Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze290.0ms (2.1%)

Memory

3.1MiB live, 647.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

sample1.5s (10.9%)

Memory

64.4MiB live, 2 862.2MiB allocated

Samples

1.2s	8 256×	0	valid
0.0ms	3×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 920.0ms

const: 360.0ms (39.1% of total)

ival-sin: 113.0ms (12.3% of total)

ival-<=: 107.0ms (11.6% of total)

ival-mult: 104.0ms (11.3% of total)

ival-div: 69.0ms (7.5% of total)

ival-sqrt: 57.0ms (6.2% of total)

ival-sub: 48.0ms (5.2% of total)

ival-and: 31.0ms (3.4% of total)

ival->: 23.0ms (2.5% of total)

exact: 5.0ms (0.5% of total)

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

Bogosity

preprocess52.0ms (0.4%)

Memory

-9.3MiB live, 67.6MiB allocated

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	117
1	78	112
2	132	112
3	243	110
4	470	110
5	854	110
6	1104	110
7	1238	110
8	1310	110
9	1356	110
10	1372	110
11	1376	110
0	10	11
1	16	11
2	20	11
3	25	11
4	32	11
5	42	11
6	57	11
7	80	11
8	102	11
9	110	11
10	112	11
0	112	11

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

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

Call 2

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))

Outputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ u1 (- -1 u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ (neg u1) (- 1 (neg u1)))) (sin (* 314159265359/50000000000 u2))))
(* (sqrt (/ u1 (- -1 u1))) (sin (* u2 -314159265359/50000000000)))
(neg (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 (neg u2)))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ cosTheta_i (- 1 cosTheta_i))) (sin (* 314159265359/50000000000 u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ cosTheta_i (- 1 cosTheta_i))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 cosTheta_i)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* 314159265359/50000000000 u1)))
(* (sqrt (/ u2 (- 1 u2))) (sin (* u1 314159265359/50000000000)))

Symmetry

(abs cosTheta_i)

(negabs u2)

explain141.0ms (1%)

Memory

-0.9MiB live, 158.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9999855160713196 0.0032739629969000816 0.988713264465332)	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
0	-	0	-	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u1)`
0	-	0	-	`u2`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`#s(literal 314159265359/50000000000 binary32)`
0	-	0	-	`u1`
0	-	0	-	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
0	-	0	-	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
0	-	0	-	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`

Confusion

	Predicted +	Predicted -
+	0	2
-	0	254

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	2
-	0	0	254

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

66.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

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

const: 7.0ms (22.8% of total)

ival-mult: 6.0ms (19.6% of total)

ival-sin: 6.0ms (19.6% of total)

ival-div: 4.0ms (13% of total)

ival-sub: 3.0ms (9.8% of total)

ival-sqrt: 3.0ms (9.8% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify7.0ms (0%)

Memory

5.8MiB live, 5.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
26×	`--lowering--.f32`
26×	`sub-neg`
26×	`--lowering--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize41.0ms (0.3%)

Memory

8.4MiB live, 44.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

30.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 8.0ms (36.9% of total)

ival-mult: 3.0ms (13.8% of total)

ival-sin: 3.0ms (13.8% of total)

const: 3.0ms (13.8% of total)

ival-sqrt: 2.0ms (9.2% of total)

ival-sub: 1.0ms (4.6% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory

-30.8MiB live, 12.6MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (- 1 u1)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sin (* 314159265359/50000000000 u2))>

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

Calls

21 calls:

Time	Variable		Point	Expression
6.0ms	u2	@	0	(* 314159265359/50000000000 u2)
1.0ms	u2	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

rewrite322.0ms (2.4%)

Memory

-12.3MiB live, 482.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 704×	`/-lowering-/.f32`
3 704×	`/-lowering-/.f64`
3 286×	`-lowering-.f32`
3 286×	`-lowering-.f64`
2 456×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	40	32
2	231	32
3	1947	32
0	9665	32

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 521

Calls

Call 1

Inputs
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(- 1 u1)
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))

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

simplify558.0ms (4.1%)

Memory

16.8MiB live, 731.0MiB allocated

Algorithm

1×	egg-herbie

Rules

17 094×	`accelerator-lowering-fma.f32`
17 094×	`accelerator-lowering-fma.f64`
5 704×	`-lowering-.f32`
5 704×	`-lowering-.f64`
3 272×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 84

Calls

Call 1

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

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 u1) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32)) u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.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 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(.f32 (sin.f32 (.f32 #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 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.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 (sin.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))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 (fma.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1/2 binary32) u1)) (/.f32 (.f32 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) #s(literal 0 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) (.f32 u1 u1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.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 u1) (.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 1/2 binary32)) 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))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal -3/8 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal -1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (+.f32 (/.f32 #s(literal 5/8 binary32) (.f32 u1 (.f32 u1 u1))) (/.f32 #s(literal 3/4 binary32) (.f32 u1 u1))) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal -3/8 binary32) u1))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (*.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/16 binary32) u1) #s(literal 3/8 binary32))) u1)) u1))
u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 (* u1 (+ 1 u1))))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1))))
-1
#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) u1))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(-.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) u1))
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(.f32 (+.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 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(sin (* 314159265359/50000000000 u2))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

eval62.0ms (0.5%)

Memory: 24.4MiB live, 138.9MiB allocated
Compiler: Compiled 16 350 to 2 495 computations (84.7% saved)

prune122.0ms (0.9%)

Memory

1.9MiB live, 237.8MiB allocated

Pruning

39 alts after pruning (38 fresh and 1 done)

	Pruned	Kept	Total
New	567	38	605
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	567	39	606

Accuracy

99.8%

Counts

606 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
▶	87.2%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.2%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.7%	(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	98.3%	(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	88.5%	(.f32 (/.f32 (.f32 (sin.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 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))))
	83.6%	(.f32 (/.f32 (.f32 (sin.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))))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.9%	(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.4%	(.f32 (.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.5%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	70.7%	(.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)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	80.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	89.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.9%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.6%	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.2%	(.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.5%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 u1 (.f32 u1 u1)))) (.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	95.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	91.8%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.6%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
	91.0%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))

Compiler

Compiled 1 718 to 1 135 computations (33.9% saved)

simplify297.0ms (2.2%)

Memory

5.3MiB live, 431.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Program
✓	cost-diff	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))
✓	cost-diff	(sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32)))
✓	cost-diff	(.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	(sqrt.f32 (/.f32 #s(literal 1 binary32) u1))
✓	cost-diff	(sqrt.f32 u1)
✓	cost-diff	(+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1))
✓	cost-diff	(fma.f32 u1 u1 #s(literal 1 binary32))
✓	cost-diff	(fma.f32 u1 u1 u1)
✓	cost-diff	(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	cost-diff	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Rules

8 228×	`accelerator-lowering-fma.f32`
8 228×	`accelerator-lowering-fma.f64`
3 584×	`-lowering-.f32`
3 584×	`-lowering-.f64`
1 596×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	260
1	64	260
2	148	254
3	370	254
4	1030	254
5	1389	254
6	1954	254
7	3067	254
8	3747	254
9	4251	254
10	4924	254
11	6196	254
12	7840	254
0	8088	250

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
u1
(- 1 u1)
1
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
u1
(+ (* u1 u1) 1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))
(+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1))
(+ (sqrt u1) (sqrt (/ 1 u1)))
(sqrt u1)
u1
(sqrt (/ 1 u1))
(/ 1 u1)
1
(* 1/2 (* u1 u1))
1/2
(* u1 u1)
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2)) (sin (* 314159265359/50000000000 u2)))
(sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2))
(pow (sqrt (+ (/ 1 u1) -1)) -2)
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
1
u1
-1
-2
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize172.0ms (1.3%)

Memory

16.4MiB live, 246.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(.f32 (sqrt.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.4%	(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -2 binary32))
✓	accuracy	99.3%	(+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.3%	(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.4%	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.7%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.7%	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.6%	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Samples

115.0ms

256×

valid

Compiler

Compiled 252 to 36 computations (85.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-add: 39.0ms (40.3% of total)

ival-div: 23.0ms (23.8% of total)

ival-mult: 12.0ms (12.4% of total)

ival-sqrt: 11.0ms (11.4% of total)

const: 4.0ms (4.1% of total)

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

ival-pow: 2.0ms (2.1% of total)

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

exact: 1.0ms (1% of total)

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

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

series35.0ms (0.3%)

Memory

-15.6MiB live, 61.0MiB allocated

Counts

20 → 300

Calls

Call 1

Inputs
#<alt (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt (+ (/ 1 u1) -1))>
#<alt (* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))>
#<alt (sqrt (/ u1 (- 1 u1)))>
#<alt (/ u1 (- 1 u1))>
#<alt (* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))>
#<alt (+ (* u1 u1) u1)>
#<alt (+ (* u1 u1) 1)>
#<alt (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1))>
#<alt (+ (sqrt u1) (sqrt (/ 1 u1)))>
#<alt (sqrt u1)>
#<alt (sqrt (/ 1 u1))>
#<alt (* (sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2)) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2))>
#<alt (pow (sqrt (+ (/ 1 u1) -1)) -2)>
#<alt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))>
#<alt (* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))>

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

Calls

75 calls:

Time	Variable		Point	Expression
9.0ms	u2	@	inf	(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
2.0ms	u1	@	inf	(+ (sqrt u1) (sqrt (/ 1 u1)))
1.0ms	u1	@	0	(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
1.0ms	u2	@	inf	(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
1.0ms	u2	@	0	(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))

rewrite623.0ms (4.6%)

Memory

-176.1MiB live, 794.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 876×	`accelerator-lowering-fma.f32`
5 876×	`accelerator-lowering-fma.f64`
3 852×	`/-lowering-/.f32`
3 852×	`/-lowering-/.f64`
3 540×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	167
1	169	163
2	1256	163
0	8411	149

Stop Event

1×	iter limit
1×	node limit

Counts

20 → 795

Calls

Call 1

Inputs
(/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 1 u1) -1)))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(sqrt (+ (/ 1 u1) -1))
(* (* 314159265359/50000000000 u2) (sqrt (/ u1 (- 1 u1))))
(sqrt (/ u1 (- 1 u1)))
(/ u1 (- 1 u1))
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(+ (* u1 u1) u1)
(+ (* u1 u1) 1)
(+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1))
(+ (sqrt u1) (sqrt (/ 1 u1)))
(sqrt u1)
(sqrt (/ 1 u1))
(* (sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2)) (sin (* 314159265359/50000000000 u2)))
(sqrt (pow (sqrt (+ (/ 1 u1) -1)) -2))
(pow (sqrt (+ (/ 1 u1) -1)) -2)
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(* (+ (* (+ (sqrt u1) (sqrt (/ 1 u1))) (* 1/2 (* u1 u1))) (sqrt u1)) (sin (* 314159265359/50000000000 u2)))

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

simplify522.0ms (3.8%)

Memory

39.2MiB live, 783.2MiB allocated

Algorithm

1×	egg-herbie

Rules

11 438×	`accelerator-lowering-fma.f32`
11 438×	`accelerator-lowering-fma.f64`
7 692×	`-lowering-.f32`
7 692×	`-lowering-.f64`
2 622×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	527	4803
1	1713	4109
2	5869	3933
0	8275	3738

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

Calls

Call 1

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

Outputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
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(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(sqrt u1)
(sqrt.f32 u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.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 (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)
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(- (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))))
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(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(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)
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(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/8 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
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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 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
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#s(literal -1 binary32)
(* -1 (+ 1 (/ 1 u1)))
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
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(- (* -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)))
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#s(literal -1 binary32)
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(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
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(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
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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 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))
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(* (pow u1 4) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 u1) (.f32 u1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (*.f32 u1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
(.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))) #s(literal 1 binary32))))
(pow u1 4)
(.f32 (.f32 u1 u1) (*.f32 u1 u1))
(* (pow u1 4) (+ 1 (/ 1 u1)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u1 u1) (.f32 u1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (.f32 (.f32 u1 u1) (*.f32 u1 u1)))
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))
(.f32 (.f32 (.f32 u1 u1) (.f32 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)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
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(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2))))))
(.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2))))))
(.f32 u1 (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))))
(* (pow u1 3) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow u1 3))) (sin (* 314159265359/50000000000 u2)))) (* (sqrt (/ 1 (pow u1 5))) (sin (* 314159265359/50000000000 u2))))))
(.f32 u1 (.f32 (.f32 u1 u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (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))))))))
(* -1/2 (* (sqrt (pow u1 5)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
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(* -1 (* (pow u1 3) (+ (* -1/2 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (sin.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)))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))) u1))))
(* -1 (* (pow u1 3) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (pow u1 3))) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))) u1)) (* 1/2 (* (sqrt (/ 1 u1)) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))))))
(.f32 (.f32 u1 (.f32 u1 u1)) (neg.f32 (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (neg.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (*.f32 u1 u1))))))) u1))))
(* 314159265359/50000000000 (* u2 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 314159265359/50000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))
(.f32 u2 (.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))))))))
(.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (fma.f32 #s(literal 314159265359/100000000000 binary32) (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)))))
(* u2 (+ (* 314159265359/50000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1))))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))))))))
(.f32 u2 (fma.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 (.f32 (.f32 u2 u2) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))
(* (sin (* 314159265359/50000000000 u2)) (+ (sqrt u1) (* 1/2 (* (pow u1 2) (+ (sqrt u1) (sqrt (/ 1 u1)))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)))

eval143.0ms (1.1%)

Memory: 0.3MiB live, 266.7MiB allocated
Compiler: Compiled 35 036 to 3 368 computations (90.4% saved)

prune229.0ms (1.7%)

Memory

15.4MiB live, 451.7MiB allocated

Pruning

62 alts after pruning (59 fresh and 3 done)

	Pruned	Kept	Total
New	1 236	48	1 284
Fresh	22	11	33
Picked	3	2	5
Done	0	1	1
Total	1 261	62	1 323

Accuracy

99.9%

Counts

1 323 → 62

Alt Table

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Status	Accuracy	Program
	72.9%	(fma.f32 (.f32 u2 (sqrt.f32 u1)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal 314159265359/100000000000 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/100000000000 binary32)))))
	75.4%	(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
	87.1%	(/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (.f32 (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) #s(literal 1/8 binary32)) (.f32 u1 (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (-.f32 u1 (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))))))
	80.0%	(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	90.8%	(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.2%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	88.4%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	80.1%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	86.8%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
	98.0%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
	97.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	73.0%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	98.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
▶	98.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	80.9%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	83.1%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	79.3%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.3%	(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	68.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	91.9%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.3%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
	91.6%	(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
	15.2%	(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
	79.8%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	74.3%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	71.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
✓	80.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	76.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
	62.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
	89.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.9%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	84.9%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
▶	83.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	91.7%	(.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
	93.6%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
▶	85.1%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
	91.0%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	83.2%	(.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
▶	62.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))

Compiler

Compiled 2 659 to 1 719 computations (35.4% saved)

simplify59.0ms (0.4%)

Memory

6.4MiB live, 86.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 u1 u1 u1)
✓	cost-diff	0	(sqrt.f32 (fma.f32 u1 u1 u1))
✓	cost-diff	0	(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
✓	cost-diff	1024	(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
✓	cost-diff	0	(fma.f32 u1 u1 u1)
✓	cost-diff	0	(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))
✓	cost-diff	0	(sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	cost-diff	0	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(*.f32 u2 (sqrt.f32 u1))
✓	cost-diff	0	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	cost-diff	0	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	352	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))

Rules

1 416×	`accelerator-lowering-fma.f32`
1 416×	`accelerator-lowering-fma.f64`
800×	`-lowering-.f32`
800×	`-lowering-.f64`
490×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	377
1	101	377
2	295	331
3	667	331
4	986	331
5	1162	331
6	1204	331
7	1204	331
0	1204	310

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2))))
1
(/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
u1
-1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* 314159265359/50000000000 (* u2 (sqrt u1)))
314159265359/50000000000
(* u2 (sqrt u1))
u2
(sqrt u1)
u1
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
u1
(+ (* u1 u1) 1)
1
(* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
u2
(+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)
-31006276680305942139213528068663279/750000000000000000000000000000000
314159265359/50000000000
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
u2
(+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)))
314159265359/50000000000
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
u1
(+ (* u1 u1) 1)
1
(* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))
(* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))))
(* u2 u2)
(+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)
3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000
-31006276680305942139213528068663279/750000000000000000000000000000000
(* (* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1)))
(sqrt (+ (* u1 u1) u1))
(+ (* u1 u1) u1)
u1
(sqrt (+ (* u1 u1) 1))
(+ (* u1 u1) 1)
1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize335.0ms (2.5%)

Memory

-1.4MiB live, 289.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.4%	(*.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.7%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.2%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
✓	accuracy	99.1%	(.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
✓	accuracy	98.8%	(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
✓	accuracy	98.8%	(.f32 (.f32 u2 u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
✓	accuracy	99.3%	(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
✓	accuracy	99.2%	(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
✓	accuracy	99.1%	(.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.3%	(*.f32 u2 (sqrt.f32 u1))
✓	accuracy	98.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
✓	accuracy	99.0%	(/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Samples

150.0ms

256×

valid

Compiler

Compiled 336 to 42 computations (87.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 98.0ms

ival-mult: 56.0ms (57.2% of total)

const: 13.0ms (13.3% of total)

ival-div: 9.0ms (9.2% of total)

ival-sqrt: 8.0ms (8.2% of total)

ival-add: 7.0ms (7.2% of total)

ival-sin: 4.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory

-3.8MiB live, 71.3MiB allocated

Counts

23 → 396

Calls

Call 1

Inputs
#<alt (/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2))))>
#<alt (/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2)))>
#<alt (sqrt (+ (/ 1 u1) -1))>
#<alt (+ (/ 1 u1) -1)>
#<alt (* 314159265359/50000000000 (* u2 (sqrt u1)))>
#<alt (* u2 (sqrt u1))>
#<alt (sqrt u1)>
#<alt (* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))>
#<alt (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))>
#<alt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))>
#<alt (+ (* u1 u1) u1)>
#<alt (+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* (* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1)))>
#<alt (sqrt (+ (* u1 u1) u1))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))>
#<alt (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)>
#<alt (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)>
#<alt (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))))>
#<alt (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))>

Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
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#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))>
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#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))>
#<alt (* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))>
#<alt (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))>
#<alt (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))>
#<alt (* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* (pow u1 2) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))>
#<alt (* (pow u1 2) (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))>
#<alt (* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>

Calls

99 calls:

Time	Variable		Point	Expression
7.0ms	u2	@	inf	(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)
7.0ms	u1	@	0	(/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)))
1.0ms	u2	@	inf	(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))

rewrite525.0ms (3.9%)

Memory

-22.8MiB live, 749.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 444×	`accelerator-lowering-fma.f32`
6 444×	`accelerator-lowering-fma.f64`
4 142×	`-lowering-.f32`
4 142×	`-lowering-.f64`
3 658×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	278
1	205	276
2	1567	276
0	8267	239

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 819

Calls

Call 1

Inputs
(/ 1 (/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2))))
(/ (sqrt (+ (/ 1 u1) -1)) (sin (* 314159265359/50000000000 u2)))
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(* 314159265359/50000000000 (* u2 (sqrt u1)))
(* u2 (sqrt u1))
(sqrt u1)
(* (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))
(* (+ (* u1 u1) u1) (+ (* u1 u1) 1))
(+ (* u1 u1) u1)
(+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (+ (* u1 u1) u1)) (sqrt (+ (* u1 u1) 1)))
(sqrt (+ (* u1 u1) u1))
(* 314159265359/50000000000 u2)
(sin (* 314159265359/50000000000 u2))
(* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
(+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)
(* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1))))
(* (* (* u2 u2) (sqrt (* (+ (* u1 u1) u1) (+ (* u1 u1) 1)))) (+ (* (* u2 u2) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000) -31006276680305942139213528068663279/750000000000000000000000000000000))

Outputs
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal -1 binary32))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(.f32 #s(literal 1 binary32) (/.f32 (sin.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32)))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(neg.f32 (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (neg.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.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 (sin.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 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32))
(/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32))
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(.f32 (.f32 (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 u2))) (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))

simplify636.0ms (4.7%)

Memory

17.8MiB live, 1 037.2MiB allocated

Algorithm

1×	egg-herbie

Rules

13 190×	`accelerator-lowering-fma.f32`
13 190×	`accelerator-lowering-fma.f64`
8 512×	`-lowering-.f32`
8 512×	`-lowering-.f64`
5 004×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	792	7828
1	2610	6883
0	8307	6362

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 396

Calls

Call 1

Inputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))) (/ 1/8 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3)))))
(- (+ (/ 1/2 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) (+ (* 1/16 (/ 1 (* (pow u1 3) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))) (* 1/8 (/ 1 (* (pow u1 2) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))))
(/ (sqrt -1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (- (* 1/8 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(+ (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 5))))) (* 1/8 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 3))))) u1)) (* 1/2 (/ 1 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))) u1)) (/ (sqrt -1) (sin (* 314159265359/50000000000 u2))))
(* 50000000000/314159265359 (* (/ 1 u2) (sqrt (- (/ 1 u1) 1))))
(/ (+ (* 50000000000/314159265359 (sqrt (- (/ 1 u1) 1))) (* 314159265359/300000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (- (/ 1 u1) 1))) (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))))) u2)
(/ (+ (* 50000000000/314159265359 (sqrt (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* 314159265359/300000000000 (sqrt (- (/ 1 u1) 1))) (* (pow u2 2) (+ (* 217043936762141594974494696480642953/45000000000000000000000000000000000 (sqrt (- (/ 1 u1) 1))) (* 94866102283468468214242596731956544828795783500316272114769/4725000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (- (/ 1 u1) 1))))))))) u2)
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(* (/ 1 (sin (* 314159265359/50000000000 u2))) (sqrt (- (/ 1 u1) 1)))
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* 314159265359/50000000000 (* (sqrt u1) u2))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* (sqrt u1) u2)
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(* -1 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))
(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) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))
(+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* u1 (+ (* 1/2 (* (sqrt u1) (* u2 (* (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))) (- 1 (* 1/4 (/ 1 u1))))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(* (pow u1 2) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* (pow u1 2) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))
(* (pow u1 2) (+ (* 5/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 3))) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))
(* (pow u1 2) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* -3/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* 3/8 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* -1/2 (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))
(* 314159265359/50000000000 (* u2 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 3) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) u1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))))))
(pow u1 4)
(* (pow u1 4) (+ 1 (/ 1 u1)))
(* (pow u1 4) (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))))
(* (pow u1 4) (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1) u1))))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(* u1 (+ 1 u1))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(pow u1 2)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(* (pow u1 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 314159265359/100000000000 (/ 1 u1))))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (+ (* 314159265359/100000000000 (/ 1 u1)) (/ 942477796077/400000000000 (pow u1 2))))))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (+ (* 314159265359/100000000000 (/ 1 u1)) (+ (* 314159265359/160000000000 (/ 1 (pow u1 3))) (/ 942477796077/400000000000 (pow u1 2))))))))))
(* (pow u1 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (+ (* -1 (/ (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (+ (* -1 (/ (+ 942477796077/400000000000 (+ (* -1 (/ (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000) u1)) (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
(+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* 314159265359/50000000000 (* u2 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 2)) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (/ (* u2 (+ 314159265359/160000000000 (* 5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 3)) (+ (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 2)) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (pow u1 2) (+ (* -1 (/ (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000)) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u2 (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000)) u1)) (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) u1)) (* 3/8 (sin (* 314159265359/50000000000 u2)))) u1)) (* -1/2 (sin (* 314159265359/50000000000 u2)))) u1))))
(* 314159265359/50000000000 (* u2 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (+ (* 1/2 (/ 1 u1)) (* 5/16 (/ 1 (pow u1 3)))))))
(pow u1 2)
(* (pow u1 2) (+ 1 (* 1/2 (/ 1 u1))))
(* (pow u1 2) (+ 1 (+ (/ 3/8 (pow u1 2)) (* 1/2 (/ 1 u1)))))
(* (pow u1 2) (+ 1 (* -1 (/ (- (* -1 (/ (+ 3/8 (* 5/16 (/ 1 u1))) u1)) 1/2) 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)))))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
314159265359/50000000000
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ 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 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(* (pow u1 2) (pow u2 2))
(* (pow u1 2) (+ (* 1/2 (/ (pow u2 2) u1)) (pow u2 2)))
(* (pow u1 2) (+ (* 3/8 (/ (pow u2 2) (pow u1 2))) (+ (* 1/2 (/ (pow u2 2) u1)) (pow u2 2))))
(* (pow u1 2) (+ (* 5/16 (/ (pow u2 2) (pow u1 3))) (+ (* 3/8 (/ (pow u2 2) (pow u1 2))) (+ (* 1/2 (/ (pow u2 2) u1)) (pow u2 2)))))
(* (pow u1 2) (pow u2 2))
(* (pow u1 2) (+ (* 1/2 (/ (pow u2 2) u1)) (pow u2 2)))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (pow u2 2)) (* -3/8 (/ (pow u2 2) u1))) u1)) (pow u2 2)))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (pow u2 2) u1)) (* 3/8 (pow u2 2))) u1)) (* -1/2 (pow u2 2))) u1)) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
(* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (pow u1 2) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(* (pow u1 2) (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))

Outputs
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.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) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -3/8 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 u1 (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal -3/8 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 (.f32 #s(literal -5/16 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 #s(literal -1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 3/4 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (/.f32 #s(literal 3/4 binary32) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 5/8 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) u1)) (neg.f32 u1)))
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))
(/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/ (+ (* -1/2 (* (sqrt (pow u1 3)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2))))) u1)
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.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))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/8 (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))))))) u1)
(/.f32 (fma.f32 (.f32 u1 u1) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (.f32 (sqrt.f32 u1) #s(literal -1/8 binary32)))) (/.f32 (sqrt.f32 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) u1)
(/ (+ (* (sqrt u1) (/ 1 (sin (* 314159265359/50000000000 u2)))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* (pow u1 2) (+ (* -1/8 (* (sqrt (/ 1 (pow u1 3))) (/ 1 (sin (* 314159265359/50000000000 u2))))) (* -1/16 (* (sqrt (/ 1 u1)) (/ 1 (sin (* 314159265359/50000000000 u2)))))))))) u1)
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u1
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(* u1 (+ 1 u1))
(fma.f32 u1 u1 u1)
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(* (pow u1 2) (+ 1 (/ 1 u1)))
(fma.f32 u1 u1 (/.f32 (*.f32 u1 u1) u1))
(+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))))
(fma.f32 (.f32 u1 u1) (.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32)))))) (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(+ (* 314159265359/50000000000 (sqrt u1)) (+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (* 314159265359/100000000000 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))))))))))
(fma.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) #s(literal 314159265359/100000000000 binary32)))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32)))))) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32))))))))
(* (pow u1 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u1 (.f32 u1 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (* 314159265359/100000000000 (/ 1 u1))))))
(.f32 (.f32 u1 u1) (+.f32 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 #s(literal 314159265359/100000000000 binary32) u1)) (fma.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 u2)) (/.f32 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (+ (* 314159265359/100000000000 (/ 1 u1)) (/ 942477796077/400000000000 (pow u1 2))))))))
(.f32 (.f32 u1 u1) (+.f32 (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)) (+.f32 (/.f32 #s(literal 314159265359/100000000000 binary32) u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 #s(literal 942477796077/400000000000 binary32) (.f32 u1 u1))))) (fma.f32 (.f32 (.f32 u2 u2) #s(literal 3/8 binary32)) (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u1 u1)) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (+ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (+ (* 314159265359/100000000000 (/ 1 u1)) (+ (* 314159265359/160000000000 (/ 1 (pow u1 3))) (/ 942477796077/400000000000 (pow u1 2))))))))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 314159265359/50000000000 binary32) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u1 (.f32 u1 u1))) #s(literal 5/16 binary32)) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u1 u1)) #s(literal 3/8 binary32)) (+.f32 (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 #s(literal 314159265359/100000000000 binary32) u1))) (+.f32 (/.f32 #s(literal 942477796077/400000000000 binary32) (.f32 u1 u1)) (/.f32 #s(literal 314159265359/160000000000 binary32) (.f32 u1 (*.f32 u1 u1)))))))))
(* (pow u1 2) (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 u1 (.f32 u1 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32)) (neg.f32 u1))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (+ (* -1 (/ (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (+.f32 (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 942477796077/400000000000 binary32)) (neg.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32))) (neg.f32 u1))))
(* (pow u1 2) (+ 314159265359/50000000000 (+ (* -1 (/ (- (+ (* -1 (/ (+ 942477796077/400000000000 (+ (* -1 (/ (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000) u1)) (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) 314159265359/100000000000) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (+.f32 (/.f32 (+.f32 #s(literal 942477796077/400000000000 binary32) (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -5/16 binary32)) #s(literal -314159265359/160000000000 binary32)) (neg.f32 u1)))) (neg.f32 u1)) (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32))) (neg.f32 u1))))
(* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))
(.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
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(+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
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(+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 4) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* (pow u2 4) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* 314159265359/50000000000 (* u2 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* (pow u2 5) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (+ (* 314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))
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(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 5) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
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(* -1 (* (pow u2 5) (+ (* -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 4)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2)))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (* (/ 1 (pow u2 2)) (sqrt (* (+ 1 (pow u1 2)) (+ u1 (pow u1 2))))))))))
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(* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))))
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(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1)))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(fma.f32 u1 (.f32 u1 (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32))))) (fma.f32 u1 u2 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(+ (* u2 (+ (* 314159265359/50000000000 (sqrt u1)) (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* (pow u1 2) (+ (* u1 (+ (* u1 (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 314159265359/100000000000 (* (sqrt (/ 1 u1)) (- 1 (* 1/4 (/ 1 u1)))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))) (* u2 (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* 314159265359/100000000000 (sqrt (/ 1 u1))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) #s(literal 314159265359/100000000000 binary32)))) (.f32 u2 u1)) (.f32 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 314159265359/100000000000 binary32) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32))))) (fma.f32 u1 u2 u2))) (.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32)) #s(literal 314159265359/100000000000 binary32)) u1))))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 2)) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32)) #s(literal 314159265359/100000000000 binary32)) u1)) (.f32 u2 (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 942477796077/400000000000 binary32)) (.f32 u1 u1)))))
(* (pow u1 2) (+ (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (+ (/ (* u2 (+ 314159265359/160000000000 (* 5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 3)) (+ (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (pow u1 2)) (/ (* u2 (+ 314159265359/100000000000 (* 1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (+.f32 (/.f32 (fma.f32 (.f32 #s(literal 5/16 binary32) (.f32 u2 u2)) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/160000000000 binary32)) (.f32 u1 (.f32 u1 u1))) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 942477796077/400000000000 binary32)) (.f32 u1 u1))) (.f32 u2 (+.f32 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32)) #s(literal 314159265359/100000000000 binary32)) u1)))))
(* (pow u1 2) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(* (pow u1 2) (+ (* -1 (/ (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000)) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32)) (neg.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) u1)) (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 u2 (/.f32 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 942477796077/400000000000 binary32)) (neg.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32)))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* u2 (- (* -5/16 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/160000000000)) u1)) (* u2 (+ 942477796077/400000000000 (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))) u1)) (* u2 (- (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) 314159265359/100000000000))) u1)) (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (/.f32 (fma.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal -314159265359/100000000000 binary32)) (/.f32 (fma.f32 u2 (fma.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 942477796077/400000000000 binary32)) (.f32 u2 (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -5/16 binary32)) #s(literal -314159265359/160000000000 binary32)) (neg.f32 u1)))) (neg.f32 u1))) (neg.f32 u1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(.f32 (sin.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) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 u1 u1) (.f32 (sin.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) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 #s(literal 1/2 binary32) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1)))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (fma.f32 #s(literal 3/8 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (+ (* 5/16 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 3))) (+ (* 3/8 (/ (sin (* 314159265359/50000000000 u2)) (pow u1 2))) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))))
(.f32 (.f32 u1 u1) (fma.f32 #s(literal 5/16 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 (.f32 u1 u1))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) u1) (fma.f32 #s(literal 3/8 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(* (pow u1 2) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (*.f32 u1 u1))
(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) u1))))
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(* (pow u1 2) (+ (sin (* 314159265359/50000000000 u2)) (* -1 (/ (+ (* -1/2 (sin (* 314159265359/50000000000 u2))) (* -3/8 (/ (sin (* 314159265359/50000000000 u2)) u1))) u1))))
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(fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (.f32 (.f32 (.f32 u1 u1) #s(literal 1/2 binary32)) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 (.f32 u2 u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))))
(+ (* (sqrt u1) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (pow u2 2) (* (- 1 (* 1/4 (/ 1 u1))) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))) (* 1/2 (* (sqrt (/ 1 u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 #s(literal 1/2 binary32) (fma.f32 (sqrt.f32 u1) (.f32 (.f32 u2 u2) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) (.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 1/2 binary32))))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)))))
(* (pow u1 2) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (.f32 u1 u1)))))
(* (pow u1 2) (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 3))) (+ (* 3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) (pow u1 2))) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))))
(.f32 (.f32 u1 u1) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (.f32 u1 (.f32 u1 u1))) #s(literal 5/16 binary32)) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)) (/.f32 (.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (*.f32 u1 u1))))))
(* (pow u1 2) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(.f32 (.f32 u1 u1) (.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* (pow u1 2) (+ (* 1/2 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 1/2 binary32)))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))) (* -3/8 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal -3/8 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal -1/2 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (neg.f32 u1))))
(* (pow u1 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)) u1)) (* 3/8 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* -1/2 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))) u1)) (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (/.f32 (fma.f32 (.f32 u2 u2) (.f32 (/.f32 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u1) #s(literal 5/16 binary32)) (.f32 (.f32 u2 u2) (.f32 #s(literal 3/8 binary32) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (neg.f32 u1))) (neg.f32 u1))))

eval262.0ms (1.9%)

Memory: -1.1MiB live, 434.8MiB allocated
Compiler: Compiled 86 642 to 5 524 computations (93.6% saved)

prune386.0ms (2.8%)

Memory

24.1MiB live, 778.1MiB allocated

Pruning

76 alts after pruning (70 fresh and 6 done)

	Pruned	Kept	Total
New	1 880	31	1 911
Fresh	15	39	54
Picked	2	3	5
Done	0	3	3
Total	1 897	76	1 973

Accuracy

99.9%

Counts

1 973 → 76

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	82.7%	(/.f32 (.f32 (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32)))
	80.0%	(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	90.8%	(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.2%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	88.4%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	80.1%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
	97.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	73.0%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	98.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	87.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
	93.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	96.3%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	80.9%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	83.1%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.3%	(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.6%	(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	83.3%	(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
	68.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
	87.3%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	91.9%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.3%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
▶	83.0%	(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	83.2%	(.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
	83.2%	(.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
	80.2%	(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
	19.3%	(.f32 (.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	19.3%	(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u1)))
	15.1%	(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
▶	15.2%	(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
	79.8%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	74.3%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	71.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
✓	80.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
▶	62.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
▶	81.0%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	89.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.3%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	84.9%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
	84.9%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
✓	83.1%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.0%	(.f32 (sqrt.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	19.9%	(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	67.1%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	67.1%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
	73.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	93.6%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
	85.1%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 (/.f32 (.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
	91.0%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	68.3%	(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	76.2%	(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
	15.1%	(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
	62.8%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
✓	62.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))

Compiler

Compiled 3 005 to 1 997 computations (33.5% saved)

simplify32.0ms (0.2%)

Memory

-4.8MiB live, 71.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(*.f32 u1 u1)
✓	cost-diff	0	(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(sqrt.f32 (+.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
✓	cost-diff	0	(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	cost-diff	0	(fma.f32 u1 u1 u1)
✓	cost-diff	0	(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
✓	cost-diff	0	(sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
✓	cost-diff	0	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	cost-diff	0	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	cost-diff	0	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Rules

808×	`-lowering-.f32`
808×	`-lowering-.f64`
644×	`associate-r`
478×	`accelerator-lowering-fma.f32`
478×	`accelerator-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	236
1	82	226
2	193	226
3	447	226
4	800	226
5	934	226
0	934	212

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(* (/ 1 (sqrt (+ (/ 1 u1) -1))) (sin (* 314159265359/50000000000 u2)))
(/ 1 (sqrt (+ (/ 1 u1) -1)))
1
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(/ 1 u1)
u1
-1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(* (* 314159265359/50000000000 u2) (sqrt u1))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2
(sqrt u1)
u1
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))
(+ (* u1 (+ (* u1 u1) u1)) u1)
u1
(+ (* u1 u1) u1)
(* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
u2
(+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)
-31006276680305942139213528068663279/750000000000000000000000000000000
314159265359/50000000000
(* (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1)))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1))))
(sqrt (+ 1 u1))
(+ 1 u1)
1
u1
(sqrt (* u1 (+ (* u1 u1) 1)))
(* u1 (+ (* u1 u1) 1))
(+ (* u1 u1) 1)
(* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
u2
(+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)
-31006276680305942139213528068663279/750000000000000000000000000000000
314159265359/50000000000
(* (* u1 u1) (sin (* 314159265359/50000000000 u2)))
(* u1 u1)
u1
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
314159265359/50000000000
u2

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

localize199.0ms (1.5%)

Memory

-1.3MiB live, 296.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 u1 u1)
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.2%	(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
✓	accuracy	99.1%	(.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
✓	accuracy	98.9%	(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	accuracy	98.8%	(.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))))
✓	accuracy	99.3%	(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
✓	accuracy	99.2%	(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
✓	accuracy	99.1%	(.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	accuracy	100.0%	(sqrt.f32 u1)
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.0%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓	accuracy	99.0%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Samples

109.0ms

256×

valid

Compiler

Compiled 220 to 36 computations (83.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-mult: 61.0ms (66.7% of total)

ival-sqrt: 8.0ms (8.7% of total)

ival-add: 7.0ms (7.7% of total)

const: 7.0ms (7.7% of total)

ival-div: 4.0ms (4.4% of total)

ival-sin: 4.0ms (4.4% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

-4.6MiB live, 32.2MiB allocated

Counts

21 → 312

Calls

Call 1

Inputs
#<alt (* (/ 1 (sqrt (+ (/ 1 u1) -1))) (sin (* 314159265359/50000000000 u2)))>
#<alt (/ 1 (sqrt (+ (/ 1 u1) -1)))>
#<alt (sqrt (+ (/ 1 u1) -1))>
#<alt (+ (/ 1 u1) -1)>
#<alt (* (* 314159265359/50000000000 u2) (sqrt u1))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (sqrt u1)>
#<alt (* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))>
#<alt (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))>
#<alt (+ (* u1 (+ (* u1 u1) u1)) u1)>
#<alt (+ (* u1 u1) u1)>
#<alt (* (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1)))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))>
#<alt (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1))))>
#<alt (sqrt (+ 1 u1))>
#<alt (+ 1 u1)>
#<alt (* (* u1 u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (* u1 u1)>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))>
#<alt (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)>
#<alt (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)>

Outputs
#<alt (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 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 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* u1 (sqrt -1)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (sqrt -1))) (* -1/2 (/ (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (sqrt (/ 1 u1))>
#<alt (/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)>
#<alt (/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))>
#<alt (/ 1 u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt (/ (+ 1 (* -1 u1)) u1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt -1>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (- (/ 1 u1) 1)>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* 314159265359/50000000000 (* (sqrt u1) u2))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<alt (* -314159265359/50000000000 (* (sqrt u1) (* u2 (pow (sqrt -1) 2))))>
#<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 (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) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))>
#<alt (+ (* 1/2 (* (sqrt (pow u1 3)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))>
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#<alt (* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))>
#<alt (* (pow u2 3) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))) (* 314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))>
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#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))>
#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (/ 1 (pow u2 2)) (sqrt (+ u1 (* u1 (+ u1 (pow u1 2))))))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (+ u1 (* u1 (+ u1 (pow u1 2)))))))))>
#<alt (sqrt u1)>
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#<alt u1>
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#<alt (+ (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))) (* 1/2 (* (sqrt (/ 1 u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))))))))>
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#<alt (* (pow u1 2) (+ (* 5/16 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 3))) (+ (* 3/8 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) (pow u1 2))) (+ (* 1/2 (/ (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))) u1)) (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))))))>
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#<alt (* 314159265359/50000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) u2))>
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#<alt (* -1 (* (pow u2 3) (+ (* -314159265359/50000000000 (* (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2))))) (/ 1 (pow u2 2)))) (* 31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (* u1 (* (+ 1 u1) (+ 1 (pow u1 2)))))))))>
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#<alt (sqrt u1)>
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#<alt (pow u1 2)>
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#<alt 1>
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#<alt (* -1 (* (sqrt u1) (pow (sqrt -1) 2)))>
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#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2))))))>
#<alt (* -1 (* u1 (+ (* -1/8 (* (sqrt (/ 1 (pow u1 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow u1 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ 1 (pow u1 3)))) (* (sqrt (/ 1 u1)) (pow (sqrt -1) 2)))))))>
#<alt 1>
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#<alt (* 314159265359/50000000000 (* (pow u1 2) u2))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u1 2) (pow u2 2))) (* 314159265359/50000000000 (pow u1 2))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (pow u1 2)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u1 2)) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u1 2) (pow u2 2)))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (pow u1 2)) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u1 2)) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u1 2) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u1 2))))))))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (* (pow u1 2) (sin (* 314159265359/50000000000 u2)))>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (pow u1 2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))>
#<alt 314159265359/50000000000>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>
#<alt (* -31006276680305942139213528068663279/750000000000000000000000000000000 u2)>

Calls

78 calls:

Time	Variable		Point	Expression
25.0ms	u2	@	0	(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
2.0ms	u1	@	-inf	(sqrt (+ 1 u1))
1.0ms	u1	@	-inf	(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
1.0ms	u2	@	0	(* (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1)))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
1.0ms	u1	@	-inf	(* (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1)))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))

rewrite471.0ms (3.5%)

Memory

2.3MiB live, 993.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 198×	`accelerator-lowering-fma.f32`
10 198×	`accelerator-lowering-fma.f64`
5 334×	`-lowering-.f32`
5 334×	`-lowering-.f64`
3 362×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	162
1	171	155
2	1152	155
0	8637	140

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 778

Calls

Call 1

Inputs
(* (/ 1 (sqrt (+ (/ 1 u1) -1))) (sin (* 314159265359/50000000000 u2)))
(/ 1 (sqrt (+ (/ 1 u1) -1)))
(sqrt (+ (/ 1 u1) -1))
(+ (/ 1 u1) -1)
(* (* 314159265359/50000000000 u2) (sqrt u1))
(* 314159265359/50000000000 u2)
(sqrt u1)
(* (sqrt (+ (* u1 (+ (* u1 u1) u1)) u1)) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(sqrt (+ (* u1 (+ (* u1 u1) u1)) u1))
(+ (* u1 (+ (* u1 u1) u1)) u1)
(+ (* u1 u1) u1)
(* (* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1)))) (* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)))
(* (sqrt (+ 1 u1)) (sqrt (* u1 (+ (* u1 u1) 1))))
(sqrt (+ 1 u1))
(+ 1 u1)
(* (* u1 u1) (sin (* 314159265359/50000000000 u2)))
(* u1 u1)
(sin (* 314159265359/50000000000 u2))
(* u2 (+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000))
(+ (* u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
(* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)

Outputs
(neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(neg.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(neg.f32 (/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (neg.f32 (sin.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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 (neg.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32))))
(.f32 (/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32)) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1/2 binary32)))
(exp.f32 (neg.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1/2 binary32))
(-.f32 #s(literal 0 binary32) (/.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) #s(literal -1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 1 binary32)))
(.f32 (pow.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1)))) #s(literal -1/2 binary32)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(literal -1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal -1 binary32)))
(.f32 (.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32))) (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)))
(neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(exp.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32)))
(exp.f32 (neg.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 0 binary32)) #s(literal -1 binary32))))
(pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) #s(literal 1/2 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
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(.f32 (-.f32 #s(literal 0 binary32) (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u2 u2) #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) #s(literal 314159265359/50000000000 binary32))))
(.f32 (-.f32 #s(literal 98696044010906577398881/2500000000000000000000 binary32) (.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) u2)

simplify517.0ms (3.8%)

Memory

24.4MiB live, 926.5MiB allocated

Algorithm

1×	egg-herbie

Rules

10 200×	`accelerator-lowering-fma.f32`
10 200×	`accelerator-lowering-fma.f64`
7 626×	`-lowering-.f32`
7 626×	`-lowering-.f64`
3 056×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	4498
1	1791	3900
2	6438	3612
0	8246	3413

Stop Event

1×	iter limit
1×	node limit

Counts

312 → 312

Calls

Call 1

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

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

eval123.0ms (0.9%)

Memory: 6.4MiB live, 312.7MiB allocated
Compiler: Compiled 34 110 to 3 291 computations (90.4% saved)

prune284.0ms (2.1%)

Memory

1.7MiB live, 461.9MiB allocated

Pruning

81 alts after pruning (72 fresh and 9 done)

	Pruned	Kept	Total
New	1 229	24	1 253
Fresh	17	48	65
Picked	1	4	5
Done	1	5	6
Total	1 248	81	1 329

Accuracy

99.9%

Counts

1 329 → 81

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.2%	(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	80.0%	(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	80.4%	(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
	90.8%	(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.2%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	88.4%	(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	80.1%	(/.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	93.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
	97.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
	73.0%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
✓	98.3%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	87.0%	(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
	98.1%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
	93.2%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	96.3%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	80.9%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	83.1%	(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	15.1%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
	81.1%	(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
	4.4%	(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	19.3%	(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.3%	(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
	68.9%	(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.0%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	98.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.1%	(.f32 (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2)
	79.3%	(.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	97.8%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	83.2%	(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
	83.1%	(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
	87.3%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	91.9%	(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.3%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
	76.0%	(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
	67.2%	(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
	62.9%	(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
	4.7%	(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	80.2%	(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
	19.3%	(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	15.2%	(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	14.6%	(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	15.2%	(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.8%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
	79.8%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
	74.3%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
	71.2%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
✓	80.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
	80.0%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
	76.1%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
✓	62.9%	(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
	81.0%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2)))
	80.9%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2))))))
✓	81.0%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	89.3%	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	77.3%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	84.9%	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	90.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	88.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.0%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	84.9%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	87.2%	(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	98.2%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	20.0%	(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	16.9%	(.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	67.1%	(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
	73.0%	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.3%	(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
	93.6%	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
	91.0%	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
	68.3%	(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	76.2%	(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
	15.1%	(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
	14.6%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
✓	62.9%	(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))

Compiler

Compiled 4 328 to 1 599 computations (63.1% saved)

regimes431.0ms (3.2%)

Memory

-6.8MiB live, 552.7MiB allocated

Counts

142 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
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(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 (/.f32 (.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
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(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))
(/.f32 (sin.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 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (sin.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)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 u1)) (+.f32 #s(literal -1 binary32) (.f32 u1 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (sqrt.f32 u1)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1))
(.f32 (fma.f32 (.f32 u1 #s(literal 1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (sqrt.f32 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (.f32 (sin.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))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (.f32 (+.f32 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))))
(.f32 (sqrt.f32 (.f32 (/.f32 (fma.f32 u1 u1 u1) (+.f32 #s(literal 1 binary32) u1)) (/.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (.f32 (sin.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 (+.f32 u1 #s(literal 1 binary32)) #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)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1))) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal 1 binary32))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (.f32 u1 u1))) (.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 u1 (.f32 u1 u1)))) (.f32 (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/2 binary32)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 (.f32 u1 (.f32 u1 u1)) (.f32 u1 (.f32 u1 u1))))) (/.f32 #s(literal 1 binary32) (fma.f32 u1 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32)))) (fma.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)) #s(literal 1 binary32))))) (sin.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))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) (sin.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) #s(literal 4 binary32))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (expm1.f32 (-.f32 #s(literal 0 binary32) (log.f32 u1)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (.f32 (pow.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) #s(literal -1/4 binary32)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (.f32 (pow.f32 (pow.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal 1/4 binary32)) #s(literal 2 binary32)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (pow.f32 (exp.f32 #s(literal 1/2 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1)))) (.f32 (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) #s(literal 1/8 binary32)) (.f32 u1 (sqrt.f32 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))) (fma.f32 #s(literal 1/4 binary32) (.f32 (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1)))) (.f32 (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))))) (-.f32 u1 (.f32 (+.f32 (sqrt.f32 u1) (/.f32 #s(literal 1 binary32) (sqrt.f32 u1))) (.f32 (.f32 u1 (.f32 u1 #s(literal 1/2 binary32))) (sqrt.f32 u1))))))

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

Calls

8 calls:

72.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
65.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
58.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
53.0ms	u1
52.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
98.3%	1	`cosTheta_i`
98.3%	1	`u1`
98.3%	1	`u2`
98.3%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
98.3%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
98.3%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
98.3%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.3%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes282.0ms (2.1%)

Memory

-1.0MiB live, 433.0MiB allocated

Counts

95 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
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(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 (/.f32 (.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))

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

Calls

8 calls:

59.0ms	u1
50.0ms	cosTheta_i
30.0ms	u2
27.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
27.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

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

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes275.0ms (2%)

Memory

18.0MiB live, 372.5MiB allocated

Counts

92 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2)
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 (sqrt.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u1)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (.f32 u2 (sqrt.f32 u1)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal 314159265359/100000000000 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/100000000000 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32)))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 (/.f32 (.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

7 calls:

54.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
44.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
44.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
43.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
93.6%	1	`cosTheta_i`
97.2%	2	`u1`
98.0%	2	`u2`
97.2%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.2%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 42 to 33 computations (21.4% saved)

regimes68.0ms (0.5%)

Memory

-37.3MiB live, 127.0MiB allocated

Counts

91 → 2

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
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(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
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(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

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

Calls

2 calls:

25.0ms	u2
25.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.5%	2	`u2`
97.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes219.0ms (1.6%)

Memory

24.5MiB live, 257.7MiB allocated

Counts

90 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2)
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 (sqrt.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u1)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (.f32 u2 (sqrt.f32 u1)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal 314159265359/100000000000 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/100000000000 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32)))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 (/.f32 (.f32 u1 u1) u1)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 u2 u2) (.f32 u2 (.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))))))
(.f32 u2 (fma.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 u2) (.f32 u2 u2)))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) #s(literal 314159265359/100000000000 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal 314159265359/100000000000 binary32) u1 #s(literal 314159265359/100000000000 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1))))
(.f32 (.f32 (neg.f32 (.f32 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)))))) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (fma.f32 u1 u1 (.f32 u1 #s(literal 1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

Calls

6 calls:

63.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
51.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
24.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
24.0ms	u2

Results

Accuracy	Segments	Branch
93.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
93.6%	1	`u1`
93.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
93.6%	1	`u2`
93.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes232.0ms (1.7%)

Memory

-5.3MiB live, 231.6MiB allocated

Counts

80 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2)
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 (sqrt.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u1)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32)))
(fma.f32 (.f32 u2 (sqrt.f32 u1)) (+.f32 #s(literal 314159265359/50000000000 binary32) (.f32 #s(literal 314159265359/100000000000 binary32) (.f32 u1 u1))) (.f32 (.f32 u1 u1) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (*.f32 u2 #s(literal 314159265359/100000000000 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (fma.f32 u2 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32))) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))) u2)))
(.f32 (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -98696044010906577398881/2500000000000000000000 binary32))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal -314159265359/50000000000 binary32)))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 (.f32 (.f32 u2 u2) (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(.f32 (fma.f32 (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 #s(literal 1/2 binary32) (.f32 u1 u1)) (sqrt.f32 u1)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))

Outputs

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

Calls

6 calls:

56.0ms	u1
41.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
35.0ms	u2
35.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
22.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
93.2%	1	`cosTheta_i`
93.2%	1	`u2`
93.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
93.2%	1	`u1`
93.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
93.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes185.0ms (1.4%)

Memory

-14.0MiB live, 157.8MiB allocated

Counts

66 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 u1)) u2)
(.f32 (.f32 (sqrt.f32 u1) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 u1 (.f32 u1 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (.f32 u1 u1)))
(.f32 (.f32 u1 (+.f32 u1 #s(literal 1/2 binary32))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2)
(.f32 (fma.f32 u1 (neg.f32 u1) (neg.f32 (.f32 u1 #s(literal 1/2 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1)))))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) #s(literal 1 binary32)))))
(/.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 u1 (.f32 u1 u1))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 (fma.f32 u1 (/.f32 #s(literal 1/2 binary32) u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2)
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (*.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(/.f32 (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 (+.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))))
(.f32 (sqrt.f32 (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 u1 u1) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) u2)
(.f32 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 #s(literal 314159265359/50000000000 binary32)))
(.f32 (sqrt.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) u1) u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (fma.f32 u1 #s(literal 1/2 binary32) #s(literal 1 binary32)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (fma.f32 u1 u1 u1))) (sqrt.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 u1 u1) (fma.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))) u1)))
(.f32 (.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)) (sqrt.f32 (.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 u2 (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (*.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1)))
(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2))))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))) (fma.f32 #s(literal 314159265359/300000000000 binary32) (.f32 u2 u2) #s(literal 50000000000/314159265359 binary32))) u2))
(/.f32 (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u1 u1)) #s(literal -1 binary32)))))
(.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (sqrt.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 u1))) (+.f32 (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))

Outputs

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

Calls

6 calls:

45.0ms	cosTheta_i
41.0ms	u1
40.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
19.0ms	u2
17.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
91.0%	1	`u1`
91.0%	1	`u2`
91.0%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
91.0%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
91.0%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
91.0%	1	`cosTheta_i`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes131.0ms (1%)

Memory

20.3MiB live, 133.4MiB allocated

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

37.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
24.0ms	u2
24.0ms	cosTheta_i
14.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
14.0ms	u1

Results

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes173.0ms (1.3%)

Memory

-15.6MiB live, 142.0MiB allocated

Counts

47 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

62.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
43.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
26.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
13.0ms	cosTheta_i
13.0ms	u2

Results

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

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes70.0ms (0.5%)

Memory

5.2MiB live, 160.3MiB allocated

Counts

36 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

13.0ms	u2
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
10.0ms	cosTheta_i
10.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
86.6%	2	`u1`
86.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
81.1%	1	`cosTheta_i`
86.3%	2	`u2`
86.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes33.0ms (0.2%)

Memory

31.4MiB live, 74.7MiB allocated

Counts

33 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
9.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms	u1

Results

Accuracy	Segments	Branch
86.5%	2	`u1`
86.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes32.0ms (0.2%)

Memory

-8.1MiB live, 68.4MiB allocated

Counts

32 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
10.0ms	u1
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
86.4%	2	`u1`
86.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.4%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes62.0ms (0.5%)

Memory

-11.6MiB live, 103.0MiB allocated

Counts

30 → 2

Calls

Call 1

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

Outputs

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

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

Calls

5 calls:

19.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
14.0ms	u2
10.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
8.0ms	u1

Results

Accuracy	Segments	Branch
85.5%	2	`u2`
85.5%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
85.6%	2	`u1`
85.6%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
85.6%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 31 to 24 computations (22.6% saved)

regimes53.0ms (0.4%)

Memory

-0.0MiB live, 115.0MiB allocated

Counts

20 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

16.0ms	cosTheta_i
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	u1

Results

Accuracy	Segments	Branch
80.3%	1	`cosTheta_i`
83.4%	2	`u2`
83.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.4%	2	`u1`
83.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.4%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes36.0ms (0.3%)

Memory

8.6MiB live, 87.0MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

6.0ms	cosTheta_i
6.0ms	u1
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
6.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u2

Results

Accuracy	Segments	Branch
80.2%	1	`cosTheta_i`
83.4%	2	`u2`
83.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.4%	2	`u1`
83.4%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.4%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes34.0ms (0.3%)

Memory

3.2MiB live, 83.6MiB allocated

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

6 calls:

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

Results

Accuracy	Segments	Branch
80.1%	1	`cosTheta_i`
83.2%	2	`u2`
83.2%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.3%	2	`u1`
83.3%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.3%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 35 to 27 computations (22.9% saved)

regimes21.0ms (0.2%)

Memory

18.5MiB live, 57.9MiB allocated

Counts

15 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

6.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
5.0ms	u2
5.0ms	cosTheta_i
5.0ms	u1

Results

Accuracy	Segments	Branch
74.3%	1	`cosTheta_i`
77.6%	2	`u2`
77.6%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
77.4%	2	`u1`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes21.0ms (0.2%)

Memory

-27.8MiB live, 50.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

Outputs

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
71.2%	1	`cosTheta_i`
74.4%	2	`u1`
74.7%	2	`u2`
74.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.1%)

Memory

27.7MiB live, 27.7MiB allocated

Counts

13 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	u2

Results

Accuracy	Segments	Branch
74.7%	2	`u2`
74.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes10.0ms (0.1%)

Memory

-19.9MiB live, 21.8MiB allocated

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

5.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	u2

Results

Accuracy	Segments	Branch
74.7%	2	`u2`
74.7%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes13.0ms (0.1%)

Memory

-5.2MiB live, 33.9MiB allocated

Counts

11 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	u1
4.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	u2

Results

Accuracy	Segments	Branch
71.2%	1	`u1`
71.2%	1	`u2`
71.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 14 to 11 computations (21.4% saved)

regimes12.0ms (0.1%)

Memory

28.6MiB live, 28.6MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
62.9%	1	`u2`
62.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
62.9%	1	`cosTheta_i`
62.9%	1	`u1`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes7.0ms (0.1%)

Memory

-15.8MiB live, 23.7MiB allocated

Counts

2 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Outputs
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
14.6%	1	`cosTheta_i`
14.6%	1	`u2`
14.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
14.6%	1	`u1`

Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes4.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))

Outputs
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))

Calls

3 calls:

1.0ms	cosTheta_i
1.0ms	u2
1.0ms	u1

Results

Accuracy	Segments	Branch
14.6%	1	`cosTheta_i`
14.6%	1	`u1`
14.6%	1	`u2`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7972500920295715	0.9068351984024048

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.7972500920295715	0.9068351984024048

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	0.00970407109707594	0.01076375599950552

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	0.00970407109707594	0.01076375599950552

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	0.00970407109707594	0.01076375599950552

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	0.0011675867717713118	0.0012910600053146482

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	2.3050316144690441e-7	3.1897477015263576e-7

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	2.3050316144690441e-7	3.1897477015263576e-7

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	2.3050316144690441e-7	3.1897477015263576e-7

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	0.006181228440254927	0.006325987167656422

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	0.006181228440254927	0.006325987167656422

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	0.006181228440254927	0.006325987167656422

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	0.006181228440254927	0.006325987167656422

Compiler

Compiled 17 to 17 computations (0% saved)

simplify29.0ms (0.2%)

Memory

-37.1MiB live, 47.8MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	588
1	140	588
2	143	588
3	145	588
4	146	588

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f32 (sin.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 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))

Outputs
(/.f32 (sin.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 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13421773/16777216 binary32)) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 u2 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))))
(/.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))) (.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) u2) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 u2 (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5368709/536870912 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 5153961/4294967296 binary32)) (.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))) (.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(literal 314159265359/50000000000 binary32)) u2))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 u1))) (.f32 u2 (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))) #s(literal 314159265359/50000000000 binary32)))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 u1))) (.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)) #s(literal 659707/2199023255552 binary32)) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 u1))) (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (.f32 (sqrt.f32 u1) u2) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)) (.f32 u2 (sqrt.f32 u1))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 13314399/2147483648 binary32)) (.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1))) (.f32 (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))) (sqrt.f32 u1)))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (fma.f32 u1 u1 u1)))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (sqrt.f32 u1)))
(.f32 (.f32 u1 u1) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) (*.f32 u1 u1))
(.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (*.f32 u1 u1)))

soundness1.9s (14%)

Memory

5.7MiB live, 1 582.2MiB allocated

Rules

17 094×	`accelerator-lowering-fma.f32`
17 094×	`accelerator-lowering-fma.f64`
13 190×	`accelerator-lowering-fma.f32`
13 190×	`accelerator-lowering-fma.f64`
11 438×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1002
1	602	910
2	1736	837
3	5177	784
4	7592	783
0	8372	754
0	792	7828
1	2610	6883
0	8307	6362
0	548	4498
1	1791	3900
2	6438	3612
0	8246	3413
0	527	4803
1	1713	4109
2	5869	3933
0	8275	3738
0	10	32
1	40	32
2	231	32
3	1947	32
0	9665	32
0	33	167
1	169	163
2	1256	163
0	8411	149
0	33	162
1	171	155
2	1152	155
0	8637	140

Stop Event

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

Compiler

Compiled 1 656 to 816 computations (50.7% saved)

preprocess227.0ms (1.7%)

Memory

-4.3MiB live, 192.8MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 378 to 356 computations (74.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36

analyze290.0ms (2.1%)

sample1.5s (10.9%)

preprocess52.0ms (0.4%)

explain141.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0%)

localize41.0ms (0.3%)

series14.0ms (0.1%)

rewrite322.0ms (2.4%)

simplify558.0ms (4.1%)

eval62.0ms (0.5%)

prune122.0ms (0.9%)

simplify297.0ms (2.2%)

localize172.0ms (1.3%)

series35.0ms (0.3%)

rewrite623.0ms (4.6%)

simplify522.0ms (3.8%)

eval143.0ms (1.1%)

prune229.0ms (1.7%)

simplify59.0ms (0.4%)

localize335.0ms (2.5%)

series46.0ms (0.3%)

rewrite525.0ms (3.9%)

simplify636.0ms (4.7%)

eval262.0ms (1.9%)

prune386.0ms (2.8%)

simplify32.0ms (0.2%)

localize199.0ms (1.5%)

series44.0ms (0.3%)

rewrite471.0ms (3.5%)

simplify517.0ms (3.8%)

eval123.0ms (0.9%)

prune284.0ms (2.1%)

regimes431.0ms (3.2%)

regimes282.0ms (2.1%)

regimes275.0ms (2%)

regimes68.0ms (0.5%)

regimes219.0ms (1.6%)

regimes232.0ms (1.7%)

regimes185.0ms (1.4%)

regimes131.0ms (1%)

regimes173.0ms (1.3%)

regimes70.0ms (0.5%)

regimes33.0ms (0.2%)

regimes32.0ms (0.2%)

regimes62.0ms (0.5%)

regimes53.0ms (0.4%)

regimes36.0ms (0.3%)

regimes34.0ms (0.3%)

regimes21.0ms (0.2%)

regimes21.0ms (0.2%)

regimes10.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes12.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify29.0ms (0.2%)

soundness1.9s (14%)

preprocess227.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	36
1	16	36
2	20	36
3	25	36
4	32	36
5	42	36
6	57	36
7	80	36
8	102	36
9	110	36
10	112	36
0	112	36