Metrics for UniformSampleCone, z

analyze92.0ms (1.3%)

Memory

1.8MiB live, 113.8MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

sample1.0s (15%)

Memory

64.1MiB live, 1 391.1MiB allocated

Samples

659.0ms	8 181×	0	valid
8.0ms	75×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

const: 131.0ms (29.7% of total)

ival-<=: 121.0ms (27.5% of total)

ival-mult: 58.0ms (13.2% of total)

ival-add: 47.0ms (10.7% of total)

ival-sub: 43.0ms (9.8% of total)

ival-and: 30.0ms (6.8% of total)

exact: 7.0ms (1.6% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess65.0ms (0.9%)

Memory

16.2MiB live, 53.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	72
1	78	63
2	215	63
3	586	63
4	1301	63
5	1679	63
6	1809	63
7	1829	63
0	6	7
0	9	7
1	17	7
2	35	7
3	64	7
4	143	7
5	290	7
6	426	7
7	464	7
8	469	7
0	469	6

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

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

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

Symmetry

(abs uy)

explain295.0ms (4.2%)

Memory

-37.0MiB live, 100.2MiB 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

25.0ms	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: 9.0ms

ival-mult: 3.0ms (34.2% of total)

ival-add: 2.0ms (22.8% of total)

ival-sub: 2.0ms (22.8% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 7 computations (30% saved)

simplify22.0ms (0.3%)

Memory

-8.2MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	35	16
3	64	16
4	143	16
5	290	16
6	426	16
7	464	16
8	469	16
0	469	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.2%)

Memory

27.3MiB live, 27.3MiB allocated

Localize:

Found 3 expressions of interest:

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

Samples

10.0ms	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 (23.7% of total)

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

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

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

-31.8MiB live, 5.7MiB allocated

Counts

3 → 60

Calls

Call 1

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

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	ux	@	0	(+ (- 1 ux) (* ux maxCos))
0.0ms	maxCos	@	inf	(+ (- 1 ux) (* ux maxCos))

rewrite277.0ms (4%)

Memory

53.2MiB live, 394.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Counts

3 → 311

Calls

Call 1

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

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

simplify264.0ms (3.8%)

Memory

20.4MiB live, 279.7MiB allocated

Algorithm

1×	egg-herbie

Rules

5 316×	`lower-fma.f64`
5 316×	`lower-fma.f32`
2 180×	`div-sub`
2 012×	`lower-*.f64`
2 012×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval43.0ms (0.6%)

Memory: -16.8MiB live, 67.6MiB allocated
Compiler: Compiled 8 109 to 762 computations (90.6% saved)

prune70.0ms (1%)

Memory

-27.5MiB live, 102.3MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	366	5	371
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	367	5	372

Accuracy

100.0%

Counts

372 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	96.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
▶	98.6%	(-.f32 #s(literal 1 binary32) ux)
▶	98.3%	(+.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))
▶	70.6%	#s(literal 1 binary32)

Compiler

Compiled 140 to 84 computations (40% saved)

simplify529.0ms (7.6%)

Memory

54.2MiB live, 675.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
✓	cost-diff	0	(/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux))))
✓	cost-diff	64	(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
✓	cost-diff	64	(.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))
✓	cost-diff	64	(+.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	96	(-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux)))
✓	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) maxCos)
✓	cost-diff	0	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))

Rules

19 866×	`lower-fma.f64`
19 858×	`lower-fma.f32`
3 828×	`lower-*.f64`
3 818×	`lower-*.f32`
2 902×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	190
0	46	190
1	102	190
2	303	166
3	1132	166
4	4187	166
0	8063	159

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.1%)

Memory

1.4MiB live, 158.6MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	99.7%	(*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux))
✓	accuracy	99.4%	(/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux))))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 ux maxCos (+.f32 #s(literal 1 binary32) ux)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 ux maxCos (neg.f32 ux)) (fma.f32 ux (neg.f32 maxCos) ux)))))
✓	accuracy	99.6%	(-.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux)))
✓	accuracy	98.9%	(.f32 (+.f32 #s(literal 1 binary32) ux) (.f32 ux ux))
✓	accuracy	98.6%	(*.f32 (+.f32 #s(literal 1 binary32) ux) (+.f32 #s(literal 1 binary32) ux))
✓	accuracy	98.4%	(/.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	100.0%	(-.f32 #s(literal 1 binary32) ux)
✓	accuracy	100.0%	(+.f32 #s(literal -1 binary32) maxCos)
✓	accuracy	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))

Samples

41.0ms	245×	0	valid
3.0ms	11×	1	valid

Compiler

Compiled 206 to 29 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-add: 10.0ms (34.8% of total)

ival-mult: 10.0ms (34.8% of total)

ival-div: 4.0ms (13.9% of total)

ival-sub: 2.0ms (7% of total)

ival-neg: 2.0ms (7% of total)

adjust: 1.0ms (3.5% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory

1.3MiB live, 39.9MiB allocated

Counts

11 → 192

Calls

Call 1

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

Calls

48 calls:

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

rewrite457.0ms (6.5%)

Memory

-18.8MiB live, 522.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 110×	`lower-/.f64`
5 104×	`lower-/.f32`
4 542×	`lower-fma.f64`
4 534×	`lower-fma.f32`
4 502×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	115
0	43	97
1	215	95
2	1994	83
0	8940	81

Stop Event

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

Counts

11 → 1 096

Calls

Call 1

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

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

simplify388.0ms (5.5%)

Memory

-7.9MiB live, 590.8MiB allocated

Algorithm

1×	egg-herbie

Rules

7 390×	`lower-fma.f64`
7 390×	`lower-fma.f32`
4 956×	`lower-*.f64`
4 956×	`lower-*.f32`
3 108×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	497	3425
1	1667	3115
2	5904	2963
0	8369	2828

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 190

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

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

eval192.0ms (2.7%)

Memory: 21.4MiB live, 289.9MiB allocated
Compiler: Compiled 50 521 to 4 164 computations (91.8% saved)

prune210.0ms (3%)

Memory

-6.2MiB live, 433.6MiB allocated

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	1 283	3	1 286
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	1 285	6	1 291

Accuracy

100.0%

Counts

1 291 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	99.9%	(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
▶	97.1%	(/.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))))
▶	97.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓	98.6%	(-.f32 #s(literal 1 binary32) ux)
✓	70.6%	#s(literal 1 binary32)

Compiler

Compiled 61 to 40 computations (34.4% saved)

simplify423.0ms (6%)

Memory

18.2MiB live, 610.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 ux maxCos)
✓	cost-diff	0	(-.f32 ux (/.f32 ux maxCos))
✓	cost-diff	352	(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
✓	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	96	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓	cost-diff	448	(/.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 #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

18 208×	`lower-fma.f64`
18 202×	`lower-fma.f32`
3 968×	`lower-*.f64`
3 966×	`lower-*.f32`
1 494×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	82
0	30	78
1	59	78
2	129	76
3	330	68
4	836	67
5	2172	67
6	5618	67
0	8124	63

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.8%)

Memory

7.6MiB live, 125.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 ux maxCos)
✓	accuracy	100.0%	(fma.f32 maxCos (-.f32 ux (/.f32 ux maxCos)) #s(literal 1 binary32))
✓	accuracy	99.8%	(-.f32 ux (/.f32 ux maxCos))
✓	accuracy	100.0%	(neg.f32 ux)
✓	accuracy	99.6%	(fma.f32 (fma.f32 ux ux ux) (neg.f32 ux) (+.f32 ux #s(literal 1 binary32)))
✓	accuracy	98.6%	(*.f32 (+.f32 ux #s(literal 1 binary32)) (+.f32 ux #s(literal 1 binary32)))
✓	accuracy	98.5%	(/.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 #s(literal 1 binary32) ux)
✓	accuracy	99.5%	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))

Samples

31.0ms	248×	0	valid
4.0ms	8×	5	exit

Compiler

Compiled 90 to 21 computations (76.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 8.0ms (34% of total)

ival-div: 7.0ms (29.7% of total)

ival-add: 4.0ms (17% of total)

ival-sub: 2.0ms (8.5% of total)

adjust: 1.0ms (4.2% of total)

ival-neg: 1.0ms (4.2% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

-18.8MiB live, 20.0MiB allocated

Counts

10 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	ux	@	-inf	(+ (* maxCos (- ux (/ ux maxCos))) 1)
2.0ms	ux	@	0	(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))
0.0ms	ux	@	inf	(/ (+ (* (+ (* ux ux) ux) (neg ux)) (+ ux 1)) (* (+ ux 1) (+ ux 1)))
0.0ms	ux	@	0	(- ux (/ ux maxCos))
0.0ms	ux	@	-inf	(/ ux maxCos)

rewrite427.0ms (6.1%)

Memory

-13.5MiB live, 698.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 180×	`lower-fma.f64`
5 174×	`lower-fma.f32`
4 852×	`lower-/.f64`
4 844×	`lower-/.f32`
3 972×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	68
0	30	47
1	149	47
2	1192	47
0	8369	47

Stop Event

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

Counts

10 → 1 167

Calls

Call 1

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

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

simplify442.0ms (6.3%)

Memory

-8.2MiB live, 710.2MiB allocated

Algorithm

1×	egg-herbie

Rules

18 980×	`lower-fma.f64`
18 980×	`lower-fma.f32`
4 078×	`lower-*.f64`
4 078×	`lower-*.f32`
2 050×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	111	809
1	339	716
2	1024	689
3	3510	683
4	7625	683
0	8207	653

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 154

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

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

eval168.0ms (2.4%)

Memory: 2.8MiB live, 285.1MiB allocated
Compiler: Compiled 45 209 to 3 291 computations (92.7% saved)

prune247.0ms (3.5%)

Memory

-9.0MiB live, 302.3MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 319	2	1 321
Fresh	0	0	0
Picked	2	1	3
Done	0	3	3
Total	1 321	6	1 327

Accuracy

100.0%

Counts

1 327 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)) #s(literal 1 binary32))
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
▶	98.5%	(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
✓	97.3%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux)))
✓	98.6%	(-.f32 #s(literal 1 binary32) ux)
✓	70.6%	#s(literal 1 binary32)

Compiler

Compiled 54 to 40 computations (25.9% saved)

simplify196.0ms (2.8%)

Memory

35.4MiB live, 299.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 ux ux)
✓	cost-diff	32	(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
✓	cost-diff	96	(+.f32 #s(literal 0 binary32) ux)
✓	cost-diff	672	(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)) #s(literal 1 binary32))
✓	cost-diff	0	(neg.f32 maxCos)
✓	cost-diff	0	(/.f32 ux (neg.f32 maxCos))
✓	cost-diff	512	(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))

Rules

5 902×	`lower-*.f64`
5 900×	`lower-*.f32`
1 566×	`lower-fma.f64`
1 562×	`lower-fma.f32`
1 536×	`div-sub`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	47
0	22	37
1	46	37
2	107	37
3	246	29
4	372	29
5	854	29
6	2442	29
7	3658	29
8	5323	29
9	7546	29
0	8013	29

Stop Event

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

Calls

Call 1

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

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

localize94.0ms (1.3%)

Memory

-21.0MiB live, 78.5MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f32 #s(literal 0 binary32) (*.f32 ux ux))
✓	accuracy	100.0%	(+.f32 #s(literal 0 binary32) ux)
✓	accuracy	100.0%	(*.f32 ux ux)
✓	accuracy	100.0%	(fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)) #s(literal 1 binary32))
✓	accuracy	100.0%	(/.f32 ux (neg.f32 maxCos))
✓	accuracy	100.0%	(neg.f32 maxCos)
✓	accuracy	100.0%	(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))

Samples

22.0ms	248×	0	valid
4.0ms	8×	5	exit

Compiler

Compiled 51 to 17 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (31% of total)

ival-div: 4.0ms (24.8% of total)

ival-add: 3.0ms (18.6% of total)

adjust: 1.0ms (6.2% of total)

ival-sub: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% 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

6.0MiB live, 6.0MiB allocated

Counts

7 → 108

Calls

Call 1

Inputs
#<alt (fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))>
#<alt (neg.f32 maxCos)>
#<alt (/.f32 ux (neg.f32 maxCos))>
#<alt (fma.f32 (-.f32 #s(literal 0 binary32) (*.f32 ux ux)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) ux)) #s(literal 1 binary32))>
#<alt (*.f32 ux ux)>
#<alt (+.f32 #s(literal 0 binary32) ux)>
#<alt (-.f32 #s(literal 0 binary32) (*.f32 ux ux))>

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

Calls

27 calls:

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

rewrite105.0ms (1.5%)

Memory

-31.8MiB live, 84.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

390×	`lower-/.f64`
386×	`lower-/.f32`
378×	`lower-*.f64`
376×	`lower-*.f32`
344×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	22	29
1	109	25
0	915	25

Stop Event

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

Counts

7 → 169

Calls

Call 1

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

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

simplify28.0ms (0.4%)

Memory

2.9MiB live, 40.8MiB allocated

Algorithm

1×	egg-herbie

Rules

200×	`lower-fma.f64`
200×	`lower-fma.f32`
168×	`lower-*.f64`
168×	`lower-*.f32`
82×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	346
1	40	316
2	82	316
3	141	316
4	229	316
5	378	316
6	502	316
7	543	316
8	546	316
9	549	316
10	550	316
0	550	316

Stop Event

1×	iter limit
1×	saturated

Counts

108 → 96

Calls

Call 1

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

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

eval22.0ms (0.3%)

Memory: 18.7MiB live, 54.4MiB allocated
Compiler: Compiled 3 460 to 473 computations (86.3% saved)

prune28.0ms (0.4%)

Memory

-3.0MiB live, 77.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	263	2	265
Fresh	0	0	0
Picked	1	1	2
Done	1	3	4
Total	265	6	271

Accuracy

100.0%

Counts

271 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f32 (/.f32 #s(literal 1 binary32) ux) (*.f32 ux (neg.f32 ux)) #s(literal 1 binary32))
	98.1%	(fma.f32 (*.f32 maxCos ux) (/.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	100.0%	(fma.f32 ux (+.f32 #s(literal -1 binary32) maxCos) #s(literal 1 binary32))
✓	98.5%	(fma.f32 maxCos (/.f32 ux (neg.f32 maxCos)) #s(literal 1 binary32))
✓	98.6%	(-.f32 #s(literal 1 binary32) ux)
✓	70.6%	#s(literal 1 binary32)

Compiler

Compiled 186 to 88 computations (52.7% saved)

regimes19.0ms (0.3%)

Memory

6.7MiB live, 45.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

5.0ms	uy
4.0ms	maxCos
4.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
4.0ms	ux

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes6.0ms (0.1%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes7.0ms (0.1%)

Memory

-19.9MiB live, 17.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 1 binary32)

Outputs
#s(literal 1 binary32)

Calls

4 calls:

3.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	maxCos
1.0ms	ux
1.0ms	uy

Results

Accuracy	Segments	Branch
70.6%	1	`ux`
70.6%	1	`uy`
70.6%	1	`maxCos`
70.6%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`

Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify6.0ms (0.1%)

Memory

13.5MiB live, 13.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	16	10
3	18	10
4	19	10

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness626.0ms (8.9%)

Memory

-6.6MiB live, 285.5MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	250
1	110	250
2	306	250
3	852	250
4	2100	250
5	3316	250
6	4299	250
7	5328	250
8	6757	250
9	7301	250
10	7633	250
11	7955	250
0	8006	232
0	6	13
0	9	13
1	42	13
2	343	13
3	5268	13
0	8968	12

Stop Event

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

Compiler

Compiled 32 to 24 computations (25% saved)

preprocess20.0ms (0.3%)

Memory: -6.4MiB live, 70.9MiB allocated
Remove: (abs uy)
Compiler: Compiled 64 to 44 computations (31.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	346
1	40	316
2	82	316
3	141	316
4	229	316
5	378	316
6	502	316
7	543	316
8	546	316
9	549	316
10	550	316
0	550	316

Iter	Nodes	Cost
0	18	346
1	40	316
2	82	316
3	141	316
4	229	316
5	378	316
6	502	316
7	543	316
8	546	316
9	549	316
10	550	316
0	550	316

analyze92.0ms (1.3%)

sample1.0s (15%)

preprocess65.0ms (0.9%)

explain295.0ms (4.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify22.0ms (0.3%)

localize17.0ms (0.2%)

series5.0ms (0.1%)

rewrite277.0ms (4%)

simplify264.0ms (3.8%)

eval43.0ms (0.6%)

prune70.0ms (1%)

simplify529.0ms (7.6%)

localize76.0ms (1.1%)

series21.0ms (0.3%)

rewrite457.0ms (6.5%)

simplify388.0ms (5.5%)

eval192.0ms (2.7%)

prune210.0ms (3%)

simplify423.0ms (6%)

localize53.0ms (0.8%)

series9.0ms (0.1%)

rewrite427.0ms (6.1%)

simplify442.0ms (6.3%)

eval168.0ms (2.4%)

prune247.0ms (3.5%)

simplify196.0ms (2.8%)

localize94.0ms (1.3%)

series2.0ms (0%)

rewrite105.0ms (1.5%)

simplify28.0ms (0.4%)

eval22.0ms (0.3%)

prune28.0ms (0.4%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

simplify6.0ms (0.1%)

soundness626.0ms (8.9%)

preprocess20.0ms (0.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	346
1	40	316
2	82	316
3	141	316
4	229	316
5	378	316
6	502	316
7	543	316
8	546	316
9	549	316
10	550	316
0	550	316