Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze86.0ms (1.6%)

Memory

13.1MiB live, 123.8MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
25%	0%	0.1%	99.9%	0%	0%	0%	3
25%	0%	0.1%	99.9%	0%	0%	0%	4
37.5%	0%	0.1%	99.9%	0%	0%	0%	5
56.2%	0.1%	0%	99.9%	0%	0%	0%	6
56.2%	0.1%	0%	99.9%	0%	0%	0%	7
65.6%	0.1%	0%	99.9%	0%	0%	0%	8
76.6%	0.1%	0%	99.9%	0%	0%	0%	9
76.6%	0.1%	0%	99.9%	0%	0%	0%	10
82%	0.1%	0%	99.9%	0%	0%	0%	11
87.9%	0.1%	0%	99.9%	0%	0%	0%	12

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (18.3%)

Memory

74.2MiB live, 1 364.3MiB allocated

Samples

623.0ms	8 180×	0	valid
8.0ms	76×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 423.0ms

const: 137.0ms (32.4% of total)

ival-<=: 114.0ms (26.9% of total)

ival-mult: 54.0ms (12.8% of total)

ival-add: 40.0ms (9.5% of total)

ival-sub: 39.0ms (9.2% of total)

ival-and: 27.0ms (6.4% 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

21.0ms	506×	0	valid
0.0ms	6×	1	valid

Compiler

Compiled 46 to 25 computations (45.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (34% of total)

ival-add: 2.0ms (22.7% of total)

ival-sub: 2.0ms (22.7% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

preprocess60.0ms (1.1%)

Memory

19.3MiB live, 60.1MiB 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 10 to 7 computations (30% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 10 to 7 computations (30% saved)

simplify17.0ms (0.3%)

Memory

-18.7MiB live, 18.4MiB 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	0.01953125	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

9.0ms	253×	0	valid
0.0ms	3×	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 (24.6% of total)

ival-sub: 1.0ms (24.6% of total)

ival-mult: 1.0ms (24.6% 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

7.3MiB live, 7.3MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify152.0ms (2.8%)

Memory

6.8MiB live, 80.7MiB 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)

rewrite184.0ms (3.4%)

Memory

-21.1MiB live, 209.5MiB 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 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (*.f32 maxCos ux))))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (.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)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
(.f32 (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux))) (-.f32 ux (.f32 maxCos ux))))) (fma.f32 (-.f32 ux (.f32 maxCos ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))) (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (/.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (/.f32 (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux) (.f32 (.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))) (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))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (/.f32 (.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)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (.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)) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))
(.f32 (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))))
(.f32 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (/.f32 #s(literal 1 binary32) (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 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 ux (.f32 maxCos ux)) (-.f32 ux (.f32 maxCos ux))) (-.f32 ux (.f32 maxCos ux)))) (/.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 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (neg.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) 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)) (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 (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (/.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)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(.f32 (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))) (.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))))
(.f32 (.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)) (.f32 (-.f32 #s(literal 1 binary32) 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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(*.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (.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)) (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 (/.f32 (.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)) (fma.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) 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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
(/.f32 (.f32 (.f32 (fma.f32 (.f32 (.f32 maxCos maxCos) ux) ux (.f32 (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (.f32 (.f32 maxCos maxCos) ux) ux (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))
(/.f32 (.f32 (.f32 (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))) (.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)) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux))))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)))) (fma.f32 (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 maxCos ux) (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))))
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(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux))) (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux)) (.f32 (.f32 ux ux) ux))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 ux ux) ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 ux ux)) (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(/.f32 (+.f32 #s(literal -1 binary32) (.f32 (.f32 ux ux) ux)) (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 (fma.f32 (*.f32 ux ux) ux #s(literal 1 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 (.f32 ux ux) (/.f32 ux (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) (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32)) (neg.f32 (.f32 (*.f32 ux ux) (/.f32 ux (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) #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 (*.f32 ux ux) (/.f32 ux (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) (.f32 (.f32 ux ux) (.f32 ux ux)))) (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) (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux)))) (fma.f32 (.f32 ux ux) (fma.f32 ux ux #s(literal 1 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) (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux)))) (fma.f32 (.f32 ux ux) ux #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) (.f32 (.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 ux ux) ux)) (.f32 (.f32 ux ux) ux)))) (fma.f32 (.f32 (.f32 ux ux) ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) #s(literal 1 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) (fma.f32 (.f32 ux ux) ux #s(literal 1 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) (fma.f32 (.f32 ux ux) ux #s(literal 1 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 (.f32 ux ux) (/.f32 ux (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 (.f32 ux ux) (/.f32 ux (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 (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
(*.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)))

eval29.0ms (0.5%)

Memory: 23.0MiB live, 59.9MiB allocated
Compiler: Compiled 8 169 to 764 computations (90.6% saved)

prune295.0ms (5.4%)

Memory

-28.3MiB live, 106.7MiB 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
▶	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))))
▶	98.8%	(+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (*.f32 ux maxCos))
▶	98.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	71.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 152 to 88 computations (42.1% saved)

simplify164.0ms (3%)

Memory

19.1MiB live, 199.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))
cost-diff	64	(+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (*.f32 ux maxCos))
cost-diff	608	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
cost-diff	0	(fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
cost-diff	64	(+.f32 #s(literal -1 binary32) (neg.f32 ux))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))))
cost-diff	736	(/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 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 #s(literal -1 binary32) maxCos)
cost-diff	0	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))

Rules

15 692×	`lower-fma.f64`
15 682×	`lower-fma.f32`
2 726×	`lower-*.f64`
2 720×	`lower-*.f32`
2 622×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	221
0	50	196
1	106	192
2	257	178
3	1097	176
4	6174	176
0	8203	172

Stop Event

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

Calls

Call 1

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

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

localize96.0ms (1.7%)

Memory

5.8MiB live, 130.3MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.030497480164287515	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
accuracy	0.10546875	(/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))
accuracy	0.109375	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))
accuracy	0.31087875976844204	(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32))))
accuracy	0.01953125	(fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux)))
accuracy	0.12109375	(/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux)))))
accuracy	0.23828125	(*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))
accuracy	0.32421875	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))))
accuracy	0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.40746262527726756	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
accuracy	8.017270336099783	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
accuracy	0	(+.f32 #s(literal -1 binary32) maxCos)

Samples

69.0ms	242×	0	valid
9.0ms	12×	5	exit
1.0ms	2×	1	valid

Compiler

Compiled 236 to 31 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-add: 28.0ms (53.1% of total)

ival-mult: 9.0ms (17.1% of total)

ival-div: 8.0ms (15.2% of total)

adjust: 4.0ms (7.6% of total)

ival-sub: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory

12.6MiB live, 49.0MiB allocated

Counts

15 → 276

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	ux	@	0	((+ (* ux (+ -1 maxCos)) 1) (+ -1 maxCos) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux))))) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (+ -1 (neg ux)) (+ (* maxCos ux) (+ -1 (neg ux))) (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (+ (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (* ux maxCos)) (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (- 1 (* ux ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))) (/ -1 (+ (* (- 1 ux) ux) -1)))
3.0ms	ux	@	-inf	((+ (* ux (+ -1 maxCos)) 1) (+ -1 maxCos) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux))))) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (+ -1 (neg ux)) (+ (* maxCos ux) (+ -1 (neg ux))) (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (+ (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (* ux maxCos)) (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (- 1 (* ux ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))) (/ -1 (+ (* (- 1 ux) ux) -1)))
3.0ms	maxCos	@	0	((+ (* ux (+ -1 maxCos)) 1) (+ -1 maxCos) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux))))) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (+ -1 (neg ux)) (+ (* maxCos ux) (+ -1 (neg ux))) (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (+ (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (* ux maxCos)) (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (- 1 (* ux ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))) (/ -1 (+ (* (- 1 ux) ux) -1)))
2.0ms	ux	@	inf	((+ (* ux (+ -1 maxCos)) 1) (+ -1 maxCos) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux))))) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (+ -1 (neg ux)) (+ (* maxCos ux) (+ -1 (neg ux))) (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (+ (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (* ux maxCos)) (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (- 1 (* ux ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))) (/ -1 (+ (* (- 1 ux) ux) -1)))
2.0ms	maxCos	@	inf	((+ (* ux (+ -1 maxCos)) 1) (+ -1 maxCos) (+ (- 1 ux) (* ux maxCos)) (+ (- 1 ux) (* ux maxCos)) (- 1 ux) (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux))))) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (+ -1 (neg ux)) (+ (* maxCos ux) (+ -1 (neg ux))) (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (+ (/ (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (/ -1 (+ (* (- 1 ux) ux) -1))) (* ux maxCos)) (/ (- 1 (* ux ux)) (+ (* (* ux ux) ux) 1)) (- 1 (* ux ux)) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))) (/ -1 (+ (* (- 1 ux) ux) -1)))

simplify217.0ms (4%)

Memory

-22.1MiB live, 263.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 554×	`lower-fma.f64`
10 554×	`lower-fma.f32`
4 218×	`lower-+.f64`
4 218×	`lower-+.f32`
3 496×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	368	2750
1	1136	2563
2	3549	2472
0	8312	2309

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

Inputs
(+ 1 (* -1 ux))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
(+ 1 (+ (* -1 ux) (* maxCos ux)))
-1
(- maxCos 1)
(- maxCos 1)
(- maxCos 1)
(- 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 ux))
(+ (* -1 (/ (* maxCos ux) (pow (- 1 ux) 2))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (/ (* maxCos (pow ux 2)) (pow (- 1 ux) 3)) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(+ (* maxCos (- (* maxCos (- (* -1 (/ (* maxCos (pow ux 3)) (pow (- 1 ux) 4))) (* -1 (/ (pow ux 2) (pow (- 1 ux) 3))))) (/ ux (pow (- 1 ux) 2)))) (/ 1 (- 1 ux)))
(- 1 ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(- (+ 1 (* maxCos ux)) ux)
(* -1 (+ 1 ux))
(- (* maxCos ux) (+ 1 ux))
(- (* maxCos ux) (+ 1 ux))
(- (* maxCos ux) (+ 1 ux))
(* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (+ 1 (pow ux 3))))
(+ (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (+ 1 (pow ux 3)))) (* maxCos ux))
(+ (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (+ 1 (pow ux 3)))) (* maxCos ux))
(+ (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (+ 1 (pow ux 3)))) (* maxCos ux))
(* -1 (* (+ 1 ux) (- 1 ux)))
(+ (* -1 (* (+ 1 ux) (- 1 ux))) (* maxCos (+ (* -1 (* ux (+ 1 ux))) (* ux (- 1 ux)))))
(+ (* -1 (* (+ 1 ux) (- 1 ux))) (* maxCos (+ (* -1 (* ux (+ 1 ux))) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))))
(+ (* -1 (* (+ 1 ux) (- 1 ux))) (* maxCos (+ (* -1 (* ux (+ 1 ux))) (+ (* maxCos (pow ux 2)) (* ux (- 1 ux))))))
(* maxCos ux)
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
(* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))
maxCos
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos (- 1 (/ 1 maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos ux)
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(/ 1 (* maxCos ux))
(/ (- (+ (/ 1 ux) (/ 1 (* maxCos ux))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) ux))) (+ (/ 1 ux) (/ 1 (* maxCos ux)))) (/ 1 (* maxCos (pow ux 2)))) maxCos)
(/ (- (+ (/ 1 ux) (+ (/ 1 (* maxCos ux)) (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 3) (pow ux 2))))) (+ (/ 1 (* maxCos (pow ux 2))) (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* (pow maxCos 2) 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 (/ (+ 1 ux) maxCos))))
(* maxCos (+ ux (* -1 (/ (+ 1 ux) maxCos))))
(* maxCos (+ ux (* -1 (/ (+ 1 ux) maxCos))))
(* maxCos ux)
(* maxCos (+ ux (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* maxCos (+ ux (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* maxCos (+ ux (* -1 (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- 1 ux)) (pow maxCos 2))) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (/ (* (+ 1 ux) (- 1 ux)) (pow maxCos 2))) (+ (/ (* ux (- 1 ux)) maxCos) (pow ux 2)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))
maxCos
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* -1 (* maxCos (- (/ 1 maxCos) 1)))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(* 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 (/ (- (* -1 (/ (- (/ 1 ux) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos ux))) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 1 ux)) maxCos))
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 1 ux) 2) (- (/ 1 ux) (/ 1 (pow ux 2)))) (* maxCos (pow ux 2)))) (* -1 (/ (* (- 1 ux) (- (/ 1 ux) (/ 1 (pow ux 2)))) ux))) maxCos)) (/ 1 ux)) (/ 1 (pow ux 2))) maxCos)) (/ 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) (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (+ (/ 1 maxCos) (/ ux maxCos)))))
(* -1 (* maxCos (+ (* -1 ux) (+ (/ 1 maxCos) (/ ux maxCos)))))
(* maxCos ux)
(* -1 (* maxCos (+ (* -1 ux) (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* -1 (* maxCos (+ (* -1 ux) (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* -1 (* maxCos (+ (* -1 ux) (/ (* (- 1 (pow ux 2)) (- (* ux (- 1 ux)) 1)) (* maxCos (+ 1 (pow ux 3)))))))
(* (pow maxCos 2) (pow ux 2))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (* ux (+ 1 ux))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (+ (* ux (+ 1 ux)) (/ (* (+ 1 ux) (- 1 ux)) maxCos))) maxCos)) (pow ux 2)))
(* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (* ux (- 1 ux))) (+ (* ux (+ 1 ux)) (/ (* (+ 1 ux) (- 1 ux)) maxCos))) maxCos)) (pow ux 2)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* 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 maxCos)))
(+ 1 (* ux (- (+ 1 (* -1 (* ux (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
(+ 1 (* ux (- (+ 1 (* ux (- (* ux (* (- 1 maxCos) (pow (- maxCos 1) 2))) (* (- 1 maxCos) (- maxCos 1))))) maxCos)))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
-1
(- (* -1 ux) 1)
(- (* -1 ux) 1)
(- (* -1 ux) 1)
-1
(- (* ux (- maxCos 1)) 1)
(- (* ux (- maxCos 1)) 1)
(- (* ux (- maxCos 1)) 1)
1
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
(+ 1 (* -1 ux))
1
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
(+ 1 (* ux (- maxCos 1)))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* (pow ux 2) (- (* -1 ux) 1)))
(+ 1 (* (pow ux 2) (- (* ux (- (pow ux 2) 1)) 1)))
1
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
(+ 1 (* -1 (pow ux 2)))
-1
(- (* ux (- (+ maxCos (* -1 (- maxCos 1))) 1)) 1)
(- (* ux (- (+ maxCos (+ (* -1 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))) 1)) 1)
(- (* ux (- (+ maxCos (+ (* -1 (- maxCos 1)) (* ux (pow (- maxCos 1) 2)))) 1)) 1)
1
(+ 1 ux)
(+ 1 (* ux (+ 1 (* -1 (pow ux 2)))))
(+ 1 (* ux (+ 1 (* (pow ux 2) (- (* -1 ux) 1)))))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- 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 (* ux (- maxCos 1)))
(/ (- (/ 1 (- maxCos 1)) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (/ 1 (* ux (pow (- maxCos 1) 2)))) ux)
(/ (- (+ (/ 1 (* (pow ux 2) (pow (- maxCos 1) 3))) (/ 1 (- maxCos 1))) (+ (/ 1 (* ux (pow (- maxCos 1) 2))) (/ 1 (* (pow ux 3) (pow (- maxCos 1) 4))))) ux)
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* -1 ux)
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* -1 (* ux (+ 1 (/ 1 ux))))
(* ux (- maxCos 1))
(* ux (- maxCos (+ 1 (/ 1 ux))))
(* ux (- maxCos (+ 1 (/ 1 ux))))
(* ux (- maxCos (+ 1 (/ 1 ux))))
(* -1 ux)
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- (/ 1 ux) 1))
(* ux (- maxCos 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(/ -1 ux)
(/ (- (/ 1 (pow ux 2)) 1) ux)
(/ (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) 1) ux)
(/ (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) (+ 1 (/ 1 (pow ux 5)))) ux)
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (pow (- maxCos 1) 2))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (/ maxCos ux) (pow (- maxCos 1) 2))) (/ 1 ux)))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (/ maxCos ux) (pow (- maxCos 1) 2))) (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(* (pow ux 2) (- (+ (* -1 (/ (- maxCos 1) ux)) (+ (/ maxCos ux) (pow (- maxCos 1) 2))) (+ (/ 1 ux) (/ 1 (pow ux 2)))))
(/ 1 (pow ux 2))
(/ (+ 1 (/ 1 ux)) (pow ux 2))
(/ (- (+ 1 (/ 1 ux)) (/ 1 (pow ux 3))) (pow ux 2))
(/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 3))) (/ 1 ux))) (pow ux 2))
(* ux (- maxCos 1))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))
(* -1 (* 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 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (/ 1 (+ 1 (* -1 maxCos)))) ux))
(* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 2))) (+ (/ 1 (* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 3))) (/ 1 (+ 1 (* -1 maxCos))))) ux))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 (* ux (pow (+ 1 (* -1 maxCos)) 4))) (/ 1 (pow (+ 1 (* -1 maxCos)) 3))) ux)) (/ 1 (pow (+ 1 (* -1 maxCos)) 2))) ux)) (/ 1 (+ 1 (* -1 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))))
(* -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))))
(/ -1 ux)
(* -1 (/ (- 1 (/ 1 (pow ux 2))) ux))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (/ 1 ux)) (pow ux 2)))) ux))
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 (pow ux 2))) (pow ux 3)))) (/ 1 (pow ux 2))) ux))
(* -1 (pow ux 2))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (- (/ 1 (pow ux 2)) 1))
(* (pow ux 2) (pow (+ 1 (* -1 maxCos)) 2))
(* (pow ux 2) (+ (* -1 (/ (+ 1 (+ (* -1 maxCos) (* -1 (+ 1 (* -1 maxCos))))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (+ 1 (+ (* -1 maxCos) (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(* (pow ux 2) (+ (* -1 (/ (+ 1 (+ (* -1 maxCos) (+ (* -1 (+ 1 (* -1 maxCos))) (/ 1 ux)))) ux)) (pow (+ 1 (* -1 maxCos)) 2)))
(/ 1 (pow ux 2))
(/ (+ 1 (/ 1 ux)) (pow ux 2))
(/ (+ 1 (* -1 (/ (- (/ 1 (pow ux 2)) 1) ux))) (pow ux 2))
(/ (+ 1 (* -1 (/ (- (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 3))) 1) ux))) (pow ux 2))

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

rewrite338.0ms (6.2%)

Memory

7.1MiB live, 348.6MiB allocated

Rules

5 084×	`lower-*.f64`
5 078×	`lower-*.f32`
4 162×	`lower-/.f64`
4 152×	`lower-/.f32`
3 556×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	174
0	50	146
1	267	126
2	2510	126
0	8556	125

Stop Event

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

Counts

15 → 1 058

Calls

Call 1

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

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

eval299.0ms (5.5%)

Memory: 39.4MiB live, 377.7MiB allocated
Compiler: Compiled 80 341 to 4 655 computations (94.2% saved)

prune252.0ms (4.6%)

Memory

-43.3MiB live, 345.2MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 507	2	1 509
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 509	5	1 514

Accuracy

100.0%

Counts

1 514 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	99.9%	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32)))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
✓	98.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 51 to 34 computations (33.3% saved)

simplify226.0ms (4.1%)

Memory

42.5MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 ux maxCos)
cost-diff	0	(-.f32 ux (/.f32 ux maxCos))
cost-diff	0	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32)))
cost-diff	352	(fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32))
cost-diff	0	(fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))
cost-diff	0	(/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
cost-diff	64	(neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))

Rules

17 710×	`lower-fma.f64`
17 704×	`lower-fma.f32`
2 840×	`lower-*.f64`
2 838×	`lower-*.f32`
2 606×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	120
0	37	118
1	84	112
2	237	96
3	1057	94
4	4878	92
0	8347	88

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1.1%)

Memory

8.0MiB live, 111.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(/.f32 ux maxCos)
accuracy	0	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32)))
accuracy	0.03582001953688403	(fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32))
accuracy	0.07421875	(-.f32 ux (/.f32 ux maxCos))
accuracy	0.00390625	(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
accuracy	0.01953125	(fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))
accuracy	0.34212875976844204	(/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
accuracy	0.5040334017043934	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))

Samples

42.0ms	244×	0	valid
3.0ms	12×	1	valid

Compiler

Compiled 105 to 29 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-add: 12.0ms (33.5% of total)

ival-div: 10.0ms (27.9% of total)

ival-mult: 8.0ms (22.3% of total)

ival-sub: 2.0ms (5.6% of total)

ival-neg: 2.0ms (5.6% of total)

adjust: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory

-14.4MiB live, 38.8MiB allocated

Counts

9 → 168

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	ux	@	inf	((neg (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (/ (+ (* (* ux ux) ux) -1) (neg (+ (+ (* ux ux) ux) 1))) (+ (* (* ux ux) ux) -1) (+ (* (- ux (/ ux maxCos)) maxCos) 1) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (- ux (/ ux maxCos)) (/ ux maxCos) (+ (+ (* ux ux) ux) 1))
2.0ms	ux	@	-inf	((neg (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (/ (+ (* (* ux ux) ux) -1) (neg (+ (+ (* ux ux) ux) 1))) (+ (* (* ux ux) ux) -1) (+ (* (- ux (/ ux maxCos)) maxCos) 1) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (- ux (/ ux maxCos)) (/ ux maxCos) (+ (+ (* ux ux) ux) 1))
1.0ms	ux	@	0	((neg (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (/ (+ (* (* ux ux) ux) -1) (neg (+ (+ (* ux ux) ux) 1))) (+ (* (* ux ux) ux) -1) (+ (* (- ux (/ ux maxCos)) maxCos) 1) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (- ux (/ ux maxCos)) (/ ux maxCos) (+ (+ (* ux ux) ux) 1))
1.0ms	maxCos	@	-inf	((neg (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (/ (+ (* (* ux ux) ux) -1) (neg (+ (+ (* ux ux) ux) 1))) (+ (* (* ux ux) ux) -1) (+ (* (- ux (/ ux maxCos)) maxCos) 1) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (- ux (/ ux maxCos)) (/ ux maxCos) (+ (+ (* ux ux) ux) 1))
1.0ms	maxCos	@	0	((neg (+ (+ (* ux ux) ux) 1)) (+ (- 1 ux) (* ux maxCos)) (/ (+ (* (* ux ux) ux) -1) (neg (+ (+ (* ux ux) ux) 1))) (+ (* (* ux ux) ux) -1) (+ (* (- ux (/ ux maxCos)) maxCos) 1) (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (- ux (/ ux maxCos)) (/ ux maxCos) (+ (+ (* ux ux) ux) 1))

simplify135.0ms (2.5%)

Memory

7.4MiB live, 195.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 012×	`lower-fma.f64`
10 012×	`lower-fma.f32`
3 344×	`lower-*.f64`
3 344×	`lower-*.f32`
2 350×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	898
1	272	882
2	716	831
3	2350	831
4	6297	831
0	8106	763

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 166

Calls

Call 1

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

rewrite178.0ms (3.3%)

Memory

-11.0MiB live, 278.5MiB allocated

Rules

4 860×	`lower-*.f64`
4 858×	`lower-*.f32`
4 166×	`lower-/.f64`
4 162×	`lower-/.f32`
4 028×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	107
0	37	102
1	222	79
2	2183	65
0	8283	63

Stop Event

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

Counts

9 → 222

Calls

Call 1

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

Outputs
(*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) #s(literal -1 binary32))
(/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (.f32 #s(literal -1 binary32) (fma.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (+.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (+.f32 #s(literal 0 binary32) (fma.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (*.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))))
(/.f32 (fma.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal -1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (-.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32)))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (neg.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32)) (neg.f32 (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux))))
(-.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (+.f32 #s(literal 1 binary32) ux))
(-.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
(fma.f32 (neg.f32 (+.f32 #s(literal 1 binary32) ux)) ux #s(literal -1 binary32))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) (neg.f32 ux) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (.f32 ux ux) (.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux ux ux) #s(literal -1 binary32))
(fma.f32 (.f32 ux ux) #s(literal -1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 ux ux) #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(+.f32 (*.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1 binary32))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 ux ux)) (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(+.f32 (neg.f32 (*.f32 ux ux)) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
(+.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32))
(+.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(+.f32 #s(literal -1 binary32) (*.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux)))
(neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))))
(.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)) (.f32 (.f32 ux ux) ux))) (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 1 binary32) ux)))
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(fma.f32 ux #s(literal 1 binary32) (/.f32 (neg.f32 ux) maxCos))
(pow.f32 (/.f32 (+.f32 (/.f32 ux maxCos) ux) (-.f32 (.f32 ux ux) (/.f32 (.f32 ux ux) (*.f32 maxCos maxCos)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (/.f32 ux maxCos) (+.f32 (/.f32 ux maxCos) ux) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux (/.f32 (.f32 (.f32 ux ux) ux) (.f32 (.f32 maxCos maxCos) maxCos)))) #s(literal -1 binary32))
(+.f32 (/.f32 (neg.f32 ux) maxCos) ux)
(+.f32 ux (/.f32 (neg.f32 ux) maxCos))
(*.f32 (/.f32 #s(literal 1 binary32) maxCos) (pow.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) maxCos) ux)
(*.f32 (neg.f32 ux) (/.f32 #s(literal 1 binary32) (neg.f32 maxCos)))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 ux) maxCos))
(*.f32 #s(literal 1 binary32) (/.f32 ux maxCos))
(*.f32 ux (/.f32 #s(literal 1 binary32) maxCos))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (neg.f32 maxCos))) (.f32 (neg.f32 maxCos) (neg.f32 ux))) (*.f32 (neg.f32 maxCos) (neg.f32 (neg.f32 maxCos))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) maxCos) (.f32 (neg.f32 maxCos) (neg.f32 ux))) (*.f32 (neg.f32 maxCos) maxCos))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 maxCos ux)) (.f32 (neg.f32 maxCos) #s(literal -1 binary32))) (*.f32 (neg.f32 maxCos) (/.f32 maxCos ux)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (/.f32 maxCos ux))) (.f32 (neg.f32 maxCos) #s(literal 1 binary32))) (*.f32 (neg.f32 maxCos) (neg.f32 (/.f32 maxCos ux))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 maxCos)) (.f32 (neg.f32 maxCos) ux)) (*.f32 maxCos maxCos))
(/.f32 (neg.f32 ux) (neg.f32 maxCos))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 maxCos ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 maxCos ux) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 maxCos ux))
(/.f32 ux (neg.f32 (neg.f32 maxCos)))
(/.f32 ux maxCos)
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 maxCos)) (/.f32 (neg.f32 ux) maxCos))
(pow.f32 (/.f32 (/.f32 maxCos ux) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 maxCos ux) #s(literal -1 binary32))
(exp.f32 (*.f32 (log.f32 (/.f32 maxCos ux)) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 ux) maxCos))
(*.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(.f32 (fma.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #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 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (-.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) (.f32 ux ux)) ux (.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) ux))) (fma.f32 (.f32 (.f32 ux ux) ux) ux (-.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) (neg.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) (neg.f32 (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux))))
(/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(/.f32 (fma.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux))))
(/.f32 (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))))
(-.f32 (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(fma.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (+.f32 #s(literal 1 binary32) ux) ux #s(literal 1 binary32))
(fma.f32 (.f32 (fma.f32 ux ux ux) (-.f32 (.f32 ux ux) ux)) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 ux ux) ux)) #s(literal 1 binary32))
(fma.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (.f32 (.f32 ux ux) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 ux ux) ux) ux (.f32 ux (-.f32 ux (.f32 ux ux))))) #s(literal 1 binary32))
(fma.f32 (neg.f32 ux) (neg.f32 ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 (neg.f32 ux) #s(literal -1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 #s(literal -1 binary32) (*.f32 ux (neg.f32 ux)) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal -1 binary32) (neg.f32 ux) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (*.f32 ux ux) #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(fma.f32 #s(literal 1 binary32) (fma.f32 ux ux ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) ux (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 (fma.f32 ux ux ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 ux #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32)))
(fma.f32 ux ux (+.f32 #s(literal 1 binary32) ux))
(pow.f32 (/.f32 (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux) #s(literal 1 binary32)) (fma.f32 ux ux ux)) (fma.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux) #s(literal 1 binary32))) #s(literal -1 binary32))
(+.f32 (neg.f32 (neg.f32 (fma.f32 ux ux ux))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 ux ux)) ux)
(+.f32 (+.f32 #s(literal 1 binary32) ux) (*.f32 ux ux))
(+.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
(+.f32 ux (fma.f32 ux ux #s(literal 1 binary32)))
(neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))

eval31.0ms (0.6%)

Memory: 12.3MiB live, 89.0MiB allocated
Compiler: Compiled 6 507 to 700 computations (89.2% saved)

prune44.0ms (0.8%)

Memory

-2.7MiB live, 119.0MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	386	2	388
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	388	5	393

Accuracy

100.0%

Counts

393 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	98.4%	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 #s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos)) maxCos #s(literal 1 binary32)))
▶	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
✓	98.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 50 to 32 computations (36% saved)

simplify186.0ms (3.4%)

Memory

-19.8MiB live, 175.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

17 332×	`lower-fma.f64`
17 326×	`lower-fma.f32`
2 784×	`lower-*.f64`
2 782×	`lower-*.f32`
2 612×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	128
0	38	126
1	81	123
2	208	107
3	973	105
4	4804	105
0	8257	103

Stop Event

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

Calls

Call 1

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

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

localize89.0ms (1.6%)

Memory

19.1MiB live, 146.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f32 ux)
accuracy	0	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 #s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos)) maxCos #s(literal 1 binary32)))
accuracy	0.03582001953688403	(fma.f32 #s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos)) maxCos #s(literal 1 binary32))
accuracy	1.914027665389875	#s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos))
accuracy	0.00390625	(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
accuracy	0.01953125	(fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))
accuracy	0.34212875976844204	(/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
accuracy	0.5040334017043934	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))

Samples

73.0ms	244×	0	valid
3.0ms	12×	1	valid

Compiler

Compiled 98 to 29 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 61.0ms

ival-mult: 37.0ms (60.3% of total)

ival-div: 11.0ms (17.9% of total)

ival-add: 8.0ms (13% of total)

ival-sub: 3.0ms (4.9% of total)

adjust: 1.0ms (1.6% of total)

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory

-8.7MiB live, 29.0MiB allocated

Counts

10 → 180

Calls

Call 1

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

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

Calls

6 calls:

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

simplify112.0ms (2.1%)

Memory

-12.0MiB live, 145.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 094×	`lower-fma.f64`
9 094×	`lower-fma.f32`
3 176×	`lower-*.f64`
3 176×	`lower-*.f32`
1 394×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	912
1	252	904
2	663	853
3	2178	853
4	5855	853
0	8253	793

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 178

Calls

Call 1

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

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

rewrite181.0ms (3.3%)

Memory

36.3MiB live, 188.9MiB allocated

Rules

4 824×	`lower-/.f64`
4 820×	`lower-/.f32`
4 390×	`lower-*.f64`
4 388×	`lower-*.f32`
3 456×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	119
0	38	114
1	225	112
2	2144	98
0	8630	96

Stop Event

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

Counts

10 → 198

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32))))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)))
(.f32 (fma.f32 (.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 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))) (neg.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))) (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))) (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32))) (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))) (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
(neg.f32 (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux)))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 ux ux) ux #s(literal -1 binary32))))
(.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)))) (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (*.f32 ux ux) ux))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux))) (-.f32 #s(literal -1 binary32) (.f32 (*.f32 ux ux) ux)))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux)))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))) (neg.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) #s(literal -1 binary32)) (fma.f32 (*.f32 ux ux) ux #s(literal 1 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux))))
(/.f32 (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (*.f32 ux ux) #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32)) (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (*.f32 ux ux) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (fma.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))))
(fma.f32 (pow.f32 #s(literal -1 binary32) #s(literal 3/2 binary32)) (pow.f32 (*.f32 ux (neg.f32 ux)) #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 (.f32 ux ux) ux) #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 (pow.f32 ux #s(literal 3/2 binary32)) (pow.f32 ux #s(literal 3/2 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 (.f32 ux ux) ux) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (.f32 (.f32 ux ux) ux) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (neg.f32 ux) (*.f32 ux ux) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))
(fma.f32 (*.f32 ux ux) (neg.f32 ux) #s(literal -1 binary32))
(fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32))
(fma.f32 ux (.f32 (.f32 ux ux) #s(literal -1 binary32)) #s(literal -1 binary32))
(fma.f32 ux (*.f32 ux ux) #s(literal -1 binary32))
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(+.f32 (.f32 (.f32 ux ux) ux) #s(literal -1 binary32))
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(*.f32 (exp.f32 (log.f32 ux)) (exp.f32 (log.f32 ux)))
(*.f32 (neg.f32 ux) (neg.f32 ux))
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(.f32 (.f32 ux ux) #s(literal 1 binary32))
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(.f32 #s(literal 1 binary32) (.f32 ux ux))
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(neg.f32 (*.f32 ux (neg.f32 ux)))
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(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 ux ux) ux) ux)) (+.f32 #s(literal 0 binary32) ux) (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux)))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (.f32 ux ux) ux) ux)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal 0 binary32) (.f32 (.f32 ux ux) ux)))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 ux ux)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux))) (+.f32 #s(literal 0 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 ux ux) ux) ux (.f32 #s(literal -1 binary32) (.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 ux ux) ux) ux (.f32 #s(literal -1 binary32) (.f32 ux ux)))) (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (.f32 (.f32 ux ux) ux) ux) (.f32 ux ux))) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (.f32 #s(literal 0 binary32) ux))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 ux ux) ux) ux (.f32 #s(literal -1 binary32) (.f32 ux ux)))) (-.f32 #s(literal 0 binary32) (.f32 (.f32 ux ux) ux)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 ux ux) ux) ux (.f32 #s(literal -1 binary32) (.f32 ux ux)))) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal -1 binary32) (.f32 ux ux))) (.f32 ux ux)) (+.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) ux))
(/.f32 (-.f32 (.f32 (.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal -1 binary32) (.f32 ux ux))) (-.f32 #s(literal -1 binary32) (.f32 ux ux))) (.f32 (.f32 ux ux) ux)) (fma.f32 (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (-.f32 #s(literal -1 binary32) (.f32 ux ux)) (fma.f32 ux ux (.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) ux))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (-.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux)))))))
(/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) (neg.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (-.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)))
(/.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux))))))
(/.f32 (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux))) (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))))
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))) (/.f32 (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)) (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(-.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) ux)
(-.f32 (-.f32 #s(literal -1 binary32) ux) (*.f32 ux ux))
(-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))
(fma.f32 (*.f32 #s(literal -1 binary32) (+.f32 ux #s(literal 1 binary32))) ux #s(literal -1 binary32))
(fma.f32 (neg.f32 (+.f32 ux #s(literal 1 binary32))) ux #s(literal -1 binary32))
(fma.f32 (+.f32 ux #s(literal 1 binary32)) (neg.f32 ux) #s(literal -1 binary32))
(fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (fma.f32 ux ux ux) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 ux ux ux) (fma.f32 (+.f32 ux #s(literal 1 binary32)) ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (.f32 (.f32 (fma.f32 ux ux ux) (fma.f32 ux ux ux)) (fma.f32 ux ux ux)))) #s(literal -1 binary32))
(+.f32 (-.f32 #s(literal -1 binary32) (*.f32 ux ux)) (neg.f32 ux))
(+.f32 (neg.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32))
(+.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 ux ux ux)))
(*.f32 #s(literal -1 binary32) ux)
(*.f32 ux #s(literal -1 binary32))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux))) (neg.f32 (+.f32 #s(literal 0 binary32) ux)))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 ux ux) ux))) (neg.f32 (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux)))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (+.f32 #s(literal 0 binary32) ux))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (.f32 ux ux) ux)) (+.f32 #s(literal 0 binary32) (fma.f32 ux ux (*.f32 #s(literal 0 binary32) ux))))
(-.f32 #s(literal 0 binary32) ux)
(+.f32 #s(literal 0 binary32) (neg.f32 ux))
(neg.f32 ux)

eval68.0ms (1.2%)

Memory: 9.1MiB live, 47.2MiB allocated
Compiler: Compiled 6 677 to 608 computations (90.9% saved)

prune90.0ms (1.6%)

Memory

-8.4MiB live, 104.9MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	0	0
Picked	0	2	2
Done	0	3	3
Total	376	5	381

Accuracy

100.0%

Counts

381 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	98.4%	#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 #s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos)) maxCos #s(literal 1 binary32)))
✓	97.5%	#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
✓	98.4%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
✓	71.8%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 168 to 69 computations (58.9% saved)

regimes17.0ms (0.3%)

Memory

14.7MiB live, 47.9MiB allocated

Counts

10 → 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))
(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 #s(approx (- ux (/ ux maxCos)) (/.f32 (neg.f32 ux) maxCos)) maxCos #s(literal 1 binary32)))
#s(approx (/ 1 (/ (+ (* maxCos ux) (+ -1 (neg ux))) (* (+ (* maxCos ux) (- 1 ux)) (+ (* maxCos ux) (+ -1 (neg ux)))))) (fma.f32 (-.f32 ux (/.f32 ux maxCos)) maxCos #s(literal 1 binary32)))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 ux ux ux))))
#s(approx (+ (- 1 ux) (* ux maxCos)) (/.f32 (fma.f32 (*.f32 ux ux) ux #s(literal -1 binary32)) (neg.f32 (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))) (*.f32 (fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux)) (fma.f32 maxCos ux (+.f32 #s(literal -1 binary32) (neg.f32 ux))))))
(+.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 (.f32 ux ux) ux #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)))) (*.f32 ux maxCos))

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

Calls

4 calls:

6.0ms	maxCos
4.0ms	ux
4.0ms	uy
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes42.0ms (0.8%)

Memory

-52.0MiB live, 13.4MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

37.0ms	maxCos
2.0ms	uy
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	ux

Results

Accuracy	Segments	Branch
98.4%	1	`ux`
98.4%	1	`uy`
98.4%	1	`maxCos`
98.4%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes5.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB 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	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	uy
1.0ms	ux
1.0ms	maxCos

Results

Accuracy	Segments	Branch
71.8%	1	`ux`
71.8%	1	`uy`
71.8%	1	`maxCos`
71.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`*-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	18	26
2	21	26
3	23	26
4	24	26

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

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

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

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

soundness641.0ms (11.7%)

Memory

9.2MiB live, 230.7MiB 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	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
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Compiler

Compiled 41 to 27 computations (34.1% saved)

preprocess21.0ms (0.4%)

Memory: 30.2MiB live, 68.2MiB allocated
Remove: (abs uy)
Compiler: Compiled 86 to 58 computations (32.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze86.0ms (1.6%)

sample1.0s (18.3%)

explain58.0ms (1.1%)

preprocess60.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify17.0ms (0.3%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

simplify152.0ms (2.8%)

rewrite184.0ms (3.4%)

eval29.0ms (0.5%)

prune295.0ms (5.4%)

simplify164.0ms (3%)

localize96.0ms (1.7%)

series34.0ms (0.6%)

simplify217.0ms (4%)

rewrite338.0ms (6.2%)

eval299.0ms (5.5%)

prune252.0ms (4.6%)

simplify226.0ms (4.1%)

localize61.0ms (1.1%)

series25.0ms (0.4%)

simplify135.0ms (2.5%)

rewrite178.0ms (3.3%)

eval31.0ms (0.6%)

prune44.0ms (0.8%)

simplify186.0ms (3.4%)

localize89.0ms (1.6%)

series13.0ms (0.2%)

simplify112.0ms (2.1%)

rewrite181.0ms (3.3%)

eval68.0ms (1.2%)

prune90.0ms (1.6%)

regimes17.0ms (0.3%)

regimes42.0ms (0.8%)

regimes5.0ms (0.1%)

simplify6.0ms (0.1%)

soundness641.0ms (11.7%)

preprocess21.0ms (0.4%)

end0.0ms (0%)

Profiling