Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze258.0ms (1.8%)

Memory

17.6MiB live, 539.0MiB 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)

sample1.9s (13.6%)

Memory

-50.0MiB live, 2 850.6MiB allocated

Samples

1.2s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1000.0ms

const: 375.0ms (37.5% of total)

ival-<=: 116.0ms (11.6% of total)

ival-mult: 111.0ms (11.1% of total)

ival-sin: 107.0ms (10.7% of total)

ival-sub: 97.0ms (9.7% of total)

ival-div: 71.0ms (7.1% of total)

ival-sqrt: 57.0ms (5.7% of total)

ival-and: 32.0ms (3.2% of total)

ival->: 25.0ms (2.5% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

explain112.0ms (0.8%)

Memory

22.1MiB live, 218.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
-	-	`(-.f32 #s(literal 1 binary32) u1)`
-	-	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
-	-	`u2`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 314159265359/50000000000 binary32)`
-	-	`u1`
-	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
-	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
-	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

46.0ms

512×

valid

Compiler

Compiled 90 to 37 computations (58.9% saved)

Precisions

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

const: 8.0ms (25.7% of total)

ival-sin: 7.0ms (22.5% of total)

ival-mult: 6.0ms (19.3% of total)

ival-div: 4.0ms (12.9% of total)

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

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

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

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

exact: 0.0ms (0% of total)

preprocess52.0ms (0.4%)

Memory

3.0MiB live, 38.6MiB allocated

Algorithm

1×	egg-herbie

Rules

182×	`associate-l`
162×	`associate-r`
150×	`sub-neg`
148×	`distribute-lft-neg-in`
134×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	101
2	132	101
3	243	99
4	470	99
5	854	99
6	1104	99
7	1238	99
8	1310	99
9	1356	99
10	1372	99
11	1376	99
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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

Compiler

Compiled 14 to 11 computations (21.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB 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
▶	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify6.0ms (0%)

Memory

1.3MiB live, 1.3MiB 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))) (sin.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))) (sin.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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2

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

localize36.0ms (0.3%)

Memory

10.0MiB live, 47.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.1484375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

24.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 4.0ms (24.9% of total)

const: 4.0ms (24.9% of total)

ival-sin: 3.0ms (18.7% of total)

ival-div: 2.0ms (12.4% of total)

ival-sqrt: 2.0ms (12.4% of total)

ival-sub: 1.0ms (6.2% 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

10.8MiB live, 10.8MiB allocated

Counts

5 → 72

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2)) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#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 (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#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 (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#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 (+ (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)))))))))) (taylor 0 u1) (#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 (sqrt -1) (taylor inf u1) (#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 (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1))))) (taylor inf u1) (#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 (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1)))) (taylor inf u1) (#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 (- (+ (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)))) (taylor inf u1) (#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 (sqrt -1) (taylor -inf u1) (#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 (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1))) (taylor -inf u1) (#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 (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1))) (taylor -inf u1) (#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 (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) (taylor -inf u1) (#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 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) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 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 (* 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 (* 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>) () ())) ())
#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 (* 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>) () ())) ())

Calls

18 calls:

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

simplify230.0ms (1.6%)

Memory

-22.2MiB live, 250.2MiB allocated

Algorithm

1×	egg-herbie

Rules

19 410×	`lower-fma.f64`
19 410×	`lower-fma.f32`
6 806×	`lower-*.f64`
6 806×	`lower-*.f32`
3 586×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	922
1	550	831
2	1628	759
3	4996	709
0	8071	683

Stop Event

1×	iter limit
1×	node limit

Counts

72 → 71

Calls

Call 1

Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 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)

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 u1 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32))))) (.f32 u1 u1) (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -5/16 binary32) (.f32 (.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 1 binary32)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 (/.f32 #s(literal -3/8 binary32) u1) #s(literal -1/2 binary32))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (.f32 u1 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 (fma.f32 (.f32 u1 (fma.f32 (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (*.f32 u1 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 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -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 (/.f32 #s(literal -3/8 binary32) u1) #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 (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 binary32) u1))) u1)) u1) (sqrt.f32 #s(literal -1 binary32)))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(-.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)) u1) #s(literal 1 binary32))
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 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite156.0ms (1.1%)

Memory

30.2MiB live, 224.9MiB 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	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28

Stop Event

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

Counts

5 → 520

Calls

Call 1

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

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

eval82.0ms (0.6%)

Memory: -1.1MiB live, 192.8MiB allocated
Compiler: Compiled 16 182 to 2 497 computations (84.6% saved)

prune180.0ms (1.3%)

Memory

-47.4MiB live, 375.0MiB allocated

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	557	34	591
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	557	35	592

Accuracy

99.9%

Counts

592 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.5%	(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.3%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	97.9%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
	97.9%	(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.6%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.7%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (pow.f32 (/.f32 #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))) #s(literal -1 binary32)) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.5%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.2%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.1%	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 (.f32 u1 u1) u1) (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.6%	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.3%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.5%	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	96.5%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
▶	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Compiler

Compiled 1 522 to 997 computations (34.5% saved)

simplify181.0ms (1.3%)

Memory

33.5MiB live, 222.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	1568	(*.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)))))
cost-diff	0	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
cost-diff	0	(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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))) u1))
cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	160	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #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))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	96	(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1))
cost-diff	160	(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
cost-diff	544	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
cost-diff	608	(*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Rules

20 480×	`lower-fma.f64`
20 480×	`lower-fma.f32`
2 698×	`lower-*.f64`
2 680×	`lower-*.f32`
1 722×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	39	339
0	65	349
1	109	349
2	204	265
3	441	253
4	1315	251
5	5182	251
0	8090	251

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1))
(*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
#s(literal 0 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(sin.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))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
#s(literal -1 binary32)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(sqrt.f32 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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)))))
(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.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 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 u1 #s(literal 1 binary32))
(*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
#s(literal 0 binary32)
#s(literal 0 binary32)
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
(-.f32 #s(literal 1 binary32) u1)
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1)) u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) 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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(/.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)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.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)))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize176.0ms (1.3%)

Memory

-7.9MiB live, 243.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.495136279305326	(*.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)))))
accuracy	0.17578125	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.35384750976844204	(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
accuracy	0.371757519536884	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.17578125	(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.34375	(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
accuracy	0.371757519536884	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.1484375	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.28515625	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.30697250976844204	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	5.723655469926439	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.18978500976844204	(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
accuracy	0.26171875	(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

118.0ms

256×

valid

Compiler

Compiled 330 to 36 computations (89.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-sub: 32.0ms (41.7% of total)

ival-mult: 21.0ms (27.4% of total)

ival-sqrt: 9.0ms (11.7% of total)

ival-div: 7.0ms (9.1% of total)

const: 4.0ms (5.2% of total)

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

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.2%)

Memory

14.1MiB live, 50.2MiB allocated

Counts

21 → 324

Calls

Call 1

Inputs
#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())
#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<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 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1) (patch (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.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))) u1)) (patch (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #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>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (patch (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (patch (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt (.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))))) (patch (.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))))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (patch (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.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 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())

Outputs
#s(alt 0 (taylor 0 u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
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#s(alt 0 (taylor 0 u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor 0 u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
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#s(alt 0 (taylor inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt 0 (taylor -inf u1) (#s(alt (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
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#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #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 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #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 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (patch (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) #<representation binary32>) () ())) ())
#s(alt (/ -1 u1) (taylor 0 u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* 2 u1) 1) u1) (taylor 0 u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* u1 (+ 2 (* -1 u1))) 1) u1) (taylor 0 u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (/ (- (* u1 (+ 2 (* -1 u1))) 1) u1) (taylor 0 u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* 2 (/ 1 u1)) 1)) (taylor inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) (taylor inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2))))) (taylor inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (* 2 (/ 1 u1))))) (taylor -inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))) (taylor -inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))) (taylor -inf u1) (#s(alt (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- u1 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- u1 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (- u1 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt u1 (taylor inf u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- 1 (/ 1 u1))) (taylor inf u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- 1 (/ 1 u1))) (taylor inf u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (- 1 (/ 1 u1))) (taylor inf u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt u1 (taylor -inf u1) (#s(alt (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (patch (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
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Calls

81 calls:

Time	Variable		Point	Expression
5.0ms	u2	@	inf	(* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000))
2.0ms	u1	@	inf	(sqrt (sqrt (/ u1 (- 1 u1))))
2.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000))
1.0ms	u1	@	0	(* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(* (sqrt (* (/ -1 (- u1 1)) u1)) (sin (* 314159265359/50000000000 u2)))

simplify223.0ms (1.6%)

Memory

-24.2MiB live, 250.6MiB allocated

Algorithm

1×	egg-herbie

Rules

12 916×	`lower-fma.f64`
12 916×	`lower-fma.f32`
6 608×	`lower-*.f64`
6 608×	`lower-*.f32`
4 638×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	458	5161
1	1401	4677
2	5085	4179
0	8101	3996

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 319

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
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 u1)
(/ (- (* 2 u1) 1) u1)
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(* -1 u1)
(* u1 (- (* 2 (/ 1 u1)) 1))
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (* 2 (/ 1 u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
-1
(- u1 1)
(- u1 1)
(- u1 1)
u1
(* u1 (- 1 (/ 1 u1)))
(* u1 (- 1 (/ 1 u1)))
(* u1 (- 1 (/ 1 u1)))
u1
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (/ 1 u1) 1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
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(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)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(pow (* 1 u1) 1/4)
(+ (* 1/4 (pow (* 1 (pow u1 5)) 1/4)) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 5/32 (pow (* 1 (pow u1 5)) 1/4)) (* 1/4 (pow (* 1 u1) 1/4)))) (pow (* 1 u1) 1/4))
(+ (* u1 (+ (* 1/4 (pow (* 1 u1) 1/4)) (* u1 (+ (* 15/128 (pow (* 1 (pow u1 5)) 1/4)) (* 5/32 (pow (* 1 u1) 1/4)))))) (pow (* 1 u1) 1/4))
(pow -1 1/4)
(+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))
(+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4)))
(+ (* 15/128 (* (pow -1 1/4) (/ 1 (pow u1 3)))) (+ (* 5/32 (* (pow -1 1/4) (/ 1 (pow u1 2)))) (+ (* 1/4 (* (pow -1 1/4) (/ 1 u1))) (pow -1 1/4))))
(sqrt (sqrt -1))
(+ (sqrt (sqrt -1)) (* 1/4 (* (/ 1 u1) (sqrt (sqrt -1)))))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1/4 (sqrt (sqrt -1))) (* -5/32 (* (/ 1 u1) (sqrt (sqrt -1))))) u1)))
(+ (sqrt (sqrt -1)) (* -1 (/ (+ (* -1 (/ (+ (* 15/128 (* (/ 1 u1) (sqrt (sqrt -1)))) (* 5/32 (sqrt (sqrt -1)))) u1)) (* -1/4 (sqrt (sqrt -1)))) u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 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)
(* 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)

Outputs
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (-.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) u1) #s(literal 1 binary32))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(/ (- (* 2 u1) 1) u1)
(-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) u1))
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(-.f32 (-.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(/ (- (* u1 (+ 2 (* -1 u1))) 1) u1)
(-.f32 (-.f32 #s(literal 2 binary32) u1) (/.f32 #s(literal 1 binary32) u1))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (* 2 (/ 1 u1)) 1))
(-.f32 #s(literal 2 binary32) u1)
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1 #s(literal 2 binary32))
(* u1 (- (* 2 (/ 1 u1)) (+ 1 (/ 1 (pow u1 2)))))
(fma.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) u1 #s(literal 2 binary32))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (* 2 (/ 1 u1)))))
(-.f32 #s(literal 2 binary32) u1)
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
(-.f32 (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) u1)
(* -1 (* u1 (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))))
(-.f32 (+.f32 #s(literal 2 binary32) (.f32 (/.f32 #s(literal -1 binary32) (.f32 u1 u1)) u1)) u1)
-1
#s(literal -1 binary32)
(- u1 1)
(-.f32 u1 #s(literal 1 binary32))
(- u1 1)
(-.f32 u1 #s(literal 1 binary32))
(- u1 1)
(-.f32 u1 #s(literal 1 binary32))
u1
(* u1 (- 1 (/ 1 u1)))
(-.f32 u1 #s(literal 1 binary32))
(* u1 (- 1 (/ 1 u1)))
(-.f32 u1 #s(literal 1 binary32))
(* u1 (- 1 (/ 1 u1)))
(-.f32 u1 #s(literal 1 binary32))
u1
(* -1 (* u1 (- (/ 1 u1) 1)))
(-.f32 u1 #s(literal 1 binary32))
(* -1 (* u1 (- (/ 1 u1) 1)))
(-.f32 u1 #s(literal 1 binary32))
(* -1 (* u1 (- (/ 1 u1) 1)))
(-.f32 u1 #s(literal 1 binary32))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 u1) (.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 u1 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -5/16 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

rewrite279.0ms (2%)

Memory

41.8MiB live, 432.0MiB allocated

Rules

10 228×	`lower-fma.f64`
10 228×	`lower-fma.f32`
4 348×	`lower-*.f64`
4 332×	`lower-*.f32`
3 340×	`lower-/.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	228
0	65	184
1	186	172
2	1246	150
0	9090	150

Stop Event

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

Counts

21 → 2 729

Calls

Call 1

Inputs
(*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1))
(/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.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 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

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

eval459.0ms (3.3%)

Memory: 43.4MiB live, 1 071.4MiB allocated
Compiler: Compiled 131 102 to 9 662 computations (92.6% saved)

prune901.0ms (6.4%)

Memory

-11.9MiB live, 1 397.9MiB allocated

Pruning

48 alts after pruning (46 fresh and 2 done)

	Pruned	Kept	Total
New	4 468	40	4 508
Fresh	23	6	29
Picked	4	1	5
Done	0	1	1
Total	4 495	48	4 543

Accuracy

99.9%

Counts

4 543 → 48

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1)))
	97.4%	(.f32 (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	85.3%	(.f32 (.f32 (sqrt.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.0%	(.f32 (.f32 (sqrt.f32 #s(approx (/ -1 (- u1 1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.5%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal 0 binary32) (.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	90.0%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.5%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.8%	(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
	94.2%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
	89.3%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
▶	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
	94.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
▶	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	80.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)))
✓	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	76.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	72.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	63.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
	72.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))

Compiler

Compiled 1 838 to 1 151 computations (37.4% saved)

simplify239.0ms (1.7%)

Memory

8.1MiB live, 309.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
cost-diff	0	#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
cost-diff	320	(fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(*.f32 (sqrt.f32 u1) u2)
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
cost-diff	0	(*.f32 u2 (sqrt.f32 u1))
cost-diff	0	(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))

Rules

28 134×	`lower-fma.f64`
28 126×	`lower-fma.f32`
3 358×	`lower-*.f64`
3 334×	`lower-*.f32`
3 006×	`lower-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	54	421
0	89	401
1	163	389
2	340	345
3	836	345
4	2061	345
5	7141	345
0	8067	345

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(sin.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))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 (sqrt.f32 u1))
u2
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(.f32 (.f32 (*.f32 u2 u2) u2) u2)
(.f32 (.f32 u2 u2) u2)
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(sin.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 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) u2)
u2
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(sqrt.f32 u1)
u1
u2
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
(.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
(fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(.f32 (.f32 (*.f32 u2 u2) u2) u2)
(.f32 (.f32 u2 u2) u2)
(*.f32 u2 u2)
u2
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(fma.f32 u1 u1 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize210.0ms (1.5%)

Memory

21.8MiB live, 382.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	3.1526318596061684	#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
accuracy	0.27734375	(.f32 (.f32 (*.f32 u2 u2) u2) u2)
accuracy	0.28125	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
accuracy	0.3600387695368841	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	2.0952278201100745	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
accuracy	0.2421875	(/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.25390625	(*.f32 (sqrt.f32 u1) u2)
accuracy	0.34765625	(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
accuracy	5.723655469926439	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
accuracy	0.25390625	(*.f32 u2 (sqrt.f32 u1))
accuracy	0.34765625	(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
accuracy	5.723655469926439	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
accuracy	8.335722768461446	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))
accuracy	0.15234375	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
accuracy	0.2734375	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

154.0ms

256×

valid

Compiler

Compiled 347 to 51 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 126.0ms

ival-div: 45.0ms (35.6% of total)

ival-mult: 32.0ms (25.3% of total)

ival-sqrt: 27.0ms (21.4% of total)

const: 10.0ms (7.9% of total)

ival-add: 4.0ms (3.2% of total)

ival-sub: 4.0ms (3.2% of total)

ival-sin: 3.0ms (2.4% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.3%)

Memory

-24.6MiB live, 94.3MiB allocated

Counts

22 → 420

Calls

Call 1

Inputs
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (patch (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) (patch (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 u2 (sqrt.f32 u1)) (patch (.f32 u2 (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (patch (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 u1) u2) (patch (.f32 (sqrt.f32 u1) u2) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) (patch (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2) (patch (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (patch (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)) (patch #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (fma.f32 u1 u1 u1) u1 u1) (patch (fma.f32 (fma.f32 u1 u1 u1) 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 (.f32 (.f32 (.f32 u2 u2) u2) u2) (patch (.f32 (.f32 (.f32 u2 u2) u2) u2) #<representation binary32>) () ())

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

Calls

105 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(+ (* (+ (* u1 u1) u1) u1) u1)
2.0ms	u1	@	0	(/ 1 (/ (- 1 u1) u1))
2.0ms	u1	@	inf	(* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2)
1.0ms	u1	@	0	(* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2)
1.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)))

simplify283.0ms (2%)

Memory

37.5MiB live, 385.5MiB allocated

Algorithm

1×	egg-herbie

Rules

23 718×	`lower-fma.f64`
23 718×	`lower-fma.f32`
7 028×	`lower-*.f64`
7 028×	`lower-*.f32`
6 316×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	7045
1	1281	6450
2	4784	5798
0	8843	5505

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 417

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) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 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)))
(/ 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)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* 314159265359/100000000000 (/ (* u2 (sqrt -1)) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -942477796077/400000000000 (/ (* u2 (sqrt -1)) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -1 (/ (+ (* -314159265359/100000000000 (* u2 (sqrt -1))) (* -1 (/ (+ (* 314159265359/160000000000 (/ (* u2 (sqrt -1)) u1)) (* 942477796077/400000000000 (* u2 (sqrt -1)))) u1))) u1)) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
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314159265359/50000000000
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* -3/8 (/ (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) u1))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 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))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(pow u1 3)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(* 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)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)
(pow u2 4)

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(* -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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 (.f32 #s(literal 1/2 binary32) u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 (*.f32 u1 u1) #s(literal 1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -5/16 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))) u2)
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (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 #s(literal 1/2 binary32) (sqrt.f32 u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) (*.f32 u1 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 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
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314159265359/50000000000
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
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(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))))
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(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))))
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(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))
(.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
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(+ (* -1 (/ (+ (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4))))))) (* -3/8 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(-.f32 (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 u2 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u1) #s(literal -3/8 binary32) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) #s(literal -1/2 binary32))))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))) u1)) (* 3/8 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))) u1)) (* -1/2 (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))) u1)) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))))
(-.f32 (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u2)) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))) (/.f32 (.f32 u2 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) #s(literal 3/8 binary32) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u1) #s(literal 5/16 binary32))))) u1)) u1))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 5 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
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(* (sqrt u1) (+ 314159265359/50000000000 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 4)))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (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 #s(literal 1/2 binary32) (sqrt.f32 u1))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)))) (*.f32 u1 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 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)) u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(pow u1 3)
(.f32 (.f32 u1 u1) u1)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (fma.f32 u1 u1 u1) u1)
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 (.f32 (.f32 u1 u1) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (fma.f32 u1 u1 u1) u1))
(* (pow u1 3) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(fma.f32 (.f32 (.f32 u1 u1) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (fma.f32 u1 u1 u1) u1))
(pow u1 3)
(.f32 (.f32 u1 u1) u1)
(* (pow u1 3) (+ 1 (/ 1 u1)))
(*.f32 (fma.f32 u1 u1 u1) u1)
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1) (*.f32 (neg.f32 u1) u1))
(* -1 (* (pow u1 3) (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)))
(.f32 (.f32 (-.f32 #s(literal -1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) u1) (*.f32 (neg.f32 u1) u1))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(* 314159265359/50000000000 u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))
(pow u2 4)
(.f32 (.f32 u2 u2) (*.f32 u2 u2))

rewrite398.0ms (2.8%)

Memory

-13.1MiB live, 399.3MiB allocated

Rules

4 764×	`lower-/.f64`
4 756×	`lower-/.f32`
4 276×	`lower-*.f64`
4 252×	`lower-*.f32`
3 334×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	341
0	89	301
1	288	286
2	2094	286
0	8422	286

Stop Event

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

Counts

22 → 689

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))
(*.f32 u2 (sqrt.f32 u1))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))
(*.f32 (sqrt.f32 u1) u2)
(fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 (.f32 (*.f32 u2 u2) u2) u2)

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

eval210.0ms (1.5%)

Memory: -6.6MiB live, 220.0MiB allocated
Compiler: Compiled 34 954 to 2 910 computations (91.7% saved)

prune478.0ms (3.4%)

Memory

-10.4MiB live, 518.4MiB allocated

Pruning

60 alts after pruning (56 fresh and 4 done)

	Pruned	Kept	Total
New	1 096	24	1 120
Fresh	9	32	41
Picked	3	2	5
Done	0	2	2
Total	1 108	60	1 168

Accuracy

99.9%

Counts

1 168 → 60

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1)))
	97.4%	(.f32 (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	92.0%	(.f32 (.f32 (sqrt.f32 #s(approx (/ -1 (- u1 1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.8%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	90.0%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.4%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (fma.f32 (.f32 (.f32 u1 u1) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (fma.f32 u1 u1 u1) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.2%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.8%	(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
	94.2%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
	89.3%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
	92.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	94.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
▶	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))
▶	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
	4.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))) u2))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	92.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) u2))
	81.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	76.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
	72.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
▶	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	63.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))

Compiler

Compiled 2 492 to 1 528 computations (38.7% saved)

simplify250.0ms (1.8%)

Memory

10.2MiB live, 216.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
cost-diff	0	(.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
cost-diff	160	(fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2))
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))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
cost-diff	0	(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
cost-diff	0	(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	320	(/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))
cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))

Rules

20 174×	`lower-fma.f64`
20 166×	`lower-fma.f32`
2 912×	`lower-*.f64`
2 888×	`lower-*.f32`
2 462×	`lower-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	441
0	89	433
1	170	393
2	344	367
3	686	359
4	1831	359
5	6840	359
0	8113	359

Stop Event

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

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))
#s(literal 1 binary32)
(/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))
(-.f32 u1 (*.f32 u1 u1))
u1
(*.f32 u1 u1)
(sin.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))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
u2
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
(.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
(/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32))
u2
(fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2))
(.f32 (.f32 u2 u2) u2)
(*.f32 u2 u2)
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sin.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 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
#s(literal 1 binary32)
(/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 u1 (*.f32 u1 u1))
u1
(*.f32 u1 u1)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
(sqrt.f32 u1)
u1
#s(literal 314159265359/50000000000 binary32)
u2
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
u1
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
u2
#s(literal 314159265359/50000000000 binary32)
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
(.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
(/.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(/.f32 (fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
u2
(fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2))
(.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2)
(.f32 (.f32 u2 u2) u2)
(*.f32 u2 u2)
#s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
#s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)
#s(literal 314159265359/50000000000 binary32)
(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(-.f32 #s(literal 1 binary32) u1)
#s(literal 1 binary32)
u1
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
#s(literal 314159265359/50000000000 binary32)
u2

localize232.0ms (1.7%)

Memory

2.9MiB live, 240.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1484375	(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.371757519536884	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	4.853378819749481	#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))
accuracy	0.26953125	(.f32 (.f32 u2 u2) u2)
accuracy	0.28125	(.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
accuracy	0.33984375	(/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
accuracy	2.0952278201100745	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
accuracy	0.22885850592315704	(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.28125	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
accuracy	0.3912887695368841	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	3.0179918774985426	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
accuracy	0.26953125	(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
accuracy	0.390625	(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
accuracy	5.723655469926439	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
accuracy	8.335722768461446	#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
accuracy	0.2734375	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))
accuracy	0.28515625	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.31869125976844204	(/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))
accuracy	0.371757519536884	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

166.0ms

256×

valid

Compiler

Compiled 375 to 51 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 147.0ms

ival-mult: 73.0ms (49.7% of total)

const: 37.0ms (25.2% of total)

ival-div: 11.0ms (7.5% of total)

ival-sub: 9.0ms (6.1% of total)

ival-sqrt: 8.0ms (5.4% of total)

ival-add: 4.0ms (2.7% of total)

ival-sin: 3.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series60.0ms (0.4%)

Memory

8.9MiB live, 87.9MiB allocated

Counts

23 → 408

Calls

Call 1

Inputs
#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) (patch (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) (patch (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)) (patch #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2) (patch (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) #<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 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) (patch (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2) (patch (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (patch (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (patch (sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)) (patch #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- 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(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())

Outputs
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 u1)))) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))) (taylor 0 u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) (taylor inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (+ 1 (/ 1 u1))) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1) (taylor -inf u1) (#s(alt (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (/ 1 u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (/ (+ 1 (* -1 u1)) u1) (taylor 0 u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt -1 (taylor -inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor -inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor -inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (- (/ 1 u1) 1) (taylor -inf u1) (#s(alt (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) (patch (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)) #<representation binary32>) () ())) ())
#s(alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 (* (* u1 u2) (sqrt (/ 1 (- u1 (pow u1 2)))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (- u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2)))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
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#s(alt 314159265359/50000000000 (taylor 0 u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (taylor 0 u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (taylor inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000)) (taylor -inf u2) (#s(alt (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (patch (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor 0 u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())
#s(alt (pow u2 3) (taylor -inf u2) (#s(alt (.f32 (.f32 u2 u2) u2) (patch (.f32 (.f32 u2 u2) u2) #<representation binary32>) () ())) ())

Calls

102 calls:

Time	Variable		Point	Expression
10.0ms	u1	@	-inf	(* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2)
5.0ms	u2	@	0	(+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))
3.0ms	u1	@	inf	(+ (* u1 u1) u1)
1.0ms	u2	@	inf	(* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2)

simplify226.0ms (1.6%)

Memory

-24.7MiB live, 293.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 702×	`lower-fma.f64`
12 702×	`lower-fma.f32`
7 768×	`lower-*.f64`
7 768×	`lower-*.f32`
3 252×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	544	8054
1	1809	7313
2	7015	6569
0	8149	6171

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

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)
(/ 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)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (* u1 u2) (sqrt (/ 1 (- u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (- u1 (pow u1 2)))))) (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2))))))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (- u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (* u1 (pow u2 2)) (sqrt (/ 1 (- u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* u1 (sqrt (/ 1 (- u1 (pow u1 2))))))))))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(* (* u1 (sin (* 314159265359/50000000000 u2))) (sqrt (/ 1 (- u1 (pow u1 2)))))
(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)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(+ (* 314159265359/100000000000 (* (sqrt (pow u1 3)) u2)) (* 314159265359/50000000000 (* (sqrt u1) u2)))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt u1) u2)) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))
(+ (* 314159265359/50000000000 (* (sqrt u1) u2)) (* (pow u1 2) (+ (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)) (* u1 (+ (* 314159265359/100000000000 (* (sqrt u1) (* u2 (- 1 (* 1/4 (/ 1 u1)))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) u2)))))))
(* 314159265359/50000000000 (* u2 (sqrt -1)))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1)))))
(+ (* -314159265359/100000000000 (/ u2 (* u1 (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -314159265359/100000000000 (/ (* u2 (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 314159265359/50000000000 (* u2 (sqrt -1))))))
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(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)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* -1 (* (pow u2 3) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* -1 (* (pow u2 3) (- (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2))) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))))))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))))
(/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1))) (* -3/8 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1))))) u1)) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))) u1)) (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))) u1)) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
(* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))))
(+ (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))))))
(* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))
(+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))
(/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (sqrt -1))
(+ (* 1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (+ (* 314159265359/50000000000 (/ 1 (sqrt -1))) (/ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (sqrt -1))) (* -3/8 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1))))) u1)) (+ (* 314159265359/50000000000 (/ 1 (sqrt -1))) (/ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))) (sqrt -1))))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* 3/8 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (sqrt -1)))) u1)) (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (sqrt -1)))) u1)) (+ (* 314159265359/50000000000 (/ 1 (sqrt -1))) (/ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))) (sqrt -1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 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))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 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)
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)
(pow u2 3)

Outputs
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 (fma.f32 u1 u1 u1) u1 u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1)
-1
#s(literal -1 binary32)
(* -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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) 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) (*.f32 u1 u1))) (/.f32 #s(literal 1 binary32) u1)) u1))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(/ (+ 1 (* -1 u1)) u1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(- (/ 1 u1) 1)
(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (fma.f32 (.f32 u1 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))) #s(literal 1/2 binary32) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
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(* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
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(* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* 1/2 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
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(fma.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u1) #s(literal -3/8 binary32) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* (sqrt -1) (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
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(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
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(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
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(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
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(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
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(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
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(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/16 binary32) (.f32 #s(literal 3/8 binary32) (sqrt.f32 #s(literal -1 binary32)))) u1)) u1))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)
(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
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(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
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(* u2 (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))
(.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2)) u2)
(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
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(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
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(* (pow u2 3) (- 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* 31006276680305942139213528068663279/750000000000000000000000000000000 (/ 1 (pow u2 2)))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))
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(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
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(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
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(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
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(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
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(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
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(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 3/4 binary32) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 u1 u1)) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1)) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (+.f32 (/.f32 #s(literal -5/16 binary32) (.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) u1) u1) u1)) (sqrt.f32 #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))))
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(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
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(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
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(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 5)))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (+ (* -314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2))))))))
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(* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
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(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))))
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(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))))))
(fma.f32 (fma.f32 (.f32 u1 (.f32 #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1))) (.f32 (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1/2 binary32)))) (.f32 u1 u1) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))
(* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
(.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
(.f32 u2 (fma.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)) (*.f32 (sqrt.f32 #s(literal -1 binary32)) u1))))
(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))))
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(+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (* (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (pow u1 3) (sqrt -1)))) (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* u2 (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))))
(fma.f32 (.f32 #s(literal -1/2 binary32) u2) (.f32 (/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1)) (/.f32 #s(literal 5/8 binary32) (.f32 (.f32 u1 u1) u1)))) (.f32 u2 (fma.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))))
(/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1))
(.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32))))
(+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(.f32 u2 (fma.f32 (/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)) #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1 (/ (+ (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1))) (* -3/8 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1))))) u1)) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(-.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 u2 (fma.f32 (/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) #s(literal -3/8 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* u1 (sqrt -1)))) (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))) u1)) (* -1/2 (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))) u1)) (/ (* u2 (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (sqrt -1)))
(-.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (-.f32 (/.f32 (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) #s(literal -1/2 binary32)) u2) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 u2 (fma.f32 (/.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(literal -1 binary32))) #s(literal 3/8 binary32) (/.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 5/16 binary32)) (.f32 (sqrt.f32 #s(literal -1 binary32)) u1)))) u1)) u1))
(* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
(.f32 (.f32 (.f32 (.f32 (*.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 4)))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 2)))) (+ (* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) (/ 1 (pow u2 4)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))))))
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(* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))
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(+ (* 1/2 (* (sqrt (pow u1 3)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
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(+ (* (sqrt u1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))))))
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(* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))
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(+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))))
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(+ (* -1/2 (/ (* (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (* (sqrt -1) (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))))))
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(/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (sqrt -1))
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(+ (* 1/2 (/ (+ 314159265359/50000000000 (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3))))) (* u1 (sqrt -1)))) (+ (* 314159265359/50000000000 (/ 1 (sqrt -1))) (/ (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 3)))) (sqrt -1))))
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314159265359/50000000000
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)
(pow u2 3)
(.f32 (.f32 u2 u2) u2)

rewrite185.0ms (1.3%)

Memory

34.1MiB live, 265.3MiB allocated

Rules

4 748×	`lower-/.f64`
4 738×	`lower-/.f32`
4 076×	`lower-*.f64`
4 052×	`lower-*.f32`
3 134×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	55	355
0	89	327
1	312	296
2	2277	296
0	8304	296

Stop Event

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

Counts

23 → 675

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))
(/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2))
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
(.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2)
(/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1)))
#s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 u2 u2) u2)

Outputs
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32)) (/.f32 (fma.f32 u1 u1 u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)) (-.f32 u1 (.f32 u1 u1)))) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) u1) (/.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) #s(literal 1 binary32)) (/.f32 (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))))))
(.f32 (/.f32 u1 (/.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) u1)))) (/.f32 u1 (-.f32 (.f32 u1 u1) u1)))
(.f32 (/.f32 u1 (/.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (.f32 u1 u1) (.f32 (.f32 u1 u1) u1)))) (/.f32 u1 (fma.f32 (.f32 (.f32 u1 u1) u1) u1 (.f32 u1 (-.f32 u1 (*.f32 u1 u1))))))
(.f32 (/.f32 u1 (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (*.f32 u1 u1)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(.f32 (/.f32 u1 (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)) (-.f32 u1 (.f32 u1 u1)))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (*.f32 u1 u1)))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) u1)))) (/.f32 (.f32 u1 u1) (-.f32 (*.f32 u1 u1) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (.f32 u1 u1) (.f32 (.f32 u1 u1) u1)))) (/.f32 (.f32 u1 u1) (fma.f32 (.f32 (.f32 u1 u1) u1) u1 (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))
(.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 (neg.f32 u1) (-.f32 u1 (.f32 u1 u1))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) u1)) u1)
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 u1 (.f32 u1 u1)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) u1)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 u1 (.f32 u1 u1)))) (*.f32 (neg.f32 u1) u1))
(.f32 (/.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (fma.f32 u1 u1 u1))
(.f32 (/.f32 (.f32 u1 u1) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)) (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal 1 binary32)))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))))
(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) (+.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 u1) (-.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)) (-.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 u1) (.f32 u1 u1)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 u1))) u1) u1)
(.f32 (/.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (/.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)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(.f32 (/.f32 u1 #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1))) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal 1 binary32)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1))) (*.f32 u1 u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (.f32 u1 u1) u1))
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) u1)
(*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(*.f32 (neg.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u1 u1) (/.f32 #s(literal 1 binary32) (-.f32 u1 (*.f32 u1 u1))))
(.f32 u1 (.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(*.f32 u1 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))))
(*.f32 #s(literal 1 binary32) (/.f32 u1 (-.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 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) (neg.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(/.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.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) u1)) (neg.f32 (neg.f32 (-.f32 u1 (.f32 u1 u1)))))
(/.f32 (neg.f32 (neg.f32 u1)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))
(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (neg.f32 u1) u1) (neg.f32 (-.f32 u1 (.f32 u1 u1))))
(/.f32 (neg.f32 u1) (-.f32 u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (.f32 u1 u1) (-.f32 u1 (.f32 u1 u1)))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 u1 u1) (neg.f32 (-.f32 u1 (*.f32 u1 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 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) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -1/2 binary32))
(pow.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal -2 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))
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(/.f32 (fma.f32 (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2)) (.f32 (.f32 u2 u2) u2) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)) (-.f32 (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (.f32 (.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal -314159265359/50000000000 binary32)) (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2)) (.f32 (*.f32 u2 u2) u2) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal -314159265359/50000000000 binary32)) (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2)) (.f32 (*.f32 u2 u2) u2) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))))
(-.f32 (/.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal -314159265359/50000000000 binary32))) (/.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal -314159265359/50000000000 binary32))))
(fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))
(fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(fma.f32 u2 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) #s(literal 314159265359/50000000000 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal -314159265359/50000000000 binary32)) (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u2 u2) #s(literal 98696044010906577398881/2500000000000000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (.f32 #s(literal -29809099333463868435850655281066427743141737003780143629470412930618984142522471218210811487960664466639/421875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2)) (.f32 (*.f32 u2 u2) u2) #s(literal 31006276680305942139213528068663279/125000000000000000000000000000000 binary32))) #s(literal -1 binary32))
(+.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
(+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(*.f32 (pow.f32 u2 #s(literal 3/2 binary32)) (pow.f32 u2 #s(literal 3/2 binary32)))
(.f32 (.f32 u2 u2) u2)
(.f32 u2 (.f32 u2 u2))
(pow.f32 (exp.f32 (log.f32 u2)) #s(literal 3 binary32))
(pow.f32 (pow.f32 u2 #s(literal 3/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 u2 u2) #s(literal 3/2 binary32))
(pow.f32 u2 #s(literal 3 binary32))
(exp.f32 (*.f32 (log.f32 u2) #s(literal 3 binary32)))

eval99.0ms (0.7%)

Memory: -23.6MiB live, 215.5MiB allocated
Compiler: Compiled 26 818 to 2 985 computations (88.9% saved)

prune389.0ms (2.8%)

Memory

-9.7MiB live, 525.6MiB allocated

Pruning

68 alts after pruning (61 fresh and 7 done)

	Pruned	Kept	Total
New	1 060	34	1 094
Fresh	24	27	51
Picked	2	3	5
Done	0	4	4
Total	1 086	68	1 154

Accuracy

99.9%

Counts

1 154 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	98.2%	(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.3%	(.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.4%	(.f32 (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sqrt.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1))) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	98.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) u1)))
	85.3%	(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	90.0%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.4%	(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.8%	(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.1%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
	94.2%	#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
	89.5%	#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
	89.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
	94.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
	89.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 (sqrt.f32 u1) u1))))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 u2 u2))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
	89.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
	89.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) u1))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	89.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))
✓	89.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	89.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) (.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2))) u2))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
	92.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
	4.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))) u2))
	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
	91.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) u2))
	67.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	91.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))))))
✓	81.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	76.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	71.8%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	79.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
	69.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	81.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
	67.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
	69.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
✓	63.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	63.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
	94.1%	#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))) u2))
	98.4%	#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	81.2%	#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))

Compiler

Compiled 4 023 to 1 392 computations (65.4% saved)

regimes411.0ms (2.9%)

Memory

11.2MiB live, 407.7MiB allocated

Counts

133 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
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(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 (.f32 u1 u1) u1) (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (fma.f32 u1 u1 u1) #s(literal 1 binary32))) (pow.f32 (/.f32 #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))) #s(literal -1 binary32)) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 u1 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal 1 binary32))))) (exp.f32 (log1p.f32 (fma.f32 u1 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

(*.f32 (sqrt.f32 (/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Calls

8 calls:

73.0ms	u2
66.0ms	u1
57.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
48.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
47.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
98.6%	1	`cosTheta_i`
98.6%	1	`u1`
98.6%	1	`u2`
98.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes339.0ms (2.4%)

Memory

11.7MiB live, 374.5MiB allocated

Counts

119 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
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(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (- 1 u1) u1) (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(.f32 (.f32 (sqrt.f32 #s(approx (/ -1 (- u1 1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1))) u1)) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) #s(approx (+ (* (+ (* u1 u1) u1) u1) u1) (fma.f32 (.f32 (.f32 u1 u1) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (fma.f32 u1 u1 u1) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (-.f32 (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (-.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 (sqrt.f32 u1) u1)))
(.f32 (/.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (+.f32 #s(literal 0 binary32) (.f32 (/.f32 u1 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

59.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
50.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
49.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
43.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
39.0ms	u2

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes192.0ms (1.4%)

Memory

-20.8MiB live, 376.3MiB allocated

Counts

87 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
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(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))) u2))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (fma.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

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

Calls

8 calls:

25.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
23.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
23.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
94.2%	1	`cosTheta_i`
98.2%	2	`u1`
98.4%	2	`u2`
94.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes116.0ms (0.8%)

Memory

19.5MiB live, 217.7MiB allocated

Counts

85 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) (.f32 (.f32 (-.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 u2 u2))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))) u2))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ (- ( 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1))) (fma.f32 u1 u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 #s(approx (/ -1 (- u1 1)) (+.f32 #s(literal 1 binary32) u1)) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2))) u2))

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

Calls

5 calls:

22.0ms	u2
22.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	u1
22.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.6%	2	`u1`
97.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
97.9%	2	`u2`
97.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes181.0ms (1.3%)

Memory

-1.7MiB live, 400.9MiB allocated

Counts

82 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 #s(literal 1 binary32) (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 u2 u2))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u1) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2))) u2))

Outputs

#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (*.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2))) u2))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
94.2%	1	`cosTheta_i`
94.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
94.2%	1	`u1`
94.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`u2`
94.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes266.0ms (1.9%)

Memory

-26.7MiB live, 371.2MiB allocated

Counts

78 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (fma.f32 (sqrt.f32 (.f32 (*.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (.f32 (.f32 (-.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) u2) (.f32 u2 u2))) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (/.f32 #s(literal -1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 u2 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 u2)) (*.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))

Calls

8 calls:

51.0ms	u1
39.0ms	cosTheta_i
39.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
94.2%	1	`u2`
94.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
94.2%	1	`cosTheta_i`
94.2%	1	`u1`
94.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes374.0ms (2.7%)

Memory

14.0MiB live, 336.3MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) u2) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u2 (/.f32 (sqrt.f32 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (/.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (.f32 (-.f32 (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (/.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))) (.f32 (.f32 u2 u2) (.f32 u2 u2))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal -314159265359/50000000000 binary32))) (.f32 (.f32 (.f32 (.f32 u2 u2) u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))) u2))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (fma.f32 u2 (fma.f32 (*.f32 (*.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))

Calls

8 calls:

66.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
59.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
59.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
49.0ms	u1
40.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes164.0ms (1.2%)

Memory

4.4MiB live, 206.7MiB allocated

Counts

45 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))

Calls

8 calls:

28.0ms	u1
27.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
92.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.1%	1	`cosTheta_i`
92.1%	1	`u1`
92.1%	1	`u2`
92.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
92.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes199.0ms (1.4%)

Memory

-3.9MiB live, 195.6MiB allocated

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 u2 (fma.f32 #s(literal 314159265359/100000000000 binary32) (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (*.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (/.f32 u1 (sqrt.f32 (-.f32 u1 (.f32 u1 u1)))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (fma.f32 u2 #s(approx (+ ( (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) u2) (.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx ( (sqrt (/ u1 (- 1 u1))) (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 u1 (.f32 u1 u1)))) u1) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))

Outputs

#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))

Calls

8 calls:

42.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
35.0ms	cosTheta_i
33.0ms	u2
29.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
89.5%	1	`cosTheta_i`
89.5%	1	`u1`
89.5%	1	`u2`
89.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes116.0ms (0.8%)

Memory

14.3MiB live, 134.8MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))

Calls

8 calls:

47.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms	u2
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes251.0ms (1.8%)

Memory

-23.5MiB live, 136.4MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Calls

8 calls:

58.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
56.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
53.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
51.0ms	cosTheta_i
9.0ms	u1

Results

Accuracy	Segments	Branch
89.3%	1	`cosTheta_i`
89.3%	1	`u1`
89.3%	1	`u2`
89.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes207.0ms (1.5%)

Memory

10.1MiB live, 128.3MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 u1) (.f32 u2 (/.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u1))) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))

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

Calls

8 calls:

62.0ms	u1
54.0ms	u2
54.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
81.3%	1	`cosTheta_i`
86.1%	2	`u1`
81.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
86.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.0%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.0%	2	`u2`
86.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes34.0ms (0.2%)

Memory

0.6MiB live, 42.0MiB allocated

Counts

18 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (/.f32 (sqrt.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (-.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 #s(approx (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2))

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

Calls

3 calls:

22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	u1

Results

Accuracy	Segments	Branch
86.1%	2	`u1`
86.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes76.0ms (0.5%)

Memory

-6.4MiB live, 72.7MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (*.f32 (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))

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

Calls

6 calls:

34.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
21.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
5.0ms	u1
5.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
86.0%	2	`u2`
86.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
86.0%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.0%	2	`u1`
86.0%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.0%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes65.0ms (0.5%)

Memory

-10.4MiB live, 71.2MiB allocated

Counts

15 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (/.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))))

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

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

Calls

6 calls:

22.0ms	u2
5.0ms	u1
5.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
81.3%	1	`u2`
81.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
81.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.5%	2	`u1`
84.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
84.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes39.0ms (0.3%)

Memory

31.8MiB live, 71.5MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))

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

Calls

8 calls:

13.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
81.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
81.3%	1	`cosTheta_i`
81.3%	1	`u2`
81.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
81.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
81.3%	1	`u1`
81.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
81.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes47.0ms (0.3%)

Memory

-15.7MiB live, 63.6MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))

Outputs

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

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Calls

8 calls:

22.0ms	u2
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
74.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.9%	1	`u1`
78.0%	2	`u2`
74.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
78.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.9%	1	`cosTheta_i`
74.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes62.0ms (0.4%)

Memory

-22.7MiB live, 57.9MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Outputs

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

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (*.f32 (*.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Calls

8 calls:

23.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
3.0ms	u1
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
71.8%	1	`u1`
71.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
71.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
71.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
71.8%	1	`cosTheta_i`
71.8%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
75.0%	2	`u2`
75.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes5.0ms (0%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))

Outputs

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

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (*.f32 (*.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1))))

Calls

2 calls:

2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	u2

Results

Accuracy	Segments	Branch
75.0%	2	`u2`
75.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes32.0ms (0.2%)

Memory

-13.5MiB live, 26.1MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

27.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
2.0ms	u2

Results

Accuracy	Segments	Branch
71.8%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
71.8%	1	`u2`
71.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes16.0ms (0.1%)

Memory

12.4MiB live, 52.1MiB allocated

Accuracy

Total -0.1b remaining (-0.6%)

Threshold costs -0.1b (-0.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
63.5%	1	`u2`
63.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.5%	1	`cosTheta_i`
63.5%	1	`u1`
63.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.22109980881214142	0.29119500517845154

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7874751091003418	0.867534875869751

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2395315707180998e-6	1.6489536847075215e-6

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2395315707180998e-6	1.6489536847075215e-6

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2395315707180998e-6	1.6489536847075215e-6

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.2395315707180998e-6	1.6489536847075215e-6

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.021269895136356354	0.027949288487434387

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0077719311229884624	0.009715898893773556

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0077719311229884624	0.009715898893773556

Compiler

Compiled 17 to 17 computations (0% saved)

simplify109.0ms (0.8%)

Memory

-6.4MiB live, 73.6MiB allocated

Algorithm

1×	egg-herbie

Rules

902×	`distribute-lft-neg-in_binary32`
438×	`cancel-sign-sub_binary32`
408×	`neg-mul-1_binary32`
400×	`neg-sub0_binary32`
302×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	1057
1	224	1057
2	236	1057
3	252	1057
4	293	1057
5	366	1057
6	453	1057
7	539	1057
8	606	1057
9	715	1057
10	963	1057
11	1265	1057
12	1590	1057
13	1877	1057
14	2041	1057
15	2108	1057
16	2147	1057
17	2178	1057
18	2195	1057
19	2207	1057
20	2219	1057
21	2229	1057
22	2232	1057

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1/4 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) #s(approx ( (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (* (* u2 u2) u2) u2)) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) (fma.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u2))
#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2)) #s(approx ( (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/536870912 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))

Outputs
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (-.f32 #s(literal 1 binary32) u1)) (.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) u1) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) #s(literal 0 binary32))) (.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 1/4 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 1/4 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) #s(approx ( (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 13421773/16777216 binary32)) #s(approx ( (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (.f32 u2 u2))) u2)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
#s(approx (* (* (sqrt (sqrt (/ u1 (- 1 u1)))) (sqrt (sqrt (/ u1 (- 1 u1))))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (.f32 u2 u2))) u2))
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#s(approx (* (sqrt (/ (- (* 0 (/ (- u1 1) u1)) (- 1 u1)) (* (- 1 u1) (/ (- u1 1) u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
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#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2)) #s(approx ( (sqrt (/ 1 (/ (- u1 (* u1 u1)) (* u1 u1)))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
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(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 u1))) u2)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 #s(approx (/ (+ ( u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)))) u2)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (/ (+ (* u2 (+ (* (* (* u2 u2) u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2))) 314159265359/50000000000) (sqrt (/ (- 1 u1) u1))) u2) (.f32 (.f32 (fma.f32 (.f32 (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 3298535/2199023255552 binary32)) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) u2) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/536870912 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 13421773/536870912 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2) (sqrt.f32 u1)))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 8589935/1073741824 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (* (sqrt (/ u1 (- 1 u1))) (+ (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2) u2) 314159265359/50000000000)) u2) (.f32 (sqrt.f32 u1) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (* u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 u1) u2) #s(literal 314159265359/50000000000 binary32))))

soundness2.0s (14.1%)

Memory

-2.0MiB live, 1 790.1MiB allocated

Rules

23 718×	`lower-fma.f64`
23 718×	`lower-fma.f32`
19 410×	`lower-fma.f64`
19 410×	`lower-fma.f32`
12 916×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	922
1	550	831
2	1628	759
3	4996	709
0	8071	683
0	398	7045
1	1281	6450
2	4784	5798
0	8843	5505
0	458	5161
1	1401	4677
2	5085	4179
0	8101	3996
0	54	341
0	89	301
1	288	286
2	2094	286
0	8422	286
0	55	355
0	89	327
1	312	296
2	2277	296
0	8304	296
0	544	8054
1	1809	7313
2	7015	6569
0	8149	6171
0	39	228
0	65	184
1	186	172
2	1246	150
0	9090	150
0	10	28
0	16	28
1	46	28
2	237	28
3	1953	28
0	9692	28

Stop Event

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

Compiler

Compiled 1 032 to 401 computations (61.1% saved)

preprocess154.0ms (1.1%)

Memory

13.1MiB live, 368.5MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 2 618 to 988 computations (62.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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	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

start0.0ms (0%)

analyze258.0ms (1.8%)

sample1.9s (13.6%)

explain112.0ms (0.8%)

preprocess52.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0%)

localize36.0ms (0.3%)

series9.0ms (0.1%)

simplify230.0ms (1.6%)

rewrite156.0ms (1.1%)

eval82.0ms (0.6%)

prune180.0ms (1.3%)

simplify181.0ms (1.3%)

localize176.0ms (1.3%)

series33.0ms (0.2%)

simplify223.0ms (1.6%)

rewrite279.0ms (2%)

eval459.0ms (3.3%)

prune901.0ms (6.4%)

simplify239.0ms (1.7%)

localize210.0ms (1.5%)

series40.0ms (0.3%)

simplify283.0ms (2%)

rewrite398.0ms (2.8%)

eval210.0ms (1.5%)

prune478.0ms (3.4%)

simplify250.0ms (1.8%)

localize232.0ms (1.7%)

series60.0ms (0.4%)

simplify226.0ms (1.6%)

rewrite185.0ms (1.3%)

eval99.0ms (0.7%)

prune389.0ms (2.8%)

regimes411.0ms (2.9%)

regimes339.0ms (2.4%)

regimes192.0ms (1.4%)

regimes116.0ms (0.8%)

regimes181.0ms (1.3%)

regimes266.0ms (1.9%)

regimes374.0ms (2.7%)

regimes164.0ms (1.2%)

regimes199.0ms (1.4%)

regimes116.0ms (0.8%)

regimes251.0ms (1.8%)

regimes207.0ms (1.5%)

regimes34.0ms (0.2%)

regimes76.0ms (0.5%)

regimes65.0ms (0.5%)

regimes39.0ms (0.3%)

regimes47.0ms (0.3%)

regimes62.0ms (0.4%)

regimes5.0ms (0%)

regimes32.0ms (0.2%)

regimes16.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify109.0ms (0.8%)

soundness2.0s (14.1%)

preprocess154.0ms (1.1%)

end0.0ms (0%)

Profiling

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