Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze79.0ms (1.7%)

Memory

34.1MiB live, 112.6MiB 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 (22.4%)

Memory

64.2MiB live, 1 392.4MiB allocated

Samples

688.0ms	8 193×	0	valid
7.0ms	63×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 490.0ms

ival-<=: 145.0ms (29.6% of total)

const: 143.0ms (29.2% of total)

ival-sub: 59.0ms (12% of total)

ival-mult: 53.0ms (10.8% of total)

ival-add: 46.0ms (9.4% of total)

ival-and: 31.0ms (6.3% of total)

exact: 8.0ms (1.6% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain64.0ms (1.4%)

Memory

-25.1MiB live, 92.1MiB 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

23.0ms	510×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-add: 3.0ms (31.5% of total)

ival-sub: 3.0ms (31.5% of total)

ival-mult: 3.0ms (31.5% 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 (1.3%)

Memory

26.4MiB live, 63.5MiB 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB 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 (0.4%)

Memory

-19.3MiB live, 17.9MiB 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

23.9MiB live, 23.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0	(*.f32 ux maxCos)
accuracy	0.01953125	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

11.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (42.7% of total)

ival-add: 1.0ms (21.3% of total)

ival-sub: 1.0ms (21.3% 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)

series5.0ms (0.1%)

Memory

7.3MiB live, 7.3MiB 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	ux	@	0	((+ (- 1 ux) (* ux maxCos)) (- 1 ux) (* ux maxCos))

simplify169.0ms (3.7%)

Memory

-23.5MiB live, 89.2MiB 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)

rewrite158.0ms (3.5%)

Memory

33.0MiB live, 184.1MiB 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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eval319.0ms (7%)

Memory: -5.3MiB live, 87.9MiB allocated
Compiler: Compiled 6 295 to 781 computations (87.6% saved)

prune12.0ms (0.3%)

Memory

-20.3MiB live, 22.3MiB 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
▶	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
▶	7.3%	(.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
▶	98.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	72.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 63 to 43 computations (31.7% saved)

simplify190.0ms (4.2%)

Memory

13.1MiB live, 205.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
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	(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
cost-diff	0	(/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
cost-diff	0	(.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
cost-diff	544	(/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
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: 1 (0.0ms)

Iter	Nodes	Cost
0	24	204
0	39	201
1	84	197
2	268	197
3	1159	197
4	2936	197
0	8258	197

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

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

localize83.0ms (1.8%)

Memory

-18.0MiB live, 103.6MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(*.f32 maxCos ux)
accuracy	0.017910009768442016	(-.f32 ux (*.f32 maxCos ux))
accuracy	0.021816259768442016	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.4616012695368841	(/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
accuracy	0.484375	(.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))
accuracy	0.5316200683790941	(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
accuracy	7.8570365102077	(fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.43512927984344696	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.718029399083372	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Samples

39.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 213 to 25 computations (88.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-mult: 6.0ms (22.1% of total)

ival-sub: 5.0ms (18.4% of total)

ival-pow: 5.0ms (18.4% of total)

ival-div: 4.0ms (14.8% of total)

ival-add: 4.0ms (14.8% of total)

ival-pow2: 3.0ms (11.1% 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)

series35.0ms (0.8%)

Memory

23.5MiB live, 61.4MiB allocated

Counts

12 → 264

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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())
#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.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 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())
#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 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 (pow (- 1 ux) 3) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 2 (* maxCos (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* maxCos (* (pow ux 2) (- 1 ux)))) (* 2 (* ux (pow (- 1 ux) 2))))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* 2 (* ux (pow (- 1 ux) 2))) (* maxCos (+ (* 2 (* (pow ux 2) (- 1 ux))) (* maxCos (pow ux 3)))))) (pow (- 1 ux) 3)) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (+ ux (* 2 ux)))) ux) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* 4 (/ (* maxCos (pow ux 2)) (- 1 ux))))))) ux) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* maxCos (+ (* 4 (/ (pow ux 2) (- 1 ux))) (* maxCos (- (+ (* 2 (/ (pow ux 3) (pow (- 1 ux) 2))) (/ (pow ux 3) (pow (- 1 ux) 2))) (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))))))))))) ux) (taylor 0 maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (/ 1 (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (/ 1 (pow (- 1 ux) 2)) (/ (* maxCos ux) (pow (- 1 ux) 3))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (/ ux (pow (- 1 ux) 3)) (/ (* (pow maxCos 2) (pow ux 3)) (pow (- 1 ux) 5)))) (/ 1 (pow (- 1 ux) 2))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* (pow maxCos 2) (- (/ (* maxCos (pow ux 4)) (pow (- 1 ux) 6)) (* -1 (/ (pow ux 3) (pow (- 1 ux) 5))))) (/ ux (pow (- 1 ux) 3)))) (/ 1 (pow (- 1 ux) 2))) (taylor 0 maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (- 1 ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (- (+ 1 (* maxCos ux)) ux) (taylor 0 maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.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 (pow (- 1 ux) 2) (taylor 0 maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2)) (taylor 0 maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) 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 (* (pow maxCos 3) (pow ux 3)) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (pow ux 3))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (pow ux 3)))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3))))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3)))))) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (* ux (pow (- 1 ux) 3))) (* ux (pow (- 1 ux) 3))) (* (pow maxCos 3) (pow ux 3)))) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 2))))) (taylor inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* (pow maxCos 2) (pow ux 2))) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (/ 1 (pow ux 2))) (pow maxCos 2)) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (/ 1 (pow ux 2))) (pow maxCos 2)) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 4) (* (pow maxCos 4) (pow ux 6))))) (+ (/ 1 (pow ux 2)) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (pow maxCos 2)) (taylor inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos))) (taylor inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.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 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))) (taylor inf maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2)))) (taylor inf maxCos) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) 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>) () ())) ())
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#s(alt (* -1 (* (pow maxCos 3) (+ (* -2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* 2 (/ (* ux (pow (- 1 ux) 2)) maxCos))) maxCos)) (* -1 (pow ux 3))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos)) (* 2 (* (pow ux 2) (- 1 ux)))) maxCos)) (* -1 (pow ux 3))))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos ux)) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (* -1 (- 1 ux))) maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (+ (* -4 (/ (pow (- 1 ux) 2) (* maxCos ux))) (+ (* -2 (- 1 ux)) (* -1 (- 1 ux)))) maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (+ (* -1 (- 1 ux)) (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (- 1 ux) 3) (pow ux 2))) (* -1 (/ (pow (- 1 ux) 3) (pow ux 2)))) (/ (pow (- 1 ux) 3) (pow ux 2))) maxCos)) (* 4 (/ (pow (- 1 ux) 2) ux))) maxCos)))) maxCos))))) (taylor -inf maxCos) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (/ -1 (* (pow maxCos 2) (pow ux 2))) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2)) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2)) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (* (pow (- 1 ux) 3) (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 3)))) (+ (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2)))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2)) (taylor -inf maxCos) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* maxCos ux) (taylor -inf maxCos) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
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#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>) () ())) ())
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#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>) () ())) ())
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#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 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
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#s(alt (* (pow ux 3) (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux))))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux))))) (/ 3 (pow ux 2)))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux)))))) (/ 3 (pow ux 2)))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (* ux (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2))) (+ 1 (pow maxCos 3)))) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3)))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2)))))) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2)))))))) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))) (* -1 (/ (- (+ maxCos (* 2 maxCos)) 4) (* (pow ux 3) (+ 1 (pow maxCos 3)))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ 1 (pow maxCos 3)))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2))) (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (+ 1 (pow maxCos 3)))))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* 3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2)))))))))) (taylor inf ux) (#s(alt (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) (patch (.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- maxCos 1) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) ux)) (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3))))) (pow ux 2)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (+ 1 (pow maxCos 3))))) (pow ux 2))) (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (- maxCos 1) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (/ 1 (* ux (+ 1 (pow maxCos 3)))))) (pow ux 2)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3)))) (/ 1 (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* -3 (/ (- maxCos 1) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* 3 (/ (+ (* -3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (+ 1 (pow maxCos 3))))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (- maxCos 1) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (+ (/ 1 (* ux (+ 1 (pow maxCos 3)))) (/ maxCos (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2)))))))))) (pow ux 2)) (taylor inf ux) (#s(alt (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (patch (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- (+ maxCos (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (patch (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- maxCos 1)) (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 (- (+ maxCos (/ 1 ux)) 1)) (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 (- (+ maxCos (/ 1 ux)) 1)) (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 (- (+ maxCos (/ 1 ux)) 1)) (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 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 1 maxCos)) (taylor inf ux) (#s(alt (-.f32 ux (.f32 maxCos ux)) (patch (-.f32 ux (.f32 maxCos ux)) #<representation binary32>) () ())) ())
#s(alt (* ux (- 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) (+ 1 (* maxCos (- maxCos 1)))) (taylor inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux)))) (taylor inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (* 3 (/ 1 ux)) 1)) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2))))) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 2))))) (taylor inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 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>) () ())) ())
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#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) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (taylor -inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux))))) (taylor -inf ux) (#s(alt (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (patch (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow ux 3)) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux))))) (taylor -inf ux) (#s(alt (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (patch (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) #<representation binary32>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	ux	@	-inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)))) (* (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))))) (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (+ (* maxCos ux) (- 1 ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
5.0ms	ux	@	inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)))) (* (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))))) (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (+ (* maxCos ux) (- 1 ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
4.0ms	maxCos	@	-inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)))) (* (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))))) (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (+ (* maxCos ux) (- 1 ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
3.0ms	maxCos	@	0	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)))) (* (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))))) (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (+ (* maxCos ux) (- 1 ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))
2.0ms	maxCos	@	inf	((+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)))) (* (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (/ (+ (* maxCos ux) (- 1 ux)) (/ 1 (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2))))) (/ (+ (* maxCos ux) (- 1 ux)) (- (pow (- 1 ux) 3) (pow (* maxCos ux) 3))) (+ (* maxCos ux) (- 1 ux)) (- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (* (* maxCos ux) (+ (* maxCos ux) (- 1 ux))) (pow (- 1 ux) 2)) (pow (- 1 ux) 3))

simplify212.0ms (4.7%)

Memory

-25.7MiB live, 270.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	731	5514
1	2489	5168
0	8246	4909

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

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)
(pow (- 1 ux) 3)
(+ (* 2 (* maxCos (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* 2 (* maxCos (* (pow ux 2) (- 1 ux)))) (* 2 (* ux (pow (- 1 ux) 2))))) (pow (- 1 ux) 3))
(+ (* maxCos (+ (* 2 (* ux (pow (- 1 ux) 2))) (* maxCos (+ (* 2 (* (pow ux 2) (- 1 ux))) (* maxCos (pow ux 3)))))) (pow (- 1 ux) 3))
(- 1 ux)
(- (+ 1 (* maxCos (+ ux (* 2 ux)))) ux)
(- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* 4 (/ (* maxCos (pow ux 2)) (- 1 ux))))))) ux)
(- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* maxCos (+ (* 4 (/ (pow ux 2) (- 1 ux))) (* maxCos (- (+ (* 2 (/ (pow ux 3) (pow (- 1 ux) 2))) (/ (pow ux 3) (pow (- 1 ux) 2))) (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))))))))))) ux)
(/ 1 (pow (- 1 ux) 2))
(+ (/ 1 (pow (- 1 ux) 2)) (/ (* maxCos ux) (pow (- 1 ux) 3)))
(+ (* maxCos (+ (/ ux (pow (- 1 ux) 3)) (/ (* (pow maxCos 2) (pow ux 3)) (pow (- 1 ux) 5)))) (/ 1 (pow (- 1 ux) 2)))
(+ (* maxCos (+ (* (pow maxCos 2) (- (/ (* maxCos (pow ux 4)) (pow (- 1 ux) 6)) (* -1 (/ (pow ux 3) (pow (- 1 ux) 5))))) (/ ux (pow (- 1 ux) 3)))) (/ 1 (pow (- 1 ux) 2)))
(- 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)
(pow (- 1 ux) 2)
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 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)))
(* (pow maxCos 3) (pow ux 3))
(* (pow maxCos 3) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (pow ux 3)))
(* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (pow ux 3))))
(* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))))
(* -1 (* maxCos ux))
(* maxCos (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))
(* maxCos (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3)))))))
(* maxCos (- (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (* ux (pow (- 1 ux) 3))) (* ux (pow (- 1 ux) 3))) (* (pow maxCos 3) (pow ux 3)))) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 2)))))
(/ -1 (* (pow maxCos 2) (pow ux 2)))
(/ (- (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (/ 1 (pow ux 2))) (pow maxCos 2))
(/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (/ 1 (pow ux 2))) (pow maxCos 2))
(/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 4) (* (pow maxCos 4) (pow ux 6))))) (+ (/ 1 (pow ux 2)) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (pow maxCos 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)))
(* -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) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 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)))))
(* (pow maxCos 3) (pow ux 3))
(* -1 (* (pow maxCos 3) (+ (* -2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* 2 (/ (* ux (pow (- 1 ux) 2)) maxCos))) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos)) (* 2 (* (pow ux 2) (- 1 ux)))) maxCos)) (* -1 (pow ux 3)))))
(* -1 (* maxCos ux))
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (* -1 (- 1 ux))) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -4 (/ (pow (- 1 ux) 2) (* maxCos ux))) (+ (* -2 (- 1 ux)) (* -1 (- 1 ux)))) maxCos)))))
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (+ (* -1 (- 1 ux)) (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (- 1 ux) 3) (pow ux 2))) (* -1 (/ (pow (- 1 ux) 3) (pow ux 2)))) (/ (pow (- 1 ux) 3) (pow ux 2))) maxCos)) (* 4 (/ (pow (- 1 ux) 2) ux))) maxCos)))) maxCos)))))
(/ -1 (* (pow maxCos 2) (pow ux 2)))
(/ (- (* -1 (/ (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2))
(/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2))
(/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (* (pow (- 1 ux) 3) (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 3)))) (+ (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2)))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 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)))))
(* -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) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 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 (- (* 2 maxCos) 3)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ 1 (+ (* maxCos (- maxCos 1)) (* (- maxCos 1) (- maxCos 2)))))) 3)))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* ux (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1))) (* (- maxCos 1) (- maxCos 2))))))) 3)))
1
(+ 1 (* ux (- (+ maxCos (* 2 maxCos)) 1)))
(+ 1 (* ux (- (+ maxCos (+ (* 2 maxCos) (* ux (- (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))))) 1)))
(+ 1 (* ux (- (+ maxCos (+ (* 2 maxCos) (* ux (- (+ (* maxCos (- maxCos 1)) (+ (* ux (- (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ (* -3 (- (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))) (+ (* -1 (+ 1 (pow maxCos 3))) (* 3 (- (+ maxCos (* 2 maxCos)) 1)))))) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))))) 1)))
1
(+ 1 (* ux (+ 2 maxCos)))
(+ 1 (* ux (+ 2 (+ maxCos (* -1 (* ux (+ 3 (* -3 (+ 2 maxCos)))))))))
(+ 1 (* ux (+ 2 (+ maxCos (* ux (- (* -1 (* ux (+ (* -1 (+ 1 (pow maxCos 3))) (+ (* 3 (+ 2 maxCos)) (* 3 (+ 3 (* -3 (+ 2 maxCos)))))))) (+ 3 (* -3 (+ 2 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)))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
1
(+ 1 (* ux (- maxCos 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
1
(+ 1 (* -3 ux))
(+ 1 (* ux (- (* 3 ux) 3)))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(* 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))
(* (pow ux 3) (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)))
(* (pow ux 3) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux)))))
(* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux))))) (/ 3 (pow ux 2))))
(* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux)))))) (/ 3 (pow ux 2))))
(* -1 (/ (* ux (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2))) (+ 1 (pow maxCos 3))))
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3)))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2))))))
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2))))))))
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))) (* -1 (/ (- (+ maxCos (* 2 maxCos)) 4) (* (pow ux 3) (+ 1 (pow maxCos 3)))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ 1 (pow maxCos 3)))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2))) (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (+ 1 (pow maxCos 3)))))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* 3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2))))))))))
(* -1 (/ (- maxCos 1) (* (pow ux 2) (+ 1 (pow maxCos 3)))))
(/ (+ (* -1 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) ux)) (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3))))) (pow ux 2))
(/ (- (+ (* -1 (/ (+ (* -3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (+ 1 (pow maxCos 3))))) (pow ux 2))) (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (- maxCos 1) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (/ 1 (* ux (+ 1 (pow maxCos 3)))))) (pow ux 2))
(/ (- (+ (* -1 (/ (- maxCos 1) (+ 1 (pow maxCos 3)))) (/ 1 (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* -3 (/ (- maxCos 1) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* 3 (/ (+ (* -3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (+ 1 (pow maxCos 3))))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (+ (* 3 (/ (- maxCos 1) (pow (+ 1 (pow maxCos 3)) 2))) (/ 1 (+ 1 (pow maxCos 3)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (- maxCos 1) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (+ (/ 1 (* ux (+ 1 (pow maxCos 3)))) (/ maxCos (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2)))))))))) (pow ux 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))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* ux (- 1 maxCos))
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* maxCos ux)
(* (pow ux 2) (+ 1 (* maxCos (- maxCos 1))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (/ maxCos ux))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(* (pow ux 2) (- (+ 1 (+ (* maxCos (- maxCos 1)) (+ (/ 1 (pow ux 2)) (/ maxCos ux)))) (* 2 (/ 1 ux))))
(* -1 (pow ux 3))
(* (pow ux 3) (- (* 3 (/ 1 ux)) 1))
(* (pow ux 3) (- (* 3 (/ 1 ux)) (+ 1 (/ 3 (pow ux 2)))))
(* (pow ux 3) (- (+ (* 3 (/ 1 ux)) (/ 1 (pow ux 3))) (+ 1 (/ 3 (pow ux 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 (* (pow ux 3) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* (+ 1 (* -1 maxCos)) (+ 2 (* -1 maxCos))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (+ (* -1 (/ (+ 3 (* -2 maxCos)) ux)) (* (+ 1 (* -1 maxCos)) (+ 2 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (* (pow ux 3) (+ (* -1 (/ (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (+ (* -1 (/ (- (+ 3 (* -2 maxCos)) (/ 1 ux)) ux)) (* (+ 1 (* -1 maxCos)) (+ 2 (* -1 maxCos)))))) ux)) (* (+ 1 (* -1 maxCos)) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))))))
(* -1 (/ (* ux (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))) (- 1 (* -1 (pow maxCos 3)))))
(* -1 (* ux (+ (* -1 (/ (- (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (- 1 (* -1 (pow maxCos 3)))))))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (+ (/ 1 (- 1 (* -1 (pow maxCos 3)))) (+ (/ (* (+ 2 (* -2 maxCos)) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 (pow maxCos 3))))))) (+ (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2))) (* 3 (/ (- (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3))))))) ux)) (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3)))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (- 1 (* -1 (pow maxCos 3)))))))
(* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (+ (* -1 (/ (- (+ (* -2 (/ maxCos (- 1 (* -1 (pow maxCos 3))))) (+ (* -1 (/ maxCos (- 1 (* -1 (pow maxCos 3))))) (* 4 (/ 1 (- 1 (* -1 (pow maxCos 3))))))) (+ (* 3 (/ (- (+ (* -1 (/ (* maxCos (+ 1 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (+ (/ 1 (- 1 (* -1 (pow maxCos 3)))) (+ (/ (* (+ 2 (* -2 maxCos)) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 (pow maxCos 3))))))) (+ (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2))) (* 3 (/ (- (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3))))))) (- 1 (* -1 (pow maxCos 3))))) (+ (* 3 (/ (- (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3))))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2))))) ux)) (+ (/ 1 (- 1 (* -1 (pow maxCos 3)))) (+ (/ (* (+ 2 (* -2 maxCos)) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (pow (+ 1 (* -1 maxCos)) 2) (- 1 (* -1 (pow maxCos 3)))))))) (+ (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2))) (* 3 (/ (- (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3))))))) ux)) (+ (/ (* (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))) (+ 2 (* -2 maxCos))) (- 1 (* -1 (pow maxCos 3)))) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 2 (* -1 maxCos))) (- 1 (* -1 (pow maxCos 3)))))) (* 3 (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ (* (pow (+ 1 (* -1 maxCos)) 2) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos)))))) (- 1 (* -1 (pow maxCos 3)))))))
(/ (+ 1 (* -1 maxCos)) (* (pow ux 2) (- 1 (* -1 (pow maxCos 3)))))
(/ (+ (* -1 (/ maxCos (- 1 (* -1 (pow maxCos 3))))) (+ (* -1 (/ (- (/ 1 (- 1 (* -1 (pow maxCos 3)))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ 1 (- 1 (* -1 (pow maxCos 3)))))) (pow ux 2))
(/ (+ (* -1 (/ maxCos (- 1 (* -1 (pow maxCos 3))))) (+ (* -1 (/ (- (+ (* 3 (/ (+ 1 (* -1 maxCos)) (* ux (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (+ (* 3 (/ (- (/ 1 (- 1 (* -1 (pow maxCos 3)))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (* ux (- 1 (* -1 (pow maxCos 3)))))) (/ 1 (- 1 (* -1 (pow maxCos 3)))))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ 1 (- 1 (* -1 (pow maxCos 3)))))) (pow ux 2))
(/ (+ (* -1 (/ maxCos (- 1 (* -1 (pow maxCos 3))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -3 (/ (+ (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2))) (* 3 (/ (- (/ 1 (- 1 (* -1 (pow maxCos 3)))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3)))))) (* ux (- 1 (* -1 (pow maxCos 3)))))) (+ (* -1 (/ maxCos (* ux (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (+ (* 3 (/ (- (/ 1 (- 1 (* -1 (pow maxCos 3)))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (* ux (- 1 (* -1 (pow maxCos 3)))))) (/ 1 (* ux (pow (- 1 (* -1 (pow maxCos 3))) 2)))))) (+ (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2))) (* 3 (/ (- (/ 1 (- 1 (* -1 (pow maxCos 3)))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) (- 1 (* -1 (pow maxCos 3))))))) ux)) (/ 1 (- 1 (* -1 (pow maxCos 3))))) (* 3 (/ (+ 1 (* -1 maxCos)) (pow (- 1 (* -1 (pow maxCos 3))) 2)))) ux)) (/ 1 (- 1 (* -1 (pow maxCos 3)))))) (pow ux 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))))
(* 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) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(* -1 (pow ux 3))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) 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)
(- 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 (- 1 ux) 3)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))
(+ (* 2 (* maxCos (* ux (pow (- 1 ux) 2)))) (pow (- 1 ux) 3))
(fma.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (* maxCos (* (pow ux 2) (- 1 ux)))) (* 2 (* ux (pow (- 1 ux) 2))))) (pow (- 1 ux) 3))
(fma.f32 (.f32 #s(literal 2 binary32) maxCos) (fma.f32 (.f32 maxCos (-.f32 #s(literal 1 binary32) ux)) (.f32 ux ux) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(+ (* maxCos (+ (* 2 (* ux (pow (- 1 ux) 2))) (* maxCos (+ (* 2 (* (pow ux 2) (- 1 ux))) (* maxCos (pow ux 3)))))) (pow (- 1 ux) 3))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux ux) (.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) maxCos (.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal 2 binary32))) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos (+ ux (* 2 ux)))) ux)
(fma.f32 (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) ux #s(literal 1 binary32))
(- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* 4 (/ (* maxCos (pow ux 2)) (- 1 ux))))))) ux)
(fma.f32 (fma.f32 (/.f32 (.f32 (.f32 ux ux) maxCos) (-.f32 #s(literal 1 binary32) ux)) #s(literal 4 binary32) (*.f32 #s(literal 3 binary32) ux)) maxCos (-.f32 #s(literal 1 binary32) ux))
(- (+ 1 (* maxCos (+ ux (+ (* 2 ux) (* maxCos (+ (* 4 (/ (pow ux 2) (- 1 ux))) (* maxCos (- (+ (* 2 (/ (pow ux 3) (pow (- 1 ux) 2))) (/ (pow ux 3) (pow (- 1 ux) 2))) (* -1 (/ (pow ux 3) (pow (- 1 ux) 2))))))))))) ux)
(-.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) #s(literal 4 binary32)) maxCos (/.f32 (.f32 #s(literal 4 binary32) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))) maxCos (.f32 #s(literal 3 binary32) ux)) maxCos #s(literal 1 binary32)) ux)
(/ 1 (pow (- 1 ux) 2))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (/ 1 (pow (- 1 ux) 2)) (/ (* maxCos ux) (pow (- 1 ux) 3)))
(fma.f32 maxCos (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (* maxCos (+ (/ ux (pow (- 1 ux) 3)) (/ (* (pow maxCos 2) (pow ux 3)) (pow (- 1 ux) 5)))) (/ 1 (pow (- 1 ux) 2)))
(fma.f32 (fma.f32 (*.f32 maxCos maxCos) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 5 binary32))) (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)))) maxCos (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(+ (* maxCos (+ (* (pow maxCos 2) (- (/ (* maxCos (pow ux 4)) (pow (- 1 ux) 6)) (* -1 (/ (pow ux 3) (pow (- 1 ux) 5))))) (/ ux (pow (- 1 ux) 3)))) (/ 1 (pow (- 1 ux) 2)))
(fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos (/.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 5 binary32)))) (fma.f32 maxCos (/.f32 ux (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(- 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)
(pow (- 1 ux) 2)
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))
(+ (* maxCos (* ux (- 1 ux))) (pow (- 1 ux) 2))
(*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(+ (* maxCos (+ (* maxCos (pow ux 2)) (* ux (- 1 ux)))) (pow (- 1 ux) 2))
(fma.f32 (fma.f32 (.f32 ux ux) maxCos (.f32 (-.f32 #s(literal 1 binary32) ux) ux)) maxCos (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 2) (- 1 ux)) maxCos)) (pow ux 3)))
(.f32 (fma.f32 (.f32 (*.f32 #s(literal 2 binary32) ux) ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (pow ux 3))))
(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (pow.f32 ux #s(literal 3 binary32))) (pow.f32 maxCos #s(literal 3 binary32)))
(* (pow maxCos 3) (+ (* 2 (/ (* ux (pow (- 1 ux) 2)) (pow maxCos 2))) (+ (* 2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (+ (/ (pow (- 1 ux) 3) (pow maxCos 3)) (pow ux 3)))))
(.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos) (/.f32 ux maxCos) (.f32 (*.f32 ux ux) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos))) (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 maxCos #s(literal 3 binary32)))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* maxCos (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))
(.f32 (neg.f32 (fma.f32 (/.f32 #s(literal 3 binary32) maxCos) (/.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal 3 binary32))) ux)) maxCos)
(* maxCos (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3)))))))
(.f32 (fma.f32 (/.f32 #s(literal -4 binary32) (.f32 maxCos maxCos)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (neg.f32 (fma.f32 (/.f32 #s(literal 3 binary32) maxCos) (/.f32 (*.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal 3 binary32))) ux))) maxCos)
(* maxCos (- (+ (* -4 (/ (pow (- 1 ux) 2) (* (pow maxCos 2) ux))) (+ (* -1 ux) (+ (* -1 (/ (+ (* 2 (* ux (pow (- 1 ux) 3))) (* ux (pow (- 1 ux) 3))) (* (pow maxCos 3) (pow ux 3)))) (* -1 (/ (+ (* 2 (* (pow ux 3) (- 1 ux))) (* (pow ux 3) (- 1 ux))) (* maxCos (pow ux 3))))))) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 2)))))
(.f32 (-.f32 (fma.f32 (/.f32 #s(literal -4 binary32) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos)) (fma.f32 #s(literal -1 binary32) (fma.f32 (/.f32 #s(literal 3 binary32) maxCos) (/.f32 (.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 ux #s(literal 3 binary32))) ux) (/.f32 (.f32 #s(literal -3 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) ux)) (.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32)))))) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (*.f32 ux ux))) maxCos)
(/ -1 (* (pow maxCos 2) (pow ux 2)))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (*.f32 maxCos maxCos) ux) ux))
(/ (- (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (/ 1 (pow ux 2))) (pow maxCos 2))
(/.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 maxCos maxCos))
(/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (/ 1 (pow ux 2))) (pow maxCos 2))
(/.f32 (-.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 maxCos maxCos))
(/ (- (+ (* -1 (/ (- 1 ux) (* maxCos (pow ux 3)))) (* -1 (/ (pow (- 1 ux) 4) (* (pow maxCos 4) (pow ux 6))))) (+ (/ 1 (pow ux 2)) (/ (pow (- 1 ux) 3) (* (pow maxCos 3) (pow ux 5))))) (pow maxCos 2))
(/.f32 (-.f32 (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) (.f32 (pow.f32 ux #s(literal 3 binary32)) maxCos)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 maxCos #s(literal 4 binary32))))) (+.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 maxCos #s(literal 3 binary32))) (pow.f32 ux #s(literal 5 binary32))) (/.f32 #s(literal 1 binary32) (.f32 ux ux)))) (.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos ux)
(*.f32 maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) maxCos)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(*.f32 (+.f32 ux (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) 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 maxCos maxCos) ux) ux)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(.f32 (.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (+ (/ (pow (- 1 ux) 2) (pow maxCos 2)) (pow ux 2))))
(.f32 (fma.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (*.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* (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) (+ (* -2 (/ (* (pow ux 2) (- 1 ux)) maxCos)) (* -1 (pow ux 3)))))
(.f32 (neg.f32 (pow.f32 maxCos #s(literal 3 binary32))) (-.f32 (.f32 (.f32 #s(literal -2 binary32) (.f32 ux ux)) (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos)) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* 2 (* (pow ux 2) (- 1 ux))) (* 2 (/ (* ux (pow (- 1 ux) 2)) maxCos))) maxCos)) (* -1 (pow ux 3)))))
(.f32 (pow.f32 maxCos #s(literal 3 binary32)) (+.f32 (/.f32 (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) ux) ux (/.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) maxCos))) maxCos) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow maxCos 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (* ux (pow (- 1 ux) 2))) (* -1 (/ (pow (- 1 ux) 3) maxCos))) maxCos)) (* 2 (* (pow ux 2) (- 1 ux)))) maxCos)) (* -1 (pow ux 3)))))
(.f32 (pow.f32 maxCos #s(literal 3 binary32)) (+.f32 (/.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux ux)) (/.f32 (-.f32 (.f32 #s(literal -2 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) maxCos)) maxCos)) maxCos) (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (* -1 (- 1 ux))) maxCos)))))
(.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -4 (/ (pow (- 1 ux) 2) (* maxCos ux))) (+ (* -2 (- 1 ux)) (* -1 (- 1 ux)))) maxCos)))))
(.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (fma.f32 (/.f32 #s(literal -4 binary32) maxCos) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32))) maxCos)))
(* -1 (* maxCos (+ ux (* -1 (/ (+ (* -2 (- 1 ux)) (+ (* -1 (- 1 ux)) (* -1 (/ (+ (* -1 (/ (- (+ (* -2 (/ (pow (- 1 ux) 3) (pow ux 2))) (* -1 (/ (pow (- 1 ux) 3) (pow ux 2)))) (/ (pow (- 1 ux) 3) (pow ux 2))) maxCos)) (* 4 (/ (pow (- 1 ux) 2) ux))) maxCos)))) maxCos)))))
(.f32 (neg.f32 maxCos) (-.f32 ux (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32) (/.f32 (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) ux) #s(literal 4 binary32) (/.f32 (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (*.f32 ux ux)) #s(literal -4 binary32)) (neg.f32 maxCos))) (neg.f32 maxCos))) maxCos)))
(/ -1 (* (pow maxCos 2) (pow ux 2)))
(/.f32 #s(literal -1 binary32) (.f32 (.f32 (*.f32 maxCos maxCos) ux) ux))
(/ (- (* -1 (/ (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2))
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (neg.f32 maxCos)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 maxCos maxCos))
(/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2))
(/.f32 (-.f32 (/.f32 (-.f32 (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 ux #s(literal 5 binary32)) maxCos) maxCos)) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (neg.f32 maxCos)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (*.f32 maxCos maxCos))
(/ (- (* -1 (/ (- (+ (/ 1 (pow ux 3)) (/ (* (pow (- 1 ux) 3) (- (/ 1 (pow ux 3)) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 3)))) (+ (* -1 (/ (pow (- 1 ux) 3) (* (pow maxCos 2) (pow ux 5)))) (/ 1 (pow ux 2)))) maxCos)) (/ 1 (pow ux 2))) (pow maxCos 2))
(/.f32 (-.f32 (/.f32 (-.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (pow.f32 maxCos #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (.f32 (.f32 (pow.f32 ux #s(literal 5 binary32)) maxCos) maxCos)))) (neg.f32 maxCos)) (/.f32 #s(literal 1 binary32) (.f32 ux ux))) (.f32 maxCos maxCos))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* maxCos ux)
(*.f32 maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(*.f32 (neg.f32 maxCos) (-.f32 (/.f32 (+.f32 #s(literal -1 binary32) ux) maxCos) ux))
(* -1 (* maxCos ux))
(*.f32 (neg.f32 maxCos) ux)
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 ux maxCos) #s(literal -1 binary32) ux))
(* -1 (* maxCos (- (* -1 (/ ux maxCos)) (* -1 ux))))
(*.f32 (neg.f32 maxCos) (fma.f32 (/.f32 ux maxCos) #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)
(* (pow maxCos 2) (pow ux 2))
(.f32 (.f32 (*.f32 maxCos maxCos) ux) ux)
(* (pow maxCos 2) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))
(.f32 (.f32 ux (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) maxCos) ux)) (*.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (+.f32 #s(literal -1 binary32) ux) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (.f32 maxCos maxCos))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* -1 (/ (pow (- 1 ux) 2) maxCos))) maxCos)) (pow ux 2)))
(.f32 (-.f32 (.f32 ux ux) (/.f32 (-.f32 (.f32 (+.f32 #s(literal -1 binary32) ux) ux) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) maxCos)) maxCos)) (.f32 maxCos maxCos))
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 (- (* 2 maxCos) 3)))
(fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ 1 (+ (* maxCos (- maxCos 1)) (* (- maxCos 1) (- maxCos 2)))))) 3)))
(fma.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (+.f32 (-.f32 maxCos #s(literal 2 binary32)) maxCos) #s(literal 1 binary32)) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -3 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ (* 2 maxCos) (* ux (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* ux (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1))) (* (- maxCos 1) (- maxCos 2))))))) 3)))
(fma.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux maxCos) #s(literal 2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) ux (fma.f32 #s(literal 2 binary32) maxCos #s(literal -3 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (- (+ maxCos (* 2 maxCos)) 1)))
(fma.f32 (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (+ (* 2 maxCos) (* ux (- (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))))) 1)))
(fma.f32 (fma.f32 #s(literal 3 binary32) maxCos (fma.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) #s(literal 2 binary32))) ux #s(literal -1 binary32))) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (+ (* 2 maxCos) (* ux (- (+ (* maxCos (- maxCos 1)) (+ (* ux (- (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ (* -3 (- (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))) (+ (* -1 (+ 1 (pow maxCos 3))) (* 3 (- (+ maxCos (* 2 maxCos)) 1)))))) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ 2 (* -3 (- (+ maxCos (* 2 maxCos)) 1))))))) 1)))
(fma.f32 (fma.f32 #s(literal 3 binary32) maxCos (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (*.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (-.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)))) (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal -3 binary32) (fma.f32 (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) #s(literal 3 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))))) ux (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))))) (fma.f32 #s(literal -3 binary32) (fma.f32 #s(literal 3 binary32) maxCos #s(literal -1 binary32)) #s(literal 2 binary32))) ux #s(literal -1 binary32))) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* ux (+ 2 maxCos)))
(fma.f32 (+.f32 #s(literal 2 binary32) maxCos) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 (+ maxCos (* -1 (* ux (+ 3 (* -3 (+ 2 maxCos)))))))))
(fma.f32 (-.f32 (+.f32 #s(literal 2 binary32) maxCos) (.f32 (+.f32 #s(literal -3 binary32) (.f32 maxCos #s(literal -3 binary32))) ux)) ux #s(literal 1 binary32))
(+ 1 (* ux (+ 2 (+ maxCos (* ux (- (* -1 (* ux (+ (* -1 (+ 1 (pow maxCos 3))) (+ (* 3 (+ 2 maxCos)) (* 3 (+ 3 (* -3 (+ 2 maxCos)))))))) (+ 3 (* -3 (+ 2 maxCos)))))))))
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) (+.f32 (+.f32 #s(literal -3 binary32) (.f32 maxCos #s(literal -3 binary32))) (+.f32 #s(literal 2 binary32) maxCos)) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) ux (+.f32 #s(literal -3 binary32) (.f32 maxCos #s(literal -3 binary32))))) ux (+.f32 #s(literal 2 binary32) maxCos)) ux #s(literal 1 binary32))
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)
(* 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)
1
#s(literal 1 binary32)
(+ 1 (* ux (- maxCos 2)))
(fma.f32 (-.f32 maxCos #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* maxCos (- maxCos 1))))) 2)))
(fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux maxCos) #s(literal 2 binary32)) ux #s(literal 1 binary32))
1
#s(literal 1 binary32)
(+ 1 (* -3 ux))
(fma.f32 #s(literal -3 binary32) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* 3 ux) 3)))
(fma.f32 (fma.f32 #s(literal 3 binary32) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(+ 1 (* ux (- (* ux (+ 3 (* -1 ux))) 3)))
(fma.f32 (fma.f32 (-.f32 #s(literal 3 binary32) ux) ux #s(literal -3 binary32)) ux #s(literal 1 binary32))
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- maxCos 1))
(*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* ux (- (+ maxCos (/ 1 ux)) 1))
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos) #s(literal 1 binary32)) ux)
(* -1 ux)
(neg.f32 ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* ux (- (/ 1 ux) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(* (pow ux 3) (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)))
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(* (pow ux 3) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux)))))
(*.f32 (fma.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (-.f32 maxCos #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) (/.f32 (-.f32 maxCos #s(literal 2 binary32)) ux) (fma.f32 maxCos (/.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) (/.f32 #s(literal 1 binary32) ux)))) (pow.f32 ux #s(literal 3 binary32)))
(* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux))))) (/ 3 (pow ux 2))))
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(* (pow ux 3) (- (+ (* 2 (/ maxCos (pow ux 2))) (+ (* (+ 1 (* maxCos (- maxCos 1))) (- maxCos 1)) (+ (/ 1 ux) (+ (/ 1 (pow ux 3)) (+ (/ (* maxCos (- maxCos 1)) ux) (/ (* (- maxCos 1) (- maxCos 2)) ux)))))) (/ 3 (pow ux 2))))
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(* -1 (/ (* ux (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2))) (+ 1 (pow maxCos 3))))
(/.f32 (.f32 (.f32 ux (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32))))
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3)))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2))))))
(.f32 (+.f32 (-.f32 (/.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux))) (.f32 (*.f32 #s(literal -3 binary32) (/.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux)) (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) ux)
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2))))))))
(.f32 (-.f32 (-.f32 (-.f32 (/.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (+.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) ux))) (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux))) (fma.f32 #s(literal -3 binary32) (fma.f32 (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 ux ux)) (/.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) (pow.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (-.f32 (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (.f32 (.f32 #s(literal 3 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) ux))) (.f32 (*.f32 #s(literal 3 binary32) (/.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)) ux)) (/.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) #s(literal 2 binary32)))))) ux)
(* ux (- (+ (* -1 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (+ 1 (pow maxCos 3)))) (+ (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (* ux (+ 1 (pow maxCos 3))))) (* -1 (/ (- (+ maxCos (* 2 maxCos)) 4) (* (pow ux 3) (+ 1 (pow maxCos 3)))))))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 2) (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* -3 (/ (- (* -1 (/ (+ 1 (+ (* maxCos (- maxCos 1)) (+ (* (- maxCos 2) (- (* 2 maxCos) 2)) (pow (- maxCos 1) 2)))) (+ 1 (pow maxCos 3)))) (+ (* -3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2))) (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (+ 1 (pow maxCos 3)))))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (+ (* -3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 2) (+ 1 (pow maxCos 3))))) (+ (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* ux (pow (+ 1 (pow maxCos 3)) 2)))) (+ (* 3 (/ (- (* -1 (/ (+ (* (+ 1 (* maxCos (- maxCos 1))) (- (* 2 maxCos) 2)) (* (pow (- maxCos 1) 2) (- maxCos 2))) (+ 1 (pow maxCos 3)))) (* 3 (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (pow (+ 1 (pow maxCos 3)) 2)))) (* (pow ux 3) (+ 1 (pow maxCos 3))))) (/ (* (+ 1 (* maxCos (- maxCos 1))) (pow (- maxCos 1) 2)) (* (pow ux 3) (pow (+ 1 (pow maxCos 3)) 2))))))))))
(.f32 (-.f32 (-.f32 (-.f32 (-.f32 (/.f32 (/.f32 (fma.f32 #s(literal 3 binary32) maxCos #s(literal -4 binary32)) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 maxCos #s(literal 3 binary32)))) (/.f32 (fma.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32)))) (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux))) (/.f32 (+.f32 (fma.f32 (fma.f32 #s(literal 2 binary32) maxCos #s(literal -2 binary32)) (-.f32 maxCos #s(literal 2 binary32)) (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) maxCos #s(literal 1 binary32))) (.f32 (fma.f32 (pow.f32 maxCos #s(literal 3 binary32)) ux ux) ux))) (/.f32 (.f32 (pow.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 (-.f32 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(*.f32 (-.f32 #s(literal 1 binary32) maxCos) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 ux))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(*.f32 (-.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) ux) maxCos)) (neg.f32 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) (+ 1 (* -1 (* maxCos (+ 1 (* -1 maxCos))))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) ux) ux)
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (+ 2 (* -1 maxCos)) ux)))))
(.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) (/.f32 (-.f32 #s(literal 2 binary32) maxCos) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* (pow ux 2) (+ 1 (+ (* -1 (* maxCos (+ 1 (* -1 maxCos)))) (* -1 (/ (- (+ 2 (* -1 maxCos)) (/ 1 ux)) ux)))))
(.f32 (-.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) maxCos) maxCos)) (/.f32 (-.f32 (-.f32 #s(literal 2 binary32) maxCos) (/.f32 #s(literal 1 binary32) ux)) ux)) (*.f32 ux ux))
(* -1 (pow ux 3))
(neg.f32 (pow.f32 ux #s(literal 3 binary32)))
(* -1 (* (pow ux 3) (- 1 (* 3 (/ 1 ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 ux))) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) ux)) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))
(* -1 (* (pow ux 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 ux)) ux))) ux)))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)) ux)) (neg.f32 (pow.f32 ux #s(literal 3 binary32))))

rewrite289.0ms (6.3%)

Memory

2.7MiB live, 191.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	149
0	39	146
1	204	117
2	2053	117
0	8533	116

Stop Event

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

Counts

12 → 958

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

Outputs
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eval384.0ms (8.4%)

Memory: 20.6MiB live, 486.3MiB allocated
Compiler: Compiled 94 697 to 5 949 computations (93.7% saved)

prune86.0ms (1.9%)

Memory

12.6MiB live, 90.4MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 801	1	1 802
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	1 802	5	1 807

Accuracy

100.0%

Counts

1 807 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	98.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
✓	72.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 32 to 35 computations (-9.4% saved)

simplify259.0ms (5.7%)

Memory

-6.7MiB live, 222.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 ux ux)
cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
cost-diff	768	(.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	48
0	17	48
1	33	44
2	64	44
3	130	44
4	315	44
5	540	44
6	896	32
7	1632	32
8	3171	32
9	6757	32
0	8254	31

Stop Event

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

Calls

Call 1

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

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

localize38.0ms (0.8%)

Memory

9.2MiB live, 44.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy	0.12109375	(.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))))
accuracy	0.37109375	(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy	0.42731677984344696	#s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))

Samples

18.0ms	253×	0	valid
1.0ms	3×	5	exit

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 4.0ms (33.1% of total)

ival-sub: 3.0ms (24.8% of total)

ival-div: 2.0ms (16.6% of total)

ival-add: 2.0ms (16.6% 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)

series5.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

Calls

6 calls:

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

simplify148.0ms (3.2%)

Memory

-10.5MiB live, 124.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	383
1	198	366
2	504	362
3	1467	360
4	4095	360
5	6951	360
0	8160	340

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 72

Calls

Call 1

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

rewrite195.0ms (4.3%)

Memory

32.4MiB live, 340.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
0	17	27
1	85	27
2	699	27
0	8317	26

Stop Event

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

Counts

5 → 342

Calls

Call 1

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

Outputs
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eval41.0ms (0.9%)

Memory: -6.0MiB live, 113.3MiB allocated
Compiler: Compiled 7 893 to 1 255 computations (84.1% saved)

prune34.0ms (0.8%)

Memory

-6.3MiB live, 31.8MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	414	0	414
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	414	5	419

Accuracy

100.0%

Counts

419 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
✓	98.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
✓	72.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 107 to 65 computations (39.3% saved)

regimes42.0ms (0.9%)

Memory

7.1MiB live, 46.1MiB allocated

Counts

6 → 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)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))))

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

Calls

4 calls:

34.0ms	maxCos
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	uy
3.0ms	ux

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)

regimes9.0ms (0.2%)

Memory

-19.0MiB live, 19.0MiB 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:

3.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	maxCos
2.0ms	ux

Results

Accuracy	Segments	Branch
98.6%	1	`ux`
98.6%	1	`uy`
98.6%	1	`maxCos`
98.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB 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:

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

Results

Accuracy	Segments	Branch
72.8%	1	`ux`
72.8%	1	`uy`
72.8%	1	`maxCos`
72.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify62.0ms (1.4%)

Memory

2.9MiB live, 93.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	18	27
2	22	27
3	24	27
4	25	27

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.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 (-.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))

soundness505.0ms (11.1%)

Memory

-26.5MiB live, 91.7MiB allocated

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×	done
1×	iter limit
1×	node limit

Compiler

Compiled 17 to 18 computations (-5.9% saved)

preprocess22.0ms (0.5%)

Memory: 13.0MiB live, 50.7MiB allocated
Remove: (abs uy)
Compiler: Compiled 68 to 60 computations (11.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze79.0ms (1.7%)

sample1.0s (22.4%)

explain64.0ms (1.4%)

preprocess61.0ms (1.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.4%)

localize15.0ms (0.3%)

series5.0ms (0.1%)

simplify169.0ms (3.7%)

rewrite158.0ms (3.5%)

eval319.0ms (7%)

prune12.0ms (0.3%)

simplify190.0ms (4.2%)

localize83.0ms (1.8%)

series35.0ms (0.8%)

simplify212.0ms (4.7%)

rewrite289.0ms (6.3%)

eval384.0ms (8.4%)

prune86.0ms (1.9%)

simplify259.0ms (5.7%)

localize38.0ms (0.8%)

series5.0ms (0.1%)

simplify148.0ms (3.2%)

rewrite195.0ms (4.3%)

eval41.0ms (0.9%)

prune34.0ms (0.8%)

regimes42.0ms (0.9%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

simplify62.0ms (1.4%)

soundness505.0ms (11.1%)

preprocess22.0ms (0.5%)

end0.0ms (0%)

Profiling