Metrics for UniformSampleCone, z

analyze73.0ms (0.8%)

Memory

32.9MiB 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 (11.6%)

Memory

57.6MiB live, 1 347.9MiB allocated

Samples

665.0ms	8 180×	0	valid
8.0ms	76×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 443.0ms

ival-<=: 125.0ms (28.2% of total)

const: 124.0ms (28% of total)

ival-mult: 54.0ms (12.2% of total)

ival-add: 51.0ms (11.5% of total)

ival-sub: 48.0ms (10.8% of total)

ival-and: 31.0ms (7% of total)

exact: 8.0ms (1.8% of total)

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

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess64.0ms (0.7%)

Memory

15.7MiB live, 52.7MiB allocated

Algorithm

2×	egg-herbie

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
358×	`sub-neg`
248×	`cancel-sign-sub-inv`
204×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	79
1	78	70
2	215	70
3	586	70
4	1301	70
5	1688	70
6	1819	70
7	1839	70
0	6	7
1	14	7
2	32	7
3	61	7
4	140	7
5	284	7
6	420	7
7	458	7
8	463	7
0	463	6

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

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

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

Call 2

Inputs
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(+ (- 1 ux) (* ux maxCos))
(+ (- 1 ux) (* ux (neg maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(neg (+ (- 1 ux) (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ (- 1 uy) (* uy maxCos))
(+ (- 1 maxCos) (* maxCos ux))
(+ (- 1 ux) (* ux uy))

Outputs
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 (neg ux)) (* (neg ux) maxCos))
(- 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux maxCos))
(+ 1 (- (* ux maxCos) ux))
(+ (- 1 ux) (* ux (neg maxCos)))
(- 1 (+ ux (* ux maxCos)))
(neg (+ (- 1 (neg ux)) (* (neg ux) maxCos)))
(+ -1 (- (* ux maxCos) ux))
(neg (+ (- 1 ux) (* ux maxCos)))
(+ ux (- -1 (* ux maxCos)))
(neg (+ (- 1 ux) (* ux (neg maxCos))))
(+ ux (+ (* ux maxCos) -1))
(+ (- 1 uy) (* uy maxCos))
(+ 1 (* uy (+ maxCos -1)))
(+ (- 1 maxCos) (* maxCos ux))
(- 1 (- maxCos (* ux maxCos)))
(+ (- 1 ux) (* ux uy))
(- 1 (- ux (* ux uy)))

Symmetry

(abs uy)

explain65.0ms (0.8%)

Memory

-16.2MiB live, 99.7MiB 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

29.0ms	506×	0	valid
0.0ms	6×	1	valid

Compiler

Compiled 56 to 32 computations (42.9% saved)

Precisions

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

ival-sub: 4.0ms (36.8% of total)

ival-mult: 3.0ms (27.6% of total)

ival-add: 2.0ms (18.4% 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (0.3%)

Memory

-7.5MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-32	(*.f32 ux maxCos)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) ux)
✓	cost-diff	96	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Rules

384×	`accelerator-lowering-fma.f32`
384×	`accelerator-lowering-fma.f64`
160×	`-lowering-.f32`
160×	`-lowering-.f64`
120×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
1	14	16
2	32	16
3	61	16
4	140	16
5	284	16
6	420	16
7	458	16
8	463	16
0	463	15

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(+ (- 1 ux) (* ux maxCos))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
1
#s(literal 1 binary32)
ux
(* ux maxCos)
(fma.f32 ux maxCos #s(literal 0 binary32))
maxCos

localize17.0ms (0.2%)

Memory

27.1MiB live, 27.1MiB 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	253×	0	valid
0.0ms	3×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

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

ival-add: 1.0ms (23.2% of total)

ival-mult: 1.0ms (23.2% of total)

ival-sub: 1.0ms (23.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

-31.9MiB live, 5.5MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (+ (- 1 ux) (* ux maxCos))>
#<alt (- 1 ux)>
#<alt (* 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
0.0ms	ux	@	inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	-inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	(+ (- 1 ux) (* ux maxCos))
0.0ms	ux	@	0	(+ (- 1 ux) (* ux maxCos))

rewrite533.0ms (6.2%)

Memory

33.6MiB live, 467.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 750×	`accelerator-lowering-fma.f32`
5 750×	`accelerator-lowering-fma.f64`
4 062×	`-lowering-.f32`
4 062×	`-lowering-.f64`
2 014×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	39	13
2	340	13
3	5280	13
0	8979	12

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 311

Calls

Call 1

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

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

simplify285.0ms (3.3%)

Memory

11.0MiB live, 280.3MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
2 180×	`div-sub`
2 012×	`-lowering-.f32`
2 012×	`-lowering-.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

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)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(+ 1 (* ux (- maxCos 1)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- maxCos 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* ux (- (+ maxCos (/ 1 ux)) 1))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (+ 1 (* -1 maxCos))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 0 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* ux (- (+ 1 (* -1 maxCos)) (/ 1 ux))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- 1 ux)
(-.f32 #s(literal 1 binary32) ux)
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(- (+ 1 (* maxCos ux)) ux)
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos (- (+ ux (/ 1 maxCos)) (/ ux maxCos)))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(* -1 (* maxCos (+ (* -1 ux) (* -1 (/ (- 1 ux) maxCos)))))
(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
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)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))
(* maxCos ux)
(fma.f32 ux maxCos #s(literal 0 binary32))

eval43.0ms (0.5%)

Memory: -4.3MiB live, 69.5MiB allocated
Compiler: Compiled 8 179 to 766 computations (90.6% saved)

prune92.0ms (1.1%)

Memory

-34.0MiB live, 103.2MiB allocated

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	365	6	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	366	6	372

Accuracy

100.0%

Counts

372 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	98.8%	(-.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)))
▶	96.9%	(-.f32 #s(literal 1 binary32) ux)
▶	98.4%	(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (.f32 ux maxCos))
	93.6%	(+.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 ux (.f32 ux ux)) (.f32 ux (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (.f32 ux maxCos))
▶	70.7%	#s(literal 1 binary32)

Compiler

Compiled 196 to 106 computations (45.9% saved)

simplify575.0ms (6.7%)

Memory

45.4MiB live, 825.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))
✓	cost-diff	96	(-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux)))
✓	cost-diff	96	(+.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (.f32 ux maxCos))
✓	cost-diff	384	(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓	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	448	(-.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 maxCos #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))

Rules

24 722×	`accelerator-lowering-fma.f32`
24 722×	`accelerator-lowering-fma.f64`
2 872×	`+-lowering-+.f64`
2 872×	`+-lowering-+.f32`
2 646×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	140
1	62	140
2	163	120
3	551	120
4	1757	120
5	6568	120
0	8083	113

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize63.0ms (0.7%)

Memory

15.6MiB live, 133.1MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux)))
✓	accuracy	98.8%	(.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))
✓	accuracy	98.7%	(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	98.7%	(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
✓	accuracy	99.9%	(fma.f32 ux maxCos (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	accuracy	99.6%	(-.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 maxCos #s(literal -1 binary32))
✓	accuracy	100.0%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))

Samples

32.0ms	245×	0	valid
1.0ms	5×	2	valid
1.0ms	6×	1	valid

Compiler

Compiled 145 to 23 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 8.0ms (34.7% of total)

ival-add: 6.0ms (26% of total)

ival-div: 5.0ms (21.7% of total)

ival-sub: 3.0ms (13% 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)

series15.0ms (0.2%)

Memory

-10.2MiB live, 28.5MiB allocated

Counts

13 → 204

Calls

Call 1

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

Calls

51 calls:

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

rewrite520.0ms (6%)

Memory

-14.3MiB live, 718.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 074×	`-lowering-.f32`
5 074×	`-lowering-.f64`
4 022×	`/-lowering-/.f32`
4 022×	`/-lowering-/.f64`
2 348×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	166	77
2	1847	77
0	8147	69

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 1 204

Calls

Call 1

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

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

simplify382.0ms (4.4%)

Memory

22.0MiB live, 662.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 236×	`accelerator-lowering-fma.f32`
12 236×	`accelerator-lowering-fma.f64`
3 368×	`-lowering-.f32`
3 368×	`-lowering-.f64`
2 168×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	196	1594
1	608	1539
2	1831	1454
3	5687	1438
0	8274	1329

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

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

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

eval353.0ms (4.1%)

Memory: -13.2MiB live, 339.5MiB allocated
Compiler: Compiled 61 011 to 3 477 computations (94.3% saved)

prune171.0ms (2%)

Memory

17.7MiB live, 446.1MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 729	4	1 733
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	1 732	7	1 739

Accuracy

100.0%

Counts

1 739 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.9%	(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	100.0%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	95.6%	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
▶	95.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
▶	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓	96.9%	(-.f32 #s(literal 1 binary32) ux)
✓	70.7%	#s(literal 1 binary32)

Compiler

Compiled 79 to 52 computations (34.2% saved)

simplify500.0ms (5.8%)

Memory

-48.2MiB live, 749.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	cost-diff	0	(-.f32 #s(literal -1 binary32) ux)
✓	cost-diff	0	(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
✓	cost-diff	992	(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	cost-diff	0	(fma.f32 ux ux ux)
✓	cost-diff	64	(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓	cost-diff	64	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓	cost-diff	1024	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓	cost-diff	0	(+.f32 ux #s(literal 1 binary32))
✓	cost-diff	32	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	cost-diff	256	(/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
✓	cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓	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	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))

Rules

18 212×	`accelerator-lowering-fma.f32`
18 212×	`accelerator-lowering-fma.f64`
2 806×	`-lowering-.f32`
2 806×	`-lowering-.f64`
1 688×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	90
1	57	89
2	128	87
3	341	87
4	898	87
5	2431	87
6	5596	87
0	8229	84

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize77.0ms (0.9%)

Memory

18.0MiB live, 175.2MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f32 #s(literal 1 binary32) ux)
✓	accuracy	99.7%	(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	accuracy	99.1%	(/.f32 ux (-.f32 #s(literal -1 binary32) ux))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	100.0%	(neg.f32 ux)
✓	accuracy	99.7%	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓	accuracy	98.8%	(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓	accuracy	98.8%	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32))))
✓	accuracy	100.0%	(*.f32 ux ux)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) (*.f32 ux ux))
✓	accuracy	99.7%	(/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux)))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))

Samples

40.0ms	245×	0	valid
8.0ms	11×	5	exit

Compiler

Compiled 129 to 27 computations (79.1% saved)

Precisions

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

ival-div: 15.0ms (44% of total)

ival-add: 6.0ms (17.6% of total)

ival-mult: 6.0ms (17.6% of total)

ival-sub: 4.0ms (11.7% of total)

adjust: 1.0ms (2.9% of total)

ival-neg: 1.0ms (2.9% 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

12.9MiB live, 12.9MiB allocated

Counts

18 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite508.0ms (5.9%)

Memory

-32.3MiB live, 1 010.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 702×	`/-lowering-/.f32`
4 702×	`/-lowering-/.f64`
4 328×	`-lowering-.f32`
4 328×	`-lowering-.f64`
3 244×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	86
1	181	85
2	1717	85
0	8720	80

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 1 580

Calls

Call 1

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

Outputs
(neg.f32 (+.f32 ux #s(literal -1 binary32)))
(neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
(neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (-.f32 #s(literal 1 binary32) ux)))
(exp.f32 (log1p.f32 (neg.f32 ux)))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 ux)) #s(literal 1 binary32)))
(+.f32 #s(literal 1 binary32) (neg.f32 ux))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1 binary32) (neg.f32 ux)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) #s(literal 1 binary32)))
(+.f32 (neg.f32 ux) #s(literal 1 binary32))
(+.f32 (/.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 0 binary32) (.f32 ux ux))))
(+.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 #s(literal 1 binary32) ux))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))) #s(literal -1/2 binary32))
(fma.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 0 binary32) (.f32 ux ux))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 ux #s(literal -1 binary32) #s(literal 1 binary32))
(fma.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) ux)) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.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) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #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 0 binary32) (.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(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 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(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 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(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 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(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 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (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 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (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 #s(literal 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (/.f32 (.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (*.f32 ux ux))))
(fma.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (/.f32 (.f32 ux ux) #s(literal -1 binary32))) #s(literal -1 binary32)) (+.f32 ux #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.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) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.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 0 binary32) (.f32 ux ux)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))))
(-.f32 #s(literal 1 binary32) ux)
(-.f32 #s(literal 1 binary32) (/.f32 ux #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 ux #s(literal 1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 #s(literal 0 binary32) (/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 #s(literal 1 binary32) ux)) (+.f32 ux #s(literal -1 binary32)))
(-.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)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 ux ux) (+.f32 #s(literal 1 binary32) ux)) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (.f32 ux (.f32 ux ux)) (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (.f32 (.f32 ux ux) (.f32 ux (.f32 ux (.f32 ux ux)))) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux)) (/.f32 (/.f32 (.f32 ux (.f32 ux (*.f32 ux ux))) (fma.f32 ux ux #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 #s(literal 1 binary32) (.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 (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (.f32 (.f32 ux ux) (.f32 ux (.f32 ux (.f32 ux ux)))) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(-.f32 (/.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))) (/.f32 (.f32 ux (.f32 ux (.f32 ux ux))) (*.f32 (+.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 ux))) (/.f32 (*.f32 ux ux) (-.f32 #s(literal 1 binary32) (neg.f32 ux))))
(-.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (.f32 ux (fma.f32 ux ux ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 ux (fma.f32 ux ux ux)) (.f32 ux (fma.f32 ux ux ux))) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))) (/.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux))) (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal -1 binary32) ux))))
(-.f32 (/.f32 (.f32 (.f32 ux (fma.f32 ux ux ux)) (.f32 ux (fma.f32 ux ux ux))) (.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux)))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux)))))
(-.f32 (/.f32 (-.f32 (.f32 (.f32 ux (fma.f32 ux ux ux)) (.f32 ux (fma.f32 ux ux ux))) (fma.f32 ux ux ux)) (.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) ux)))) (/.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (-.f32 #s(literal -1 binary32) 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 (+.f32 #s(literal 1 binary32) ux) #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 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 ux)))
(/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux ux))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) ux) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) ux)) (+.f32 #s(literal 1 binary32) ux)))))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux (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 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32))) (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 ux ux) (.f32 ux (.f32 ux (.f32 ux ux)))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 (*.f32 ux ux) (fma.f32 ux ux #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (.f32 ux (.f32 ux (.f32 ux ux))))) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux ux #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(/.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 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux))) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux ux))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 ux ux)) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (.f32 ux ux))) (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (.f32 ux ux))) (.f32 (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (fma.f32 ux (neg.f32 ux) #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) ux)) (.f32 ux ux))) (.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal -1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (.f32 ux ux))) (.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)) (-.f32 #s(literal 0 binary32) (.f32 ux ux))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (-.f32 (.f32 (fma.f32 ux (.f32 ux ux) #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 #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32))) (.f32 ux ux))) (.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (+.f32 ux #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (*.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (*.f32 (-.f32 #s(literal 1 binary32) ux) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)) (.f32 (.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 ux ux))) (.f32 (*.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (-.f32 #s(literal 1 binary32) ux) (.f32 ux ux))) (*.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 ux ux))) (.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) ux)) (.f32 (+.f32 ux #s(literal -1 binary32)) (.f32 ux ux))) (*.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (+.f32 ux #s(literal -1 binary32))) (.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (.f32 (+.f32 ux #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) ux))) (.f32 (+.f32 ux #s(literal -1 binary32)) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (-.f32 #s(literal 1 binary32) ux)) (.f32 (+.f32 ux #s(literal -1 binary32)) #s(literal -1 binary32))) (.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) ux)))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) (.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (.f32 (+.f32 ux #s(literal -1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 ux ux) (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))) (.f32 (+.f32 ux #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) ux))) (.f32 (+.f32 ux #s(literal -1 binary32)) (neg.f32 (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 ux ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (.f32 ux (.f32 ux ux))))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux (*.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 ux ux #s(literal -1 binary32)))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (+.f32 ux #s(literal -1 binary32)))
(/.f32 (neg.f32 (.f32 (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32)))) (neg.f32 (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) ux))
(/.f32 (neg.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) ux)))) (neg.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))))
(/.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 (neg.f32 ux)) #s(literal 3 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (neg.f32 (neg.f32 ux)) (neg.f32 (neg.f32 ux))) (.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 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 (neg.f32 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 #s(literal -1 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) ux)) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (pow.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 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 ux ux #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (/.f32 (.f32 ux 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 (neg.f32 ux) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) ux))
(.f32 (-.f32 #s(literal -1 binary32) (/.f32 (.f32 ux ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(.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 (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 #s(literal 1 binary32) ux) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 ux (+.f32 ux #s(literal -1 binary32)) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 ux ux #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 ux ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
(*.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32))) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) ux))
(.f32 (pow.f32 (fma.f32 ux (.f32 ux ux) #s(literal 1 binary32)) #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 (pow.f32 (fma.f32 ux ux #s(literal -1 binary32)) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (-.f32 #s(literal -1 binary32) (/.f32 (.f32 ux ux) #s(literal -1 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal -1 binary32))) #s(literal 1 binary32)))
(.f32 (pow.f32 (/.f32 (fma.f32 ux (neg.f32 ux) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 ux (*.f32 ux ux)))) #s(literal 1 binary32)) (pow.f32 (fma.f32 ux (+.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)))

simplify442.0ms (5.1%)

Memory

8.8MiB live, 755.2MiB allocated

Algorithm

1×	egg-herbie

Rules

16 786×	`accelerator-lowering-fma.f32`
16 786×	`accelerator-lowering-fma.f64`
3 452×	`-lowering-.f32`
3 452×	`-lowering-.f64`
2 250×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	1073
1	334	963
2	948	929
3	3995	915
0	8129	888

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval237.0ms (2.7%)

Memory: 35.8MiB live, 448.0MiB allocated
Compiler: Compiled 55 489 to 4 121 computations (92.6% saved)

prune319.0ms (3.7%)

Memory

-2.6MiB live, 495.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	2 194	1	2 195
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	2 195	7	2 202

Accuracy

100.0%

Counts

2 202 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.9%	(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	100.0%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
▶	95.7%	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓	95.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓	96.9%	(-.f32 #s(literal 1 binary32) ux)
✓	70.7%	#s(literal 1 binary32)

Compiler

Compiled 78 to 54 computations (30.8% saved)

simplify454.0ms (5.2%)

Memory

-21.0MiB live, 578.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(neg.f32 ux)
✓	cost-diff	0	(fma.f32 ux ux ux)
✓	cost-diff	0	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓	cost-diff	64	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))

Rules

12 608×	`accelerator-lowering-fma.f32`
12 608×	`accelerator-lowering-fma.f64`
2 248×	`-lowering-.f32`
2 248×	`-lowering-.f64`
2 028×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	34	53
2	75	53
3	212	49
4	418	49
5	819	49
6	1560	49
7	3169	49
8	4949	49
9	6198	49
10	6376	49
11	6639	49
12	6793	49
13	6891	49
14	7674	49
0	8052	44

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(+ (* ux ux) ux)
ux
(neg ux)
(+ ux 1)
1
(+ (* ux (+ ux 2)) 1)
(+ ux 2)
2

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

localize36.0ms (0.4%)

Memory

10.6MiB live, 87.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(neg.f32 ux)
✓	accuracy	99.9%	(fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32))
✓	accuracy	99.7%	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓	accuracy	98.7%	(/.f32 (fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32))) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))

Samples

20.0ms	245×	0	valid
1.0ms	11×	1	valid

Compiler

Compiled 50 to 17 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-add: 6.0ms (44.7% of total)

ival-mult: 5.0ms (37.2% of total)

ival-div: 2.0ms (14.9% of total)

ival-neg: 1.0ms (7.4% 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)

series2.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated

Counts

5 → 60

Calls

Call 1

Inputs
#<alt (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))>
#<alt (/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))>
#<alt (+ (* ux ux) ux)>
#<alt (neg ux)>
#<alt (+ (* ux (+ ux 2)) 1)>

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

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	ux	@	-inf	(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms	ux	@	0	(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms	ux	@	inf	(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
0.0ms	ux	@	0	(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
0.0ms	ux	@	-inf	(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))

rewrite602.0ms (7%)

Memory

24.0MiB live, 1 102.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

14 052×	`accelerator-lowering-fma.f32`
14 052×	`accelerator-lowering-fma.f64`
4 680×	`-lowering-.f32`
4 680×	`-lowering-.f64`
3 484×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	46
1	97	44
2	866	41
0	8417	37

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 481

Calls

Call 1

Inputs
(+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1))
(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (+ (* ux (+ ux 2)) 1))
(+ (* ux ux) ux)
(neg ux)
(+ (* ux (+ ux 2)) 1)

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

simplify301.0ms (3.5%)

Memory

-16.7MiB live, 513.0MiB allocated

Algorithm

1×	egg-herbie

Rules

7 724×	`accelerator-lowering-fma.f32`
7 724×	`accelerator-lowering-fma.f64`
2 572×	`-lowering-.f32`
2 572×	`-lowering-.f64`
1 684×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	295
1	186	279
2	573	256
3	2030	250
4	5581	250
0	8177	231

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval56.0ms (0.7%)

Memory: 12.7MiB live, 127.6MiB allocated
Compiler: Compiled 19 397 to 1 583 computations (91.8% saved)

prune72.0ms (0.8%)

Memory

-25.4MiB live, 172.6MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	540	1	541
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	541	7	548

Accuracy

100.0%

Counts

548 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	95.9%	(fma.f32 ux (/.f32 ux (-.f32 #s(literal -1 binary32) ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) ux)))
✓	100.0%	(fma.f32 ux (+.f32 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
	95.7%	(/.f32 (fma.f32 ux (fma.f32 ux (-.f32 #s(literal -1 binary32) ux) #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 ux (+.f32 ux #s(literal 2 binary32)) #s(literal 1 binary32)))
✓	95.7%	(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 ux #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 ux ux))))
✓	95.9%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓	96.9%	(-.f32 #s(literal 1 binary32) ux)
✓	70.7%	#s(literal 1 binary32)

Compiler

Compiled 248 to 104 computations (58.1% saved)

regimes19.0ms (0.2%)

Memory

-2.9MiB live, 36.9MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes5.0ms (0.1%)

Memory

12.2MiB live, 12.2MiB 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

3 calls:

2.0ms	maxCos
1.0ms	ux
1.0ms	uy

Results

Accuracy	Segments	Branch
96.9%	1	`ux`
96.9%	1	`uy`
96.9%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Memory

10.9MiB live, 10.9MiB 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

3 calls:

1.0ms	maxCos
1.0ms	ux
1.0ms	uy

Results

Accuracy	Segments	Branch
70.7%	1	`ux`
70.7%	1	`uy`
70.7%	1	`maxCos`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify8.0ms (0.1%)

Memory

-24.5MiB live, 14.8MiB 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 maxCos #s(literal -1 binary32)) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) ux)
#s(literal 1 binary32)

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

soundness699.0ms (8.1%)

Memory

-1.8MiB live, 201.7MiB allocated

Rules

5 316×	`accelerator-lowering-fma.f32`
5 316×	`accelerator-lowering-fma.f64`
2 180×	`div-sub`
2 012×	`-lowering-.f32`
2 012×	`-lowering-.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

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 26 to 20 computations (23.1% saved)

preprocess19.0ms (0.2%)

Memory: 7.7MiB live, 45.5MiB allocated
Remove: (abs uy)
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze73.0ms (0.8%)

sample1.0s (11.6%)

preprocess64.0ms (0.7%)

explain65.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize17.0ms (0.2%)

series5.0ms (0.1%)

rewrite533.0ms (6.2%)

simplify285.0ms (3.3%)

eval43.0ms (0.5%)

prune92.0ms (1.1%)

simplify575.0ms (6.7%)

localize63.0ms (0.7%)

series15.0ms (0.2%)

rewrite520.0ms (6%)

simplify382.0ms (4.4%)

eval353.0ms (4.1%)

prune171.0ms (2%)

simplify500.0ms (5.8%)

localize77.0ms (0.9%)

series6.0ms (0.1%)

rewrite508.0ms (5.9%)

simplify442.0ms (5.1%)

eval237.0ms (2.7%)

prune319.0ms (3.7%)

simplify454.0ms (5.2%)

localize36.0ms (0.4%)

series2.0ms (0%)

rewrite602.0ms (7%)

simplify301.0ms (3.5%)

eval56.0ms (0.7%)

prune72.0ms (0.8%)

regimes19.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

simplify8.0ms (0.1%)

soundness699.0ms (8.1%)

preprocess19.0ms (0.2%)

end0.0ms (0%)

Profiling