Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze145.0ms (2.9%)

Memory

-4.3MiB live, 114.2MiB 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)

sample1.2s (24.2%)

Memory

88.4MiB live, 1 377.5MiB allocated

Samples

900.0ms	8 192×	0	valid
7.0ms	64×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 412.0ms

const: 126.0ms (30.6% of total)

ival-<=: 109.0ms (26.4% of total)

ival-mult: 53.0ms (12.9% of total)

ival-add: 45.0ms (10.9% of total)

ival-sub: 40.0ms (9.7% of total)

ival-and: 28.0ms (6.8% of total)

exact: 7.0ms (1.7% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain58.0ms (1.1%)

Memory

-21.4MiB live, 91.1MiB 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

20.0ms	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: 9.0ms

ival-mult: 3.0ms (35.2% of total)

ival-add: 2.0ms (23.4% of total)

ival-sub: 2.0ms (23.4% 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)

preprocess62.0ms (1.2%)

Memory

23.7MiB live, 64.3MiB allocated

Algorithm

1×	egg-herbie

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
348×	`sub-neg`
248×	`cancel-sign-sub-inv`
204×	`associate-+l-`

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)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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

-18.2MiB live, 19.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

384×	`lower-fma.f64`
384×	`lower-fma.f32`
160×	`lower-*.f64`
158×	`lower-*.f32`
120×	`lower-+.f64`

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

localize14.0ms (0.3%)

Memory

23.1MiB live, 23.1MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms	255×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-add: 1.0ms (23.6% of total)

ival-sub: 1.0ms (23.6% of total)

ival-mult: 1.0ms (23.6% 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)

series4.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify169.0ms (3.3%)

Memory

-19.1MiB live, 130.1MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
2 146×	`div-sub`
2 012×	`lower-*.f64`
2 012×	`lower-*.f32`

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)

rewrite170.0ms (3.4%)

Memory

-7.6MiB live, 192.9MiB allocated

Rules

5 750×	`lower-fma.f64`
5 750×	`lower-fma.f32`
4 062×	`lower-*.f64`
4 060×	`lower-*.f32`
2 014×	`lower-/.f64`

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
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32)))) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))) (neg.f32 (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 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (*.f32 (fma.f32 ux ux ux) maxCos)))
(.f32 (/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)))) (fma.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 (.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 4 binary32))))
(*.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.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)))) (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 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))))
(.f32 (/.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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (*.f32 maxCos ux) #s(literal 3 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)))
(.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (-.f32 ux (.f32 maxCos ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux (*.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
(*.f32 (neg.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (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 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (fma.f32 maxCos 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 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (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)) (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 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 #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 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 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)))))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32)) (pow.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (/.f32 (pow.f32 (fma.f32 maxCos ux (-.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 #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 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (+.f32 (pow.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 4 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 6 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))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))))
(/.f32 (.f32 (+.f32 (pow.f32 (.f32 maxCos ux) #s(literal 9 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 9 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))))) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 6 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 6 binary32))) (pow.f32 (*.f32 (fma.f32 ux ux ux) maxCos) #s(literal 3 binary32))))
(/.f32 (.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32))) #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 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (pow.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32))) (+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 ux (-.f32 #s(literal -1 binary32) maxCos)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 ux (-.f32 #s(literal -1 binary32) maxCos))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (+.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 ux ux)) (-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) (neg.f32 ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux (neg.f32 ux)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (neg.f32 ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) #s(literal 2 binary32)) (fma.f32 ux ux (*.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux))))
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(/.f32 (-.f32 (*.f32 ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)) (.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -3 binary32)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -2 binary32)) (+.f32 (pow.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))))
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)) (.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -3 binary32)))) (+.f32 (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal -2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) #s(literal 2 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (.f32 ux ux))) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 (fma.f32 ux ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) #s(literal 1 binary32)) (.f32 (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (pow.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (log1p.f32 ux))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (neg.f32 ux))
(-.f32 #s(literal 1 binary32) ux)
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 ux ux ux) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 ux ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (+.f32 (fma.f32 ux ux (pow.f32 ux #s(literal 4 binary32))) #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (+.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (-.f32 #s(literal 1 binary32) ux) (neg.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal -1 binary32) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 ux ux))) (neg.f32 (.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux #s(literal 1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (neg.f32 (*.f32 ux (/.f32 ux (-.f32 #s(literal 1 binary32) ux)))))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) ux)
(exp.f32 (*.f32 (log1p.f32 ux) #s(literal 1 binary32)))
(exp.f32 (*.f32 (neg.f32 (log1p.f32 ux)) #s(literal -1 binary32)))
(exp.f32 (log1p.f32 ux))
(neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(*.f32 (exp.f32 (log.f32 maxCos)) ux)
(.f32 (.f32 maxCos #s(literal 1 binary32)) ux)
(.f32 (.f32 maxCos ux) #s(literal 1 binary32))
(*.f32 maxCos ux)
(*.f32 ux (exp.f32 (log.f32 maxCos)))
(.f32 ux (.f32 #s(literal 1 binary32) maxCos))
(*.f32 ux maxCos)
(.f32 #s(literal 1 binary32) (.f32 maxCos ux))
(pow.f32 (*.f32 maxCos ux) #s(literal 1 binary32))
(exp.f32 (.f32 (log.f32 (.f32 maxCos ux)) #s(literal 1 binary32)))
(exp.f32 (log.f32 (*.f32 maxCos ux)))

eval31.0ms (0.6%)

Memory: 36.4MiB live, 72.3MiB allocated
Compiler: Compiled 6 295 to 781 computations (87.6% saved)

prune54.0ms (1.1%)

Memory

-5.7MiB live, 109.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	1	0	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
▶	63.2%	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
▶	97.6%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
▶	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	97.6%	#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 86 to 76 computations (11.6% saved)

simplify184.0ms (3.6%)

Memory

0.2MiB live, 188.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

14 266×	`lower-fma.f64`
14 262×	`lower-fma.f32`
3 768×	`lower-*.f64`
3 764×	`lower-*.f32`
3 314×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
0	38	133
1	81	133
2	191	133
3	863	133
4	3269	133
0	8153	131

Stop Event

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

Calls

Call 1

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

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

localize91.0ms (1.8%)

Memory

-11.4MiB live, 112.9MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.140625	(pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32))
accuracy	0.20740131837909412	(pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))
accuracy	0.36328125	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 maxCos ux ux) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 maxCos ux ux) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)))))
accuracy	17.00908037657215	(fma.f32 maxCos ux ux)
accuracy	0.060878759768442016	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
accuracy	0.6545229132382595	(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.7638073738511332	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.692549266291529	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0	(*.f32 maxCos ux)
accuracy	0.0078125	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.04452634254663357	(-.f32 ux (*.f32 maxCos ux))

Samples

68.0ms	252×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 154 to 24 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-add: 16.0ms (49.8% of total)

ival-sub: 5.0ms (15.6% of total)

ival-mult: 4.0ms (12.4% of total)

ival-pow: 3.0ms (9.3% of total)

ival-pow2: 2.0ms (6.2% of total)

ival-div: 1.0ms (3.1% 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)

series32.0ms (0.6%)

Memory

14.1MiB live, 51.3MiB allocated

Counts

15 → 348

Calls

Call 1

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

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

Calls

6 calls:

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

simplify186.0ms (3.7%)

Memory

-12.6MiB live, 246.0MiB allocated

Algorithm

1×	egg-herbie

Rules

10 226×	`lower-fma.f64`
10 226×	`lower-fma.f32`
4 676×	`lower-*.f64`
4 676×	`lower-*.f32`
3 584×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	3979
1	1327	3790
2	4786	3769
0	8217	3471

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 345

Calls

Call 1

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

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

rewrite262.0ms (5.2%)

Memory

29.9MiB live, 250.6MiB allocated

Rules

4 578×	`lower-*.f64`
4 574×	`lower-*.f32`
4 392×	`lower-/.f64`
4 390×	`lower-/.f32`
3 800×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	122
0	38	111
1	207	111
2	1708	111
0	8589	109

Stop Event

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

Counts

15 → 947

Calls

Call 1

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

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

eval273.0ms (5.4%)

Memory: -6.4MiB live, 349.7MiB allocated
Compiler: Compiled 51 448 to 4 206 computations (91.8% saved)

prune186.0ms (3.7%)

Memory

9.2MiB live, 276.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	1 447	1	1 448
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	1 448	5	1 453

Accuracy

100.0%

Counts

1 453 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	96.6%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux))))))
✓	97.6%	#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 36 to 38 computations (-5.6% saved)

simplify57.0ms (1.1%)

Memory

3.3MiB live, 45.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux)))))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux))))))
cost-diff	128	(-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux)))
cost-diff	160	(*.f32 #s(literal 1 binary32) (neg.f32 ux))

Rules

1 024×	`lower-fma.f64`
1 024×	`lower-fma.f32`
504×	`lower-*.f64`
500×	`lower-*.f32`
280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	78
0	24	68
1	56	64
2	120	64
3	302	64
4	760	64
5	1516	64
6	2113	64
7	2157	64
8	2197	64
9	2263	64
10	2263	64
0	2263	59

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize49.0ms (1%)

Memory

-11.0MiB live, 63.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux))))
accuracy	0.03125	(-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux)))
accuracy	0.37109375	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux)))))
accuracy	0.7638073738511332	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 ux ux) (.f32 #s(literal 1 binary32) (neg.f32 ux))))))

Samples

26.0ms	252×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 63 to 18 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-sub: 5.0ms (28.7% of total)

ival-mult: 4.0ms (22.9% of total)

ival-pow: 3.0ms (17.2% of total)

ival-add: 2.0ms (11.5% of total)

ival-div: 1.0ms (5.7% of total)

ival-neg: 1.0ms (5.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

5 → 72

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	ux	@	inf	((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))
1.0ms	ux	@	-inf	((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))
1.0ms	ux	@	0	((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))
0.0ms	maxCos	@	-inf	((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))
0.0ms	maxCos	@	0	((* 1 (neg ux)) (- (* ux ux) (* 1 (neg ux))) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ 1 (- (* ux ux) (* 1 (neg ux))))) (+ 1 (- (* ux ux) (* 1 (neg ux)))))

simplify136.0ms (2.7%)

Memory

10.4MiB live, 100.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 604×	`lower-fma.f64`
11 604×	`lower-fma.f32`
3 442×	`lower-*.f64`
3 442×	`lower-*.f32`
1 514×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	316
1	143	316
2	381	316
3	1046	316
4	2589	316
5	4983	316
0	8247	281

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

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 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
ux
(* ux (+ 1 ux))
(* ux (+ 1 ux))
(* ux (+ 1 ux))
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)
(+ 1 (* ux (+ 1 ux)))
(+ 1 (* ux (+ 1 ux)))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 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))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* -1 ux)
(* -1 ux)
(* -1 ux)
(* -1 ux)
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 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 ux)
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(* -1 (* ux (- 1 (/ 1 ux))))
(pow ux 2)
(* (pow ux 2) (+ 1 (/ 1 ux)))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))

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

rewrite153.0ms (3%)

Memory

-4.4MiB live, 218.8MiB allocated

Rules

7 288×	`lower-fma.f64`
7 288×	`lower-fma.f32`
3 072×	`lower-*.f64`
3 068×	`lower-*.f32`
2 798×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	62
0	24	52
1	123	28
2	997	27
0	9711	24

Stop Event

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

Counts

5 → 431

Calls

Call 1

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

Outputs
(*.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)))
(*.f32 #s(literal -1 binary32) ux)
(.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (.f32 ux ux)))
(.f32 (.f32 ux ux) (/.f32 #s(literal 1 binary32) ux))
(*.f32 ux #s(literal -1 binary32))
(*.f32 ux #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) ux)
(/.f32 (pow.f32 ux #s(literal 3 binary32)) (*.f32 ux ux))
(/.f32 (*.f32 ux ux) ux)
(/.f32 #s(literal 1 binary32) (/.f32 ux (*.f32 ux ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) (pow.f32 ux #s(literal 3 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) ux) ux)
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 ux ux)) ux)
(-.f32 #s(literal 0 binary32) ux)
(pow.f32 ux #s(literal 1 binary32))
(+.f32 #s(literal 0 binary32) ux)
(exp.f32 (*.f32 (log.f32 ux) #s(literal 1 binary32)))
(exp.f32 (log.f32 ux))
(neg.f32 ux)
ux
(*.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (fma.f32 ux ux ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))))
(*.f32 (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))
(*.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))
(*.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(*.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
(*.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))))
(*.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(*.f32 (-.f32 ux #s(literal -1 binary32)) ux)
(*.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))
(*.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(*.f32 ux (-.f32 ux #s(literal 1 binary32)))
(*.f32 ux (-.f32 ux #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux))) (.f32 (.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))) (.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))))) (fma.f32 ux ux ux))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))) (.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))) (fma.f32 ux ux ux))
(/.f32 (-.f32 (*.f32 ux ux) (pow.f32 ux #s(literal 4 binary32))) (fma.f32 ux ux ux))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) #s(literal 3 binary32)) (pow.f32 (.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (fma.f32 (.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))) (.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (*.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (*.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))))))
(/.f32 (-.f32 (.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (.f32 (fma.f32 ux ux ux) (*.f32 ux ux))) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (.f32 (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))) (pow.f32 ux #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 4 binary32)) (pow.f32 ux #s(literal 6 binary32))))
(/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (fma.f32 ux ux ux))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 ux ux (-.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))
(/.f32 ux (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(-.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (fma.f32 ux ux ux)) (*.f32 ux (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))))
(-.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))))
(-.f32 #s(literal 0 binary32) (fma.f32 ux ux ux))
(-.f32 (*.f32 ux ux) ux)
(-.f32 ux (*.f32 ux ux))
(fma.f32 (pow.f32 ux #s(literal 1/2 binary32)) (pow.f32 ux #s(literal 1/2 binary32)) (*.f32 ux ux))
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(fma.f32 (/.f32 #s(literal 1 binary32) ux) (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux ux) (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 (fma.f32 ux ux ux) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux ux) ux) (/.f32 (fma.f32 ux ux ux) (-.f32 ux #s(literal 1 binary32))) #s(literal 1 binary32))
(fma.f32 (/.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (/.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 ux ux))
(fma.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 9 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal -1 binary32))) (*.f32 ux ux))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux)) #s(literal -1 binary32)) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (*.f32 ux ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux))) (*.f32 ux ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (*.f32 ux ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (*.f32 ux ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal -1 binary32))) (*.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) ux)
(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -3 binary32)) (.f32 (pow.f32 ux #s(literal 9 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -2 binary32)) (.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (-.f32 ux #s(literal -1 binary32))))) (*.f32 ux ux))
(fma.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32))) (.f32 ux ux))
(fma.f32 (-.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal 2 binary32))) (.f32 ux ux))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (*.f32 ux ux))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (*.f32 ux ux))
(fma.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32) ux)
(fma.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal 1 binary32))
(fma.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))) (.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) ux)
(fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)) (*.f32 ux ux))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) ux (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32))))) #s(literal 1 binary32))
(fma.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux (fma.f32 ux ux ux) (pow.f32 ux #s(literal 4 binary32)))) #s(literal 1 binary32))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))) (.f32 ux ux))
(fma.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (*.f32 ux ux))
(fma.f32 (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32))))) (*.f32 ux ux))
(fma.f32 (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (+.f32 (pow.f32 (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 2 binary32)) ux) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)))) (*.f32 ux ux))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (*.f32 ux ux))
(fma.f32 (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (*.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (+.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))))) (*.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 #s(literal -1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)))) (*.f32 ux ux))
(fma.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (*.f32 ux ux))
(fma.f32 (pow.f32 ux #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 ux ux))
(fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (fma.f32 ux ux ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (/.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (*.f32 ux ux) #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 ux (+.f32 ux #s(literal 0 binary32)) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 ux (-.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 ux (-.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))
(fma.f32 ux ux (-.f32 ux #s(literal -1 binary32)))
(fma.f32 ux #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32)) ux)
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(fma.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) ux (fma.f32 ux ux #s(literal 1 binary32)))
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) ux)
(+.f32 (fma.f32 ux ux #s(literal 1 binary32)) ux)
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (neg.f32 (/.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))
(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(+.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))

eval51.0ms (1%)

Memory: 12.2MiB live, 130.4MiB allocated
Compiler: Compiled 11 570 to 1 626 computations (85.9% saved)

prune71.0ms (1.4%)

Memory

1.1MiB live, 189.6MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	501	1	502
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	502	5	507

Accuracy

100.0%

Counts

507 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
▶	96.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))))
✓	97.6%	#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 33 to 37 computations (-12.1% saved)

simplify56.0ms (1.1%)

Memory

29.1MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

1 024×	`lower-fma.f64`
1 024×	`lower-fma.f32`
504×	`lower-*.f64`
502×	`lower-*.f32`
280×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
0	21	59
1	41	59
2	85	59
3	155	59
4	322	59
5	665	59
6	1260	59
7	1619	59
8	1705	59
9	1788	59
10	1801	59
11	1801	59
0	1801	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize107.0ms (2.1%)

Memory

-53.7MiB live, 109.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
accuracy	0.09375	(+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))
accuracy	0.37109375	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux)))
accuracy	0.7638073738511332	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))))

Samples

99.0ms	252×	0	valid
1.0ms	4×	1	valid

Compiler

Compiled 47 to 17 computations (63.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 84.0ms

ival-sub: 75.0ms (89% of total)

ival-mult: 3.0ms (3.6% of total)

ival-pow: 3.0ms (3.6% of total)

ival-add: 2.0ms (2.4% of total)

ival-div: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

4 → 60

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	ux	@	-inf	((+ (- ux -1) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ (- ux -1) (* ux ux))) (- 1 (pow ux 3)))
1.0ms	ux	@	inf	((+ (- ux -1) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ (- ux -1) (* ux ux))) (- 1 (pow ux 3)))
0.0ms	ux	@	0	((+ (- ux -1) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ (- ux -1) (* ux ux))) (- 1 (pow ux 3)))
0.0ms	maxCos	@	-inf	((+ (- ux -1) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ (- ux -1) (* ux ux))) (- 1 (pow ux 3)))
0.0ms	maxCos	@	0	((+ (- ux -1) (* ux ux)) (+ (- 1 ux) (* ux maxCos)) (/ (- 1 (pow ux 3)) (+ (- ux -1) (* ux ux))) (- 1 (pow ux 3)))

simplify124.0ms (2.5%)

Memory

3.1MiB live, 199.2MiB allocated

Algorithm

1×	egg-herbie

Rules

8 474×	`lower-fma.f64`
8 474×	`lower-fma.f32`
3 568×	`lower-*.f64`
3 568×	`lower-*.f32`
1 852×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	311
1	166	302
2	469	294
3	1338	294
4	3282	294
5	6081	294
0	8208	268

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

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

rewrite215.0ms (4.2%)

Memory

-19.7MiB live, 253.4MiB allocated

Rules

12 300×	`lower-fma.f64`
12 300×	`lower-fma.f32`
4 450×	`lower-*.f64`
4 448×	`lower-*.f32`
3 460×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	46
0	21	46
1	109	26
2	941	26
0	8535	24

Stop Event

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

Counts

4 → 359

Calls

Call 1

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

Outputs
(.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))))
(.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 ux ux) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)))))
(.f32 (-.f32 (.f32 ux ux) (pow.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux))))
(*.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux ux (.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (+.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) ux)))))
(*.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32))) (fma.f32 ux ux ux))))
(.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))))
(.f32 (neg.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 ux ux) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32))))))
(.f32 (-.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (pow.f32 ux #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))))
(.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 ux #s(literal 4 binary32)) (.f32 (-.f32 ux #s(literal -1 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))))))
(.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux ux) (-.f32 (fma.f32 ux ux #s(literal -1 binary32)) ux) (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 (-.f32 ux #s(literal -1 binary32)) ux #s(literal 1 binary32)))
(*.f32 (fma.f32 (-.f32 ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))) (/.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux)))) (.f32 (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))))) (+.f32 (/.f32 (pow.f32 (-.f32 ux #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux))) (/.f32 (pow.f32 ux #s(literal 4 binary32)) (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 ux ux)))))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 ux ux)) (+.f32 #s(literal 1 binary32) (.f32 ux ux))) (.f32 ux ux)) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 ux #s(literal -1 binary32)) ux #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
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(neg.f32 (-.f32 ux #s(literal 1 binary32)))
(*.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))))
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))
(*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))) (.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (fma.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))))
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 9 binary32)) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (neg.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32)))) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))))) (neg.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))))) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) (pow.f32 ux #s(literal 6 binary32)))) (pow.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)) (pow.f32 ux #s(literal 9 binary32)))) (*.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 6 binary32))) (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32)))) (neg.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (neg.f32 (fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 6 binary32))) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (neg.f32 (neg.f32 (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 9 binary32))) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))
(fma.f32 (*.f32 (neg.f32 (pow.f32 ux #s(literal 3/2 binary32))) (pow.f32 ux #s(literal 3/4 binary32))) (pow.f32 ux #s(literal 3/4 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (pow.f32 ux #s(literal 3/2 binary32)))) (pow.f32 ux #s(literal 3/2 binary32)) #s(literal 1 binary32))
(fma.f32 (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)) (pow.f32 (neg.f32 ux) #s(literal 3/2 binary32)) #s(literal 1 binary32))
(fma.f32 (.f32 #s(literal 1 binary32) (.f32 (neg.f32 ux) ux)) ux #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 ux ux) #s(literal -1 binary32)) ux #s(literal 1 binary32))
(fma.f32 (neg.f32 (pow.f32 ux #s(literal 3/2 binary32))) (pow.f32 ux #s(literal 3/2 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (neg.f32 ux) ux) ux #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal 3/2 binary32)) (neg.f32 (pow.f32 ux #s(literal 3/2 binary32))) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal 1 binary32))
(fma.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(fma.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32))
(fma.f32 ux (*.f32 (neg.f32 ux) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 6 binary32)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32)))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 9 binary32)) (fma.f32 ux (fma.f32 ux ux (pow.f32 ux #s(literal 5 binary32))) #s(literal 1 binary32)))))
(+.f32 (pow.f32 (neg.f32 ux) #s(literal 3 binary32)) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 ux) #s(literal 3 binary32)))
(neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal 1 binary32)))

eval58.0ms (1.1%)

Memory: 2.4MiB live, 97.2MiB allocated
Compiler: Compiled 9 861 to 1 352 computations (86.3% saved)

prune51.0ms (1%)

Memory

-4.3MiB live, 113.6MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	419	0	419
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	419	5	424

Accuracy

100.0%

Counts

424 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	97.6%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	100.0%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
✓	96.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (-.f32 ux #s(literal -1 binary32)) (*.f32 ux ux))))
✓	97.6%	#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 114 to 75 computations (34.2% saved)

regimes15.0ms (0.3%)

Memory

-4.7MiB live, 36.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	maxCos
3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
3.0ms	uy
3.0ms	ux

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes9.0ms (0.2%)

Memory

20.2MiB live, 20.2MiB allocated

Counts

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes10.0ms (0.2%)

Memory

-16.5MiB live, 21.9MiB allocated

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	maxCos
2.0ms	ux
2.0ms	uy

Results

Accuracy	Segments	Branch
97.6%	1	`ux`
97.6%	1	`uy`
97.6%	1	`maxCos`
97.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes5.0ms (0.1%)

Memory

18.3MiB live, 18.3MiB 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	maxCos
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	ux
1.0ms	uy

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)

simplify27.0ms (0.5%)

Memory

-33.8MiB live, 43.0MiB allocated

Algorithm

1×	egg-herbie

Rules

52×	`distribute-lft-neg-in-binary32-*.f32-neg.f32`
42×	`unsub-neg-binary32--.f32-neg.f32-+.f32`
36×	`distribute-neg-in-binary32-+.f32-neg.f32`
26×	`sub-neg-binary32-neg.f32-+.f32--.f32`
26×	`cancel-sign-sub-binary32-+.f32-neg.f32-*.f32--.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness671.0ms (13.2%)

Memory

12.0MiB live, 203.8MiB allocated

Rules

5 750×	`lower-fma.f64`
5 750×	`lower-fma.f32`
5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
4 062×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Compiler

Compiled 45 to 32 computations (28.9% saved)

preprocess24.0ms (0.5%)

Memory: 20.7MiB live, 57.2MiB allocated
Remove: (abs uy)
Compiler: Compiled 96 to 78 computations (18.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze145.0ms (2.9%)

sample1.2s (24.2%)

explain58.0ms (1.1%)

preprocess62.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify18.0ms (0.4%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

simplify169.0ms (3.3%)

rewrite170.0ms (3.4%)

eval31.0ms (0.6%)

prune54.0ms (1.1%)

simplify184.0ms (3.6%)

localize91.0ms (1.8%)

series32.0ms (0.6%)

simplify186.0ms (3.7%)

rewrite262.0ms (5.2%)

eval273.0ms (5.4%)

prune186.0ms (3.7%)

simplify57.0ms (1.1%)

localize49.0ms (1%)

series6.0ms (0.1%)

simplify136.0ms (2.7%)

rewrite153.0ms (3%)

eval51.0ms (1%)

prune71.0ms (1.4%)

simplify56.0ms (1.1%)

localize107.0ms (2.1%)

series5.0ms (0.1%)

simplify124.0ms (2.5%)

rewrite215.0ms (4.2%)

eval58.0ms (1.1%)

prune51.0ms (1%)

regimes15.0ms (0.3%)

regimes9.0ms (0.2%)

regimes10.0ms (0.2%)

regimes5.0ms (0.1%)

simplify27.0ms (0.5%)

soundness671.0ms (13.2%)

preprocess24.0ms (0.5%)

end0.0ms (0%)

Profiling