Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze260.0ms (3.8%)

Memory

31.2MiB live, 343.9MiB allocated

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)

sample2.1s (30.1%)

Memory

10.1MiB live, 2 153.9MiB allocated

Samples

1.6s	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.3s

const: 522.0ms (40.1% of total)

ival-mult: 305.0ms (23.5% of total)

ival-<=: 117.0ms (9% of total)

ival-cos: 91.0ms (7% of total)

ival-div: 74.0ms (5.7% of total)

ival->: 59.0ms (4.5% of total)

ival-sqrt: 55.0ms (4.2% of total)

ival-sub: 40.0ms (3.1% of total)

ival-and: 30.0ms (2.3% of total)

exact: 5.0ms (0.4% of total)

ival-assert: 3.0ms (0.2% of total)

Bogosity

explain110.0ms (1.6%)

Memory

8.5MiB live, 243.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
2	-	-	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	-	`u2`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	-	`u1`
0	-	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	sensitivity	2	1

Confusion

	Predicted +	Predicted -
+	2	1
-	0	253

Precision

1.0

Recall

0.6666666666666666

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	1
-	0	1	252

Precision?

0.6666666666666666

Recall?

0.6666666666666666

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

50.0ms

512×

valid

Compiler

Compiled 123 to 48 computations (61% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

const: 8.0ms (25.5% of total)

ival-mult: 6.0ms (19.2% of total)

ival-cos: 6.0ms (19.2% of total)

ival-div: 4.0ms (12.8% of total)

ival-sub: 3.0ms (9.6% of total)

ival-sqrt: 3.0ms (9.6% of total)

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

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

exact: 0.0ms (0% of total)

preprocess255.0ms (3.7%)

Memory

-6.9MiB live, 310.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	96	104
2	207	104
3	478	102
4	1154	102
5	2536	102
6	5598	102
0	10	11
0	16	11
1	29	11
2	55	11
3	115	11
4	228	11
5	385	11
6	495	11
7	760	11
8	1350	11
9	2254	11
10	3368	11
11	5547	11
12	7186	11
0	8254	11

Stop Event

1×	iter limit
1×	node limit
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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize34.0ms (0.5%)

Memory

-9.1MiB live, 72.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12890625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.16015625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.19606858180279788	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

22.0ms

256×

valid

Compiler

Compiled 74 to 24 computations (67.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

const: 4.0ms (26.6% of total)

ival-mult: 3.0ms (20% of total)

ival-cos: 3.0ms (20% of total)

ival-div: 2.0ms (13.3% of total)

ival-sqrt: 2.0ms (13.3% of total)

ival-sub: 1.0ms (6.7% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

4 → 31

Calls

Call 1

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

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)))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 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)))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 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 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* 314159265359/50000000000 u2)
1
(+ 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)))
(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)))))))))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))

Calls

9 calls:

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

simplify34.0ms (0.5%)

Memory

8.7MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	141	583
0	485	549

Stop Event

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

Counts

31 → 30

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

rewrite117.0ms (1.7%)

Memory

-8.3MiB live, 146.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	16	23
1	54	23
2	310	23
0	2656	23

Stop Event

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

Counts

4 → 122

Calls

Call 1

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

Outputs
(*.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 #s(literal -1 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))
(.f32 #s(literal 1 binary32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.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)
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (-.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))))
(-.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 #s(literal 0 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(fma.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(fma.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+.f32 (.f32 (cos.f32 #s(literal 0 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sin.f32 #s(literal 0 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 u2 #s(literal 314159265359/50000000000 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 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) 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 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 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)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.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 (-.f32 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 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (.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 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(.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 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 u1 u1 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(.f32 (+.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(*.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (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 (.f32 u1 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u1 u1 u1) #s(literal 2 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (.f32 u1 (+.f32 (pow.f32 (fma.f32 u1 u1 u1) #s(literal 3 binary32)) #s(literal 1 binary32))) (.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))))
(/.f32 (*.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(-.f32 #s(literal 0 binary32) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) #s(literal 1 binary32)) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 9 binary32)))) (+.f32 (+.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (pow.f32 u1 #s(literal 3 binary32))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) #s(literal 1 binary32)))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)))
(fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32) (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)))
(fma.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(fma.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(fma.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(fma.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(+.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(+.f32 (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))))
(+.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1))
(+.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1))
(+.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)))
(+.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1 binary32)) (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (fma.f32 u1 u1 u1)))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(+.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (*.f32 (fma.f32 u1 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))

eval16.0ms (0.2%)

Memory: 8.6MiB live, 46.3MiB allocated
Compiler: Compiled 3 325 to 619 computations (81.4% saved)

prune40.0ms (0.6%)

Memory

-15.5MiB live, 23.5MiB allocated

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	134	18	152
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	134	19	153

Accuracy

99.5%

Counts

153 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.3%	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
▶	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	97.9%	(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	78.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	78.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.3%	(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	75.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
▶	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 613 to 529 computations (13.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize114.0ms (1.7%)

Memory

5.2MiB live, 163.1MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.2109375	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy	0.2734375	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
accuracy	0.2819137695368841	(/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
accuracy	0.33203125	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.19606858180279788	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy	0.203125	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.33203125	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.37109375	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.19606858180279788	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.2109375	(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	7.718860777302533	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.11328125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.12890625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.969728825916617	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.16015625	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.19606858180279788	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.24609375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

67.0ms

256×

valid

Compiler

Compiled 415 to 67 computations (83.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 11.0ms (22.6% of total)

ival-sqrt: 11.0ms (22.6% of total)

const: 9.0ms (18.5% of total)

ival-div: 8.0ms (16.5% of total)

ival-cos: 5.0ms (10.3% of total)

ival-sub: 4.0ms (8.2% of total)

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

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

exact: 0.0ms (0% of total)

series70.0ms (1%)

Memory

18.8MiB live, 106.6MiB allocated

Counts

17 → 108

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (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) (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))
(* (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)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2)))))))))) u1)
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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))))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(/ (sqrt -1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (* -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) (* 1/2 (/ (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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* 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)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 u2)
(+ 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)))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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 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)))))))
(* -314159265359/50000000000 u2)
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))

Calls

9 calls:

Time	Variable		Point	Expression
40.0ms	u1	@	-inf	((* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (* -314159265359/50000000000 u2) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
8.0ms	u2	@	0	((* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (* -314159265359/50000000000 u2) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
6.0ms	u1	@	0	((* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (* -314159265359/50000000000 u2) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
5.0ms	u1	@	inf	((* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (* -314159265359/50000000000 u2) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
4.0ms	u2	@	inf	((* 314159265359/50000000000 u2) (* (/ -1 (- u1 1)) u1) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ -1 (- u1 1)) u1)) (cos (* 314159265359/50000000000 u2))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (- 1 u1)) (sqrt (/ u1 (- 1 u1))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (* -314159265359/50000000000 u2) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/ 1 (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))

simplify99.0ms (1.4%)

Memory

-6.4MiB live, 190.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	2571
0	1726	2447

Stop Event

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

Counts

108 → 107

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (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) (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))
(* (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)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2)))))))))) u1)
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 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))))
(* -1 u1)
(* u1 (- (/ 1 u1) 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)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(/ (sqrt -1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (cos (* -314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(- (* -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) (* 1/2 (/ (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 (* u1 (- 1 (/ 1 u1))))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* 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)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(- (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(+ (* -1 (/ (+ (* 1/8 (/ 1 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) (* 1/2 (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1 (/ (+ (/ 1/16 (* (pow u1 2) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (/ 1/8 (* u1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))) u1)) (/ 1 (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 u2)
(+ 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)))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (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 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)))))))
(* -314159265359/50000000000 u2)
(sqrt (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(sqrt (/ (- 1 u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))

Outputs
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
(* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (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)) (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 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (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)))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (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 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
(+ (* (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) u1)) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1)) (.f32 u1 u1) (.f32 (.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (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))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.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 u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (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) (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) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1)) (.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 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (sqrt.f32 u1))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #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))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #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 u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (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) (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) (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))))) u1 (.f32 (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (.f32 u1 u1) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(cos (* -314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(fma.f32 (.f32 #s(literal 1/2 binary32) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 3/8 binary32) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 5/16 binary32) u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 #s(literal 3/8 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))
(.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2))))) u1)
(/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (.f32 u1 u1) (/.f32 (.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1)
(/ (+ (* (sqrt u1) (/ 1 (cos (* -314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (cos (* -314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (cos (* -314159265359/50000000000 u2)))))))))) u1)
(/.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (.f32 u1 u1) (.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))) (.f32 u1 u1) (/.f32 (.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* (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 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* 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))) (.f32 u1 u1)) #s(literal 3/8 binary32) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(+ (* 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 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 u1 u1)) #s(literal 3/8 binary32) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 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)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 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)))) (+ (* -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 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (pow.f32 u1 #s(literal 3 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (.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))))
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(fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1/8 binary32) u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) (/.f32 (/.f32 #s(literal 1/16 binary32) (.f32 u1 u1)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) u1) #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(neg.f32 (.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) (sqrt.f32 u1)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(+ 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 (fma.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 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(* (sqrt (/ u1 (- u1 1))) (sqrt -1))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))
(fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 u2 u2)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (.f32 (.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))))
(+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) (.f32 (.f32 u2 u2) (sqrt.f32 #s(literal -1 binary32))))) (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 #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) (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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.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) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 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 #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 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 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 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))
(* -314159265359/50000000000 u2)
(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
(sqrt (/ 1 (- 1 u1)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(sqrt (/ (- 1 u1) u1))
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(+ (sqrt (/ (- 1 u1) u1)) (* 98696044010906577398881/5000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))
(fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(+ (sqrt (/ (- 1 u1) u1)) (* (pow u2 2) (+ (* 98696044010906577398881/5000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* (pow u2 2) (+ (* 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 (sqrt (/ (- 1 u1) u1))) (* 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (- 1 u1) u1)) (pow u2 2))))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 58644740808116728613621848561447538841603627747060212551467462864942301/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 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))))
(* (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)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(* (sqrt (/ (- 1 u1) u1)) (/ 1 (cos (* -314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))

rewrite185.0ms (2.7%)

Memory

8.5MiB live, 359.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	146
0	54	148
1	146	137
2	755	137
3	6244	137
0	8212	137

Stop Event

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

Counts

17 → 1 035

Calls

Call 1

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

Outputs
(.f32 (.f32 #s(literal -1 binary32) (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 (neg.f32 u2)) #s(literal 314159265359/50000000000 binary32))
(*.f32 (neg.f32 u2) #s(literal -314159265359/50000000000 binary32))
(.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal -1 binary32))
(*.f32 #s(literal -314159265359/50000000000 binary32) (neg.f32 u2))
(.f32 #s(literal 1 binary32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) 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)
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (.f32 #s(literal -314159265359/50000000000 binary32) u2))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 #s(literal 0 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(-.f32 #s(literal 0 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+.f32 #s(literal 0 binary32) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(*.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))
(*.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))
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(/.f32 (.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (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)))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -1 binary32))
(/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32)))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (*.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(/.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 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (pow.f32 u1 #s(literal -1/2 binary32)))
(/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1 binary32)))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.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))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 #s(literal 0 binary32) (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.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)))))
(fma.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.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)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(pow.f32 (exp.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))) #s(literal -1 binary32))
(pow.f32 (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1/2 binary32))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(fabs.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.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 (.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 u1 (-.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 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32))) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(neg.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (pow.f32 u1 #s(literal 1/4 binary32))) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))))
(*.f32 (cos.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (PI.f32))) (neg.f32 (sqrt.f32 u1)))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1 binary32))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (neg.f32 (neg.f32 (sqrt.f32 u1))))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(.f32 #s(literal 1 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(.f32 #s(literal -1 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(-.f32 #s(literal 0 binary32) (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 u1) (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(pow.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) #s(literal 1 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32)) (sqrt.f32 u1)) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (sqrt.f32 u1)) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+.f32 (.f32 (sqrt.f32 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(literal 0 binary32))) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+.f32 (.f32 (sqrt.f32 u1) (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(exp.f32 (.f32 (log.f32 (/.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))

eval119.0ms (1.7%)

Memory: -14.6MiB live, 224.3MiB allocated
Compiler: Compiled 27 079 to 3 476 computations (87.2% saved)

prune48.0ms (0.7%)

Memory

17.1MiB live, 94.2MiB allocated

Pruning

41 alts after pruning (36 fresh and 5 done)

	Pruned	Kept	Total
New	1 049	31	1 080
Fresh	8	5	13
Picked	1	4	5
Done	0	1	1
Total	1 058	41	1 099

Accuracy

99.7%

Counts

1 099 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.3%	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	75.4%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1)))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	30.3%	(.f32 (sqrt.f32 (+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))))))
✓	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
	98.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
▶	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	77.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	77.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
	77.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	17.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
✓	75.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
	62.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
	71.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	69.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
	4.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
▶	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 1 769 to 1 389 computations (21.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize123.0ms (1.8%)

Memory

-16.9MiB live, 101.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.1640625	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.19606858180279788	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.25	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.140625	(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
accuracy	0.1640625	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	6.969728825916617	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
accuracy	0.15234375	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1875	(/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.34994125976844204	(*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1)))
accuracy	6.969728825916617	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	6.969728825916617	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	7.7139250351807265	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.16015625	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
accuracy	0.24609375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.4406221938340701	(-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))

Samples

94.0ms

256×

valid

Compiler

Compiled 466 to 81 computations (82.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-div: 31.0ms (41.9% of total)

ival-mult: 11.0ms (14.9% of total)

ival-sin: 8.0ms (10.8% of total)

ival-sqrt: 7.0ms (9.5% of total)

const: 4.0ms (5.4% of total)

ival-pow: 4.0ms (5.4% of total)

ival-sub: 3.0ms (4.1% of total)

ival-cos: 3.0ms (4.1% of total)

ival-neg: 2.0ms (2.7% of total)

ival-pi: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

18 → 93

Calls

Call 1

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

Outputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 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) (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 (- (* -3/8 u1) 1/2)) 1)
(- (* u1 (- (* u1 (- (* -5/16 u1) 3/8)) 1/2)) 1)
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ 1 (* -1 u1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 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))))
(* (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)))))
(* -1 (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))
(+ (* -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 (* (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 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 u1) 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 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)))
(+ (* 1/2 (/ (* (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) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1)))))
(+ (* -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)))))
(* -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 -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 (* u1 (- 1 (/ 1 u1))))
(* -1/2 (PI))
(- (* 314159265359/50000000000 u2) (* 1/2 (PI)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1)))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (cos (* 1/2 (PI))) (sqrt -1))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (sin (* 1/2 (PI))) (sqrt -1))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* (cos (* 1/2 (PI))) (sqrt -1)))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* (cos (* 1/2 (PI))) (sqrt -1)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (cos (* 1/2 (PI))) (sqrt -1))))))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (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)))))))))
(+ 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)))
(* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	((- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (/ -1 (sqrt (- 1 u1))) (neg (sqrt u1))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (pow (/ (- 1 u1) u1) -1/2) (- 1 u1) (* 314159265359/50000000000 u2) (/ 1 (/ (- 1 u1) u1)) (cos (* 314159265359/50000000000 u2)))
3.0ms	u1	@	inf	((- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (/ -1 (sqrt (- 1 u1))) (neg (sqrt u1))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (pow (/ (- 1 u1) u1) -1/2) (- 1 u1) (* 314159265359/50000000000 u2) (/ 1 (/ (- 1 u1) u1)) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	0	((- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (/ -1 (sqrt (- 1 u1))) (neg (sqrt u1))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (pow (/ (- 1 u1) u1) -1/2) (- 1 u1) (* 314159265359/50000000000 u2) (/ 1 (/ (- 1 u1) u1)) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	inf	((- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (/ -1 (sqrt (- 1 u1))) (neg (sqrt u1))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (pow (/ (- 1 u1) u1) -1/2) (- 1 u1) (* 314159265359/50000000000 u2) (/ 1 (/ (- 1 u1) u1)) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	-inf	((- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (/ -1 (- u1 1)) u1) (* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (/ -1 (sqrt (- 1 u1))) (neg (sqrt u1))) (/ -1 (sqrt (- 1 u1))) (sqrt (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (- 1 u1) u1) (pow (/ (- 1 u1) u1) -1/2) (- 1 u1) (* 314159265359/50000000000 u2) (/ 1 (/ (- 1 u1) u1)) (cos (* 314159265359/50000000000 u2)))

simplify87.0ms (1.3%)

Memory

6.0MiB live, 88.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	420	2060
0	1447	1922

Stop Event

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

Counts

93 → 92

Calls

Call 1

Inputs
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 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) (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 (- (* -3/8 u1) 1/2)) 1)
(- (* u1 (- (* u1 (- (* -5/16 u1) 3/8)) 1/2)) 1)
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(+ 1 (* -1 u1))
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 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))))
(* (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)))))
(* -1 (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))
(+ (* -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 (* (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 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 u1) 1)
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 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)))
(+ (* 1/2 (/ (* (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) (pow (sqrt -1) 2)))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))))
(+ (* -1 (* (sqrt (/ 1 u1)) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1)))))
(+ (* -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)))))
(* -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 -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 (* u1 (- 1 (/ 1 u1))))
(* -1/2 (PI))
(- (* 314159265359/50000000000 u2) (* 1/2 (PI)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1)))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (cos (* 1/2 (PI))) (sqrt -1))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (sin (* 1/2 (PI))) (sqrt -1))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* (cos (* 1/2 (PI))) (sqrt -1)))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- u1 1))) (* (cos (* 1/2 (PI))) (sqrt -1)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (sqrt -1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* u2 (* (cos (* 1/2 (PI))) (sqrt -1))))))))) (* (sqrt (/ u1 (- u1 1))) (* (sin (* 1/2 (PI))) (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)))))))))
(+ 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)))
(* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2))))
(* (sqrt (/ u1 (- u1 1))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(* (sqrt (/ u1 (- u1 1))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))

Outputs
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
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(* 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)))))
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(* (sqrt (/ u1 (- u1 1))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))
(* (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))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))
(* (sqrt (/ u1 (- u1 1))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))

rewrite425.0ms (6.2%)

Memory

-158.1MiB live, 269.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	157
0	60	163
1	197	136
2	1299	136
0	8715	135

Stop Event

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

Counts

18 → 800

Calls

Call 1

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

Outputs
(.f32 (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(.f32 (neg.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))))) (+.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(/.f32 (-.f32 (.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))) (+.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (fma.f32 (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))))
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32)) (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 3 binary32))) (-.f32 (pow.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32)))))) (neg.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))))) (neg.f32 (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))))) (.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (neg.f32 (pow.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 2 binary32))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal -1/2 binary32) (PI.f32))))
(/.f32 (neg.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 #s(literal -1/4 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
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(+.f32 (.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 (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 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1)))) (sinh.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1)))))
(exp.f32 (fma.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(exp.f32 (fma.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1/2 binary32) (*.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32)))
(exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))
(neg.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (+.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (-.f32 (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (-.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (fma.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (-.f32 (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))))))
(-.f32 (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (neg.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) #s(literal 0 binary32) (.f32 (cos.f32 (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (cos.f32 (PI.f32)) (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sin.f32 (PI.f32))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal -1 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal -1 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))))
(sin.f32 (+.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (PI.f32))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(sin.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (PI.f32)))
(sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+.f32 (.f32 #s(literal -1 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (.f32 #s(literal -1 binary32) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))))
(+.f32 (neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32))) (neg.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32))))
(+.f32 (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (cos.f32 (PI.f32))) (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sin.f32 (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) #s(literal 1 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (neg.f32 (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+.f32 #s(literal 0 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (neg.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (PI.f32)))))
(cos.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (PI.f32))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(neg.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

eval100.0ms (1.5%)

Memory: 7.3MiB live, 163.3MiB allocated
Compiler: Compiled 27 574 to 3 912 computations (85.8% saved)

prune82.0ms (1.2%)

Memory

-5.1MiB live, 156.7MiB allocated

Pruning

53 alts after pruning (45 fresh and 8 done)

	Pruned	Kept	Total
New	983	17	1 000
Fresh	3	28	31
Picked	2	3	5
Done	0	5	5
Total	988	53	1 041

Accuracy

99.7%

Counts

1 041 → 53

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.3%	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	97.9%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
▶	98.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
	87.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 #s(approx ( (/ -1 (- u1 1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))))))
✓	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
	98.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	77.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	77.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
✓	77.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
▶	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	77.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 u1))))
	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	77.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	17.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
✓	75.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
	62.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
	71.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	70.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
▶	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
	4.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
▶	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
✓	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 2 355 to 1 875 computations (20.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize168.0ms (2.4%)

Memory

11.6MiB live, 222.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.18255517704249594	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.25619125976844204	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))
accuracy	0.32421875	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.34603500976844204	(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.38671875	(/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))
accuracy	6.78462124289201	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
accuracy	7.390509318539852	(fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))
accuracy	0.109375	(/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
accuracy	0.13346892682900036	(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
accuracy	0.31640625	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
accuracy	6.78462124289201	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	0.5078125	(/.f32 u1 (sqrt.f32 u1))
accuracy	6.78462124289201	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
accuracy	7.134322403545947	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1)))
accuracy	0.15625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
accuracy	0.32421875	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.4328096938340701	(-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32)))
accuracy	0.819981100067167	(PI.f32)

Samples

95.0ms	249×	0	valid
7.0ms	7×	5	exit

Compiler

Compiled 708 to 97 computations (86.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-div: 31.0ms (37.2% of total)

ival-mult: 15.0ms (18% of total)

ival-sin: 8.0ms (9.6% of total)

ival-sub: 6.0ms (7.2% of total)

ival-sqrt: 6.0ms (7.2% of total)

ival-neg: 5.0ms (6% of total)

const: 4.0ms (4.8% of total)

adjust: 2.0ms (2.4% of total)

ival-cos: 2.0ms (2.4% of total)

ival-add: 2.0ms (2.4% of total)

ival-pi: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series38.0ms (0.6%)

Memory

-11.5MiB live, 27.1MiB allocated

Counts

20 → 86

Calls

Call 1

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

Outputs
(* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 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) (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 (* -1 u1))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (* -1 u1) 1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 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))))
(* (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)))))
(* -1 u1)
(* u1 (- (/ 1 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)))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 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)))
(+ (* 1/2 (/ (* (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) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1/2 (PI))
(- (* 314159265359/50000000000 u2) (* 1/2 (PI)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(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)))))))))
(+ 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)))
(sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	-inf	((PI) (- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ u1 (- 1 u1)) (+ (* u1 -1) -1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (- u1 -1)) (* (/ -1 (sqrt (+ (/ (* u1 u1) (+ (* u1 -1) -1)) (/ 1 (- u1 -1))))) (neg (sqrt u1))) (* 314159265359/50000000000 u2) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))))
3.0ms	u1	@	-inf	((PI) (- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ u1 (- 1 u1)) (+ (* u1 -1) -1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (- u1 -1)) (* (/ -1 (sqrt (+ (/ (* u1 u1) (+ (* u1 -1) -1)) (/ 1 (- u1 -1))))) (neg (sqrt u1))) (* 314159265359/50000000000 u2) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))))
3.0ms	u2	@	inf	((PI) (- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ u1 (- 1 u1)) (+ (* u1 -1) -1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (- u1 -1)) (* (/ -1 (sqrt (+ (/ (* u1 u1) (+ (* u1 -1) -1)) (/ 1 (- u1 -1))))) (neg (sqrt u1))) (* 314159265359/50000000000 u2) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))))
2.0ms	u1	@	inf	((PI) (- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ u1 (- 1 u1)) (+ (* u1 -1) -1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (- u1 -1)) (* (/ -1 (sqrt (+ (/ (* u1 u1) (+ (* u1 -1) -1)) (/ 1 (- u1 -1))))) (neg (sqrt u1))) (* 314159265359/50000000000 u2) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))))
2.0ms	u2	@	0	((PI) (- (* u2 314159265359/50000000000) (* 1/2 (PI))) (* u2 314159265359/50000000000) (* (sqrt (/ u1 (- 1 u1))) (sin (neg (- (* u2 314159265359/50000000000) (* 1/2 (PI)))))) (sqrt (/ u1 (- 1 u1))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ u1 (sqrt u1)) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (- (/ 1 u1) 1) u1) (- (/ 1 u1) 1) (/ u1 (- 1 u1)) (+ (* u1 -1) -1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ 1 (- u1 -1)) (* (/ -1 (sqrt (+ (/ (* u1 u1) (+ (* u1 -1) -1)) (/ 1 (- u1 -1))))) (neg (sqrt u1))) (* 314159265359/50000000000 u2) (* (/ u1 (- 1 (* u1 u1))) (- u1 -1)) (cos (* 314159265359/50000000000 u2)) (* (sqrt (* (/ u1 (- 1 (* u1 u1))) (- u1 -1))) (cos (* 314159265359/50000000000 u2))))

simplify77.0ms (1.1%)

Memory

-19.7MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	335	1771
0	1192	1658

Stop Event

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

Counts

86 → 85

Calls

Call 1

Inputs
(* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 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) (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 (* -1 u1))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(- (* -1 u1) 1)
(+ 1 (* u1 (- u1 1)))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 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))))
(* (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)))))
(* -1 u1)
(* u1 (- (/ 1 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)))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(/ (- 1 (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 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)))
(+ (* 1/2 (/ (* (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) (pow (sqrt -1) 2)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (/ (- (/ 1 u1) 1) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(* -1/2 (PI))
(- (* 314159265359/50000000000 u2) (* 1/2 (PI)))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(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)))))))))
(+ 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)))
(sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(cos (* 314159265359/50000000000 u2))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))

Outputs
(* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))))
(fma.f32 (.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))) #s(literal 1/2 binary32) (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) (.f32 u1 u1) (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) u1)) (.f32 u1 u1) (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (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 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 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) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)))) u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (.f32 u1 u1) (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))))
(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 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) 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)))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (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) (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) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)) (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))))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
u1
(* u1 (+ 1 u1))
(*.f32 (+.f32 #s(literal 1 binary32) u1) u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(+ 1 (* u1 (- u1 1)))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1)))
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u1) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))
(* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(+ (* -1/2 (/ (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (/.f32 (.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))))
(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 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))) #s(literal -1/2 binary32) (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 (/ (+ 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 #s(literal -1/2 binary32) (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u1 u1))) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 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)))) (+ (* -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 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (fma.f32 (.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) #s(literal -1/2 binary32) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/4 binary32) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 u1 #s(literal 3 binary32))))) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)
(- (/ 1 u1) 1)
(-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))
(* -1 (+ 1 (/ 1 u1)))
(neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/ (- 1 (/ 1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)) u1)
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1)
(/ (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))) u1)
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) u1)
(+ (* 1/2 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(fma.f32 (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1))) (* -3/8 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (fma.f32 #s(literal -3/8 binary32) (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))))) u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)) u1)) (* 3/8 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* -1/2 (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))) u1)) (* (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 #s(literal 3/8 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32))))) (.f32 #s(literal 5/16 binary32) (.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))) u1)))
(+ (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)))
(fma.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* -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)) (neg.f32 (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1/2 binary32))) 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)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) u1))) u1)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(neg.f32 (*.f32 (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(fma.f32 (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1) #s(literal -1 binary32) #s(literal -1 binary32))
(* -1 (/ (- (/ 1 u1) 1) u1))
(neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1))
(neg.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1) u1))
(neg.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1) #s(literal -1 binary32) #s(literal -1 binary32)) u1))
(* -1/2 (PI))
(*.f32 #s(literal -1/2 binary32) (PI.f32))
(- (* 314159265359/50000000000 u2) (* 1/2 (PI)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))
(.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32) (.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (sin (* 1/2 (PI)))))) (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (.f32 #s(literal -314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) u2))) u2 (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ (* u2 (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (cos (* 1/2 (PI))))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (* u2 (cos (* 1/2 (PI)))))))))) (* (sqrt (/ u1 (- 1 u1))) (sin (* 1/2 (PI)))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 (sin.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) u2 (.f32 (.f32 (cos.f32 (.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal -314159265359/50000000000 binary32))) u2 (.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (sqrt.f32 (/.f32 u1 (-.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 #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)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.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))) (* (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) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) (.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))))
(+ 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 (fma.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 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))
(sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(+ (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2))))
(*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (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))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* -1 (* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)))
(neg.f32 (*.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal -314159265359/50000000000 binary32)) u2))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(.f32 (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 (PI.f32) #s(literal 1/2 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

rewrite155.0ms (2.3%)

Memory

40.2MiB live, 228.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	216
0	87	213
1	304	166
2	2534	150
0	9179	147

Stop Event

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

Counts

20 → 674

Calls

Call 1

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

Outputs
(log.f32 (exp.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (sqrt.f32 (neg.f32 (PI.f32))) (sqrt.f32 (neg.f32 (PI.f32))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (cbrt.f32 (pow.f32 (.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (pow.f32 (.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)))
(.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (.f32 (cbrt.f32 (PI.f32)) (PI.f32))))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 (PI.f32) #s(literal 1 binary32))
(cbrt.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(/.f32 (fabs.f32 (-.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 0 binary32))) (fabs.f32 (fma.f32 (PI.f32) (PI.f32) (+.f32 #s(literal 0 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))))
(/.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 (PI.f32)))
(/.f32 (-.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 0 binary32)) (fma.f32 (PI.f32) (PI.f32) (+.f32 #s(literal 0 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))))
(/.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32))
(/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fabs.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) #s(literal 0 binary32))))))
(/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (fma.f32 (PI.f32) (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) #s(literal 0 binary32)))))
(/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))
(/.f32 #s(literal 1 binary32) (fabs.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (PI.f32) #s(literal 1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (PI.f32)))
(-.f32 (PI.f32) #s(literal 0 binary32))
(fma.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (neg.f32 (PI.f32))) (sqrt.f32 (neg.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32))) (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 2 binary32)) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1/3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 0 binary32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))) #s(literal 0 binary32))
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (cbrt.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (*.f32 (cbrt.f32 (PI.f32)) (PI.f32))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) #s(literal 0 binary32))
(fma.f32 (cbrt.f32 (PI.f32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (PI.f32)) #s(literal 1 binary32)) #s(literal 0 binary32))
(fma.f32 #s(literal -1 binary32) (neg.f32 (PI.f32)) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (PI.f32) #s(literal 0 binary32))
(fma.f32 (PI.f32) (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) #s(literal 0 binary32))
(fma.f32 (PI.f32) (log.f32 (E.f32)) #s(literal 0 binary32))
(fma.f32 (PI.f32) #s(literal 1 binary32) #s(literal 0 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal -1 binary32))
(pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 1/3 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(fabs.f32 (-.f32 (neg.f32 (PI.f32)) #s(literal 0 binary32)))
(fabs.f32 (neg.f32 (PI.f32)))
(fabs.f32 (PI.f32))
(+.f32 (cosh.f32 (log.f32 (PI.f32))) (sinh.f32 (log.f32 (PI.f32))))
(+.f32 #s(literal 0 binary32) (PI.f32))
(+.f32 (PI.f32) #s(literal 0 binary32))
(exp.f32 (-.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (PI.f32))))
(exp.f32 (/.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (/.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (PI.f32) #s(literal 3 binary32))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (log.f32 (PI.f32)))
(neg.f32 (neg.f32 (PI.f32)))
(PI.f32)
(.f32 (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) (neg.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(/.f32 (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3 binary32)) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))) (/.f32 (.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(-.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (.f32 #s(literal -1/2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (neg.f32 (PI.f32)) #s(literal 1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal 1 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal -1 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 1/2 binary32) (neg.f32 (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal -1/2 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (-.f32 (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32)) (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2) (.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (fma.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 3 binary32)) (*.f32 #s(literal -1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))))) #s(literal -1 binary32))
(+.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(+.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 #s(literal -1/2 binary32) (PI.f32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
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(/.f32 (.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u1)))
(/.f32 (.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 u1 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal -1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 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 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (.f32 (-.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal -1 binary32)) u1) (.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 u1 (-.f32 #s(literal -1 binary32) u1))
(fma.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(fma.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(+.f32 (*.f32 u1 (/.f32 u1 (fma.f32 u1 u1 #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 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(neg.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 #s(literal -1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)))
(-.f32 (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 0 binary32)) (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(-.f32 (.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)))
(-.f32 #s(literal 0 binary32) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 (sin.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal -1 binary32))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) (sin.f32 (.f32 (*.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal -1 binary32)))))
(fma.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (PI.f32)))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (.f32 #s(literal -1 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(fma.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (cos.f32 (PI.f32)) (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (sin.f32 (PI.f32))))
(fma.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(sin.f32 (+.f32 (neg.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (PI.f32))))
(sin.f32 (+.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (PI.f32))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(sin.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (PI.f32)))
(sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(+.f32 (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (cos.f32 (PI.f32))) (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sin.f32 (PI.f32))))
(+.f32 (.f32 (sin.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) (cos.f32 (.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal -1 binary32)))) (.f32 (cos.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal -1 binary32))) (sin.f32 (.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) #s(literal -1 binary32)))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (cos.f32 (.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (PI.f32))))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sin.f32 (.f32 #s(literal -1 binary32) (.f32 #s(literal -1/2 binary32) (PI.f32))))))
(+.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32))))) (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(cos.f32 (neg.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(cos.f32 (neg.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(cos.f32 (neg.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal 1/2 binary32) (PI.f32))))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(neg.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sin.f32 (acos.f32 u1))) (.f32 (sqrt.f32 (-.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))))
(.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))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(neg.f32 (.f32 (sin.f32 (fma.f32 #s(literal -1/2 binary32) (PI.f32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

eval82.0ms (1.2%)

Memory: -7.6MiB live, 187.4MiB allocated
Compiler: Compiled 22 289 to 3 923 computations (82.4% saved)

prune75.0ms (1.1%)

Memory

2.1MiB live, 165.6MiB allocated

Pruning

65 alts after pruning (54 fresh and 11 done)

	Pruned	Kept	Total
New	688	23	711
Fresh	9	31	40
Picked	1	4	5
Done	1	7	8
Total	699	65	764

Accuracy

99.8%

Counts

764 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	91.6%	(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.3%	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	77.7%	(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	97.9%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 (E.f32))))))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (+.f32 (neg.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
✓	98.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
✓	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
	87.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 (sqrt.f32 #s(approx ( (/ -1 (- u1 1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))))))
✓	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	98.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	77.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	77.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
	73.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	73.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	60.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
	61.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 u1))))
	14.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
	73.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	77.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	73.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
	77.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 u1))))
	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	77.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
	17.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
	75.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))
✓	75.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
	62.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
	61.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
	70.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
	61.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
	61.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 u1 #s(literal -1 binary32))))))
✓	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
	71.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
	63.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
✓	63.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	5.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))

Compiler

Compiled 3 935 to 1 751 computations (55.5% saved)

regimes213.0ms (3.1%)

Memory

20.0MiB live, 442.0MiB allocated

Counts

90 → 1

Calls

Call 1

Inputs
#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 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))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx ( (/ -1 (- u1 1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/.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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.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))) (-.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (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 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal -1 binary32)))) (sin.f32 (+.f32 (neg.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) u1)) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 u1) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (.f32 #s(literal 1/2 binary32) (.f32 (PI.f32) (log.f32 (E.f32))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (cos.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))) (.f32 (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32))) (*.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal -1 binary32)))))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (neg.f32 (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (PI.f32) (PI.f32))) (pow.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(pow.f32 (pow.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (/.f32 (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32)))) #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 u1) #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) u1)))
(.f32 (sqrt.f32 (+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))

Calls

8 calls:

32.0ms	cosTheta_i
28.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms	u2

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes243.0ms (3.5%)

Memory

1.6MiB live, 325.6MiB allocated

Counts

65 → 1

Calls

Call 1

Inputs
#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 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))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx ( (/ -1 (- u1 1)) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #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))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))

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

Calls

8 calls:

74.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
32.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
29.0ms	u1
26.0ms	u2
25.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes234.0ms (3.4%)

Memory

-20.4MiB live, 175.3MiB allocated

Counts

59 → 2

Calls

Call 1

Inputs
#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 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))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 u1)))

Outputs

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

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

Calls

8 calls:

42.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
41.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
37.0ms	u1
36.0ms	cosTheta_i
29.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
92.2%	2	`u1`
93.2%	2	`u2`
92.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
87.1%	1	`cosTheta_i`
92.9%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes183.0ms (2.7%)

Memory

26.4MiB live, 184.5MiB allocated

Counts

57 → 2

Calls

Call 1

Inputs
#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 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))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (cos.f32 (+.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1)))

Outputs

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

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

Calls

8 calls:

43.0ms	u2
32.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
25.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
78.0%	1	`cosTheta_i`
86.9%	2	`u1`
86.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.4%	2	`u2`
89.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes198.0ms (2.9%)

Memory

-36.0MiB live, 99.7MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 u1 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 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))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1))) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 1 u1))) (fma.f32 (fma.f32 #s(literal -3/8 binary32) u1 #s(literal -1/2 binary32)) u1 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (neg.f32 (sqrt.f32 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))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (- 1 u1) (-.f32 #s(literal 1 binary32) u1)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ -1 (sqrt (- 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))) (neg.f32 (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) (.f32 u2 u2) (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (*.f32 (-.f32 u1 #s(literal -1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32)))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (/.f32 u1 (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (-.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 (/.f32 (*.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 #s(approx (- 1 u1) (/.f32 (+.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 (-.f32 #s(literal -1 binary32) u1) (.f32 u1 u1))) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (fma.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (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))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (neg.f32 (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (*.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))) u1) #s(literal -1 binary32) (sqrt.f32 #s(literal -1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) #s(approx (/ 1 (- u1 -1)) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 u1 (fma.f32 u1 u1 u1)) (-.f32 #s(literal -1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal -1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 (*.f32 u1 u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal -1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (/.f32 (-.f32 (.f32 (.f32 u1 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)))) (/.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal -1 binary32)))))) (neg.f32 (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
(/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- 1 u1)) (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (fma.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/30000000000000000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (.f32 u2 u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 #s(literal -1 binary32) #s(literal -1 binary32))) (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))) (neg.f32 (sqrt.f32 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:

51.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
39.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.0ms	cosTheta_i
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
78.0%	1	`cosTheta_i`
78.0%	1	`u1`
78.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
78.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
78.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
78.0%	1	`u2`
78.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
78.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes20.0ms (0.3%)

Memory

23.5MiB live, 23.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

3.0ms	(.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	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
71.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
71.1%	1	`u1`
71.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
71.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
71.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
71.1%	1	`cosTheta_i`
71.1%	1	`u2`
71.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes50.0ms (0.7%)

Memory

-20.9MiB live, 17.9MiB allocated

Accuracy

Total -19.1b remaining (-162.3%)

Threshold costs -19.1b (-162.3%)

Counts

2 → 1

Calls

Call 1

Inputs

#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 (- 1 u1))) (neg.f32 (sqrt.f32 u1))))

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

Calls

8 calls:

40.0ms	u1
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 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
63.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.2%	1	`cosTheta_i`
63.2%	1	`u2`
63.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.2%	1	`u1`
63.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0014396922197192907	0.0015358100645244122

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999391436576843	0.9999464154243469

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify68.0ms (1%)

Memory

-0.5MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	175
1	64	175
2	85	175
3	132	174
4	210	174
5	295	174
6	361	174
7	438	174
8	480	174
9	517	174
10	578	174
11	590	174
12	592	174

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 6442451/4294967296 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16776209/16777216 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #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) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(.f32 (sin.f32 (-.f32 (.f32 (PI.f32) #s(literal 1/2 binary32)) (*.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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 6442451/4294967296 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 6442451/4294967296 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16776209/16777216 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16776209/16777216 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (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)))))
#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 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (-.f32 u1 #s(literal -1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness574.0ms (8.4%)

Memory

14.7MiB live, 405.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	16	23
1	54	23
2	310	23
0	2656	23
0	141	583
0	485	549
0	39	157
0	60	163
1	197	136
2	1299	136
0	8715	135
0	481	2571
0	1726	2447
0	335	1771
0	1192	1658
0	34	146
0	54	148
1	146	137
2	755	137
3	6244	137
0	8212	137

Stop Event

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

Compiler

Compiled 306 to 163 computations (46.7% saved)

preprocess64.0ms (0.9%)

Memory

-7.3MiB live, 69.4MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 610 to 350 computations (42.6% saved)

end0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

Iter	Nodes	Cost
0	42	175
1	64	175
2	85	175
3	132	174
4	210	174
5	295	174
6	361	174
7	438	174
8	480	174
9	517	174
10	578	174
11	590	174
12	592	174

Iter	Nodes	Cost
0	42	175
1	64	175
2	85	175
3	132	174
4	210	174
5	295	174
6	361	174
7	438	174
8	480	174
9	517	174
10	578	174
11	590	174
12	592	174

start0.0ms (0%)

analyze260.0ms (3.8%)

sample2.1s (30.1%)

explain110.0ms (1.6%)

preprocess255.0ms (3.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify0.0ms (0%)

localize34.0ms (0.5%)

series7.0ms (0.1%)

simplify34.0ms (0.5%)

rewrite117.0ms (1.7%)

eval16.0ms (0.2%)

prune40.0ms (0.6%)

simplify0.0ms (0%)

localize114.0ms (1.7%)

series70.0ms (1%)

simplify99.0ms (1.4%)

rewrite185.0ms (2.7%)

eval119.0ms (1.7%)

prune48.0ms (0.7%)

simplify0.0ms (0%)

localize123.0ms (1.8%)

series16.0ms (0.2%)

simplify87.0ms (1.3%)

rewrite425.0ms (6.2%)

eval100.0ms (1.5%)

prune82.0ms (1.2%)

simplify0.0ms (0%)

localize168.0ms (2.4%)

series38.0ms (0.6%)

simplify77.0ms (1.1%)

rewrite155.0ms (2.3%)

eval82.0ms (1.2%)

prune75.0ms (1.1%)

regimes213.0ms (3.1%)

regimes243.0ms (3.5%)

regimes234.0ms (3.4%)

regimes183.0ms (2.7%)

regimes198.0ms (2.9%)

regimes20.0ms (0.3%)

regimes50.0ms (0.7%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify68.0ms (1%)

soundness574.0ms (8.4%)

preprocess64.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	42	175
1	64	175
2	85	175
3	132	174
4	210	174
5	295	174
6	361	174
7	438	174
8	480	174
9	517	174
10	578	174
11	590	174
12	592	174