Metrics for Trowbridge-Reitz Sample, near normal, slope

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze260.0ms (2.2%)

Memory

17.2MiB live, 734.9MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.8s (15.6%)

Memory

-72.8MiB live, 2 122.8MiB allocated

Samples

1.4s	8 256×	0	valid
1.0ms	4×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

const: 649.0ms (53.1% of total)

ival-sin: 118.0ms (9.7% of total)

ival-mult: 108.0ms (8.8% of total)

ival-<=: 101.0ms (8.3% of total)

ival-div: 67.0ms (5.5% of total)

ival-sqrt: 57.0ms (4.7% of total)

ival-sub: 49.0ms (4% of total)

ival-and: 38.0ms (3.1% of total)

ival->: 26.0ms (2.1% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

explain120.0ms (1%)

Memory

-16.0MiB live, 187.2MiB 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

50.0ms

512×

valid

Compiler

Compiled 90 to 37 computations (58.9% saved)

Precisions

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

const: 9.0ms (28.4% of total)

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

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

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

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

ival-sub: 2.0ms (6.3% of total)

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

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

exact: 0.0ms (0% of total)

preprocess65.0ms (0.6%)

Memory

-4.7MiB live, 32.5MiB allocated

Algorithm

1×	egg-herbie

Rules

91×	`associate-l`
81×	`associate-r`
75×	`sub-neg`
74×	`distribute-lft-neg-in`
67×	`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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(.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 (0.1%)

Memory

6.7MiB live, 6.7MiB 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

18×	`lower-+.f64`
18×	`lower-+.f32`
13×	`sub-neg`
13×	`lower--.f64`
12×	`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

localize43.0ms (0.4%)

Memory

-17.0MiB live, 59.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16893258046286383	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.17578125	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.30078125	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

30.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (39.7% of total)

ival-sin: 3.0ms (14.9% of total)

const: 3.0ms (14.9% of total)

ival-div: 2.0ms (9.9% of total)

ival-sqrt: 2.0ms (9.9% of total)

ival-sub: 1.0ms (5% 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

12.2MiB live, 12.2MiB allocated

Counts

6 → 84

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>) () ())
#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.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>) () ())) ())
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#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>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
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#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (sin (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
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#s(alt (sin (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (sin (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())

Calls

21 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)))

simplify231.0ms (2%)

Memory

16.2MiB live, 321.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8 547×	`lower-fma.f64`
8 547×	`lower-fma.f32`
2 852×	`lower-*.f64`
2 852×	`lower-*.f32`
1 636×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1002
1	602	910
2	1736	837
3	5177	784
4	7592	783
0	8372	754

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

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

rewrite226.0ms (2%)

Memory

-3.1MiB live, 316.5MiB allocated

Rules

1 852×	`lower-/.f64`
1 851×	`lower-/.f32`
1 643×	`lower-*.f64`
1 641×	`lower-*.f32`
1 228×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 521

Calls

Call 1

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

eval65.0ms (0.6%)

Memory: 26.6MiB live, 145.1MiB allocated
Compiler: Compiled 16 350 to 2 493 computations (84.8% saved)

prune156.0ms (1.3%)

Memory

-7.8MiB live, 264.7MiB allocated

Pruning

32 alts after pruning (31 fresh and 1 done)

	Pruned	Kept	Total
New	573	31	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	573	32	605

Accuracy

99.7%

Counts

605 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	97.9%	(/.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 (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)))
	97.6%	(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.2%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.6%	(.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 -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 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))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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)))
	98.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	89.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
▶	82.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	86.8%	(.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) (-.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 (.f32 u1 u1) u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.6%	(.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)))
	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)))
	88.6%	(.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)))
	91.2%	(.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)))
▶	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	97.8%	(.f32 (sqrt.f32 u1) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))) #s(literal 1/4 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	88.1%	(.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)))
	75.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
	91.3%	#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 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Compiler

Compiled 1 396 to 913 computations (34.6% saved)

simplify322.0ms (2.8%)

Memory

9.8MiB live, 364.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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)))
cost-diff	64	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
cost-diff	64	(-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
cost-diff	352	(/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(sqrt.f32 (.f32 (.f32 u1 u1) u1))
cost-diff	0	(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
cost-diff	0	(.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)))
cost-diff	0	(fma.f32 u1 u1 u1)
cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
cost-diff	0	(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
cost-diff	0	(.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)))
cost-diff	256	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Rules

14 504×	`lower-fma.f64`
14 501×	`lower-fma.f32`
2 097×	`lower-+.f64`
2 097×	`lower-+.f32`
1 667×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	409
0	76	409
1	119	399
2	235	379
3	651	377
4	2565	355
0	8224	347

Stop Event

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

Calls

Call 1

Inputs
(.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)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(-.f32 u1 #s(literal 1 binary32))
u1
#s(literal 1 binary32)
#s(literal -1/4 binary32)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.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)
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
u2
#s(literal 314159265359/50000000000 binary32)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
u1
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
#s(literal 314159265359/50000000000 binary32)
u2
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (.f32 (.f32 u1 u1) u1))
(.f32 (.f32 u1 u1) u1)
(*.f32 u1 u1)
u1
#s(literal 1/2 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 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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)))
(sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
u1
(/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(-.f32 u1 #s(literal 1 binary32))
#s(literal 1 binary32)
(.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))
(fma.f32 u1 u1 #s(literal 1 binary32))
(*.f32 u1 u1)
(*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(-.f32 #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

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

localize152.0ms (1.3%)

Memory

3.1MiB live, 266.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.31640625	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.35546875	(/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.4453125	(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
accuracy	0.26953125	(.f32 (.f32 u1 u1) u1)
accuracy	0.296875	(.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)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	2.6097902879141115	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
accuracy	0.1611200804628639	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.296875	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.0132774416553945	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	0.171875	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
accuracy	0.296875	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.3203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.1694130326507475	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.1611200804628639	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.296875	(.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)))
accuracy	0.3203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.5270500488422101	(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))

Samples

98.0ms	246×	0	valid
3.0ms	10×	0	invalid

Compiler

Compiled 380 to 37 computations (90.3% saved)

Precisions

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

const: 25.0ms (30.3% of total)

ival-mult: 22.0ms (26.7% of total)

ival-div: 12.0ms (14.5% of total)

ival-sub: 6.0ms (7.3% of total)

ival-sqrt: 6.0ms (7.3% of total)

ival-pow: 4.0ms (4.8% of total)

ival-add: 3.0ms (3.6% of total)

ival-sin: 3.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series160.0ms (1.4%)

Memory

4.1MiB live, 295.7MiB allocated

Counts

25 → 360

Calls

Call 1

Inputs
#s(alt (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (patch (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #<representation binary32>) () ())
#s(alt (.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))) (patch (.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))) #<representation binary32>) () ())
#s(alt (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) (patch (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (patch (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 #s(approx (/ 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 (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (patch (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #<representation binary32>) () ())
#s(alt #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) (patch #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 u1 u1 u1) (patch (fma.f32 u1 u1 u1) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.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))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)) (patch (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 (.f32 (.f32 u1 u1) u1)) (patch (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #<representation binary32>) () ())
#s(alt (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (patch (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (patch (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (patch (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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))) (patch (.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())
#s(alt (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())
#s(alt #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (patch #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #<representation binary32>) () ())
#s(alt (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (patch (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #<representation binary32>) () ())
#s(alt (.f32 (.f32 u1 u1) u1) (patch (.f32 (.f32 u1 u1) u1) #<representation binary32>) () ())

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

90 calls:

Time	Variable		Point	Expression
98.0ms	u1	@	0	(* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2)))
17.0ms	u2	@	0	(* (pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4) (sin (* 314159265359/50000000000 u2)))
15.0ms	u1	@	0	(pow (* (/ (- u1 1) u1) (/ (- u1 1) u1)) -1/4)
2.0ms	u2	@	inf	(* (sqrt (/ u1 (/ (- (* (- u1 1) (- u1 1)) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (/ u1 (/ (- (* (- u1 1) (- u1 1)) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))))) (sin (* 314159265359/50000000000 u2)))

simplify291.0ms (2.5%)

Memory

-25.8MiB live, 425.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
3 317×	`lower-*.f64`
3 317×	`lower-*.f32`
2 499×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	474	5133
1	1434	4636
2	4264	4183
0	8045	3995

Stop Event

1×	iter limit
1×	node limit

Counts

360 → 355

Calls

Call 1

Inputs
(/ 1 (pow u1 2))
(/ (+ 1 (* -2 u1)) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
(/ (+ 1 (* u1 (- u1 2))) (pow u1 2))
1
(- 1 (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
(- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1)))
1
(- 1 (* 2 (/ 1 u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1)))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (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))))
(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)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(* 1/2 (sqrt (pow u1 3)))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* (pow u1 2) (+ (sqrt (/ 1 (pow u1 3))) (* 1/2 (sqrt (/ 1 u1)))))
(* 1/2 (* (sqrt (pow u1 3)) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(sqrt (pow u1 3))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* -2 u1) 1)))
(+ 1 (* u1 (- (* u1 (- (* -2 (pow u1 3)) 2)) 1)))
u1
(* u1 (+ 1 (/ 1 u1)))
(* u1 (+ 1 (+ (/ 1 u1) (/ 2 (pow u1 3)))))
(* u1 (+ 1 (+ (/ 1 u1) (+ (* 2 (/ 1 (pow u1 4))) (/ 2 (pow u1 3))))))
u1
(* u1 (+ 1 (/ 1 u1)))
(* -1 (* u1 (- (* -1 (/ (+ 1 (* 2 (/ 1 (pow u1 2)))) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 (pow u1 2))) (/ 2 (pow u1 3)))) u1)) 1)))
1
(+ 1 (* -2 u1))
(+ 1 (* u1 (- (* -1 (pow u1 3)) 2)))
(+ 1 (* u1 (- (* -1 (pow u1 3)) 2)))
(* -1 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1 (* 2 (/ 1 (pow u1 3))))))
(* (pow u1 4) (- (/ 1 (pow u1 4)) (+ 1 (* 2 (/ 1 (pow u1 3))))))
(* (pow u1 4) (- (/ 1 (pow u1 4)) (+ 1 (* 2 (/ 1 (pow u1 3))))))
(* -1 (pow u1 4))
(* -1 (* (pow u1 4) (+ 1 (* 2 (/ 1 (pow u1 3))))))
(* (pow u1 4) (- (* -1 (/ (- 2 (/ 1 u1)) (pow u1 3))) 1))
(* (pow u1 4) (- (* -1 (/ (- 2 (/ 1 u1)) (pow u1 3))) 1))
1
(+ 1 (* -2 u1))
(+ 1 (* u1 (- u1 2)))
(+ 1 (* u1 (- u1 2)))
(pow u1 2)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(* (pow u1 2) (- (+ 1 (/ 1 (pow u1 2))) (* 2 (/ 1 u1))))
(pow u1 2)
(* (pow u1 2) (- 1 (* 2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) u1))))
(* (pow u1 2) (+ 1 (* -1 (/ (- 2 (/ 1 u1)) 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 (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt 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)) (- 5 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2)))))
(+ (sin (* 314159265359/50000000000 u2)) (+ (* -21/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))))))
(* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))
(+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 3 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) u1))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2))))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))))))))))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (* (+ 1 (pow u1 2)) (- 1 u1))) (- (pow (- u1 1) 2) (* (pow u1 2) (+ 1 (pow u1 2)))))) (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)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(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)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)
(pow u1 3)

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

rewrite232.0ms (2%)

Memory

-5.8MiB live, 346.9MiB allocated

Rules

2 621×	`lower-/.f64`
2 617×	`lower-/.f32`
1 890×	`lower-*.f64`
1 877×	`lower-*.f32`
1 473×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	276
0	76	246
1	227	235
2	1628	235
0	8133	232

Stop Event

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

Counts

25 → 696

Calls

Call 1

Inputs
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(.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)))
(pow.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) #s(literal -1/4 binary32))
(/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.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 #s(literal 1 binary32) u1)
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
(fma.f32 u1 u1 u1)
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))
(sqrt.f32 (.f32 (.f32 u1 u1) u1))
(/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))
(-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (*.f32 u1 u1)))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 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 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 u1 u1) u1)

Outputs
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (sqrt.f32 u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.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) u1) (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) u1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (+.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 u1 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)) (/.f32 (/.f32 #s(literal 1 binary32) u1) (sqrt.f32 u1)))
(.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (sqrt.f32 u1)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (sqrt.f32 u1)))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (exp.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) (exp.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)))))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1) (-.f32 u1 #s(literal 1 binary32)))
(.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (neg.f32 u1)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
(*.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u1)) #s(literal 2 binary32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 1 binary32)))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) u1))
(.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))
(.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(.f32 #s(literal 1 binary32) (.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (*.f32 u1 u1))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))) (neg.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (neg.f32 (.f32 (neg.f32 u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))))) (neg.f32 (neg.f32 u1)))
(/.f32 (neg.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))) (neg.f32 (neg.f32 (.f32 u1 u1))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (.f32 (neg.f32 u1) u1)))
(/.f32 (neg.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 u1 (neg.f32 u1))))
(/.f32 (neg.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (neg.f32 (.f32 u1 (/.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 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1)))
(/.f32 (neg.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (exp.f32 (log.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))))) u1)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)) (neg.f32 u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1)) (neg.f32 u1))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (.f32 (neg.f32 u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 u1))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (neg.f32 (.f32 u1 u1)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32))) (.f32 (neg.f32 u1) u1))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 (neg.f32 u1)))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32))) (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1))
(/.f32 (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) u1)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 u1 u1))
(/.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 u1) (*.f32 (-.f32 #s(literal 1 binary32) u1) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 u1) (*.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (neg.f32 u1)) (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 u1) u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (neg.f32 u1)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) u1) (.f32 #s(literal 1 binary32) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (/.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 u1 (-.f32 u1 #s(literal 1 binary32)))))
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1)))) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 2 binary32)) (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))))
(pow.f32 (/.f32 (.f32 u1 u1) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal -2 binary32))
(pow.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (/.f32 (-.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1))) #s(literal 1 binary32))
(pow.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 2 binary32))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal 2 binary32)))
(.f32 (.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)))
(.f32 (pow.f32 (/.f32 u1 (-.f32 u1 #s(literal 1 binary32))) #s(literal 1/2 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(*.f32 (pow.f32 (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 (/.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 u1 #s(literal 1 binary32))) #s(literal -1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))
(.f32 (pow.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal -1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1/4 binary32)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1/2 binary32)) (pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1/2 binary32)))
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(/.f32 (+.f32 (pow.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (-.f32 (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32))) (.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (neg.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))) (neg.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))))
(/.f32 (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32))) (.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (.f32 (-.f32 u1 #s(literal 1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u1) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (-.f32 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (.f32 (fma.f32 (*.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32)) (fma.f32 (+.f32 #s(literal 1 binary32) u1) u1 #s(literal 1 binary32))) (.f32 (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) u1 #s(literal -1 binary32)))))
(fma.f32 (-.f32 u1 #s(literal 1 binary32)) u1 (*.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(fma.f32 u1 (-.f32 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(pow.f32 (exp.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32)))) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 2 binary32))
(pow.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal 2 binary32))
(+.f32 (*.f32 u1 (-.f32 u1 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(+.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) u1) (.f32 (-.f32 u1 #s(literal 1 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (-.f32 u1 #s(literal 1 binary32))) #s(literal 2 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 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 (.f32 (/.f32 u1 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1))) (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 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 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.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 (sqrt.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1)))) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 (*.f32 u1 u1) u1))
(.f32 (.f32 (sqrt.f32 u1) u1) (*.f32 (sqrt.f32 u1) u1))
(.f32 (.f32 (*.f32 u1 u1) u1) (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)))
(.f32 (.f32 (*.f32 u1 u1) u1) #s(literal 1 binary32))
(.f32 (.f32 u1 u1) u1)
(.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))
(.f32 u1 (.f32 u1 u1))
(sqrt.f32 (.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (*.f32 u1 u1)))
(pow.f32 (.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (*.f32 u1 u1)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 u1) #s(literal 6 binary32))
(pow.f32 (*.f32 (sqrt.f32 u1) u1) #s(literal 2 binary32))
(pow.f32 (.f32 (.f32 u1 u1) u1) #s(literal 1 binary32))
(pow.f32 (*.f32 u1 u1) #s(literal 3/2 binary32))
(pow.f32 u1 #s(literal 3 binary32))
(exp.f32 (fma.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32) (.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32) (.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (fma.f32 (.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 (*.f32 (log.f32 u1) #s(literal 1/2 binary32)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32) (.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)) #s(literal 1/2 binary32))))
(exp.f32 (.f32 (.f32 (log.f32 u1) #s(literal 2 binary32)) #s(literal 3/2 binary32)))
(exp.f32 (*.f32 (log.f32 u1) #s(literal 3 binary32)))

eval202.0ms (1.7%)

Memory: 22.9MiB live, 273.0MiB allocated
Compiler: Compiled 40 338 to 4 443 computations (89% saved)

prune348.0ms (3%)

Memory

-4.4MiB live, 347.8MiB allocated

Pruning

56 alts after pruning (53 fresh and 3 done)

	Pruned	Kept	Total
New	1 258	37	1 295
Fresh	10	16	26
Picked	3	2	5
Done	0	1	1
Total	1 271	56	1 327

Accuracy

99.8%

Counts

1 327 → 56

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	82.0%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	97.9%	(/.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))))))
	82.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	89.1%	(.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)) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	85.9%	(.f32 (pow.f32 (exp.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) #s(literal 1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	85.3%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
	82.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	97.9%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.2%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	82.1%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	98.3%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	74.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) #s(approx (- 1 u1) #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	89.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	82.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	85.6%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- ( (- u1 1) (- u1 1)) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	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)))
	78.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	91.2%	(.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)))
	76.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	74.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (.f32 u1 u1) (.f32 (.f32 u1 u1) u1)) (-.f32 (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1) (.f32 (.f32 u1 u1) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (sqrt.f32 u1) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	97.8%	(.f32 (sqrt.f32 u1) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
	88.1%	(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))
	85.9%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	80.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	74.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) u1)) u1) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1)) (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	88.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (-.f32 (.f32 #s(literal 1/4 binary32) (.f32 (.f32 u1 u1) u1)) u1) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1)) (sqrt.f32 u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	75.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	73.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( (sqrt (* (* u1 u1) u1)) 1/2) (sqrt u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
	93.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.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 (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))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
	91.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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))
	91.3%	#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 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
	89.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Compiler

Compiled 2 494 to 1 530 computations (38.7% saved)

simplify190.0ms (1.6%)

Memory

-2.7MiB live, 71.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1)))))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	320	(fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))
cost-diff	704	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))
cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	0	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))
cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
cost-diff	0	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
cost-diff	0	(sqrt.f32 u1)
cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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))) (/.f32 #s(literal 1 binary32) u1)))
cost-diff	0	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
cost-diff	704	(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))

Rules

488×	`lower-fma.f64`
487×	`lower-fma.f32`
418×	`lower-*.f64`
409×	`lower-*.f32`
248×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	284
0	59	272
1	86	266
2	131	263
3	190	263
4	250	260
5	315	260
6	376	260
7	450	260
8	576	260
9	680	260
10	819	260
11	979	260
12	1309	260
13	1717	260
14	1934	260
15	2534	260
16	2784	260
17	2813	260
18	2862	260
19	2923	260
20	2937	260
21	2951	260
22	3009	260
23	3055	260
24	3079	260
25	3181	260
26	3241	260
27	3254	260
28	3258	260
29	3264	260
30	3266	260
31	3266	260
0	3266	255

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize211.0ms (1.8%)

Memory

-24.3MiB live, 185.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.296875	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))
accuracy	0.30078125	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	3.4652589587050358	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (*.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1)))))
accuracy	0.16893258046286386	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.30078125	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	7.70391219962414	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.30078125	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.33203125	(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.421208381007837	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.30078125	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	5.421208381007837	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	7.70391219962414	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
accuracy	0.16893258046286386	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
accuracy	0.30078125	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
accuracy	0.33203125	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
accuracy	0.40462875976844204	(/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))

Samples

95.0ms

256×

valid

Compiler

Compiled 235 to 32 computations (86.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 23.0ms (42.3% of total)

ival-mult: 11.0ms (20.2% of total)

ival-sqrt: 6.0ms (11% of total)

ival-sub: 5.0ms (9.2% of total)

const: 4.0ms (7.4% of total)

ival-sin: 3.0ms (5.5% of total)

ival-add: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory

19.4MiB live, 19.4MiB allocated

Counts

20 → 300

Calls

Call 1

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

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

75 calls:

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

simplify328.0ms (2.8%)

Memory

12.7MiB live, 312.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 428×	`lower-fma.f64`
6 428×	`lower-fma.f32`
2 888×	`lower-*.f64`
2 888×	`lower-*.f32`
1 901×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	4729
1	1070	4314
2	3356	3915
3	7362	3912
0	8157	3734

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 299

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

rewrite365.0ms (3.2%)

Memory

-12.8MiB live, 352.3MiB allocated

Rules

2 762×	`lower-fma.f64`
2 761×	`lower-fma.f32`
2 388×	`lower-*.f64`
2 379×	`lower-*.f32`
1 872×	`lower-/.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	59	189
1	173	166
2	973	166
0	8473	166

Stop Event

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

Counts

20 → 1 032

Calls

Call 1

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

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

eval224.0ms (1.9%)

Memory: 15.3MiB live, 278.0MiB allocated
Compiler: Compiled 35 354 to 3 892 computations (89% saved)

prune389.0ms (3.4%)

Memory

44.5MiB live, 712.2MiB allocated

Pruning

64 alts after pruning (58 fresh and 6 done)

	Pruned	Kept	Total
New	1 534	31	1 565
Fresh	21	27	48
Picked	2	3	5
Done	0	3	3
Total	1 557	64	1 621

Accuracy

99.8%

Counts

1 621 → 64

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.1%	(/.f32 (/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
▶	82.0%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
▶	98.3%	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	82.3%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	97.9%	(/.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))))))
	82.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))))
	98.0%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	81.9%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	82.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
▶	82.2%	(.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	93.2%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	88.8%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
▶	98.1%	(.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))
	74.4%	(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	78.2%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	77.0%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.7%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	98.3%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	85.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)))) (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	89.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	82.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	85.6%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- ( (- u1 1) (- u1 1)) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	96.1%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ (/ -1 (- u1 1)) (/ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	76.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
▶	74.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (.f32 u1 u1) (.f32 (.f32 u1 u1) u1)) (-.f32 (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1) (.f32 (.f32 u1 u1) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (.f32 (fma.f32 u1 u1 u1) (-.f32 (.f32 u1 u1) u1)) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.0%	(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 u1))))
	97.7%	(.f32 (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	80.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	87.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 u1) u1) (sqrt.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	86.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (exp.f32 (log.f32 (.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 #s(literal 1/4 binary32) u1) #s(literal -1 binary32))) (-.f32 (.f32 (.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 u1) u1)) u1) (.f32 u1 u1)) (.f32 (sqrt.f32 u1) u1))) (fma.f32 (fma.f32 u1 (.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) u1 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32)) (sqrt.f32 u1))) (.f32 u1 (fma.f32 u1 (.f32 #s(literal 1/4 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	75.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	70.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
	69.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
✓	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	88.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (/ 1 (/ 1 (+ ( 1/2 (* (sqrt u1) u1)) (sqrt u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.4%	#s(approx (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.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 (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))
	91.4%	#s(approx (* (* (sqrt (/ 1 (- 1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2))) (.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))
	89.1%	#s(approx (* (* (sqrt (/ 1 (- 1 u1))) (sqrt 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))
	92.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 #s(literal 1/2 binary32) (fma.f32 (.f32 u1 (sqrt.f32 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (.f32 u1 u1) (.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1))))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
	91.3%	#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 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Compiler

Compiled 2 752 to 1 717 computations (37.6% saved)

simplify326.0ms (2.8%)

Memory

20.2MiB live, 245.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

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

Rules

10 641×	`lower-fma.f64`
10 640×	`lower-fma.f32`
1 837×	`lower-*.f64`
1 829×	`lower-*.f32`
1 125×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	283
0	63	283
1	92	283
2	129	283
3	162	283
4	188	283
5	244	283
6	337	283
7	601	283
8	1120	283
9	1901	283
10	3008	283
11	3912	283
12	4899	283
13	5606	283
14	6034	283
15	6506	283
16	7526	283
17	7859	283
0	8002	283

Stop Event

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

Calls

Call 1

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

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

localize169.0ms (1.5%)

Memory

-25.4MiB live, 296.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.16893258046286386	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.33822250976844204	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.37890625	(.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))
accuracy	0.30078125	(.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.33984375	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))))
accuracy	5.421208381007836	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.2578125	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	0.3717575195368841	(.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	5.421208381007836	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.30078125	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
accuracy	3.9152823037616526	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
accuracy	5.421208381007836	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.140625	(sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
accuracy	0.16893258046286386	(sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))
accuracy	0.31869125976844204	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
accuracy	0.33203125	(*.f32 u2 #s(literal 314159265359/50000000000 binary32))

Samples

69.0ms

256×

valid

Compiler

Compiled 243 to 37 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

ival-mult: 14.0ms (27.9% of total)

ival-sqrt: 11.0ms (21.9% of total)

ival-div: 9.0ms (17.9% of total)

ival-sin: 6.0ms (11.9% of total)

ival-sub: 5.0ms (9.9% of total)

const: 4.0ms (8% of total)

ival-add: 1.0ms (2% of total)

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

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

exact: 0.0ms (0% of total)

series30.0ms (0.3%)

Memory

24.8MiB live, 64.1MiB allocated

Counts

19 → 312

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
4.0ms	u1	@	0	(/ (sqrt u1) (sqrt (- 1 (* u1 u1))))
1.0ms	u2	@	inf	(/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1)))
1.0ms	u2	@	inf	(* (* (/ (sqrt u1) (sqrt (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1)))
1.0ms	u2	@	0	(* (* (/ (sqrt u1) (sqrt (- 1 (* u1 u1)))) (sqrt (- u1 -1))) (sin (* 314159265359/50000000000 u2)))

simplify249.0ms (2.2%)

Memory

-2.6MiB live, 385.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 071×	`lower-fma.f64`
7 071×	`lower-fma.f32`
3 747×	`lower-*.f64`
3 747×	`lower-*.f32`
1 951×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	525	5371
1	1607	4824
2	4896	4426
0	8113	4215

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 310

Calls

Call 1

Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 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)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(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)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* (sqrt u1) (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)))
(* (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) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 314159265359/50000000000 (sqrt u1))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt u1)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt u1))))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(sqrt u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* (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)) (- 1 (pow u1 2)))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))))))))))
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(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- 1 (pow u1 2)))) (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)))))
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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))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
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(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 5))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (sqrt (pow u1 3))))))
(+ (sqrt u1) (* (pow u1 3) (+ (* 1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (sqrt -1)))) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 9))) (/ 1 (pow (sqrt -1) 3)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (pow (sqrt -1) 3))
(+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1)))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* 1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))))) (pow u1 3))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 3)))
(* (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)))
(sin (* 314159265359/50000000000 u2))
(+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (* u1 (sin (* 314159265359/50000000000 u2)))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 3/8 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 1/2 (sin (* 314159265359/50000000000 u2))))))
(+ (sin (* 314159265359/50000000000 u2)) (* u1 (+ (* 1/2 (sin (* 314159265359/50000000000 u2))) (* u1 (+ (* 5/16 (* u1 (sin (* 314159265359/50000000000 u2)))) (* 3/8 (sin (* 314159265359/50000000000 u2))))))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
1
(+ 1 u1)
(+ 1 (* u1 (+ 1 u1)))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))

Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
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(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2))))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (/.f32 (fma.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (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)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (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)))) (fma.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (* (sqrt -1) (+ 1 (* -1/4 u1))))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) u1)) (.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- 1 u1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1))))))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1)))))))))
(.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.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 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32))) u2)
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- 1 u1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- 1 u1))))))))))
(.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- 1 u1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 u1))
(fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (fma.f32 (.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal 1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (*.f32 u1 u1) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 5 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/4 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1))) (.f32 (.f32 u1 u1) u1)) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1))) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
1
#s(literal 1 binary32)
(+ 1 u1)
(+.f32 u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 u1)))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(+ 1 (* u1 (+ 1 (* u1 (+ 1 u1)))))
(fma.f32 (fma.f32 (+.f32 u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32)) u1 #s(literal 1 binary32))
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1)
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1))) u1)
(/.f32 (.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 u1)) u1))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1)
(* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1))
(/.f32 (+.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))) u1)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))) u1))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32)) u1) #s(literal 1 binary32)) u1))) u1)

rewrite162.0ms (1.4%)

Memory

-15.7MiB live, 340.0MiB allocated

Rules

2 021×	`lower-/.f64`
2 016×	`lower-/.f32`
1 990×	`lower-*.f64`
1 982×	`lower-*.f32`
1 579×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	188
0	63	176
1	190	166
2	1041	164
0	8528	159

Stop Event

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

Counts

19 → 595

Calls

Call 1

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

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

eval102.0ms (0.9%)

Memory: -1.4MiB live, 244.6MiB allocated
Compiler: Compiled 20 677 to 2 326 computations (88.8% saved)

prune320.0ms (2.8%)

Memory

38.5MiB live, 545.3MiB allocated

Pruning

76 alts after pruning (67 fresh and 9 done)

	Pruned	Kept	Total
New	1 027	30	1 057
Fresh	16	37	53
Picked	2	3	5
Done	0	6	6
Total	1 045	76	1 121

Accuracy

99.9%

Counts

1 121 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	82.0%	(/.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
	93.1%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	88.8%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
✓	82.0%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	82.0%	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	97.2%	(/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u1) #s(literal 1/4 binary32)) (pow.f32 u1 #s(literal 1/4 binary32)))))
✓	98.3%	(/.f32 (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	96.0%	(/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (exp.f32 (.f32 (log.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(literal 1/2 binary32))))
	90.9%	(/.f32 #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 u2 u2) (*.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.1%	(/.f32 #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (sqrt.f32 u1) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	81.9%	(/.f32 #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	93.4%	(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 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) #s(literal 1 binary32))))
	91.3%	(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (.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 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	89.0%	(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	82.3%	(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	82.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.0%	(.f32 (/.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	81.9%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	82.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	93.2%	(.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (-.f32 u1 #s(literal -1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	97.5%	(.f32 (.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))) (sqrt.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))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
	93.2%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	82.1%	(.f32 (.f32 (sqrt.f32 (-.f32 u1 #s(literal -1 binary32))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (/.f32 (neg.f32 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
	87.7%	(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
	74.4%	(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	78.2%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	77.0%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	74.7%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	88.0%	(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))
✓	98.3%	(.f32 (sqrt.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	89.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
✓	82.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	85.6%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (/ (- ( (- u1 1) (- u1 1)) (* (+ (* u1 u1) 1) (* u1 u1))) (* (+ (* u1 u1) 1) (- 1 u1))) (fma.f32 (fma.f32 #s(literal -2 binary32) u1 #s(literal -1 binary32)) u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.2%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	96.1%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ (/ -1 (- u1 1)) (/ 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	76.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
✓	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.7%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	81.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
	80.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
✓	74.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (/.f32 (fma.f32 (.f32 (.f32 (.f32 u1 u1) u1) u1) (.f32 u1 u1) (.f32 (.f32 u1 u1) u1)) (-.f32 (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1) (.f32 (.f32 u1 u1) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) (fma.f32 (neg.f32 u1) u1 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	19.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	88.0%	(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 u1))))
	97.7%	(.f32 (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.9%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.1%	(.f32 #s(approx ( (sqrt (/ 1 (- 1 u1))) (sin (* u2 314159265359/50000000000))) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)) (sqrt.f32 u1))
	88.7%	(.f32 #s(approx ( (sqrt (/ 1 (- 1 u1))) (sin (* u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2)) (sqrt.f32 u1))
	83.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 (.f32 u1 u1) u1)) #s(literal 1/2 binary32) (sqrt.f32 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	87.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 (.f32 (sqrt.f32 u1) u1) #s(literal 1/2 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (/.f32 (.f32 u1 (fma.f32 u1 (.f32 #s(literal 1/4 binary32) u1) #s(literal -1 binary32))) (-.f32 (.f32 (.f32 (.f32 #s(literal 1/8 binary32) (.f32 (sqrt.f32 u1) u1)) u1) (.f32 u1 u1)) (.f32 (sqrt.f32 u1) u1))) (fma.f32 (fma.f32 u1 (.f32 #s(literal 1/4 binary32) u1) #s(literal 1 binary32)) u1 (.f32 (.f32 #s(literal 1/2 binary32) u1) u1)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	75.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
	70.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))
	69.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
✓	65.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
	88.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (/ 1 (/ 1 (+ ( 1/2 (* (sqrt u1) u1)) (sqrt u1)))) (.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 u1) u1)))) (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	#s(approx (/ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2))
	89.1%	#s(approx (/ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 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))
	89.1%	#s(approx (/ (sin (* u2 314159265359/50000000000)) (sqrt (- (/ 1 u1) 1))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (.f32 (fma.f32 (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
	93.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
	91.3%	#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 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))

Compiler

Compiled 4 248 to 1 505 computations (64.6% saved)

regimes355.0ms (3.1%)

Memory

-18.8MiB live, 583.7MiB allocated

Counts

130 → 1

Calls

Call 1

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

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

Calls

8 calls:

83.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
41.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
39.0ms	u2
38.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms	cosTheta_i

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes339.0ms (2.9%)

Memory

3.7MiB live, 368.8MiB allocated

Counts

75 → 2

Calls

Call 1

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

Calls

8 calls:

105.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
70.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
48.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
28.0ms	u1
23.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
93.5%	1	`cosTheta_i`
97.6%	2	`u1`
97.9%	2	`u2`
93.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
97.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
97.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes47.0ms (0.4%)

Memory

-7.2MiB live, 116.6MiB allocated

Counts

73 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
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(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (-.f32 u1 #s(literal 1 binary32)) (-.f32 u1 #s(literal 1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx ( (sqrt (/ 1 (- 1 u1))) (sin (* u2 314159265359/50000000000))) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)) (sqrt.f32 u1))
(.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 (/ u1 (- 1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32)) (sqrt.f32 u1))))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sin.f32 (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 u1))

Outputs

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

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

Calls

2 calls:

23.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
21.0ms	u2

Results

Accuracy	Segments	Branch
97.7%	2	`u2`
97.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes113.0ms (1%)

Memory

2.0MiB live, 281.3MiB allocated

Counts

69 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

25.0ms	u1
23.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	u2
21.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
20.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
93.5%	1	`u1`
93.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
96.7%	2	`u2`
96.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes64.0ms (0.6%)

Memory

-18.4MiB live, 139.1MiB allocated

Counts

67 → 1

Calls

Call 1

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

Outputs

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

Calls

3 calls:

20.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
19.0ms	u2
19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
93.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.5%	1	`u2`
93.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 17 to 14 computations (17.6% saved)

regimes151.0ms (1.3%)

Memory

24.4MiB live, 343.2MiB allocated

Counts

65 → 1

Calls

Call 1

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
93.5%	1	`u2`
93.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.5%	1	`cosTheta_i`
93.5%	1	`u1`
93.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes144.0ms (1.2%)

Memory

-3.2MiB live, 276.7MiB allocated

Counts

60 → 1

Calls

Call 1

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

Outputs

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

20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms	cosTheta_i
18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
18.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
17.0ms	u1

Results

Accuracy	Segments	Branch
93.5%	1	`u1`
93.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.5%	1	`u2`
93.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.5%	1	`cosTheta_i`
93.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
93.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes116.0ms (1%)

Memory

-20.3MiB live, 220.8MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
91.4%	1	`cosTheta_i`
91.4%	1	`u1`
91.4%	1	`u2`
91.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
91.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
91.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes92.0ms (0.8%)

Memory

18.1MiB live, 177.7MiB allocated

Counts

38 → 1

Calls

Call 1

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
91.3%	1	`cosTheta_i`
91.3%	1	`u2`
91.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
91.3%	1	`u1`
91.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
91.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes89.0ms (0.8%)

Memory

14.8MiB live, 176.2MiB allocated

Counts

36 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	u1
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
10.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
89.1%	1	`cosTheta_i`
89.1%	1	`u1`
89.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.1%	1	`u2`
89.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes101.0ms (0.9%)

Memory

-18.0MiB live, 100.1MiB allocated

Counts

25 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 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 (.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 (/ 1 (- 1 u1))) (sqrt 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) (sin (* 314159265359/50000000000 u2))) (sqrt (- 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))

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:

42.0ms	cosTheta_i
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
8.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
89.1%	1	`cosTheta_i`
89.1%	1	`u2`
89.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
89.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.1%	1	`u1`
89.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes84.0ms (0.7%)

Memory

-9.2MiB live, 66.2MiB allocated

Counts

22 → 2

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (-.f32 u1 #s(literal -1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 #s(literal 3/8 binary32) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 (fma.f32 u1 u1 u1) u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 #s(approx (/ 1 (- 1 u1)) (+.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(approx (sin (* u2 314159265359/50000000000)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 (fma.f32 (fma.f32 #s(literal 5/16 binary32) u1 #s(literal 3/8 binary32)) u1 #s(literal 1/2 binary32)) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(/.f32 #s(approx (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))

Outputs

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

Calls

8 calls:

25.0ms	cosTheta_i
16.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
7.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
7.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
82.3%	1	`cosTheta_i`
87.3%	2	`u1`
87.0%	2	`u2`
87.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
87.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
87.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
82.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
86.4%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes27.0ms (0.2%)

Memory

33.6MiB live, 33.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
82.3%	1	`cosTheta_i`
82.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
82.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
82.3%	1	`u2`
82.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
82.3%	1	`u1`
82.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
82.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes36.0ms (0.3%)

Memory

-2.6MiB live, 35.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	cosTheta_i
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 #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))

Results

Accuracy	Segments	Branch
76.9%	1	`u1`
76.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
76.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
76.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
76.9%	1	`u2`
76.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
76.9%	1	`cosTheta_i`
76.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes41.0ms (0.4%)

Memory

-8.6MiB live, 36.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs

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

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

Results

Accuracy	Segments	Branch
74.7%	1	`cosTheta_i`
74.7%	1	`u1`
74.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.7%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
74.7%	1	`u2`
74.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes24.0ms (0.2%)

Memory

-8.5MiB live, 29.3MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

7.0ms	(*.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	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
2.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
2.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
74.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
74.6%	1	`u2`
74.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.6%	1	`u1`
74.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.6%	1	`cosTheta_i`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Accuracy

Total -14.9b remaining (-135.4%)

Threshold costs -14.9b (-135.4%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
65.6%	1	`u1`
65.6%	1	`u2`
65.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
65.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
65.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
65.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
65.6%	1	`cosTheta_i`
65.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.646582305431366	0.6660783886909485

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.646582305431366	0.6660783886909485

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.3365353345870972	1.8079392910003662

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002490995218977332	0.002875990467146039

Compiler

Compiled 17 to 17 computations (0% saved)

simplify33.0ms (0.3%)

Memory

-23.5MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	98	599
1	136	599
2	140	599
3	142	599
4	143	599

Stop Event

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)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 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))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) 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 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3/2 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (/ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) 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))) (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 (.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 5368709/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (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))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))

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))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 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))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) u2)) (.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 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) 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 5452595/8388608 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.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)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 3/2 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)) #s(literal 3/2 binary32)) #s(approx (/ ( (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) u2)) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
#s(approx (/ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) u2))
#s(approx (/ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (sqrt (- 1 u1))) (.f32 (fma.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 (.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))) u2))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (fma.f32 (.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 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))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 (fma.f32 (*.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) 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 (fma.f32 (.f32 (fma.f32 (.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) u2) u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2) u2 #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32)) u2)))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #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))) (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 5368709/2147483648 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (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))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/2147483648 binary32)) (.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 (fma.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2) u2 #s(literal 314159265359/50000000000 binary32)) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) (.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.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))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (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))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 (fma.f32 u1 u1 u1) u1 u1))))
(.f32 (.f32 #s(approx (sqrt (/ 1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) u1 #s(literal 1 binary32))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 u2 #s(literal 314159265359/50000000000 binary32))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness1.6s (13.8%)

Memory

12.8MiB live, 971.8MiB allocated

Rules

8 547×	`lower-fma.f64`
8 547×	`lower-fma.f32`
8 404×	`lower-fma.f64`
8 404×	`lower-fma.f32`
7 071×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	350	4729
1	1070	4314
2	3356	3915
3	7362	3912
0	8157	3734
0	202	1002
1	602	910
2	1736	837
3	5177	784
4	7592	783
0	8372	754
0	474	5133
1	1434	4636
2	4264	4183
0	8045	3995
0	44	276
0	76	246
1	227	235
2	1628	235
0	8133	232
0	525	5371
1	1607	4824
2	4896	4426
0	8113	4215

Stop Event

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

Compiler

Compiled 884 to 371 computations (58% saved)

preprocess316.0ms (2.7%)

Memory

-14.9MiB live, 219.2MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 632 to 740 computations (54.7% 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%)

analyze260.0ms (2.2%)

sample1.8s (15.6%)

explain120.0ms (1%)

preprocess65.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize43.0ms (0.4%)

series9.0ms (0.1%)

simplify231.0ms (2%)

rewrite226.0ms (2%)

eval65.0ms (0.6%)

prune156.0ms (1.3%)

simplify322.0ms (2.8%)

localize152.0ms (1.3%)

series160.0ms (1.4%)

simplify291.0ms (2.5%)

rewrite232.0ms (2%)

eval202.0ms (1.7%)

prune348.0ms (3%)

simplify190.0ms (1.6%)

localize211.0ms (1.8%)

series20.0ms (0.2%)

simplify328.0ms (2.8%)

rewrite365.0ms (3.2%)

eval224.0ms (1.9%)

prune389.0ms (3.4%)

simplify326.0ms (2.8%)

localize169.0ms (1.5%)

series30.0ms (0.3%)

simplify249.0ms (2.2%)

rewrite162.0ms (1.4%)

eval102.0ms (0.9%)

prune320.0ms (2.8%)

regimes355.0ms (3.1%)

regimes339.0ms (2.9%)

regimes47.0ms (0.4%)

regimes113.0ms (1%)

regimes64.0ms (0.6%)

regimes151.0ms (1.3%)

regimes144.0ms (1.2%)

regimes116.0ms (1%)

regimes92.0ms (0.8%)

regimes89.0ms (0.8%)

regimes101.0ms (0.9%)

regimes84.0ms (0.7%)

regimes27.0ms (0.2%)

regimes36.0ms (0.3%)

regimes41.0ms (0.4%)

regimes24.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify33.0ms (0.3%)

soundness1.6s (13.8%)

preprocess316.0ms (2.7%)

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