left(2.328306437 \cdot 10^{-10} \leq ux \land ux \leq 1\right)\right) \land \left(2.328306437 \cdot 10^{-10} \leq uy \land uy \leq 1\right)\right) \land \left(0 \leq maxCos \land maxCos \leq 1\right)\]

Math

\[\left(\left(\cos \left(\left(uy \cdot 2\right) \cdot \pi\right) \cdot \sqrt{1 - \left(\left(\left(1 - ux\right) \cdot maxCos\right) \cdot ux\right) \cdot \left(\left(\left(1 - ux\right) \cdot maxCos\right) \cdot ux\right)}\right) \cdot xi + \left(\sin \left(\left(uy \cdot 2\right) \cdot \pi\right) \cdot \sqrt{1 - \left(\left(\left(1 - ux\right) \cdot maxCos\right) \cdot ux\right) \cdot \left(\left(\left(1 - ux\right) \cdot maxCos\right) \cdot ux\right)}\right) \cdot yi\right) + \left(\left(\left(1 - ux\right) \cdot maxCos\right) \cdot ux\right) \cdot zi \]

FPCore

(FPCore (xi yi zi ux uy maxCos)
 :precision binary64
 (+
  (+
   (*
    (*
     (cos (* (* uy 2.0) PI))
     (sqrt
      (- 1.0 (* (* (* (- 1.0 ux) maxCos) ux) (* (* (- 1.0 ux) maxCos) ux)))))
    xi)
   (*
    (*
     (sin (* (* uy 2.0) PI))
     (sqrt
      (- 1.0 (* (* (* (- 1.0 ux) maxCos) ux) (* (* (- 1.0 ux) maxCos) ux)))))
    yi))
  (* (* (* (- 1.0 ux) maxCos) ux) zi)))

C

double code(double xi, double yi, double zi, double ux, double uy, double maxCos) {
	return (((cos(((uy * 2.0) * ((double) M_PI))) * sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * xi) + ((sin(((uy * 2.0) * ((double) M_PI))) * sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * yi)) + ((((1.0 - ux) * maxCos) * ux) * zi);
}

Java

public static double code(double xi, double yi, double zi, double ux, double uy, double maxCos) {
	return (((Math.cos(((uy * 2.0) * Math.PI)) * Math.sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * xi) + ((Math.sin(((uy * 2.0) * Math.PI)) * Math.sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * yi)) + ((((1.0 - ux) * maxCos) * ux) * zi);
}

Python

def code(xi, yi, zi, ux, uy, maxCos):
	return (((math.cos(((uy * 2.0) * math.pi)) * math.sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * xi) + ((math.sin(((uy * 2.0) * math.pi)) * math.sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * yi)) + ((((1.0 - ux) * maxCos) * ux) * zi)

Julia

function code(xi, yi, zi, ux, uy, maxCos)
	return Float64(Float64(Float64(Float64(cos(Float64(Float64(uy * 2.0) * pi)) * sqrt(Float64(1.0 - Float64(Float64(Float64(Float64(1.0 - ux) * maxCos) * ux) * Float64(Float64(Float64(1.0 - ux) * maxCos) * ux))))) * xi) + Float64(Float64(sin(Float64(Float64(uy * 2.0) * pi)) * sqrt(Float64(1.0 - Float64(Float64(Float64(Float64(1.0 - ux) * maxCos) * ux) * Float64(Float64(Float64(1.0 - ux) * maxCos) * ux))))) * yi)) + Float64(Float64(Float64(Float64(1.0 - ux) * maxCos) * ux) * zi))
end

MATLAB

function tmp = code(xi, yi, zi, ux, uy, maxCos)
	tmp = (((cos(((uy * 2.0) * pi)) * sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * xi) + ((sin(((uy * 2.0) * pi)) * sqrt((1.0 - ((((1.0 - ux) * maxCos) * ux) * (((1.0 - ux) * maxCos) * ux))))) * yi)) + ((((1.0 - ux) * maxCos) * ux) * zi);
end

Wolfram

code[xi_, yi_, zi_, ux_, uy_, maxCos_] := N[(N[(N[(N[(N[Cos[N[(N[(uy * 2.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision] * N[Sqrt[N[(1.0 - N[(N[(N[(N[(1.0 - ux), $MachinePrecision] * maxCos), $MachinePrecision] * ux), $MachinePrecision] * N[(N[(N[(1.0 - ux), $MachinePrecision] * maxCos), $MachinePrecision] * ux), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] * xi), $MachinePrecision] + N[(N[(N[Sin[N[(N[(uy * 2.0), $MachinePrecision] * Pi), $MachinePrecision]], $MachinePrecision] * N[Sqrt[N[(1.0 - N[(N[(N[(N[(1.0 - ux), $MachinePrecision] * maxCos), $MachinePrecision] * ux), $MachinePrecision] * N[(N[(N[(1.0 - ux), $MachinePrecision] * maxCos), $MachinePrecision] * ux), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]], $MachinePrecision]), $MachinePrecision] * yi), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(N[(1.0 - ux), $MachinePrecision] * maxCos), $MachinePrecision] * ux), $MachinePrecision] * zi), $MachinePrecision]), $MachinePrecision]

Reproduce

Please include this information when filing a bug report:

herbie shell --seed 2023010 
(FPCore (xi yi zi ux uy maxCos)
  :name "UniformSampleCone 2"
  :precision binary64
  :pre (and (and (and (and (and (and (<= -10000.0 xi) (<= xi 10000.0)) (and (<= -10000.0 yi) (<= yi 10000.0))) (and (<= -10000.0 zi) (<= zi 10000.0))) (and (<= 2.328306437e-10 ux) (<= ux 1.0))) (and (<= 2.328306437e-10 uy) (<= uy 1.0))) (and (<= 0.0 maxCos) (<= maxCos 1.0)))
  (+ (+ (* (* (cos (* (* uy 2.0) PI)) (sqrt (- 1.0 (* (* (* (- 1.0 ux) maxCos) ux) (* (* (- 1.0 ux) maxCos) ux))))) xi) (* (* (sin (* (* uy 2.0) PI)) (sqrt (- 1.0 (* (* (* (- 1.0 ux) maxCos) ux) (* (* (- 1.0 ux) maxCos) ux))))) yi)) (* (* (* (- 1.0 ux) maxCos) ux) zi)))

Backtrace

map: contract violation expected: list? given: #<eof>		L	C
gen-map	/usr/share/racket/collects/racket/private/map.rkt	257	2
run-egglog	/home/nightlies/herbie/oflatt-egglog-ctx/src/egglog/run-egglog.rkt	1332	0
batch-egg-rewrite	/home/nightlies/herbie/oflatt-egglog-ctx/src/core/matcher.rkt	71	0
rewrite-expressions	/home/nightlies/herbie/oflatt-egglog-ctx/src/core/matcher.rkt	89	0
gen-rewrites!	/home/nightlies/herbie/oflatt-egglog-ctx/src/patch.rkt	167	0
patch-table-run	/home/nightlies/herbie/oflatt-egglog-ctx/src/patch.rkt	318	0
(unnamed)	/usr/share/racket/collects/racket/contract/private/arrow-val-first.rkt	486	18
run-iter!	/home/nightlies/herbie/oflatt-egglog-ctx/src/mainloop.rkt	262	0
mutate!	/home/nightlies/herbie/oflatt-egglog-ctx/src/mainloop.rkt	372	0
run-improve!	/home/nightlies/herbie/oflatt-egglog-ctx/src/mainloop.rkt	320	0
(unnamed)	/home/nightlies/herbie/oflatt-egglog-ctx/src/sandbox.rkt	55	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