Metrics for UniformSampleCone, y

analyze191.0ms (3.6%)

Memory

9.5MiB live, 282.4MiB 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 30 computations (38.8% saved)

sample1.9s (36%)

Memory

92.4MiB live, 2 198.6MiB allocated

Samples

1.5s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

ival-mult: 515.0ms (41.4% of total)

ival-<=: 222.0ms (17.9% of total)

const: 131.0ms (10.5% of total)

ival-sin: 112.0ms (9% of total)

ival-sub: 91.0ms (7.3% of total)

ival-sqrt: 55.0ms (4.4% of total)

ival-add: 40.0ms (3.2% of total)

ival-pi: 33.0ms (2.7% of total)

ival-and: 31.0ms (2.5% of total)

exact: 10.0ms (0.8% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

preprocess612.0ms (11.6%)

Memory

-6.7MiB live, 833.8MiB allocated

Algorithm

2×	egg-herbie

Rules

21 000×	`accelerator-lowering-fma.f32`
21 000×	`accelerator-lowering-fma.f64`
3 864×	`--lowering--.f32`
3 864×	`--lowering--.f64`
2 876×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	265
1	213	252
2	725	250
3	3294	250
4	7186	250
0	16	25
1	40	25
2	121	25
3	526	25
4	2887	23
5	7289	23
0	8171	21

Stop Event

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

Calls

Call 1

Inputs
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))

Outputs

(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))

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

Call 2

Inputs
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 (neg ux)) (* (neg ux) maxCos)) (+ (- 1 (neg ux)) (* (neg ux) maxCos))))))
(* (sin (* (* (neg uy) 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux (neg maxCos))) (+ (- 1 ux) (* ux (neg maxCos)))))))
(neg (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 (neg ux)) (* (neg ux) maxCos)) (+ (- 1 (neg ux)) (* (neg ux) maxCos)))))))
(neg (* (sin (* (* (neg uy) 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))))
(neg (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux (neg maxCos))) (+ (- 1 ux) (* ux (neg maxCos))))))))
(* (sin (* (* ux 2) (PI))) (sqrt (- 1 (* (+ (- 1 uy) (* uy maxCos)) (+ (- 1 uy) (* uy maxCos))))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 maxCos) (* maxCos ux)) (+ (- 1 maxCos) (* maxCos ux))))))
(* (sin (* (* maxCos 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux uy)) (+ (- 1 ux) (* ux uy))))))

Outputs
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
(* (sin (* uy (* 2 (PI)))) (sqrt (+ 1 (* (+ 1 (- (* ux maxCos) ux)) (+ ux (- -1 (* ux maxCos)))))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 (neg ux)) (* (neg ux) maxCos)) (+ (- 1 (neg ux)) (* (neg ux) maxCos))))))
(* (sin (* uy (* 2 (PI)))) (sqrt (+ 1 (* (- 1 (- (* ux maxCos) ux)) (+ -1 (- (* ux maxCos) ux))))))
(* (sin (* (* (neg uy) 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
(* (sqrt (+ 1 (* (+ 1 (- (* ux maxCos) ux)) (+ ux (- -1 (* ux maxCos)))))) (sin (* (PI) (* uy -2))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux (neg maxCos))) (+ (- 1 ux) (* ux (neg maxCos)))))))
(* (sin (* uy (* 2 (PI)))) (sqrt (+ 1 (* (- (- 1 ux) (* ux maxCos)) (+ ux (+ (* ux maxCos) -1))))))
(neg (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 (neg ux)) (* (neg ux) maxCos)) (+ (- 1 (neg ux)) (* (neg ux) maxCos)))))))
(* (sqrt (+ 1 (* (- 1 (- (* ux maxCos) ux)) (+ -1 (- (* ux maxCos) ux))))) (sin (* (PI) (* uy -2))))
(neg (* (sin (* (* (neg uy) 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))))
(* (sin (* uy (* 2 (PI)))) (sqrt (+ 1 (* (+ 1 (- (* ux maxCos) ux)) (+ ux (- -1 (* ux maxCos)))))))
(neg (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux (neg maxCos))) (+ (- 1 ux) (* ux (neg maxCos))))))))
(* (sin (* (PI) (* uy -2))) (sqrt (+ 1 (* (- (- 1 ux) (* ux maxCos)) (+ ux (+ (* ux maxCos) -1))))))
(* (sin (* (* ux 2) (PI))) (sqrt (- 1 (* (+ (- 1 uy) (* uy maxCos)) (+ (- 1 uy) (* uy maxCos))))))
(* (sin (* 2 (* (PI) ux))) (sqrt (+ 1 (* (+ 1 (* uy (+ maxCos -1))) (- -1 (* uy (+ maxCos -1)))))))
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 maxCos) (* maxCos ux)) (+ (- 1 maxCos) (* maxCos ux))))))
(* (sin (* uy (* 2 (PI)))) (sqrt (+ 1 (* (- 1 (- maxCos (* ux maxCos))) (+ -1 (- maxCos (* ux maxCos)))))))
(* (sin (* (* maxCos 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux uy)) (+ (- 1 ux) (* ux uy))))))
(* (sin (* (PI) (* 2 maxCos))) (sqrt (+ 1 (* (+ 1 (- (* uy ux) ux)) (- -1 (- (* uy ux) ux))))))

Symmetry

(negabs uy)

explain173.0ms (3.3%)

Memory

8.4MiB live, 317.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
194	6	(0.002078784629702568 0.11928067356348038 4.868020400201557e-30)	3	(0.006146409083157778 3.69702576108466e-7 1.752028461170655e-28)	`(-.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))))`
4	0	-	4	(3.259142886236077e-6 0.9859877824783325 1.0391263994017838e-13)	`(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	197	12

Confusion

	Predicted +	Predicted -
+	189	6
-	8	53

Precision

0.9593908629441624

Recall

0.9692307692307692

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	189	5	1
-	8	7	46

Precision?

0.9282296650717703

Recall?

0.9948717948717949

Freqs

test

number	freq
0	59
1	197

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

55.0ms

512×

valid

Compiler

Compiled 276 to 68 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.8% of total)

ival-sin: 8.0ms (21.6% of total)

ival-add: 5.0ms (13.5% of total)

ival-sub: 4.0ms (10.8% of total)

ival-sqrt: 3.0ms (8.1% of total)

ival-pi: 2.0ms (5.4% of total)

exact: 1.0ms (2.7% of total)

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

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

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(.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

▶

58.5%

(*.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 28 to 16 computations (42.9% saved)

simplify591.0ms (11.2%)

Memory

11.4MiB live, 865.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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 #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	96	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Rules

21 000×	`accelerator-lowering-fma.f32`
21 000×	`accelerator-lowering-fma.f64`
3 864×	`--lowering--.f32`
3 864×	`--lowering--.f64`
2 876×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	108
1	40	108
2	121	108
3	526	108
4	2887	102
5	7289	102
0	8171	93

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
(sin (* (* uy 2) (PI)))
(* (* uy 2) (PI))
(* uy 2)
uy
2
(PI)
(sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))))
(- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))
1
(* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))
(+ (- 1 ux) (* ux maxCos))
(- 1 ux)
ux
(* ux maxCos)
maxCos

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

localize50.0ms (0.9%)

Memory

0.5MiB live, 76.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
✓	accuracy	98.9%	(.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	98.8%	(.f32 (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)))
✓	accuracy	58.7%	(-.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

33.0ms

256×

valid

Compiler

Compiled 110 to 18 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 7.0ms (35.3% of total)

ival-add: 5.0ms (25.2% of total)

ival-sin: 3.0ms (15.1% of total)

ival-sub: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-pi: 1.0ms (5% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.5%)

Memory

-5.8MiB live, 30.8MiB allocated

Counts

6 → 132

Calls

Call 1

Inputs
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))>
#<alt (* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))>
#<alt (sin (* (* uy 2) (PI)))>
#<alt (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))>
#<alt (* (* uy 2) (PI))>

Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* ux (- 2 (* 2 maxCos)))>
#<alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))>
#<alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))>
#<alt (* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))>
#<alt (* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))>
#<alt (* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))>
#<alt (* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (- 1 (pow (- 1 ux) 2))>
#<alt (- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))>
#<alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))>
#<alt (- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))>
#<alt (* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))>
#<alt (* -1 (* (pow maxCos 2) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))>
#<alt (* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))>
#<alt (* 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)))))))>
#<alt (* 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)))))))))>
#<alt (* 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)))))))))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))>
#<alt (* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))>
#<alt (+ (* -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))))))>
#<alt (+ (* (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)))))))>
#<alt (+ (* (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)))))))))>
#<alt (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))>
#<alt (* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* -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)))))))>
#<alt (* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))>
#<alt (+ (* -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)))))>
#<alt (+ (* 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)))))>
#<alt (+ (* 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)))))>
#<alt (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))>
#<alt (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* 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))))))>
#<alt (* 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)))))))>
#<alt (* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))>
#<alt (* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))>
#<alt (* -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))))))>
#<alt (* -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))))))>
#<alt (* 2 (* uy (PI)))>
#<alt (* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))>
#<alt (* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))>
#<alt (* 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))))))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt (sin (* 2 (* uy (PI))))>
#<alt 1>
#<alt (+ 1 (* ux (- (* 2 maxCos) 2)))>
#<alt (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))>
#<alt (+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))>
#<alt (* (pow ux 2) (pow (- maxCos 1) 2))>
#<alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))>
#<alt (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))>
#<alt (* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))>
#<alt (pow (- 1 ux) 2)>
#<alt (+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))>
#<alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))>
#<alt (+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>
#<alt (* 2 (* uy (PI)))>

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	maxCos	@	0	(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
2.0ms	ux	@	0	(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	uy	@	0	(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	maxCos	@	inf	(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))
1.0ms	ux	@	inf	(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos))))))

rewrite558.0ms (10.6%)

Memory

38.5MiB live, 857.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 194×	`accelerator-lowering-fma.f32`
10 194×	`accelerator-lowering-fma.f64`
5 994×	`-lowering-.f32`
5 994×	`-lowering-.f64`
3 752×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	57
1	92	57
2	830	57
0	9192	53

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 638

Calls

Call 1

Inputs
(+ (- 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)))
(* (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)))
(* (* uy 2) (PI))

Outputs
(neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))
(exp.f32 (.f32 (log1p.f32 (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)))
(+.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) #s(literal 1 binary32)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (/.f32 (.f32 maxCos (.f32 ux (.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))))
(+.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32))) (neg.f32 ux))
(+.f32 (*.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 ux))
(+.f32 (fma.f32 ux maxCos (neg.f32 ux)) #s(literal 1 binary32))
(pow.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 #s(literal 1 binary32) (*.f32 ux maxCos) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux maxCos #s(literal 1 binary32)) (neg.f32 ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 ux (*.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (*.f32 ux maxCos) #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (neg.f32 (/.f32 (.f32 maxCos (.f32 ux (.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 ux maxCos))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux maxCos))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (*.f32 ux maxCos))
(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
(fma.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 ux) #s(literal -1 binary32))) (.f32 ux maxCos))
(fma.f32 #s(literal -1 binary32) ux (+.f32 #s(literal 1 binary32) (*.f32 ux maxCos)))
(fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) #s(literal 1 binary32) (neg.f32 ux))
(fma.f32 (*.f32 maxCos #s(literal 1 binary32)) ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (.f32 ux maxCos))
(fma.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(-.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (*.f32 ux maxCos)))
(-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 (.f32 maxCos (.f32 ux (.f32 ux maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (-.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (*.f32 ux maxCos)))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (-.f32 (/.f32 (.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux maxCos)))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (/.f32 (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (+.f32 #s(literal 1 binary32) (.f32 (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))))
(-.f32 (/.f32 (.f32 maxCos (.f32 ux (.f32 ux maxCos))) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)))
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(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (.f32 ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))) (+.f32 #s(literal 1 binary32) ux))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)) (+.f32 #s(literal 1 binary32) ux))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (neg.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (neg.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (neg.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (neg.f32 (fma.f32 ux (.f32 maxCos (.f32 maxCos (.f32 ux (.f32 ux maxCos)))) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 ux maxCos) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux))))) (fma.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (.f32 (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (fma.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 ux (-.f32 #s(literal 1 binary32) maxCos) #s(literal 1 binary32))))) (fma.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 ux (.f32 ux maxCos)) maxCos (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (.f32 (*.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (.f32 ux maxCos) #s(literal 1 binary32)) ux)) (fma.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (+.f32 #s(literal -1 binary32) maxCos))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (.f32 (.f32 ux (+.f32 #s(literal -1 binary32) maxCos)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 ux) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))) (fma.f32 (neg.f32 ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 maxCos maxCos) (.f32 ux ux) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) maxCos (fma.f32 maxCos (.f32 ux (.f32 ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux) (.f32 ux (*.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux (fma.f32 maxCos (.f32 ux (.f32 ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) maxCos (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) ux) (.f32 maxCos #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) maxCos) ux (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))
(fma.f32 (.f32 ux (.f32 maxCos maxCos)) ux (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (+.f32 maxCos #s(literal 1 binary32)) ux))) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))
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(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) (fma.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (.f32 maxCos (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
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(.f32 #s(literal 1 binary32) (.f32 uy (*.f32 #s(literal 2 binary32) (PI.f32))))
(.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))
(.f32 #s(literal 2 binary32) (.f32 (PI.f32) uy))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))
(.f32 (PI.f32) (.f32 uy #s(literal 2 binary32)))
(.f32 (PI.f32) (.f32 #s(literal 1 binary32) (*.f32 uy #s(literal 2 binary32))))
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(.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32))) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/3 binary32)))
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(.f32 (.f32 (.f32 uy (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))

simplify456.0ms (8.6%)

Memory

11.2MiB live, 721.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 866×	`accelerator-lowering-fma.f32`
12 866×	`accelerator-lowering-fma.f64`
6 636×	`-lowering-.f32`
6 636×	`-lowering-.f64`
3 508×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	2987
1	1369	2839
2	5256	2658
0	8239	2533

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -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)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* 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)))))
(* 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 (* (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 (+ 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 (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 (* (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) (- (* -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)))
(* 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 (- 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))))
(* (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 (* (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 (* (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)))))))
(* (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)))))
(* 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 (* 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 (* 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))))))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
(sin (* 2 (* uy (PI))))
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)))
(* (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 (+ 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 (- 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 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) (+ (* -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)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))
(* 2 (* uy (PI)))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 ux (+.f32 (+.f32 maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 ux (+.f32 maxCos #s(literal -1 binary32)))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(*.f32 ux maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* maxCos ux)
(*.f32 ux maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))
(* ux (- 2 (* 2 maxCos)))
(*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(* ux (- (+ 2 (* -1 (* ux (pow (- maxCos 1) 2)))) (* 2 maxCos)))
(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))
(* -1 (* (pow ux 2) (pow (- maxCos 1) 2)))
(.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* (pow ux 2) (- (* 2 (/ 1 ux)) (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2))))
(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* -1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux (+.f32 maxCos #s(literal -1 binary32))) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* (pow ux 2) (- (+ (* -2 (/ maxCos ux)) (* 2 (/ 1 ux))) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) maxCos)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(- 1 (pow (- 1 ux) 2))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
(- (+ 1 (* -2 (* maxCos (* ux (- 1 ux))))) (pow (- 1 ux) 2))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 maxCos #s(literal -2 binary32)) ux (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 maxCos (.f32 ux (fma.f32 ux (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(- (+ 1 (* maxCos (- (* -1 (* maxCos (pow ux 2))) (* 2 (* ux (- 1 ux)))))) (pow (- 1 ux) 2))
(fma.f32 maxCos (.f32 ux (fma.f32 ux (neg.f32 maxCos) (.f32 #s(literal -2 binary32) (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(-.f32 #s(literal 0 binary32) (.f32 ux (.f32 ux (*.f32 maxCos maxCos))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)))))
(* (pow maxCos 2) (- (/ 1 (pow maxCos 2)) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))))
(+.f32 #s(literal 1 binary32) (neg.f32 (.f32 (.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(-.f32 #s(literal 0 binary32) (.f32 ux (.f32 ux (*.f32 maxCos maxCos))))
(* (pow maxCos 2) (- (* -2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal -2 binary32) (neg.f32 ux))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 maxCos (.f32 maxCos (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (neg.f32 maxCos))) maxCos)))))
(* (pow maxCos 2) (- (* -1 (/ (- (* -1 (/ (- 1 (pow (- 1 ux) 2)) maxCos)) (* -2 (* ux (- 1 ux)))) maxCos)) (pow ux 2)))
(.f32 maxCos (.f32 maxCos (neg.f32 (fma.f32 ux ux (/.f32 (fma.f32 ux (*.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (neg.f32 maxCos))) maxCos)))))
(* 2 (* (* uy (PI)) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2)))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))
(* 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)))))))
(.f32 uy (.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))
(* 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)))))))))
(.f32 uy (fma.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (PI.f32)) (.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 uy uy) (fma.f32 uy (.f32 uy (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32))))))))
(* 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)))))))))))
(.f32 uy (fma.f32 (.f32 uy uy) (.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- (+ 1 (* maxCos ux)) ux) 2))))
(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* (sqrt (* ux (- 2 (* 2 maxCos)))) (sin (* 2 (* uy (PI)))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
(+ (* -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))))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(+ (* (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)))))))
(fma.f32 (.f32 ux ux) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(+ (* (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)))))))))
(fma.f32 (.f32 ux ux) (fma.f32 ux (.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 5 binary32)))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 6 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
(* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* ux (+ (* 1/2 (/ (* (sin (* 2 (* uy (PI)))) (- 2 (* 2 maxCos))) (* ux (* (sqrt -1) (- maxCos 1))))) (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (- maxCos 1)))))
(.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux (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 (+ (* -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))))))
(.f32 ux (fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (.f32 ux ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))) #s(literal -1/8 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/2 binary32)))))
(* 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)))))))
(.f32 ux (fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))) (.f32 (.f32 ux ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))) #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 5 binary32)) (.f32 (.f32 ux (.f32 ux ux)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))))) #s(literal 1/16 binary32))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/2 binary32) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (sqrt.f32 #s(literal -1 binary32)))))))
(* -1 (* ux (* (sin (* 2 (* uy (PI)))) (* (sqrt -1) (+ 1 (* -1 maxCos))))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* -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)))))))
(neg.f32 (.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/2 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))))))
(* -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)))))))
(.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos))) (.f32 (neg.f32 ux) (sqrt.f32 #s(literal -1 binary32))))) #s(literal 1/8 binary32) (.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32)))) (neg.f32 ux))) (neg.f32 ux))
(* -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)))))))
(.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos)) (.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))) #s(literal -1/8 binary32) (.f32 (/.f32 (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) maxCos) #s(literal 5 binary32)) ux))) #s(literal 1/16 binary32)))) ux)) (neg.f32 ux))) (neg.f32 ux))
(* (sin (* 2 (* uy (PI)))) (sqrt (- 1 (pow (- 1 ux) 2))))
(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(+ (* -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)))))
(fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (.f32 (neg.f32 (.f32 ux (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)))) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(+ (* 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)))))
(fma.f32 maxCos (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (fma.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 ux ux)) (.f32 maxCos (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(+ (* 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)))))
(fma.f32 maxCos (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (fma.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 ux ux)) (.f32 maxCos (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))))))) (.f32 (.f32 (.f32 (.f32 (.f32 ux (-.f32 #s(literal 1 binary32) ux)) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) #s(literal 1 binary32)) (.f32 ux ux))) (.f32 maxCos (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))))) (.f32 #s(literal -1/2 binary32) maxCos))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))
(* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))
(.f32 maxCos (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (*.f32 ux (sqrt.f32 #s(literal -1 binary32)))))
(* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 maxCos (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))))
(* 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))))))
(.f32 maxCos (fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) #s(literal 1/2 binary32) (.f32 ux (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))))
(* 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)))))))
(.f32 maxCos (fma.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 (.f32 maxCos (.f32 maxCos maxCos)) (.f32 (.f32 ux ux) (neg.f32 (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 maxCos (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))))))
(* -1 (* maxCos (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1)))))
(.f32 (neg.f32 (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
(* -1 (* maxCos (+ (* -1 (/ (* (sin (* 2 (* uy (PI)))) (- 1 ux)) (* maxCos (sqrt -1)))) (* ux (* (sin (* 2 (* uy (PI)))) (sqrt -1))))))
(.f32 (neg.f32 maxCos) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 ux (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) (neg.f32 (*.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))))))
(* -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))))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 ux (.f32 maxCos (sqrt.f32 #s(literal -1 binary32))))) #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 maxCos))))
(* -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))))))
(.f32 (neg.f32 maxCos) (fma.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 (.f32 ux ux) (neg.f32 (.f32 maxCos (sqrt.f32 #s(literal -1 binary32)))))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))) (.f32 ux (sqrt.f32 #s(literal -1 binary32))))))) maxCos)) maxCos))))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* uy (+ (* -4/3 (* (pow uy 2) (pow (PI) 3))) (* 2 (PI))))
(.f32 uy (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))))
(* uy (+ (* 2 (PI)) (* (pow uy 2) (+ (* -4/3 (pow (PI) 3)) (* 4/15 (* (pow uy 2) (pow (PI) 5)))))))
(.f32 uy (fma.f32 (.f32 uy uy) (fma.f32 uy (.f32 uy (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))) (.f32 #s(literal 2 binary32) (PI.f32))))
(* 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))))))))
(.f32 uy (fma.f32 #s(literal 2 binary32) (PI.f32) (.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (fma.f32 (.f32 uy uy) (.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -8/315 binary32)) (.f32 #s(literal 4/15 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (.f32 (PI.f32) (.f32 (.f32 (PI.f32) (PI.f32)) #s(literal -4/3 binary32)))))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
(sin (* 2 (* uy (PI))))
(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (* 2 maxCos) 2)))
(fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal -2 binary32))) #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (pow (- maxCos 1) 2))) 2)))
(fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (*.f32 ux (+.f32 maxCos #s(literal -1 binary32))) #s(literal -2 binary32))) #s(literal 1 binary32))
(* (pow ux 2) (pow (- maxCos 1) 2))
(.f32 ux (.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (pow (- maxCos 1) 2)) (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 2 binary32) ux) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (+.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (.f32 (/.f32 #s(literal 2 binary32) ux) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (- (+ (* 2 (/ maxCos ux)) (+ (/ 1 (pow ux 2)) (pow (- maxCos 1) 2))) (* 2 (/ 1 ux))))
(.f32 (.f32 ux ux) (+.f32 (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (.f32 (/.f32 #s(literal 2 binary32) ux) (+.f32 maxCos #s(literal -1 binary32)))))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(.f32 (.f32 ux (-.f32 #s(literal 1 binary32) maxCos)) (*.f32 ux (-.f32 #s(literal 1 binary32) maxCos)))
(* (pow ux 2) (+ (* -1 (/ (+ 2 (* -2 maxCos)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos) #s(literal 0 binary32)) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) ux))) (neg.f32 ux))))
(* (pow ux 2) (+ (* -1 (/ (- (+ 2 (* -2 maxCos)) (/ 1 ux)) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(.f32 (.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) ux))) (neg.f32 ux))))
(pow (- 1 ux) 2)
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))
(+ (* 2 (* maxCos (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (.f32 maxCos #s(literal 2 binary32)) ux (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 maxCos (.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(+ (* maxCos (+ (* 2 (* ux (- 1 ux))) (* maxCos (pow ux 2)))) (pow (- 1 ux) 2))
(fma.f32 maxCos (.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32) (.f32 ux maxCos))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(* (pow maxCos 2) (pow ux 2))
(.f32 ux (.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (.f32 maxCos maxCos) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (fma.f32 ux #s(literal 2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (*.f32 ux ux)))
(* (pow maxCos 2) (pow ux 2))
(.f32 ux (.f32 ux (*.f32 maxCos maxCos)))
(* (pow maxCos 2) (+ (* 2 (/ (* ux (- 1 ux)) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (*.f32 ux (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 2 binary32) ux)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (.f32 ux #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (neg.f32 maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (.f32 maxCos maxCos) (fma.f32 ux ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (.f32 ux #s(literal -2 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (neg.f32 maxCos))))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
(* 2 (* uy (PI)))
(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))

eval181.0ms (3.4%)

Memory: -33.9MiB live, 271.2MiB allocated
Compiler: Compiled 48 241 to 4 152 computations (91.4% saved)

prune150.0ms (2.8%)

Memory

5.0MiB live, 400.6MiB allocated

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	875	28	903
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	876	28	904

Accuracy

98.9%

Counts

904 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.5%	(fma.f32 (.f32 ux ux) (fma.f32 ux (.f32 ux (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (pow.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) #s(literal 5 binary32)))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 6 binary32)))))) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (.f32 (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	93.9%	(fma.f32 (.f32 ux ux) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 ux (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))) (pow.f32 (+.f32 maxCos #s(literal -1 binary32)) #s(literal 4 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32)))))) (.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	58.4%	(/.f32 (.f32 (sin.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))))) (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	58.4%	(.f32 (pow.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) (sin.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32))))))
	54.6%	(.f32 (.f32 uy (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))) (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))))))
	50.6%	(.f32 (.f32 #s(literal 2 binary32) (.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))))))
▶	50.5%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))
	58.4%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (sin.f32 (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32)))))
	58.5%	(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32))) (sin.f32 (.f32 uy (.f32 #s(literal 2 binary32) (PI.f32)))))
	58.4%	(.f32 (sin.f32 (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (.f32 uy #s(literal 2 binary32)))))) (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))))))
	58.4%	(.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))))))
	55.9%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
	57.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (fma.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (.f32 ux maxCos) (+.f32 #s(literal -1 binary32) (.f32 ux (-.f32 #s(literal 1 binary32) maxCos))) #s(literal 1 binary32)))))
	58.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (fma.f32 (/.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)))))) (fma.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))))))))
	57.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))) (/.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))))))
	58.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))) (fma.f32 (*.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))) (fma.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	45.3%	(.f32 (sin.f32 (.f32 (*.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32)))))
	57.7%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (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 ux maxCos)) (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))))))
	58.5%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux)) (fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))))))
	57.9%	(.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) ux) (fma.f32 (*.f32 maxCos #s(literal 2 binary32)) ux (-.f32 #s(literal 1 binary32) ux))))))
	56.1%	(.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) ux) (-.f32 #s(literal 1 binary32) ux)))))
	58.5%	(.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 maxCos (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)))))))
	58.4%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 (*.f32 ux ux) (fma.f32 (-.f32 #s(literal 1 binary32) maxCos) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (+.f32 #s(literal 2 binary32) (fma.f32 maxCos #s(literal -2 binary32) (/.f32 #s(literal -1 binary32) ux))) (neg.f32 ux)))))))
▶	98.0%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 (*.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
▶	98.2%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	76.1%	(.f32 (sin.f32 (.f32 (.f32 uy #s(literal 2 binary32)) (PI.f32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)))))
▶	90.1%	(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
	54.6%	(.f32 uy (.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (PI.f32) (fma.f32 (.f32 #s(literal -4/3 binary32) (.f32 uy uy)) (.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32)))))

Compiler

Compiled 3 180 to 1 156 computations (63.6% saved)

simplify323.0ms (6.1%)

Memory

7.0MiB live, 485.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))
✓	cost-diff	0	(sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32))))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 #s(literal 2 binary32) (.f32 uy (PI.f32)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
✓	cost-diff	96	(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))) (.f32 (+.f32 maxCos #s(literal -1 binary32)) (+.f32 maxCos #s(literal -1 binary32))) (sqrt.f32 (*.f32 ux (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 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 (.f32 (*.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))))
✓	cost-diff	480	(.f32 (.f32 ux ux) (fma.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos) (/.f32 (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32)) ux)))
✓	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 (-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32)))))
✓	cost-diff	96	(-.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 maxCos #s(literal 2 binary32) #s(literal -2 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)))
✓	cost-diff	0	(.f32 (sqrt.f32 (fma.f32 (fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (*.f32 uy (PI.f32))))
✓	cost-diff	64	(fma.f32 (neg.f32 ux) (+.f32 maxCos #s(literal -1 binary32)) #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 (.f32 ux (fma.f32 ux (*.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))))
✓	cost-diff	160	(.f32 ux (fma.f32 ux (.f32 (+.f32 maxCos #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) maxCos)) (fma.f32 maxCos #s(literal -2 binary32) #s(literal 2 binary32))))

Rules

10 808×	`accelerator-lowering-fma.f32`
10 808×	`accelerator-lowering-fma.f64`
3 128×	`-lowering-.f32`
3 128×	`-lowering-.f64`
2 394×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	567
1	177	555
2	552	550
3	1982	543
4	3833	527
5	7459	527
0	8279	480

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (sin (* (* uy 2) (PI))) (sqrt (* ux (+ (* ux (* (+ maxCos -1) (- 1 maxCos))) (+ (* maxCos -2) 2)))))
(sin (* (* uy 2) (PI)))
(* (* uy 2) (PI))
(* uy 2)
uy
2
(PI)
(sqrt (* ux (+ (* ux (* (+ maxCos -1) (- 1 maxCos))) (+ (* maxCos -2) 2))))
(* ux (+ (* ux (* (+ maxCos -1) (- 1 maxCos))) (+ (* maxCos -2) 2)))
ux
(+ (* ux (* (+ maxCos -1) (- 1 maxCos))) (+ (* maxCos -2) 2))
(* (+ maxCos -1) (- 1 maxCos))
(+ maxCos -1)
maxCos
-1
(- 1 maxCos)
1
(+ (* maxCos -2) 2)
-2
(* (sqrt (+ (* (+ (* ux (+ maxCos -1)) 1) (+ (* (neg ux) (+ maxCos -1)) -1)) 1)) (* 2 (* uy (PI))))
(sqrt (+ (* (+ (* ux (+ maxCos -1)) 1) (+ (* (neg ux) (+ maxCos -1)) -1)) 1))
(+ (* (+ (* ux (+ maxCos -1)) 1) (+ (* (neg ux) (+ maxCos -1)) -1)) 1)
(+ (* ux (+ maxCos -1)) 1)
ux
(+ maxCos -1)
maxCos
-1
1
(+ (* (neg ux) (+ maxCos -1)) -1)
(neg ux)
(* 2 (* uy (PI)))
2
(* uy (PI))
uy
(PI)
(* (sin (* (* uy 2) (PI))) (sqrt (- 1 (+ (* ux (+ (* maxCos 2) -2)) 1))))
(sin (* (* uy 2) (PI)))
(* (* uy 2) (PI))
(* uy 2)
uy
2
(PI)
(sqrt (- 1 (+ (* ux (+ (* maxCos 2) -2)) 1)))
(- 1 (+ (* ux (+ (* maxCos 2) -2)) 1))
1
(+ (* ux (+ (* maxCos 2) -2)) 1)
ux
(+ (* maxCos 2) -2)
maxCos
-2
(* (sin (* (* uy 2) (PI))) (sqrt (* (* ux ux) (+ (* (+ maxCos -1) (- 1 maxCos)) (/ (+ (* maxCos -2) 2) ux)))))
(sin (* (* uy 2) (PI)))
(* (* uy 2) (PI))
(* uy 2)
uy
2
(PI)
(sqrt (* (* ux ux) (+ (* (+ maxCos -1) (- 1 maxCos)) (/ (+ (* maxCos -2) 2) ux))))
(* (* ux ux) (+ (* (+ maxCos -1) (- 1 maxCos)) (/ (+ (* maxCos -2) 2) ux)))
(* ux ux)
ux
(+ (* (+ maxCos -1) (- 1 maxCos)) (/ (+ (* maxCos -2) 2) ux))
(+ maxCos -1)
maxCos
-1
(- 1 maxCos)
1
(/ (+ (* maxCos -2) 2) ux)
(+ (* maxCos -2) 2)
-2
(* (sin (* 2 (* uy (PI)))) (+ (* (* -1/2 (sqrt (/ (* ux (* ux ux)) (+ (* maxCos -2) 2)))) (* (+ maxCos -1) (+ maxCos -1))) (sqrt (* ux (+ (* maxCos -2) 2)))))
(sin (* 2 (* uy (PI))))
(* 2 (* uy (PI)))
2
(* uy (PI))
uy
(PI)
(+ (* (* -1/2 (sqrt (/ (* ux (* ux ux)) (+ (* maxCos -2) 2)))) (* (+ maxCos -1) (+ maxCos -1))) (sqrt (* ux (+ (* maxCos -2) 2))))
(* -1/2 (sqrt (/ (* ux (* ux ux)) (+ (* maxCos -2) 2))))
-1/2
(sqrt (/ (* ux (* ux ux)) (+ (* maxCos -2) 2)))
(/ (* ux (* ux ux)) (+ (* maxCos -2) 2))
(* ux (* ux ux))
ux
(* ux ux)
(+ (* maxCos -2) 2)
maxCos
-2
(* (+ maxCos -1) (+ maxCos -1))
(+ maxCos -1)
-1
(sqrt (* ux (+ (* maxCos -2) 2)))
(* ux (+ (* maxCos -2) 2))

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

localize67.0ms (1.3%)

Memory

-24.0MiB live, 93.1MiB allocated

Samples

43.0ms

71×

valid

Compiler

Compiled 530 to 59 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-add: 19.0ms (52% of total)

ival-mult: 11.0ms (30.1% of total)

ival-sqrt: 3.0ms (8.2% of total)

ival-sin: 2.0ms (5.5% of total)

ival-div: 1.0ms (2.7% of total)

ival-sub: 1.0ms (2.7% of total)

ival-pi: 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)

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

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze191.0ms (3.6%)

sample1.9s (36%)

preprocess612.0ms (11.6%)

explain173.0ms (3.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify591.0ms (11.2%)

localize50.0ms (0.9%)

series24.0ms (0.5%)

rewrite558.0ms (10.6%)

simplify456.0ms (8.6%)

eval181.0ms (3.4%)

prune150.0ms (2.8%)

simplify323.0ms (6.1%)

localize67.0ms (1.3%)

end0.0ms (0%)

Profiling