Metrics for UniformSampleCone, y

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze197.0ms (1.7%)

Memory

20.0MiB live, 255.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
0%	0%	0.1%	99.9%	0%	0%	0%	3
12.5%	0%	0.1%	99.9%	0%	0%	0%	4
18.7%	0%	0.1%	99.9%	0%	0%	0%	5
28.1%	0%	0.1%	99.9%	0%	0%	0%	6
42.2%	0%	0.1%	99.9%	0%	0%	0%	7
49.2%	0%	0%	99.9%	0%	0%	0%	8
57.4%	0.1%	0%	99.9%	0%	0%	0%	9
67%	0.1%	0%	99.9%	0%	0%	0%	10
71.8%	0.1%	0%	99.9%	0%	0%	0%	11
76.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 49 to 28 computations (42.9% saved)

sample2.1s (17.6%)

Memory

74.6MiB live, 2 145.6MiB allocated

Samples

1.3s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

ival-mult: 312.0ms (30.7% of total)

ival-sinu: 165.0ms (16.2% of total)

ival-<=: 157.0ms (15.5% of total)

const: 153.0ms (15.1% of total)

ival-sub: 80.0ms (7.9% of total)

ival-sqrt: 60.0ms (5.9% of total)

ival-add: 42.0ms (4.1% of total)

ival-and: 32.0ms (3.2% of total)

exact: 11.0ms (1.1% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain218.0ms (1.8%)

Memory

17.6MiB live, 305.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
188	8	(0.0023634920362383127 3.2712091524444986e-6 2.321555491249794e-13)	4	(0.0053104679100215435 5.18264187121531e-9 2.4530671390761287e-26)	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
1	0	-	1	(6.407742034753028e-7 0.9974467158317566 0.02806348353624344)	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
0	0	-	0	-	`#s(literal 2 binary32)`
0	0	-	0	-	`(PI.f32)`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
0	0	-	0	-	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
0	0	-	0	-	`maxCos`
0	0	-	0	-	`(*.f32 ux maxCos)`
0	0	-	0	-	`ux`
0	0	-	0	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
0	0	-	0	-	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
0	0	-	0	-	`uy`
0	0	-	0	-	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
0	0	-	0	-	`(*.f32 uy #s(literal 2 binary32))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) ux)`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f32`	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`	cancellation	192	10

Confusion

	Predicted +	Predicted -
+	185	3
-	7	61

Precision

0.9635416666666666

Recall

0.9840425531914894

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	185	3	0
-	7	7	54

Precision?

0.9306930693069307

Recall?

1.0

Freqs

test

number	freq
0	64
1	192

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

60.0ms	506×	0	valid
1.0ms	6×	1	valid

Compiler

Compiled 353 to 68 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 15.0ms (36.8% of total)

ival-sinu: 8.0ms (19.6% of total)

ival-sub: 7.0ms (17.2% of total)

ival-sqrt: 4.0ms (9.8% of total)

ival-add: 3.0ms (7.4% of total)

ival-pi: 2.0ms (4.9% of total)

exact: 1.0ms (2.5% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

preprocess300.0ms (2.5%)

Memory

12.1MiB live, 242.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	242
1	211	228
2	725	226
3	3293	225
4	7200	225
0	16	25
0	27	25
1	51	25
2	132	25
3	537	25
4	2906	23
5	7334	23
0	8216	21

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Outputs
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))

Symmetry

(negabs uy)

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	56.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Status

Accuracy

Program

▶

56.4%

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))

Compiler

Compiled 25 to 16 computations (36% saved)

simplify247.0ms (2.1%)

Memory

-23.4MiB live, 205.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	96	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	108
0	27	108
1	51	108
2	132	108
3	537	108
4	2906	102
5	7334	102
0	8216	93

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos

Outputs
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 maxCos ux)
maxCos

localize97.0ms (0.8%)

Memory

15.1MiB live, 132.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.36556625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
accuracy	0.37109375	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))

Samples

84.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 218 to 34 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42.1% of total)

ival-sinu: 4.0ms (21% of total)

ival-sub: 2.0ms (10.5% of total)

ival-sqrt: 2.0ms (10.5% of total)

ival-pi: 1.0ms (5.3% of total)

ival-add: 1.0ms (5.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series34.0ms (0.3%)

Memory

-15.9MiB live, 66.5MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	maxCos	@	-inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
3.0ms	ux	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	maxCos	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	uy	@	0	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))
2.0ms	maxCos	@	inf	((- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)))

simplify247.0ms (2.1%)

Memory

21.7MiB live, 212.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	2987
1	1369	2839
2	5249	2658
0	8234	2533

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))

Outputs
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (.f32 #s(literal -2 binary32) (.f32 maxCos ux)) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(-.f32 (fma.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 ux) maxCos))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (.f32 ux (fma.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 ux) maxCos))) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) maxCos) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (.f32 ux (fma.f32 ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 #s(literal 2 binary32) (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 ux (fma.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux) (.f32 maxCos ux))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 ux (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32)) ux)) (.f32 maxCos maxCos))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (.f32 ux ux))) (*.f32 maxCos maxCos)))
(+.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (.f32 ux ux))) (*.f32 maxCos maxCos)))
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(.f32 (-.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (.f32 maxCos maxCos)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 ux ux)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (.f32 maxCos maxCos))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32)))))) maxCos)
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 #s(literal 2 binary32) ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 ux (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32)) ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(.f32 (.f32 (neg.f32 ux) maxCos) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos)) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (.f32 ux ux))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) maxCos))) (neg.f32 maxCos))))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (.f32 #s(literal -2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) maxCos)) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)))) (.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32))))))
(.f32 (fma.f32 (pow.f32 uy #s(literal 4 binary32)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))) uy)
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32)) uy) uy (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(fma.f32 (pow.f32 uy #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -8/315 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 4/15 binary32))) (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32))) (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
(.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux)
#s(literal 1 binary32)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sqrt.f32 (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (.f32 (sqrt.f32 (/.f32 ux (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 ux ux) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (pow.f32 ux #s(literal 4 binary32)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 5 binary32)))) #s(literal -1/16 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 6 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)))) #s(literal -1/8 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 4 binary32))))) (fma.f32 (.f32 (.f32 ux ux) (.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))) ux)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
#s(literal 1 binary32)
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(fma.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32))) ux #s(literal 1 binary32))
(.f32 (neg.f32 ux) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) ux)
(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (.f32 ux ux)) #s(literal -1/8 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)))) ux)
(.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) #s(literal 1/16 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) (.f32 ux ux)) #s(literal -1/8 binary32) (.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) ux)
(.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(.f32 (+.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 (/.f32 #s(literal 2 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))) (*.f32 ux ux))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) (neg.f32 ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))))))
(fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) ux) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (.f32 (/.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)))) ux) ux (.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 ux) (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) #s(literal 1/16 binary32) (.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32)) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/8 binary32)))) ux)) (neg.f32 ux))))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))

rewrite225.0ms (1.9%)

Memory

11.2MiB live, 241.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	75
0	27	57
1	103	57
2	843	57
0	9218	53

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

6 → 638

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Outputs
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eval226.0ms (1.9%)

Memory: 22.4MiB live, 334.2MiB allocated
Compiler: Compiled 43 285 to 4 242 computations (90.2% saved)

prune86.0ms (0.7%)

Memory

-12.9MiB live, 146.8MiB allocated

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	876	27	903
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	877	27	904

Accuracy

98.0%

Counts

904 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.6%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
	24.2%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
	56.5%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	56.3%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
▶	56.4%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	16.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 maxCos) (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
	26.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
	26.9%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	35.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	19.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	19.3%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))))
▶	19.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
	19.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	19.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	56.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	55.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	57.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	56.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos))))))
	7.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))))))
	7.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
	49.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
	1.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
	32.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	20.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
▶	28.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
▶	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	50.0%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))

Compiler

Compiled 1 918 to 1 172 computations (38.9% saved)

simplify179.0ms (1.5%)

Memory

-3.4MiB live, 216.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
cost-diff	64	(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
cost-diff	2944	(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	96	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff	800	(.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
cost-diff	96	(-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))
cost-diff	352	(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	96	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff	416	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	871
0	114	810
1	216	800
2	505	783
3	1902	771
4	6354	771
0	8230	741

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))))
(-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))
#s(literal 1 binary32)
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))
(+.f32 #s(literal -1 binary32) maxCos)
#s(literal -1 binary32)
(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(sin.f32 (.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))))
(.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
uy
(*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
(-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux))
(/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
maxCos
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)

Outputs
(.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 maxCos ux #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 maxCos ux)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 maxCos ux)
maxCos
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
maxCos
ux
(-.f32 #s(literal 1 binary32) ux)
(.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(-.f32 maxCos #s(literal 1 binary32))
#s(literal -1 binary32)
(.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy)
uy
(*.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(sqrt.f32 (PI.f32))
(PI.f32)
(sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (fma.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux ux))
#s(literal 1 binary32)
(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 maxCos ux)
maxCos
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (.f32 ux ux))))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux)))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux))))
(.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux)))
(-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos) (*.f32 ux ux))
(/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)
(fma.f32 (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (-.f32 ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
#s(literal 1 binary32)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
maxCos
(*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)

localize183.0ms (1.6%)

Memory

15.5MiB live, 362.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.37109375	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.3984375	(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
accuracy	13.59188883607577	(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
accuracy	14.948199501824394	(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
accuracy	0.37109375	(.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
accuracy	0.387382519536884	(.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.3623237793053261	(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
accuracy	0.36556625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
accuracy	0.37109375	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))
accuracy	0.37109375	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
accuracy	5.421330708779718	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
accuracy	0.36556625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
accuracy	0.37109375	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))

Samples

124.0ms	250×	0	valid
4.0ms	6×	1	valid

Compiler

Compiled 1 608 to 119 computations (92.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 46.0ms (47.9% of total)

ival-sub: 11.0ms (11.5% of total)

ival-add: 10.0ms (10.4% of total)

ival-pow2: 9.0ms (9.4% of total)

ival-div: 5.0ms (5.2% of total)

ival-sqrt: 5.0ms (5.2% of total)

ival-sinu: 5.0ms (5.2% of total)

ival-sin: 3.0ms (3.1% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series137.0ms (1.2%)

Memory

-22.1MiB live, 131.8MiB allocated

Counts

24 → 528

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))))) #<representation binary32>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	maxCos	@	0	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* uy (* 2 (sqrt (PI)))) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (- 1 (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
26.0ms	ux	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* uy (* 2 (sqrt (PI)))) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (- 1 (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
6.0ms	ux	@	-inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* uy (* 2 (sqrt (PI)))) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (- 1 (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
6.0ms	maxCos	@	inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* uy (* 2 (sqrt (PI)))) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (- 1 (pow (- 1 ux) 2)) (pow (- 1 ux) 2))
5.0ms	maxCos	@	-inf	((* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI))) (* (sin (* (* uy (* 2 (sqrt (PI)))) (sqrt (PI)))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* uy 2) (PI)) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (* (PI) 2) uy) (* uy (* 2 (sqrt (PI)))) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (- 1 (pow (- 1 ux) 2)) (pow (- 1 ux) 2))

simplify271.0ms (2.3%)

Memory

-10.0MiB live, 267.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	801	14263
1	2696	13308
0	8425	12736

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- (+ 1 (* -1 (* ux (- 1 ux)))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* maxCos (pow ux 2)) (* ux (- (+ 1 (* -1 ux)) ux))))))) ux)
(- (+ 1 (+ (* -1 (* ux (- 1 ux))) (* maxCos (+ ux (+ (* maxCos (pow ux 2)) (* ux (- (+ 1 (* -1 ux)) ux))))))) ux)
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(/ (- 1 (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))) (/ ux (pow maxCos 2))))
(* (pow maxCos 2) (- (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))) (/ ux (pow maxCos 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- (+ 1 (* -1 ux)) ux))) (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 ux) (+ (* -1 (* ux (- (+ 1 (* -1 ux)) ux))) (* -1 (/ (- (+ 1 (* -1 (* ux (- 1 ux)))) ux) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
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1
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1
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1
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1
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1
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1
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(* -2 (pow ux 2))
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(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) ux))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) (/ 1 ux)) ux))))
(* (pow ux 2) (+ (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))) (* -1 (/ (- (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) (/ 1 ux)) ux))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* -2 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))

Outputs
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(-.f32 (fma.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(-.f32 (fma.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(-.f32 (fma.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) ux)
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(fma.f32 (neg.f32 maxCos) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (.f32 (.f32 maxCos #s(literal -1/4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)))))) maxCos (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(*.f32 maxCos ux)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) maxCos) maxCos)
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
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(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
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(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
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(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
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(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
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(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
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(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
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(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
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(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
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(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) maxCos) maxCos)
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 ux ux (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) maxCos) maxCos)
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) maxCos))) ux) maxCos)) (.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) ux) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux)) (/.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (.f32 (.f32 (.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) maxCos)))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal -2 binary32)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(.f32 (.f32 (fma.f32 (neg.f32 ux) ux (.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32))) maxCos) maxCos)
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))))
(.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) (fma.f32 (.f32 (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) uy) uy (*.f32 (PI.f32) #s(literal 2 binary32)))) uy)
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(.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (neg.f32 ux))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 #s(literal 1 binary32) maxCos)))) (neg.f32 ux))
(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux)) (neg.f32 ux))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (.f32 (.f32 #s(literal 1/16 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (.f32 (.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) ux)
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (.f32 #s(literal -2 binary32) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (neg.f32 ux))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 #s(literal 1 binary32) maxCos)))) (neg.f32 ux))
(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux)) (neg.f32 ux))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (.f32 (.f32 #s(literal 1/16 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (.f32 (.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))))) ux)) (neg.f32 ux))) (neg.f32 ux))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) ux) ux)
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(*.f32 (neg.f32 ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(*.f32 ux ux)
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) ux) ux)
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux)
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux) ux)

rewrite299.0ms (2.5%)

Memory

8.9MiB live, 244.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	423
0	114	380
1	410	361
2	3270	346
0	8673	340

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

24 → 617

Calls

Call 1

Inputs
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy (*.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))

Outputs
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eval353.0ms (3%)

Memory: 9.5MiB live, 546.4MiB allocated
Compiler: Compiled 88 751 to 5 809 computations (93.5% saved)

prune179.0ms (1.5%)

Memory

21.5MiB live, 257.7MiB allocated

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	1 748	33	1 781
Fresh	12	10	22
Picked	3	2	5
Done	0	0	0
Total	1 763	45	1 808

Accuracy

99.0%

Counts

1 808 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	24.8%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
	23.3%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
	56.5%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	56.3%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	20.0%	(.f32 (sin.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
✓	56.4%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	32.7%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	21.6%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	18.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))))))))
	28.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))
	36.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	49.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
	20.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	56.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	20.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))
	55.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	56.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
▶	94.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	33.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
▶	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	40.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 #s(literal 2 binary32) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	40.9%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) ( (* (- 1 ux) ux) 2)) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) ux)) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) ( (* (- 1 ux) ux) 2)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	40.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))) (.f32 ux ux))))))
	34.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 ux (.f32 maxCos maxCos)) (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
	50.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
	31.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
	50.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
✓	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	51.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	51.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	25.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
	20.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
▶	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
	64.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
▶	79.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	25.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	31.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
	49.8%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))

Compiler

Compiled 3 842 to 2 337 computations (39.2% saved)

simplify578.0ms (4.9%)

Memory

-34.3MiB live, 220.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
cost-diff	64	(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
cost-diff	64	(-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
cost-diff	512	(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
cost-diff	0	(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff	416	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff	0	(*.f32 (PI.f32) #s(literal 2 binary32))
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
cost-diff	0	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
cost-diff	96	(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1044
0	126	1040
1	236	1022
2	536	1002
3	2015	926
4	6552	926
0	8115	866

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
(*.f32 ux ux)
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))))
#s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
(-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (*.f32 ux ux))
(/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos)
(-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos)
#s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
#s(literal 1 binary32)
maxCos
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)

Outputs
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (-.f32 #s(literal 2 binary32) ux) ux))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) ux #s(literal -1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))))
(.f32 (.f32 ux ux) (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))))
(-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
#s(literal -2 binary32)
maxCos
ux
(pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))
(-.f32 #s(literal 1 binary32) maxCos)
#s(literal 1 binary32)
(*.f32 ux ux)
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos) (.f32 ux ux))))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy)))
(.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))
(*.f32 #s(literal 2 binary32) uy)
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos) (.f32 ux ux)))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos) (.f32 ux ux))))
(.f32 (.f32 maxCos maxCos) (-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos) (.f32 ux ux)))
(-.f32 (/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos) (.f32 ux ux))
(/.f32 (fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)) maxCos)
(fma.f32 (fma.f32 ux #s(literal 2 binary32) #s(literal -2 binary32)) ux (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos))
(/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos)
#s(approx (- 1 (pow (- 1 ux) 2)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
(-.f32 #s(literal 2 binary32) ux)
(-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32))
(/.f32 #s(literal 2 binary32) ux)
ux
#s(literal 1 binary32)
maxCos
(*.f32 (fma.f32 #s(literal -2 binary32) ux #s(literal 2 binary32)) ux)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux ux)
(*.f32 maxCos maxCos)

localize280.0ms (2.4%)

Memory

0.5MiB live, 309.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.35384750976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
accuracy	0.3671875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.9371212572196194	(PI.f32)
accuracy	14.354224131385159	(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))
accuracy	0.3678512695368841	(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
accuracy	0.9371212572196194	(PI.f32)
accuracy	1.563324179096465	(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
accuracy	5.39707503157023	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy	0.9371212572196194	(PI.f32)
accuracy	5.39707503157023	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	13.598485114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
accuracy	0.9371212572196194	(PI.f32)
accuracy	5.39707503157023	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	8.988038385038324	#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy	13.598485114131192	(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
accuracy	0.35384750976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
accuracy	0.3671875	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	0.9371212572196194	(PI.f32)
accuracy	1.502900267398638	#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))

Samples

184.0ms	242×	0	valid
11.0ms	8×	5	exit
4.0ms	6×	1	valid

Compiler

Compiled 1 751 to 138 computations (92.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 51.0ms (33.4% of total)

ival-add: 45.0ms (29.5% of total)

ival-sqrt: 17.0ms (11.1% of total)

ival-sub: 14.0ms (9.2% of total)

ival-div: 9.0ms (5.9% of total)

adjust: 5.0ms (3.3% of total)

ival-sinu: 5.0ms (3.3% of total)

ival-pow2: 5.0ms (3.3% of total)

ival-pi: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory

20.7MiB live, 144.1MiB allocated

Counts

25 → 516

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (PI.f32) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (PI.f32) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf ux) (#s(alt #<batchref> (patch (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)) #<representation binary32>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	maxCos	@	0	((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ 2 ux) 1) ux) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (PI) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)))
7.0ms	maxCos	@	-inf	((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ 2 ux) 1) ux) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (PI) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)))
4.0ms	ux	@	-inf	((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ 2 ux) 1) ux) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (PI) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)))
3.0ms	ux	@	inf	((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ 2 ux) 1) ux) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (PI) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)))
3.0ms	ux	@	0	((+ ux (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (* (* uy 2) (PI)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (PI) 2) (* (- (+ (/ 1 ux) maxCos) 1) ux) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (* (- (/ 2 ux) 1) ux) (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) (* (* (- 1 ux) ux) 2) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (PI) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (+ (* -2 maxCos) 2) (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)))

simplify229.0ms (1.9%)

Memory

-19.2MiB live, 387.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	14033
1	2659	13157
0	8235	12598

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 516

Calls

Call 1

Inputs
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(/ (- 1 (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(/ (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2)) maxCos)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
2
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(+ 2 (* -2 maxCos))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(+ (* maxCos (* (pow ux 2) (- 2 (* 2 (/ 1 ux))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))))) (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))) (pow (- 1 ux) 2))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -2 maxCos)
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* maxCos (- (* 2 (/ 1 maxCos)) 2))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos)))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* -1 (pow ux 2)) (+ (/ (* (pow ux 2) (- 2 (* 2 (/ 1 ux)))) maxCos) (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) (pow maxCos 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* (pow maxCos 2) (- (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2)))) (/ (pow (- 1 ux) 2) (pow maxCos 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -2 (* ux (- 1 ux)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(- (/ 1 maxCos) (+ (* 2 (* ux (- 1 ux))) (/ (pow (- 1 ux) 2) maxCos)))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -2 maxCos)
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* maxCos (- 2 (* 2 (/ 1 maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow ux 2) (- (* 2 (/ 1 ux)) 1)) maxCos)) (* (pow ux 2) (- (* 2 (/ 1 ux)) 2))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(* 2 ux)
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* ux (+ 2 (* -1 ux)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
2
(+ 2 (* -1 ux))
(+ 2 (* -1 ux))
(+ 2 (* -1 ux))
(* ux (- (* 2 (/ 1 maxCos)) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* ux (- (+ (* 2 (/ 1 maxCos)) (* ux (- 2 (/ 1 maxCos)))) 2))
(* 2 ux)
(* ux (+ 2 (* -2 ux)))
(* ux (+ 2 (* -2 ux)))
(* ux (+ 2 (* -2 ux)))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(+ (* -1/2 (* (sqrt (/ (pow ux 3) (- 2 (* 2 maxCos)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* -1/8 (* (sqrt (/ ux (pow (- 2 (* 2 maxCos)) 3))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))))))
(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- 2 (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
1
(+ 1 (* ux (- (* 2 maxCos) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(* ux (+ 2 (* -2 maxCos)))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- 1 maxCos) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- 1 maxCos) 2))))))
(* ux (+ 2 (+ (* -2 maxCos) (* -1 (* ux (pow (- 1 maxCos) 2))))))
(* (pow maxCos 2) (* ux (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* ux (+ (* (pow maxCos 2) (* ux (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))) (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos))))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 ux)
(* ux (- (* 2 (/ 1 ux)) 1))
(* ux (- (* 2 (/ 1 ux)) 1))
(* ux (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* (pow ux 2) (- (+ 2 (/ 2 (* maxCos ux))) (+ (/ 1 maxCos) (* 2 (/ 1 ux)))))
(* -2 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* (pow ux 2) (+ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))) (/ (* (pow maxCos 2) (- (* 2 (/ 1 (pow maxCos 2))) (* 2 (/ 1 maxCos)))) ux)))
(* -1 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 ux)
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(* -1 (* ux (- 1 (* 2 (/ 1 ux)))))
(* (pow ux 2) (- 2 (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* (pow ux 2) (- (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 maxCos))) ux))) (/ 1 maxCos)))
(* -2 (pow ux 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* (pow ux 2) (- (* 2 (/ 1 ux)) 2))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* (pow ux 2) (pow (- 1 maxCos) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (- 1 maxCos) 2)) (* 2 (/ 1 ux)))))
(* (pow maxCos 2) (* (pow ux 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))
(* (pow ux 2) (+ (* -1 (/ (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (* 2 (/ 1 (pow maxCos 2))))) ux)) (* (pow maxCos 2) (- (* 2 (/ 1 maxCos)) (+ 1 (/ 1 (pow maxCos 2)))))))

Outputs
(.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (fma.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) (.f32 (.f32 maxCos #s(literal -1/4 binary32)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))) (.f32 (.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)))))) maxCos (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) maxCos)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(fma.f32 (.f32 (neg.f32 maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(fma.f32 (fma.f32 (.f32 maxCos #s(literal -1/2 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 maxCos ux)) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (fma.f32 (.f32 #s(literal -1/2 binary32) maxCos) (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (.f32 (neg.f32 ux) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)))))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(fma.f32 (neg.f32 maxCos) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
#s(literal 2 binary32)
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)
(fma.f32 (.f32 maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux))) (.f32 ux ux) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux))
(fma.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos))
(fma.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux (.f32 (.f32 (.f32 ux ux) (fma.f32 #s(literal -1 binary32) maxCos (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)))) maxCos))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))) maxCos)
(.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (.f32 maxCos maxCos))) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(.f32 (fma.f32 (.f32 #s(literal 1/4 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (.f32 maxCos maxCos))) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))))) maxCos)
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (-.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(*.f32 maxCos ux)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(*.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux) maxCos)
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) maxCos) maxCos)
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (-.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (-.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (-.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (pow.f32 maxCos #s(literal 3 binary32))) (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))) maxCos)
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) maxCos) maxCos)
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(*.f32 #s(literal -2 binary32) maxCos)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos) #s(literal -1 binary32))) (.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) maxCos) maxCos)
(.f32 (-.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) ux) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux) maxCos))))) maxCos)))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) ux)) (/.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (.f32 #s(literal -1/4 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (.f32 (.f32 (.f32 maxCos (pow.f32 ux #s(literal 3 binary32))) #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)))) (neg.f32 maxCos))) maxCos)))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(*.f32 (neg.f32 maxCos) (neg.f32 (fma.f32 ux (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) maxCos) ux)))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) maxCos) maxCos)
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) (neg.f32 maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) ux) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (neg.f32 ux) ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 #s(literal -1 binary32) (fma.f32 ux (+.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) ux) (/.f32 ux maxCos))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (neg.f32 maxCos)) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (neg.f32 maxCos)) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos (neg.f32 maxCos)) (*.f32 ux ux))
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) maxCos) maxCos)
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(.f32 (.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
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(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux)) (neg.f32 ux))
(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1/16 binary32) (.f32 ux (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) ux)) (neg.f32 ux))
(neg.f32 ux)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (neg.f32 ux))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (neg.f32 ux))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) ux)) (neg.f32 ux))
(.f32 (.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) maxCos)) ux) ux)
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))
(.f32 (.f32 #s(literal -2 binary32) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 2 binary32)) ux) ux)
(.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (neg.f32 ux))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (-.f32 #s(literal 1 binary32) maxCos)))) (neg.f32 ux))
(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1/8 binary32) (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))))) ux)) (neg.f32 ux))
(.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (/.f32 (-.f32 (.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (fma.f32 (/.f32 #s(literal -1/8 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 3 binary32))) (.f32 (/.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 2 binary32)) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (/.f32 #s(literal 1/16 binary32) (.f32 ux (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)))) (/.f32 (.f32 (pow.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) #s(literal 3 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy))) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32))))) ux)) ux)) (neg.f32 ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 (neg.f32 ux) ux))
(.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 (neg.f32 ux) ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 (neg.f32 ux) ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))
(.f32 (fma.f32 (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos) (/.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos))) (.f32 maxCos maxCos)) (neg.f32 ux))) (*.f32 ux ux))

rewrite222.0ms (1.9%)

Memory

-1.5MiB live, 223.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	496
0	126	468
1	509	456
2	4172	446
0	8494	420

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

25 → 375

Calls

Call 1

Inputs
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
(*.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(PI.f32)
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32))
(.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos))

Outputs
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eval212.0ms (1.8%)

Memory: -1.5MiB live, 283.8MiB allocated
Compiler: Compiled 66 292 to 3 615 computations (94.5% saved)

prune99.0ms (0.8%)

Memory

34.0MiB live, 271.8MiB allocated

Pruning

56 alts after pruning (52 fresh and 4 done)

	Pruned	Kept	Total
New	1 124	32	1 156
Fresh	18	20	38
Picked	3	2	5
Done	0	2	2
Total	1 145	56	1 201

Accuracy

99.6%

Counts

1 201 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	25.0%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
▶	94.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	56.3%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	93.6%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	93.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	50.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
✓	56.4%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	91.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (E.f32))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	50.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (E.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	35.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	48.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
	56.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	55.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	56.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
	23.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
✓	94.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
	94.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	94.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	73.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) ( (* (- 1 ux) ux) 2)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	40.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))) (.f32 ux ux))))))
	34.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 ux (.f32 maxCos maxCos)) (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
	50.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
▶	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	0.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
▶	20.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	50.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
✓	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
▶	51.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	25.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	25.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
✓	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
	79.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	79.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+.f32 (.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (.f32 ux ux)) (.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))))))
	64.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	82.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (.f32 #s(literal 4 binary32) (.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	42.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	82.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (+.f32 (.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	81.9%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) (.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 2 binary32)) maxCos)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	79.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	34.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
	79.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	31.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
	32.3%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
	32.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
	49.6%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))

Compiler

Compiled 5 026 to 3 187 computations (36.6% saved)

simplify152.0ms (1.3%)

Memory

-6.4MiB live, 237.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
cost-diff	160	(*.f32 (PI.f32) (log.f32 (E.f32)))
cost-diff	416	(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
cost-diff	3200	(log.f32 (E.f32))
cost-diff	0	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
cost-diff	0	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
cost-diff	64	(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
cost-diff	96	(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))
cost-diff	416	(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
cost-diff	0	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
cost-diff	0	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
cost-diff	0	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
cost-diff	96	(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
cost-diff	0	(.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))))
cost-diff	0	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
cost-diff	96	(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	875
0	123	855
1	235	810
2	496	792
3	1778	766
4	7574	766
0	8378	700

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))))
#s(literal 2 binary32)
(.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(sin.f32 (*.f32 (PI.f32) uy))
(*.f32 (PI.f32) uy)
(PI.f32)
uy
(cos.f32 (*.f32 (PI.f32) uy))
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
#s(literal -1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux))))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))
#s(literal 1 binary32)
#s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy))
(.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)
(.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(PI.f32)
(log.f32 (E.f32))
(E.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(literal 1 binary32)
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)

Outputs
(.f32 (.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (-.f32 #s(literal 2 binary32) ux) ux))) (sin.f32 (.f32 uy (PI.f32)))) (.f32 (cos.f32 (.f32 uy (PI.f32))) #s(literal 2 binary32)))
(.f32 (.f32 (cos.f32 (.f32 uy (PI.f32))) #s(literal 2 binary32)) (sin.f32 (.f32 uy (PI.f32))))
#s(literal 2 binary32)
(.f32 (cos.f32 (.f32 uy (PI.f32))) (sin.f32 (*.f32 uy (PI.f32))))
(sin.f32 (*.f32 uy (PI.f32)))
(*.f32 uy (PI.f32))
(PI.f32)
uy
(cos.f32 (*.f32 uy (PI.f32)))
(sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux))
(*.f32 (-.f32 #s(literal 2 binary32) ux) ux)
ux
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))
#s(literal -1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)
(/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))))) (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 uy #s(literal 2 binary32))
uy
#s(literal 2 binary32)
(PI.f32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 ux #s(literal 2 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 ux #s(literal 1 binary32)) ux #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
(-.f32 #s(literal 1 binary32) ux)
ux
(.f32 (sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
(PI.f32)
#s(literal 1 binary32)
(E.f32)
#s(literal 2 binary32)
uy
(sqrt.f32 (fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 (-.f32 ux (fma.f32 ux maxCos #s(literal 1 binary32))) #s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
ux
(*.f32 ux maxCos)
maxCos
#s(approx (+ (- 1 ux) (* ux maxCos)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)
(/.f32 #s(literal 1 binary32) ux)

localize185.0ms (1.6%)

Memory

-1.9MiB live, 224.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))
accuracy	1.0	(log.f32 (E.f32))
accuracy	5.421330708779718	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
accuracy	0.36070253907376815	(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
accuracy	0.36556625976844204	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
accuracy	0.37109375	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))
accuracy	0.4147262695368841	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))
accuracy	0.4375000012071535	(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
accuracy	5.421330708779718	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	13.614110114131192	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))
accuracy	0.37109375	(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
accuracy	5.421330708779718	#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
accuracy	9.743979248005633	#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
accuracy	26.352495497576886	(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
accuracy	0.22265625	(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
accuracy	0.36556625976844204	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
accuracy	0.37109375	(*.f32 (PI.f32) uy)
accuracy	1.502900267398638	#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))

Samples

115.0ms	250×	0	valid
4.0ms	6×	1	valid

Compiler

Compiled 1 541 to 133 computations (91.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-mult: 45.0ms (47.1% of total)

ival-sub: 14.0ms (14.6% of total)

ival-add: 10.0ms (10.5% of total)

ival-sinu: 8.0ms (8.4% of total)

ival-sqrt: 5.0ms (5.2% of total)

ival-div: 4.0ms (4.2% of total)

ival-cosu: 3.0ms (3.1% of total)

ival-log: 3.0ms (3.1% of total)

ival-e: 2.0ms (2.1% of total)

adjust: 1.0ms (1% of total)

ival-pi: 1.0ms (1% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series78.0ms (0.7%)

Memory

-0.7MiB live, 124.5MiB allocated

Counts

29 → 552

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (log.f32 (E.f32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (PI.f32) (log.f32 (E.f32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (PI.f32) uy) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 maxCos) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))) #<representation binary32>) () ())) ())
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Calls

9 calls:

Time	Variable		Point	Expression
9.0ms	maxCos	@	-inf	((+ ux (* (- 1 ux) ux)) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (- 1 ux) ux)) ux) (- 1 (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (log (E)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (* (PI) (log (E))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (PI) uy) (* (- 1 ux) ux) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))
6.0ms	ux	@	inf	((+ ux (* (- 1 ux) ux)) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (- 1 ux) ux)) ux) (- 1 (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (log (E)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (* (PI) (log (E))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (PI) uy) (* (- 1 ux) ux) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))
6.0ms	uy	@	0	((+ ux (* (- 1 ux) ux)) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (- 1 ux) ux)) ux) (- 1 (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (log (E)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (* (PI) (log (E))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (PI) uy) (* (- 1 ux) ux) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))
5.0ms	ux	@	0	((+ ux (* (- 1 ux) ux)) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (- 1 ux) ux)) ux) (- 1 (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (log (E)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (* (PI) (log (E))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (PI) uy) (* (- 1 ux) ux) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))
4.0ms	maxCos	@	0	((+ ux (* (- 1 ux) ux)) (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (* (sin (* (PI) uy)) (cos (* (PI) uy))) (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1) (* (sin (* (* uy 2) (PI))) (sqrt (+ (* -1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) 1))) (sin (* (* uy 2) (PI))) (* (* (PI) 2) uy) (* (+ ux (/ (- 1 ux) maxCos)) maxCos) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (+ (- 1 ux) (* ux maxCos)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (- (- 1 (* (- 1 ux) ux)) ux) (- 1 (* (- 1 ux) ux)) (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (sin (* (* uy 2) (PI))) (log (E)) (* (- (+ (/ 1 ux) maxCos) 1) ux) (* (PI) (log (E))) (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (PI) uy) (* (- 1 ux) ux) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (* (* uy 2) (PI)) (sin (* (* uy 2) (PI))) (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))

simplify270.0ms (2.3%)

Memory

-4.4MiB live, 277.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1180	13775
1	4167	13217
0	9276	12627

Stop Event

1×	iter limit
1×	node limit

Counts

552 → 551

Calls

Call 1

Inputs
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (* maxCos (+ (* -1 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))))
(+ (* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))) (* maxCos (+ (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* maxCos (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))))
(+ 1 (* -1 (pow (- 1 ux) 2)))
(+ 1 (+ (* -2 (* maxCos (* ux (- 1 ux)))) (* -1 (pow (- 1 ux) 2))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(+ 1 (+ (* -1 (pow (- 1 ux) 2)) (* maxCos (+ (* -2 (* ux (- 1 ux))) (* -1 (* maxCos (pow ux 2)))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2)))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* 1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))) (* maxCos (+ (* 1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2))))))))) (sqrt (/ 1 (pow (+ 1 (* -1 (pow (- 1 ux) 2))) 3))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (- (* -1 (pow ux 2)) (/ (* (pow ux 2) (pow (- 1 ux) 2)) (+ 1 (* -1 (pow (- 1 ux) 2)))))) (sqrt (/ 1 (+ 1 (* -1 (pow (- 1 ux) 2))))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (+ 1 (* -1 (pow (- 1 ux) 2))))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(+ (* -1 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(+ (* maxCos (+ (* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (- 1 ux))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))) (* maxCos (+ (* -1/2 (* (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (* (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2)) (- 1 ux))))) (sqrt (/ 1 (pow (- 1 (pow (- 1 ux) 2)) 3))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (/ (* (pow ux 2) (pow (- 1 ux) 2)) (- 1 (pow (- 1 ux) 2))) (pow ux 2))) (sqrt (/ 1 (- 1 (pow (- 1 ux) 2)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux))))))
(+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(+ (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* maxCos (+ (* -1/2 (* (* (sin (* 2 (* uy (PI)))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))) (sqrt (/ 1 (- ux (* -1 (* ux (- 1 ux)))))))) (* -1/4 (* (* maxCos (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (+ (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (- ux (* -1 (* ux (- 1 ux)))))) (pow ux 2))))) (sqrt (/ 1 (pow (- ux (* -1 (* ux (- 1 ux)))) 3))))))))) (* (sin (* 2 (* uy (PI)))) (sqrt (- ux (* -1 (* ux (- 1 ux)))))))
(* ux (- (/ 1 ux) 1))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(+ (* maxCos ux) (* ux (- (/ 1 ux) 1)))
(- 1 (pow (- 1 ux) 2))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(- ux (* -1 (* ux (- 1 ux))))
(- (+ ux (* -1 (* maxCos (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(- (+ ux (* maxCos (- (* -1 (* maxCos (pow ux 2))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))))) (* -1 (* ux (- 1 ux))))
(pow (- 1 ux) 2)
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(* 2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 2) (* ux (sqrt -1)))))))
(* maxCos (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 2) (* ux (sqrt -1))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (+ (* -1 (/ (pow (- 1 ux) 2) (pow maxCos 2))) (+ (* -1 (pow ux 2)) (/ 1 (pow maxCos 2))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* (pow maxCos 3) (* (pow ux 2) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ ux (* ux (- (+ 1 (* -1 ux)) ux)))) (* maxCos (* ux (sqrt -1))))) (+ (* 1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* (pow maxCos 3) (* (pow ux 3) (pow (sqrt -1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* (pow maxCos 2) (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))))
(* maxCos ux)
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* maxCos (+ ux (/ (* ux (- (/ 1 ux) 1)) maxCos)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (+ ux (* ux (- (+ 1 (* -1 ux)) ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (- (/ ux (pow maxCos 2)) (+ (* -1 (/ (* ux (- 1 ux)) (pow maxCos 2))) (+ (/ ux maxCos) (+ (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos) (pow ux 2))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* -2 (* maxCos (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))
(* -1 (* maxCos (+ (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))))) (* maxCos (* ux (sqrt -1)))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))))) (* ux (sqrt -1)))) (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))))) (* ux (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* ux (sqrt -1)))) maxCos))) maxCos)) (* 2 (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (sqrt -1))))))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -2 (/ (* ux (- 1 ux)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 (pow (- 1 ux) 2))) maxCos)) (* 2 (* ux (- 1 ux)))) maxCos)) (* -1 (pow ux 2))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (+ 1 (* -1 (pow (- 1 ux) 2))) (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* maxCos (* ux (sqrt -1))))) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (* (- 1 ux) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2))))) (* maxCos (* (pow ux 2) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 1 (+ (/ (pow (- 1 ux) 2) (pow (sqrt -1) 2)) (pow (- 1 ux) 2)))) (* ux (sqrt -1))))) maxCos)) (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (sqrt -1))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(* -1 (* maxCos (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* maxCos (* ux (sqrt -1))))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1)))) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* maxCos (* ux (sqrt -1)))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (* (sin (* 2 (* uy (PI)))) (* (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2)))))))) (* maxCos (* (pow ux 3) (pow (sqrt -1) 3))))) (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- ux (+ (* -1 (* ux (- 1 ux))) (* 1/4 (/ (pow (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux)))) 2) (* (pow ux 2) (pow (sqrt -1) 2))))))) (* ux (sqrt -1))))) maxCos)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) (* ux (sqrt -1))))) maxCos)) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (* ux (- (/ 1 ux) 1)) maxCos)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (- (+ (* -1 (/ ux maxCos)) (* -1 (/ (* ux (- (+ 1 (* -1 ux)) ux)) maxCos))) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- ux (* -1 (* ux (- 1 ux)))) maxCos)) (+ (* -1 ux) (* -1 (* ux (- (+ 1 (* -1 ux)) ux))))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* 2 (* (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* 2 (* (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* 2 (PI)) (* 2 (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))) (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* 2 (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3)))) (* (pow uy 2) (+ (* 2 (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7))))))) (* 2 (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5)))))))))))
(* uy (PI))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (* -1/6 (pow (PI) 3))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (* 1/12 (pow (PI) 5))))))))))
(* uy (+ (PI) (* (pow uy 2) (+ (* -1/2 (pow (PI) 3)) (+ (* -1/6 (pow (PI) 3)) (* (pow uy 2) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/24 (pow (PI) 5)) (+ (* 1/12 (pow (PI) 5)) (* (pow uy 2) (+ (* -1/144 (pow (PI) 7)) (+ (* -1/240 (pow (PI) 7)) (+ (* -1/720 (pow (PI) 7)) (* -1/5040 (pow (PI) 7)))))))))))))))
(* 2 (* (* uy (PI)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))) (* 4/15 (* (pow (PI) 5) (sqrt (+ 1 (* -1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))) (* 4/15 (* (pow (PI) 5) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))))))))
(* 2 (* (* uy (PI)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* uy (+ (* -4/3 (* (* (pow uy 2) (pow (PI) 3)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (* (pow uy 2) (pow (PI) 5)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))
(* uy (+ (* 2 (* (PI) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -4/3 (* (pow (PI) 3) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* (pow uy 2) (+ (* -8/315 (* (* (pow uy 2) (pow (PI) 7)) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux)))))))) (* 4/15 (* (pow (PI) 5) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))))))))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* uy (PI))
(* uy (PI))
(* uy (PI))
(* uy (PI))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* (pow uy 2) (+ (* -8/315 (* (pow uy 2) (pow (PI) 7))) (* 4/15 (pow (PI) 5))))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* 2 (* (* (cos (* uy (PI))) (sin (* uy (PI)))) (sqrt (- ux (+ (* maxCos ux) (* ux (* (- maxCos 1) (- (+ 1 (* maxCos ux)) ux))))))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* 2 (* (cos (* uy (PI))) (sin (* uy (PI)))))
(* (cos (* uy (PI))) (sin (* uy (PI))))
(* (cos (* uy (PI))) (sin (* uy (PI))))
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1
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1
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1
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1
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(+ (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI))))) (* (pow ux 2) (+ (* -1/2 (* (sqrt (/ 1 (* ux (- 2 (* 2 maxCos))))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow ux 3) (pow (- 2 (* 2 maxCos)) 3)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 4)))) (* -1/16 (* (sqrt (/ 1 (* ux (pow (- 2 (* 2 maxCos)) 5)))) (* (sin (* 2 (* uy (PI)))) (pow (- maxCos 1) 6)))))))))
1
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ux
(* ux (+ 1 (* -1 ux)))
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1
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1
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1
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(* ux (+ (* -1/4 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 2))) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/8 (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (- 2 (* 2 maxCos)) 3))) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 2 (* (cos (* uy (PI))) (* (sin (* uy (PI))) (* (sqrt -1) (- maxCos 1))))) (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (- 2 (* 2 maxCos)))) (* ux (* (sqrt -1) (- maxCos 1))))))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (- (* 2 maxCos) 2)) (* ux (* (sqrt -1) (- maxCos 1))))) (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* -1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- (* 2 maxCos) 2) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* maxCos (* ux (- 1 (/ 1 maxCos))))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
(* ux (+ (* maxCos (- 1 (/ 1 maxCos))) (/ 1 ux)))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(pow ux 2)
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(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (* 2 (/ 1 ux))))
(pow ux 2)
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(* (pow ux 2) (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)))
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(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))))
(* ux (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 2)) (* (pow ux 2) (* (pow (sqrt -1) 3) (pow (- maxCos 1) 3))))) (+ (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (- 2 (* 2 maxCos)) 3)) (* (pow ux 3) (* (pow (sqrt -1) 5) (pow (- maxCos 1) 5))))) (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
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(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* -1 (pow ux 2))
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(* (pow ux 2) (- (/ 1 ux) 1))
(* (pow ux 2) (- (/ 1 ux) 1))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(* (pow ux 2) (pow (- maxCos 1) 2))
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(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(* -1 (pow ux 2))
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(* (pow ux 2) (- (* 2 (/ 1 ux)) 1))
(* -2 (* (* ux (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (sqrt -1) 2)))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1 (* (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* 2 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/4 (* (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2))) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) ux)) (* 2 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2))) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/8 (* (/ (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3))) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) ux)) (* 2 (* (* (cos (* uy (PI))) (* (sin (* uy (PI))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* (pow ux 2) (+ (* -2 (/ maxCos ux)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* 2 (/ 1 ux)))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* maxCos (* ux (- (/ 1 maxCos) 1))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* maxCos (- (/ 1 maxCos) 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(* -1 (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* ux (* (sqrt -1) (+ 1 (* -1 maxCos)))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos))))) (* 1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* ux (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 2)) (* (pow (sqrt -1) 3) (pow (+ 1 (* -1 maxCos)) 3)))) (* 1/16 (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 2 (* -2 maxCos)) 3)) (* ux (* (pow (sqrt -1) 5) (pow (+ 1 (* -1 maxCos)) 5)))))) ux)) (* -1/2 (/ (* (sin (* 2 (* uy (PI)))) (+ 2 (* -2 maxCos))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))) ux)) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos)))))))
(pow ux 2)
(* (pow ux 2) (- 1 (* 2 (/ 1 ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 2 (/ 1 ux)) ux))))
(pow ux 2)
(* (pow ux 2) (- 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))))
(* (pow ux 2) (+ 1 (* -1 (/ (- 1 (/ 1 ux)) ux))))
(* -1 (* (* ux (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2))) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (* ux (+ (* -1/2 (* (/ (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) ux) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* 1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (* ux (pow (sqrt -1) 2))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* -1 (* ux (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 2)) (pow (sqrt -1) 2)) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 3) (pow (- maxCos 1) 3)))))) (* -1/16 (* (/ (* (sin (* 2 (* uy (PI)))) (pow (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1)))) 3)) (* ux (pow (sqrt -1) 4))) (sqrt (/ 1 (* (pow (+ 1 (* -1 maxCos)) 5) (pow (- maxCos 1) 5))))))) ux)) (* 1/2 (* (* (sin (* 2 (* uy (PI)))) (+ 1 (+ (* -1 maxCos) (* -1 (- maxCos 1))))) (sqrt (/ 1 (* (+ 1 (* -1 maxCos)) (- maxCos 1))))))) ux)) (* (* (sin (* 2 (* uy (PI)))) (pow (sqrt -1) 2)) (sqrt (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 ux) 1))
(* (pow ux 2) (- (/ 1 ux) 1))
(* (pow ux 2) (- (/ 1 ux) 1))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- maxCos 1)))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (- (+ (* -1 (/ maxCos ux)) (+ (* -1 (/ (- maxCos 1) ux)) (/ 1 ux))) (* -1 (* (+ 1 (* -1 maxCos)) (- maxCos 1)))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))

Outputs
(.f32 (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (.f32 (.f32 maxCos (cos.f32 (.f32 (PI.f32) uy))) (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy)))) (.f32 (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(fma.f32 (.f32 (.f32 #s(literal 2 binary32) (cos.f32 (.f32 (PI.f32) uy))) (sin.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 maxCos (.f32 (.f32 (.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))))) maxCos))
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (.f32 maxCos (.f32 (.f32 (.f32 (.f32 (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/2 binary32))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))))) maxCos (.f32 (.f32 (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(-.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos ux) (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 (.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #s(literal 1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 maxCos ux) (.f32 (.f32 (neg.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (.f32 (.f32 (neg.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))))
(-.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos ux) (.f32 (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 (neg.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (.f32 (.f32 maxCos (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))) #s(literal -1/2 binary32))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 maxCos ux) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 3 binary32)))) (.f32 (.f32 (fma.f32 (.f32 ux ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (.f32 ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))))) maxCos (.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) ux))) maxCos (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))
(fma.f32 (.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (.f32 maxCos (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))) maxCos (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))) (.f32 (.f32 maxCos (.f32 (.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (fma.f32 (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))) #s(literal 1/4 binary32) (.f32 ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) #s(literal 3 binary32)))))) #s(literal -1/4 binary32))) maxCos (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))) maxCos (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(-.f32 (fma.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 (.f32 ux ux) maxCos)) maxCos #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos ux) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos ux) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos ux) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(+.f32 (fma.f32 (neg.f32 (fma.f32 (.f32 ux ux) maxCos (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) maxCos ux) (.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(.f32 (.f32 #s(literal 2 binary32) maxCos) (.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))))
(.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy))) (.f32 maxCos ux)) (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(.f32 (-.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (/.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy))) (.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(.f32 (-.f32 (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (/.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (sin.f32 (.f32 (PI.f32) uy))) (.f32 maxCos ux)) (/.f32 (cos.f32 (*.f32 (PI.f32) uy)) (sqrt.f32 #s(literal -1 binary32))))) maxCos)
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (-.f32 (fma.f32 (neg.f32 ux) ux (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (*.f32 maxCos maxCos))
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux))) maxCos)
(.f32 (fma.f32 (neg.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos)) (fma.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (.f32 ux ux))) (fma.f32 (/.f32 #s(literal 1/2 binary32) (.f32 maxCos maxCos)) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)))) maxCos)
(.f32 (.f32 maxCos ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 maxCos ux)) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux)) maxCos)
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (.f32 (.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32)))) maxCos)
(.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) maxCos) (fma.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (.f32 ux (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (/.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) #s(literal 2 binary32)) (.f32 ux ux)))) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) (.f32 (.f32 (*.f32 maxCos maxCos) ux) (sqrt.f32 #s(literal -1 binary32)))) #s(literal 1/2 binary32))))) maxCos)
(*.f32 maxCos ux)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos)) (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))))) (*.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (+.f32 (fma.f32 ux ux (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) maxCos)) (/.f32 ux maxCos)))) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (+.f32 (fma.f32 ux ux (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) maxCos)) (/.f32 ux maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) (neg.f32 maxCos)) (.f32 ux ux)) (*.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (+.f32 (fma.f32 ux ux (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) maxCos)) (/.f32 ux maxCos)))) (.f32 maxCos maxCos))
(.f32 (-.f32 (/.f32 ux (.f32 maxCos maxCos)) (fma.f32 (/.f32 (neg.f32 ux) maxCos) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (+.f32 (fma.f32 ux ux (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux) maxCos)) (/.f32 ux maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 maxCos maxCos) (*.f32 ux ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (.f32 ux ux)) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)))) (.f32 maxCos maxCos))
(.f32 (.f32 #s(literal -2 binary32) maxCos) (.f32 (.f32 ux (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 (PI.f32) uy)))))
(.f32 (neg.f32 maxCos) (fma.f32 (/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (PI.f32) uy))) maxCos) (/.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux)) (.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (*.f32 (PI.f32) uy))))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (/.f32 (neg.f32 (fma.f32 (cos.f32 (.f32 (PI.f32) uy)) (.f32 (/.f32 (sin.f32 (.f32 (PI.f32) uy)) (.f32 maxCos ux)) (/.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (cos.f32 (.f32 (PI.f32) uy)) (/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) (sin.f32 (.f32 (PI.f32) uy))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 #s(literal 2 binary32) ux) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy)))) (/.f32 (neg.f32 (fma.f32 (/.f32 (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) ux) (/.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) maxCos) (/.f32 (.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (.f32 (.f32 (-.f32 (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) (.f32 #s(literal -1/4 binary32) (/.f32 (pow.f32 (neg.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux)) #s(literal 2 binary32)) (.f32 ux ux)))) (sin.f32 (.f32 (PI.f32) uy))) (cos.f32 (.f32 (PI.f32) uy))) (.f32 (sqrt.f32 #s(literal -1 binary32)) ux))) maxCos))) maxCos)))
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) maxCos))))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (-.f32 (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (/.f32 (.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 ux ux) maxCos)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) ux))))) maxCos)) maxCos)))
(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(.f32 (.f32 maxCos maxCos) (*.f32 (neg.f32 ux) ux))
(.f32 (fma.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos) #s(literal -2 binary32) (.f32 (neg.f32 ux) ux)) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(.f32 (neg.f32 (fma.f32 ux ux (/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos)) maxCos))) (.f32 maxCos maxCos))
(*.f32 maxCos ux)
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 maxCos)) ux))
(.f32 (.f32 (neg.f32 maxCos) ux) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (*.f32 (PI.f32) uy) #s(literal 2 binary32)))))
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(.f32 (neg.f32 maxCos) (-.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)))) ux) (/.f32 (fma.f32 (.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) #s(literal -1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (.f32 maxCos ux)) (/.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) ux)) (sqrt.f32 #s(literal -1 binary32)))) maxCos)))
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(.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (-.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)) (/.f32 maxCos ux)) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))

rewrite188.0ms (1.6%)

Memory

13.4MiB live, 281.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	490
0	119	453
1	452	427
2	3537	423
0	9004	392

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

29 → 617

Calls

Call 1

Inputs
(+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy))))
(.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (*.f32 (PI.f32) uy)))
(fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))
(.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)
(-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
(log.f32 (E.f32))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(*.f32 (PI.f32) (log.f32 (E.f32)))
(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))
#s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))
(*.f32 (PI.f32) uy)
(*.f32 (-.f32 #s(literal 1 binary32) ux) ux)
#s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)))
(-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
#s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy))
(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)))

Outputs
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eval255.0ms (2.2%)

Memory: 4.2MiB live, 380.6MiB allocated
Compiler: Compiled 76 706 to 5 095 computations (93.4% saved)

prune126.0ms (1.1%)

Memory

32.9MiB live, 389.6MiB allocated

Pruning

70 alts after pruning (65 fresh and 5 done)

	Pruned	Kept	Total
New	1 346	25	1 371
Fresh	7	40	47
Picked	4	1	5
Done	0	4	4
Total	1 357	70	1 427

Accuracy

99.6%

Counts

1 427 → 70

Alt Table

Click to see full alt table

Status	Accuracy	Program
	22.9%	(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
	94.3%	(.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 #s(literal 0 binary32) (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
✓	94.3%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.2%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	73.8%	(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
	79.4%	(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	56.1%	(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
	93.6%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	93.5%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	50.2%	(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
✓	56.4%	(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	91.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (E.f32))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	50.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (E.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	35.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
	48.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
	56.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	56.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))
	23.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
	83.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
✓	94.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
	94.3%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
	94.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
	94.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	73.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	50.6%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) ( (* (- 1 ux) ux) 2)) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) maxCos)) ux)) (/.f32 #s(literal 1 binary32) maxCos)) (.f32 ux ux))) maxCos) (.f32 ux ux)) (.f32 maxCos maxCos)))))
	40.8%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 (.f32 maxCos maxCos) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)) ux) (-.f32 (-.f32 (/.f32 #s(literal 2 binary32) maxCos) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 maxCos maxCos))))) (.f32 ux ux))))))
	34.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (- (/ (- 1 (pow (- 1 ux) 2)) maxCos) (* (* (- 1 ux) ux) 2)) maxCos) (* ux ux)) (* maxCos maxCos)) (.f32 (.f32 ux (.f32 maxCos maxCos)) (-.f32 (/.f32 #s(literal 2 binary32) (.f32 maxCos maxCos)) (/.f32 #s(literal 2 binary32) maxCos)))))))
	56.3%	(.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
	21.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	21.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	21.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	22.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	21.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	21.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	50.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (-.f32 #s(literal 1 binary32) ux)))))))
	-0.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	-0.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
	82.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	50.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
	23.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
✓	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	51.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
	50.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
	25.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
	50.7%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	50.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	49.8%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
	50.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
	25.4%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
✓	7.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
	62.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
	82.0%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal 4 binary32) (.f32 #s(literal 4 binary32) (.f32 maxCos maxCos))) (-.f32 #s(literal 2 binary32) (.f32 #s(literal -2 binary32) maxCos))) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	42.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
	79.3%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
	82.1%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
	34.5%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
	79.2%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
	20.6%	(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
	32.7%	#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
	31.2%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
	31.9%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
	32.7%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
	49.6%	#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))

Compiler

Compiled 8 435 to 2 716 computations (67.8% saved)

regimes428.0ms (3.6%)

Memory

-16.4MiB live, 682.4MiB allocated

Counts

118 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
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(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (PI.f32) uy)))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 uy (PI.f32))) (cos.f32 (.f32 uy (PI.f32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32)) (/.f32 (-.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) ux)) ux)) (.f32 ux ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (PI.f32) (log.f32 (E.f32))))) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 0 binary32) (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 2 binary32))))))
(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))))) (sqrt.f32 (+.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32))))
(.f32 (sin.f32 (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) (.f32 uy #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 (sin.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (expm1.f32 (.f32 (log1p.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 4 binary32))) (-.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) #s(literal 1 binary32)))))
(/.f32 (.f32 (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32))))) (sqrt.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))
(.f32 (.f32 #s(literal 2 binary32) (.f32 (sin.f32 (.f32 (PI.f32) uy)) (cos.f32 (.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (.f32 (cbrt.f32 (PI.f32)) uy))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32)))))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 6 binary32)))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))))))

Outputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (*.f32 maxCos ux))) (*.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))

Calls

11 calls:

55.0ms	(*.f32 uy #s(literal 2 binary32))
54.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
49.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
36.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
35.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
97.3%	1	`ux`
97.3%	1	`uy`
97.3%	1	`maxCos`
97.3%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
97.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
97.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
97.3%	1	`(*.f32 uy #s(literal 2 binary32))`
97.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
97.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
97.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
97.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes211.0ms (1.8%)

Memory

-27.5MiB live, 329.0MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))) (.f32 (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) #s(literal 2 binary32)))) uy) (.f32 (PI.f32) (fma.f32 (.f32 (.f32 uy uy) #s(literal -4/3 binary32)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (.f32 ux ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (+.f32 (.f32 #s(literal -2 binary32) maxCos) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))

Outputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (-.f32 ux (*.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))

Calls

11 calls:

21.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
20.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
19.0ms	uy
19.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
19.0ms	maxCos

Results

Accuracy	Segments	Branch
94.7%	1	`ux`
94.7%	1	`uy`
94.7%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
94.7%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
94.7%	1	`(*.f32 uy #s(literal 2 binary32))`
94.7%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
94.7%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
94.7%	1	`maxCos`
94.7%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
94.7%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
94.7%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes242.0ms (2.1%)

Memory

36.5MiB live, 307.3MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (-.f32 #s(literal 2 binary32) (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) (*.f32 #s(literal 2 binary32) maxCos)) ux))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos)))) (sin.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (PI.f32) (log.f32 (E.f32))) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) (-.f32 #s(literal 1 binary32) ux)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 #s(approx (+ ( -2 maxCos) 2) #s(literal 2 binary32)) ux) (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 2 binary32))) (*.f32 ux ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))

Outputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))

Calls

11 calls:

64.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
22.0ms	maxCos
20.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
19.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
18.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
94.3%	1	`maxCos`
94.3%	1	`ux`
94.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
94.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
94.3%	1	`uy`
94.3%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
94.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
94.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
94.3%	1	`(*.f32 uy #s(literal 2 binary32))`
94.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
94.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes184.0ms (1.6%)

Memory

-27.0MiB live, 250.9MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))

Calls

11 calls:

34.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
19.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
15.0ms	uy
15.0ms	(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))
14.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))

Results

Accuracy	Segments	Branch
94.3%	1	`maxCos`
94.3%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
94.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
94.3%	1	`ux`
94.3%	1	`uy`
94.3%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
94.3%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
94.3%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
94.3%	1	`(*.f32 uy #s(literal 2 binary32))`
94.3%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
94.3%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes155.0ms (1.3%)

Memory

9.2MiB live, 282.5MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (fma.f32 ux (-.f32 #s(literal 1 binary32) ux) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))

Calls

11 calls:

19.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
15.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
15.0ms	(*.f32 uy #s(literal 2 binary32))
14.0ms	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
14.0ms	maxCos

Results

Accuracy	Segments	Branch
94.2%	1	`maxCos`
94.2%	1	`uy`
94.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
94.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
94.2%	1	`(*.f32 uy #s(literal 2 binary32))`
94.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
94.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
94.2%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
94.2%	1	`ux`
94.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
94.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes152.0ms (1.3%)

Memory

40.9MiB live, 274.5MiB allocated

Counts

42 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))

(*.f32 (sin.f32 (*.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux)))))

Calls

11 calls:

24.0ms	maxCos
18.0ms	ux
13.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
13.0ms	(*.f32 uy #s(literal 2 binary32))
13.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

Accuracy	Segments	Branch
87.7%	2	`uy`
79.4%	1	`maxCos`
86.6%	2	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
87.7%	2	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
87.7%	2	`(*.f32 uy #s(literal 2 binary32))`
86.4%	2	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
86.4%	2	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
86.4%	2	`ux`
83.7%	2	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
86.4%	2	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
86.4%	2	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes127.0ms (1.1%)

Memory

-12.8MiB live, 303.3MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (.f32 #s(literal 2 binary32) #s(approx (* (sin (* (PI) uy)) (cos (* (PI) uy))) (.f32 (PI.f32) uy))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (PI.f32)) #s(literal 1 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos)))) (-.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) (.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) #s(approx (* (- (+ (/ 1 ux) maxCos) 1) ux) #s(literal 1 binary32)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
#s(approx (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy) (sqrt.f32 (-.f32 ux (.f32 ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) #s(literal 1 binary32)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
#s(approx (* (* 2 (* (sin (* (PI) uy)) (cos (* (PI) uy)))) (sqrt (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))))) (.f32 (.f32 (.f32 (PI.f32) uy) #s(literal 2 binary32)) (sqrt.f32 (-.f32 ux (fma.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux) (*.f32 maxCos ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (.f32 uy (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) maxCos) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (*.f32 (+.f32 maxCos (/.f32 #s(literal 1 binary32) ux)) ux) (neg.f32 ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) (.f32 #s(literal 1 binary32) uy) (.f32 uy (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) (* ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(approx (+ (- 1 ux) ( ux maxCos)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) uy) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (.f32 #s(literal 2 binary32) uy) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #s(approx (+ (- 1 ux) ( ux maxCos)) (*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(approx (- 1 (pow (- 1 ux) 2)) (.f32 (.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) ux) ux)) maxCos) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) #s(literal 2 binary32))) maxCos) (.f32 ux ux)) (*.f32 maxCos maxCos)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) #s(approx (* (- (/ (+ (* -2 maxCos) 2) ux) (pow (- 1 maxCos) 2)) (* ux ux)) (.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 2 binary32) ux) #s(literal 1 binary32)) (.f32 maxCos maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 2 binary32) ux)) maxCos))) (.f32 ux ux)) (.f32 maxCos maxCos))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))

Calls

10 calls:

16.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
12.0ms	ux
12.0ms	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
12.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
12.0ms	uy

Results

Accuracy	Segments	Branch
79.4%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
79.4%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
79.4%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
79.4%	1	`ux`
79.4%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
79.4%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
79.4%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
79.4%	1	`uy`
79.4%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
79.4%	1	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 98 to 76 computations (22.4% saved)

regimes33.0ms (0.3%)

Memory

9.3MiB live, 88.0MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))

Calls

11 calls:

3.0ms	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
3.0ms	(*.f32 uy #s(literal 2 binary32))
3.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))

Results

Accuracy	Segments	Branch
64.0%	1	`maxCos`
64.0%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
64.0%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
64.0%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
64.0%	1	`uy`
64.0%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
64.0%	1	`(*.f32 uy #s(literal 2 binary32))`
64.0%	1	`ux`
64.0%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
64.0%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
64.0%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes30.0ms (0.3%)

Memory

0.4MiB live, 80.6MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 (PI.f32) uy (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))

Calls

11 calls:

4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))
3.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
3.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
21.2%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
21.2%	1	`maxCos`
21.2%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
21.2%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
21.2%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
21.2%	1	`uy`
21.2%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
21.2%	1	`(*.f32 uy #s(literal 2 binary32))`
21.2%	1	`ux`
21.2%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
21.2%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes22.0ms (0.2%)

Memory

7.9MiB live, 47.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))

Calls

11 calls:

3.0ms	maxCos
2.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
2.0ms	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
2.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
2.0ms	uy

Results

Accuracy	Segments	Branch
20.6%	1	`ux`
20.6%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
20.6%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
20.6%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
20.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
20.6%	1	`uy`
20.6%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
20.6%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
20.6%	1	`(*.f32 uy #s(literal 2 binary32))`
20.6%	1	`maxCos`
20.6%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

regimes38.0ms (0.3%)

Memory

-14.4MiB live, 24.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

Outputs

(*.f32 #s(approx (sin (* (* uy 2) (PI))) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

Calls

11 calls:

25.0ms	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
1.0ms	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))
1.0ms	(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))
1.0ms	uy
1.0ms	(*.f32 uy #s(literal 2 binary32))

Results

Accuracy	Segments	Branch
7.1%	1	`ux`
7.1%	1	`(sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32)))`
7.1%	1	`(sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))))`
7.1%	1	`(-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))`
7.1%	1	`(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))`
7.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
7.1%	1	`maxCos`
7.1%	1	`(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos))))))`
7.1%	1	`uy`
7.1%	1	`(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))`
7.1%	1	`(*.f32 uy #s(literal 2 binary32))`

Compiler

Compiled 99 to 79 computations (20.2% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.005580109544098377	0.00572087662294507

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify59.0ms (0.5%)

Memory

-2.9MiB live, 36.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	478
1	152	478
2	196	478
3	226	478
4	242	478
5	245	478
6	246	478

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 (+.f32 #s(literal 0 binary32) (-.f32 ux (.f32 maxCos ux))) (.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux) (-.f32 maxCos #s(literal 1 binary32))))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (*.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))))
(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 (-.f32 #s(literal 2 binary32) ux) ux)))))
(if (<=.f32 (.f32 uy #s(literal 2 binary32)) #s(literal 3006477/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (.f32 (-.f32 #s(literal 1 binary32) ux) ux))))) (.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (*.f32 #s(literal 2 binary32) ux))))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) ux)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (*.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (fma.f32 uy (PI.f32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (PI.f32) (+.f32 uy uy))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))))

Outputs
(.f32 (sqrt.f32 (-.f32 (-.f32 ux (.f32 maxCos ux)) (.f32 (-.f32 maxCos #s(literal 1 binary32)) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) ux)))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) (-.f32 ux (.f32 (fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux ux) maxCos))))) (sin.f32 (.f32 (PI.f32) (.f32 #s(literal 2 binary32) uy))))
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(.f32 (sqrt.f32 #s(approx (- 1 (+ (+ ( maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 (-.f32 #s(literal 2 binary32) ux) ux)))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy))))
(if (<=.f32 (.f32 #s(literal 2 binary32) uy) #s(literal 3006477/536870912 binary32)) (.f32 #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux)))) (.f32 (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) #s(approx (+ ux (* (- 1 ux) ux)) (.f32 ux #s(literal 2 binary32))))) (sin.f32 (.f32 (PI.f32) (*.f32 #s(literal 2 binary32) uy)))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)) (sqrt.f32 #s(approx (- 1 (+ (+ (* maxCos ux) (- 1 ux)) (* (+ (* maxCos ux) (- 1 ux)) (* ux (+ -1 maxCos))))) (+.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux))))
(.f32 (sqrt.f32 #s(approx (- 1 ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))) (.f32 (fma.f32 #s(literal -2 binary32) maxCos #s(literal 2 binary32)) ux))) #s(approx (sin ( (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))
(.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (sin (* (* uy 2) (PI))) (fma.f32 uy (PI.f32) (*.f32 (PI.f32) uy))))
(.f32 #s(approx (sin ( (* uy 2) (PI))) (.f32 (+.f32 uy uy) (PI.f32))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) #s(approx ( (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))) #s(literal 1 binary32)))) #s(approx (sin (* (* uy 2) (PI))) (.f32 (.f32 (PI.f32) #s(literal 2 binary32)) uy)))

soundness1.5s (12.7%)

Memory

38.6MiB live, 859.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	2987
1	1369	2839
2	5249	2658
0	8234	2533
0	1180	13775
1	4167	13217
0	9276	12627
0	792	14033
1	2659	13157
0	8235	12598
0	78	496
0	126	468
1	509	456
2	4172	446
0	8494	420
0	16	75
0	27	57
1	103	57
2	843	57
0	9218	53
0	801	14263
1	2696	13308
0	8425	12736
0	72	490
0	119	453
1	452	427
2	3537	423
0	9004	392
0	66	423
0	114	380
1	410	361
2	3270	346
0	8673	340

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 1 356 to 670 computations (50.6% saved)

preprocess110.0ms (0.9%)

Memory: 7.5MiB live, 161.4MiB allocated
Remove: (negabs uy)
Compiler: Compiled 1 864 to 776 computations (58.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze197.0ms (1.7%)

sample2.1s (17.6%)

explain218.0ms (1.8%)

preprocess300.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify247.0ms (2.1%)

localize97.0ms (0.8%)

series34.0ms (0.3%)

simplify247.0ms (2.1%)

rewrite225.0ms (1.9%)

eval226.0ms (1.9%)

prune86.0ms (0.7%)

simplify179.0ms (1.5%)

localize183.0ms (1.6%)

series137.0ms (1.2%)

simplify271.0ms (2.3%)

rewrite299.0ms (2.5%)

eval353.0ms (3%)

prune179.0ms (1.5%)

simplify578.0ms (4.9%)

localize280.0ms (2.4%)

series67.0ms (0.6%)

simplify229.0ms (1.9%)

rewrite222.0ms (1.9%)

eval212.0ms (1.8%)

prune99.0ms (0.8%)

simplify152.0ms (1.3%)

localize185.0ms (1.6%)

series78.0ms (0.7%)

simplify270.0ms (2.3%)

rewrite188.0ms (1.6%)

eval255.0ms (2.2%)

prune126.0ms (1.1%)

regimes428.0ms (3.6%)

regimes211.0ms (1.8%)

regimes242.0ms (2.1%)

regimes184.0ms (1.6%)

regimes155.0ms (1.3%)

regimes152.0ms (1.3%)

regimes127.0ms (1.1%)

regimes33.0ms (0.3%)

regimes30.0ms (0.3%)

regimes22.0ms (0.2%)

regimes38.0ms (0.3%)

bsearch1.0ms (0%)

simplify59.0ms (0.5%)

soundness1.5s (12.7%)

preprocess110.0ms (0.9%)

end0.0ms (0%)

Profiling