Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze276.0ms (2.1%)

Memory

8.3MiB live, 321.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.9s (14.6%)

Memory

-44.4MiB live, 2 600.0MiB allocated

Samples

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

Precisions

Click to see histograms. Total time spent on operations: 933.0ms

const: 354.0ms (37.9% of total)

ival-mult: 112.0ms (12% of total)

ival-<=: 102.0ms (10.9% of total)

ival-cos: 100.0ms (10.7% of total)

ival-div: 67.0ms (7.2% of total)

ival-sqrt: 63.0ms (6.8% of total)

ival-sub: 52.0ms (5.6% of total)

ival->: 45.0ms (4.8% of total)

ival-and: 31.0ms (3.3% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess40.0ms (0.3%)

Memory

4.7MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs u2)

(abs cosTheta_i)

explain170.0ms (1.3%)

Memory

-5.1MiB live, 200.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f32 #s(literal 1 binary32) u1)`
-	-	`u2`
-	-	`#s(literal 1 binary32)`
-	-	`#s(literal 314159265359/50000000000 binary32)`
-	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
-	-	`u1`
-	-	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
-	-	`(/.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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

72.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

const: 7.0ms (23.2% of total)

ival-mult: 6.0ms (19.9% of total)

ival-cos: 6.0ms (19.9% of total)

ival-div: 4.0ms (13.3% of total)

ival-sub: 3.0ms (9.9% of total)

ival-sqrt: 3.0ms (9.9% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0.1%)

Memory

16.6MiB live, 16.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize38.0ms (0.3%)

Memory

-14.4MiB live, 66.4MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

24.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

ival-cos: 4.0ms (24.1% of total)

const: 4.0ms (24.1% of total)

ival-mult: 3.0ms (18.1% of total)

ival-div: 2.0ms (12.1% of total)

ival-sqrt: 2.0ms (12.1% of total)

ival-sub: 1.0ms (6% of total)

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

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

exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory

-18.7MiB live, 19.3MiB allocated

Counts

6 → 84

Calls

Call 1

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

Outputs
#s(alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* (sqrt u1) (cos (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (cos (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (cos (* 314159265359/50000000000 u2))))))))) (taylor 0 u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))))) (taylor inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))) (taylor -inf u1) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt (/ u1 (- 1 u1))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))) (taylor 0 u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (taylor -inf u2) (#s(alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())) ())
#s(alt (sqrt u1) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3)))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1)))))) (taylor 0 u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
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#s(alt (sqrt -1) (taylor inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
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#s(alt (sqrt -1) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
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#s(alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1))) (taylor -inf u1) (#s(alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (patch (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())) ())
#s(alt u1 (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
#s(alt (* u1 (+ 1 u1)) (taylor 0 u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
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#s(alt -1 (taylor inf u1) (#s(alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) (patch (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #<representation binary32>) () ())) ())
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#s(alt 1 (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
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#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
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#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (-.f32 #s(literal 1 binary32) u1) (patch (-.f32 #s(literal 1 binary32) u1) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor 0 u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt (* 314159265359/50000000000 u2) (taylor -inf u2) (#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<representation binary32>) () ())) ())
#s(alt 1 (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000))) (taylor 0 u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())
#s(alt (cos (* 314159265359/50000000000 u2)) (taylor -inf u2) (#s(alt (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (patch (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #<representation binary32>) () ())) ())

Calls

21 calls:

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

simplify436.0ms (3.3%)

Memory

22.8MiB live, 696.5MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite422.0ms (3.2%)

Memory

9.3MiB live, 450.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 521

Calls

Call 1

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

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

eval62.0ms (0.5%)

Memory: 2.2MiB live, 120.0MiB allocated
Compiler: Compiled 16 331 to 2 493 computations (84.7% saved)

prune159.0ms (1.2%)

Memory

-2.2MiB live, 191.6MiB allocated

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	578	26	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	578	27	605

Accuracy

99.6%

Counts

605 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	71.8%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	71.6%	(.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
▶	98.8%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.6%	(.f32 (/.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)) (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.7%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	94.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	84.4%	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.1%	(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.1%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	86.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
▶	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Compiler

Compiled 1 170 to 741 computations (36.7% saved)

simplify485.0ms (3.7%)

Memory

2.2MiB live, 453.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	cost-diff	0	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓	cost-diff	0	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	cost-diff	0	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
✓	cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
✓	cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(fma.f32 u1 u1 u1)
✓	cost-diff	0	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
✓	cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	160	(*.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	cost-diff	224	(-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1))))
✓	cost-diff	256	(/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))
✓	cost-diff	896	(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))

Rules

17 370×	`lower-fma.f64`
17 364×	`lower-fma.f32`
3 672×	`lower-+.f64`
3 668×	`lower-+.f32`
2 478×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	437
0	74	401
1	128	376
2	304	320
3	1557	320
4	7455	320
0	8153	317

Stop Event

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

Calls

Call 1

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

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

localize205.0ms (1.6%)

Memory

3.8MiB live, 159.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
✓	accuracy	99.6%	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	accuracy	99.5%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.3%	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
✓	accuracy	99.2%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	86.6%	#s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	85.1%	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u1)
✓	accuracy	99.8%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	80.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	accuracy	98.9%	(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
✓	accuracy	98.8%	(.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (*.f32 u1 u1)))

Samples

106.0ms	251×	0	valid
21.0ms	5×	1	valid

Compiler

Compiled 421 to 37 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-mult: 53.0ms (48.5% of total)

ival-div: 30.0ms (27.5% of total)

ival-sqrt: 6.0ms (5.5% of total)

ival-add: 5.0ms (4.6% of total)

ival-pow: 5.0ms (4.6% of total)

const: 4.0ms (3.7% of total)

ival-cos: 3.0ms (2.7% of total)

ival-sub: 2.0ms (1.8% of total)

exact: 1.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

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

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

series60.0ms (0.5%)

Memory

-3.6MiB live, 35.3MiB allocated

Counts

25 → 348

Calls

Call 1

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

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

Calls

87 calls:

Time	Variable		Point	Expression
35.0ms	u1	@	-inf	(/ u1 (/ (- (* 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1)))))
2.0ms	u1	@	-inf	(/ (- (* 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))
1.0ms	u2	@	inf	(* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(/ (- (* 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))
1.0ms	u1	@	0	(/ (- (* 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))

simplify432.0ms (3.3%)

Memory

16.6MiB live, 483.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 918×	`lower-fma.f64`
9 918×	`lower-fma.f32`
4 962×	`lower-*.f64`
4 962×	`lower-*.f32`
3 038×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	4375
1	1001	3864
2	3013	3609
3	6580	3593
0	8242	3424

Stop Event

1×	iter limit
1×	node limit

Counts

348 → 344

Calls

Call 1

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

rewrite544.0ms (4.2%)

Memory

17.1MiB live, 603.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 032×	`lower-/.f64`
5 026×	`lower-/.f32`
4 790×	`lower-*.f64`
4 772×	`lower-*.f32`
3 086×	`lower-fma.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	293
0	70	298
1	242	269
2	1754	197
0	8526	197

Stop Event

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

Counts

25 → 1 201

Calls

Call 1

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

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

eval220.0ms (1.7%)

Memory: 21.2MiB live, 626.1MiB allocated
Compiler: Compiled 82 656 to 6 059 computations (92.7% saved)

prune301.0ms (2.3%)

Memory

-16.5MiB live, 770.7MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	1 626	35	1 661
Fresh	10	11	21
Picked	3	2	5
Done	0	1	1
Total	1 639	49	1 688

Accuracy

99.7%

Counts

1 688 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	71.8%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	94.9%	(.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.3%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	69.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.8%	(.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	88.3%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	74.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) #s(literal 1 binary32)) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	94.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.6%	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.9%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	79.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	92.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.1%	(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.0%	(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (*.f32 u1 (sqrt.f32 u1)) (sqrt.f32 u1))))
	73.9%	(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
▶	85.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (-.f32 u1 (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)))) (fma.f32 #s(literal 1/8 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (sqrt.f32 u1))) (.f32 u1 (sqrt.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 u1 (.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
▶	88.3%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	93.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	91.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	80.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
✓	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
	80.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	74.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
▶	63.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Compiler

Compiled 2 282 to 1 307 computations (42.7% saved)

simplify287.0ms (2.2%)

Memory

-13.5MiB live, 420.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1))))
✓	cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1))
✓	cost-diff	384	(-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
✓	cost-diff	1600	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	0	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
✓	cost-diff	448	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	608	(/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))

Rules

9 276×	`lower-fma.f64`
9 268×	`lower-fma.f32`
4 000×	`lower-*.f64`
3 974×	`lower-*.f32`
1 290×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	520
0	95	510
1	159	496
2	322	472
3	919	468
4	2166	468
5	3338	468
6	5857	450
7	7876	450
0	8033	439

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (1.7%)

Memory

3.0MiB live, 399.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))
✓	accuracy	86.6%	#s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1))))
✓	accuracy	99.1%	(.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))
✓	accuracy	99.1%	(.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
✓	accuracy	94.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
✓	accuracy	99.6%	(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.5%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	88.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	80.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
✓	accuracy	74.1%	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	accuracy	99.5%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.5%	(/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

112.0ms

256×

valid

Compiler

Compiled 427 to 56 computations (86.9% saved)

Precisions

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

ival-mult: 26.0ms (31.3% of total)

const: 14.0ms (16.9% of total)

ival-div: 13.0ms (15.6% of total)

ival-add: 8.0ms (9.6% of total)

ival-sqrt: 7.0ms (8.4% of total)

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

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

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

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

exact: 1.0ms (1.2% of total)

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

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

series51.0ms (0.4%)

Memory

26.0MiB live, 101.8MiB allocated

Counts

26 → 408

Calls

Call 1

Inputs
#s(alt (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) (patch (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))) #<representation binary32>) () ())
#s(alt (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) (patch (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1)))) #<representation binary32>) () ())
#s(alt (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (patch (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) (patch #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (sqrt.f32 u1) (patch (sqrt.f32 u1) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) (patch #s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #<representation binary32>) () ())
#s(alt (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (patch (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #<representation binary32>) () ())
#s(alt (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (patch (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt (.f32 u2 u2) (patch (.f32 u2 u2) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) (patch (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))) #<representation binary32>) () ())
#s(alt #s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) (patch #s(approx ( (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))) #<representation binary32>) () ())
#s(alt (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (patch (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #<representation binary32>) () ())
#s(alt (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)) (patch (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)) #<representation binary32>) () ())
#s(alt (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (patch (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) #<representation binary32>) () ())
#s(alt (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (patch (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #<representation binary32>) () ())
#s(alt #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (patch #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) #<representation binary32>) () ())
#s(alt (.f32 #s(literal 314159265359/50000000000 binary32) u2) (patch (.f32 #s(literal 314159265359/50000000000 binary32) u2) #<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(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (patch (/.f32 #s(literal 1 binary32) (+.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 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (patch (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #<representation binary32>) () ())
#s(alt (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (patch (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) #<representation binary32>) () ())
#s(alt (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1))) (patch (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1))) #<representation binary32>) () ())
#s(alt (.f32 u1 (.f32 u1 u1)) (patch (.f32 u1 (.f32 u1 u1)) #<representation binary32>) () ())

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

Calls

102 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))))
3.0ms	u2	@	0	(* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
1.0ms	u1	@	inf	(+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))))
1.0ms	u1	@	0	(+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))))

simplify454.0ms (3.5%)

Memory

8.7MiB live, 565.2MiB allocated

Algorithm

1×	egg-herbie

Rules

12 472×	`lower-fma.f64`
12 472×	`lower-fma.f32`
7 120×	`lower-*.f64`
7 120×	`lower-*.f32`
3 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	540	7802
1	1793	6657
2	6557	6256
0	8165	5886

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 405

Calls

Call 1

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

rewrite508.0ms (3.9%)

Memory

-29.4MiB live, 603.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 516×	`lower-/.f64`
4 504×	`lower-/.f32`
4 394×	`lower-*.f64`
4 368×	`lower-*.f32`
3 080×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	379
0	95	369
1	330	305
2	2348	305
0	8505	301

Stop Event

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

Counts

26 → 807

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal -1 binary32)))
(+.f32 u1 (*.f32 u1 u1))
(+.f32 (*.f32 u1 u1) u1)
(pow.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 u1 u1 u1)
(fma.f32 u1 #s(literal 1 binary32) (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) u1 (*.f32 u1 u1))
(fma.f32 #s(literal 1 binary32) (*.f32 u1 u1) u1)
(fma.f32 (*.f32 u1 u1) #s(literal 1 binary32) u1)
(fma.f32 (sqrt.f32 u1) (sqrt.f32 u1) (*.f32 u1 u1))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 (neg.f32 u1)) u1)
(fma.f32 (*.f32 u1 (sqrt.f32 u1)) (sqrt.f32 u1) u1)
(fma.f32 (neg.f32 u1) (neg.f32 u1) u1)
(fma.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1)) (*.f32 u1 u1))
(fma.f32 (*.f32 (neg.f32 u1) #s(literal -1 binary32)) u1 u1)
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (pow.f32 (.f32 u1 (neg.f32 u1)) #s(literal 1/2 binary32)) (.f32 u1 u1))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (.f32 u1 (neg.f32 u1))) (.f32 u1 u1))
(fma.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 u1)) (*.f32 u1 u1))
(fma.f32 (pow.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32)) #s(literal 1/2 binary32)) (sqrt.f32 u1) (.f32 u1 u1))
(fma.f32 (sqrt.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32))) (sqrt.f32 u1) (.f32 u1 u1))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) #s(literal 1 binary32)) (/.f32 (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) #s(literal 1 binary32)))
(-.f32 (/.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (fma.f32 u1 u1 (neg.f32 u1))) (/.f32 (.f32 u1 u1) (fma.f32 u1 u1 (neg.f32 u1))))
(/.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))
(/.f32 (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) #s(literal -1 binary32))
(/.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 (.f32 u1 u1))) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (-.f32 (.f32 u1 u1) (.f32 u1 (*.f32 u1 u1)))))
(/.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 u1)) (fma.f32 u1 u1 (neg.f32 u1)))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) u1)) (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(/.f32 (neg.f32 (.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 (.f32 u1 u1)))) (neg.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (-.f32 (.f32 u1 u1) (.f32 u1 (*.f32 u1 u1))))))
(/.f32 (neg.f32 (-.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) (.f32 u1 u1))) (neg.f32 (fma.f32 u1 u1 (neg.f32 u1))))
(*.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))
(*.f32 (+.f32 u1 #s(literal 1 binary32)) u1)
(*.f32 (fma.f32 u1 u1 u1) #s(literal 1 binary32))
(*.f32 (fma.f32 u1 u1 u1) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(*.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(.f32 #s(literal -1 binary32) (.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)))
(*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1))))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (neg.f32 u1)))
(*.f32 (/.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (/.f32 u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(*.f32 (/.f32 u1 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (+.f32 u1 #s(literal 1 binary32)))
(.f32 (/.f32 u1 (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) #s(literal -1 binary32)) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(*.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (/.f32 u1 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(.f32 (/.f32 u1 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 u1 (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(*.f32 (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(.f32 (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (/.f32 (sqrt.f32 u1) (-.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) u1)))
(neg.f32 (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(neg.f32 (/.f32 (neg.f32 u1) (-.f32 #s(literal 1 binary32) u1)))
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) #s(literal -1 binary32)))
(pow.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (/.f32 u1 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (*.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (/.f32 u1 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))) (/.f32 u1 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))
(/.f32 (fma.f32 u1 u1 u1) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 #s(literal -1 binary32) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32))))
(/.f32 (neg.f32 u1) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (neg.f32 u1) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
(/.f32 (neg.f32 u1) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 u1)) (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (.f32 #s(literal -1 binary32) (neg.f32 u1)) (.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))
(/.f32 (.f32 (fma.f32 u1 u1 u1) #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 u1)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (*.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (/.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u1))) (.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) u1)) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)) (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (neg.f32 (*.f32 (neg.f32 u1) #s(literal 1 binary32))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (neg.f32 (.f32 (neg.f32 u1) #s(literal -1 binary32))) (neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (neg.f32 u1))) (neg.f32 (.f32 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (.f32 #s(literal -1 binary32) (neg.f32 u1))) (neg.f32 (.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1)) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 u1))) (neg.f32 (+.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
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(/.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1 binary32))
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(.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3/2 binary32)) (.f32 u1 (*.f32 u1 u1)))
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eval189.0ms (1.5%)

Memory: -2.7MiB live, 481.1MiB allocated
Compiler: Compiled 60 104 to 4 176 computations (93.1% saved)

prune313.0ms (2.4%)

Memory

22.6MiB live, 852.8MiB allocated

Pruning

65 alts after pruning (61 fresh and 4 done)

	Pruned	Kept	Total
New	1 682	30	1 712
Fresh	10	31	41
Picked	4	1	5
Done	0	3	3
Total	1 696	65	1 761

Accuracy

99.7%

Counts

1 761 → 65

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
▶	71.8%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	94.9%	(.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.8%	(.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sqrt.f32 (fma.f32 u1 u1 u1)))
▶	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	74.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) #s(literal 1 binary32)) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	94.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	79.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	92.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.8%	(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))))
	73.9%	(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1/16 binary32) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(approx (+ ( (* u1 (* u1 u1)) 1/4) (neg u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(approx (+ ( (* u1 (* u1 u1)) 1/4) (neg u1)) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 u1 (.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	93.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	93.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (/.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 #s(literal 1 binary32) u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
▶	70.7%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	92.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
▶	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	88.2%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
	88.2%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
	80.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
	88.3%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	70.9%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	67.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
	93.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
	80.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
✓	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
	80.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	74.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
▶	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	62.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
	62.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
✓	63.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	88.4%	#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
	80.6%	#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))

Compiler

Compiled 3 071 to 1 815 computations (40.9% saved)

simplify354.0ms (2.7%)

Memory

25.1MiB live, 503.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f32 u1 #s(literal 1 binary32))
✓	cost-diff	0	(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
✓	cost-diff	0	(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
✓	cost-diff	0	(*.f32 u2 u2)
✓	cost-diff	0	(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
✓	cost-diff	0	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
✓	cost-diff	0	(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓	cost-diff	0	(fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))
✓	cost-diff	0	(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.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	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
✓	cost-diff	64	(+.f32 #s(literal -1 binary32) (*.f32 u1 u1))
✓	cost-diff	160	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
✓	cost-diff	192	(-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1)))
✓	cost-diff	1312	(/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))

Rules

13 908×	`lower-fma.f64`
13 900×	`lower-fma.f32`
3 186×	`lower-*.f64`
3 160×	`lower-*.f32`
2 656×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	591
0	108	590
1	193	590
2	475	501
3	1773	478
4	6433	478
0	8119	472

Stop Event

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

Calls

Call 1

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

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

localize289.0ms (2.2%)

Memory

-11.3MiB live, 421.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1)))
✓	accuracy	99.0%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
✓	accuracy	99.0%	(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓	accuracy	94.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
✓	accuracy	74.2%	#s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	accuracy	99.6%	(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.0%	(*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))
✓	accuracy	88.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	100.0%	(fma.f32 u1 u1 u1)
✓	accuracy	99.8%	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
✓	accuracy	85.1%	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
✓	accuracy	80.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
✓	accuracy	99.4%	(-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1)))
✓	accuracy	99.4%	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.9%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32))))

Samples

141.0ms	251×	0	valid
9.0ms	5×	1	valid

Compiler

Compiled 498 to 60 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 57.0ms (44.7% of total)

const: 19.0ms (14.9% of total)

ival-div: 18.0ms (14.1% of total)

ival-add: 12.0ms (9.4% of total)

ival-sqrt: 10.0ms (7.8% of total)

ival-pow: 5.0ms (3.9% of total)

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

ival-sub: 2.0ms (1.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series47.0ms (0.4%)

Memory

6.3MiB live, 80.6MiB allocated

Counts

23 → 384

Calls

Call 1

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

Outputs
#s(alt 1 (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (+ 1 (* -1 u1)) (taylor 0 u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* u1 (- (/ 1 u1) 1)) (taylor inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 u1) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt (* -1 (* u1 (- 1 (/ 1 u1)))) (taylor -inf u1) (#s(alt (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) (patch (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* 2 (pow u1 2)) 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* (pow u1 2) (+ 2 (* -1 (pow u1 2)))) 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (- (* (pow u1 2) (+ 2 (* -1 (pow u1 2)))) 1) (taylor 0 u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 4)) (taylor inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) 1)) (taylor inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 4))))) (taylor inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 4))))) (taylor inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* -1 (pow u1 4)) (taylor -inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) 1)) (taylor -inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 4))))) (taylor -inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt (* (pow u1 4) (- (* 2 (/ 1 (pow u1 2))) (+ 1 (/ 1 (pow u1 4))))) (taylor -inf u1) (#s(alt (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (patch (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) #<representation binary32>) () ())) ())
#s(alt -1 (taylor 0 u1) (#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 (- (pow u1 2) 1) (taylor 0 u1) (#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 (- (pow u1 2) 1) (taylor 0 u1) (#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>) () ())) ())
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Calls

96 calls:

Time	Variable		Point	Expression
10.0ms	u2	@	0	(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))
1.0ms	u2	@	inf	(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))
1.0ms	u1	@	0	(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))
1.0ms	u2	@	inf	(/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1))))
1.0ms	u2	@	-inf	(/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))

simplify754.0ms (5.8%)

Memory

-61.6MiB live, 756.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 608×	`lower-fma.f64`
12 608×	`lower-fma.f32`
7 378×	`lower-*.f64`
7 378×	`lower-*.f32`
4 318×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	669	7812
1	2144	6503
2	7488	6484
0	8241	6074

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 380

Calls

Call 1

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

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

rewrite561.0ms (4.3%)

Memory

13.8MiB live, 596.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 606×	`lower-*.f64`
5 582×	`lower-*.f32`
4 196×	`lower-fma.f64`
4 188×	`lower-fma.f32`
3 594×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	352
0	102	345
1	377	325
2	2737	321
0	8893	317

Stop Event

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

Counts

23 → 870

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(pow.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal -1 binary32))
(fma.f32 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (*.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (*.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (.f32 (*.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(fma.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (neg.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(-.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.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 (+.f32 u1 #s(literal 1 binary32)) (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) (.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))
(/.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))))) (.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (.f32 (fma.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (.f32 (.f32 u1 u1) (.f32 (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))))) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32)))) (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (.f32 (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 1 binary32)) (.f32 (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (neg.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 u1 u1) (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))) (neg.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 (/.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u1) (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))) (fma.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (fma.f32 (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (*.f32 u1 u1) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal -1 binary32))))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (neg.f32 u1))))
(/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))
(/.f32 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32)) (neg.f32 (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (*.f32 #s(literal 1 binary32) (neg.f32 u1)))))
(/.f32 (-.f32 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1)))
(*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(exp.f32 (log.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) u1) #s(literal -1 binary32))
(pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) #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) (*.f32 u1 u1)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) #s(literal -1 binary32))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.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) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) #s(literal -1 binary32))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)) (.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(/.f32 (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32))) (neg.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (exp.f32 (log1p.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(/.f32 (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(/.f32 (exp.f32 (log1p.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))) (exp.f32 (log.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)))))
(/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
(*.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)) #s(literal 1 binary32))
(.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1))))
(.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
#s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))

eval207.0ms (1.6%)

Memory: 15.2MiB live, 518.3MiB allocated
Compiler: Compiled 73 473 to 6 633 computations (91% saved)

prune355.0ms (2.7%)

Memory

24.5MiB live, 809.8MiB allocated

Pruning

74 alts after pruning (67 fresh and 7 done)

	Pruned	Kept	Total
New	1 656	21	1 677
Fresh	10	46	56
Picked	2	3	5
Done	0	4	4
Total	1 668	74	1 742

Accuracy

99.8%

Counts

1 742 → 74

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.5%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	71.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (+ u1 1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	73.8%	(/.f32 #s(literal 1 binary32) (/.f32 #s(approx (sqrt (+ u1 1)) #s(literal 1 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))))
	94.9%	(.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.8%	(.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))))) (sqrt.f32 (fma.f32 u1 u1 u1)))
	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	98.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 #s(approx ( (+ u1 -1) (+ u1 1)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) u1) u1)) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.4%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 #s(approx (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) #s(literal 1 binary32)) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	99.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.3%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	94.0%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.7%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (/.f32 u1 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	85.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	79.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	92.0%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.8%	(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))))
	73.9%	(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	77.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.6%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1/16 binary32) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(approx (+ ( (* u1 (* u1 u1)) 1/4) (neg u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1/4 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.1%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(approx (+ ( (* u1 (* u1 u1)) 1/4) (neg u1)) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (sqrt.f32 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.7%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.5%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) #s(approx (+ ( 1/2 (sqrt (* u1 (* u1 u1)))) (sqrt u1)) (.f32 u1 (.f32 u1 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	61.5%	#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	70.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
	93.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	70.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (/.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	70.7%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	93.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 #s(literal 1 binary32) u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	70.7%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
✓	70.7%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	70.9%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	92.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
✓	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	67.3%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
	80.3%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
	70.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
	88.2%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
	80.8%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
	88.3%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
	88.0%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
	67.5%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
	70.9%	#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
	93.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	94.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	88.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	80.5%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
✓	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
	80.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
	74.4%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
✓	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
	70.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
	19.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
✓	63.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
	80.6%	#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))

Compiler

Compiled 4 279 to 1 484 computations (65.3% saved)

regimes271.0ms (2.1%)

Memory

-9.5MiB live, 441.8MiB allocated

Counts

113 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
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#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
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(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u1))) (/.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (.f32 (/.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) #s(literal 1/16 binary32) (.f32 u1 (neg.f32 u1))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 (.f32 u1 u1) #s(literal 1/4 binary32)) u1)) (sqrt.f32 u1))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (/.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (-.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))))) (cos.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 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (exp.f32 (log.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (.f32 (pow.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (-.f32 (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1))) (exp.f32 (.f32 #s(literal 1/2 binary32) (log.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal -1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)))) (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))) #s(literal -1/2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

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

Calls

8 calls:

48.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
32.0ms	u1
32.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
31.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
99.0%	1	`cosTheta_i`
99.0%	1	`u1`
99.0%	1	`u2`
99.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
99.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
99.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
99.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
99.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes158.0ms (1.2%)

Memory

5.8MiB live, 238.6MiB allocated

Counts

68 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (/.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 #s(literal 1 binary32) u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (/ (- ( 1 (+ u1 (+ (* u1 u1) 1))) (* (+ u1 (+ (* u1 u1) 1)) (* u1 (* u1 u1)))) (* (+ u1 (+ (* u1 u1) 1)) (+ u1 (+ (* u1 u1) 1))))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

21.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
20.0ms	cosTheta_i
20.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms	u1

Results

Accuracy	Segments	Branch
94.0%	1	`cosTheta_i`
98.3%	2	`u1`
98.0%	2	`u2`
98.4%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes123.0ms (0.9%)

Memory

-19.3MiB live, 183.9MiB allocated

Counts

66 → 2

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (/.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 #s(literal 1 binary32) u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))

Outputs

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

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

Calls

6 calls:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
19.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
19.0ms	u1
19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
97.6%	2	`u2`
97.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
97.5%	2	`u1`
97.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
97.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 45 to 35 computations (22.2% saved)

regimes148.0ms (1.1%)

Memory

32.4MiB live, 265.1MiB allocated

Counts

63 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (/.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (+.f32 (.f32 (.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2) #s(approx ( (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) u2 (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (/.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (/.f32 (.f32 u2 u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (pow (+ (/ 1 u1) -1) -1/2) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (.f32 #s(literal 1 binary32) u2) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))) (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (.f32 u1 (.f32 u1 u1)))) (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) #s(approx (cos (* 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))

Outputs

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes105.0ms (0.8%)

Memory

-14.9MiB live, 180.8MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ (* u1 u1) u1) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (/ 1 (/ (sqrt (+ u1 1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt u1)))) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (/ (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) (sqrt (+ -1 (/ 1 u1)))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(approx (+ (* u2 (* u2 -98696044010906577398881/5000000000000000000000)) 1) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(approx (+ -1 (/ 1 u1)) (/.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (*.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (+.f32 (.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (neg.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1)))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (+ (* (* u2 u2) (* (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))) (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) #s(approx ( (sqrt (/ 1 (+ -1 (/ 1 u1)))) (* u2 (* u2 (+ (* (* u2 u2) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))))))
#s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal -1 binary32)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (* (/ 1 (- 1 (* u1 u1))) (/ u1 (/ 1 (+ 1 u1))))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))))

Outputs

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

Calls

8 calls:

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

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes93.0ms (0.7%)

Memory

2.2MiB live, 155.1MiB allocated

Counts

33 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
13.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
13.0ms	u1
13.0ms	cosTheta_i
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes75.0ms (0.6%)

Memory

30.1MiB live, 117.0MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
11.0ms	u1
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
88.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
88.4%	1	`cosTheta_i`
88.4%	1	`u1`
88.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
88.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
88.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
88.4%	1	`u2`
88.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes59.0ms (0.5%)

Memory

-28.7MiB live, 92.9MiB allocated

Counts

19 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

10.0ms	cosTheta_i
9.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
80.8%	1	`cosTheta_i`
87.0%	2	`u1`
86.9%	2	`u2`
87.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
87.0%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
87.0%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.9%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes47.0ms (0.4%)

Memory

7.0MiB live, 82.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	u1

Results

Accuracy	Segments	Branch
86.4%	2	`u2`
86.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
86.6%	2	`u1`
86.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes132.0ms (1%)

Memory

11.9MiB live, 50.4MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

7 calls:

106.0ms	u1
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
84.5%	2	`u2`
84.5%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
80.7%	1	`u1`
80.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
80.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
84.0%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes33.0ms (0.3%)

Memory

-21.3MiB live, 25.7MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

21.0ms	u2
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	cosTheta_i
3.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
80.7%	1	`cosTheta_i`
80.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
80.7%	1	`u2`
80.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
80.7%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 35 to 28 computations (20% saved)

regimes21.0ms (0.2%)

Memory

8.7MiB live, 47.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
74.4%	1	`u2`
74.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.4%	1	`u1`
74.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.4%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
74.4%	1	`cosTheta_i`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes18.0ms (0.1%)

Memory

1.2MiB live, 40.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
70.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
70.9%	1	`u1`
70.9%	1	`u2`
70.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
70.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
70.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
70.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
70.9%	1	`cosTheta_i`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

-7.5MiB live, 31.7MiB allocated

Accuracy

Total -14.0b remaining (-118.5%)

Threshold costs -14b (-118.5%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
63.0%	1	`cosTheta_i`
63.0%	1	`u1`
63.0%	1	`u2`
63.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
63.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
63.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
63.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
63.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.084921695291996	0.08812622725963593

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.015950987115502357	0.01621180772781372

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.058674298226833344	0.06406065821647644

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.025419361889362335	0.027357187122106552

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999864101409912	0.999986469745636

Compiler

Compiled 17 to 17 computations (0% saved)

simplify13.0ms (0.1%)

Memory

18.6MiB live, 18.6MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	538
1	108	538
2	111	538
3	113	538
4	114	538

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11408507/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8589935/536870912 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 16106127/268435456 binary32)) #s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16776989/16777216 binary32)) #s(approx ( (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11408507/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 11408507/134217728 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8589935/536870912 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 8589935/536870912 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 16106127/268435456 binary32)) #s(approx (* (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 #s(approx (/ 1 (+ -1 (/ 1 u1))) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 3489661/134217728 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (cos ( 314159265359/50000000000 u2)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))) #s(approx ( (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16776989/16777216 binary32)) #s(approx ( (pow (+ (/ 1 u1) -1) -1/2) (cos (* 314159265359/50000000000 u2))) #s(approx (* (+ (* -98696044010906577398881/5000000000000000000000 (* u2 u2)) 1) (sqrt (/ 1 (+ -1 (/ 1 u1))))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)))

soundness1.2s (9.3%)

Memory

-42.7MiB live, 865.3MiB allocated

Rules

19 904×	`lower-fma.f64`
19 904×	`lower-fma.f32`
12 472×	`lower-fma.f64`
12 472×	`lower-fma.f32`
9 918×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	325	4375
1	1001	3864
2	3013	3609
3	6580	3593
0	8242	3424
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32
0	540	7802
1	1793	6657
2	6557	6256
0	8165	5886
0	193	978
1	554	887
2	1623	819
3	4916	767
0	8214	735

Stop Event

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

Compiler

Compiled 552 to 210 computations (62% saved)

preprocess146.0ms (1.1%)

Memory

23.6MiB live, 100.3MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 814 to 220 computations (73% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

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

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

analyze276.0ms (2.1%)

sample1.9s (14.6%)

preprocess40.0ms (0.3%)

explain170.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize38.0ms (0.3%)

series11.0ms (0.1%)

simplify436.0ms (3.3%)

rewrite422.0ms (3.2%)

eval62.0ms (0.5%)

prune159.0ms (1.2%)

simplify485.0ms (3.7%)

localize205.0ms (1.6%)

series60.0ms (0.5%)

simplify432.0ms (3.3%)

rewrite544.0ms (4.2%)

eval220.0ms (1.7%)

prune301.0ms (2.3%)

simplify287.0ms (2.2%)

localize223.0ms (1.7%)

series51.0ms (0.4%)

simplify454.0ms (3.5%)

rewrite508.0ms (3.9%)

eval189.0ms (1.5%)

prune313.0ms (2.4%)

simplify354.0ms (2.7%)

localize289.0ms (2.2%)

series47.0ms (0.4%)

simplify754.0ms (5.8%)

rewrite561.0ms (4.3%)

eval207.0ms (1.6%)

prune355.0ms (2.7%)

regimes271.0ms (2.1%)

regimes158.0ms (1.2%)

regimes123.0ms (0.9%)

regimes148.0ms (1.1%)

regimes105.0ms (0.8%)

regimes93.0ms (0.7%)

regimes75.0ms (0.6%)

regimes59.0ms (0.5%)

regimes47.0ms (0.4%)

regimes132.0ms (1%)

regimes33.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.1%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify13.0ms (0.1%)

soundness1.2s (9.3%)

preprocess146.0ms (1.1%)

end0.0ms (0%)

Profiling

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

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