Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze333.0ms (2.9%)

Memory

-22.6MiB live, 525.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample2.0s (17.7%)

Memory

-35.2MiB live, 3 134.2MiB allocated

Samples

1.6s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

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

const: 429.0ms (32.1% of total)

ival-<=: 392.0ms (29.4% of total)

ival-cos: 120.0ms (9% of total)

ival-mult: 106.0ms (7.9% of total)

ival-div: 93.0ms (7% of total)

ival-sub: 62.0ms (4.6% of total)

ival-sqrt: 62.0ms (4.6% of total)

ival-and: 35.0ms (2.6% of total)

ival->: 28.0ms (2.1% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain111.0ms (1%)

Memory

19.1MiB live, 175.4MiB allocated

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	-	`u2`
0	-	-	`#s(literal 1 binary32)`
0	-	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	-	`u1`
1	(0.9999023675918579 3.4466054785298184e-5 0.7509501576423645)	-	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	1	255

Precision

0.0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	1	1	254

Precision?

0.0

Recall?

0/0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

0.0

Recall?

0/0

Samples

49.0ms

512×

valid

Compiler

Compiled 90 to 37 computations (58.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

const: 7.0ms (22.1% of total)

ival-mult: 6.0ms (18.9% of total)

ival-cos: 6.0ms (18.9% of total)

ival-div: 4.0ms (12.6% of total)

ival-sub: 4.0ms (12.6% of total)

ival-sqrt: 3.0ms (9.5% of total)

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

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

exact: 0.0ms (0% of total)

preprocess36.0ms (0.3%)

Memory

-22.8MiB live, 25.8MiB allocated

Algorithm

1×	egg-herbie

Rules

138×	`sub-neg`
100×	`associate-l`
80×	`distribute-lft-in`
78×	`*-commutative`
74×	`distribute-lft-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Stop Event

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

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)))

Symmetry

(abs u2)

(abs cosTheta_i)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify6.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

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)))

Rules

36×	`lower-+.f64`
36×	`lower-+.f32`
26×	`sub-neg`
26×	`lower--.f64`
24×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	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)))
(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

localize34.0ms (0.3%)

Memory

4.5MiB live, 42.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.10303134224780512	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.15625	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

25.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 5.0ms (29.1% of total)

const: 4.0ms (23.2% of total)

ival-div: 3.0ms (17.4% of total)

ival-cos: 3.0ms (17.4% of total)

ival-sqrt: 2.0ms (11.6% of total)

ival-sub: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory

8.9MiB live, 8.9MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())

Outputs
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (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))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())

Calls

21 calls:

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

simplify347.0ms (3%)

Memory

-15.8MiB live, 399.6MiB allocated

Algorithm

1×	egg-herbie

Rules

19 904×	`lower-fma.f64`
19 904×	`lower-fma.f32`
6 784×	`lower-*.f64`
6 784×	`lower-*.f32`
3 886×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	978
1	554	887
2	1623	819
3	4916	767
0	8214	735

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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

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

rewrite227.0ms (2%)

Memory

-15.2MiB live, 262.6MiB allocated

Rules

3 704×	`lower-/.f64`
3 702×	`lower-/.f32`
3 286×	`lower-*.f64`
3 282×	`lower-*.f32`
2 456×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32

Stop Event

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

Counts

6 → 521

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
(pow.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (neg.f32 u1)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 u1) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 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 u1 #s(literal 1 binary32)))))
(.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(neg.f32 (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) #s(literal 1/4 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 u1)) #s(literal 1/2 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32) (*.f32 (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32))))
(exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) (.f32 (log1p.f32 u1) #s(literal 1/2 binary32))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/4 binary32))
(pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))) (/.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sqrt.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (/.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sqrt.f32 (.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 (neg.f32 u1)))) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 u1)))) (neg.f32 (neg.f32 (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))))
(sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 #s(literal 1 binary32) #s(literal -1/2 binary32)))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) u1) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal -1/2 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(.f32 (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal -1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1/2 binary32)))
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(/.f32 (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))))) (neg.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))
(/.f32 (neg.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.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)))))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (neg.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1))))
(/.f32 (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (neg.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (-.f32 (.f32 (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 u1 (*.f32 u1 u1)) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (pow.f32 (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.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 (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))))
(*.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(*.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 (*.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1 binary32))) (fma.f32 (fma.f32 u1 u1 u1) (-.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(.f32 (pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval70.0ms (0.6%)

Memory: -3.8MiB live, 148.5MiB allocated
Compiler: Compiled 16 331 to 2 495 computations (84.7% saved)

prune129.0ms (1.1%)

Memory

2.8MiB live, 288.3MiB allocated

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	577	27	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	577	28	605

Accuracy

99.8%

Counts

605 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	71.1%	(.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.8%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.3%	(.f32 (pow.f32 (.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.4%	(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) u1) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.0%	(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1)))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.0%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	93.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.7%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))) (neg.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.4%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 1 194 to 767 computations (35.8% saved)

simplify281.0ms (2.4%)

Memory

33.3MiB live, 465.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
cost-diff	160	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
cost-diff	192	(-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1)))
cost-diff	1312	(/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
cost-diff	0	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))
cost-diff	0	(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	224	(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))

Rules

19 992×	`lower-fma.f64`
19 988×	`lower-fma.f32`
3 226×	`lower-*.f64`
3 206×	`lower-*.f32`
2 234×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	403
0	77	314
1	131	296
2	295	288
3	1113	278
4	5441	278
0	8264	274

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (1.1%)

Memory

-33.7MiB live, 244.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.234375	(/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))
accuracy	0.26953125	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.36947250976844204	(/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))
accuracy	0.17578125	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
accuracy	0.26953125	(.f32 u1 (.f32 u1 u1))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.318610464058763	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
accuracy	0.1030313422478051	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.15625	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	4.831308321535572	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	0	(-.f32 #s(literal 1 binary32) u1)
accuracy	0.09765625	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	5.295082840108883	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.140625	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))
accuracy	0.15625	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.29296875	(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

64.0ms	248×	0	valid
3.0ms	8×	1	valid

Compiler

Compiled 363 to 38 computations (89.5% saved)

Precisions

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

ival-mult: 16.0ms (32.9% of total)

ival-sqrt: 8.0ms (16.4% of total)

ival-div: 7.0ms (14.4% of total)

ival-add: 6.0ms (12.3% of total)

const: 5.0ms (10.3% of total)

ival-cos: 3.0ms (6.2% of total)

ival-sub: 2.0ms (4.1% of total)

ival-neg: 1.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-2.3MiB live, 38.8MiB allocated

Counts

24 → 336

Calls

Call 1

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

Outputs
#s(alt u1 (taylor 0 u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 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))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt (/ u1 (- u1 1))) (sqrt -1)) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (* (pow u2 2) (sqrt -1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- u1 1))) (sqrt -1)))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- u1 1))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
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#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (patch (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) (patch (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())) ())
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Calls

84 calls:

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

simplify313.0ms (2.7%)

Memory

17.3MiB live, 443.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 870×	`lower-fma.f64`
11 870×	`lower-fma.f32`
5 588×	`lower-*.f64`
5 588×	`lower-*.f32`
3 202×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	309	4238
1	917	3845
2	2912	3527
3	6270	3514
0	8135	3329

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 331

Calls

Call 1

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

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

rewrite338.0ms (2.9%)

Memory

22.9MiB live, 582.9MiB allocated

Rules

4 820×	`lower-/.f64`
4 812×	`lower-/.f32`
4 440×	`lower-*.f64`
4 420×	`lower-*.f32`
3 272×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	261
0	73	259
1	235	224
2	1746	220
0	8544	215

Stop Event

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

Counts

24 → 1 287

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 (neg.f32 u1))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 u1 #s(literal -1 binary32)) (neg.f32 u1))) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1))) (+.f32 u1 #s(literal -1 binary32)))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 u1 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal -1 binary32) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(*.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) u1)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) u1)
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (.f32 (sqrt.f32 (neg.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 (neg.f32 u1)))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)))
(pow.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 u1 #s(literal -1 binary32)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))
(sqrt.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 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) 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))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32))
(pow.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(/.f32 (sqrt.f32 (neg.f32 (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (sqrt.f32 (*.f32 #s(literal -1 binary32) (neg.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (sqrt.f32 u1))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) #s(literal 1/2 binary32)) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (pow.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) #s(literal 1/2 binary32)) (pow.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))) (sqrt.f32 u1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(*.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32)))) (sqrt.f32 (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(neg.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 1 binary32)))
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(expm1.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(expm1.f32 (fma.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (log.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(exp.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)))
(exp.f32 (.f32 (.f32 #s(literal 2 binary32) (log.f32 u1)) #s(literal 3/2 binary32)))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32) (.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 u1)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32) (.f32 (*.f32 #s(literal 3 binary32) (log.f32 u1)) #s(literal 1/2 binary32))))
(pow.f32 u1 #s(literal 3 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 (sqrt.f32 u1)) #s(literal 2 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 6 binary32))
(pow.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1))) #s(literal 1/2 binary32))
(sqrt.f32 (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (*.f32 u1 u1))))
(.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))
(.f32 u1 (.f32 u1 u1))
(.f32 (.f32 u1 u1) u1)
(.f32 (.f32 u1 (*.f32 u1 u1)) #s(literal 1 binary32))
(.f32 (.f32 u1 (sqrt.f32 u1)) (*.f32 u1 (sqrt.f32 u1)))
(neg.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
(exp.f32 (.f32 (log.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))) #s(literal -1 binary32)))
(+.f32 (.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 u1 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(+.f32 (.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))))
(pow.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (/.f32 u1 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))))))
(/.f32 u1 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(/.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 u1)) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) u1)) (.f32 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))) (neg.f32 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 u1 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 #s(literal -1 binary32) (/.f32 u1 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))))
(.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) u1)
(.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(.f32 (/.f32 u1 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) u1) #s(literal -1 binary32)))
(.f32 (.f32 (/.f32 u1 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(.f32 (.f32 (/.f32 u1 (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 #s(literal -1 binary32)))
(.f32 (/.f32 u1 #s(literal 1 binary32)) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (*.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))
(.f32 (/.f32 u1 (neg.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))
(.f32 (/.f32 u1 (/.f32 (fma.f32 (.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) u1) u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) u1))

eval463.0ms (4%)

Memory: 24.8MiB live, 543.7MiB allocated
Compiler: Compiled 96 252 to 9 200 computations (90.4% saved)

prune554.0ms (4.8%)

Memory

19.9MiB live, 664.1MiB allocated

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	1 972	31	2 003
Fresh	13	9	22
Picked	3	2	5
Done	0	1	1
Total	1 988	43	2 031

Accuracy

99.8%

Counts

2 031 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
▶	98.8%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.0%	(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1)))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.5%	(.f32 (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (/.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 u1 (+.f32 #s(literal 1 binary32) u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	90.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	93.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	93.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	92.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	89.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( (+ u1 -1) (+ u1 1)) (* (+ -1 (* u1 u1)) (* u1 u1))) (* (+ -1 (* u1 u1)) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	80.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	78.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	92.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 u1 (.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	93.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	83.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal -1/2 binary32)))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	90.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	76.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	73.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	73.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))))
▶	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 1 788 to 1 071 computations (40.1% saved)

simplify46.0ms (0.4%)

Memory

-21.7MiB live, 30.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
cost-diff	0	(*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	64	(neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	768	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Rules

604×	`lower-*.f64`
590×	`lower-*.f32`
548×	`lower-fma.f64`
544×	`lower-fma.f32`
346×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	278
0	62	272
1	101	270
2	194	262
3	426	262
4	576	262
5	616	262
6	650	262
7	801	262
8	844	262
9	850	262
10	859	262
11	884	262
12	890	262
0	890	260

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

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

localize170.0ms (1.5%)

Memory

4.0MiB live, 264.8MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.140625	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))
accuracy	0.15625	(.f32 (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.3366012695368841	(*.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1))
accuracy	0.15625	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3671875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
accuracy	2.108190724604224	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	0.14453125	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15625	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.3366012695368841	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy	5.295082840108883	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
accuracy	0	(sqrt.f32 u1)
accuracy	5.295082840108883	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
accuracy	8.458643467323638	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.14453125	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.15625	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.265625	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

87.0ms

256×

valid

Compiler

Compiled 237 to 34 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

ival-mult: 14.0ms (22.4% of total)

const: 12.0ms (19.2% of total)

ival-cos: 11.0ms (17.6% of total)

ival-div: 7.0ms (11.2% of total)

ival-sqrt: 7.0ms (11.2% of total)

ival-neg: 6.0ms (9.6% of total)

ival-add: 3.0ms (4.8% of total)

ival-sub: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series32.0ms (0.3%)

Memory

23.4MiB live, 66.9MiB allocated

Counts

20 → 324

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (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))))))))) (taylor 0 u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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)))) (taylor inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))))) (taylor inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -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))) (taylor -inf u1) (#s(alt (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt (sqrt -1) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (patch (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (patch (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (patch (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) (patch (.f32 (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (sqrt.f32 u1)) #<representation binary32>) () ())) ())
#s(alt (pow (sqrt -1) 2) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 u1) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (- (* -1/2 (* u1 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) 1/2)) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* u1 (- (* u1 (+ (* -1/2 (* u1 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))))) (* -1/2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))))) 1/2)) (pow (sqrt -1) 2)) (taylor 0 u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 u1)) (sqrt -1)) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 7))) (* (sqrt -1) (- 1 (* 1/4 u1))))) (* (sqrt (/ 1 u1)) (sqrt -1))))) (taylor inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ 1 u1)) (sqrt -1)) (taylor -inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))) (taylor -inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) (taylor -inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))) (taylor -inf u1) (#s(alt (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (patch (sqrt.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 u1) 1) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* u1 (- (* -1 u1) 1)) 1) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (- (* u1 (- (* u1 (- (* -1 u1) 1)) 1)) 1) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 u1) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))) u1) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ 1 u1) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (/ 1 u1)) u1) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) u1)) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (patch (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #<representation binary32>) () ())) ())

Calls

81 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	inf	(* (* (sqrt (neg (/ 1 (+ u1 -1)))) (sqrt u1)) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	inf	(/ 1 (sqrt (- 1 u1)))
2.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))
1.0ms	u1	@	inf	(+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))
1.0ms	u1	@	0	(+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1))))

simplify422.0ms (3.7%)

Memory

-41.5MiB live, 451.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 002×	`lower-fma.f64`
14 002×	`lower-fma.f32`
6 762×	`lower-*.f64`
6 762×	`lower-*.f32`
4 088×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	546	6505
1	1693	5778
2	5885	5176
0	8032	4878

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 323

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

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

rewrite374.0ms (3.2%)

Memory

21.2MiB live, 435.7MiB allocated

Rules

6 954×	`lower-fma.f64`
6 950×	`lower-fma.f32`
4 184×	`lower-*.f64`
4 174×	`lower-*.f32`
3 370×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	216
0	62	198
1	181	196
2	1241	196
0	8744	196

Stop Event

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

Counts

20 → 949

Calls

Call 1

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

Outputs
(neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(neg.f32 (.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(neg.f32 (.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 u1) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 #s(literal 1 binary32) (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.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 (neg.f32 (sqrt.f32 u1)) #s(literal -1 binary32)) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(neg.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal -1 binary32))))
(exp.f32 (fma.f32 (log.f32 u1) #s(literal 1/2 binary32) (*.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1))) #s(literal -1 binary32) (.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) #s(literal 1/2 binary32) (*.f32 (log.f32 u1) #s(literal 1/2 binary32))))
(exp.f32 (-.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) (.f32 #s(literal 1/2 binary32) (log1p.f32 (neg.f32 u1)))))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (sqrt.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1))) (sqrt.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (neg.f32 (sqrt.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 u1))) (sqrt.f32 (neg.f32 (sqrt.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1)))) (sqrt.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (*.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (sqrt.f32 (neg.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1 binary32)))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(*.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)) (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (pow.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 u1) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) (.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(.f32 (pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1/2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) u1))) (sqrt.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 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 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 (pow.f32 u1 #s(literal 1/4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 u1)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)))
(pow.f32 u1 #s(literal 1/2 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))
(pow.f32 (pow.f32 u1 #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 (log.f32 u1)) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 u1)))
(sqrt.f32 u1)
(*.f32 (sqrt.f32 u1) #s(literal 1 binary32))
(*.f32 (sqrt.f32 u1) (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)))
(*.f32 #s(literal 1 binary32) (sqrt.f32 u1))
(*.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 u1)))
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(/.f32 (-.f32 #s(literal -1 binary32) u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))))) (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))) #s(literal 0 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32)))))) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))) #s(literal 0 binary32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal 0 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))))) (+.f32 #s(literal 0 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal -1 binary32))) #s(literal 0 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1 binary32))
(.f32 (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 (neg.f32 u1) (-.f32 #s(literal -1 binary32) u1)))
(.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (-.f32 #s(literal -1 binary32) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32)))
(.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32)))) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal -1 binary32)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32)))
(*.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))

eval174.0ms (1.5%)

Memory: 6.7MiB live, 295.4MiB allocated
Compiler: Compiled 40 691 to 3 451 computations (91.5% saved)

prune294.0ms (2.6%)

Memory

2.9MiB live, 536.3MiB allocated

Pruning

59 alts after pruning (53 fresh and 6 done)

	Pruned	Kept	Total
New	1 527	29	1 556
Fresh	11	24	35
Picked	2	3	5
Done	0	3	3
Total	1 540	59	1 599

Accuracy

99.8%

Counts

1 599 → 59

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓	98.8%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 (neg.f32 u1) (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (.f32 (sqrt.f32 #s(approx (neg (/ 1 (+ u1 -1))) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	93.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	93.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	92.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	89.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( (+ u1 -1) (+ u1 1)) (* (+ -1 (* u1 u1)) (* u1 u1))) (* (+ -1 (* u1 u1)) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	80.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	78.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
▶	92.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	83.2%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 u1)) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.0%	#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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)))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	92.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
▶	92.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	90.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	91.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	92.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	92.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	92.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	82.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
✓	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
▶	77.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
	74.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sqrt.f32 u1)))
	82.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
	76.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
	73.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	76.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
▶	73.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	5.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	69.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (pow.f32 (*.f32 u1 u1) #s(literal 1/4 binary32))))
✓	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 2 393 to 1 450 computations (39.4% saved)

simplify239.0ms (2.1%)

Memory

-23.1MiB live, 94.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(*.f32 u2 u2)
cost-diff	0	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
cost-diff	32	(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
cost-diff	0	#s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
cost-diff	0	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
cost-diff	160	(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 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	#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	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Rules

4 108×	`lower-fma.f64`
4 092×	`lower-fma.f32`
1 324×	`lower-*.f64`
1 312×	`lower-*.f32`
748×	`lower-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	441
0	85	444
1	146	431
2	310	431
3	592	431
4	845	431
5	963	431
6	1007	431
7	1224	431
8	1738	431
9	2171	431
10	2790	431
11	3434	431
12	3596	431
13	3780	431
14	3931	431
15	4035	431
16	4073	431
17	4075	431
18	4075	431
19	4085	431
20	4085	431
21	4091	431
0	4091	431

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.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
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1 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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
u1
(fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32))
#s(literal -1/8 binary32)
#s(literal -1/2 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
u2
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
u1
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(fma.f32 u1 u1 u1)
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.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
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
#s(literal -1 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
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
u1
(fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32))
#s(literal -1/8 binary32)
#s(literal -1/2 binary32)
(sqrt.f32 u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
u2
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
u1
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(fma.f32 u1 u1 u1)
(fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
(fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))
#s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)
#s(literal -98696044010906577398881/5000000000000000000000 binary32)
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(fma.f32 u1 u1 u1)
u1
(fma.f32 u1 u1 #s(literal 1 binary32))
#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

localize158.0ms (1.4%)

Memory

24.1MiB live, 259.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.15625	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.205410009768442	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	2.5245239838105173	#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
accuracy	0.234375	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.3671875	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
accuracy	2.108190724604224	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
accuracy	2.5245239838105173	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
accuracy	0.15625	(/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
accuracy	0.3366012695368841	(*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))
accuracy	2.5403554862293403	#s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
accuracy	5.295082840108883	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
accuracy	0	(fma.f32 u1 u1 u1)
accuracy	0.09765625	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
accuracy	4.831308321535572	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	5.295082840108883	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
accuracy	0.11641292327701744	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
accuracy	0.125	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
accuracy	0.29296875	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

83.0ms

256×

valid

Compiler

Compiled 288 to 44 computations (84.7% saved)

Precisions

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

ival-mult: 19.0ms (29.4% of total)

ival-sqrt: 13.0ms (20.1% of total)

ival-add: 11.0ms (17% of total)

const: 11.0ms (17% of total)

ival-div: 6.0ms (9.3% of total)

ival-cos: 3.0ms (4.6% of total)

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

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-18.3MiB live, 56.3MiB allocated

Counts

24 → 372

Calls

Call 1

Inputs
#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())
#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (patch (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (patch (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) (patch #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)) (patch (.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (patch (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (patch #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) (patch (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (.f32 u2 u2) (patch (.f32 u2 u2) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (patch (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (patch #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (patch (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (patch (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) (patch #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())
#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())

Outputs
#s(alt (sqrt (/ 1 (- (/ 1 u1) 1))) (taylor 0 u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))) (taylor 0 u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))) (taylor 0 u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ 1 (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))) (taylor 0 u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1)))) (taylor -inf u2) (#s(alt (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (patch (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #<representation binary32>) () ())) ())
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#s(alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (patch (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(+ (* u1 (+ (* u1 (+ (* u1 u1) u1)) u1)) u1)
1.0ms	u2	@	inf	(/ (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
1.0ms	u2	@	0	(/ (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
1.0ms	u1	@	-inf	(/ (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
0.0ms	u1	@	inf	(sqrt (+ (/ 1 u1) -1))

simplify326.0ms (2.8%)

Memory

44.4MiB live, 472.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 380×	`lower-fma.f64`
12 380×	`lower-fma.f32`
6 740×	`lower-*.f64`
6 740×	`lower-*.f32`
3 926×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	6698
1	1682	5962
2	5583	5417
0	8392	5116

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 365

Calls

Call 1

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

Outputs
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) 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 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))
-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 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1))

rewrite349.0ms (3%)

Memory

10.8MiB live, 524.6MiB allocated

Rules

4 816×	`lower-fma.f64`
4 800×	`lower-fma.f32`
4 036×	`lower-*.f64`
4 024×	`lower-*.f32`
3 756×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	50	348
0	85	348
1	292	339
2	2056	339
0	8260	339

Stop Event

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

Counts

24 → 794

Calls

Call 1

Inputs
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.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)
(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 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 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))))
#s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 u2 u2)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
#s(approx (/ u1 (- 1 u1)) (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

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

eval169.0ms (1.5%)

Memory: 2.4MiB live, 276.0MiB allocated
Compiler: Compiled 57 088 to 3 446 computations (94% saved)

prune311.0ms (2.7%)

Memory

-0.6MiB live, 596.8MiB allocated

Pruning

65 alts after pruning (55 fresh and 10 done)

	Pruned	Kept	Total
New	1 292	20	1 312
Fresh	13	35	48
Picked	1	4	5
Done	0	6	6
Total	1 306	65	1 371

Accuracy

99.9%

Counts

1 371 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.2%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
✓	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	87.0%	(/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1)))
	93.5%	(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	92.4%	(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	89.9%	(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	82.8%	(/.f32 #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.5%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓	98.8%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	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)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (.f32 (/.f32 (sqrt.f32 u1) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (fma.f32 (neg.f32 u1) (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (.f32 u1 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.1%	(.f32 (.f32 (sqrt.f32 #s(approx (neg (/ 1 (+ u1 -1))) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	93.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	92.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	90.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	89.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( (+ u1 -1) (+ u1 1)) (* (+ -1 (* u1 u1)) (* u1 u1))) (* (+ -1 (* u1 u1)) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	80.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	78.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	92.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 (neg.f32 u1)))) (fma.f32 u1 u1 (neg.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	92.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	86.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	78.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))
	91.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 #s(approx (/ (sqrt u1) (sqrt (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.5%	(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
	83.0%	#s(approx (/ (cos (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	94.0%	#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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)))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	90.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	91.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000)) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	92.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	92.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))))))
	82.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	77.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))))
✓	82.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)))
✓	77.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32)))) (sqrt.f32 u1)))
	74.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sqrt.f32 u1)))
	82.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	76.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
	73.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
✓	83.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	83.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	78.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	76.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
✓	73.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	73.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (*.f32 u1 u1) u1))))
	73.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (*.f32 u1 u1)))))))))
	73.3%	#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))))
	19.4%	#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)))))
	69.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1)))) (.f32 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))))
	5.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (/.f32 #s(literal 1 binary32) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
	5.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ u1 (- 1 u1))) (+ (* (* u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000) -98696044010906577398881/5000000000000000000000))) (sqrt (/ u1 (- 1 u1)))) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)))))))
✓	64.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 3 289 to 1 127 computations (65.7% saved)

regimes240.0ms (2.1%)

Memory

-9.5MiB live, 421.4MiB allocated

Counts

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

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

Calls

8 calls:

37.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
30.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms	cosTheta_i
29.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
28.0ms	u2

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes147.0ms (1.3%)

Memory

7.9MiB live, 282.1MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

19.0ms	cosTheta_i
19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms	u2
18.0ms	u1
18.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
94.0%	1	`cosTheta_i`
97.9%	2	`u1`
98.5%	2	`u2`
98.3%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
97.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
97.8%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes63.0ms (0.5%)

Memory

-3.6MiB live, 117.2MiB allocated

Counts

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

Outputs

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

Calls

3 calls:

24.0ms	u2
18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.7%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.0%	2	`u2`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 24 to 19 computations (20.8% saved)

regimes179.0ms (1.6%)

Memory

30.8MiB live, 305.2MiB allocated

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

Outputs

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

Calls

8 calls:

38.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
30.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	cosTheta_i
18.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
94.0%	1	`cosTheta_i`
94.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.0%	1	`u1`
94.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.0%	1	`u2`
94.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes142.0ms (1.2%)

Memory

-28.3MiB live, 330.8MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

23.0ms	cosTheta_i
22.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
16.0ms	u1

Results

Accuracy	Segments	Branch
94.0%	1	`cosTheta_i`
94.0%	1	`u1`
94.0%	1	`u2`
94.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes117.0ms (1%)

Memory

9.0MiB live, 285.7MiB allocated

Counts

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

Calls

8 calls:

16.0ms	u2
15.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
14.0ms	u1
14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
93.9%	1	`u2`
93.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.9%	1	`u1`
93.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.9%	1	`cosTheta_i`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes94.0ms (0.8%)

Memory

-3.2MiB live, 229.9MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes107.0ms (0.9%)

Memory

13.6MiB live, 207.5MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

37.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	cosTheta_i
10.0ms	u1
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
90.4%	1	`cosTheta_i`
90.4%	1	`u1`
90.4%	1	`u2`
90.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
90.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes75.0ms (0.7%)

Memory

2.6MiB live, 201.7MiB allocated

Counts

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

Outputs

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

Calls

8 calls:

14.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms	cosTheta_i
9.0ms	u1
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
90.4%	1	`cosTheta_i`
90.4%	1	`u1`
90.4%	1	`u2`
90.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes326.0ms (2.8%)

Memory

-35.0MiB live, 187.3MiB allocated

Counts

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

Outputs

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

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

Calls

8 calls:

270.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
8.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms	u1
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
87.9%	2	`u2`
87.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.3%	1	`cosTheta_i`
88.0%	2	`u1`
88.5%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.0%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.0%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
87.9%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes36.0ms (0.3%)

Memory

-21.9MiB live, 99.5MiB allocated

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))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) 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))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (- 1 u1)) (fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32)))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) #s(approx (cos (* 314159265359/50000000000 u2)) #s(literal 1 binary32)))

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

Calls

7 calls:

7.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms	u2
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
83.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.3%	1	`u2`
83.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.3%	1	`u1`
83.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
83.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes26.0ms (0.2%)

Memory

-12.4MiB live, 69.7MiB allocated

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
76.3%	1	`u2`
76.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
76.3%	1	`u1`
76.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
76.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
76.3%	1	`cosTheta_i`
76.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
76.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes22.0ms (0.2%)

Memory

27.2MiB live, 66.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
73.5%	1	`u1`
73.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
73.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
73.5%	1	`u2`
73.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
73.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
73.5%	1	`cosTheta_i`
73.5%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes21.0ms (0.2%)

Memory

-18.8MiB live, 61.8MiB allocated

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

Results

Accuracy	Segments	Branch
73.4%	1	`u1`
73.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
73.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
73.4%	1	`cosTheta_i`
73.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
73.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
73.4%	1	`u2`
73.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

5.8MiB live, 45.0MiB allocated

Accuracy

Total -14.4b remaining (-126.2%)

Threshold costs -14.4b (-126.2%)

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

Results

Accuracy	Segments	Branch
64.3%	1	`u1`
64.3%	1	`u2`
64.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
64.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
64.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
64.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
64.3%	1	`cosTheta_i`
64.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5748751163482666	0.928606390953064

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.928606390953064	1.0170668363571167

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04103474318981171	0.046575918793678284

Compiler

Compiled 17 to 17 computations (0% saved)

simplify14.0ms (0.1%)

Memory

-1.1MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Rules

38×	`*-commutative_binary32`
4×	`sub-neg_binary32`
4×	`+-commutative_binary32`
2×	`neg-sub0_binary32`
2×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	502
1	106	502
2	110	502
3	112	502
4	113	502

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #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) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3019899/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1 binary32)) #s(approx ( (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.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 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
#s(approx (* (/ (sqrt u1) (sqrt (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal 1 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #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) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 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 3019899/67108864 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ 1 (sqrt (- 1 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness1.3s (11.4%)

Memory

16.0MiB live, 1 132.4MiB allocated

Rules

19 904×	`lower-fma.f64`
19 904×	`lower-fma.f32`
14 002×	`lower-fma.f64`
14 002×	`lower-fma.f32`
11 870×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32
0	309	4238
1	917	3845
2	2912	3527
3	6270	3514
0	8135	3329
0	546	6505
1	1693	5778
2	5885	5176
0	8032	4878
0	43	261
0	73	259
1	235	224
2	1746	220
0	8544	215
0	193	978
1	554	887
2	1623	819
3	4916	767
0	8214	735

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

Compiler

Compiled 639 to 285 computations (55.4% saved)

preprocess65.0ms (0.6%)

Memory

3.0MiB live, 160.1MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 852 to 268 computations (68.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Iter	Nodes	Cost
0	38	278
0	62	272
1	101	270
2	194	262
3	426	262
4	576	262
5	616	262
6	650	262
7	801	262
8	844	262
9	850	262
10	859	262
11	884	262
12	890	262
0	890	260

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Iter	Nodes	Cost
0	38	278
0	62	272
1	101	270
2	194	262
3	426	262
4	576	262
5	616	262
6	650	262
7	801	262
8	844	262
9	850	262
10	859	262
11	884	262
12	890	262
0	890	260

start0.0ms (0%)

analyze333.0ms (2.9%)

sample2.0s (17.7%)

explain111.0ms (1%)

preprocess36.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize34.0ms (0.3%)

series9.0ms (0.1%)

simplify347.0ms (3%)

rewrite227.0ms (2%)

eval70.0ms (0.6%)

prune129.0ms (1.1%)

simplify281.0ms (2.4%)

localize122.0ms (1.1%)

series27.0ms (0.2%)

simplify313.0ms (2.7%)

rewrite338.0ms (2.9%)

eval463.0ms (4%)

prune554.0ms (4.8%)

simplify46.0ms (0.4%)

localize170.0ms (1.5%)

series32.0ms (0.3%)

simplify422.0ms (3.7%)

rewrite374.0ms (3.2%)

eval174.0ms (1.5%)

prune294.0ms (2.6%)

simplify239.0ms (2.1%)

localize158.0ms (1.4%)

series27.0ms (0.2%)

simplify326.0ms (2.8%)

rewrite349.0ms (3%)

eval169.0ms (1.5%)

prune311.0ms (2.7%)

regimes240.0ms (2.1%)

regimes147.0ms (1.3%)

regimes63.0ms (0.5%)

regimes179.0ms (1.6%)

regimes142.0ms (1.2%)

regimes117.0ms (1%)

regimes94.0ms (0.8%)

regimes107.0ms (0.9%)

regimes75.0ms (0.7%)

regimes326.0ms (2.8%)

regimes36.0ms (0.3%)

regimes26.0ms (0.2%)

regimes22.0ms (0.2%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify14.0ms (0.1%)

soundness1.3s (11.4%)

preprocess65.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	36	106
1	78	104
2	128	104
3	215	102
4	361	102
5	611	102
6	775	102
7	871	102
8	910	102
9	930	102
10	934	102
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Iter	Nodes	Cost
0	10	36
0	16	36
1	22	36
2	26	36
3	31	36
4	38	36
5	48	36
6	63	36
7	86	36
8	108	36
9	116	36
10	118	36
0	118	36

Iter	Nodes	Cost
0	38	278
0	62	272
1	101	270
2	194	262
3	426	262
4	576	262
5	616	262
6	650	262
7	801	262
8	844	262
9	850	262
10	859	262
11	884	262
12	890	262
0	890	260