Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze312.0ms (2.4%)

Memory

-14.4MiB live, 549.0MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.6s (12.5%)

Memory

63.8MiB live, 2 503.2MiB allocated

Samples

1.3s	8 256×	0	valid
1.0ms	5×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.0s

const: 414.0ms (41% of total)

ival-<=: 127.0ms (12.6% of total)

ival-cos: 122.0ms (12.1% of total)

ival-mult: 115.0ms (11.4% of total)

ival-div: 60.0ms (5.9% of total)

ival-sqrt: 59.0ms (5.8% of total)

ival-sub: 49.0ms (4.9% of total)

ival-and: 31.0ms (3.1% of total)

ival->: 26.0ms (2.6% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess41.0ms (0.3%)

Memory

-31.2MiB live, 49.5MiB 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)

explain113.0ms (0.9%)

Memory

-5.1MiB live, 203.3MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f32`	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`	sensitivity	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

52.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 13.0ms (35.4% of total)

const: 7.0ms (19% of total)

ival-cos: 5.0ms (13.6% of total)

ival-div: 4.0ms (10.9% of total)

ival-sub: 3.0ms (8.2% of total)

ival-sqrt: 3.0ms (8.2% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.9%	(.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)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize36.0ms (0.3%)

Memory

-8.9MiB live, 68.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.6%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.6%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

24.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

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

const: 5.0ms (30.5% of total)

ival-mult: 3.0ms (18.3% of total)

ival-cos: 3.0ms (18.3% of total)

ival-div: 2.0ms (12.2% of total)

ival-sqrt: 2.0ms (12.2% of total)

ival-sub: 1.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated

Counts

4 → 60

Calls

Call 1

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

Outputs
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt (* (sqrt u1) (cos (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (cos (* 314159265359/50000000000 u2)))) (* (sqrt u1) (cos (* 314159265359/50000000000 u2))))>
#<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)))))))>
#<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)))))))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (cos (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<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))))>
#<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)))))>
#<alt (* (cos (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (cos (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<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)))>
#<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)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* -98696044010906577398881/5000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))>
#<alt (+ (sqrt (/ u1 (- 1 u1))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))))))>
#<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)))))))))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (/ u1 (- 1 u1))) (cos (* 314159265359/50000000000 u2)))>

Calls

15 calls:

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

rewrite259.0ms (2%)

Memory

0.1MiB live, 352.2MiB 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	25
0	16	25
1	46	25
2	237	25
3	1955	25
0	9670	25

Stop Event

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

Counts

4 → 292

Calls

Call 1

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

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

simplify536.0ms (4.1%)

Memory

41.3MiB live, 737.6MiB allocated

Algorithm

1×	egg-herbie

Rules

21 602×	`lower-fma.f64`
21 602×	`lower-fma.f32`
6 628×	`lower-*.f64`
6 628×	`lower-*.f32`
4 026×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	173	874
1	506	783
2	1502	715
3	4644	664
0	8064	640

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 59

Calls

Call 1

Inputs
(* 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)
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(sqrt u1)
(+ (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) (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)))

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

eval38.0ms (0.3%)

Memory: -3.6MiB live, 89.7MiB allocated
Compiler: Compiled 7 893 to 1 271 computations (83.9% saved)

prune67.0ms (0.5%)

Memory

-20.8MiB live, 175.5MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	326	25	351
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	326	26	352

Accuracy

99.7%

Counts

352 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	95.0%	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	90.9%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	90.6%	(.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	88.8%	(.f32 (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)))
	87.4%	(.f32 (/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 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)))
	91.2%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	73.9%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	92.2%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.4%	(.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)))
	91.6%	(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.8%	(.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)))
	72.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.3%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.2%	(.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 (.f32 u1 u1) (.f32 u1 u1) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.6%	(.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)))
	85.1%	(.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)))
	76.3%	(.f32 (sqrt.f32 u1) (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)))
▶	82.8%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Compiler

Compiled 1 060 to 705 computations (33.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize149.0ms (1.1%)

Memory

18.3MiB live, 320.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.2%	(/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.3%	(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
✓	accuracy	99.6%	(sqrt.f32 (.f32 u1 (.f32 u1 u1)))
✓	accuracy	99.4%	(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	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u1)
✓	accuracy	99.6%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.6%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.2%	(/.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)))))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.0%	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))

Samples

81.0ms

256×

valid

Compiler

Compiled 367 to 44 computations (88% saved)

Precisions

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

ival-mult: 17.0ms (27.6% of total)

ival-sqrt: 15.0ms (24.3% of total)

ival-div: 10.0ms (16.2% of total)

ival-add: 10.0ms (16.2% of total)

const: 4.0ms (6.5% of total)

ival-cos: 3.0ms (4.9% of total)

ival-sub: 2.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series20.0ms (0.1%)

Memory

1.7MiB live, 38.7MiB allocated

Counts

16 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite434.0ms (3.3%)

Memory

-32.3MiB live, 555.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 470×	`lower-fma.f64`
4 464×	`lower-fma.f32`
4 436×	`lower-/.f64`
4 426×	`lower-/.f32`
3 182×	`lower-*.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	146
0	67	112
1	244	102
2	1775	102
0	8375	102

Stop Event

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

Counts

16 → 942

Calls

Call 1

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

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

simplify613.0ms (4.7%)

Memory

14.5MiB live, 605.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 072×	`lower-fma.f64`
12 072×	`lower-fma.f32`
4 972×	`lower-*.f64`
4 972×	`lower-*.f32`
4 524×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	2675
1	1201	2327
2	3632	2139
3	7649	2139
0	8165	2019

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 213

Calls

Call 1

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

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

eval236.0ms (1.8%)

Memory: 1.4MiB live, 239.9MiB allocated
Compiler: Compiled 47 647 to 5 363 computations (88.7% saved)

prune487.0ms (3.7%)

Memory

15.8MiB live, 489.9MiB allocated

Pruning

49 alts after pruning (46 fresh and 3 done)

	Pruned	Kept	Total
New	1 529	34	1 563
Fresh	8	12	20
Picked	3	2	5
Done	0	1	1
Total	1 540	49	1 589

Accuracy

99.7%

Counts

1 589 → 49

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	95.0%	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	71.6%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))))
▶	88.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	75.0%	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
	82.6%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	82.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	88.1%	(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.9%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	85.3%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
	82.0%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
	84.9%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	69.2%	(.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))))
	87.4%	(.f32 (/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 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)))
▶	82.3%	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
	88.4%	(.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.0%	(.f32 (.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)))
	71.2%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
	87.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
✓	92.2%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.4%	(.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)))
▶	91.6%	(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.9%	(.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)))))) (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)))
	93.4%	(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
	90.8%	(.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
	72.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.3%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.9%	(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.8%	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
	77.8%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
	74.8%	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	82.8%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	64.7%	(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
	82.9%	(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))
	82.7%	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
▶	66.3%	(sqrt.f32 u1)

Compiler

Compiled 2 113 to 1 284 computations (39.2% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize174.0ms (1.3%)

Memory

2.3MiB live, 327.9MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))
✓	accuracy	99.7%	(sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
✓	accuracy	99.4%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2))
✓	accuracy	98.8%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.4%	(sqrt.f32 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.5%	(/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.2%	(/.f32 u1 (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.1%	(*.f32 (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

114.0ms

256×

valid

Compiler

Compiled 347 to 43 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

const: 37.0ms (38.7% of total)

ival-mult: 26.0ms (27.2% of total)

ival-div: 12.0ms (12.6% of total)

ival-add: 8.0ms (8.4% of total)

ival-sqrt: 8.0ms (8.4% of total)

ival-cos: 3.0ms (3.1% of total)

ival-sub: 1.0ms (1% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-13.6MiB live, 62.6MiB allocated

Counts

15 → 228

Calls

Call 1

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

Outputs
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
#<alt (* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 u1)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)>
#<alt u1>
#<alt (* u1 (+ 1 (* -1 u1)))>
#<alt (* u1 (+ 1 (* u1 (- u1 1))))>
#<alt (* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 u1))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))>
#<alt (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))>
#<alt 1>
#<alt (- 1 (/ 1 u1))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 (pow u1 2)))>
#<alt (* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))>
#<alt (* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)>
#<alt (/ -1 u1)>
#<alt (* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (sqrt u1)>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (sqrt u1)>
#<alt (+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))>
#<alt (sqrt -1)>
#<alt (- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt 1>
#<alt (+ 1 (* -1/2 u1))>
#<alt (+ 1 (* u1 (- (* -1/8 u1) 1/2)))>
#<alt (+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))>
#<alt (* (sqrt u1) (sqrt -1))>
#<alt (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))>
#<alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))>
#<alt (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))>
#<alt (* -1 (* (sqrt u1) (sqrt -1)))>
#<alt (* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))>
#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))>
#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 u1))>
#<alt (+ 1 (* u1 (+ 1/2 (* 3/8 u1))))>
#<alt (+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))>
#<alt (* (sqrt (/ 1 u1)) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))>
#<alt (* (sqrt (/ 1 u1)) (sqrt -1))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))>
#<alt (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))>
#<alt (+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))>
#<alt (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))))>
#<alt (* (sqrt (pow u1 3)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))))>
#<alt (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))>
#<alt (* (sqrt (pow u1 3)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))>
#<alt (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))))>
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Calls

57 calls:

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

rewrite490.0ms (3.7%)

Memory

16.8MiB live, 704.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 968×	`lower-/.f64`
4 960×	`lower-/.f32`
4 462×	`lower-fma.f64`
4 452×	`lower-fma.f32`
4 178×	`lower-*.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	154
0	61	151
1	220	147
2	1584	137
0	8527	137

Stop Event

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

Counts

15 → 883

Calls

Call 1

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

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

simplify447.0ms (3.4%)

Memory

-6.8MiB live, 782.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 088×	`lower-fma.f64`
12 088×	`lower-fma.f32`
7 572×	`lower-*.f64`
7 572×	`lower-*.f32`
3 590×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	561	4394
1	1785	3741
2	6315	3504
0	8296	3232

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 224

Calls

Call 1

Inputs
(* 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)
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 (* -1 u1)))
(* u1 (+ 1 (* u1 (- u1 1))))
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
1
(- 1 (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
1
(- 1 (/ 1 u1))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
u1
(* u1 (+ 1 (pow u1 2)))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(/ -1 u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) 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)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
1
(+ 1 (* -1/2 u1))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(* (sqrt u1) (sqrt -1))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* (sqrt u1) (sqrt -1)))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
1
(+ 1 (* 1/2 u1))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))))
(* (sqrt (pow u1 3)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))
(* (sqrt (pow u1 3)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/8 (* (sqrt u1) (/ (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (pow (sqrt -1) 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))
(* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (pow u2 4) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))
(* (sqrt u1) (pow u2 2))
(+ (* 1/2 (* (sqrt (pow u1 3)) (pow u2 2))) (* (sqrt u1) (pow u2 2)))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(+ (* (sqrt u1) (pow u2 2)) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -1/8 (* (sqrt (/ 1 u1)) (pow u2 2))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(* (sqrt (pow u1 3)) (pow u2 2))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (* (sqrt (/ 1 u1)) (pow u2 2))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow u2 2))) (* (sqrt (/ 1 u1)) (pow u2 2)))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (pow u2 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow u2 2))) (* (sqrt (/ 1 u1)) (pow u2 2))))))
(* (sqrt (pow u1 3)) (* (pow u2 2) (pow (sqrt -1) 2)))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (pow u2 2))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (sqrt -1) 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (pow u2 2))) (* 1/8 (* (sqrt u1) (/ (pow u2 2) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (pow u2 2))) (* (sqrt (/ 1 u1)) (* (pow u2 2) (pow (sqrt -1) 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))
(sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(+ (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))))
(* (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 (+ (* -1/8 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/2 (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))))
(* (sqrt (pow u1 3)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))
(* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(* (sqrt (pow u1 3)) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))))))
(* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 5))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (sqrt u1) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* 1/8 (* (sqrt u1) (/ (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))) (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))) (* (sqrt (/ 1 u1)) (* (pow (sqrt -1) 2) (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/8 (sqrt (/ 1 u1))) (* 1/2 (sqrt (/ 1 u1))))))))
(sqrt (pow u1 3))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (* 1/2 (sqrt (/ 1 (pow u1 3))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5)))))))
(* (pow u1 2) (+ (sqrt (/ 1 u1)) (+ (* -1/8 (sqrt (/ 1 (pow u1 5)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* 1/2 (sqrt (/ 1 (pow u1 5))))))))
(* (sqrt (pow u1 3)) (pow (sqrt -1) 2))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 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))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -11/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(cos (* 314159265359/50000000000 u2))
(+ (cos (* 314159265359/50000000000 u2)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -11/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(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 u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))) (* 11/16 (/ 1 (pow u1 3))))
1
(+ 1 (* 1/2 (/ 1 u1)))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 11/16 (/ 1 u1))) u1)) 1/2) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 (* -1 u1)))))))
1
(+ 1 (/ 1 u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(- (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) (/ 1 (pow u1 3)))
1
(+ 1 (/ 1 u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)))

Outputs
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1)
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #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))
u1
(* u1 (+ 1 (* -1 u1)))
(fma.f32 u1 (neg.f32 u1) u1)
(* u1 (+ 1 (* u1 (- u1 1))))
(fma.f32 u1 (fma.f32 u1 u1 (neg.f32 u1)) u1)
(* u1 (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(fma.f32 (*.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1)
1
#s(literal 1 binary32)
(- 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1))
(+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) u1) (/.f32 #s(literal -1 binary32) u1)))
1
#s(literal 1 binary32)
(- 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))
(+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))
(-.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 (+ 1 (pow u1 2)))
(fma.f32 u1 (*.f32 u1 u1) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)) u1)
(* u1 (+ 1 (* (pow u1 2) (+ 1 (* (pow u1 2) (+ 1 (pow u1 2)))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32)) u1) u1)
(/ -1 u1)
(/.f32 #s(literal -1 binary32) u1)
(* -1 (/ (+ 1 (/ 1 (pow u1 2))) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 2))) 1) u1)
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (.f32 u1 u1))) u1)
(/ (- (* -1 (/ (+ 1 (/ 1 (pow u1 2))) (pow u1 4))) (+ 1 (/ 1 (pow u1 2)))) u1)
(/.f32 (+.f32 (/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))) (.f32 u1 (.f32 u1 (.f32 u1 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 (/ 1 (pow u1 2))) u1))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))) u1)
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 4)))) u1))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (neg.f32 u1))
(* -1 (/ (+ 1 (+ (/ 1 (pow u1 2)) (+ (/ 1 (pow u1 4)) (/ 1 (pow u1 6))))) u1))
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 (.f32 u1 u1)))))) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32)))) (neg.f32 u1))
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(* -1 (* (sqrt u1) (pow (sqrt -1) 2)))
(sqrt.f32 u1)
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1/2 binary32) (.f32 u1 #s(literal 1/2 binary32))) (.f32 (.f32 u1 (*.f32 (sqrt.f32 u1) #s(literal 1/2 binary32))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (sqrt.f32 u1))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(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 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5/16 binary32)) u1)) (neg.f32 u1))) u1))
1
#s(literal 1 binary32)
(+ 1 (* -1/2 u1))
(fma.f32 u1 #s(literal -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* u1 (- (* -1/8 u1) 1/2)))
(fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (- (* u1 (- (* -1/16 u1) 1/8)) 1/2)))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal -1/16 binary32) #s(literal -1/8 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32))
(* (sqrt u1) (sqrt -1))
(*.f32 (sqrt.f32 u1) (sqrt.f32 #s(literal -1 binary32)))
(* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(.f32 u1 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(.f32 u1 (fma.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(.f32 u1 (fma.f32 #s(literal 1/8 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1))) (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (pow.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* -1 (* (sqrt u1) (sqrt -1)))
(*.f32 (sqrt.f32 u1) (neg.f32 (sqrt.f32 #s(literal -1 binary32))))
(* -1 (* u1 (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(.f32 u1 (.f32 (neg.f32 (sqrt.f32 #s(literal -1 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))))
(.f32 (neg.f32 u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (sqrt -1))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))))))
(.f32 (neg.f32 u1) (.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -1/8 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1))) (*.f32 #s(literal 1/16 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))))))))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 u1))
(fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* 3/8 u1))))
(fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(+ 1 (* u1 (+ 1/2 (* u1 (+ 3/8 (* 5/16 u1))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32)))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1))))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 7))) (/ (+ 1 (* 1/4 (/ u1 (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 u1)) (sqrt -1)))))
(fma.f32 #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 7 binary32)))) (/.f32 (fma.f32 #s(literal 1/4 binary32) (/.f32 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (sqrt.f32 #s(literal -1 binary32))))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ 1 u1)) (sqrt -1))
(*.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1)))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 5))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (*.f32 u1 u1))) u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt u1) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sqrt -1) (+ 1 (* -1/4 u1)))))) (pow u1 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (sqrt -1))) (* (sqrt (/ 1 u1)) (sqrt -1))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal -1/4 binary32) #s(literal 1 binary32)) (sqrt.f32 u1)))) (.f32 u1 (.f32 u1 u1))))
(* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))
(.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(+ (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))))))))
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(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 5)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 (.f32 u1 u1))) u1)))) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (sqrt u1)) (* 1/8 (* (sqrt u1) (/ 1 (pow (sqrt -1) 2))))) (pow u1 3))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (-.f32 (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (/.f32 (.f32 (sqrt.f32 u1) #s(literal -5/8 binary32)) (.f32 u1 (*.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 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 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) #s(literal -1/2 binary32))) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (.f32 (sqrt.f32 u1) (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)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1))))
(fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (cos (* 314159265359/50000000000 u2)) (+ (* -11/16 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (cos (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))))
(fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)) (fma.f32 #s(literal -11/16 binary32) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (.f32 u1 u1))) (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)) (* 1/2 (/ (cos (* 314159265359/50000000000 u2)) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (cos (* 314159265359/50000000000 u2))) (* -3/8 (/ (cos (* 314159265359/50000000000 u2)) u1))) u1)))
(-.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 #s(literal -3/8 binary32) (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1))
(+ (cos (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* -11/16 (/ (cos (* 314159265359/50000000000 u2)) u1)) (* 3/8 (cos (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (cos (* 314159265359/50000000000 u2)))) u1)))
(-.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (/.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) #s(literal -11/16 binary32) (.f32 #s(literal 3/8 binary32) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 u1))) u1))
(sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))
(sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* -98696044010906577398881/5000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(+ (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))) (* (pow u2 2) (+ (* -98696044010906577398881/5000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))) (* (pow u2 2) (+ (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))) (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3))))))))))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(* (cos (* 314159265359/50000000000 u2)) (sqrt (/ (+ u1 (* u1 (+ u1 (pow u1 2)))) (+ 1 (pow u1 3)))))
(.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 #s(literal 1/2 binary32) (.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 u1 u1)) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 u1))))) (* 1/2 (sqrt (/ 1 u1))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (.f32 (sqrt.f32 u1) #s(literal -1/2 binary32)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/4 binary32) u1)) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (sqrt.f32 u1))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))))
(- (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))) (* 11/16 (/ 1 (pow u1 3))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 (/.f32 (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal -11/16 binary32) u1)) u1) u1)))
1
#s(literal 1 binary32)
(+ 1 (* 1/2 (/ 1 u1)))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1))
(+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1/2 binary32) u1) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (- 3/8 (* 11/16 (/ 1 u1))) u1)) 1/2) u1)))
(-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1/2 binary32) (/.f32 (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal -11/16 binary32) 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 (* -1 u1)))))))
(fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)
1
#s(literal 1 binary32)
(+ 1 (/ 1 u1))
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(- (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) (/ 1 (pow u1 3)))
(+.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (/.f32 (/.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) (/.f32 #s(literal 1 binary32) u1))
(+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2))))
(+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 u1 u1))))
(+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 u1)) u1)) 1) u1)))
(-.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))

eval139.0ms (1.1%)

Memory: 8.3MiB live, 327.0MiB allocated
Compiler: Compiled 39 955 to 4 368 computations (89.1% saved)

prune258.0ms (2%)

Memory

1.3MiB live, 562.9MiB allocated

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1 161	20	1 181
Fresh	8	33	41
Picked	4	1	5
Done	0	3	3
Total	1 173	57	1 230

Accuracy

99.8%

Counts

1 230 → 57

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.0%	(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	95.0%	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	88.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	88.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
	88.4%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32))))
	88.1%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
	88.1%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
	73.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	88.1%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	75.0%	(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
	82.6%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	91.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	82.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	88.1%	(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.9%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.4%	(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
	77.9%	(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
	75.0%	(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
	85.3%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
	82.0%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
▶	84.9%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	69.2%	(.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))))
	90.7%	(.f32 (pow.f32 (pow.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	78.8%	(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
	88.4%	(.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.0%	(.f32 (.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)))
	71.2%	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
▶	91.6%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
	87.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
✓	92.2%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.9%	(.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)))))) (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)))
▶	90.8%	(.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
	72.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.3%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1))) (.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.3%	(.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) #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)))
▶	99.0%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
	77.8%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
▶	74.8%	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	82.8%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	64.7%	(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
	82.9%	(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))
	82.7%	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
✓	66.3%	(sqrt.f32 u1)

Compiler

Compiled 2 680 to 1 540 computations (42.5% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize167.0ms (1.3%)

Memory

14.5MiB live, 363.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.6%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.4%	(.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 u1))))
✓	accuracy	99.2%	(/.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)))))
✓	accuracy	99.0%	(*.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))))
✓	accuracy	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	100.0%	(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
✓	accuracy	99.8%	(fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32))
✓	accuracy	99.6%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
✓	accuracy	99.4%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
✓	accuracy	100.0%	(fma.f32 u1 u1 u1)
✓	accuracy	99.7%	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	accuracy	99.6%	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
✓	accuracy	99.2%	(.f32 u1 (.f32 u1 u1))
✓	accuracy	99.1%	(.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

93.0ms

256×

valid

Compiler

Compiled 437 to 50 computations (88.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

ival-mult: 27.0ms (37.8% of total)

ival-add: 13.0ms (18.2% of total)

ival-sqrt: 10.0ms (14% of total)

const: 8.0ms (11.2% of total)

ival-div: 7.0ms (9.8% of total)

ival-cos: 3.0ms (4.2% of total)

ival-sub: 2.0ms (2.8% of total)

ival-neg: 1.0ms (1.4% of total)

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

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

exact: 0.0ms (0% of total)

series15.0ms (0.1%)

Memory

-18.1MiB live, 25.0MiB allocated

Counts

17 → 228

Calls

Call 1

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

Outputs
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 (* u1 (+ 1 u1))))>
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#<alt 1>
#<alt (+ 1 (* -98696044010906577398881/5000000000000000000000 (pow u2 2)))>
#<alt (+ 1 (* (pow u2 2) (- (* 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow u2 2)) 98696044010906577398881/5000000000000000000000)))>
#<alt (+ 1 (* (pow u2 2) (- (* (pow u2 2) (+ 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (* -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 98696044010906577398881/5000000000000000000000)))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>
#<alt (cos (* 314159265359/50000000000 u2))>

Calls

57 calls:

Time	Variable		Point	Expression
5.0ms	u2	@	inf	(* (sqrt (+ (* u1 (+ (* u1 (+ (* u1 (neg u1)) u1)) u1)) u1)) (cos (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (+ (* u1 (+ (* u1 (+ (* u1 (neg u1)) u1)) u1)) u1)) (cos (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(* (sqrt (+ (* u1 (+ (* u1 (+ (* u1 (neg u1)) u1)) u1)) u1)) (cos (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(sqrt (+ (* u1 (+ (* u1 (+ (* u1 (neg u1)) u1)) u1)) u1))
0.0ms	u1	@	-inf	(sqrt (+ (* u1 (+ (* u1 (+ (* u1 (neg u1)) u1)) u1)) u1))

rewrite384.0ms (2.9%)

Memory

36.4MiB live, 551.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 478×	`lower-*.f64`
4 472×	`lower-/.f64`
4 464×	`lower-/.f32`
4 460×	`lower-*.f32`
3 514×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	173
0	76	157
1	311	145
2	2590	145
0	9042	145

Stop Event

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

Counts

17 → 888

Calls

Call 1

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

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

simplify391.0ms (3%)

Memory

-15.1MiB live, 649.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 284×	`lower-fma.f64`
13 284×	`lower-fma.f32`
6 480×	`lower-*.f64`
6 480×	`lower-*.f32`
4 446×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	452	3234
1	1507	2737
2	5128	2577
0	8309	2383

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 222

Calls

Call 1

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

eval412.0ms (3.1%)

Memory: -176.2MiB live, 364.2MiB allocated
Compiler: Compiled 54 346 to 5 018 computations (90.8% saved)

prune245.0ms (1.9%)

Memory

1.1MiB live, 602.3MiB allocated

Pruning

79 alts after pruning (71 fresh and 8 done)

	Pruned	Kept	Total
New	1 287	29	1 316
Fresh	6	42	48
Picked	1	4	5
Done	0	4	4
Total	1 294	79	1 373

Accuracy

99.8%

Counts

1 373 → 79

Alt Table

Click to see full alt table

Status	Accuracy	Program
	88.0%	(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
	71.0%	(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
	95.0%	(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	88.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	88.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
	88.1%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
	73.5%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
	88.1%	(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	84.9%	(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	84.8%	(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
	74.7%	(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
	82.6%	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.6%	(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	91.4%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
	82.6%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
	19.9%	(+.f32 u1 #s(literal 1/2 binary32))
	3.9%	(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
	88.1%	(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.0%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
	90.9%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	79.4%	(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
	77.9%	(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
	75.0%	(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
	85.3%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
	84.2%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
	84.6%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
	84.8%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
	84.7%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
✓	84.9%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	81.6%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
	69.2%	(.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))))
	84.9%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
	19.3%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 u1))))
	71.0%	(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
	78.8%	(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
	91.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) (neg.f32 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) (neg.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.9%	(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	88.4%	(.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.0%	(.f32 (.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)))
	86.7%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
	88.0%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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)))
✓	91.6%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
	87.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
✓	92.2%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.5%	(.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.9%	(.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)))))) (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)))
	90.8%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
	72.0%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
	93.5%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
✓	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.3%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.4%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1))) (.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	74.7%	(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
	94.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	94.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.4%	(.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.9%	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
	96.3%	(.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) #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)))
	93.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
	95.0%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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)))
✓	99.0%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	4.1%	(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
	71.0%	(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
	76.3%	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.5%	(.f32 (exp.f32 (.f32 (log.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) #s(literal 1/2 binary32))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
	77.8%	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
✓	74.8%	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	82.8%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
	64.7%	(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
	82.9%	(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))
	82.7%	(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
	74.8%	(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
	19.0%	(sqrt.f32 (*.f32 u1 u1))
✓	66.3%	(sqrt.f32 u1)
	4.2%	(neg.f32 u1)

Compiler

Compiled 4 088 to 1 447 computations (64.6% saved)

regimes293.0ms (2.2%)

Memory

-1.6MiB live, 436.2MiB allocated

Counts

109 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (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 (-.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32))))
(.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)))))) (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)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 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 (.f32 u1 u1) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (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)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (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 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32))) (.f32 (+.f32 u1 #s(literal -1 binary32)) u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 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)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 (fma.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 u1)) (.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (fma.f32 (.f32 u1 (.f32 u1 u1)) #s(literal 1/4 binary32) (neg.f32 u1)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/2 binary32) (.f32 u1 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 u1))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.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)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.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)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (.f32 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1))) (.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) (neg.f32 u1)) (.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) (neg.f32 u1)))))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (.f32 (neg.f32 (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)))) (/.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 u1 #s(literal -1 binary32))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (+.f32 #s(literal 1 binary32) u1) (.f32 (+.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) u1)))) (neg.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u1)) (.f32 (/.f32 u1 (-.f32 #s(literal -1 binary32) u1)) (/.f32 u1 (-.f32 #s(literal -1 binary32) u1))))))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 u1 (.f32 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (+.f32 u1 #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (-.f32 u1 (.f32 u1 u1))))) (-.f32 #s(literal 1 binary32) u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 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 (.f32 u1 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 (fma.f32 u1 (fma.f32 u1 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 (pow.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u1)) (/.f32 (+.f32 #s(literal 1 binary32) u1) u1))) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (exp.f32 (.f32 (log.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)) #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 (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)))

Outputs

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

Calls

8 calls:

48.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
47.0ms	u1
34.0ms	cosTheta_i
33.0ms	u2
33.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

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)

regimes306.0ms (2.3%)

Memory

-28.7MiB live, 270.4MiB allocated

Counts

83 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (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 (-.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32))))
(.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)))))) (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)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 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 (.f32 u1 u1) u1) (+.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (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)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (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 (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)) (-.f32 #s(literal 1 binary32) 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)))

Calls

8 calls:

79.0ms	u1
46.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
31.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
30.0ms	u2
24.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
98.9%	1	`cosTheta_i`
98.9%	1	`u2`
98.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.9%	1	`u1`
98.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes275.0ms (2.1%)

Memory

36.1MiB live, 190.1MiB allocated

Counts

73 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (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 (-.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32))))
(.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)))))) (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)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

8 calls:

93.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
41.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
33.0ms	u1
27.0ms	u2
20.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
95.0%	1	`cosTheta_i`
98.6%	2	`u1`
98.6%	2	`u2`
98.6%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.6%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes227.0ms (1.7%)

Memory

7.4MiB live, 199.1MiB allocated

Counts

71 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (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 (-.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32))))
(.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)))))) (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)))

Outputs

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

Calls

7 calls:

44.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
38.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
36.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
34.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
32.0ms	u1

Results

Accuracy	Segments	Branch
95.0%	1	`u1`
95.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
95.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.4%	2	`u2`
98.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
98.3%	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)

regimes283.0ms (2.2%)

Memory

-21.3MiB live, 263.4MiB allocated

Counts

68 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)) (*.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (fma.f32 u1 (fma.f32 u1 u1 u1) (neg.f32 u1)))))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 u1))))) (sqrt.f32 (-.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))))
(fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (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 (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 (-.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)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))) (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)))
(fma.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))))))))
(.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)))))) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 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)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))

Outputs

(*.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (*.f32 u1 (*.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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)))

Calls

8 calls:

50.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
48.0ms	u2
39.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
35.0ms	u1

Results

Accuracy	Segments	Branch
95.0%	1	`cosTheta_i`
95.0%	1	`u1`
95.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
95.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
95.0%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
95.0%	1	`u2`
95.0%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
95.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes262.0ms (2%)

Memory

32.5MiB live, 226.6MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) (sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 u1))) (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 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(fma.f32 (.f32 u2 u2) (.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))

Outputs

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

Calls

8 calls:

63.0ms	u1
46.0ms	u2
40.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
35.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
34.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes346.0ms (2.6%)

Memory

-31.9MiB live, 256.1MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 (*.f32 u1 u1) u1 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32) #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) u1)) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 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) (.f32 u1 (*.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(/.f32 (sqrt.f32 (-.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))))) (sqrt.f32 (fma.f32 u1 (neg.f32 u1) u1)))
(fma.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (*.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 (neg.f32 u1) u1) u1) 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 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) (.f32 (.f32 u1 (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (.f32 (fma.f32 #s(literal 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -1 binary32)))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (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)))

Outputs

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

Calls

8 calls:

65.0ms	cosTheta_i
61.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
60.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
56.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms	u2

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes109.0ms (0.8%)

Memory

22.5MiB live, 246.8MiB allocated

Counts

40 → 2

Calls

Call 1

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

Outputs

(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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)))

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

Calls

8 calls:

16.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms	cosTheta_i
14.0ms	u2
13.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
13.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
94.5%	2	`u2`
94.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
90.9%	1	`cosTheta_i`
94.1%	2	`u1`
94.3%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
94.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
94.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
94.5%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes135.0ms (1%)

Memory

-7.8MiB live, 232.3MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))

Calls

8 calls:

32.0ms	u2
27.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	cosTheta_i
13.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
90.9%	1	`cosTheta_i`
90.9%	1	`u1`
90.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.9%	1	`u2`
90.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
90.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes88.0ms (0.7%)

Memory

16.5MiB live, 264.3MiB allocated

Counts

32 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))
(.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))))

Outputs

(*.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (*.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1)))

(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
89.9%	2	`u1`
89.4%	2	`u2`
89.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.8%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
84.9%	1	`cosTheta_i`
89.4%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes32.0ms (0.2%)

Memory

-33.3MiB live, 86.4MiB allocated

Counts

30 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1))
(.f32 (+.f32 (.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (*.f32 u2 u2)) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))

Outputs

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

(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))

Calls

3 calls:

11.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	u1
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
89.8%	2	`u1`
89.8%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.8%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes105.0ms (0.8%)

Memory

1.0MiB live, 159.8MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #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 u1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 (fma.f32 u1 #s(literal -1/8 binary32) #s(literal -1/2 binary32)) #s(literal 1 binary32))) (sqrt.f32 u1))

Outputs

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

(sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1)))

Calls

7 calls:

32.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
30.0ms	u2
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	u1
8.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
88.9%	2	`u2`
88.9%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
88.9%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
89.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
89.2%	2	`u1`
89.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes33.0ms (0.3%)

Memory

2.3MiB live, 79.8MiB allocated

Counts

24 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1)))
(*.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 #s(literal 5/16 binary32) #s(literal 3/8 binary32)) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal 98696044010906577398881/5000000000000000000000 binary32) #s(literal -1 binary32)))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
89.2%	2	`u1`
89.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
89.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
89.2%	2	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes51.0ms (0.4%)

Memory

1.0MiB live, 119.5MiB allocated

Counts

17 → 2

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (fma.f32 u1 (fma.f32 u1 #s(literal 3/8 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))
(*.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))

Calls

8 calls:

8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	cosTheta_i
7.0ms	(*.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	u1

Results

Accuracy	Segments	Branch
82.8%	1	`cosTheta_i`
86.8%	2	`u2`
86.8%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
86.8%	2	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.2%	2	`u1`
86.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.6%	2	`(.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)

regimes45.0ms (0.3%)

Memory

-7.2MiB live, 82.1MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Calls

7 calls:

17.0ms	u1
6.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
5.0ms	u2
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
82.8%	1	`u1`
82.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
82.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
82.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
82.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
82.8%	1	`u2`
82.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 52 to 41 computations (21.2% saved)

regimes34.0ms (0.3%)

Memory

1.6MiB live, 80.4MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(sqrt.f32 (/.f32 u1 (+.f32 #s(literal 1 binary32) u1)))

Outputs
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
77.8%	1	`cosTheta_i`
77.8%	1	`u2`
77.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
77.8%	1	`u1`
77.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
77.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
77.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
77.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes30.0ms (0.2%)

Memory

-1.1MiB live, 78.0MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))

Outputs
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))

Calls

8 calls:

5.0ms	u1
4.0ms	(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes26.0ms (0.2%)

Memory

28.8MiB live, 68.4MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))

Outputs
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
74.8%	1	`u1`
74.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.8%	1	`u2`
74.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.8%	1	`cosTheta_i`
74.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes24.0ms (0.2%)

Memory

-13.5MiB live, 65.2MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))
(sqrt.f32 (fma.f32 u1 u1 u1))

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

Results

Accuracy	Segments	Branch
74.8%	1	`u1`
74.8%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
74.8%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
74.8%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
74.8%	1	`u2`
74.8%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
74.8%	1	`cosTheta_i`
74.8%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes23.0ms (0.2%)

Memory

-15.1MiB live, 63.9MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))
(sqrt.f32 u1)
(sqrt.f32 (*.f32 u1 u1))

Outputs
(sqrt.f32 u1)

Calls

8 calls:

4.0ms	cosTheta_i
3.0ms	u1
3.0ms	(.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 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
66.3%	1	`u1`
66.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
66.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
66.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
66.3%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
66.3%	1	`cosTheta_i`
66.3%	1	`u2`
66.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes16.0ms (0.1%)

Memory

11.4MiB live, 50.2MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(+.f32 #s(literal -1/2 binary32) (neg.f32 u1))

Outputs
(+.f32 u1 #s(literal 1/2 binary32))

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
19.9%	1	`cosTheta_i`
19.9%	1	`u2`
19.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
19.9%	1	`u1`
19.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
19.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
19.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
19.9%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes12.0ms (0.1%)

Memory

0.3MiB live, 38.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f32 u1)

Outputs
(neg.f32 u1)

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
4.2%	1	`u2`
4.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
4.2%	1	`cosTheta_i`
4.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
4.2%	1	`u1`
4.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
4.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
4.2%	1	`(cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.05072750151157379	0.05869334191083908

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5942956209182739	0.6113192439079285

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9996351003646851	0.9997097849845886

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006816154345870018	0.0070844125002622604

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.006816154345870018	0.0070844125002622604

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.026779519394040108	0.02713855914771557

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.026779519394040108	0.02713855914771557

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.009354275651276112	0.010021187365055084

Compiler

Compiled 17 to 17 computations (0% saved)

simplify18.0ms (0.1%)

Memory

-9.3MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Rules

60×	`*-commutative_binary32`
20×	`+-commutative_binary32`
10×	`sub-neg_binary32`
6×	`distribute-lft-neg-in_binary32`
6×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	488
1	141	488
2	152	488
3	159	488
4	162	488
5	163	488

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 7381975/134217728 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 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))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16772183/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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))) (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.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 14495515/536870912 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.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 14495515/536870912 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(neg.f32 u1)

Outputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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))))
(if (<=.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 7381975/134217728 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 7381975/134217728 binary32)) (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (fma.f32 (.f32 (.f32 u2 u2) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/5000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5033165/8388608 binary32)) (.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 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 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 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))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16772183/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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))) (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 16772183/16777216 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (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))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) u1))) (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))) (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 7516193/1073741824 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 u1 #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 14495515/536870912 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 14495515/536870912 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 (/.f32 u1 (fma.f32 (neg.f32 u1) u1 #s(literal 1 binary32))) (+.f32 u1 #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 14495515/536870912 binary32)) (.f32 (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32)) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) u1)))
(if (<=.f32 (.f32 (cos.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 14495515/536870912 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (fma.f32 #s(literal -98696044010906577398881/5000000000000000000000 binary32) (.f32 u2 u2) #s(literal 1 binary32))) (sqrt.f32 (*.f32 u1 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (sqrt.f32 u1) (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 5368709/536870912 binary32)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -98696044010906577398881/5000000000000000000000 binary32)) #s(literal 1 binary32)) (sqrt.f32 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)))
(sqrt.f32 (*.f32 (+.f32 u1 #s(literal 1 binary32)) u1))
(sqrt.f32 (*.f32 u1 (+.f32 u1 #s(literal 1 binary32))))
(sqrt.f32 (fma.f32 u1 u1 u1))
(sqrt.f32 u1)
(+.f32 u1 #s(literal 1/2 binary32))
(neg.f32 u1)

soundness2.1s (16.2%)

Memory

17.2MiB live, 1 797.3MiB allocated

Rules

21 602×	`lower-fma.f64`
21 602×	`lower-fma.f32`
13 284×	`lower-fma.f64`
13 284×	`lower-fma.f32`
12 088×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	2675
1	1201	2327
2	3632	2139
3	7649	2139
0	8165	2019
0	173	874
1	506	783
2	1502	715
3	4644	664
0	8064	640
0	39	173
0	76	157
1	311	145
2	2590	145
0	9042	145
0	452	3234
1	1507	2737
2	5128	2577
0	8309	2383
0	36	146
0	67	112
1	244	102
2	1775	102
0	8375	102
0	10	25
0	16	25
1	46	25
2	237	25
3	1955	25
0	9670	25
0	561	4394
1	1785	3741
2	6315	3504
0	8296	3232
0	32	154
0	61	151
1	220	147
2	1584	137
0	8527	137

Stop Event

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

Compiler

Compiled 1 116 to 522 computations (53.2% saved)

preprocess89.0ms (0.7%)

Memory

13.2MiB live, 201.9MiB allocated

Remove

(abs cosTheta_i)

(abs u2)

Compiler

Compiled 1 510 to 540 computations (64.2% 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	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

analyze312.0ms (2.4%)

sample1.6s (12.5%)

preprocess41.0ms (0.3%)

explain113.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize36.0ms (0.3%)

series8.0ms (0.1%)

rewrite259.0ms (2%)

simplify536.0ms (4.1%)

eval38.0ms (0.3%)

prune67.0ms (0.5%)

simplify0.0ms (0%)

localize149.0ms (1.1%)

series20.0ms (0.1%)

rewrite434.0ms (3.3%)

simplify613.0ms (4.7%)

eval236.0ms (1.8%)

prune487.0ms (3.7%)

simplify0.0ms (0%)

localize174.0ms (1.3%)

series27.0ms (0.2%)

rewrite490.0ms (3.7%)

simplify447.0ms (3.4%)

eval139.0ms (1.1%)

prune258.0ms (2%)

simplify0.0ms (0%)

localize167.0ms (1.3%)

series15.0ms (0.1%)

rewrite384.0ms (2.9%)

simplify391.0ms (3%)

eval412.0ms (3.1%)

prune245.0ms (1.9%)

regimes293.0ms (2.2%)

regimes306.0ms (2.3%)

regimes275.0ms (2.1%)

regimes227.0ms (1.7%)

regimes283.0ms (2.2%)

regimes262.0ms (2%)

regimes346.0ms (2.6%)

regimes109.0ms (0.8%)

regimes135.0ms (1%)

regimes88.0ms (0.7%)

regimes32.0ms (0.2%)

regimes105.0ms (0.8%)

regimes33.0ms (0.3%)

regimes51.0ms (0.4%)

regimes45.0ms (0.3%)

regimes34.0ms (0.3%)

regimes30.0ms (0.2%)

regimes26.0ms (0.2%)

regimes24.0ms (0.2%)

regimes23.0ms (0.2%)

regimes16.0ms (0.1%)

regimes12.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify18.0ms (0.1%)

soundness2.1s (16.2%)

preprocess89.0ms (0.7%)

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