Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze318.0ms (3.3%)

Memory

-0.1MiB live, 471.1MiB allocated; 111ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (19.5%)

Memory

36.6MiB live, 2 372.0MiB allocated; 612ms collecting garbage

Samples

1.3s	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

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

const: 430.0ms (39.9% of total)

ival-mult: 133.0ms (12.4% of total)

ival-<=: 120.0ms (11.1% of total)

ival-cos: 100.0ms (9.3% of total)

ival-sqrt: 90.0ms (8.4% of total)

ival-div: 82.0ms (7.6% of total)

ival-sub: 51.0ms (4.7% of total)

ival-and: 34.0ms (3.2% of total)

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

exact: 5.0ms (0.5% of total)

adjust: 3.0ms (0.3% of total)

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

Bogosity

explain159.0ms (1.7%)

Memory

3.3MiB live, 141.8MiB allocated; 11ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
2	-	2	(0.9999381303787231 0.06709928065538406 0.7392313480377197)	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`u2`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	0	-	`u1`
0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0.3333333333333333

Recall?

0.5

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

104.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 88.0ms

const: 60.0ms (68.4% of total)

ival-sqrt: 7.0ms (8% of total)

ival-mult: 6.0ms (6.8% of total)

ival-cos: 6.0ms (6.8% of total)

ival-div: 4.0ms (4.6% of total)

ival-sub: 3.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

preprocess64.0ms (0.7%)

Memory

-44.5MiB live, 55.7MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

Outputs

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 11 to 11 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(.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)

simplify4.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize33.0ms (0.3%)

Memory

7.7MiB live, 52.8MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.1489079981959479	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.20703125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

26.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

const: 4.0ms (25.9% of total)

ival-mult: 3.0ms (19.4% of total)

ival-cos: 3.0ms (19.4% of total)

ival-div: 2.0ms (13% of total)

ival-sqrt: 2.0ms (13% of total)

ival-sub: 1.0ms (6.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated; 0ms collecting garbage

Counts

6 → 46

Calls

Call 1

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

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

Calls

9 calls:

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

simplify148.0ms (1.5%)

Memory

-8.8MiB live, 127.4MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	803
1	663	713
2	2648	625
0	8437	593

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 45

Calls

Call 1

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

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

rewrite182.0ms (1.9%)

Memory

20.6MiB live, 218.8MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	49	32
2	226	32
3	1582	32
0	8928	32

Stop Event

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

Counts

6 → 398

Calls

Call 1

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

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

eval47.0ms (0.5%)

Memory: 14.9MiB live, 104.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 13 070 to 2 044 computations (84.4% saved)

prune27.0ms (0.3%)

Memory

-36.3MiB live, 65.2MiB allocated; 10ms collecting garbage

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	420	23	443
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	420	24	444

Accuracy

99.9%

Counts

444 → 24

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)))
	97.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
▶	98.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (+.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32)))) (+.f32 (sin.f32 (-.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))) #s(literal 2 binary32)))
	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (.f32 (cos.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (PI.f32))) #s(literal 1 binary32))))
	98.4%	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
▶	98.9%	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.3%	(.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 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	86.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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 #s(literal 1 binary32) u1))))
	96.2%	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	91.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 905 to 729 computations (19.4% saved)

simplify196.0ms (2%)

Memory

22.3MiB live, 208.1MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1	(fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32))
cost-diff	1	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	4	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff	3	(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	247
0	66	241
1	107	241
2	207	237
3	456	222
4	1759	222
5	6203	222
0	8837	220

Stop Event

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

Calls

Call 1

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

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

localize114.0ms (1.2%)

Memory

24.4MiB live, 164.0MiB allocated; 29ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1489079981959479	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.20703125	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3671875	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
accuracy	0.1875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.20703125	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.21875	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.1489079981959479	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.20703125	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.478171284325171	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.09765625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.979262397673818	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.09765625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.20703125	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.3203125	(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

91.0ms

256×

valid

Compiler

Compiled 235 to 35 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 35.0ms (46.8% of total)

ival-sin: 10.0ms (13.4% of total)

ival-div: 7.0ms (9.4% of total)

const: 7.0ms (9.4% of total)

ival-sqrt: 6.0ms (8% of total)

ival-add: 4.0ms (5.3% of total)

ival-cos: 3.0ms (4% of total)

ival-pi: 1.0ms (1.3% of total)

ival-sub: 1.0ms (1.3% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

-11.8MiB live, 33.7MiB allocated; 7ms collecting garbage

Counts

21 → 99

Calls

Call 1

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

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

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))
3.0ms	u2	@	inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	-inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))
2.0ms	u2	@	0	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (sqrt (- 1 u1)) (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1)) (+ -1 (* u1 u1)) (+ (* -1 u1) -1) (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (* 314159265359/50000000000 u2) (cos (* 314159265359/50000000000 u2)))

simplify215.0ms (2.2%)

Memory

-10.9MiB live, 224.5MiB allocated; 33ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2121
1	1357	1949
2	5497	1928
0	8081	1774

Stop Event

1×	iter limit
1×	node limit

Counts

99 → 98

Calls

Call 1

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

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

rewrite183.0ms (1.9%)

Memory

0.9MiB live, 180.2MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	171
0	66	163
1	206	160
2	1237	156
0	9195	153

Stop Event

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

Counts

21 → 614

Calls

Call 1

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

Outputs
(/.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))) (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))
(/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (-.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32)) (pow.f32 (.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) #s(literal 1 binary32)) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) #s(literal 1 binary32))))))
(/.f32 (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 3 binary32)) (.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 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 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))))
(/.f32 (fma.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32) (.f32 (pow.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))) (+.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))))))
(/.f32 (+.f32 (-.f32 (cos.f32 (-.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32)))) (+.f32 (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (-.f32 (cos.f32 (-.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32) (.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))))))
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(/.f32 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32) (.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (sin.f32 (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(-.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) #s(literal 1 binary32)))
(-.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 (neg.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 0 binary32)))
(-.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(-.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(-.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(-.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (*.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32) (.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(fma.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 #s(literal 0 binary32) (sin.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32)) (+.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))))) (/.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))))))
(+.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))) (cos.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))))) (sin.f32 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 (/.f32 (PI.f32) #s(literal 2 binary32)) (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))))))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(+.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(+.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (*.f32 (neg.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32)))) #s(literal 1 binary32)))
(+.f32 (.f32 #s(literal 0 binary32) (sin.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval123.0ms (1.3%)

Memory: -3.9MiB live, 191.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 21 939 to 2 888 computations (86.8% saved)

prune48.0ms (0.5%)

Memory

13.5MiB live, 163.2MiB allocated; 8ms collecting garbage

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	734	32	766
Fresh	8	10	18
Picked	3	2	5
Done	0	1	1
Total	745	45	790

Accuracy

99.9%

Counts

790 → 45

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	97.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
▶	93.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.5%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.4%	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
▶	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.3%	(.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 u1 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #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 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.7%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.6%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	86.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	86.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.8%	(*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	74.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))))))) (.f32 u1 u1) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1))))
	74.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
	93.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	87.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	91.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	77.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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) (-.f32 u1 #s(literal 1 binary32))))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.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 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	73.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
	72.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
	70.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
▶	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	78.0%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))

Compiler

Compiled 2 233 to 1 626 computations (27.2% saved)

simplify205.0ms (2.1%)

Memory

-7.1MiB live, 182.4MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	2	(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
cost-diff	1	(fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	363
0	90	359
1	129	357
2	220	357
3	458	357
4	905	357
5	1633	357
6	2262	357
7	2742	357
8	2883	357
9	2970	357
10	3072	357
11	3412	357
12	3978	357
13	4564	357
14	5777	357
15	7810	357
0	8170	351

Stop Event

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

Calls

Call 1

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

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

localize173.0ms (1.8%)

Memory

0.9MiB live, 332.9MiB allocated; 31ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
accuracy	0.20703125	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.296875	(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.21875	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.265625	(.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
accuracy	0.33984375	(.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
accuracy	1.9192755388335532	#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))
accuracy	0.15234375	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.16796875	(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
accuracy	0.3326950195368841	(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
accuracy	6.979262397673818	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	6.979262397673818	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.015632229284705	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.20703125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
accuracy	0.28515625	(.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy	0.33715013778832237	(-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy	0.35546875	(/.f32 (PI.f32) u2)

Samples

108.0ms

256×

valid

Compiler

Compiled 282 to 50 computations (82.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 22.0ms (26% of total)

const: 18.0ms (21.3% of total)

ival-sin: 12.0ms (14.2% of total)

ival-div: 10.0ms (11.8% of total)

ival-sqrt: 9.0ms (10.6% of total)

ival-sub: 5.0ms (5.9% of total)

ival-add: 3.0ms (3.5% of total)

ival-cos: 3.0ms (3.5% of total)

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

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.2%)

Memory

31.6MiB live, 31.6MiB allocated; 0ms collecting garbage

Counts

25 → 113

Calls

Call 1

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

Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(pow (sqrt -1) 2)
(+ (* -1/2 u1) (pow (sqrt -1) 2))
(+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2))
(+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (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) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (* (sqrt -1) (- 1 (* 1/4 u1))))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (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)))
(/ (PI) u2)
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) u2)
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (sqrt (/ -1 (- u1 1))) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (* u1 (/ 1 (- 1 u1))) (* (sqrt (* u1 (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (/ -1 (- u1 1)) (cos (* 314159265359/50000000000 u2)) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* 314159265359/50000000000 u2))
3.0ms	u2	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (sqrt (/ -1 (- u1 1))) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (* u1 (/ 1 (- 1 u1))) (* (sqrt (* u1 (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (/ -1 (- u1 1)) (cos (* 314159265359/50000000000 u2)) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* 314159265359/50000000000 u2))
3.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (sqrt (/ -1 (- u1 1))) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (* u1 (/ 1 (- 1 u1))) (* (sqrt (* u1 (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (/ -1 (- u1 1)) (cos (* 314159265359/50000000000 u2)) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* 314159265359/50000000000 u2))
2.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (sqrt (/ -1 (- u1 1))) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (* u1 (/ 1 (- 1 u1))) (* (sqrt (* u1 (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (/ -1 (- u1 1)) (cos (* 314159265359/50000000000 u2)) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* 314159265359/50000000000 u2))
2.0ms	u1	@	inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (sqrt (/ -1 (- u1 1))) (+ (* (- (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/ (sqrt u1) (sqrt (- 1 u1))) (* u1 (/ 1 (- 1 u1))) (* (sqrt (* u1 (/ 1 (- 1 u1)))) (cos (* 314159265359/50000000000 u2))) (sqrt (* u1 (/ 1 (- 1 u1)))) (/ 1 (- 1 u1)) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (/ -1 (- u1 1)) (cos (* 314159265359/50000000000 u2)) (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (* 314159265359/50000000000 u2))

simplify262.0ms (2.7%)

Memory

-9.7MiB live, 172.7MiB allocated; 21ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	407	2117
1	1363	1873
2	5699	1854
0	8018	1729

Stop Event

1×	iter limit
1×	node limit

Counts

113 → 112

Calls

Call 1

Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(pow (sqrt -1) 2)
(+ (* -1/2 u1) (pow (sqrt -1) 2))
(+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2))
(+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (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) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (* (sqrt -1) (- 1 (* 1/4 u1))))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(* (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)))
(/ (PI) u2)
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) u2)
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 314159265359/50000000000 u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(cos (* 314159265359/50000000000 u2))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))

Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(fma.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1)) (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))))) (.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 u1 u1) (.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (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 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow 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 u1 #s(literal 1/2 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))) (*.f32 u1 u1) (sqrt.f32 u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))
(.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 #s(literal 1/2 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))))) (.f32 u1 u1) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))
(* (sqrt u1) (pow (sqrt -1) 2))
(neg.f32 (sqrt.f32 u1))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (pow.f32 u1 #s(literal 3 binary32))) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) u1) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 u1 u1) (neg.f32 (sqrt.f32 u1)))
(pow (sqrt -1) 2)
#s(literal -1 binary32)
(+ (* -1/2 u1) (pow (sqrt -1) 2))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal -1 binary32))
(+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2))
(fma.f32 (-.f32 (*.f32 #s(literal -3/8 binary32) u1) #s(literal 1/2 binary32)) u1 #s(literal -1 binary32))
(+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2))
(fma.f32 (-.f32 (*.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))
(+ 1 u1)
(+.f32 #s(literal 1 binary32) u1)
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
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(fma.f32 (fma.f32 (.f32 #s(literal -314159265359/50000000000 binary32) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (.f32 (.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal -1/2 binary32) (PI.f32)))) u2 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sin.f32 (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2)) u2 (.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (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 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))
(fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))
(/ (PI) u2)
(/.f32 (PI.f32) u2)
(* 1/2 (/ (PI) u2))
(*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32))
(/ (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))) u2)
(/.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32))) u2)
(* 1/2 (PI))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(*.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 (pow.f32 u2 #s(literal 6 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(.f32 (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32)))) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32))) (-.f32 (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 98696044010906577398881/5000000000000000000000 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (pow.f32 u2 #s(literal 6 binary32)))
-314159265359/50000000000
#s(literal -314159265359/50000000000 binary32)
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32))
(* -314159265359/50000000000 u2)
(*.f32 u2 #s(literal -314159265359/50000000000 binary32))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(cos (* 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(*.f32 (pow.f32 u2 #s(literal 3 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 3 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(*.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (-.f32 (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(*.f32 (neg.f32 u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal -1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (pow.f32 (neg.f32 u2) #s(literal 3 binary32)) (-.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))

rewrite393.0ms (4.1%)

Memory

9.6MiB live, 211.5MiB allocated; 56ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	261
0	90	253
1	259	249
2	1446	249
0	8269	248

Stop Event

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

Counts

25 → 400

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #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))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
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(/.f32 (neg.f32 (.f32 (-.f32 (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2))) (neg.f32 (-.f32 (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2))) (neg.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (.f32 (-.f32 (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) (-.f32 (.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)))
(fabs.f32 (neg.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(fabs.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(fabs.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))

eval127.0ms (1.3%)

Memory: -6.9MiB live, 111.0MiB allocated; 28ms collecting garbage
Compiler: Compiled 19 098 to 2 367 computations (87.6% saved)

prune91.0ms (1%)

Memory

12.4MiB live, 111.0MiB allocated; 25ms collecting garbage

Pruning

55 alts after pruning (49 fresh and 6 done)

	Pruned	Kept	Total
New	485	19	504
Fresh	7	30	37
Picked	2	3	5
Done	0	3	3
Total	494	55	549

Accuracy

100.0%

Counts

549 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	93.0%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	97.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (PI.f32) u2)) #s(literal 314159265359/50000000000 binary32)) u2))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	93.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.5%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(approx ( (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	93.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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))))
	93.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))))
	93.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	71.6%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx (- 1 u1) #s(literal 1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	98.4%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.4%	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
▶	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.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)))
	93.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.3%	(.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))))
	93.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #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 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (sqrt.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)))))
	86.4%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.6%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	86.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	92.8%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	74.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
	74.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (.f32 (sin.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (.f32 #s(literal 1/2 binary32) (PI.f32)))) (sqrt.f32 u1)))
	93.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	87.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	91.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	77.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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) (-.f32 u1 #s(literal 1 binary32))))))
▶	77.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.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 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	73.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
	72.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
	70.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
▶	4.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1))))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	78.0%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))

Compiler

Compiled 2 788 to 2 085 computations (25.2% saved)

simplify618.0ms (6.4%)

Memory

-67.2MiB live, 217.3MiB allocated; 838ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
cost-diff	0	(fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))
cost-diff	0	#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))
cost-diff	0	(.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1))
cost-diff	0	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
cost-diff	5	(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(neg.f32 (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1))))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	500
0	106	500
1	167	496
2	321	496
3	741	480
4	1822	480
5	4984	480
0	8179	474

Stop Event

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

Calls

Call 1

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

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

localize287.0ms (3%)

Memory

-34.2MiB live, 354.8MiB allocated; 38ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.28515625	(.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy	0.33715013778832237	(-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32))
accuracy	0.35546875	(/.f32 (PI.f32) u2)
accuracy	8.015632229284705	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.21875	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.265625	(.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)
accuracy	0.33984375	(.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2)
accuracy	1.9192755388335532	#s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))
accuracy	0.13671875	(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
accuracy	0.16796875	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))
accuracy	0.3326950195368841	(.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
accuracy	6.979262397673818	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1)))))
accuracy	0.0	(sqrt.f32 u1)
accuracy	0.0	(neg.f32 (sqrt.f32 u1))
accuracy	6.979262397673818	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1))))
accuracy	30.892757083147274	#s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1)))
accuracy	0.09765625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16015625	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.20703125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
accuracy	0.3203125	(fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))

Samples

159.0ms

256×

valid

Compiler

Compiled 333 to 57 computations (82.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

const: 31.0ms (31% of total)

ival-mult: 25.0ms (25% of total)

ival-div: 10.0ms (10% of total)

ival-sin: 8.0ms (8% of total)

ival-sqrt: 8.0ms (8% of total)

ival-add: 7.0ms (7% of total)

ival-sub: 5.0ms (5% of total)

ival-cos: 3.0ms (3% of total)

ival-pi: 1.0ms (1% of total)

exact: 1.0ms (1% of total)

ival-neg: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series25.0ms (0.3%)

Memory

2.4MiB live, 48.5MiB allocated; 4ms collecting garbage

Counts

25 → 128

Calls

Call 1

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

Outputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* -1 (sqrt u1))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(pow (sqrt -1) 2)
(+ (* -1/2 u1) (pow (sqrt -1) 2))
(+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2))
(+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (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) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (* (sqrt -1) (- 1 (* 1/4 u1))))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(pow (sqrt -1) 3)
(+ (* -1/2 (/ (sqrt -1) u1)) (pow (sqrt -1) 3))
(+ (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ (* (sqrt -1) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (pow (sqrt -1) 3))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sqrt -1))) u1)) (pow (sqrt -1) 3))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (- 1 (* -1/4 (/ u1 (pow (sqrt -1) 2)))))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))))
(* (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)))))))))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(/ (PI) u2)
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 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))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))

Calls

9 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg (sqrt u1)) (sqrt u1) (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* u2 -314159265359/50000000000) (* 1/2 (PI))) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1))) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2))
3.0ms	u2	@	-inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg (sqrt u1)) (sqrt u1) (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* u2 -314159265359/50000000000) (* 1/2 (PI))) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1))) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2))
2.0ms	u2	@	inf	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg (sqrt u1)) (sqrt u1) (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* u2 -314159265359/50000000000) (* 1/2 (PI))) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1))) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2))
2.0ms	u2	@	0	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg (sqrt u1)) (sqrt u1) (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* u2 -314159265359/50000000000) (* 1/2 (PI))) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1))) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2))
2.0ms	u1	@	0	((* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (- 1 u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg (sqrt u1)) (sqrt u1) (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (* (sqrt u1) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)))) (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (sqrt (- 1 u1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (cos (* 314159265359/50000000000 u2)) (+ (* (- (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) 98696044010906577398881/5000000000000000000000) (* u2 u2)) 1) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (+ (* u2 -314159265359/50000000000) (* 1/2 (PI))) (sqrt (* (/ -1 (+ (* u1 u1) -1)) (+ 1 u1))) (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (* (* (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) u2) (/ (PI) u2) (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2))

simplify258.0ms (2.7%)

Memory

4.6MiB live, 187.6MiB allocated; 16ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	464	2387
1	1572	2095
2	6585	2080
0	9185	1937

Stop Event

1×	iter limit
1×	node limit

Counts

128 → 127

Calls

Call 1

Inputs
(* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))
(+ (* (sqrt u1) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
1
(+ 1 (* -1 u1))
(* (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) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(* -1 (sqrt u1))
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(pow (sqrt -1) 2)
(+ (* -1/2 u1) (pow (sqrt -1) 2))
(+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2))
(+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2))
(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))))
(+ (* -1/2 (/ (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* (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) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (* (sqrt -1) (- 1 (* 1/4 u1))))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(+ (* 1/2 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))) (* -3/8 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)) u1)) (* 3/8 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* -1/2 (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))) u1)) (* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(* -1 (* u1 (- 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 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(pow (sqrt -1) 3)
(+ (* -1/2 (/ (sqrt -1) u1)) (pow (sqrt -1) 3))
(+ (* -1 (/ (+ (* 1/2 (sqrt -1)) (* 1/2 (/ (* (sqrt -1) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (pow (sqrt -1) 3))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* -1/2 (/ (* (sqrt -1) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* 1/2 (sqrt -1))) u1)) (pow (sqrt -1) 3))
(* -1 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (- 1 (* -1/4 (/ u1 (pow (sqrt -1) 2)))))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))))
(* (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)))))))))
(+ (sqrt u1) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt u1)))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(sin (* 1/2 (PI)))
(+ (sin (* 1/2 (PI))) (* -314159265359/50000000000 (* u2 (cos (* 1/2 (PI))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (* u2 (sin (* 1/2 (PI))))) (* -314159265359/50000000000 (cos (* 1/2 (PI)))))))
(+ (sin (* 1/2 (PI))) (* u2 (+ (* -314159265359/50000000000 (cos (* 1/2 (PI)))) (* u2 (+ (* -98696044010906577398881/5000000000000000000000 (sin (* 1/2 (PI)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 (cos (* 1/2 (PI))))))))))
(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 u2)
(* u2 (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(/ (PI) u2)
(* 1/2 (/ (PI) u2))
(/ (+ (* -314159265359/50000000000 u2) (* 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))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (/ 1 (pow u2 6))) (+ 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (/ 98696044010906577398881/5000000000000000000000 (pow u2 4)))))
(sin (- (* 1/2 (PI)) (* 314159265359/50000000000 u2)))
(* -314159265359/50000000000 u2)
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 4))
(* (pow u2 4) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000))
-314159265359/50000000000
(- (* 1/2 (/ (PI) u2)) 314159265359/50000000000)
(* (sqrt (/ u1 (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))))
(sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI))))
(* -1 (* u2 (+ 314159265359/50000000000 (* -1/2 (/ (PI) u2)))))
(* -1 (* (pow u2 3) (- 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))

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

rewrite335.0ms (3.5%)

Memory

11.9MiB live, 203.8MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	342
0	106	337
1	330	313
2	1978	313
0	8250	310

Stop Event

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

Counts

25 → 419

Calls

Call 1

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

Outputs
(.f32 (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(+.f32 (cosh.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) (.f32 (log.f32 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 u1 (fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
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(/.f32 (.f32 (-.f32 (.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) (-.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(/.f32 (.f32 (fma.f32 #s(literal -888582403072316045452646217178678891027187248031397878124052811958269488480104843150169746712373991334935709783044556185269752461763560102731769199523473600715918327615700960880586771967335181848794343956321/1423828125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/3375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) #s(literal 924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/126562500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/22500000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1687500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))
(*.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) u2))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (cbrt.f32 (PI.f32)) u2))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (PI.f32)))) (neg.f32 (neg.f32 (neg.f32 u2))))
(/.f32 (neg.f32 (neg.f32 (PI.f32))) (neg.f32 (neg.f32 u2)))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 u2))
(/.f32 (PI.f32) u2)
(+.f32 (/.f32 (cosh.f32 (log.f32 (PI.f32))) u2) (/.f32 (sinh.f32 (log.f32 (PI.f32))) u2))
(neg.f32 (/.f32 (neg.f32 (PI.f32)) u2))
(neg.f32 (/.f32 (PI.f32) (neg.f32 u2)))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (neg.f32 (neg.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))) (.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32))) (.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (-.f32 (.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) (.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32))) (neg.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) (neg.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (/.f32 #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))))
(-.f32 (*.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32))
(.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u2 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))))
(/.f32 (neg.f32 (.f32 u2 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))) (neg.f32 (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (.f32 u2 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32)))))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) u2) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (.f32 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)) u2) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))))
(/.f32 (.f32 u2 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 2 binary32)) #s(literal 98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32) #s(literal 314159265359/50000000000 binary32)))
(/.f32 (.f32 u2 (-.f32 (pow.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 3 binary32)) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) (fma.f32 (pow.f32 (/.f32 (PI.f32) u2) #s(literal 2 binary32)) #s(literal 1/4 binary32) (fma.f32 (/.f32 (PI.f32) u2) #s(literal 314159265359/100000000000 binary32) #s(literal 98696044010906577398881/2500000000000000000000 binary32))))

eval77.0ms (0.8%)

Memory: 1.7MiB live, 146.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 23 856 to 3 069 computations (87.1% saved)

prune60.0ms (0.6%)

Memory

-21.1MiB live, 133.9MiB allocated; 17ms collecting garbage

Pruning

57 alts after pruning (49 fresh and 8 done)

	Pruned	Kept	Total
New	592	15	607
Fresh	10	34	44
Picked	3	2	5
Done	0	6	6
Total	605	57	662

Accuracy

100.0%

Counts

662 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.4%	(/.f32 (*.f32 (cos.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	92.9%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
	71.6%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 #s(approx (- 1 u1) #s(literal 1 binary32))))
	90.5%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(approx ( (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) u2) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2)) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.0%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2 #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	87.0%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.0%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2)))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.0%	(/.f32 (.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (+.f32 (.f32 (.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) u2) u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	87.1%	(/.f32 #s(approx (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	97.8%	(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
	93.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	87.1%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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))))
	98.5%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 #s(approx (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (cos.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32)))))) (.f32 (cos.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))) (sin.f32 (/.f32 (/.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 4 binary32)) (-.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)) (/.f32 (PI.f32) #s(literal 2 binary32))))))))
	98.4%	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
✓	98.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.3%	(.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))))
	93.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	90.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))) #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 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (sqrt.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)))))
	86.4%	(.f32 (sqrt.f32 (.f32 u1 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
	90.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
	90.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
✓	86.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))))
	92.8%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	74.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (.f32 (-.f32 (.f32 (/.f32 (PI.f32) u2) #s(literal 1/2 binary32)) #s(literal 314159265359/50000000000 binary32)) u2))))
	74.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
	74.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	91.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	77.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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) (-.f32 u1 #s(literal 1 binary32))))))
	69.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (sqrt.f32 #s(approx ( (/ -1 (+ (* u1 u1) -1)) (+ 1 u1)) (+.f32 #s(literal 1 binary32) u1)))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (/.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 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32))))) (-.f32 #s(literal 1 binary32) u1)))))
✓	78.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	61.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	61.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
	77.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
	73.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))))
	72.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
	70.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	4.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32)))))
✓	4.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (* (sqrt u1) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1))))
✓	63.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	78.0%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))))

Compiler

Compiled 3 929 to 1 581 computations (59.8% saved)

regimes182.0ms (1.9%)

Memory

5.4MiB live, 331.0MiB allocated; 21ms collecting garbage

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

Outputs

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

Calls

8 calls:

24.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
23.0ms	u1
23.0ms	cosTheta_i
22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	u2

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes130.0ms (1.4%)

Memory

11.1MiB live, 253.1MiB allocated; 14ms collecting garbage

Counts

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

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

Calls

8 calls:

17.0ms	u1
17.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
17.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms	cosTheta_i
16.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes144.0ms (1.5%)

Memory

-20.4MiB live, 216.6MiB allocated; 18ms collecting garbage

Counts

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

Outputs

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

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

Calls

8 calls:

30.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
20.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
14.0ms	u2
14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
98.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
97.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.4%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.3%	1	`cosTheta_i`
97.6%	2	`u1`
98.2%	2	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes58.0ms (0.6%)

Memory

0.5MiB live, 147.6MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms	u2
14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
97.8%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.8%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.8%	2	`u2`
97.9%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes56.0ms (0.6%)

Memory

20.4MiB live, 112.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs

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

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

Calls

4 calls:

14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms	u2
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
12.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
97.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.6%	2	`u2`
97.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes156.0ms (1.6%)

Memory

-1.7MiB live, 186.5MiB allocated; 12ms collecting garbage

Counts

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

Outputs

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

Calls

7 calls:

43.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
26.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
24.0ms	u2
12.0ms	u1

Results

Accuracy	Segments	Branch
93.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.3%	1	`u2`
93.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.3%	1	`u1`
93.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes112.0ms (1.2%)

Memory

18.8MiB live, 116.7MiB allocated; 8ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

43.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
25.0ms	u2
7.0ms	u1
7.0ms	cosTheta_i
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
90.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
90.8%	1	`cosTheta_i`
90.8%	1	`u2`
90.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.8%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes83.0ms (0.9%)

Memory

-1.0MiB live, 92.2MiB allocated; 5ms collecting garbage

Counts

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

Outputs

(*.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))))

Calls

8 calls:

25.0ms	u1
24.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms	cosTheta_i
5.0ms	u2
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
87.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
87.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
87.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
87.3%	1	`cosTheta_i`
87.3%	1	`u2`
87.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
87.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
87.3%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes84.0ms (0.9%)

Memory

-26.4MiB live, 71.7MiB allocated; 48ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

46.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	cosTheta_i
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
83.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.9%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
84.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
84.1%	2	`u1`
83.9%	2	`u2`
84.5%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
78.0%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes4.0ms (0%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Counts

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

Outputs

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
84.5%	2	`(.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)

regimes32.0ms (0.3%)

Memory

16.5MiB live, 61.7MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

8 calls:

9.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	cosTheta_i
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes29.0ms (0.3%)

Memory

6.7MiB live, 54.4MiB allocated; 2ms collecting garbage

Counts

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

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

Calls

8 calls:

13.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	u2
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
72.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
72.3%	1	`cosTheta_i`
72.3%	1	`u2`
72.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
72.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
72.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
72.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
72.3%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes33.0ms (0.3%)

Memory

-4.5MiB live, 42.9MiB allocated; 1ms collecting garbage

Counts

3 → 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) (sqrt (/ -1 (- u1 1)))) (neg.f32 (sqrt.f32 u1))))

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

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

Calls

8 calls:

21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
2.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
70.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
70.0%	1	`u2`
70.0%	1	`cosTheta_i`
70.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
70.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
70.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
70.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
70.0%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes44.0ms (0.5%)

Memory

-25.4MiB live, 27.2MiB allocated; 3ms collecting garbage

Accuracy

Total -19.1b remaining (-161.9%)

Threshold costs -19.1b (-161.9%)

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) (sqrt (/ -1 (- u1 1)))) (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:

34.0ms	u2
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
63.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.1%	1	`u2`
63.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.1%	1	`u1`
63.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
63.1%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.06151783838868141	0.06525158882141113

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.016507958993315697	0.017207738012075424

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.016507958993315697	0.017207738012075424

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07000516355037689	0.075837641954422

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07000516355037689	0.075837641954422

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify64.0ms (0.7%)

Memory

-3.1MiB live, 44.4MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	108	532
1	159	532
2	270	531
3	566	528
4	2436	525
5	7892	525

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4563403/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.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))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4563403/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(.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))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5033165/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5033165/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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))) (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)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1090519/16777216 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) u1)))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4563403/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) #s(approx (* (- (* (/ (PI) u2) 1/2) 314159265359/50000000000) u2) (fma.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))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 4563403/268435456 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))))
(.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))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5033165/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5033165/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 5033165/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 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 u1))) (+ (* -1 u1) -1))) (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 u1))) (+ (* -1 u1) -1))) (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)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

derivations1.6s (16.8%)

Memory

88.5MiB live, 1 335.8MiB allocated; 314ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	396	2121
1	1357	1949
2	5497	1928
0	8081	1774
0	56	261
0	90	253
1	259	249
2	1446	249
0	8269	248
0	407	2117
1	1363	1873
2	5699	1854
0	8018	1729
0	464	2387
1	1572	2095
2	6585	2080
0	9185	1937
0	193	803
1	663	713
2	2648	625
0	8437	593
0	10	32
0	16	32
1	49	32
2	226	32
3	1582	32
0	8928	32

Stop Event

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

Compiler

Compiled 573 to 113 computations (80.3% saved)

preprocess75.0ms (0.8%)

Memory

-40.8MiB live, 150.0MiB allocated; 28ms collecting garbage

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 936 to 920 computations (52.5% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze318.0ms (3.3%)

sample1.9s (19.5%)

explain159.0ms (1.7%)

preprocess64.0ms (0.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0%)

localize33.0ms (0.3%)

series8.0ms (0.1%)

simplify148.0ms (1.5%)

rewrite182.0ms (1.9%)

eval47.0ms (0.5%)

prune27.0ms (0.3%)

simplify196.0ms (2%)

localize114.0ms (1.2%)

series22.0ms (0.2%)

simplify215.0ms (2.2%)

rewrite183.0ms (1.9%)

eval123.0ms (1.3%)

prune48.0ms (0.5%)

simplify205.0ms (2.1%)

localize173.0ms (1.8%)

series19.0ms (0.2%)

simplify262.0ms (2.7%)

rewrite393.0ms (4.1%)

eval127.0ms (1.3%)

prune91.0ms (1%)

simplify618.0ms (6.4%)

localize287.0ms (3%)

series25.0ms (0.3%)

simplify258.0ms (2.7%)

rewrite335.0ms (3.5%)

eval77.0ms (0.8%)

prune60.0ms (0.6%)

regimes182.0ms (1.9%)

regimes130.0ms (1.4%)

regimes144.0ms (1.5%)

regimes58.0ms (0.6%)

regimes56.0ms (0.6%)

regimes156.0ms (1.6%)

regimes112.0ms (1.2%)

regimes83.0ms (0.9%)

regimes84.0ms (0.9%)

regimes4.0ms (0%)

regimes32.0ms (0.3%)

regimes29.0ms (0.3%)

regimes33.0ms (0.3%)

regimes44.0ms (0.5%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify64.0ms (0.7%)

derivations1.6s (16.8%)

preprocess75.0ms (0.8%)

end0.0ms (0%)

Profiling