Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze76.0ms (1.4%)

Memory

33.8MiB live, 111.7MiB 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
25%	0%	0.1%	99.9%	0%	0%	0%	3
25%	0%	0.1%	99.9%	0%	0%	0%	4
37.5%	0%	0.1%	99.9%	0%	0%	0%	5
56.2%	0.1%	0%	99.9%	0%	0%	0%	6
56.2%	0.1%	0%	99.9%	0%	0%	0%	7
65.6%	0.1%	0%	99.9%	0%	0%	0%	8
76.6%	0.1%	0%	99.9%	0%	0%	0%	9
76.6%	0.1%	0%	99.9%	0%	0%	0%	10
82%	0.1%	0%	99.9%	0%	0%	0%	11
87.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (18.5%)

Memory

45.9MiB live, 1 375.1MiB allocated

Samples

652.0ms	8 187×	0	valid
9.0ms	69×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 431.0ms

const: 127.0ms (29.5% of total)

ival-<=: 126.0ms (29.2% of total)

ival-mult: 51.0ms (11.8% of total)

ival-sub: 44.0ms (10.2% of total)

ival-add: 41.0ms (9.5% of total)

ival-and: 30.0ms (7% of total)

exact: 8.0ms (1.9% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

explain58.0ms (1.1%)

Memory

16.6MiB live, 92.2MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary32)`
-	-	`(*.f32 ux maxCos)`
-	-	`maxCos`
-	-	`ux`
-	-	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
-	-	`(-.f32 #s(literal 1 binary32) ux)`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

25.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 59 to 32 computations (45.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-add: 6.0ms (48.8% of total)

ival-mult: 3.0ms (24.4% of total)

ival-sub: 2.0ms (16.3% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess61.0ms (1.1%)

Memory

5.4MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	78	63
2	215	63
3	586	63
4	1301	63
5	1679	63
6	1809	63
7	1829	63
0	6	7
0	9	7
1	17	7
2	35	7
3	64	7
4	143	7
5	290	7
6	426	7
7	464	7
8	469	7
0	469	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))

Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify18.0ms (0.3%)

Memory

-19.1MiB live, 18.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 ux maxCos)
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	64	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	64	16
4	143	16
5	290	16
6	426	16
7	464	16
8	469	16
0	469	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
maxCos

Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(*.f32 ux maxCos)
(*.f32 maxCos ux)
maxCos

localize15.0ms (0.3%)

Memory

23.7MiB live, 23.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0	(*.f32 ux maxCos)
accuracy	0.03125	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

10.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 34 to 16 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-add: 1.0ms (22.7% of total)

ival-sub: 1.0ms (22.7% of total)

ival-mult: 1.0ms (22.7% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

7.1MiB live, 7.1MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())

Inputs

#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos)) #<representation binary32>) () ())

#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())

#s(alt (*.f32 ux maxCos) (patch (*.f32 ux maxCos) #<representation binary32>) () ())

Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 ux)) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) (patch (+.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux maxCos)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 ux maxCos) (patch (.f32 ux maxCos) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	ux	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
1.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify156.0ms (2.9%)

Memory

6.7MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	848	250
4	2091	250
5	3292	250
6	4316	250
7	5345	250
8	6781	250
9	7325	250
10	7658	250
11	7962	250
0	8013	232

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* 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)))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* -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 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)

Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)

rewrite180.0ms (3.3%)

Memory

3.5MiB live, 195.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Counts

3 → 311

Calls

Call 1

Inputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) ux)
(*.f32 ux maxCos)

Outputs
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eval32.0ms (0.6%)

Memory: -9.2MiB live, 64.4MiB allocated
Compiler: Compiled 6 295 to 781 computations (87.6% saved)

prune8.0ms (0.2%)

Memory

-6.1MiB live, 30.3MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	367	4	371
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	367	5	372

Accuracy

100.0%

Counts

372 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.2%	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
▶	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	99.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	69.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 44 to 39 computations (11.4% saved)

simplify479.0ms (8.8%)

Memory

15.4MiB live, 183.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
cost-diff	64	(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
cost-diff	160	(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
cost-diff	3072	(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
cost-diff	0	(*.f32 maxCos ux)
cost-diff	0	(-.f32 ux (*.f32 maxCos ux))
cost-diff	64	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	131
0	34	123
1	75	123
2	183	123
3	859	123
4	3276	123
0	8183	118

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(fma.f32 maxCos ux ux)
maxCos
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)
ux
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(-.f32 ux (*.f32 maxCos ux))
ux
(*.f32 maxCos ux)
maxCos
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (fma.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(fma.f32 maxCos ux ux)
maxCos
ux
#s(literal 3 binary32)
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(fma.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(*.f32 (fma.f32 (fma.f32 maxCos ux ux) ux ux) (+.f32 maxCos #s(literal 1 binary32)))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
#s(literal 2 binary32)
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(fma.f32 maxCos ux ux)

localize71.0ms (1.3%)

Memory

9.6MiB live, 90.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.10384750976844202	(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
accuracy	0.11070253907376806	(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
accuracy	0.37890625	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
accuracy	29.205403451883335	(fma.f32 maxCos ux ux)
accuracy	0	(*.f32 maxCos ux)
accuracy	0.006191259768442017	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.2260785729798641	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	9.875291270472674	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Samples

44.0ms	250×	0	valid
2.0ms	6×	1	valid

Compiler

Compiled 256 to 42 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-pow: 12.0ms (35.7% of total)

ival-sub: 6.0ms (17.8% of total)

ival-add: 5.0ms (14.9% of total)

ival-mult: 5.0ms (14.9% of total)

ival-pow2: 3.0ms (8.9% of total)

ival-div: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.7%)

Memory

-29.5MiB live, 44.0MiB allocated

Counts

13 → 300

Calls

Call 1

Inputs
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())
#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())
#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())
#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())
#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())
#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())
#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())

Outputs
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor 0 maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (pow ux 2)) (taylor 0 maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))) (taylor 0 maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))) (taylor 0 maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))) (taylor 0 maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ ux (pow ux 2))) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))) (taylor 0 maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2)))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (pow ux 3) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (pow ux 2))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2)))) (taylor inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))) (taylor inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))) (taylor inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2)))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2)))))))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (pow ux 3)) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3)))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3)))))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3))))))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (pow ux 2)) (taylor -inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2))) (taylor -inf maxCos) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
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#s(alt (* (pow maxCos 3) (pow ux 3)) (taylor -inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3))))) (taylor -inf maxCos) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
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#s(alt (* maxCos ux) (taylor 0 ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
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#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 2) (pow (+ 1 maxCos) 2)) (taylor inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 maxCos) 2)) (taylor inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 maxCos) 2)) (taylor inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (+ 1 maxCos) 2)) (taylor inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) (patch #s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- 1 (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) ux) (patch (-.f32 #s(literal 1 binary32) ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) (patch (-.f32 #s(literal 1 binary32) (-.f32 ux (.f32 maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf ux) (#s(alt (.f32 maxCos ux) (patch (.f32 maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) (patch (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (patch (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2))) (taylor -inf ux) (#s(alt (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) (patch (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (* -1 maxCos) 1)) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3))) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3))) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3))) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3))) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (pow (- (* -1 maxCos) 1) 2)) (taylor -inf ux) (#s(alt (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (patch (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
3.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
3.0ms	ux	@	-inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
2.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))
2.0ms	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))) (* 1 (+ (* maxCos ux) ux)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux)))) (/ (- 1 (pow (+ (* maxCos ux) ux) 3)) (+ 1 (+ (pow (+ (* maxCos ux) ux) 2) (* 1 (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (pow (+ (* maxCos ux) ux) 3) (pow (+ (* maxCos ux) ux) 2))

simplify211.0ms (3.9%)

Memory

12.0MiB live, 273.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	388	3717
1	1299	3528
2	4730	3507
0	8233	3239

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 297

Calls

Call 1

Inputs
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(+ ux (pow ux 2))
(+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
ux
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(+ 1 (+ ux (pow ux 2)))
(+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2))))
(- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
ux
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(pow ux 3)
(+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3))
(pow ux 2)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(* maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(* -1 (* maxCos ux))
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux)))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2)))))))
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2))))))))))
(* maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3))))))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* 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)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* (pow maxCos 3) (pow ux 3))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* ux (+ 1 maxCos))
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
1
(+ 1 (* ux (+ 1 maxCos)))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
1
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(* -1 (* ux (+ 1 maxCos)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(* -1 (* ux (+ 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 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -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))))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(* ux (- (* -1 maxCos) 1))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))

Outputs
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(+ ux (pow ux 2))
(fma.f32 ux ux ux)
(+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2)))
(fma.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos (fma.f32 ux ux ux))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux))
(+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2)))
(fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux))
ux
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ 1 (+ ux (pow ux 2)))
(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(+ 1 (+ ux (+ (* maxCos (+ ux (* 2 (pow ux 2)))) (pow ux 2))))
(+.f32 (fma.f32 (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux) maxCos (fma.f32 ux ux ux)) #s(literal 1 binary32))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(+.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux)) #s(literal 1 binary32))
(+ 1 (+ ux (+ (* maxCos (+ ux (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2))))) (pow ux 2))))
(+.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 2 binary32) maxCos) (*.f32 ux ux) ux) maxCos (fma.f32 ux ux ux)) #s(literal 1 binary32))
(/ (- 1 (pow ux 3)) (+ 1 (+ ux (pow ux 2))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(- (+ (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (-.f32 (/.f32 (.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) ux) ux) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (-.f32 (/.f32 (.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(- (+ (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (* maxCos (- (* -1 (/ (pow ux 3) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2))))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))))))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (+ 1 (+ ux (pow ux 2))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (+ 1 (+ ux (pow ux 2)))) (/ (* (pow ux 2) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))))) (/ (* (+ ux (* 2 (pow ux 2))) (- 1 (pow ux 3))) (pow (+ 1 (+ ux (pow ux 2))) 2)))) (/ 1 (+ 1 (+ ux (pow ux 2))))) (/ (pow ux 3) (+ 1 (+ ux (pow ux 2)))))
(fma.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (-.f32 (fma.f32 (+.f32 (+.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (.f32 ux ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) (.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 ux ux) (.f32 (-.f32 (/.f32 (.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))) maxCos (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))) (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) ux) ux) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos)) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (*.f32 ux ux) #s(literal 2 binary32) ux)) (pow.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 2 binary32)))) maxCos (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
ux
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(pow ux 3)
(pow.f32 ux #s(literal 3 binary32))
(+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3))
(fma.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32)) maxCos (pow.f32 ux #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (pow ux 3))) (pow ux 3)))) (pow ux 3))
(fma.f32 (fma.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32)) maxCos (.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32))) maxCos (pow.f32 ux #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (+ (* 2 (pow ux 3)) (+ (* maxCos (pow ux 3)) (pow ux 3)))) (pow ux 3)))) (pow ux 3))
(fma.f32 (fma.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) maxCos (.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32))) maxCos (pow.f32 ux #s(literal 3 binary32)))
(pow ux 2)
(*.f32 ux ux)
(+ (* 2 (* maxCos (pow ux 2))) (pow ux 2))
(.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(fma.f32 (.f32 (+.f32 #s(literal 2 binary32) maxCos) (.f32 ux ux)) maxCos (*.f32 ux ux))
(+ (* maxCos (+ (* 2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))
(fma.f32 (.f32 (+.f32 #s(literal 2 binary32) maxCos) (.f32 ux ux)) maxCos (*.f32 ux ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(.f32 (.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 ux maxCos))) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))))
(.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos)))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ ux maxCos) (pow ux 2))))
(.f32 (.f32 (fma.f32 (*.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux ux (/.f32 ux maxCos))) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(fma.f32 (.f32 (.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32)) maxCos) maxCos (fma.f32 (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos))) (.f32 maxCos maxCos) #s(literal 1 binary32)))
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ 1 (pow maxCos 2)) (+ (/ ux maxCos) (+ (/ ux (pow maxCos 2)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2)))))))
(fma.f32 (.f32 (.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32)) maxCos) maxCos (fma.f32 (+.f32 (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (/.f32 (/.f32 ux maxCos) maxCos)) (fma.f32 ux ux (/.f32 ux maxCos))) (.f32 maxCos maxCos) #s(literal 1 binary32)))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (+ (* -1 ux) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2))))) (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux)))))
(.f32 (-.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) ux)) maxCos) ux) maxCos)
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2)))))))
(.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (.f32 (.f32 (.f32 ux ux) maxCos) maxCos)) (/.f32 (.f32 #s(literal -3 binary32) (pow.f32 ux #s(literal 3 binary32))) (.f32 (.f32 ux ux) maxCos))) ux) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) ux)) (.f32 maxCos maxCos)) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (.f32 ux ux)) (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (.f32 (.f32 maxCos maxCos) ux)) (/.f32 (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) maxCos) ux)))) maxCos)
(* maxCos (- (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* maxCos (pow ux 2)))) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (* (pow maxCos 2) (pow ux 2)))) (/ 1 (* (pow maxCos 3) (pow ux 2)))))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) (* (pow maxCos 2) ux))) (+ (* -1 (/ (+ ux (* 2 (pow ux 2))) (* maxCos ux))) (+ (/ ux (pow maxCos 3)) (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 3) (pow ux 2))) (+ (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (* (pow maxCos 2) (pow ux 2))) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (+ (* -1 (/ (+ 1 (+ ux (pow ux 2))) ux)) (/ (* (+ ux (* 2 (pow ux 2))) (- (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (+ ux (* 2 (pow ux 2))) ux)))) (pow ux 2))))) (* (pow maxCos 3) (pow ux 2))))))))))
(.f32 (-.f32 (+.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (.f32 (.f32 ux ux) maxCos)) (fma.f32 #s(literal -3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (.f32 (.f32 (.f32 ux ux) maxCos) maxCos)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 maxCos #s(literal 3 binary32))) ux) ux))) ux) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (.f32 (.f32 maxCos maxCos) ux))) (/.f32 (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) maxCos) ux)) (fma.f32 (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) ux)) (.f32 ux ux)) (+.f32 (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) maxCos) maxCos)) (fma.f32 (-.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux)) (/.f32 (.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) ux)) (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux)) (.f32 ux ux))) (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) (.f32 (*.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux) ux)) (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos (+ ux (/ ux maxCos)))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 3) (pow ux 3))
(*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (/ (pow ux 3) maxCos) (pow ux 3))))
(*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (pow ux 3))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (+.f32 (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (pow ux 3) maxCos)) (+ (* 2 (/ (pow ux 3) (pow maxCos 2))) (+ (/ (pow ux 3) maxCos) (+ (/ (pow ux 3) (pow maxCos 2)) (+ (/ (pow ux 3) (pow maxCos 3)) (pow ux 3)))))))
(*.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (+.f32 (+.f32 (+.f32 (pow.f32 (/.f32 ux maxCos) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) maxCos)) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(.f32 (.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (.f32 ux ux))) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (fma.f32 ux (/.f32 (/.f32 ux maxCos) maxCos) (.f32 ux ux))) maxCos) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 (/.f32 ux maxCos) ux) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (/.f32 (fma.f32 ux ux ux) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ ux (pow ux 2)) maxCos)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (/.f32 (fma.f32 ux ux ux) maxCos)) maxCos)) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 ux)) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 ux ux) #s(literal 2 binary32) ux) maxCos)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (fma.f32 (.f32 #s(literal -2 binary32) ux) ux (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) maxCos) ux)) maxCos)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (+ (* -1 ux) (* -1 (/ (+ 1 (+ ux (pow ux 2))) maxCos)))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (fma.f32 (.f32 #s(literal -2 binary32) ux) ux (-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) maxCos) ux)) maxCos)) (.f32 maxCos maxCos))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux)) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (+.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (+.f32 (+.f32 ux #s(literal 1 binary32)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) ux)))) maxCos)) #s(literal 1 binary32))) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (- (+ 1 (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (* -1 (/ (- (/ 1 (pow ux 2)) (+ ux (+ (/ (* (+ 1 (+ ux (pow ux 2))) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (pow ux 2))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2))))))) (pow ux 2))))) maxCos))) (+ 1 (+ ux (+ (/ 1 ux) (/ (* (+ (* -2 (pow ux 2)) (* -1 ux)) (- (+ 1 (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) (pow ux 2)))) (* -2 ux))) (pow ux 2)))))) maxCos)))) (* -2 ux)) maxCos)))))
(.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (fma.f32 #s(literal 2 binary32) ux (-.f32 (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) ux))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) ux) ux) (fma.f32 (/.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) ux) (/.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) ux) (fma.f32 (-.f32 (fma.f32 (/.f32 #s(literal 3 binary32) ux) (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal 2 binary32) ux (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) ux) (/.f32 #s(literal -3 binary32) ux) #s(literal 1 binary32))) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (.f32 ux ux)) (+.f32 (/.f32 #s(literal 1 binary32) ux) ux))) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) ux) (.f32 ux ux)) ux))) maxCos))) maxCos))) maxCos)))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(*.f32 (+.f32 (/.f32 ux maxCos) ux) maxCos)
(* (pow maxCos 3) (pow ux 3))
(*.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (pow ux 3)) (pow ux 3)) maxCos)) (* -1 (pow ux 3)))))
(*.f32 (fma.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (.f32 #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos))) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (pow ux 3)) (+ (* -1 (/ (pow ux 3) maxCos)) (* -1 (pow ux 3)))) maxCos)) (+ (* 2 (pow ux 3)) (pow ux 3))) maxCos)) (* -1 (pow ux 3)))))
(*.f32 (+.f32 (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (/.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 3 binary32) (/.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) maxCos)) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 ux ux) maxCos) maxCos)
(* (pow maxCos 2) (+ (* 2 (/ (pow ux 2) maxCos)) (pow ux 2)))
(.f32 (.f32 (fma.f32 (.f32 ux (/.f32 ux maxCos)) #s(literal 2 binary32) (.f32 ux ux)) maxCos) maxCos)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) ux (.f32 ux (/.f32 ux maxCos))) maxCos)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -2 (pow ux 2)) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (fma.f32 ux ux (/.f32 (fma.f32 (.f32 #s(literal 2 binary32) ux) ux (.f32 ux (/.f32 ux maxCos))) maxCos)) (.f32 maxCos maxCos))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
1
#s(literal 1 binary32)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
(+ 1 (* -1 ux))
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux maxCos) ux ux)
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux maxCos) ux ux)
(* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2)))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux maxCos) ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (+ 1 maxCos)))
(fma.f32 (+.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (+.f32 maxCos #s(literal 1 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 1 (+ maxCos (* ux (pow (+ 1 maxCos) 2))))))
(fma.f32 (fma.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux (+.f32 maxCos #s(literal 1 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -1 (* ux (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+ 1 (* ux (- (* ux (- (* ux (* (+ 1 maxCos) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ (* -1 (pow (+ 1 maxCos) 2)) (pow (+ 1 maxCos) 2)))) (+ 1 maxCos))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- (/ 1 ux) 1))
(-.f32 #s(literal 1 binary32) ux)
(* ux (- maxCos 1))
(-.f32 (*.f32 maxCos ux) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(fma.f32 (*.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(fma.f32 (*.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(fma.f32 (*.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2))))
(fma.f32 (*.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) ux) ux ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(+.f32 (fma.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32)) ux)
(* (pow ux 2) (+ (/ 1 ux) (+ (/ 1 (pow ux 2)) (+ (/ maxCos ux) (pow (+ 1 maxCos) 2)))))
(+.f32 (fma.f32 (+.f32 (/.f32 maxCos ux) (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 ux ux) #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 maxCos)))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* ux (+ (* -1 (+ 1 maxCos)) (/ 1 ux)))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (pow (+ 1 maxCos) 3))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (+ 1 maxCos) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(-.f32 #s(literal 1 binary32) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(-.f32 (*.f32 maxCos ux) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)) ux) ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) 1) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos) ux)) ux) ux)
(* (pow ux 2) (+ (* -1 (/ (- (* -1 maxCos) (+ 1 (/ 1 ux))) ux)) (pow (- (* -1 maxCos) 1) 2)))
(.f32 (.f32 (-.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (/.f32 (-.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) maxCos) ux)) ux) ux)
(* ux (- (* -1 maxCos) 1))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* ux (- (* -1 (- (* -1 maxCos) 1)) (/ 1 ux))))
(-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (pow (- (* -1 maxCos) 1) 3)))
(*.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)
(* (pow ux 2) (pow (- (* -1 maxCos) 1) 2))
(.f32 (.f32 (pow.f32 (+.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) ux) ux)

rewrite239.0ms (4.4%)

Memory

2.6MiB live, 192.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	34	104
1	184	104
2	1476	104
0	8659	99

Stop Event

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

Counts

13 → 862

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)
(+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(fma.f32 maxCos ux ux)
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))

Outputs
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eval311.0ms (5.7%)

Memory: -6.4MiB live, 296.8MiB allocated
Compiler: Compiled 50 673 to 4 279 computations (91.6% saved)

prune68.0ms (1.3%)

Memory

29.3MiB live, 68.1MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 330	1	1 331
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 331	5	1 336

Accuracy

100.0%

Counts

1 336 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	99.8%	(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	69.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 44 to 37 computations (15.9% saved)

simplify194.0ms (3.6%)

Memory

-10.3MiB live, 205.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 maxCos ux ux)
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
cost-diff	544	(/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux)))
cost-diff	1536	(.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	87
0	19	109
1	43	109
2	102	109
3	347	88
4	1680	58
5	5277	48
0	8471	47

Stop Event

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

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
#s(literal 1 binary32)
(.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))
(/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux)))
(fma.f32 maxCos ux ux)
maxCos
ux
(sqrt.f32 (fma.f32 maxCos ux ux))
(/.f32 (-.f32 ux (*.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 maxCos ux)

Outputs
(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(-.f32 (fma.f32 ux maxCos #s(literal 1 binary32)) ux)
#s(literal 1 binary32)
(.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))
(-.f32 ux (*.f32 ux maxCos))
(/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux)))
(sqrt.f32 (fma.f32 ux maxCos ux))
(fma.f32 maxCos ux ux)
(fma.f32 ux maxCos ux)
maxCos
ux
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt.f32 (fma.f32 ux maxCos ux))
(/.f32 (-.f32 ux (*.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 ux (*.f32 ux maxCos)) (sqrt.f32 (fma.f32 ux maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(-.f32 ux (*.f32 ux maxCos))
(*.f32 maxCos ux)
(*.f32 ux maxCos)

localize53.0ms (1%)

Memory

-14.0MiB live, 23.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.47265625	(/.f32 (-.f32 ux (*.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))
accuracy	0.51171875	(/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux)))
accuracy	0.51171875	(.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))
accuracy	1.7271430346177656	(fma.f32 maxCos ux ux)

Samples

44.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 187 to 26 computations (86.1% saved)

Precisions

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

ival-div: 28.0ms (75.8% of total)

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

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

5 → 120

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())

Outputs
#s(alt ux (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (sqrt ux) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* 1/2 (* maxCos (sqrt ux)))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* maxCos (+ (* -1/8 (* maxCos (sqrt ux))) (* 1/2 (sqrt ux))))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* maxCos (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -1/8 (sqrt ux)) (* 1/16 (* maxCos (sqrt ux)))))))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (sqrt ux) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (* -1/2 (sqrt ux))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (* 1/2 (sqrt ux)))))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -3/8 (sqrt ux)) (* -5/16 (sqrt ux))))))))))) (taylor 0 maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ ux maxCos) ux)) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux maxCos)) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (+ (* 1/16 (sqrt (/ ux (pow maxCos 7)))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (sqrt (* maxCos ux))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (* -1 (sqrt (/ ux maxCos))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (+ (* -1 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))) (taylor inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux)))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos))))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (pow (sqrt -1) 2))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* 1/2 (sqrt (/ ux maxCos))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt (/ ux maxCos)) (* -1/2 (sqrt (* maxCos ux)))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))) (taylor -inf maxCos) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor 0 ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor 0 ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (sqrt (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos)) (taylor inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 (* -1 maxCos))) (taylor -inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) (patch (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1))) (taylor -inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) (patch (-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 maxCos ux ux) (patch (fma.f32 maxCos ux ux) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) (patch (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	ux	@	-inf	((* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux)))) (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (- 1 (* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))
2.0ms	maxCos	@	-inf	((* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux)))) (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (- 1 (* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))
1.0ms	ux	@	0	((* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux)))) (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (- 1 (* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))
1.0ms	maxCos	@	inf	((* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux)))) (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (- 1 (* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))
1.0ms	ux	@	inf	((* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux)))) (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (- 1 (* (/ (+ (* maxCos ux) ux) (sqrt (+ (* maxCos ux) ux))) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))) (+ (* maxCos ux) ux) (/ (- ux (* maxCos ux)) (sqrt (+ (* maxCos ux) ux))))

simplify158.0ms (2.9%)

Memory

10.1MiB live, 191.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	195	1086
1	604	989
2	1808	956
3	4577	940
0	8371	869

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 118

Calls

Call 1

Inputs
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(sqrt ux)
(+ (sqrt ux) (* 1/2 (* maxCos (sqrt ux))))
(+ (sqrt ux) (* maxCos (+ (* -1/8 (* maxCos (sqrt ux))) (* 1/2 (sqrt ux)))))
(+ (sqrt ux) (* maxCos (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -1/8 (sqrt ux)) (* 1/16 (* maxCos (sqrt ux))))))))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
ux
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(sqrt ux)
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (* -1/2 (sqrt ux)))))
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (* 1/2 (sqrt ux))))))))
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -3/8 (sqrt ux)) (* -5/16 (sqrt ux)))))))))))
(* -1 (* maxCos ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(* maxCos (- (/ ux maxCos) ux))
(sqrt (* maxCos ux))
(* maxCos (+ (sqrt (/ ux maxCos)) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))
(* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))
(* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (+ (* 1/16 (sqrt (/ ux (pow maxCos 7)))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* -1 (sqrt (* maxCos ux)))
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (* -1 (sqrt (/ ux maxCos)))))
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (+ (* -1 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2)))
(* -1 (* maxCos (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))))
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2)))
(* -1 (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (pow (sqrt -1) 2))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* 1/2 (sqrt (/ ux maxCos))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt (/ ux maxCos)) (* -1/2 (sqrt (* maxCos ux)))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
(sqrt (* ux (+ 1 maxCos)))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* ux (+ 1 (* -1 maxCos)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))

Outputs
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(sqrt ux)
(sqrt.f32 ux)
(+ (sqrt ux) (* 1/2 (* maxCos (sqrt ux))))
(*.f32 (fma.f32 #s(literal 1/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 ux))
(+ (sqrt ux) (* maxCos (+ (* -1/8 (* maxCos (sqrt ux))) (* 1/2 (sqrt ux)))))
(fma.f32 (*.f32 (sqrt.f32 ux) maxCos) (fma.f32 #s(literal -1/8 binary32) maxCos #s(literal 1/2 binary32)) (sqrt.f32 ux))
(+ (sqrt ux) (* maxCos (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -1/8 (sqrt ux)) (* 1/16 (* maxCos (sqrt ux))))))))
(fma.f32 (*.f32 (sqrt.f32 ux) (fma.f32 (fma.f32 #s(literal 1/16 binary32) maxCos #s(literal -1/8 binary32)) maxCos #s(literal 1/2 binary32))) maxCos (sqrt.f32 ux))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
ux
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(sqrt ux)
(sqrt.f32 ux)
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (* -1/2 (sqrt ux)))))
(*.f32 (fma.f32 #s(literal -3/2 binary32) maxCos #s(literal 1 binary32)) (sqrt.f32 ux))
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (* 1/2 (sqrt ux))))))))
(fma.f32 (*.f32 (sqrt.f32 ux) (fma.f32 #s(literal 7/8 binary32) maxCos #s(literal -3/2 binary32))) maxCos (sqrt.f32 ux))
(+ (sqrt ux) (* maxCos (+ (* -1 (sqrt ux)) (+ (* -1/2 (sqrt ux)) (* maxCos (+ (* 3/8 (sqrt ux)) (+ (* 1/2 (sqrt ux)) (* maxCos (+ (* -3/8 (sqrt ux)) (* -5/16 (sqrt ux)))))))))))
(fma.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 ux) (.f32 (.f32 (sqrt.f32 ux) (fma.f32 #s(literal -11/16 binary32) maxCos #s(literal 7/8 binary32))) maxCos)) maxCos (sqrt.f32 ux))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (- (/ ux maxCos) ux))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(sqrt (* maxCos ux))
(sqrt.f32 (*.f32 maxCos ux))
(* maxCos (+ (sqrt (/ ux maxCos)) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux maxCos))) maxCos)
(* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux maxCos)))) maxCos)
(* maxCos (+ (sqrt (/ ux maxCos)) (+ (* -1/8 (sqrt (/ ux (pow maxCos 5)))) (+ (* 1/16 (sqrt (/ ux (pow maxCos 7)))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))) #s(literal 1/16 binary32) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 ux maxCos))))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(* -1 (sqrt (* maxCos ux)))
(neg.f32 (sqrt.f32 (*.f32 maxCos ux)))
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (* -1 (sqrt (/ ux maxCos)))))
(*.f32 (-.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) (sqrt.f32 (/.f32 ux maxCos))) maxCos)
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (* 1/2 (sqrt (/ ux (pow maxCos 3)))))))
(.f32 (-.f32 (.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (sqrt.f32 (/.f32 ux maxCos))) maxCos)
(* maxCos (+ (sqrt (/ ux (pow maxCos 3))) (+ (* -1 (sqrt (/ ux maxCos))) (+ (* -1 (sqrt (/ ux (pow maxCos 5)))) (* 1/2 (sqrt (/ ux (pow maxCos 3))))))))
(.f32 (-.f32 (-.f32 (.f32 #s(literal 3/2 binary32) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32))))) (sqrt.f32 (/.f32 ux maxCos))) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2)))
(sqrt.f32 (*.f32 maxCos ux))
(* -1 (* maxCos (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux maxCos))) maxCos)
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))))))
(*.f32 (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux maxCos)))) maxCos)
(* -1 (* maxCos (+ (* -1/8 (* (sqrt (/ ux (pow maxCos 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ ux (pow maxCos 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ ux (pow maxCos 3)))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))))
(*.f32 (fma.f32 #s(literal -1/16 binary32) (/.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 4 binary32))) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 5 binary32)))) #s(literal -1/8 binary32) (fma.f32 (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux maxCos))))) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(* -1 (* (sqrt (* maxCos ux)) (pow (sqrt -1) 2)))
(sqrt.f32 (*.f32 maxCos ux))
(* -1 (* maxCos (+ (* -1 (* (sqrt (/ ux (pow maxCos 3))) (pow (sqrt -1) 2))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(*.f32 (-.f32 (sqrt.f32 (/.f32 ux maxCos)) (sqrt.f32 (/.f32 ux (pow.f32 maxCos #s(literal 3 binary32))))) maxCos)
(* -1 (* maxCos (+ (* -1 (/ (+ (* 1/2 (sqrt (/ ux maxCos))) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(.f32 (.f32 (sqrt.f32 (/.f32 ux maxCos)) (-.f32 (/.f32 #s(literal -1/2 binary32) maxCos) #s(literal -1 binary32))) maxCos)
(* -1 (* maxCos (+ (* -1 (/ (+ (* -1 (/ (+ (sqrt (/ ux maxCos)) (* -1/2 (sqrt (* maxCos ux)))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2))) maxCos)) (* (sqrt (/ ux maxCos)) (pow (sqrt -1) 2)))))
(fma.f32 (sqrt.f32 (/.f32 ux maxCos)) maxCos (-.f32 (neg.f32 (sqrt.f32 (/.f32 ux maxCos))) (/.f32 (fma.f32 (sqrt.f32 (*.f32 maxCos ux)) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 ux maxCos))) maxCos)))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(sqrt (* ux (+ 1 maxCos)))
(sqrt.f32 (fma.f32 maxCos ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* (sqrt (/ ux (+ 1 maxCos))) (- 1 maxCos))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (sqrt.f32 (/.f32 ux (-.f32 maxCos #s(literal -1 binary32)))))
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (+ 1 (* -1 maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)))
(* -1 (* (sqrt (* ux (- (* -1 maxCos) 1))) (sqrt -1)))
(.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(.f32 (.f32 (sqrt.f32 (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(.f32 (.f32 (sqrt.f32 (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(.f32 (.f32 (sqrt.f32 (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))
(* (sqrt (/ ux (- (* -1 maxCos) 1))) (* (sqrt -1) (+ 1 (* -1 maxCos))))
(.f32 (.f32 (sqrt.f32 (/.f32 ux (-.f32 #s(literal -1 binary32) maxCos))) (-.f32 #s(literal 1 binary32) maxCos)) (sqrt.f32 #s(literal -1 binary32)))

rewrite179.0ms (3.3%)

Memory

9.5MiB live, 194.3MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	71
0	19	71
1	93	37
2	901	32
0	8562	32

Stop Event

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

Counts

5 → 643

Calls

Call 1

Inputs
(.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux))))
(/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux)))
(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(fma.f32 maxCos ux ux)
(/.f32 (-.f32 ux (*.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))

Outputs
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eval180.0ms (3.3%)

Memory: -5.1MiB live, 281.4MiB allocated
Compiler: Compiled 31 154 to 3 202 computations (89.7% saved)

prune16.0ms (0.3%)

Memory

28.0MiB live, 66.3MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	984	1	985
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	985	5	990

Accuracy

100.0%

Counts

990 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	99.9%	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	69.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 41 to 38 computations (7.3% saved)

simplify93.0ms (1.7%)

Memory

-34.3MiB live, 167.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	64	(neg.f32 (-.f32 ux (*.f32 ux maxCos)))
cost-diff	64	(.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos))))
cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
cost-diff	1056	(.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	84
0	21	98
1	51	91
2	165	83
3	961	53
4	4448	53
0	8596	52

Stop Event

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

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
#s(literal 1 binary32)
(.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
(.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos))))
(neg.f32 (fma.f32 ux maxCos ux))
(fma.f32 ux maxCos ux)
ux
maxCos
(neg.f32 (-.f32 ux (*.f32 ux maxCos)))
(-.f32 ux (*.f32 ux maxCos))
(*.f32 ux maxCos)
(/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))

Outputs
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
(-.f32 ux (*.f32 maxCos ux))
(.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos))))
(.f32 (.f32 (fma.f32 maxCos ux ux) ux) (-.f32 #s(literal 1 binary32) maxCos))
(neg.f32 (fma.f32 ux maxCos ux))
(*.f32 (-.f32 #s(literal -1 binary32) maxCos) ux)
(fma.f32 ux maxCos ux)
(fma.f32 maxCos ux ux)
ux
maxCos
(neg.f32 (-.f32 ux (*.f32 ux maxCos)))
(-.f32 (*.f32 maxCos ux) ux)
(-.f32 ux (*.f32 ux maxCos))
(-.f32 ux (*.f32 maxCos ux))
(*.f32 ux maxCos)
(*.f32 maxCos ux)
(/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))

localize43.0ms (0.8%)

Memory

39.0MiB live, 117.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
accuracy	0.046875	(/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))
accuracy	0.36328125	(.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
accuracy	1.153829818634403	(fma.f32 ux maxCos ux)

Samples

31.0ms	251×	0	valid
3.0ms	5×	1	valid

Compiler

Compiled 178 to 28 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 14.0ms (58.4% of total)

ival-mult: 4.0ms (16.7% of total)

ival-sub: 2.0ms (8.3% of total)

ival-neg: 2.0ms (8.3% of total)

ival-add: 1.0ms (4.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.7%)

Memory

-19.2MiB live, 19.6MiB allocated

Counts

6 → 144

Calls

Call 1

Inputs
#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())
#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())
#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())
#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())

Outputs
#s(alt ux (taylor 0 maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (+ ux (* -1 (* maxCos ux))) (taylor 0 maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (pow ux 2) (taylor 0 maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (* maxCos (+ (* -1 (pow ux 2)) (pow ux 2)))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2)) (taylor 0 maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 ux) (taylor 0 maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (* maxCos ux) ux) (taylor 0 maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (* maxCos ux) ux) (taylor 0 maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (- (* maxCos ux) ux) (taylor 0 maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt ux (taylor 0 maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (+ ux (* maxCos ux)) (taylor 0 maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ 1 ux) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ maxCos ux)) (/ 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (/ maxCos ux) (/ 1 ux))) (/ 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (- (* maxCos (+ (* -1 (/ maxCos ux)) (/ 1 ux))) (/ 1 ux))) (/ 1 ux)) (taylor 0 maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (* -1 (pow ux 2)))) (taylor inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2))))) (taylor inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (* -1 (/ ux maxCos)))) (taylor inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ ux (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- (/ 1 ux) (/ 1 (* maxCos ux))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (/ 1 (* maxCos ux))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (+ (/ 1 (* maxCos ux)) (/ 1 (* (pow maxCos 3) ux)))) maxCos) (taylor inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux))) (taylor -inf maxCos) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos)))) (taylor -inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2)))) (taylor -inf maxCos) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos)))) (taylor -inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos)))) (taylor -inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos)))) (taylor -inf maxCos) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos))))) (taylor -inf maxCos) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos)) (taylor -inf maxCos) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* ux (- maxCos 1))) (taylor 0 ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor 0 ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor 0 ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor 0 ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor 0 ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor 0 ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor 0 ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor 0 ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- maxCos 1))) (taylor inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) (* -1 (- maxCos 1)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) (* -1 (- maxCos 1)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (/ 1 ux) (* -1 (- maxCos 1)))) (taylor inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1)))) (taylor inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* ux (+ 1 maxCos)) (taylor inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ 1 (* ux (+ 1 maxCos))) (taylor inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) (patch (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))) #<representation binary32>) () ())) ())
#s(alt (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1)))) (taylor -inf ux) (#s(alt (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) (patch (-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) (patch (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (+ 1 (* -1 maxCos)))) (taylor -inf ux) (#s(alt (neg.f32 (-.f32 ux (.f32 ux maxCos))) (patch (neg.f32 (-.f32 ux (.f32 ux maxCos))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (* -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (fma.f32 ux maxCos ux) (patch (fma.f32 ux maxCos ux) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* ux (- (* -1 maxCos) 1))) (taylor -inf ux) (#s(alt (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) (patch (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	maxCos	@	inf	((* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux))) (- 1 (* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux)))) (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (neg (- ux (* ux maxCos))) (+ (* ux maxCos) ux) (/ 1 (+ (* ux maxCos) ux)))
2.0ms	ux	@	-inf	((* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux))) (- 1 (* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux)))) (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (neg (- ux (* ux maxCos))) (+ (* ux maxCos) ux) (/ 1 (+ (* ux maxCos) ux)))
1.0ms	ux	@	0	((* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux))) (- 1 (* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux)))) (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (neg (- ux (* ux maxCos))) (+ (* ux maxCos) ux) (/ 1 (+ (* ux maxCos) ux)))
1.0ms	ux	@	inf	((* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux))) (- 1 (* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux)))) (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (neg (- ux (* ux maxCos))) (+ (* ux maxCos) ux) (/ 1 (+ (* ux maxCos) ux)))
1.0ms	maxCos	@	0	((* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux))) (- 1 (* (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (/ 1 (+ (* ux maxCos) ux)))) (* (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (neg (- ux (* ux maxCos))) (+ (* ux maxCos) ux) (/ 1 (+ (* ux maxCos) ux)))

simplify165.0ms (3%)

Memory

-21.2MiB live, 143.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	1138
1	439	981
2	1339	941
3	4897	915
0	8207	862

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 142

Calls

Call 1

Inputs
ux
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(+ ux (* -1 (* maxCos ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(pow ux 2)
(+ (* -1 (* maxCos (+ (* -1 (pow ux 2)) (pow ux 2)))) (pow ux 2))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2))
(* -1 ux)
(- (* maxCos ux) ux)
(- (* maxCos ux) ux)
(- (* maxCos ux) ux)
ux
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(+ ux (* maxCos ux))
(/ 1 ux)
(+ (* -1 (/ maxCos ux)) (/ 1 ux))
(+ (* maxCos (- (/ maxCos ux) (/ 1 ux))) (/ 1 ux))
(+ (* maxCos (- (* maxCos (+ (* -1 (/ maxCos ux)) (/ 1 ux))) (/ 1 ux))) (/ 1 ux))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2)))))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(* maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(* maxCos (+ ux (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (- (/ 1 ux) (/ 1 (* maxCos ux))) maxCos)
(/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (/ 1 (* maxCos ux))) maxCos)
(/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (+ (/ 1 (* maxCos ux)) (/ 1 (* (pow maxCos 3) ux)))) maxCos)
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(* -1 (* (pow maxCos 2) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(/ 1 (* maxCos ux))
(* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
(* -1 (* ux (- maxCos 1)))
(* ux (- maxCos 1))
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (- maxCos 1))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(* ux (+ 1 maxCos))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(/ 1 (* ux (+ 1 maxCos)))
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(* -1 (* ux (- (* -1 maxCos) 1)))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/ -1 (* ux (- (* -1 maxCos) 1)))

Outputs
ux
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(+ ux (* -1 (* maxCos ux)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(- (+ 1 (* maxCos ux)) ux)
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(pow ux 2)
(*.f32 ux ux)
(+ (* -1 (* maxCos (+ (* -1 (pow ux 2)) (pow ux 2)))) (pow ux 2))
(*.f32 ux ux)
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(+ (* maxCos (+ (* -1 (* maxCos (pow ux 2))) (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))))) (pow ux 2))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 ux)
(neg.f32 ux)
(- (* maxCos ux) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(- (* maxCos ux) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(- (* maxCos ux) ux)
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
ux
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(+ ux (* maxCos ux))
(fma.f32 maxCos ux ux)
(/ 1 ux)
(/.f32 #s(literal 1 binary32) ux)
(+ (* -1 (/ maxCos ux)) (/ 1 ux))
(*.f32 (/.f32 #s(literal -1 binary32) ux) (-.f32 maxCos #s(literal 1 binary32)))
(+ (* maxCos (- (/ maxCos ux) (/ 1 ux))) (/ 1 ux))
(fma.f32 (/.f32 maxCos ux) (-.f32 maxCos #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))
(+ (* maxCos (- (* maxCos (+ (* -1 (/ maxCos ux)) (/ 1 ux))) (/ 1 ux))) (/ 1 ux))
(.f32 (fma.f32 maxCos maxCos #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) ux) (-.f32 maxCos #s(literal 1 binary32))))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos (+ (* -1 ux) (/ ux maxCos)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* maxCos (- (/ 1 maxCos) (+ (* -1 ux) (/ ux maxCos))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (* -1 (pow ux 2))))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2)))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (pow ux 2)) (pow ux 2)) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) (pow maxCos 2)))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* maxCos (+ ux (* -1 (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(* maxCos (+ ux (/ ux maxCos)))
(fma.f32 maxCos ux ux)
(/ 1 (* maxCos ux))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(/ (- (/ 1 ux) (/ 1 (* maxCos ux))) maxCos)
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (/ 1 (* maxCos ux))) maxCos)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos)) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(/ (- (+ (/ 1 ux) (/ 1 (* (pow maxCos 2) ux))) (+ (/ 1 (* maxCos ux)) (/ 1 (* (pow maxCos 3) ux)))) maxCos)
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos)) maxCos)) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(* -1 (* maxCos ux))
(*.f32 (neg.f32 ux) maxCos)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ ux maxCos)))))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* maxCos (- (* -1 (/ (- 1 ux) maxCos)) ux)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow maxCos 2) (pow ux 2)))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (+ (* -1 (/ (pow ux 2) maxCos)) (+ (* -1 (pow ux 2)) (/ (pow ux 2) maxCos))))
(.f32 (.f32 (*.f32 (neg.f32 maxCos) maxCos) ux) ux)
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (pow ux 2)) (pow ux 2))) (* -1 (/ (pow ux 2) maxCos))) maxCos)) (* -1 (pow ux 2))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* maxCos (+ (* -1 ux) (/ ux maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ ux maxCos)))))
(fma.f32 maxCos ux ux)
(/ 1 (* maxCos ux))
(/.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos))
(/.f32 (-.f32 (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos)) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* maxCos ux)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos)) (/ 1 ux)) maxCos))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) ux) (/.f32 (/.f32 #s(literal -1 binary32) ux) maxCos)) maxCos)) maxCos) (/.f32 #s(literal -1 binary32) ux)) maxCos)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(+ 1 (* ux (- maxCos 1)))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (* ux (- maxCos 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) (* -1 (- maxCos 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* (pow ux 2) (* (+ 1 maxCos) (- maxCos 1))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(* ux (+ 1 maxCos))
(fma.f32 maxCos ux ux)
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ 1 (* ux (+ 1 maxCos)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(* -1 (/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1)))
(*.f32 (-.f32 #s(literal 1 binary32) maxCos) ux)
(/ (* ux (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos)))) (- (* -1 maxCos) 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* ux (+ (/ 1 ux) (/ (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))) (- (* -1 maxCos) 1))))
(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* (pow ux 2) (* (+ 1 (* -1 maxCos)) (- 1 (* -1 maxCos))))
(.f32 (fma.f32 (neg.f32 maxCos) maxCos #s(literal 1 binary32)) (.f32 ux ux))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (+ 1 (* -1 maxCos))))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(* -1 (* ux (- (* -1 maxCos) 1)))
(fma.f32 maxCos ux ux)
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))
(/ -1 (* ux (- (* -1 maxCos) 1)))
(/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux))

rewrite208.0ms (3.8%)

Memory

1.3MiB live, 288.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	68
0	21	64
1	91	37
2	725	36
0	8966	35

Stop Event

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

Counts

6 → 1 160

Calls

Call 1

Inputs
(.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux)))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
(.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (.f32 ux maxCos))))
(neg.f32 (-.f32 ux (*.f32 ux maxCos)))
(fma.f32 ux maxCos ux)
(/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))

Outputs
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eval221.0ms (4.1%)

Memory: -17.3MiB live, 360.1MiB allocated
Compiler: Compiled 45 859 to 5 023 computations (89% saved)

prune24.0ms (0.4%)

Memory

3.7MiB live, 90.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 506	1	1 507
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	1 507	5	1 512

Accuracy

100.0%

Counts

1 512 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
	99.2%	(-.f32 #s(literal 1 binary32) (.f32 #s(approx ( (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	99.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	69.1%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 135 to 74 computations (45.2% saved)

regimes37.0ms (0.7%)

Memory

-9.9MiB live, 28.9MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(-.f32 #s(literal 1 binary32) (.f32 #s(approx ( (neg (+ (* ux maxCos) ux)) (neg (- ux (* ux maxCos)))) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
(-.f32 #s(literal 1 binary32) (.f32 (.f32 (neg.f32 (fma.f32 ux maxCos ux)) (neg.f32 (-.f32 ux (*.f32 ux maxCos)))) (/.f32 #s(literal 1 binary32) (fma.f32 ux maxCos ux))))
(-.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 maxCos ux ux) (sqrt.f32 (fma.f32 maxCos ux ux))) (/.f32 (-.f32 ux (.f32 maxCos ux)) (sqrt.f32 (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))

Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Calls

4 calls:

27.0ms	uy
3.0ms	ux
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	maxCos

Results

Accuracy	Segments	Branch
100.0%	1	`ux`
100.0%	1	`uy`
100.0%	1	`maxCos`
100.0%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes8.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Outputs
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Calls

4 calls:

2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	uy
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
99.9%	1	`ux`
99.9%	1	`uy`
99.9%	1	`maxCos`
99.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))

Calls

4 calls:

2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	uy
2.0ms	ux
2.0ms	maxCos

Results

Accuracy	Segments	Branch
99.3%	1	`ux`
99.3%	1	`uy`
99.3%	1	`maxCos`
99.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes30.0ms (0.6%)

Memory

-29.3MiB live, 10.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Calls

4 calls:

26.0ms	uy
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	ux
1.0ms	maxCos

Results

Accuracy	Segments	Branch
69.1%	1	`uy`
69.1%	1	`maxCos`
69.1%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
69.1%	1	`ux`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify43.0ms (0.8%)

Memory

5.0MiB live, 43.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	34
1	29	34
2	47	34
3	70	34
4	104	34
5	141	34
6	168	34
7	182	34
8	183	34

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Outputs
(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(+.f32 (-.f32 (*.f32 maxCos ux) ux) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

soundness634.0ms (11.7%)

Memory

33.4MiB live, 264.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12
0	39	250
1	110	250
2	306	250
3	848	250
4	2091	250
5	3292	250
6	4316	250
7	5345	250
8	6781	250
9	7325	250
10	7658	250
11	7962	250
0	8013	232

Stop Event

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

preprocess50.0ms (0.9%)

Memory: -14.2MiB live, 74.4MiB allocated
Remove: (abs uy)
Compiler: Compiled 96 to 78 computations (18.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze76.0ms (1.4%)

sample1.0s (18.5%)

explain58.0ms (1.1%)

preprocess61.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.3%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

simplify156.0ms (2.9%)

rewrite180.0ms (3.3%)

eval32.0ms (0.6%)

prune8.0ms (0.2%)

simplify479.0ms (8.8%)

localize71.0ms (1.3%)

series40.0ms (0.7%)

simplify211.0ms (3.9%)

rewrite239.0ms (4.4%)

eval311.0ms (5.7%)

prune68.0ms (1.3%)

simplify194.0ms (3.6%)

localize53.0ms (1%)

series13.0ms (0.2%)

simplify158.0ms (2.9%)

rewrite179.0ms (3.3%)

eval180.0ms (3.3%)

prune16.0ms (0.3%)

simplify93.0ms (1.7%)

localize43.0ms (0.8%)

series38.0ms (0.7%)

simplify165.0ms (3%)

rewrite208.0ms (3.8%)

eval221.0ms (4.1%)

prune24.0ms (0.4%)

regimes37.0ms (0.7%)

regimes8.0ms (0.2%)

regimes7.0ms (0.1%)

regimes30.0ms (0.6%)

simplify43.0ms (0.8%)

soundness634.0ms (11.7%)

preprocess50.0ms (0.9%)

end0.0ms (0%)

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