Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

analyze314.0ms (3.5%)

Memory

7.1MiB live, 483.8MiB allocated; 107ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
0%	0%	0%	100%	0%	0%	0%	5
18.7%	0%	0%	100%	0%	0%	0%	6
28.1%	0%	0%	100%	0%	0%	0%	7
32.8%	0%	0%	100%	0%	0%	0%	8
49.2%	0%	0%	100%	0%	0%	0%	9
57.4%	0%	0%	100%	0%	0%	0%	10
61.5%	0%	0%	100%	0%	0%	0%	11
71.8%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.8s (20.7%)

Memory

8.2MiB live, 2 338.5MiB allocated; 572ms collecting garbage

Samples

1.3s	8 256×	0	valid
1.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

const: 465.0ms (43.6% of total)

ival-<=: 118.0ms (11.1% of total)

ival-mult: 107.0ms (10% of total)

ival-cos: 104.0ms (9.7% of total)

ival-div: 74.0ms (6.9% of total)

ival-sub: 66.0ms (6.2% of total)

ival-sqrt: 62.0ms (5.8% of total)

ival-and: 33.0ms (3.1% of total)

ival->: 26.0ms (2.4% of total)

exact: 5.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain137.0ms (1.5%)

Memory

12.0MiB live, 101.9MiB allocated; 12ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9999826550483704 5.580439392360859e-6 0.7627711892127991)	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`u2`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	0	-	`u1`
0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	1	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

57.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

const: 19.0ms (45.8% of total)

ival-mult: 6.0ms (14.5% of total)

ival-cos: 6.0ms (14.5% of total)

ival-div: 4.0ms (9.6% of total)

ival-sqrt: 3.0ms (7.2% of total)

ival-sub: 2.0ms (4.8% 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)

preprocess70.0ms (0.8%)

Memory

7.8MiB live, 51.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	79	106
2	138	106
3	206	106
4	293	106
5	404	106
6	557	106
7	807	106
8	2605	106
9	3429	106
10	6920	106
0	10	11
0	16	11
1	27	11
2	40	11
3	52	11
4	61	11
0	61	11

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

(*.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 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

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 11 to 11 computations (0% saved)

simplify4.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	27	36
2	40	36
3	52	36
4	61	36
0	61	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize93.0ms (1%)

Memory

-18.9MiB live, 38.7MiB allocated; 8ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.1875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

86.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-div: 6.0ms (32.3% of total)

ival-mult: 3.0ms (16.2% of total)

ival-cos: 3.0ms (16.2% of total)

const: 3.0ms (16.2% of total)

ival-sqrt: 2.0ms (10.8% of total)

ival-sub: 1.0ms (5.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

Counts

5 → 42

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))
1.0ms	u1	@	0	((* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* 314159265359/50000000000 u2))

simplify167.0ms (1.9%)

Memory

2.5MiB live, 87.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	760
1	626	670
2	2558	582
0	8338	554

Stop Event

1×	iter limit
1×	node limit

Counts

42 → 41

Calls

Call 1

Inputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Outputs
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 u1 #s(literal 3 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 3/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (.f32 u1 u1)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/4 binary32) (*.f32 u1 u1)) (/.f32 #s(literal 1/2 binary32) u1)) (sqrt.f32 #s(literal -1 binary32))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (+.f32 #s(literal 3/4 binary32) (/.f32 #s(literal 5/8 binary32) u1)) (.f32 u1 u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (-.f32 (/.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (-.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+.f32 (/.f32 (.f32 (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (-.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal -3/8 binary32))) u1) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (-.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal -3/8 binary32)))) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))

rewrite215.0ms (2.4%)

Memory

-4.1MiB live, 104.9MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	16	28
1	49	28
2	226	28
3	1582	28
0	8928	28

Stop Event

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

Counts

5 → 362

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Outputs
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (sqrt.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) #s(literal 3 binary32)) (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (-.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
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(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 u1 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))) (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (/.f32 (pow.f32 u1 #s(literal 3/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) #s(literal 1 binary32))
(fma.f32 (*.f32 u1 u1) (/.f32 u1 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal 1 binary32))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 u1 (/.f32 (*.f32 u1 u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) (.f32 u1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(+.f32 (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (*.f32 (neg.f32 u1) u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+.f32 (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (neg.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (*.f32 (neg.f32 (pow.f32 u1 #s(literal 3/2 binary32))) (pow.f32 u1 #s(literal 3/2 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (.f32 (.f32 (neg.f32 u1) u1) u1) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal 3 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 u1 #s(literal 1 binary32))
(neg.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 (neg.f32 u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))

eval60.0ms (0.7%)

Memory: 7.2MiB live, 51.7MiB allocated; 6ms collecting garbage
Compiler: Compiled 11 653 to 1 877 computations (83.9% saved)

prune30.0ms (0.3%)

Memory

-3.3MiB live, 41.9MiB allocated; 5ms collecting garbage

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	376	27	403
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	376	28	404

Accuracy

99.8%

Counts

404 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	55.7%	(.f32 (/.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.6%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	70.3%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (.f32 (neg.f32 u1) u1))) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	99.0%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.8%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (exp.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	92.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	96.4%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	87.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	90.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 1 445 to 917 computations (36.5% saved)

simplify229.0ms (2.6%)

Memory

11.8MiB live, 107.5MiB allocated; 19ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	0	(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff	0	(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
cost-diff	1	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	4	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	333
0	71	329
1	131	321
2	303	321
3	945	302
4	4142	302
0	8286	300

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(-.f32 #s(literal -1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize141.0ms (1.6%)

Memory

-13.0MiB live, 119.2MiB allocated; 16ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1875	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	1.0648461124855775	(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.1875	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.21941376953688405	(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.26171875	(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.12890625	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
accuracy	0.1875	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	2.3691161393418616	#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.12890625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.1875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	5.495759280148425	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.12890625	(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
accuracy	0.1875	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.35775375976844204	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))

Samples

108.0ms

256×

valid

Compiler

Compiled 314 to 40 computations (87.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 37.0ms (40.7% of total)

ival-add: 31.0ms (34.1% of total)

ival-sqrt: 6.0ms (6.6% of total)

ival-div: 5.0ms (5.5% of total)

const: 4.0ms (4.4% of total)

ival-log: 3.0ms (3.3% of total)

ival-cos: 3.0ms (3.3% of total)

ival-sub: 1.0ms (1.1% of total)

ival->: 1.0ms (1.1% of total)

ival-then: 0.0ms (0% 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)

series18.0ms (0.2%)

Memory

28.4MiB live, 28.4MiB allocated; 0ms collecting garbage

Counts

22 → 95

Calls

Call 1

Inputs
(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* u1 (- (/ 1 u1) 1))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	((* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (* (+ (* u1 u1) 1) (- 1 u1)))
3.0ms	u1	@	0	((* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (* (+ (* u1 u1) 1) (- 1 u1)))
3.0ms	u1	@	-inf	((* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (* (+ (* u1 u1) 1) (- 1 u1)))
2.0ms	u2	@	inf	((* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (* (+ (* u1 u1) 1) (- 1 u1)))
2.0ms	u2	@	-inf	((* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (+ (* (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* u1 (+ (* u1 u1) 1)) (* (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt (* u1 (+ (* u1 u1) 1))) (sqrt (* (+ (* u1 u1) 1) (- 1 u1)))) (sqrt (* u1 (+ (* u1 u1) 1))) (exp (log (sqrt (/ u1 (- 1 u1))))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (log (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 u2) (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (* (+ (* u1 u1) 1) (- 1 u1)))

simplify220.0ms (2.5%)

Memory

-21.5MiB live, 173.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	395	1833
1	1331	1601
2	5687	1572
0	8329	1470

Stop Event

1×	iter limit
1×	node limit

Counts

95 → 94

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
1
(+ 1 (* -1 u1))
(* u1 (+ 1 (pow u1 2)))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(* u1 (- (/ 1 u1) 1))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 (pow u1 2))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 5))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 9)))) (+ (* 1/16 (sqrt (/ 1 (pow u1 13)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2))) (* -1/16 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))) (pow u1 3))) (* 1/2 (* (sqrt u1) (pow (sqrt -1) 2)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* -1 u1) 1)
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (+ 1 (pow u1 2)))
(+.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 5 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* -1/8 (sqrt (pow u1 3))) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 3) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* 1/16 (sqrt u1)))))))
(fma.f32 (.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32) (fma.f32 (pow.f32 u1 #s(literal 6 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/8 binary32) (.f32 #s(literal 1/16 binary32) (sqrt.f32 u1))) (sqrt.f32 u1)))
(log (sqrt u1))
(log.f32 (sqrt.f32 u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) u1) u1 (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
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(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (.f32 u2 u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

rewrite162.0ms (1.8%)

Memory

11.9MiB live, 199.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	240
0	71	234
1	228	226
2	1524	197
0	9442	194

Stop Event

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

Counts

22 → 791

Calls

Call 1

Inputs
(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))
(*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))

Outputs
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (pow.f32 u1 #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 u1))) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32))) (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (fma.f32 (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (*.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (-.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32)) (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 3 binary32)))) (+.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (-.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (neg.f32 (*.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (+.f32 (/.f32 (pow.f32 u1 #s(literal 6 binary32)) (pow.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 3 binary32))) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (neg.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (neg.f32 (.f32 (-.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1)) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))) u1)) (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (neg.f32 (.f32 u1 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (-.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 u1 u1))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32)))
(/.f32 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 u1 #s(literal -1 binary32)))
(/.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
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(/.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 (pow.f32 u1 #s(literal 4 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (pow.f32 u1 #s(literal 4 binary32)))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u1))
(-.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(-.f32 (.f32 (fma.f32 u1 u1 u1) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(fma.f32 (+.f32 u1 (pow.f32 u1 #s(literal 3/2 binary32))) (-.f32 u1 (pow.f32 u1 #s(literal 3/2 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(fma.f32 (fma.f32 u1 u1 u1) u1 (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 u1 (fma.f32 u1 u1 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))
(+.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (.f32 (.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 u1) u1))
(+.f32 (.f32 (fma.f32 u1 u1 u1) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 3 binary32)))

eval137.0ms (1.5%)

Memory: -2.9MiB live, 229.0MiB allocated; 78ms collecting garbage
Compiler: Compiled 27 976 to 3 845 computations (86.3% saved)

prune75.0ms (0.8%)

Memory

26.9MiB live, 118.9MiB allocated; 10ms collecting garbage

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	894	24	918
Fresh	4	18	22
Picked	2	3	5
Done	0	1	1
Total	900	46	946

Accuracy

99.9%

Counts

946 → 46

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f32 (-.f32 (.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (.f32 (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (-.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	98.4%	(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	55.8%	(+.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.2%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.6%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	70.3%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.4%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (.f32 (neg.f32 u1) u1))) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	92.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.3%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	68.2%	(.f32 (exp.f32 (log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.5%	(.f32 (exp.f32 (log.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 (.f32 (fma.f32 (.f32 u1 (.f32 #s(literal 1/24 binary32) u1)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1) #s(literal 12 binary32) (/.f32 #s(literal -3 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) u1) u1 (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	83.6%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	94.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	94.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	90.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
	82.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	90.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
✓	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	82.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
▶	63.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
▶	90.3%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
	82.7%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))

Compiler

Compiled 2 489 to 1 617 computations (35% saved)

simplify128.0ms (1.4%)

Memory

1.6MiB live, 184.2MiB allocated; 20ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
cost-diff	0	#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
cost-diff	0	(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
cost-diff	0	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
cost-diff	0	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
cost-diff	5	(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
cost-diff	5	(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	5	(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	344
0	79	320
1	149	319
2	339	287
3	1112	287
4	5473	279
0	8326	277

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
#s(literal -1 binary32)
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 u1)
u1
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
#s(literal 1/2 binary32)
u1
(log.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(fma.f32 u1 u1 u1)
u1
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(*.f32 u1 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(*.f32 u2 u2)
u2
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
#s(literal 1/2 binary32)
u1
(log.f32 (sqrt.f32 u1))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize197.0ms (2.2%)

Memory

5.8MiB live, 242.3MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	1.0648461124855775	(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
accuracy	4.109161773073266	#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
accuracy	0.16015625	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1875	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.39291000976844204	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.12890625	(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
accuracy	0.16863251953688402	(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
accuracy	0.35546875	(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
accuracy	2.9274597455600504	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	5.495759280148425	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.635350116845949	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.12109375	(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
accuracy	0.12890625	(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
accuracy	0.1875	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

166.0ms

256×

valid

Compiler

Compiled 301 to 50 computations (83.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-mult: 93.0ms (67.3% of total)

ival-div: 9.0ms (6.5% of total)

const: 9.0ms (6.5% of total)

ival-sqrt: 9.0ms (6.5% of total)

ival-add: 6.0ms (4.3% of total)

ival-log: 5.0ms (3.6% of total)

ival-cos: 3.0ms (2.2% of total)

ival-sub: 1.0ms (0.7% of total)

ival->: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

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

adjust: 0.0ms (0% of total)

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

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

series49.0ms (0.5%)

Memory

-2.0MiB live, 62.1MiB allocated; 19ms collecting garbage

Counts

21 → 115

Calls

Call 1

Inputs
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))))))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 1/2 (/ (sqrt -1) u1)))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* -98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 3))) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(* 1/2 u1)
(* u1 (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) u1)) (/ (log (sqrt (/ 1 u1))) u1))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* u1 (- (* -1 (/ (+ (log (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 u1)))) u1)) 1/2)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 u2)
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	0	((/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt (/ 1 (- 1 u1))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (exp (log (sqrt (/ u1 (- 1 u1))))) (log (sqrt (/ u1 (- 1 u1)))) (+ (* 1/2 u1) (log (sqrt u1))) (* 314159265359/50000000000 u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1))) (/ 1 (- 1 u1)))
10.0ms	u1	@	-inf	((/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt (/ 1 (- 1 u1))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (exp (log (sqrt (/ u1 (- 1 u1))))) (log (sqrt (/ u1 (- 1 u1)))) (+ (* 1/2 u1) (log (sqrt u1))) (* 314159265359/50000000000 u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1))) (/ 1 (- 1 u1)))
5.0ms	u1	@	inf	((/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt (/ 1 (- 1 u1))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (exp (log (sqrt (/ u1 (- 1 u1))))) (log (sqrt (/ u1 (- 1 u1)))) (+ (* 1/2 u1) (log (sqrt u1))) (* 314159265359/50000000000 u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1))) (/ 1 (- 1 u1)))
4.0ms	u2	@	inf	((/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt (/ 1 (- 1 u1))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (exp (log (sqrt (/ u1 (- 1 u1))))) (log (sqrt (/ u1 (- 1 u1)))) (+ (* 1/2 u1) (log (sqrt u1))) (* 314159265359/50000000000 u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1))) (/ 1 (- 1 u1)))
3.0ms	u2	@	-inf	((/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1))) (+ -1 (* u1 u1)) (* (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ -1 (* u1 u1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (* (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ 1 (- 1 u1)))) (sqrt (/ 1 (- 1 u1))) (* (exp (log (sqrt (/ u1 (- 1 u1))))) (cos (* 314159265359/50000000000 u2))) (exp (log (sqrt (/ u1 (- 1 u1))))) (log (sqrt (/ u1 (- 1 u1)))) (+ (* 1/2 u1) (log (sqrt u1))) (* 314159265359/50000000000 u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1))) (/ 1 (- 1 u1)))

simplify234.0ms (2.6%)

Memory

-34.5MiB live, 346.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	2993
1	1945	2396
0	8705	2255

Stop Event

1×	iter limit
1×	node limit

Counts

115 → 114

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (pow u1 2) 1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))))))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(log (sqrt u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 1/2 (/ (sqrt -1) u1)))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* -98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 3))) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(log (sqrt -1))
(- (log (sqrt -1)) (* 1/2 (/ 1 (* u1 (pow (sqrt -1) 2)))))
(- (+ (log (sqrt -1)) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2)))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(- (+ (log (sqrt -1)) (+ (* 1/6 (/ (- (+ (* -3 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* -3/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 4)))) (* 1/4 (/ 1 (pow (sqrt -1) 6)))) (pow u1 3))) (* 1/2 (/ (- (* -1 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))) (* 1/4 (/ 1 (pow (sqrt -1) 4)))) (pow u1 2))))) (/ 1/2 (* u1 (pow (sqrt -1) 2))))
(* 1/2 u1)
(* u1 (+ 1/2 (+ (* -1 (/ (log (/ 1 u1)) u1)) (/ (log (sqrt (/ 1 u1))) u1))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(* -1 (* u1 (- (* -1 (/ (+ (log (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 u1)))) u1)) 1/2)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(* 314159265359/50000000000 u2)
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(-.f32 (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal -1/2 binary32) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(-.f32 (.f32 (.f32 (*.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (sqrt.f32 u1))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (sqrt.f32 u1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))
(fma.f32 (.f32 (.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (fma.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
(fma.f32 (.f32 (.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) (.f32 u1 u1)) (sqrt.f32 u1)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))))))))
(fma.f32 (.f32 (.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) (fma.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)))) u1 (fma.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32)))) u1 (.f32 (.f32 #s(literal 98696044010906577398881/10000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 u1 u1) (neg.f32 (sqrt.f32 u1))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(log (sqrt u1))
(log.f32 (sqrt.f32 u1))
(+ (log (sqrt u1)) (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
(+ (log (sqrt u1)) (* (pow u1 2) (+ 1/2 (* 1/2 (/ 1 u1)))))
(fma.f32 (*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1/2 binary32)) u1) u1 (log.f32 (sqrt.f32 u1)))
(+ (log (sqrt u1)) (* (pow u1 2) (+ (* u1 (+ (* 1/24 (* u1 (- (* 12 (/ (- 1 (* 1/4 (/ 1 u1))) u1)) (* 3 (/ 1 (pow u1 2)))))) (* 1/2 (/ 1 u1)))) (* 1/2 (/ 1 u1)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 1/24 binary32) u1) (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1 binary32)) u1) #s(literal 12 binary32) (/.f32 #s(literal -3 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1/2 binary32) u1)) u1 (/.f32 #s(literal 1/2 binary32) u1)) (*.f32 u1 u1) (log.f32 (sqrt.f32 u1)))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1) #s(literal 1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1)) u1) u1)
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32))))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 #s(literal 3/8 binary32) u1) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32)))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 u1 #s(literal 3 binary32))) #s(literal 5/16 binary32) (fma.f32 (/.f32 #s(literal 3/8 binary32) u1) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(fma.f32 (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) #s(literal 3/8 binary32) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
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(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) #s(literal -1/2 binary32)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 u1)))) (pow.f32 u1 #s(literal 3 binary32))))
(+ (log (sqrt -1)) (* 1/2 (/ 1 u1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal -1/2 binary32) u1))
(+ (log (sqrt -1)) (+ (/ 1/4 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/4 binary32) u1) u1) (/.f32 #s(literal -1/2 binary32) u1)) (log.f32 (sqrt.f32 #s(literal -1 binary32))))
(+ (log (sqrt -1)) (* -1 (/ (- (* -1 (/ (+ 1/4 (* 1/6 (/ 1 u1))) u1)) 1/2) u1)))
(-.f32 (log.f32 (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (/.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) u1) #s(literal -1 binary32) #s(literal -1/4 binary32)) u1) #s(literal 1/2 binary32)) u1))
(* -1 (* u1 (- (* -1 (/ (+ (log (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))) (* -1 (log (/ -1 u1)))) u1)) 1/2)))
(.f32 (neg.f32 u1) (-.f32 (/.f32 (-.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))) (log.f32 (/.f32 #s(literal -1 binary32) u1))) (neg.f32 u1)) #s(literal 1/2 binary32)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal -1 binary32)) u1)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (neg.f32 u1))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32)) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))))))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 u2 u2))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u2 u2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2))) (.f32 u2 u2))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))

rewrite199.0ms (2.2%)

Memory

52.1MiB live, 321.0MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	271
0	79	245
1	260	239
2	1574	225
0	9535	216

Stop Event

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

Counts

21 → 756

Calls

Call 1

Inputs
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
(sqrt.f32 u1)
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))
#s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))
(fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))

Outputs
(.f32 (.f32 (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1)))) (sin.f32 (acos.f32 u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 (fma.f32 u1 u1 u1) (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (neg.f32 (neg.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))) (neg.f32 (neg.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))))
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(/.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal -1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (.f32 (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (*.f32 (hypot.f32 (sqrt.f32 u1) u1) (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))) (sqrt.f32 (sinh.f32 (acosh.f32 u1))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))))) (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) (hypot.f32 (sqrt.f32 u1) u1))) (sqrt.f32 (sinh.f32 (acosh.f32 u1))))
(/.f32 (hypot.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 3/2 binary32)) (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 3/2 binary32))) (sqrt.f32 (+.f32 (pow.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) #s(literal 2 binary32)) (-.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 2 binary32)) (.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (sqrt.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(/.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (.f32 (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))) u1)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (.f32 (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))) u1)) (sqrt.f32 (*.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (.f32 u1 (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 (.f32 u1 (expm1.f32 (.f32 (log.f32 u1) #s(literal 3 binary32))))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (hypot.f32 (sqrt.f32 u1) u1)) (neg.f32 (sin.f32 (acos.f32 u1))))
(/.f32 (neg.f32 (hypot.f32 (sqrt.f32 u1) u1)) (neg.f32 (sinh.f32 (acosh.f32 u1))))
(/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1)))
(/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sinh.f32 (acosh.f32 u1)))
(/.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))
(pow.f32 (pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 4 binary32)) #s(literal 1/4 binary32))
(pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1)))))
(fabs.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))
(+.f32 (cosh.f32 (log.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))) (sinh.f32 (log.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))))))
(exp.f32 (log.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1)))))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(sqrt.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1))
(pow.f32 (*.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) #s(literal 1 binary32))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal -1 binary32))
(pow.f32 (*.f32 (exp.f32 (neg.f32 (log1p.f32 u1))) (exp.f32 (neg.f32 (log1p.f32 u1)))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal -2 binary32))
(pow.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(+.f32 (cosh.f32 (neg.f32 (log1p.f32 u1))) (sinh.f32 (neg.f32 (log1p.f32 u1))))
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (log1p.f32 u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))

eval124.0ms (1.4%)

Memory: -31.4MiB live, 178.1MiB allocated; 59ms collecting garbage
Compiler: Compiled 25 281 to 2 959 computations (88.3% saved)

prune51.0ms (0.6%)

Memory

-10.9MiB live, 135.9MiB allocated; 11ms collecting garbage

Pruning

50 alts after pruning (46 fresh and 4 done)

	Pruned	Kept	Total
New	674	22	696
Fresh	13	24	37
Picked	4	1	5
Done	1	3	4
Total	692	50	742

Accuracy

99.9%

Counts

742 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.1%	(/.f32 (-.f32 (.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (.f32 (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (-.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	98.4%	(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
▶	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.8%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.6%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	70.3%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	97.8%	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.8%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.6%	(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.9%	(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.6%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.9%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 4 binary32))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.8%	(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.3%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	68.2%	(.f32 (exp.f32 (log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.5%	(.f32 (exp.f32 (log.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 (.f32 (fma.f32 (.f32 u1 (.f32 #s(literal 1/24 binary32) u1)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1) #s(literal 12 binary32) (/.f32 #s(literal -3 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) u1) u1 (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.7%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))) (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 2 binary32)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))) (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.4%	(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	90.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	90.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
✓	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
▶	61.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	82.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))))
✓	63.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	90.3%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
▶	90.3%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
	82.7%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
	82.7%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
	4.0%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))

Compiler

Compiled 3 222 to 1 888 computations (41.4% saved)

simplify169.0ms (1.9%)

Memory

60.2MiB live, 214.1MiB allocated; 41ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
cost-diff	0	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
cost-diff	0	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
cost-diff	5	(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
cost-diff	5	(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
cost-diff	0	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
cost-diff	0	(sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
cost-diff	9	(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	335
0	85	325
1	167	318
2	407	255
3	1553	252
0	9187	250

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(fma.f32 u1 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
u1
(+.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
u2
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(neg.f32 (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(sqrt.f32 u1)
u1
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/4 binary32)
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

Outputs
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(-.f32 (pow.f32 u1 #s(literal 3 binary32)) u1)
(fma.f32 u1 u1 #s(literal -1 binary32))
u1
#s(literal -1 binary32)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
u1
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
u2
(sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(neg.f32 (fma.f32 u1 u1 u1))
(*.f32 (-.f32 #s(literal -1 binary32) u1) u1)
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal -1 binary32))
#s(literal -1 binary32)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
u1
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
#s(literal -314159265359/50000000000 binary32)
u2
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(literal -1/4 binary32)
#s(literal 2 binary32)
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize616.0ms (6.9%)

Memory

-142.4MiB live, 462.4MiB allocated; 888ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1875	(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.38671875	(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
accuracy	0.39291000976844204	(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
accuracy	0.11328125	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy	0.13671875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.24609375	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.34375	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.16863251953688402	(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
accuracy	0.24609375	(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
accuracy	0.37890625	(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
accuracy	2.9274597455600504	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
accuracy	0.0	(+.f32 u1 #s(literal 1 binary32))
accuracy	0.109375	(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.30859375	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
accuracy	12.215611012297284	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
accuracy	0.15853500976844204	(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
accuracy	0.1875	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.234375	(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
accuracy	0.34375	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

572.0ms

256×

valid

Compiler

Compiled 322 to 53 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 499.0ms

ival-mult: 408.0ms (81.8% of total)

ival-sqrt: 25.0ms (5% of total)

ival-neg: 21.0ms (4.2% of total)

ival-div: 10.0ms (2% of total)

const: 10.0ms (2% of total)

ival-add: 7.0ms (1.4% of total)

ival-cos: 6.0ms (1.2% of total)

ival-pow: 6.0ms (1.2% of total)

ival-pow2: 3.0ms (0.6% of total)

ival-sub: 1.0ms (0.2% of total)

exact: 1.0ms (0.2% of total)

adjust: 0.0ms (0% of total)

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

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

series54.0ms (0.6%)

Memory

5.6MiB live, 58.4MiB allocated; 7ms collecting garbage

Counts

24 → 140

Calls

Call 1

Inputs
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* -1 u1)
(* u1 (- (pow u1 2) 1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(+ 1 u1)
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))))))))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
-1
(- u1 1)
(- (* u1 (+ 1 u1)) 1)
(- (* u1 (+ 1 (* u1 (+ 1 (* -1 u1))))) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 1/2 (/ (sqrt -1) u1)))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* -98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 3))) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 2)) 1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 u1) 1) u1))) u1)))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(cos (* -314159265359/50000000000 u2))

Calls

9 calls:

Time	Variable		Point	Expression
32.0ms	u2	@	0	((/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (* (+ (* u1 u1) -1) u1) (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (pow (pow (- 1 u1) -1/4) 2) (* (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (* 314159265359/50000000000 u2) (* (- 1 u1) (+ (* u1 u1) -1)) (* -98696044010906577398881/5000000000000000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
4.0ms	u1	@	-inf	((/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (* (+ (* u1 u1) -1) u1) (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (pow (pow (- 1 u1) -1/4) 2) (* (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (* 314159265359/50000000000 u2) (* (- 1 u1) (+ (* u1 u1) -1)) (* -98696044010906577398881/5000000000000000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
4.0ms	u1	@	inf	((/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (* (+ (* u1 u1) -1) u1) (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (pow (pow (- 1 u1) -1/4) 2) (* (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (* 314159265359/50000000000 u2) (* (- 1 u1) (+ (* u1 u1) -1)) (* -98696044010906577398881/5000000000000000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
4.0ms	u2	@	-inf	((/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (* (+ (* u1 u1) -1) u1) (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (pow (pow (- 1 u1) -1/4) 2) (* (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (* 314159265359/50000000000 u2) (* (- 1 u1) (+ (* u1 u1) -1)) (* -98696044010906577398881/5000000000000000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
4.0ms	u2	@	inf	((/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (* (+ (* u1 u1) -1) u1) (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (+ u1 1))) (/ u1 (+ u1 1)) (+ u1 1) (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt u1) (cos (* -314159265359/50000000000 u2)) (pow (pow (- 1 u1) -1/4) 2) (* (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (pow (pow (- 1 u1) -1/4) 2)) (* 314159265359/50000000000 u2) (* (- 1 u1) (+ (* u1 u1) -1)) (* -98696044010906577398881/5000000000000000000000 u2) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))

simplify161.0ms (1.8%)

Memory

-7.4MiB live, 315.6MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	607	3120
1	2108	2655
0	8916	2499

Stop Event

1×	iter limit
1×	node limit

Counts

140 → 139

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* -1 u1)
(* u1 (- (pow u1 2) 1))
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(+ (sqrt u1) (* -1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(* u1 (+ 1 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(+ 1 u1)
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2)))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (* (pow u2 2) (pow (sqrt -1) 2)))) (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (+ (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/2 (* (sqrt (/ 1 u1)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))) (* 98696044010906577398881/10000000000000000000000 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))))))))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))))
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
-1
(- u1 1)
(- (* u1 (+ 1 u1)) 1)
(- (* u1 (+ 1 (* u1 (+ 1 (* -1 u1))))) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(pow u1 3)
(* (pow u1 3) (- 1 (/ 1 (pow u1 2))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(- 1 (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (* 1/2 (/ 1 u1)))
(- (+ 1 (/ 3/8 (pow u1 2))) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(* u1 (+ 1 (/ 1 u1)))
(+ (sqrt -1) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 1/2 (/ (sqrt -1) u1)))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (+ (* -296088132032719732196643/40000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 2))) (+ (* -98696044010906577398881/16000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) (pow u1 3))) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))))))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (pow u1 3))
(* (pow u1 3) (- (/ 1 u1) 1))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) 1))
(* (pow u1 3) (- (+ (/ 1 u1) (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 3)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* (pow u1 3) (- (/ 1 (pow u1 2)) 1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(pow (sqrt -1) 2)
(+ (* 1/2 (/ 1 u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ (* -1 (/ (- (* -1 (/ (+ (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* 1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) u1))) u1)) 1/2) u1)) (pow (sqrt -1) 2))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (* 1/2 (/ 1 (sqrt -1)))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1)))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (sqrt -1) (+ (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (pow u2 2) (sqrt -1))) (+ (* -1 (/ (+ (* -1 (/ (+ (* -98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (sqrt -1))) (* 1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (sqrt -1)))) u1)) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* 98696044010906577398881/10000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1))))) u1))))
(+ (* 1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (* (pow u1 3) (- 1 (/ 1 u1))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (/ 1 u1)) u1)))))
(* -1 (* (pow u1 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- (/ 1 u1) 1) u1))) u1)))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(sqrt (/ u1 (- 1 u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(* 314159265359/50000000000 u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(* -314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(cos (* -314159265359/50000000000 u2))

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (pow u1 2) 1))
(.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (.f32 u1 u1) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
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(.f32 (neg.f32 u1) (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(.f32 (neg.f32 u1) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(sqrt (/ u1 (- 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))
(sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(+ (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(* -98696044010906577398881/5000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* -98696044010906577398881/5000000000000000000000 u2)
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -98696044010906577398881/5000000000000000000000 (* (* (pow u2 2) (sqrt -1)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1)))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (*.f32 u2 u2)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt -1) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))) (* (/ (sqrt -1) (pow u2 2)) (sqrt (/ (+ u1 (pow u1 2)) (- (pow u1 2) 1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u2) u2))) (.f32 u2 u2))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(cos (* -314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

rewrite248.0ms (2.8%)

Memory

51.0MiB live, 413.1MiB allocated; 89ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	259
0	85	267
1	293	266
2	1909	177
0	9963	175

Stop Event

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

Counts

24 → 1 537

Calls

Call 1

Inputs
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1)
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(sqrt.f32 u1)
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))

Outputs
(*.f32 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(*.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) (sinh.f32 (acosh.f32 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 (fma.f32 u1 u1 u1) u1 (pow.f32 u1 #s(literal 4 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 u1 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))
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(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 (-.f32 #s(literal -1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) (*.f32 u1 u1) (-.f32 #s(literal -1 binary32) u1))
(fma.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) (-.f32 #s(literal -1 binary32) u1))
(pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32))
(+.f32 (/.f32 (pow.f32 (.f32 (fma.f32 u1 u1 u1) u1) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (fma.f32 u1 u1 u1) u1) #s(literal 2 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal -1 binary32) u1))))) (/.f32 (pow.f32 (-.f32 #s(literal -1 binary32) u1) #s(literal 3 binary32)) (+.f32 (pow.f32 (.f32 (fma.f32 u1 u1 u1) u1) #s(literal 2 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (*.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal -1 binary32) u1))))))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) u1) (-.f32 #s(literal -1 binary32) u1))
(+.f32 (-.f32 #s(literal -1 binary32) u1) (*.f32 (fma.f32 u1 u1 u1) u1))
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal -1 binary32) u1)) #s(literal 3 binary32)))
(neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 3 binary32)))
(*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2)
(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) (neg.f32 u2))
(neg.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (neg.f32 (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1))))
(/.f32 (neg.f32 (cosh.f32 (asinh.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (neg.f32 (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (sin.f32 (acos.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sinh.f32 (acosh.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (cosh.f32 (asinh.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (hypot.f32 (-.f32 #s(literal -1 binary32) u1) (sqrt.f32 u1)))
(/.f32 (cosh.f32 (asinh.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1))))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sinh.f32 (acosh.f32 u1)) (sqrt.f32 (-.f32 #s(literal -1 binary32) u1)))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1/4 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))

eval116.0ms (1.3%)

Memory: 18.3MiB live, 250.6MiB allocated; 41ms collecting garbage
Compiler: Compiled 34 705 to 4 439 computations (87.2% saved)

prune76.0ms (0.8%)

Memory

3.2MiB live, 191.7MiB allocated; 22ms collecting garbage

Pruning

49 alts after pruning (43 fresh and 6 done)

	Pruned	Kept	Total
New	1 046	26	1 072
Fresh	24	17	41
Picked	2	3	5
Done	1	3	4
Total	1 073	49	1 122

Accuracy

100.0%

Counts

1 122 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.8%	(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.7%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	87.1%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
	94.3%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.2%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	90.0%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	94.3%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	90.0%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	70.3%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.8%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 (.f32 (sqrt.f32 u1) #s(approx (pow (pow (- 1 u1) -1/4) 2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) #s(approx (* (- 1 u1) (+ (* u1 u1) -1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 (/.f32 #s(approx ( (+ (* u1 u1) -1) u1) (neg.f32 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 4 binary32))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.8%	(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.5%	(.f32 (exp.f32 (log.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.3%	#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	90.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
✓	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	61.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	82.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	61.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))))
✓	63.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	15.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
	3.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
	90.3%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
✓	90.3%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
	89.4%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
	89.9%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
	89.8%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (.f32 (pow.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)))))
	90.2%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	82.7%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
	82.7%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
	82.6%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
	4.0%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))

Compiler

Compiled 4 474 to 1 532 computations (65.8% saved)

regimes241.0ms (2.7%)

Memory

-23.8MiB live, 497.0MiB allocated; 88ms collecting garbage

Counts

100 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (pow (pow (- 1 u1) -1/4) 2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(approx ( (+ (* u1 u1) -1) u1) (neg.f32 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (-.f32 #s(literal -1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (.f32 (neg.f32 u1) u1))) (.f32 (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (-.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (.f32 (pow.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) #s(literal 2 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( (+ (* (+ (* u1 u1) u1) u1) u1) u1) u1) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)) (pow.f32 u1 #s(literal 4 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) #s(approx (* (- 1 u1) (+ (* u1 u1) -1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1)) (pow.f32 (neg.f32 u1) #s(literal 3 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(approx (* (+ (* u1 u1) 1) (- 1 u1)) (.f32 (pow.f32 (neg.f32 u1) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (log.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sqrt.f32 (.f32 u1 (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (fma.f32 (.f32 (fma.f32 (.f32 u1 (.f32 #s(literal 1/24 binary32) u1)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1) #s(literal 12 binary32) (/.f32 #s(literal -3 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) u1) u1 (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (pow.f32 u1 #s(literal 4 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (exp.f32 (log1p.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (exp.f32 (log.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (-.f32 (log.f32 u1) (log1p.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 (hypot.f32 (sqrt.f32 u1) u1) (sin.f32 (acos.f32 u1))) #s(literal 4 binary32))) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (/.f32 (-.f32 (.f32 (.f32 #s(literal 1/4 binary32) (.f32 u1 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))) (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 2 binary32)))) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))) (-.f32 (.f32 #s(literal 1/2 binary32) u1) (log.f32 (sqrt.f32 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (-.f32 (.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
(/.f32 (-.f32 (.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (.f32 (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (-.f32 (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(.f32 (/.f32 (+.f32 (pow.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (-.f32 (.f32 (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (.f32 (cosh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sinh.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 #s(approx (log (sqrt (/ u1 (- 1 u1)))) (/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (-.f32 (.f32 (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1))))))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal 1/2 binary32) u1) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))) (/.f32 (pow.f32 (log.f32 (sqrt.f32 u1)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (.f32 u1 u1) (.f32 (log.f32 (sqrt.f32 u1)) (fma.f32 #s(literal 1/2 binary32) u1 (log.f32 (sqrt.f32 u1)))))))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

50.0ms	cosTheta_i
29.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
28.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
99.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
99.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes145.0ms (1.6%)

Memory

31.4MiB live, 217.4MiB allocated; 25ms collecting garbage

Counts

58 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (pow (pow (- 1 u1) -1/4) 2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 #s(approx (+ -1 (* u1 u1)) #s(literal -1 binary32))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(approx ( (+ (* u1 u1) -1) u1) (neg.f32 u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
18.0ms	u1
18.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.9%	1	`cosTheta_i`
98.9%	1	`u1`
98.9%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes148.0ms (1.7%)

Memory

-8.8MiB live, 248.2MiB allocated; 110ms collecting garbage

Counts

44 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (pow (pow (- 1 u1) -1/4) 2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Calls

8 calls:

64.0ms	u2
14.0ms	u1
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	cosTheta_i
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
98.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.5%	2	`u2`
98.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.7%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.7%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.3%	1	`cosTheta_i`
98.7%	2	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes133.0ms (1.5%)

Memory

-39.4MiB live, 104.4MiB allocated; 10ms collecting garbage

Counts

41 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (neg (+ ( u1 u1) u1)) (+ -1 (* u1 u1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1))) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) #s(approx (pow (pow (- 1 u1) -1/4) 2) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

6 calls:

74.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms	u1

Results

Accuracy	Segments	Branch
98.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.4%	2	`u2`
98.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.3%	2	`u1`

Compiler

Compiled 27 to 35 computations (-29.6% saved)

regimes94.0ms (1.1%)

Memory

24.3MiB live, 72.7MiB allocated; 5ms collecting garbage

Counts

36 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ ( (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

7 calls:

39.0ms	u1
9.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms	u2

Results

Accuracy	Segments	Branch
94.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.3%	1	`u1`
94.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.9%	2	`u2`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes126.0ms (1.4%)

Memory

-13.3MiB live, 78.8MiB allocated; 5ms collecting garbage

Counts

34 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))

Outputs

(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (*.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Calls

8 calls:

39.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
33.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms	cosTheta_i
9.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms	u1

Results

Accuracy	Segments	Branch
94.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.3%	1	`cosTheta_i`
94.3%	1	`u1`
94.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
94.3%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes82.0ms (0.9%)

Memory

8.8MiB live, 103.1MiB allocated; 10ms collecting garbage

Counts

32 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Outputs

(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Calls

8 calls:

20.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
94.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
94.3%	1	`u2`
94.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.3%	1	`cosTheta_i`
94.3%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes73.0ms (0.8%)

Memory

0.4MiB live, 45.8MiB allocated; 5ms collecting garbage

Counts

24 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ (* (+ (* u1 u1) -1) u1) (* (- 1 u1) (+ (* u1 u1) -1)))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Outputs

(/.f32 (*.f32 (sqrt.f32 u1) #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (-.f32 (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Calls

8 calls:

28.0ms	cosTheta_i
7.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	u1
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
93.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.2%	1	`cosTheta_i`
93.2%	1	`u2`
93.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.2%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes59.0ms (0.7%)

Memory

-1.3MiB live, 44.9MiB allocated; 2ms collecting garbage

Counts

20 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Outputs

#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Calls

8 calls:

20.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms	cosTheta_i
5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u1

Results

Accuracy	Segments	Branch
90.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
90.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.2%	1	`u2`
90.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.2%	1	`cosTheta_i`
90.2%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes80.0ms (0.9%)

Memory

0.4MiB live, 46.6MiB allocated; 3ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* (* -98696044010906577398881/5000000000000000000000 u2) u2) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (sqrt (/ (neg (+ (* u1 u1) u1)) (+ (* u1 u1) -1)))) (-.f32 (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 u1 (/.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))

Outputs
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))

Calls

8 calls:

50.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	cosTheta_i
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
82.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
82.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
82.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
82.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
82.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
82.7%	1	`cosTheta_i`
82.7%	1	`u1`
82.7%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes26.0ms (0.3%)

Memory

-14.6MiB live, 35.4MiB allocated; 6ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))

Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Calls

8 calls:

7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	u1

Results

Accuracy	Segments	Branch
82.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
82.7%	1	`cosTheta_i`
82.7%	1	`u2`
82.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
82.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
82.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
82.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
82.7%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes16.0ms (0.2%)

Memory

26.3MiB live, 26.3MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal -1/2 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (+ u1 1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))

Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Calls

8 calls:

2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	cosTheta_i
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
63.6%	1	`cosTheta_i`
63.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.6%	1	`u2`
63.6%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.6%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes8.0ms (0.1%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Outputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Calls

8 calls:

1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
3.7%	1	`cosTheta_i`
3.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
3.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
3.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
3.7%	1	`u1`
3.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
3.7%	1	`u2`
3.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch9.0ms (0.1%)

Memory

-46.1MiB live, 0.7MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.0020472477190196514	0.002428867854177952

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.10534220933914185	0.17644858360290527

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.10534220933914185	0.17644858360290527

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify51.0ms (0.6%)

Memory

13.3MiB live, 58.4MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	100	413
1	149	413
2	257	411
3	557	405
4	2422	399
5	7908	399

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u1 #s(literal 295279/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

Outputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u1 #s(literal 295279/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 5033165/33554432 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) u2) u2 #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (+ u1 1))) #s(literal -1 binary32)))

derivations1.2s (13.7%)

Memory

26.6MiB live, 764.4MiB allocated; 208ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
0	16	28
1	49	28
2	226	28
3	1582	28
0	8928	28
0	180	760
1	626	670
2	2558	582
0	8338	554
0	54	259
0	85	267
1	293	266
2	1909	177
0	9963	175
0	395	1833
1	1331	1601
2	5687	1572
0	8329	1470
0	51	271
0	79	245
1	260	239
2	1574	225
0	9535	216
0	40	240
0	71	234
1	228	226
2	1524	197
0	9442	194
0	607	3120
1	2108	2655
0	8916	2499

Stop Event

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

Compiler

Compiled 399 to 95 computations (76.2% saved)

preprocess52.0ms (0.6%)

Memory

33.5MiB live, 79.3MiB allocated; 5ms collecting garbage

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 108 to 436 computations (60.6% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze314.0ms (3.5%)

sample1.8s (20.7%)

explain137.0ms (1.5%)

preprocess70.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize93.0ms (1%)

series8.0ms (0.1%)

simplify167.0ms (1.9%)

rewrite215.0ms (2.4%)

eval60.0ms (0.7%)

prune30.0ms (0.3%)

simplify229.0ms (2.6%)

localize141.0ms (1.6%)

series18.0ms (0.2%)

simplify220.0ms (2.5%)

rewrite162.0ms (1.8%)

eval137.0ms (1.5%)

prune75.0ms (0.8%)

simplify128.0ms (1.4%)

localize197.0ms (2.2%)

series49.0ms (0.5%)

simplify234.0ms (2.6%)

rewrite199.0ms (2.2%)

eval124.0ms (1.4%)

prune51.0ms (0.6%)

simplify169.0ms (1.9%)

localize616.0ms (6.9%)

series54.0ms (0.6%)

simplify161.0ms (1.8%)

rewrite248.0ms (2.8%)

eval116.0ms (1.3%)

prune76.0ms (0.8%)

regimes241.0ms (2.7%)

regimes145.0ms (1.6%)

regimes148.0ms (1.7%)

regimes133.0ms (1.5%)

regimes94.0ms (1.1%)

regimes126.0ms (1.4%)

regimes82.0ms (0.9%)

regimes73.0ms (0.8%)

regimes59.0ms (0.7%)

regimes80.0ms (0.9%)

regimes26.0ms (0.3%)

regimes16.0ms (0.2%)

regimes8.0ms (0.1%)

bsearch9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify51.0ms (0.6%)

derivations1.2s (13.7%)

preprocess52.0ms (0.6%)

end0.0ms (0%)

Profiling