Metrics for UniformSampleCone, z

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze137.0ms (1.8%)

Memory

7.0MiB live, 102.1MiB allocated; 229ms collecting garbage

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)

sample1.3s (16.9%)

Memory

64.3MiB live, 1 335.1MiB allocated; 849ms collecting garbage

Samples

943.0ms	8 191×	0	valid
7.0ms	65×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 732.0ms

const: 425.0ms (58.1% of total)

ival-<=: 117.0ms (16% of total)

ival-mult: 61.0ms (8.3% of total)

ival-sub: 47.0ms (6.4% of total)

ival-add: 39.0ms (5.3% of total)

ival-and: 30.0ms (4.1% of total)

exact: 7.0ms (1% of total)

adjust: 4.0ms (0.5% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain59.0ms (0.8%)

Memory

-1.2MiB live, 89.1MiB allocated; 11ms collecting garbage

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

24.0ms	504×	0	valid
1.0ms	8×	1	valid

Compiler

Compiled 43 to 25 computations (41.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (51.9% of total)

ival-add: 2.0ms (17.3% of total)

ival-sub: 2.0ms (17.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess566.0ms (7.5%)

Memory

24.3MiB live, 478.4MiB allocated; 110ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	70
1	75	68
2	159	68
3	281	64
4	570	63
5	1714	63
6	5304	63
0	6	7
0	9	7
1	18	7
2	33	7
3	64	7
4	152	7
5	528	7
6	4374	7
0	8181	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs uy)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify640.0ms (8.5%)

Memory

12.9MiB live, 522.8MiB allocated; 298ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	18	16
2	33	16
3	64	16
4	152	16
5	528	16
6	4374	16
0	8181	15

Stop Event

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

Calls

Call 1

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

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

localize18.0ms (0.2%)

Memory

-28.1MiB live, 30.1MiB allocated; 4ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.0	(*.f32 ux maxCos)
accuracy	0.04296875	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))

Samples

13.0ms	252×	0	valid
0.0ms	4×	1	valid

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 1.0ms (22.1% of total)

ival-mult: 1.0ms (22.1% of total)

ival-sub: 1.0ms (22.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series4.0ms (0%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Counts

3 → 15

Calls

Call 1

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

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

Calls

9 calls:

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

simplify295.0ms (3.9%)

Memory

22.3MiB live, 205.4MiB allocated; 29ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	74
1	110	70
2	309	70
3	923	70
4	3940	70
0	8288	64

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

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

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

rewrite282.0ms (3.7%)

Memory

-27.8MiB live, 59.6MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	44	13
0	344	12

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

3 → 29

Calls

Call 1

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

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

eval3.0ms (0%)

Memory: 7.7MiB live, 7.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 570 to 116 computations (79.6% saved)

prune4.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	8	37

Accuracy

100.0%

Counts

37 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
▶	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
	98.6%	(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 ux #s(literal 3 binary32))) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (*.f32 ux maxCos))
▶	98.7%	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
▶	98.6%	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (.f32 ux maxCos))
	97.9%	#s(approx (+ (- 1 ux) (* ux maxCos)) (-.f32 #s(literal 1 binary32) ux))
▶	71.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 190 to 148 computations (22.1% saved)

simplify248.0ms (3.3%)

Memory

27.4MiB live, 204.3MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
cost-diff	1	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))) (*.f32 ux maxCos))
cost-diff	6	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
cost-diff	0	(+.f32 ux #s(literal 1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
cost-diff	1	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (.f32 ux maxCos))
cost-diff	5	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
cost-diff	0	(fma.f32 maxCos ux #s(literal 1 binary32))
cost-diff	0	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
cost-diff	0	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
cost-diff	0	(*.f32 maxCos ux)
cost-diff	0	(-.f32 ux (*.f32 maxCos ux))
cost-diff	1	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	175
0	46	173
1	83	171
2	163	171
3	418	167
4	967	153
5	4024	153
0	8040	149

Stop Event

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

Calls

Call 1

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

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

localize267.0ms (3.5%)

Memory

-15.4MiB live, 191.1MiB allocated; 38ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.01953125	(+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))
accuracy	0.046875	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))))
accuracy	0.28515625	(/.f32 (pow.f32 ux #s(literal 3 binary32)) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.3984375	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.0078125	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (.f32 ux maxCos))
accuracy	0.09500753162065376	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
accuracy	0.39748002930532605	(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
accuracy	0.4140625	(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy	0.0	(fma.f32 maxCos ux #s(literal 1 binary32))
accuracy	0.03515625	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
accuracy	8.302960748783958	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
accuracy	0.0	(*.f32 maxCos ux)
accuracy	0.00390625	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
accuracy	0.01171875	(-.f32 ux (*.f32 maxCos ux))

Samples

158.0ms	245×	0	valid
9.0ms	11×	5	exit

Compiler

Compiled 185 to 28 computations (84.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-pow: 15.0ms (28.6% of total)

ival-sub: 14.0ms (26.7% of total)

ival-add: 8.0ms (15.3% of total)

ival-div: 7.0ms (13.4% of total)

adjust: 4.0ms (7.6% of total)

ival-mult: 4.0ms (7.6% of total)

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

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

exact: 0.0ms (0% of total)

series160.0ms (2.1%)

Memory

-10.1MiB live, 32.5MiB allocated; 6ms collecting garbage

Counts

16 → 75

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
150.0ms	ux	@	inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (- (+ (* maxCos ux) 1) ux) (+ (* maxCos ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (* ux ux) (+ ux 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)))
2.0ms	ux	@	-inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (- (+ (* maxCos ux) 1) ux) (+ (* maxCos ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (* ux ux) (+ ux 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)))
2.0ms	maxCos	@	0	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (- (+ (* maxCos ux) 1) ux) (+ (* maxCos ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (* ux ux) (+ ux 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)))
2.0ms	ux	@	0	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (- (+ (* maxCos ux) 1) ux) (+ (* maxCos ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (* ux ux) (+ ux 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)))
1.0ms	maxCos	@	-inf	((- 1 (- ux (* maxCos ux))) (- ux (* maxCos ux)) (* maxCos ux) (+ (- 1 ux) (* ux maxCos)) (- (+ (* maxCos ux) 1) ux) (+ (* maxCos ux) 1) (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (/ 1 (+ ux 1)) (+ ux 1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (+ (+ (* ux ux) ux) 1) (/ (* ux ux) (+ ux 1)) (/ (pow ux 3) (+ (+ (* ux ux) ux) 1)))

simplify277.0ms (3.7%)

Memory

-7.7MiB live, 278.5MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	752
1	548	730
2	1650	692
3	6592	683
0	8097	640

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 74

Calls

Call 1

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

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

rewrite87.0ms (1.2%)

Memory

13.8MiB live, 104.9MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	145
0	46	89
1	262	89
0	2437	89

Stop Event

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

Counts

16 → 478

Calls

Call 1

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

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

eval94.0ms (1.2%)

Memory: -13.0MiB live, 87.4MiB allocated; 15ms collecting garbage
Compiler: Compiled 9 106 to 1 360 computations (85.1% saved)

prune9.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	376	6	382
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	380	10	390

Accuracy

100.0%

Counts

390 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	99.8%	(-.f32 (fma.f32 maxCos ux #s(literal 1 binary32)) ux)
✓	99.9%	(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
	98.4%	(+.f32 (/.f32 (/.f32 (-.f32 (-.f32 ux #s(literal -1 binary32)) (.f32 (fma.f32 ux ux ux) ux)) (-.f32 ux #s(literal -1 binary32))) (-.f32 ux #s(literal -1 binary32))) (.f32 ux maxCos))
	98.7%	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))) (*.f32 ux maxCos))
▶	95.1%	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32))) #s(approx (/ (* ux ux) (+ ux 1)) (.f32 (.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) ux) ux))) (*.f32 ux maxCos))
▶	93.1%	(+.f32 (-.f32 #s(approx (/ 1 (+ ux 1)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32))) (/.f32 (.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))) (.f32 ux maxCos))
▶	97.9%	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
▶	98.6%	#s(approx (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (fma.f32 ux (-.f32 maxCos (/.f32 ux (-.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))))
✓	71.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))

Compiler

Compiled 330 to 222 computations (32.7% saved)

simplify454.0ms (6%)

Memory

2.7MiB live, 381.3MiB allocated; 96ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	337
0	63	336
1	101	332
2	192	332
3	518	331
4	1934	321
5	5985	321
0	8051	307

Stop Event

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

Calls

Call 1

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

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

localize133.0ms (1.8%)

Memory

-32.3MiB live, 111.8MiB allocated; 27ms collecting garbage

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) ux)
accuracy	0.203125	(.f32 (.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) ux) ux)
accuracy	0.4140625	(/.f32 #s(literal 1 binary32) (+.f32 ux #s(literal 1 binary32)))
accuracy	1.5530236330255385	#s(approx (/ (* ux ux) (+ ux 1)) (.f32 (.f32 (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)) ux) ux))
accuracy	0.021816259768442016	(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32))
accuracy	0.09500753162065376	(-.f32 #s(approx (/ 1 (+ ux 1)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32))) (/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32))))
accuracy	0.39748002930532605	(/.f32 (*.f32 ux ux) (+.f32 ux #s(literal 1 binary32)))
accuracy	1.610911405807639	#s(approx (/ 1 (+ ux 1)) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) ux) ux #s(literal -1 binary32)) ux #s(literal 1 binary32)))
accuracy	0.046875	(-.f32 maxCos (/.f32 ux (-.f32 ux #s(literal -1 binary32))))
accuracy	0.09603500976844202	(fma.f32 ux (-.f32 maxCos (/.f32 ux (-.f32 ux #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))))
accuracy	0.26171875	(/.f32 ux (-.f32 ux #s(literal -1 binary32)))
accuracy	0.4140625	(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.5198254870640804	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
accuracy	0.0	(-.f32 #s(literal 1 binary32) ux)
accuracy	0.0078125	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))

Samples

99.0ms	245×	0	valid
9.0ms	11×	5	exit

Compiler

Compiled 260 to 31 computations (88.1% saved)

Precisions

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

ival-mult: 11.0ms (30.6% of total)

ival-div: 7.0ms (19.5% of total)

ival-sub: 7.0ms (19.5% of total)

ival-add: 7.0ms (19.5% of total)

adjust: 4.0ms (11.1% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated; 0ms collecting garbage

Counts

19 → 86

Calls

Call 1

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

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

Calls

9 calls:

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

simplify164.0ms (2.2%)

Memory

-1.2MiB live, 191.8MiB allocated; 45ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	966
1	532	858
2	1736	850
3	5490	842
0	8200	814

Stop Event

1×	iter limit
1×	node limit

Counts

86 → 84

Calls

Call 1

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

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

rewrite105.0ms (1.4%)

Memory

7.7MiB live, 100.4MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	272
0	63	260
1	298	258
0	2676	257

Stop Event

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

Counts

19 → 262

Calls

Call 1

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

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

eval163.0ms (2.2%)

Memory: -17.6MiB live, 177.1MiB allocated; 24ms collecting garbage
Compiler: Compiled 18 244 to 1 887 computations (89.7% saved)

prune10.0ms (0.1%)

Memory

-12.0MiB live, 34.7MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	489	4	493
Fresh	1	1	2
Picked	3	2	5
Done	2	1	3
Total	495	8	503

Accuracy

100.0%

Counts

503 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
▶	98.7%	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))) (*.f32 ux maxCos))
▶	96.7%	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))))
✓	97.9%	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
▶	97.0%	#s(approx (- 1 (- ux (* maxCos ux))) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
▶	98.7%	#s(approx (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos))
✓	71.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
▶	99.9%	#s(approx (+ (* ux maxCos) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))

Compiler

Compiled 246 to 171 computations (30.5% saved)

simplify928.0ms (12.3%)

Memory

-44.3MiB live, 716.0MiB allocated; 150ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
cost-diff	1	(+.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))) (*.f32 ux maxCos))
cost-diff	2	(.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
cost-diff	6	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))))
cost-diff	0	(-.f32 ux #s(literal -1 binary32))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
cost-diff	0	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))))
cost-diff	10	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32))))
cost-diff	0	(-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)))
cost-diff	0	(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
cost-diff	0	#s(approx (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos))
cost-diff	4	(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))
cost-diff	0	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
cost-diff	0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
cost-diff	0	#s(approx (- 1 (- ux (* maxCos ux))) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
cost-diff	4	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
cost-diff	0	(-.f32 maxCos #s(literal 1 binary32))
cost-diff	0	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
cost-diff	0	#s(approx (+ (* ux maxCos) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	303
0	71	297
1	126	293
2	273	289
3	753	254
4	2064	223
0	8564	222

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (1.4%)

Memory

23.7MiB live, 166.8MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.046875	(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32))) (.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))))
accuracy	0.26171875	(/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))
accuracy	0.33431625976844204	(.f32 (.f32 ux ux) (/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
accuracy	0.3984375	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
accuracy	0.09500753162065376	(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32))))
accuracy	0.39748002930532605	(/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))
accuracy	0.4140625	(/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32)))
accuracy	0.5198254870640804	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 ux #s(literal -1 binary32))) (/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))))
accuracy	0.0	#s(approx (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos))
accuracy	0.0234375	(-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)))
accuracy	0.19140625	(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))
accuracy	0.2578125	(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
accuracy	0.0	#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
accuracy	0.08233131092597981	(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
accuracy	0.296875	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
accuracy	0.5198254870640804	#s(approx (- 1 (- ux (* maxCos ux))) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
accuracy	0.0	(-.f32 maxCos #s(literal 1 binary32))
accuracy	0.0	#s(approx (+ (* ux maxCos) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
accuracy	0.00390625	(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))

Samples

63.0ms	245×	0	valid
13.0ms	11×	5	exit

Compiler

Compiled 269 to 42 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-sub: 19.0ms (32.1% of total)

ival-div: 14.0ms (23.7% of total)

ival-mult: 11.0ms (18.6% of total)

ival-add: 10.0ms (16.9% of total)

adjust: 6.0ms (10.2% of total)

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

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

exact: 0.0ms (0% of total)

series37.0ms (0.5%)

Memory

-17.8MiB live, 27.1MiB allocated; 5ms collecting garbage

Counts

21 → 102

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	maxCos	@	-inf	((+ (* ux maxCos) (- 1 ux)) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) (* (- (/ 1 ux) 1) ux) (- 1 (- ux (* maxCos ux))) (- 1 ux) (- (/ 1 ux) 1) (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos)) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) (- (/ 1 (- ux -1)) (/ (* ux ux) (- ux -1))) (- 1 (- ux (* maxCos ux))) (/ 1 (- ux -1)) (- ux -1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (* ux ux) (- ux -1)) (/ ux (- (+ (* ux ux) ux) -1)))
5.0ms	ux	@	-inf	((+ (* ux maxCos) (- 1 ux)) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) (* (- (/ 1 ux) 1) ux) (- 1 (- ux (* maxCos ux))) (- 1 ux) (- (/ 1 ux) 1) (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos)) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) (- (/ 1 (- ux -1)) (/ (* ux ux) (- ux -1))) (- 1 (- ux (* maxCos ux))) (/ 1 (- ux -1)) (- ux -1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (* ux ux) (- ux -1)) (/ ux (- (+ (* ux ux) ux) -1)))
3.0ms	ux	@	0	((+ (* ux maxCos) (- 1 ux)) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) (* (- (/ 1 ux) 1) ux) (- 1 (- ux (* maxCos ux))) (- 1 ux) (- (/ 1 ux) 1) (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos)) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) (- (/ 1 (- ux -1)) (/ (* ux ux) (- ux -1))) (- 1 (- ux (* maxCos ux))) (/ 1 (- ux -1)) (- ux -1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (* ux ux) (- ux -1)) (/ ux (- (+ (* ux ux) ux) -1)))
2.0ms	ux	@	inf	((+ (* ux maxCos) (- 1 ux)) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) (* (- (/ 1 ux) 1) ux) (- 1 (- ux (* maxCos ux))) (- 1 ux) (- (/ 1 ux) 1) (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos)) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) (- (/ 1 (- ux -1)) (/ (* ux ux) (- ux -1))) (- 1 (- ux (* maxCos ux))) (/ 1 (- ux -1)) (- ux -1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (* ux ux) (- ux -1)) (/ ux (- (+ (* ux ux) ux) -1)))
2.0ms	maxCos	@	0	((+ (* ux maxCos) (- 1 ux)) (+ (* (- maxCos 1) ux) 1) (- maxCos 1) (* (- (/ 1 ux) 1) ux) (- 1 (- ux (* maxCos ux))) (- 1 ux) (- (/ 1 ux) 1) (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos)) (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) (- (/ 1 (- ux -1)) (/ (* ux ux) (- ux -1))) (- 1 (- ux (* maxCos ux))) (/ 1 (- ux -1)) (- ux -1) (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1))) (+ (- (/ 1 (+ (+ (* ux ux) ux) 1)) (* (* ux ux) (/ ux (- (+ (* ux ux) ux) -1)))) (* ux maxCos)) (/ 1 (+ (+ (* ux ux) ux) 1)) (/ (* ux ux) (- ux -1)) (/ ux (- (+ (* ux ux) ux) -1)))

simplify179.0ms (2.4%)

Memory

15.0MiB live, 193.8MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1113
1	695	1080
2	2032	1039
3	7196	1031
0	8593	979

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

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

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

rewrite107.0ms (1.4%)

Memory

18.7MiB live, 125.7MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	252
0	71	222
1	374	184
0	3664	179

Stop Event

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

Counts

21 → 382

Calls

Call 1

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

Outputs
#s(approx (- 1 (- ux (* maxCos ux))) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal -1 binary32)))
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal -1 binary32))))
(-.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (-.f32 maxCos #s(literal 1 binary32))) ux))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 ux) (-.f32 maxCos #s(literal 1 binary32))))
(fma.f32 (.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) #s(literal -1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(fma.f32 ux (*.f32 (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(fma.f32 ux (-.f32 maxCos #s(literal 1 binary32)) #s(literal 1 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))))
(+.f32 (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (-.f32 maxCos #s(literal 1 binary32)) ux))
(/.f32 (neg.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32))) (neg.f32 (-.f32 maxCos #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))))
(/.f32 (fma.f32 maxCos maxCos #s(literal -1 binary32)) (-.f32 maxCos #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 maxCos #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 maxCos maxCos) (-.f32 maxCos #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 maxCos #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 maxCos #s(literal 3 binary32)) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 maxCos maxCos (-.f32 maxCos #s(literal -1 binary32)))))
(-.f32 maxCos #s(literal 1 binary32))
(fma.f32 (*.f32 maxCos #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) maxCos #s(literal -1 binary32))
(fma.f32 maxCos #s(literal 1 binary32) #s(literal -1 binary32))
(+.f32 maxCos #s(literal -1 binary32))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)
(*.f32 ux (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) ux) (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) ux) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (*.f32 ux (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
#s(approx (- 1 (- ux (* maxCos ux))) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
#s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux))
(expm1.f32 (*.f32 (log.f32 ux) #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32))) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(/.f32 (-.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)))
(/.f32 (-.f32 (pow.f32 ux #s(literal -3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux)))
(-.f32 (/.f32 (pow.f32 ux #s(literal -2 binary32)) (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))))
(-.f32 (/.f32 (pow.f32 ux #s(literal -3 binary32)) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 ux #s(literal -2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) ux))))
(-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32))
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32)) #s(literal -1 binary32) #s(literal -1 binary32))
(fma.f32 (pow.f32 ux #s(literal -1/2 binary32)) (pow.f32 ux #s(literal -1/2 binary32)) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) ux) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal -1 binary32))
(.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (-.f32 (.f32 maxCos ux) maxCos))
(.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 maxCos (-.f32 maxCos (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))))
(*.f32 (-.f32 ux #s(literal -1 binary32)) (/.f32 (-.f32 ux #s(literal 1 binary32)) (fma.f32 maxCos ux maxCos)))
(/.f32 (-.f32 (.f32 (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos)))) (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))) (-.f32 (*.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos))))
(/.f32 (+.f32 (pow.f32 (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)) #s(literal 3 binary32))) (fma.f32 (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (-.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos))) (.f32 (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos))))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux))) (neg.f32 (neg.f32 (fma.f32 maxCos ux maxCos))))
(/.f32 (fma.f32 (.f32 ux ux) (fma.f32 maxCos ux maxCos) (.f32 (fma.f32 maxCos ux maxCos) #s(literal -1 binary32))) (*.f32 (fma.f32 maxCos ux maxCos) (fma.f32 maxCos ux maxCos)))
(/.f32 (-.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (.f32 ux ux) #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)))
(/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))
(/.f32 (+.f32 (pow.f32 ux #s(literal 6 binary32)) #s(literal -1 binary32)) (.f32 (-.f32 (+.f32 (pow.f32 ux #s(literal 4 binary32)) #s(literal 1 binary32)) (.f32 (neg.f32 ux) ux)) (fma.f32 maxCos ux maxCos)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (neg.f32 (fma.f32 maxCos ux maxCos)))
(fma.f32 (/.f32 (.f32 ux ux) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (-.f32 (.f32 maxCos ux) maxCos) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(fma.f32 (/.f32 (.f32 ux ux) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 maxCos (-.f32 maxCos (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)) (.f32 maxCos maxCos))) (-.f32 (.f32 maxCos ux) maxCos) (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))))
(fma.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 maxCos #s(literal 3 binary32)) (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)))) (fma.f32 maxCos (-.f32 maxCos (.f32 maxCos ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32))) (.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))))
(fma.f32 (neg.f32 ux) (/.f32 (neg.f32 ux) (fma.f32 maxCos ux maxCos)) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(fma.f32 (fabs.f32 ux) (/.f32 (fabs.f32 ux) (fma.f32 maxCos ux maxCos)) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(fma.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos)) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(+.f32 (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)) (*.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))))
(+.f32 (*.f32 ux (/.f32 ux (fma.f32 maxCos ux maxCos))) (/.f32 #s(literal -1 binary32) (fma.f32 maxCos ux maxCos)))
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 ux ux)) (fma.f32 maxCos ux maxCos)))
(neg.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (neg.f32 (fma.f32 maxCos ux maxCos))))
#s(approx (- 1 (- ux (* maxCos ux))) (*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos))
(*.f32 (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))) maxCos)
(*.f32 maxCos (-.f32 ux (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos))))
(/.f32 (.f32 (-.f32 (.f32 ux ux) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 2 binary32))) maxCos) (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux))
(/.f32 (.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 3 binary32))) maxCos) (fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux) (.f32 ux ux)))
(/.f32 (.f32 maxCos (-.f32 (.f32 ux ux) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 2 binary32)))) (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux))
(/.f32 (.f32 maxCos (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 3 binary32)))) (fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux) (.f32 ux ux)))
(/.f32 (neg.f32 (-.f32 (*.f32 ux ux) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux)))
(/.f32 (neg.f32 (-.f32 (pow.f32 ux #s(literal 3 binary32)) (pow.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) (+.f32 (/.f32 (fma.f32 ux ux #s(literal -1 binary32)) (fma.f32 maxCos ux maxCos)) ux) (*.f32 ux ux))))
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(-.f32 #s(literal 1 binary32) (-.f32 ux (*.f32 maxCos ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (.f32 (neg.f32 (neg.f32 ux)) maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)) (.f32 maxCos ux))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)) (.f32 (neg.f32 (neg.f32 ux)) maxCos))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 ux ux)) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)) (.f32 maxCos ux))
(fma.f32 (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)) (*.f32 (neg.f32 (neg.f32 ux)) maxCos))
(fma.f32 #s(literal -1 binary32) (-.f32 ux #s(literal 1 binary32)) (*.f32 maxCos ux))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (neg.f32 ux)) maxCos))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(fma.f32 maxCos ux (-.f32 #s(literal 1 binary32) ux))
(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
(+.f32 (fma.f32 maxCos ux (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (.f32 maxCos ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) ux) (-.f32 #s(literal 1 binary32) (fma.f32 maxCos ux ux)) (pow.f32 (*.f32 maxCos ux) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 maxCos ux) #s(literal 3 binary32)) (fma.f32 (.f32 maxCos ux) (-.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux)) (pow.f32 (-.f32 #s(literal 1 binary32) ux) #s(literal 2 binary32)))))
(+.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) ux))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (-.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 (neg.f32 ux) maxCos)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))) (+.f32 (neg.f32 (/.f32 (pow.f32 ux #s(literal 3 binary32)) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))) (*.f32 maxCos ux)))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 (neg.f32 (neg.f32 ux)) maxCos))
(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 maxCos ux))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(*.f32 (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1/2 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))
(pow.f32 (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)) #s(literal -1 binary32))
(exp.f32 (*.f32 (log1p.f32 (fma.f32 ux ux ux)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
(neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))))
(.f32 (/.f32 (.f32 ux ux) (-.f32 (pow.f32 ux #s(literal 3 binary32)) #s(literal -1 binary32))) (fma.f32 ux ux (-.f32 #s(literal 1 binary32) ux)))
(.f32 (/.f32 (.f32 ux ux) (fma.f32 ux ux #s(literal -1 binary32))) (-.f32 ux #s(literal 1 binary32)))
(*.f32 (/.f32 ux (-.f32 ux #s(literal -1 binary32))) ux)
(*.f32 (neg.f32 ux) (/.f32 (neg.f32 ux) (-.f32 ux #s(literal -1 binary32))))
(*.f32 (fabs.f32 ux) (/.f32 (fabs.f32 ux) (-.f32 ux #s(literal -1 binary32))))
(*.f32 ux (/.f32 ux (-.f32 ux #s(literal -1 binary32))))
(/.f32 (*.f32 (neg.f32 ux) ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32)))
(/.f32 (*.f32 ux ux) (neg.f32 (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(/.f32 (*.f32 ux ux) (-.f32 ux #s(literal -1 binary32)))
(neg.f32 (/.f32 (*.f32 (neg.f32 ux) ux) (-.f32 ux #s(literal -1 binary32))))
(neg.f32 (/.f32 (*.f32 ux ux) (fma.f32 #s(literal -1 binary32) ux #s(literal -1 binary32))))
(*.f32 (/.f32 ux (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 ux ux ux) #s(literal 1 binary32)))
(*.f32 (/.f32 ux (-.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 3 binary32)) #s(literal -1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 ux ux ux) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 ux ux ux)))
(/.f32 (neg.f32 (neg.f32 ux)) (neg.f32 (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))))
(/.f32 (neg.f32 ux) (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32)))
(/.f32 ux (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32)))
(neg.f32 (/.f32 (neg.f32 ux) (-.f32 (fma.f32 ux ux ux) #s(literal -1 binary32))))
(neg.f32 (/.f32 ux (fma.f32 (fma.f32 ux ux ux) #s(literal -1 binary32) #s(literal -1 binary32))))

eval67.0ms (0.9%)

Memory: -16.5MiB live, 74.1MiB allocated; 6ms collecting garbage
Compiler: Compiled 12 266 to 1 557 computations (87.3% saved)

prune12.0ms (0.2%)

Memory

-6.3MiB live, 39.0MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	409	2	411
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	412	7	419

Accuracy

100.0%

Counts

419 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f32 ux maxCos (-.f32 #s(literal 1 binary32) ux))
✓	97.9%	#s(approx (- 1 (- ux (* maxCos ux))) (-.f32 #s(literal 1 binary32) ux))
✓	97.0%	#s(approx (- 1 (- ux (* maxCos ux))) #s(approx (- 1 ux) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) ux) #s(literal 1 binary32)) ux)))
	99.8%	#s(approx (+ (- (/ 1 (+ ux 1)) (/ (* ux ux) (+ ux 1))) (* ux maxCos)) #s(approx (* (- ux (/ (+ (* ux ux) -1) (+ (* maxCos ux) maxCos))) maxCos) (fma.f32 (*.f32 maxCos ux) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) #s(literal 1 binary32))))
✓	71.3%	#s(approx (+ (- 1 ux) (* ux maxCos)) #s(literal 1 binary32))
✓	99.9%	#s(approx (+ (* ux maxCos) (- 1 ux)) (fma.f32 (-.f32 maxCos #s(literal 1 binary32)) ux #s(literal 1 binary32)))
	99.9%	#s(approx (+ (* ux maxCos) (- 1 ux)) (fma.f32 #s(approx (- maxCos 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) maxCos)) maxCos)) ux #s(literal 1 binary32)))

Compiler

Compiled 526 to 197 computations (62.5% saved)

regimes61.0ms (0.8%)

Memory

14.2MiB live, 76.5MiB allocated; 21ms collecting garbage

Counts

21 → 1

Calls

Call 1

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

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

Calls

4 calls:

43.0ms	ux
5.0ms	uy
5.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
5.0ms	maxCos

Results

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

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes7.0ms (0.1%)

Memory

13.4MiB live, 13.4MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

4 calls:

2.0ms	maxCos
2.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
2.0ms	uy
1.0ms	ux

Results

Accuracy	Segments	Branch
97.9%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
97.9%	1	`ux`
97.9%	1	`uy`
97.9%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

regimes12.0ms (0.2%)

Memory

-31.4MiB live, 13.7MiB allocated; 6ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	uy
1.0ms	ux
1.0ms	(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))
1.0ms	maxCos

Results

Accuracy	Segments	Branch
71.3%	1	`(+.f32 (-.f32 #s(literal 1 binary32) ux) (*.f32 ux maxCos))`
71.3%	1	`ux`
71.3%	1	`uy`
71.3%	1	`maxCos`

Compiler

Compiled 10 to 16 computations (-60% saved)

simplify34.0ms (0.4%)

Memory

10.8MiB live, 53.7MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	34
1	28	34
2	52	34
3	96	34
4	187	34
5	578	34
6	4725	34

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

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

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

derivations532.0ms (7%)

Memory

-6.5MiB live, 371.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	74
1	110	70
2	309	70
3	923	70
4	3940	70
0	8288	64
0	6	13
0	9	13
1	44	13
0	344	12
0	169	966
1	532	858
2	1736	850
3	5490	842
0	8200	814

Stop Event

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

Compiler

Compiled 34 to 14 computations (58.8% saved)

preprocess16.0ms (0.2%)

Memory: 41.1MiB live, 41.1MiB allocated; 0ms collecting garbage
Remove: (abs uy)
Compiler: Compiled 166 to 108 computations (34.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze137.0ms (1.8%)

sample1.3s (16.9%)

explain59.0ms (0.8%)

preprocess566.0ms (7.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify640.0ms (8.5%)

localize18.0ms (0.2%)

series4.0ms (0%)

simplify295.0ms (3.9%)

rewrite282.0ms (3.7%)

eval3.0ms (0%)

prune4.0ms (0.1%)

simplify248.0ms (3.3%)

localize267.0ms (3.5%)

series160.0ms (2.1%)

simplify277.0ms (3.7%)

rewrite87.0ms (1.2%)

eval94.0ms (1.2%)

prune9.0ms (0.1%)

simplify454.0ms (6%)

localize133.0ms (1.8%)

series11.0ms (0.1%)

simplify164.0ms (2.2%)

rewrite105.0ms (1.4%)

eval163.0ms (2.2%)

prune10.0ms (0.1%)

simplify928.0ms (12.3%)

localize108.0ms (1.4%)

series37.0ms (0.5%)

simplify179.0ms (2.4%)

rewrite107.0ms (1.4%)

eval67.0ms (0.9%)

prune12.0ms (0.2%)

regimes61.0ms (0.8%)

regimes7.0ms (0.1%)

regimes12.0ms (0.2%)

simplify34.0ms (0.4%)

derivations532.0ms (7%)

preprocess16.0ms (0.2%)

end0.0ms (0%)

Profiling