Metrics for UniformSampleCone, z

analyze73.0ms (1.2%)

Memory

-6.7MiB live, 110.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.1%	99.9%	0%	0%	0%	0
0%	0%	0.1%	99.9%	0%	0%	0%	1
0%	0%	0.1%	99.9%	0%	0%	0%	2
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 (15.9%)

Memory

103.7MiB live, 1 393.6MiB allocated

Samples

617.0ms	8 183×	0	valid
7.0ms	73×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 413.0ms

ival-<=: 127.0ms (30.8% of total)

const: 119.0ms (28.8% of total)

ival-mult: 48.0ms (11.6% of total)

ival-sub: 43.0ms (10.4% of total)

ival-add: 38.0ms (9.2% of total)

ival-and: 29.0ms (7% of total)

exact: 7.0ms (1.7% of total)

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

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess64.0ms (1%)

Memory

6.9MiB live, 43.9MiB 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 ux maxCos (-.f32 #s(literal 1 binary32) ux))

Symmetry

(abs uy)

explain64.0ms (1%)

Memory

-16.6MiB live, 100.8MiB 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

27.0ms	508×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-add: 5.0ms (43.9% of total)

ival-mult: 3.0ms (26.3% of total)

ival-sub: 2.0ms (17.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

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)

simplify22.0ms (0.3%)

Memory

-8.1MiB live, 29.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

localize16.0ms (0.3%)

Memory

27.3MiB live, 27.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(*.f32 ux maxCos)
✓	accuracy	99.9%	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

10.0ms	254×	0	valid
0.0ms	2×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-add: 1.0ms (23.7% of total)

ival-mult: 1.0ms (23.7% of total)

ival-sub: 1.0ms (23.7% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series215.0ms (3.4%)

Memory

-49.6MiB live, 5.3MiB allocated

Counts

3 → 60

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- 1 ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (- (+ 1 (* maxCos ux)) ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>
#<alt (* maxCos ux)>

Calls

15 calls:

Time	Variable		Point	Expression
212.0ms	maxCos	@	-inf	(* ux maxCos)
0.0ms	maxCos	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	(+ (- 1 ux) (* ux maxCos))

rewrite272.0ms (4.3%)

Memory

47.7MiB live, 391.1MiB allocated

Algorithm

1×	batch-egg-rewrite

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

simplify256.0ms (4%)

Memory

-3.7MiB live, 254.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
2 180×	`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	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval40.0ms (0.6%)

Memory: 23.6MiB live, 70.0MiB allocated
Compiler: Compiled 8 109 to 762 computations (90.6% saved)

prune63.0ms (1%)

Memory

-8.3MiB live, 104.0MiB 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))
▶	98.7%	(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
▶	97.8%	(-.f32 #s(literal 1 binary32) ux)
▶	97.9%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
▶	73.8%	#s(literal 1 binary32)

Compiler

Compiled 152 to 80 computations (47.4% saved)

simplify432.0ms (6.8%)

Memory

22.9MiB live, 461.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (fma.f32 ux (neg.f32 maxCos) ux) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)))
✓	cost-diff	64	(fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))
✓	cost-diff	64	(-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))))
✓	cost-diff	160	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) ux)
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	cost-diff	0	(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	cost-diff	160	(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
✓	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

18 382×	`lower-fma.f64`
18 372×	`lower-fma.f32`
3 422×	`lower-+.f64`
3 418×	`lower-+.f32`
3 120×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	193
0	44	163
1	98	161
2	286	160
3	1213	160
4	5420	160
0	8185	156

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

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

localize80.0ms (1.3%)

Memory

-29.9MiB live, 165.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)))) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32))))
✓	accuracy	99.6%	(*.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux))
✓	accuracy	99.1%	(.f32 (fma.f32 ux (neg.f32 maxCos) ux) (.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux (neg.f32 maxCos) ux)))
✓	accuracy	98.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux (neg.f32 maxCos) ux) (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
✓	accuracy	99.9%	(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	accuracy	99.7%	(-.f32 (fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
✓	accuracy	98.9%	(/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(+.f32 #s(literal -1 binary32) maxCos)
✓	accuracy	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))

Samples

42.0ms	252×	0	valid
1.0ms	3×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 220 to 29 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 12.0ms (39.4% of total)

ival-add: 8.0ms (26.2% of total)

ival-div: 5.0ms (16.4% of total)

ival-sub: 3.0ms (9.8% of total)

ival-neg: 1.0ms (3.3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series43.0ms (0.7%)

Memory

-0.5MiB live, 82.9MiB allocated

Counts

14 → 276

Calls

Call 1

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

Outputs
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- maxCos 1))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (* -1 (- maxCos 1)) (/ 1 ux))))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (+ 1 (+ (* -1 ux) (* maxCos ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos (+ ux (+ (* -1 (/ ux maxCos)) (/ 1 maxCos))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (+ 1 (* -1 ux)) maxCos)))))>
#<alt -1>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt (- maxCos 1)>
#<alt maxCos>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt (* maxCos (- 1 (/ 1 maxCos)))>
#<alt maxCos>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt (* -1 (* maxCos (- (/ 1 maxCos) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (+ 1 (* -1 maxCos))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))>
#<alt (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (- (+ (* maxCos ux) (/ 1 (+ 1 ux))) (/ (pow ux 2) (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (- (+ ux (/ 1 (* maxCos (+ 1 ux)))) (/ (pow ux 2) (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- (/ 1 (+ 1 ux)) (/ (pow ux 2) (+ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- (+ maxCos ux) 1)))>
#<alt (+ 1 (* ux (- (+ maxCos (* ux (+ 1 (* -1 ux)))) 1)))>
#<alt (* maxCos ux)>
#<alt (* ux (+ maxCos (/ 1 (pow ux 2))))>
#<alt (* ux (- (+ maxCos (/ 1 (pow ux 2))) (/ 1 (pow ux 3))))>
#<alt (* ux (- (+ maxCos (+ (/ 1 (pow ux 2)) (/ 1 (pow ux 4)))) (/ 1 (pow ux 3))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* ux (- (* -1 maxCos) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (/ 1 (pow ux 3))) (/ 1 (pow ux 2)))))>
#<alt (* -1 (* ux (- (+ (* -1 maxCos) (* -1 (/ (- (/ 1 ux) 1) (pow ux 3)))) (/ 1 (pow ux 2)))))>
#<alt (/ 1 (+ 1 ux))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (+ (* maxCos ux) (/ 1 (+ 1 ux)))>
#<alt (* maxCos ux)>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos (+ ux (/ 1 (* maxCos (+ 1 ux)))))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt (* -1 (* maxCos (- (* -1 ux) (/ 1 (* maxCos (+ 1 ux))))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* ux (- ux 1)))>
#<alt (+ 1 (* ux (- (* ux (+ 1 (* -1 ux))) 1)))>
#<alt (/ 1 ux)>
#<alt (/ (- 1 (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (/ 1 ux)) ux)>
#<alt (/ (- (+ 1 (/ 1 (pow ux 2))) (+ (/ 1 ux) (/ 1 (pow ux 3)))) ux)>
#<alt (/ 1 ux)>
#<alt (* -1 (/ (- (/ 1 ux) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 ux) 1) ux)) 1) ux)) 1) ux))>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt (+ 1 ux)>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt ux>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt (* ux (+ 1 (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 (* ux (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* -1 (* ux (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* (+ 1 maxCos) (+ 1 (* -1 maxCos)))))) (+ 1 (* -1 maxCos)))))>
#<alt (+ 1 (* ux (- (* ux (- (* ux (- (* -1 (pow (+ 1 (* -1 maxCos)) 3)) (+ (* -1 (* (+ 1 maxCos) (pow (+ 1 (* -1 maxCos)) 2))) (* -1 (* (+ 1 (* -1 maxCos)) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* (+ 1 maxCos) (+ 1 (* -1 maxCos))))))))) (+ (* -1 (pow (+ 1 (* -1 maxCos)) 2)) (* (+ 1 maxCos) (+ 1 (* -1 maxCos)))))) (+ 1 (* -1 maxCos)))))>
#<alt (* -1 (/ (* ux (pow (+ 1 (* -1 maxCos)) 2)) (+ 1 maxCos)))>
#<alt (* ux (+ (* -1 (/ (pow (+ 1 (* -1 maxCos)) 2) (+ 1 maxCos))) (/ (pow (+ 1 (* -1 maxCos)) 2) (* ux (pow (+ 1 maxCos) 2)))))>
#<alt (* ux (- (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 maxCos)) (pow (+ 1 maxCos) 2))) (/ (pow (+ 1 (* -1 maxCos)) 2) (pow (+ 1 maxCos) 3))) (pow ux 2))) (* -1 (/ (pow (+ 1 (* -1 maxCos)) 2) (+ 1 maxCos)))) (* -1 (/ (pow (+ 1 (* -1 maxCos)) 2) (* ux (pow (+ 1 maxCos) 2))))))>
#<alt (* ux (- (+ (* -1 (/ (pow (+ 1 (* -1 maxCos)) 2) (+ 1 maxCos))) (/ 1 (* (pow ux 3) (* (+ 1 maxCos) (+ 1 (* -1 maxCos)))))) (+ (* -1 (/ maxCos (* (pow ux 3) (pow (+ 1 maxCos) 3)))) (+ (* -1 (/ (+ 1 (* -1 maxCos)) (* (pow ux 2) (pow (+ 1 maxCos) 2)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1 maxCos)) (pow (+ 1 maxCos) 2))) (/ (pow (+ 1 (* -1 maxCos)) 2) (pow (+ 1 maxCos) 3))) (* (pow ux 3) (+ 1 maxCos)))) (+ (* -1 (/ (pow (+ 1 (* -1 maxCos)) 2) (* ux (pow (+ 1 maxCos) 2)))) (+ (/ 1 (* (pow ux 3) (pow (+ 1 maxCos) 3))) (/ (pow (+ 1 (* -1 maxCos)) 2) (* (pow ux 2) (pow (+ 1 maxCos) 3))))))))))>
#<alt (/ (* ux (pow (- maxCos 1) 2)) (- (* -1 maxCos) 1))>
#<alt (* -1 (* ux (+ (* -1 (/ (pow (- maxCos 1) 2) (* ux (pow (- (* -1 maxCos) 1) 2)))) (* -1 (/ (pow (- maxCos 1) 2) (- (* -1 maxCos) 1))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (- (+ (* -1 (/ (- maxCos 1) (* ux (pow (- (* -1 maxCos) 1) 2)))) (/ (pow (- maxCos 1) 2) (* ux (pow (- (* -1 maxCos) 1) 3)))) (* -1 (/ (pow (- maxCos 1) 2) (pow (- (* -1 maxCos) 1) 2)))) ux)) (* -1 (/ (pow (- maxCos 1) 2) (- (* -1 maxCos) 1))))))>
#<alt (* -1 (* ux (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ 1 (* (- maxCos 1) (- (* -1 maxCos) 1))) (/ 1 (pow (- (* -1 maxCos) 1) 3))) (+ (* -1 (/ (+ (* -1 (/ (- maxCos 1) (pow (- (* -1 maxCos) 1) 2))) (/ (pow (- maxCos 1) 2) (pow (- (* -1 maxCos) 1) 3))) (- (* -1 maxCos) 1))) (/ maxCos (pow (- (* -1 maxCos) 1) 3)))) ux)) (+ (* -1 (/ (- maxCos 1) (pow (- (* -1 maxCos) 1) 2))) (/ (pow (- maxCos 1) 2) (pow (- (* -1 maxCos) 1) 3)))) ux)) (* -1 (/ (pow (- maxCos 1) 2) (pow (- (* -1 maxCos) 1) 2)))) ux)) (* -1 (/ (pow (- maxCos 1) 2) (- (* -1 maxCos) 1))))))>
#<alt (/ (- 1 (pow ux 3)) (+ 1 (* ux (+ 1 ux))))>
#<alt (- (+ (* maxCos (- (* -1 (/ (+ (* -2 (pow ux 3)) (* -1 (pow ux 3))) (+ 1 (* ux (+ 1 ux))))) (/ (* (+ (* -1 (* ux (+ 1 ux))) (pow ux 2)) (- 1 (pow ux 3))) (pow (+ 1 (* ux (+ 1 ux))) 2)))) (/ 1 (+ 1 (* ux (+ 1 ux))))) (/ (pow ux 3) (+ 1 (* ux (+ 1 ux)))))>
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#<alt (* (pow maxCos 2) (+ (* -1 (/ (* ux (+ 1 ux)) maxCos)) (+ (* -1 (pow ux 2)) (+ (/ 1 (pow maxCos 2)) (+ (/ (* ux (+ 1 ux)) (pow maxCos 2)) (/ (pow ux 2) maxCos))))))>
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#<alt (pow ux 2)>
#<alt (+ (* -2 (* maxCos (pow ux 2))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (+ (* maxCos (+ (* -2 (pow ux 2)) (* maxCos (pow ux 2)))) (pow ux 2))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (+ (/ (pow ux 2) (pow maxCos 2)) (pow ux 2))))>
#<alt (* (pow maxCos 2) (pow ux 2))>
#<alt (* (pow maxCos 2) (+ (* -2 (/ (pow ux 2) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))>
#<alt (* (pow maxCos 2) (+ (* -1 (/ (+ (* -1 (/ (pow ux 2) maxCos)) (* 2 (pow ux 2))) maxCos)) (pow ux 2)))>

Calls

69 calls:

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

rewrite467.0ms (7.4%)

Memory

-7.7MiB live, 658.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 722×	`lower-*.f64`
5 714×	`lower-*.f32`
4 680×	`lower-/.f64`
4 674×	`lower-/.f32`
4 374×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	161
0	44	115
1	221	115
2	2233	115
0	9437	113

Stop Event

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

Counts

14 → 895

Calls

Call 1

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

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

simplify427.0ms (6.7%)

Memory

8.4MiB live, 750.6MiB allocated

Algorithm

1×	egg-herbie

Rules

9 376×	`lower-fma.f64`
9 376×	`lower-fma.f32`
5 936×	`lower-+.f64`
5 936×	`lower-+.f32`
5 816×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	5733
1	2689	5356
0	8470	5097

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 270

Calls

Call 1

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

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

eval201.0ms (3.2%)

Memory: 8.1MiB live, 269.8MiB allocated
Compiler: Compiled 58 777 to 3 065 computations (94.8% saved)

prune250.0ms (3.9%)

Memory

27.8MiB live, 316.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	1 241	2	1 243
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 243	5	1 248

Accuracy

100.0%

Counts

1 248 → 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))
▶	96.7%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
✓	97.8%	(-.f32 #s(literal 1 binary32) ux)
▶	98.8%	(neg.f32 (*.f32 ux (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))))
✓	73.8%	#s(literal 1 binary32)

Compiler

Compiled 49 to 36 computations (26.5% saved)

simplify87.0ms (1.4%)

Memory

-10.7MiB live, 108.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 ux ux)
✓	cost-diff	0	(.f32 ux (.f32 ux ux))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))
✓	cost-diff	64	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) maxCos)
✓	cost-diff	0	(+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))
✓	cost-diff	64	(neg.f32 (*.f32 ux (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))))
✓	cost-diff	416	(*.f32 ux (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))

Rules

1 296×	`lower-fma.f64`
1 294×	`lower-fma.f32`
616×	`lower-*.f64`
610×	`lower-*.f32`
352×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	77
0	26	71
1	62	71
2	155	70
3	377	66
4	894	66
5	1413	66
6	1830	66
7	2029	66
8	2235	66
9	2239	66
10	2239	66
0	2239	64

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize50.0ms (0.8%)

Memory

-11.3MiB live, 103.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))
✓	accuracy	99.2%	(.f32 ux (.f32 ux ux))
✓	accuracy	98.7%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) maxCos)
✓	accuracy	100.0%	(neg.f32 (*.f32 ux (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))))
✓	accuracy	99.6%	(+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux))
✓	accuracy	99.0%	(*.f32 ux (+.f32 (-.f32 #s(literal 1 binary32) maxCos) (/.f32 #s(literal -1 binary32) ux)))

Samples

26.0ms	251×	0	valid
1.0ms	4×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 82 to 18 computations (78% saved)

Precisions

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

ival-add: 5.0ms (29% of total)

ival-mult: 4.0ms (23.2% of total)

ival-div: 3.0ms (17.4% of total)

ival-sub: 3.0ms (17.4% of total)

ival-neg: 1.0ms (5.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series6.0ms (0.1%)

Memory

15.7MiB live, 15.7MiB allocated

Counts

9 → 144

Calls

Call 1

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

Outputs
#<alt -1>
#<alt (- (* ux (- 1 maxCos)) 1)>
#<alt (- (* ux (- 1 maxCos)) 1)>
#<alt (- (* ux (- 1 maxCos)) 1)>
#<alt (* ux (- 1 maxCos))>
#<alt (* ux (- 1 (+ maxCos (/ 1 ux))))>
#<alt (* ux (- 1 (+ maxCos (/ 1 ux))))>
#<alt (* ux (- 1 (+ maxCos (/ 1 ux))))>
#<alt (* ux (- 1 maxCos))>
#<alt (* -1 (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux))))>
#<alt (* -1 (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux))))>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (+ (* -1 (* maxCos ux)) (* ux (- 1 (/ 1 ux))))>
#<alt (+ (* -1 (* maxCos ux)) (* ux (- 1 (/ 1 ux))))>
#<alt (+ (* -1 (* maxCos ux)) (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* maxCos ux))>
#<alt (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos)))>
#<alt (* maxCos (+ (* -1 ux) (/ (* ux (- 1 (/ 1 ux))) maxCos)))>
#<alt (* -1 (* maxCos ux))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)))))>
#<alt (* -1 (* maxCos (+ ux (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)))))>
#<alt 1>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (+ 1 (* ux (- maxCos 1)))>
#<alt (* ux (- maxCos 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* ux (- (+ maxCos (/ 1 ux)) 1))>
#<alt (* -1 (* ux (- 1 maxCos)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* ux (+ (* -1 (- 1 maxCos)) (/ 1 ux)))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (- (* maxCos ux) (* ux (- 1 (/ 1 ux))))>
#<alt (- (* maxCos ux) (* ux (- 1 (/ 1 ux))))>
#<alt (- (* maxCos ux) (* ux (- 1 (/ 1 ux))))>
#<alt (* maxCos ux)>
#<alt (* maxCos (- (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)) (* -1 ux)))>
#<alt (* maxCos (- (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)) (* -1 ux)))>
#<alt (* maxCos (- (* -1 (/ (* ux (- 1 (/ 1 ux))) maxCos)) (* -1 ux)))>
#<alt (* maxCos ux)>
#<alt (* -1 (* maxCos (- (/ (* ux (- 1 (/ 1 ux))) maxCos) ux)))>
#<alt (* -1 (* maxCos (- (/ (* ux (- 1 (/ 1 ux))) maxCos) ux)))>
#<alt (* -1 (* maxCos (- (/ (* ux (- 1 (/ 1 ux))) maxCos) ux)))>
#<alt (- 1 (/ 1 ux))>
#<alt (- (+ 1 (* -1 maxCos)) (/ 1 ux))>
#<alt (- (+ 1 (* -1 maxCos)) (/ 1 ux))>
#<alt (- (+ 1 (* -1 maxCos)) (/ 1 ux))>
#<alt (* -1 maxCos)>
#<alt (* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))>
#<alt (* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))>
#<alt (* maxCos (- (/ 1 maxCos) (+ 1 (/ 1 (* maxCos ux)))))>
#<alt (* -1 maxCos)>
#<alt (* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))>
#<alt (* -1 (* maxCos (+ 1 (* -1 (/ (- 1 (/ 1 ux)) maxCos)))))>
#<alt (/ -1 ux)>
#<alt (/ (- (* ux (- 1 maxCos)) 1) ux)>
#<alt (/ (- (* ux (- 1 maxCos)) 1) ux)>
#<alt (/ (- (* ux (- 1 maxCos)) 1) ux)>
#<alt (- 1 maxCos)>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt (- 1 maxCos)>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt (- 1 (+ maxCos (/ 1 ux)))>
#<alt 1>
#<alt (+ 1 (* -1 maxCos))>
#<alt (+ 1 (* -1 maxCos))>
#<alt (+ 1 (* -1 maxCos))>
#<alt (* -1 maxCos)>
#<alt (* maxCos (- (/ 1 maxCos) 1))>
#<alt (* maxCos (- (/ 1 maxCos) 1))>
#<alt (* maxCos (- (/ 1 maxCos) 1))>
#<alt (* -1 maxCos)>
#<alt (* -1 (* maxCos (- 1 (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- 1 (/ 1 maxCos))))>
#<alt (* -1 (* maxCos (- 1 (/ 1 maxCos))))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (+ 1 (* -1 (pow ux 3)))>
#<alt (* -1 (pow ux 3))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* (pow ux 3) (- (/ 1 (pow ux 3)) 1))>
#<alt (* -1 (pow ux 3))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (* -1 (* (pow ux 3) (- 1 (/ 1 (pow ux 3)))))>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 3)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt (pow ux 2)>
#<alt 1>
#<alt (+ 1 ux)>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (+ 1 (* ux (+ 1 ux)))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (pow ux 2)>
#<alt (* (pow ux 2) (+ 1 (/ 1 ux)))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>
#<alt (* (pow ux 2) (+ 1 (+ (/ 1 ux) (/ 1 (pow ux 2)))))>

Calls

36 calls:

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

rewrite363.0ms (5.7%)

Memory

-1.7MiB live, 557.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 036×	`lower-/.f64`
5 032×	`lower-/.f32`
4 456×	`lower-*.f64`
4 450×	`lower-*.f32`
3 060×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
0	26	58
1	130	58
2	1210	54
0	8638	52

Stop Event

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

Counts

9 → 475

Calls

Call 1

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

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

simplify228.0ms (3.6%)

Memory

-46.1MiB live, 460.9MiB allocated

Algorithm

1×	egg-herbie

Rules

7 670×	`lower-fma.f64`
7 670×	`lower-fma.f32`
3 554×	`lower-*.f64`
3 554×	`lower-*.f32`
1 406×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	761
1	246	744
2	675	690
3	2374	690
4	5984	690
0	8293	646

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

eval81.0ms (1.3%)

Memory: 16.7MiB live, 172.9MiB allocated
Compiler: Compiled 15 570 to 1 925 computations (87.6% saved)

prune120.0ms (1.9%)

Memory

-6.2MiB live, 193.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	618	1	619
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	619	5	624

Accuracy

100.0%

Counts

624 → 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))
✓	96.7%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
✓	97.8%	(-.f32 #s(literal 1 binary32) ux)
▶	96.8%	(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
✓	73.8%	#s(literal 1 binary32)

Compiler

Compiled 47 to 35 computations (25.5% saved)

simplify15.0ms (0.2%)

Memory

-6.8MiB live, 36.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal -1 binary32) ux)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
✓	cost-diff	64	(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
✓	cost-diff	512	(*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)))

Rules

112×	`lower-fma.f64`
112×	`lower-fma.f32`
80×	`lower-*.f64`
78×	`lower-*.f32`
50×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	26
0	11	26
1	27	24
2	75	24
3	150	17
4	294	17
5	359	17
6	387	17
7	397	17
8	398	17
0	398	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.7%)

Memory

15.4MiB live, 54.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 #s(literal -1 binary32) ux)
✓	accuracy	100.0%	(neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))
✓	accuracy	99.7%	(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))
✓	accuracy	99.0%	(*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)))

Samples

36.0ms	251×	0	valid
1.0ms	5×	5	exit

Compiler

Compiled 28 to 11 computations (60.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 2.0ms (27.8% of total)

ival-mult: 2.0ms (27.8% of total)

ival-neg: 1.0ms (13.9% of total)

ival-add: 1.0ms (13.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series2.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#<alt (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux)))>
#<alt (neg.f32 (*.f32 ux (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))))>
#<alt (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) ux))>
#<alt (/.f32 #s(literal -1 binary32) ux)>

Outputs
#<alt -1>
#<alt (- ux 1)>
#<alt (- ux 1)>
#<alt (- ux 1)>
#<alt ux>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt (* ux (- 1 (/ 1 ux)))>
#<alt ux>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt (* -1 (* ux (- (/ 1 ux) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (+ 1 (* -1 ux))>
#<alt (* -1 ux)>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* ux (- (/ 1 ux) 1))>
#<alt (* -1 ux)>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (* -1 (* ux (- 1 (/ 1 ux))))>
#<alt (/ -1 ux)>
#<alt (/ (- ux 1) ux)>
#<alt (/ (- ux 1) ux)>
#<alt (/ (- ux 1) ux)>
#<alt 1>
#<alt (- 1 (/ 1 ux))>
#<alt (- 1 (/ 1 ux))>
#<alt (- 1 (/ 1 ux))>
#<alt 1>
#<alt (- 1 (/ 1 ux))>
#<alt (- 1 (/ 1 ux))>
#<alt (- 1 (/ 1 ux))>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>
#<alt (/ -1 ux)>

Calls

12 calls:

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

rewrite153.0ms (2.4%)

Memory

2.0MiB live, 172.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

1 388×	`lower-fma.f64`
1 388×	`lower-fma.f32`
1 064×	`lower-/.f64`
1 062×	`lower-/.f32`
1 054×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	46	21
2	318	14
0	3894	14

Stop Event

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

Counts

4 → 238

Calls

Call 1

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

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

simplify355.0ms (5.6%)

Memory

-10.3MiB live, 498.7MiB allocated

Algorithm

1×	egg-herbie

Rules

10 960×	`lower-fma.f64`
10 960×	`lower-fma.f32`
3 320×	`lower-+.f64`
3 320×	`lower-+.f32`
2 496×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	157
1	35	148
2	86	148
3	154	148
4	406	148
5	1733	148
6	3178	148
7	4669	148
8	5422	148
9	5800	148
10	5909	148
11	5937	148
12	6205	148
13	6358	148
14	6386	148
15	6420	148
16	6438	148
17	6458	148
18	6458	148
0	8446	148

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 46

Calls

Call 1

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

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

eval22.0ms (0.4%)

Memory: 14.6MiB live, 52.2MiB allocated
Compiler: Compiled 4 508 to 661 computations (85.3% saved)

prune69.0ms (1.1%)

Memory

-28.5MiB live, 65.0MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	283	1	284
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	284	5	289

Accuracy

100.0%

Counts

289 → 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))
✓	96.7%	(/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))) (+.f32 #s(literal 1 binary32) (fma.f32 ux ux ux)))
✓	97.8%	(-.f32 #s(literal 1 binary32) ux)
	96.8%	(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) ux)) ux)
✓	73.8%	#s(literal 1 binary32)

Compiler

Compiled 156 to 75 computations (51.9% saved)

regimes15.0ms (0.2%)

Memory

29.5MiB live, 29.5MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	uy
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	ux
3.0ms	maxCos

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory

-21.7MiB live, 16.8MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.8%	1	`ux`
97.8%	1	`uy`
97.8%	1	`maxCos`
97.8%	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

14.3MiB live, 14.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
73.8%	1	`ux`
73.8%	1	`uy`
73.8%	1	`maxCos`
73.8%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify5.0ms (0.1%)

Memory

12.1MiB live, 12.2MiB 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	7	10
1	13	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness651.0ms (10.3%)

Memory

-17.3MiB live, 252.2MiB 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	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess58.0ms (0.9%)

Memory: -0.5MiB live, 37.9MiB allocated
Remove: (abs uy)
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	26
0	11	26
1	27	24
2	75	24
3	150	17
4	294	17
5	359	17
6	387	17
7	397	17
8	398	17
0	398	17

Iter	Nodes	Cost
0	7	26
0	11	26
1	27	24
2	75	24
3	150	17
4	294	17
5	359	17
6	387	17
7	397	17
8	398	17
0	398	17

analyze73.0ms (1.2%)

sample1.0s (15.9%)

preprocess64.0ms (1%)

explain64.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize16.0ms (0.3%)

series215.0ms (3.4%)

rewrite272.0ms (4.3%)

simplify256.0ms (4%)

eval40.0ms (0.6%)

prune63.0ms (1%)

simplify432.0ms (6.8%)

localize80.0ms (1.3%)

series43.0ms (0.7%)

rewrite467.0ms (7.4%)

simplify427.0ms (6.7%)

eval201.0ms (3.2%)

prune250.0ms (3.9%)

simplify87.0ms (1.4%)

localize50.0ms (0.8%)

series6.0ms (0.1%)

rewrite363.0ms (5.7%)

simplify228.0ms (3.6%)

eval81.0ms (1.3%)

prune120.0ms (1.9%)

simplify15.0ms (0.2%)

localize47.0ms (0.7%)

series2.0ms (0%)

rewrite153.0ms (2.4%)

simplify355.0ms (5.6%)

eval22.0ms (0.4%)

prune69.0ms (1.1%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

simplify5.0ms (0.1%)

soundness651.0ms (10.3%)

preprocess58.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	26
0	11	26
1	27	24
2	75	24
3	150	17
4	294	17
5	359	17
6	387	17
7	397	17
8	398	17
0	398	17