Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

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

analyze311.0ms (3.3%)

Memory

28.4MiB live, 498.5MiB allocated; 68ms 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)

sample2.2s (22.9%)

Memory

-42.7MiB live, 2 310.4MiB allocated; 1.1s collecting garbage

Samples

1.7s	8 256×	0	valid
0.0ms	1×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

const: 470.0ms (33.9% of total)

ival-cos: 396.0ms (28.6% of total)

ival-<=: 136.0ms (9.8% of total)

ival-mult: 112.0ms (8.1% of total)

ival-sqrt: 74.0ms (5.3% of total)

ival-div: 71.0ms (5.1% of total)

ival-sub: 49.0ms (3.5% of total)

ival-and: 37.0ms (2.7% of total)

ival->: 27.0ms (2% of total)

exact: 6.0ms (0.4% of total)

adjust: 3.0ms (0.2% of total)

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

Bogosity

explain150.0ms (1.6%)

Memory

-21.2MiB live, 72.2MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
1	1	(0.9999851584434509 0.16069665551185608 0.25175678730010986)	1	(0.9999363422393799 7.630230669519733e-9 0.2545810043811798)	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	0	-	0	-	`u2`
0	0	-	0	-	`#s(literal 1 binary32)`
0	0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	0	-	0	-	`u1`
0	0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	sensitivity	1	5

Confusion

	Predicted +	Predicted -
+	0	2
-	1	253

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	2	0
-	1	3	250

Precision?

0.3333333333333333

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

84.0ms

512×

valid

Compiler

Compiled 87 to 37 computations (57.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-div: 41.0ms (60% of total)

const: 7.0ms (10.3% of total)

ival-mult: 6.0ms (8.8% of total)

ival-cos: 6.0ms (8.8% of total)

ival-sub: 3.0ms (4.4% of total)

ival-sqrt: 3.0ms (4.4% 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)

preprocess56.0ms (0.6%)

Memory

34.4MiB live, 34.4MiB allocated; 0ms 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)

simplify18.0ms (0.2%)

Memory

-41.4MiB live, 3.7MiB allocated; 5ms 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

localize34.0ms (0.4%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.1953125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.26953125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

23.0ms

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 (26.4% of total)

ival-mult: 3.0ms (19.8% of total)

ival-cos: 3.0ms (19.8% of total)

ival-div: 2.0ms (13.2% of total)

ival-sqrt: 2.0ms (13.2% of total)

ival-sub: 1.0ms (6.6% 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

5.8MiB live, 5.8MiB 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	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	@	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)))

simplify207.0ms (2.2%)

Memory

-40.0MiB live, 111.5MiB allocated; 32ms 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))

rewrite203.0ms (2.1%)

Memory

-0.1MiB live, 145.9MiB allocated; 24ms 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))
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(/.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)))

eval75.0ms (0.8%)

Memory: 15.0MiB live, 59.2MiB allocated; 6ms collecting garbage
Compiler: Compiled 13 070 to 2 044 computations (84.4% saved)

prune57.0ms (0.6%)

Memory

-10.4MiB live, 36.8MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	421	22	443
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	421	23	444

Accuracy

99.9%

Counts

444 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	97.9%	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.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))))
	98.2%	(.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 (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)))))))
	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))))
	98.5%	(*.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)))))
▶	99.1%	(*.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)))
	89.9%	(.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))))
	87.1%	(.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))))
	72.5%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.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)))
▶	98.6%	(.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)))
	91.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.6%	(.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)))
▶	85.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.1%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	74.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	#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)))))
▶	78.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 851 to 679 computations (20.2% saved)

simplify184.0ms (1.9%)

Memory

20.5MiB live, 68.5MiB allocated; 13ms 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	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff	0	(/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
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	41	249
0	69	243
1	113	243
2	218	239
3	466	224
4	1768	224
5	6250	224
0	8879	222

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

localize238.0ms (2.5%)

Memory

-9.0MiB live, 125.3MiB allocated; 13ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.1953125	(.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	0.26953125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3359375	(.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (fma.f32 #s(literal -1 binary32) u1 #s(literal -1 binary32)))
accuracy	0.16796875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy	0.26953125	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.356132519536884	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.1953125	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.26953125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.695993595142985	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	0.0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.14453125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.15234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	6.878365519913577	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.14453125	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.15234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1953125	(*.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	0.35546875	(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

201.0ms

256×

valid

Compiler

Compiled 237 to 36 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 23.0ms (35.6% of total)

ival-sin: 8.0ms (12.4% of total)

ival-div: 7.0ms (10.8% of total)

ival-sqrt: 7.0ms (10.8% of total)

const: 7.0ms (10.8% of total)

ival-add: 5.0ms (7.7% of total)

ival-cos: 5.0ms (7.7% of total)

ival-pi: 1.0ms (1.5% of total)

ival-sub: 1.0ms (1.5% 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)

series53.0ms (0.6%)

Memory

8.2MiB live, 64.2MiB allocated; 14ms collecting garbage

Counts

23 → 127

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

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))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (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)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(* (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)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(+ (* 1/2 (/ (* (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))))
(+ (* 1/2 (/ (* (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))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (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 (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 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)
(* -314159265359/50000000000 u2)
(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))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 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
31.0ms	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) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 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)) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
5.0ms	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) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 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)) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
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) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 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)) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
3.0ms	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) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 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)) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))
3.0ms	u1	@	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) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (/ 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)) (* -314159265359/50000000000 u2) (sqrt (- 1 u1)))

simplify184.0ms (1.9%)

Memory

-23.8MiB live, 187.9MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	521	2966
1	1830	2666
2	7953	2666
0	8015	2491

Stop Event

1×	iter limit
1×	node limit

Counts

127 → 126

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))
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* -314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))))
(cos (* -314159265359/50000000000 u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
-1
(- (pow u1 2) 1)
(- (* -1 u1) 1)
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (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)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (cos (* -314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (cos (* -314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))))
(* (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)))))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(+ (* 1/2 (/ (* (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))))
(+ (* 1/2 (/ (* (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))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (cos (* -314159265359/50000000000 u2)) (sqrt -1)))))
(* -1 (* (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 (/ 1 (- 1 u1)))
(+ (sqrt (/ 1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))))))
(+ (sqrt (/ 1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))))))))
(+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))
(+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))
(+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))
(sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 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)
(* -314159265359/50000000000 u2)
(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))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sqrt (/ (* u1 (- (* -1 u1) 1)) (- (pow u1 2) 1))) (cos (* 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) 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 (.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 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 (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 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32))) (.f32 u1 u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 u1 u1) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* (sqrt u1) (cos (* -314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* -314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))))
(.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 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* -314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u1) (fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (sqrt.f32 u1) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))) (.f32 u1 u1) (.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
(cos (* -314159265359/50000000000 u2))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(+ (cos (* -314159265359/50000000000 u2)) (* 1/2 (* u1 (cos (* -314159265359/50000000000 u2)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 1/2 (cos (* -314159265359/50000000000 u2))))))
(fma.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32))) u1 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (cos (* -314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (cos (* -314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (cos (* -314159265359/50000000000 u2)))) (* 3/8 (cos (* -314159265359/50000000000 u2))))))))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (.f32 (.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32))) (*.f32 u1 u1)))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
(- (* -1 u1) 1)
(-.f32 (neg.f32 u1) #s(literal 1 binary32))
(+ 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))
(* (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))))
(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))) (fma.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))) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)))))
(+ (* -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 (/.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))) (fma.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))) (fma.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.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))) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -3/8 binary32) (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))))))
(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 (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (pow.f32 u1 #s(literal 3 binary32)))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(* -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 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(* (cos (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* 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))))
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rewrite156.0ms (1.6%)

Memory

4.1MiB live, 280.4MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	180
0	69	173
1	212	170
2	1271	166
0	9254	163

Stop Event

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

Counts

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

Outputs
(/.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 2 binary32)) (.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))))) #s(literal 2 binary32))
(/.f32 (+.f32 (+.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (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 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))) (neg.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))))
(/.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (-.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 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (+.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))
(/.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) #s(literal 2 binary32)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (/.f32 (pow.f32 (.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))))
(-.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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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)))))
(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 (neg.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) #s(literal 1 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 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (neg.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 #s(literal 0 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.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 #s(literal 314159265359/50000000000 binary32) u2 (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 #s(literal 314159265359/50000000000 binary32) u2 (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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) #s(literal 1 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)))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(.f32 (/.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))
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(fma.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 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 (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 (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 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)))
(+.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 0 binary32)) (*.f32 (neg.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) #s(literal 1 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)))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.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 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(/.f32 (neg.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32))))) (neg.f32 (hypot.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1))))
(/.f32 (neg.f32 (sin.f32 (acos.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 3 binary32))))) (sqrt.f32 (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (sqrt.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1 binary32))) (hypot.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))
(/.f32 (sin.f32 (acos.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sin.f32 (acos.f32 (pow.f32 u1 #s(literal 3/2 binary32)))) (hypot.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))
(/.f32 (sinh.f32 (acosh.f32 u1)) (sqrt.f32 (-.f32 u1 #s(literal 1 binary32))))
(pow.f32 (exp.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/2 binary32))
(pow.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1/4 binary32))
(+.f32 (cosh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (*.f32 (log1p.f32 u1) #s(literal 1/2 binary32)))

eval76.0ms (0.8%)

Memory: 27.2MiB live, 175.4MiB allocated; 12ms collecting garbage
Compiler: Compiled 22 678 to 2 966 computations (86.9% saved)

prune122.0ms (1.3%)

Memory

-42.7MiB live, 103.0MiB allocated; 13ms collecting garbage

Pruning

50 alts after pruning (45 fresh and 5 done)

	Pruned	Kept	Total
New	746	37	783
Fresh	9	8	17
Picked	1	4	5
Done	0	1	1
Total	756	50	806

Accuracy

100.0%

Counts

806 → 50

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.3%	(/.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	85.1%	(.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.7%	(.f32 (pow.f32 (.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	98.9%	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	97.7%	(.f32 (.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)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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))))))))
	98.7%	(.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))))
	98.5%	(*.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)))))
✓	99.1%	(*.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)))))
	98.8%	(.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)))
	89.9%	(.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))))
	87.1%	(.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	91.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.6%	(.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)))
	86.0%	(*.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)))))
✓	85.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.6%	(.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)))
✓	98.1%	(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	91.7%	(.f32 (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 (-.f32 #s(literal 1 binary32) u1))))
	89.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	86.5%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	91.8%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
	89.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	86.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	85.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.9%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
▶	74.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	74.7%	(*.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)))))
	74.5%	#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)))
	92.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	87.1%	#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)))))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	58.3%	#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)))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)))))))
✓	78.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	60.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	59.8%	#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))))
	78.1%	#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))))))
	73.1%	#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))))
	72.0%	#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))))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
▶	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	86.9%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
	78.2%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))

Compiler

Compiled 2 351 to 1 708 computations (27.4% saved)

simplify10.0ms (0.1%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
cost-diff	0	#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
cost-diff	0	#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
cost-diff	0	(sqrt.f32 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))) (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	236
0	59	230
1	89	230
2	144	230
3	225	230
4	288	230
5	295	230
0	295	230

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (1.2%)

Memory

20.1MiB live, 158.7MiB allocated; 13ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy	0.24609375	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.26953125	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.17592891294222693	(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
accuracy	0.26953125	(*.f32 #s(literal -314159265359/50000000000 binary32) u2)
accuracy	0.356132519536884	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
accuracy	7.866602383987485	#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
accuracy	0.1640625	(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.16796875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.356132519536884	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	4.053075274516194	#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy	0.0	(sqrt.f32 u1)
accuracy	6.878365519913577	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.075284615315443	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.16796875	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1953125	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.2421875	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.35546875	(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

96.0ms

256×

valid

Compiler

Compiled 198 to 33 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 18.0ms (23.6% of total)

ival-div: 12.0ms (15.7% of total)

const: 12.0ms (15.7% of total)

ival-sin: 11.0ms (14.4% of total)

ival-cos: 9.0ms (11.8% of total)

ival-sqrt: 8.0ms (10.5% of total)

ival-add: 3.0ms (3.9% of total)

ival-sub: 2.0ms (2.6% of total)

ival-pi: 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)

series23.0ms (0.2%)

Memory

-28.3MiB live, 25.6MiB allocated; 24ms collecting garbage

Counts

17 → 103

Calls

Call 1

Inputs
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 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))
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(*.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))))
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(* (sqrt u1) (cos (* 314159265359/50000000000 u2)))
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1
(+ 1 (* -1/2 u1))
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(* (sin (+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))) (sqrt -1))
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(sqrt -1)
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(* -1 (* (sqrt u1) (* (cos (* -314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (sqrt -1)))
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(* -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)))
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(+ (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))))
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(sqrt (/ u1 (- 1 u1)))
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(sqrt (/ 1 (- 1 u1)))
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(+ 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) (* -98696044010906577398881/5000000000000000000000 (* (sqrt u1) (pow u2 2))))
(+ (sqrt u1) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt u1)) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))))))
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(* 1/2 (PI))
(+ (* -314159265359/50000000000 u2) (* 1/2 (PI)))
(* -314159265359/50000000000 u2)
(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))) (cos (* -314159265359/50000000000 u2)))
(* (cos (* -314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* u2 (- (* 1/2 (/ (PI) u2)) 314159265359/50000000000))
(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
12.0ms	u2	@	0	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (* -314159265359/50000000000 u2))
2.0ms	u1	@	-inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (* -314159265359/50000000000 u2))
2.0ms	u2	@	inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (* -314159265359/50000000000 u2))
2.0ms	u2	@	-inf	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (* -314159265359/50000000000 u2))
2.0ms	u1	@	0	((sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (sqrt (- 1 u1))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt u1) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (/ (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (sqrt (- 1 u1))) (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (* -314159265359/50000000000 u2))

simplify188.0ms (2%)

Memory

29.2MiB live, 214.4MiB allocated; 28ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	480	2628
1	1700	2335
2	7470	2314
0	8210	2153

Stop Event

1×	iter limit
1×	node limit

Counts

103 → 103

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

rewrite231.0ms (2.4%)

Memory

-12.0MiB live, 225.1MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	174
0	59	165
1	165	165
2	862	164
0	8267	164

Stop Event

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

Counts

17 → 463

Calls

Call 1

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

Outputs
(.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32))) #s(literal 1 binary32)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))
(/.f32 (.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)))) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))
(/.f32 (.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (cos.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 2 binary32)) #s(literal 0 binary32)))
(/.f32 (-.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32)) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (+.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)) (.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))))))
(/.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)))) (fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))) #s(literal 2 binary32))
(/.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 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 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 3 binary32)) #s(literal 0 binary32))) (neg.f32 (+.f32 (pow.f32 (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)) #s(literal 0 binary32))))
(/.f32 (neg.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 (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) (fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))) #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 #s(literal 0 binary32) (pow.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32))) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))
(/.f32 (+.f32 (pow.f32 (cos.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 2 binary32)) (-.f32 #s(literal 0 binary32) (.f32 #s(literal 0 binary32) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)))))))
(/.f32 (+.f32 (pow.f32 (cos.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 2 binary32)) #s(literal 0 binary32)))
(/.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 (/.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (/.f32 (pow.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 2 binary32)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.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)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) #s(literal 2 binary32)))
(-.f32 (.f32 (sin.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32)))))) (.f32 (cos.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32)))))))
(-.f32 #s(literal 0 binary32) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))))
(-.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))
(fma.f32 (sin.f32 (/.f32 (pow.f32 (.f32 u2 #s(literal -314159265359/50000000000 binary32)) #s(literal 3 binary32)) (fma.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2 (.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 (/.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal 8 binary32)) (fma.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2 (.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))) (/.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 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2 (.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))) (/.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 #s(literal 98696044010906577398881/2500000000000000000000 binary32) u2) u2 (*.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (PI.f32) #s(literal 2 binary32))))))))
(fma.f32 (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 1 binary32) #s(literal 0 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32))) #s(literal 0 binary32))
(sin.f32 (neg.f32 (+.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32))))
(sin.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal -2 binary32))) (PI.f32)))
(sin.f32 (+.f32 (+.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)) (PI.f32)))
(sin.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
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eval57.0ms (0.6%)

Memory: -13.3MiB live, 129.7MiB allocated; 21ms collecting garbage
Compiler: Compiled 15 461 to 1 780 computations (88.5% saved)

prune46.0ms (0.5%)

Memory

23.8MiB live, 117.3MiB allocated; 4ms collecting garbage

Pruning

55 alts after pruning (47 fresh and 8 done)

	Pruned	Kept	Total
New	543	19	562
Fresh	12	28	40
Picked	1	4	5
Done	1	4	5
Total	557	55	612

Accuracy

100.0%

Counts

612 → 55

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.3%	(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	86.8%	(/.f32 (.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	92.0%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	86.8%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	74.2%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	86.5%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	98.8%	(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.3%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (sin.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32)))))) (.f32 (cos.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32))))))))
	98.3%	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (+.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))))
	98.6%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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)))))
	97.8%	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))))
	87.7%	(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
▶	98.5%	(*.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)))))
✓	99.1%	(*.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)))))
	98.8%	(.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)))
	89.9%	(.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))))
	87.1%	(.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	91.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.6%	(.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)))
	86.0%	(*.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)))))
✓	85.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.6%	(.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)))
	91.7%	(.f32 (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 (-.f32 #s(literal 1 binary32) u1))))
	89.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	86.5%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
▶	77.3%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
	66.5%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32))))
▶	91.8%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
	89.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	86.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	85.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.9%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
✓	74.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	98.5%	(*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	74.7%	(*.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	74.5%	#s(approx (* (/ (sqrt u1) (sqrt (- 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)))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	58.3%	#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)))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)))))))
✓	78.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	60.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	59.8%	#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))))
	78.1%	#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))))))
	73.1%	#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))))
	72.0%	#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))))
▶	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
✓	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	78.2%	#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))

Compiler

Compiled 2 372 to 1 842 computations (22.3% saved)

simplify115.0ms (1.2%)

Memory

20.9MiB live, 165.3MiB allocated; 24ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
cost-diff	3	(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
cost-diff	4	(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
cost-diff	7	(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))
cost-diff	0	#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
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	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
cost-diff	0	(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (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))))
cost-diff	8	(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	496
0	103	463
1	182	463
2	477	434
3	1833	426
4	6413	426
0	8385	423

Stop Event

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

Calls

Call 1

Inputs
(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
(sqrt.f32 u1)
u1
(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(cosh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
#s(literal 1/2 binary32)
(sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 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 #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
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(sqrt.f32 u1)
u1
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 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)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
#s(literal -1/2 binary32)
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(sqrt.f32 u1)
u1
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2))))
(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.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)))))
(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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)

Outputs
(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (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))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) (neg.f32 u1)))))
(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 #s(literal 1 binary32) (neg.f32 u1))))
(sqrt.f32 u1)
u1
(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(sqrt.f32 (+.f32 #s(literal 1 binary32) (neg.f32 u1)))
(cosh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(cosh.f32 (*.f32 #s(literal -1/2 binary32) (log1p.f32 (neg.f32 u1))))
(*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1)))
(log1p.f32 (neg.f32 u1))
(neg.f32 u1)
#s(literal 1/2 binary32)
(sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))
(sinh.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1))))
(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 #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
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(sqrt.f32 u1)
u1
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 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)))
#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
(fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))
#s(literal -1/2 binary32)
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(.f32 #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 u1))
(sqrt.f32 u1)
u1
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2))))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))
(.f32 (fma.f32 (pow.f32 u2 #s(literal 4 binary32)) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
(*.f32 u2 u2)
u2
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
#s(literal 1 binary32)
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
(.f32 (pow.f32 u2 #s(literal 4 binary32)) (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))
(.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
(.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))
#s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
(*.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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 u2 #s(literal -314159265359/50000000000 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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(cos.f32 (*.f32 u2 #s(literal -314159265359/50000000000 binary32)))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
(fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
u2
#s(literal 314159265359/50000000000 binary32)
(/.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)

localize238.0ms (2.5%)

Memory

-22.5MiB live, 396.6MiB allocated; 53ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1953125	(*.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)))))
accuracy	0.23731759953886444	(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
accuracy	0.32421875	(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))
accuracy	0.328125	(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
accuracy	0.356132519536884	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
accuracy	0.45541000976844204	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))
accuracy	2.2760704232243874	#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2))))
accuracy	0.1640625	(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
accuracy	0.356132519536884	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
accuracy	3.8678154602585355	#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
accuracy	4.053075274516194	#s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)))
accuracy	0.0	(fma.f32 u1 u1 u1)
accuracy	0.14453125	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy	4.695993595142985	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	6.878365519913577	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy	0.16796875	(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
accuracy	0.1953125	(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy	0.2421875	(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
accuracy	0.35546875	(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))

Samples

137.0ms

256×

valid

Compiler

Compiled 407 to 58 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 26.0ms (22.6% of total)

ival-sin: 23.0ms (20% of total)

const: 16.0ms (13.9% of total)

ival-div: 10.0ms (8.7% of total)

ival-add: 9.0ms (7.8% of total)

ival-sqrt: 7.0ms (6.1% of total)

ival-cosh: 6.0ms (5.2% of total)

ival-cos: 6.0ms (5.2% of total)

ival-log1p: 5.0ms (4.3% of total)

ival-sinh: 2.0ms (1.7% of total)

ival-sub: 1.0ms (0.9% of total)

ival-pi: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

adjust: 0.0ms (0% of total)

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

series129.0ms (1.3%)

Memory

35.1MiB live, 253.8MiB allocated; 30ms collecting garbage

Counts

24 → 198

Calls

Call 1

Inputs
(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(sqrt.f32 u1)
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 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)))
(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))
(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.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)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))

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

Calls

9 calls:

Time	Variable		Point	Expression
43.0ms	u2	@	inf	((+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
27.0ms	u1	@	-inf	((+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
23.0ms	u1	@	inf	((+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
14.0ms	u2	@	-inf	((+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))
5.0ms	u1	@	0	((+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2))) (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sin (+ (* -314159265359/50000000000 u2) (/ (PI) 2)))) (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* u1 u1) u1) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos (* -314159265359/50000000000 u2)) (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2)) (* (sqrt u1) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1)))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2))) (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (sqrt (/ u1 (- 1 u1))) (/ u1 (- 1 u1)) (+ (* -314159265359/50000000000 u2) (/ (PI) 2)) (sqrt (- 1 u1)) (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (+ (* u2 314159265359/50000000000) (/ (PI) 2)))

simplify462.0ms (4.8%)

Memory

30.6MiB live, 575.9MiB allocated; 213ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1082	13159
1	4130	10794
0	8431	10211

Stop Event

1×	iter limit
1×	node limit

Counts

198 → 197

Calls

Call 1

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

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

rewrite422.0ms (4.4%)

Memory

-30.0MiB live, 409.7MiB allocated; 169ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	60	382
0	103	349
1	347	325
2	2346	319
0	8456	319

Stop Event

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

Counts

24 → 418

Calls

Call 1

Inputs
(+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))
(sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32))))
(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (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)
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(sqrt.f32 u1)
(/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 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)))
(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))
(.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(sin.f32 (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))))
(*.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)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))
#s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))
#s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))
(fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))

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

eval77.0ms (0.8%)

Memory: 45.4MiB live, 230.6MiB allocated; 18ms collecting garbage
Compiler: Compiled 30 598 to 2 743 computations (91% saved)

prune69.0ms (0.7%)

Memory

-11.4MiB live, 175.8MiB allocated; 16ms collecting garbage

Pruning

64 alts after pruning (52 fresh and 12 done)

	Pruned	Kept	Total
New	571	18	589
Fresh	8	34	42
Picked	1	4	5
Done	0	8	8
Total	580	64	644

Accuracy

100.0%

Counts

644 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.3%	(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	86.8%	(/.f32 (.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	77.5%	(/.f32 (.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
	92.0%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	86.8%	(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.2%	(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	91.3%	(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
	77.3%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
	91.8%	(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
✓	98.8%	(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	98.3%	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (+.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))))
	98.6%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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)))))
	97.8%	(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))))
	87.7%	(.f32 (/.f32 (sqrt.f32 u1) #s(approx (+ (cosh ( (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
✓	98.5%	(*.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)))))
✓	99.1%	(*.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)))))
	98.8%	(.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)))
	89.9%	(.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))))
	87.1%	(.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 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.9%	(*.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	91.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.6%	(.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)))
	86.0%	(*.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)))))
✓	85.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (fma.f32 u1 u1 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.6%	(.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)))
	81.8%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
	91.7%	(.f32 (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 (-.f32 #s(literal 1 binary32) u1))))
	89.4%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	79.6%	(.f32 (sqrt.f32 u1) (/.f32 #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 (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
✓	86.5%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	77.3%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
	66.5%	(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32))))
	91.8%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)))))
	91.6%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)))) (*.f32 u2 u2)))))
	91.2%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2))) (.f32 u2 u2)))))
	89.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	86.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
	85.7%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
	77.9%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
✓	74.5%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
	59.1%	(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))))) (pow.f32 u2 #s(literal 6 binary32))))))
	98.5%	(*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	74.7%	(.f32 #s(approx (/ (sqrt u1) (+ (cosh ( (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
	74.5%	#s(approx (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (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)))
	74.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	58.3%	#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)))))
	59.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)))))))
✓	78.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	60.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
	59.8%	#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))))
	78.1%	#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))))))
	73.1%	#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))))
	72.0%	#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))))
✓	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
	18.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
✓	61.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 4 280 to 1 735 computations (59.5% saved)

regimes246.0ms (2.6%)

Memory

32.1MiB live, 349.6MiB allocated; 70ms collecting garbage

Counts

97 → 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 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))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.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 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(/.f32 (.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #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 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 u1) (/.f32 #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 (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (-.f32 u1 #s(literal 1 binary32)))))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.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 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (-.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)) #s(literal 98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(.f32 (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 (-.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 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2))) (.f32 u2 u2)))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (*.f32 u2 u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ u1 (+ -1 (* u1 u1))) (+ (* -1 u1) -1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32))))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (.f32 u2 u2) (sqrt.f32 (.f32 (-.f32 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2)))) (*.f32 u2 u2)))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#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 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) u2) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 u2)))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 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 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (+ (* u2 314159265359/50000000000) (/ (PI) 2)))) (.f32 (sin.f32 (fma.f32 (PI.f32) #s(literal 1/2 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 u1)))
#s(approx (* (/ (sqrt u1) (sqrt (- 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)))
#s(approx (* (/ (sqrt u1) (+ (cosh (* (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u1)) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (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 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 #s(approx (/ (sqrt u1) (+ (cosh ( (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2)))) (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 (fma.f32 u1 u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.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 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))))
(.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 u2 #s(literal 314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 #s(approx (cos (* -314159265359/50000000000 u2)) (fma.f32 (*.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (*.f32 (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32))) (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (+.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) u2 (PI.f32)) (PI.f32))))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (sqrt.f32 u1) #s(approx (+ (cosh ( (log (+ 1 (neg u1))) 1/2)) (sinh (* (log (+ 1 (neg u1))) 1/2))) (fma.f32 #s(literal -1/2 binary32) u1 #s(literal 1 binary32)))) (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 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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)))
(.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)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.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)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (neg.f32 (+.f32 (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal 2 binary32))) (PI.f32)))))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(.f32 (pow.f32 (.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (/.f32 (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (pow.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 u1 u1 (pow.f32 u1 #s(literal 4 binary32))) (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))) (-.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))))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (*.f32 u2 u2)))))
(.f32 (pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32)) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (cos.f32 (*.f32 #s(literal -314159265359/50000000000 binary32) u2))))
(.f32 (pow.f32 (pow.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 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) #s(approx (/ (cos ( -314159265359/50000000000 u2)) (sqrt (- 1 u1))) #s(approx (+ (* (+ (* (* u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt (/ 1 (- 1 u1)))) (* (* (* (sqrt (/ 1 (- 1 u1))) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* u2 u2)) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (* u2 u2)) (* u2 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 4 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) (/.f32 #s(literal 1 binary32) (pow.f32 u2 #s(literal 6 binary32)))))) (pow.f32 u2 #s(literal 6 binary32))))))
(.f32 (.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)))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (sqrt.f32 u1) (+.f32 (cosh.f32 (.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))) (sinh.f32 (*.f32 (log1p.f32 (neg.f32 u1)) #s(literal 1/2 binary32))))) (sin.f32 (fma.f32 #s(literal -314159265359/50000000000 binary32) u2 (/.f32 (PI.f32) #s(literal 2 binary32)))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (-.f32 (.f32 (sin.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32)))))) (.f32 (cos.f32 (/.f32 (.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 u2)) (fma.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)) (fma.f32 u2 #s(literal -314159265359/50000000000 binary32) (/.f32 (PI.f32) #s(literal -2 binary32))))))))
(.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))))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.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)))))))

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)))))

Calls

8 calls:

46.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
32.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
31.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
28.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms	u1

Results

Accuracy	Segments	Branch
99.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
99.1%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.1%	1	`cosTheta_i`
99.1%	1	`u1`
99.1%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes167.0ms (1.7%)

Memory

10.1MiB live, 289.0MiB allocated; 55ms collecting garbage

Counts

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

Outputs

(*.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)))))

Calls

8 calls:

35.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms	u2
19.0ms	u1
19.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
98.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.8%	1	`cosTheta_i`
98.8%	1	`u1`
98.8%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes145.0ms (1.5%)

Memory

4.8MiB live, 281.7MiB allocated; 39ms collecting garbage

Counts

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

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

Calls

8 calls:

28.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms	u1
17.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
17.0ms	u2
16.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

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)

regimes141.0ms (1.5%)

Memory

-16.8MiB live, 316.5MiB allocated; 47ms collecting garbage

Counts

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

Outputs

#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 (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)))

Calls

8 calls:

34.0ms	u1
18.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	u2
15.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
97.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.7%	2	`u2`
97.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
97.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.6%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.0%	1	`cosTheta_i`
97.2%	2	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes55.0ms (0.6%)

Memory

21.1MiB live, 118.4MiB allocated; 8ms collecting garbage

Counts

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

Outputs

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

Calls

4 calls:

15.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms	(*.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)))
12.0ms	u2

Results

Accuracy	Segments	Branch
97.0%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
97.2%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.3%	2	`u2`

Compiler

Compiled 19 to 25 computations (-31.6% saved)

regimes26.0ms (0.3%)

Memory

11.8MiB live, 58.4MiB allocated; 1ms collecting garbage

Counts

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

Outputs

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

Calls

2 calls:

12.0ms	u2
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.3%	2	`u2`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes87.0ms (0.9%)

Memory

-22.8MiB live, 167.2MiB allocated; 8ms collecting garbage

Counts

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

Outputs

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

#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)))

Calls

7 calls:

14.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
13.0ms	u1
12.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
12.0ms	u2
11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
95.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
96.1%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
92.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.0%	1	`u1`
96.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
96.2%	2	`u2`

Compiler

Compiled 31 to 41 computations (-32.3% saved)

regimes24.0ms (0.2%)

Memory

-9.8MiB live, 35.6MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

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

Calls

2 calls:

11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	u2

Results

Accuracy	Segments	Branch
96.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
96.2%	2	`u2`

Compiler

Compiled 4 to 8 computations (-100% saved)

regimes58.0ms (0.6%)

Memory

-11.6MiB live, 96.2MiB allocated; 10ms collecting garbage

Counts

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

Outputs

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

Calls

5 calls:

16.0ms	cosTheta_i
11.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	u2

Results

Accuracy	Segments	Branch
92.0%	1	`cosTheta_i`
92.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
92.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
92.0%	1	`u2`

Compiler

Compiled 20 to 28 computations (-40% saved)

regimes74.0ms (0.8%)

Memory

21.4MiB live, 114.0MiB allocated; 4ms collecting garbage

Counts

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

Outputs

(*.f32 (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 (-.f32 #s(literal 1 binary32) u1))))

Calls

8 calls:

10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms	u2
9.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
9.0ms	u1

Results

Accuracy	Segments	Branch
91.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
91.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
91.7%	1	`u1`
91.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
91.7%	1	`cosTheta_i`
91.7%	1	`u2`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes65.0ms (0.7%)

Memory

5.2MiB live, 100.8MiB allocated; 6ms collecting garbage

Counts

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

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:

10.0ms	u2
9.0ms	cosTheta_i
8.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms	u1
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
89.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.9%	1	`u2`
89.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.9%	1	`cosTheta_i`
89.9%	1	`u1`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes49.0ms (0.5%)

Memory

-15.1MiB live, 77.9MiB allocated; 3ms collecting garbage

Counts

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

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

Results

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

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes38.0ms (0.4%)

Memory

23.0MiB live, 69.5MiB allocated; 2ms collecting garbage

Counts

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

Outputs

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

Calls

8 calls:

6.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u2
5.0ms	cosTheta_i
5.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	u1

Results

Accuracy	Segments	Branch
81.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.9%	2	`u1`
82.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
82.0%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
82.5%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
82.0%	2	`u2`
78.3%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes33.0ms (0.4%)

Memory

11.6MiB live, 60.7MiB allocated; 3ms collecting garbage

Counts

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

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

Calls

8 calls:

6.0ms	u2
4.0ms	cosTheta_i
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
78.3%	1	`cosTheta_i`
78.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
78.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
78.3%	1	`u1`
78.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
78.3%	1	`u2`
78.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
78.3%	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)

regimes21.0ms (0.2%)

Memory

-2.9MiB live, 44.0MiB allocated; 2ms collecting garbage

Counts

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

4.0ms	cosTheta_i
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	u2
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
72.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
72.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
72.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
72.0%	1	`u1`
72.0%	1	`u2`
72.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
72.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
72.0%	1	`cosTheta_i`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

regimes17.0ms (0.2%)

Memory

-8.0MiB live, 39.0MiB allocated; 1ms 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 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:

3.0ms	u1
2.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
2.0ms	u2
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
69.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
69.5%	1	`u2`
69.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
69.5%	1	`cosTheta_i`
69.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
69.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
69.5%	1	`u1`
69.5%	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)

regimes11.0ms (0.1%)

Memory

-18.0MiB live, 29.0MiB allocated; 1ms collecting garbage

Accuracy

Total -13.7b remaining (-111.4%)

Threshold costs -13.7b (-111.4%)

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))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))

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

Calls

8 calls:

2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
1.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
1.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
1.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
1.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
61.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
61.5%	1	`cosTheta_i`
61.5%	1	`u2`
61.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
61.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
61.5%	1	`u1`
61.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
61.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 32 to 44 computations (-37.5% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03840145096182823	0.0410580076277256

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03840145096182823	0.0410580076277256

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.03840145096182823	0.0410580076277256

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.1437048465013504	0.21202756464481354

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	0.1437048465013504	0.21202756464481354

Compiler

Compiled 14 to 17 computations (-21.4% saved)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0006541722686961293	0.0006808853941038251

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify21.0ms (0.2%)

Memory

-18.7MiB live, 29.6MiB allocated; 5ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	115	595
1	136	595
2	166	595
3	199	595
4	232	595

Stop Event

1×

saturated

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)))))
(.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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (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))))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 13421773/67108864 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #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))))
(if (<=.f32 u2 #s(literal 13421773/67108864 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (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 (-.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 (/.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 5669357/8589934592 binary32)) (.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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 (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 #s(approx (+ ( -314159265359/50000000000 u2) (/ (PI) 2)) (fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 #s(literal -314159265359/50000000000 binary32) u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (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))))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (sqrt.f32 u1) #s(approx (/ (cos (* -314159265359/50000000000 u2)) (sqrt (- 1 u1))) (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (cos.f32 (.f32 #s(literal -314159265359/50000000000 binary32) u2))))))
(if (<=.f32 u2 #s(literal 5368709/134217728 binary32)) #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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 u2 #s(literal 13421773/67108864 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #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))))
(if (<=.f32 u2 #s(literal 13421773/67108864 binary32)) (/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(approx (* (sqrt u1) (cos (* -314159265359/50000000000 u2))) (fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1)) u2) u2 (.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (sqrt.f32 u1))) (.f32 u2 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (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 (-.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 (/.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 5669357/8589934592 binary32)) (.f32 (sqrt.f32 u1) (/.f32 #s(approx (cos ( -314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32))) #s(approx (sqrt (- 1 u1)) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) 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)))

derivations1.6s (17.2%)

Memory

-1.1MiB live, 605.9MiB allocated; 1.1s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	803
1	663	713
2	2648	625
0	8437	593
0	521	2966
1	1830	2666
2	7953	2666
0	8015	2491
0	10	32
0	16	32
1	49	32
2	226	32
3	1582	32
0	8928	32
0	480	2628
1	1700	2335
2	7470	2314
0	8210	2153

Stop Event

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

Compiler

Compiled 599 to 120 computations (80% saved)

preprocess136.0ms (1.4%)

Memory

-14.2MiB live, 124.1MiB allocated; 5ms collecting garbage

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 332 to 374 computations (71.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze311.0ms (3.3%)

sample2.2s (22.9%)

explain150.0ms (1.6%)

preprocess56.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.2%)

localize34.0ms (0.4%)

series8.0ms (0.1%)

simplify207.0ms (2.2%)

rewrite203.0ms (2.1%)

eval75.0ms (0.8%)

prune57.0ms (0.6%)

simplify184.0ms (1.9%)

localize238.0ms (2.5%)

series53.0ms (0.6%)

simplify184.0ms (1.9%)

rewrite156.0ms (1.6%)

eval76.0ms (0.8%)

prune122.0ms (1.3%)

simplify10.0ms (0.1%)

localize117.0ms (1.2%)

series23.0ms (0.2%)

simplify188.0ms (2%)

rewrite231.0ms (2.4%)

eval57.0ms (0.6%)

prune46.0ms (0.5%)

simplify115.0ms (1.2%)

localize238.0ms (2.5%)

series129.0ms (1.3%)

simplify462.0ms (4.8%)

rewrite422.0ms (4.4%)

eval77.0ms (0.8%)

prune69.0ms (0.7%)

regimes246.0ms (2.6%)

regimes167.0ms (1.7%)

regimes145.0ms (1.5%)

regimes141.0ms (1.5%)

regimes55.0ms (0.6%)

regimes26.0ms (0.3%)

regimes87.0ms (0.9%)

regimes24.0ms (0.2%)

regimes58.0ms (0.6%)

regimes74.0ms (0.8%)

regimes65.0ms (0.7%)

regimes49.0ms (0.5%)

regimes38.0ms (0.4%)

regimes33.0ms (0.4%)

regimes21.0ms (0.2%)

regimes17.0ms (0.2%)

regimes11.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify21.0ms (0.2%)

derivations1.6s (17.2%)

preprocess136.0ms (1.4%)

end0.0ms (0%)

Profiling