Metrics for Trowbridge-Reitz Sample, near normal, slope

analyze286.0ms (2%)

Memory

-8.8MiB live, 697.2MiB 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)

sample2.0s (14.5%)

Memory

55.2MiB live, 2 123.4MiB allocated

Samples

1.6s	8 256×	0	valid
0.0ms	2×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

const: 382.0ms (33.6% of total)

ival-sin: 151.0ms (13.3% of total)

ival-<=: 149.0ms (13.1% of total)

ival-mult: 112.0ms (9.9% of total)

ival-div: 107.0ms (9.4% of total)

ival-sqrt: 95.0ms (8.4% of total)

ival-sub: 75.0ms (6.6% of total)

ival-and: 33.0ms (2.9% of total)

ival->: 25.0ms (2.2% of total)

exact: 5.0ms (0.4% of total)

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

Bogosity

preprocess69.0ms (0.5%)

Memory

-46.1MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	106
1	78	101
2	132	101
3	243	99
4	470	99
5	854	99
6	1104	99
7	1238	99
8	1310	99
9	1356	99
10	1372	99
11	1376	99
0	10	11
0	16	11
1	22	11
2	26	11
3	31	11
4	38	11
5	48	11
6	63	11
7	86	11
8	108	11
9	116	11
10	118	11
0	118	11

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs cosTheta_i)

(negabs u2)

explain167.0ms (1.2%)

Memory

28.7MiB live, 142.0MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
1	-	1	(0.9999954700469971 0.04510048031806946 0.4966607987880707)	`(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	1
-	0	255

Precision

0/0

Recall

0.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

65.0ms

512×

valid

Compiler

Compiled 104 to 48 computations (53.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 18.0ms (36.9% of total)

ival-mult: 9.0ms (18.5% of total)

ival-sin: 7.0ms (14.4% of total)

const: 7.0ms (14.4% of total)

ival-sqrt: 3.0ms (6.2% of total)

ival-sub: 2.0ms (4.1% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(.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 (0.1%)

Memory

7.9MiB live, 7.9MiB 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×	`lower-+.f64`
36×	`lower-+.f32`
26×	`sub-neg`
26×	`lower--.f64`
24×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (0.4%)

Memory

-32.3MiB live, 44.6MiB 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	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.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: 21.0ms

const: 9.0ms (42% of total)

ival-mult: 3.0ms (14% of total)

ival-sin: 3.0ms (14% of total)

ival-div: 2.0ms (9.3% of total)

ival-sqrt: 2.0ms (9.3% of total)

ival-sub: 1.0ms (4.7% of total)

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

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

exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

19.6MiB live, 19.6MiB allocated

Counts

6 → 84

Calls

Call 1

Inputs
#<alt (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))>
#<alt (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))>
#<alt (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))>
#<alt (-.f32 #s(literal 1 binary32) u1)>
#<alt (*.f32 #s(literal 314159265359/50000000000 binary32) u2)>
#<alt (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) 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
1.0ms	u2	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))

simplify436.0ms (3.1%)

Memory

9.2MiB live, 590.6MiB allocated

Algorithm

1×	egg-herbie

Rules

17 094×	`lower-fma.f64`
17 094×	`lower-fma.f32`
5 704×	`lower-*.f64`
5 704×	`lower-*.f32`
3 272×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

84 → 83

Calls

Call 1

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

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

rewrite258.0ms (1.8%)

Memory

37.9MiB live, 465.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

6 → 521

Calls

Call 1

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

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

eval80.0ms (0.6%)

Memory: -42.2MiB live, 170.1MiB allocated
Compiler: Compiled 16 350 to 2 497 computations (84.7% saved)

prune102.0ms (0.7%)

Memory

34.1MiB live, 230.9MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	576	28	604
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	576	29	605

Accuracy

99.6%

Counts

605 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.1%	(.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)))
	70.6%	(.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)))
	86.5%	(.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))))
	97.9%	(.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)))
	72.1%	(.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)))
	72.1%	(.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)))
	95.4%	(.f32 (sqrt.f32 (pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.5%	(.f32 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (-.f32 (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	85.8%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.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 #s(literal -1 binary32) (/.f32 #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 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	86.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
▶	79.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.1%	(.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)))
	86.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 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 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 u1))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	93.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	96.2%	(.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)))
	87.8%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (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)))
▶	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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 1 362 to 825 computations (39.4% saved)

simplify127.0ms (0.9%)

Memory

-14.1MiB live, 101.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
✓	cost-diff	160	(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))))
✓	cost-diff	0	(+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	cost-diff	0	(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓	cost-diff	0	(.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)))
✓	cost-diff	0	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Rules

976×	`lower-fma.f64`
972×	`lower-fma.f32`
508×	`lower-*.f64`
496×	`lower-*.f32`
264×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	295
0	65	295
1	97	287
2	156	286
3	257	286
4	457	286
5	739	286
6	1111	286
7	1658	286
8	1854	286
9	1901	286
10	1929	286
11	1951	286
12	1964	286
13	1973	286
14	1980	286
15	1985	286
16	1986	286
0	1986	282

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

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

localize170.0ms (1.2%)

Memory

23.2MiB live, 250.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	99.0%	(/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.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)))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	76.0%	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	accuracy	99.5%	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	80.7%	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.5%	(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	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))

Samples

71.0ms	251×	0	valid
1.0ms	5×	0	invalid

Compiler

Compiled 293 to 34 computations (88.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 53.0ms

ival-sin: 12.0ms (22.6% of total)

ival-div: 11.0ms (20.7% of total)

ival-mult: 9.0ms (16.9% of total)

ival-sqrt: 8.0ms (15% of total)

ival-add: 6.0ms (11.3% of total)

const: 5.0ms (9.4% of total)

ival-sub: 1.0ms (1.9% of total)

ival-neg: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory

10.1MiB live, 48.6MiB allocated

Counts

22 → 324

Calls

Call 1

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

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 (* (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 (* (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))))))>
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Calls

81 calls:

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

simplify672.0ms (4.8%)

Memory

-157.7MiB live, 656.8MiB allocated

Algorithm

1×	egg-herbie

Rules

10 926×	`lower-fma.f64`
10 926×	`lower-fma.f32`
6 572×	`lower-*.f64`
6 572×	`lower-*.f32`
3 754×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	543	5200
1	1658	4577
2	5116	4519
0	8401	4316

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 320

Calls

Call 1

Inputs
(* 314159265359/50000000000 (* u2 (sqrt (/ 1 (- (/ 1 u1) 1)))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1)))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (pow u2 2) (sqrt (/ 1 (- (/ 1 u1) 1))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ 1 (- (/ 1 u1) 1))))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt (/ 1 (- (/ 1 u1) 1))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (sqrt -1))) (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (- 1 (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* u1 (sqrt -1))))) u1)) (* 1/2 (/ (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(sqrt (/ 1 u1))
(/ (+ (sqrt u1) (* -1/2 (sqrt (pow u1 3)))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/8 (sqrt u1))))) u1)
(/ (+ (sqrt u1) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* (pow u1 2) (+ (* -1/8 (sqrt (/ 1 (pow u1 3)))) (* -1/16 (sqrt (/ 1 u1)))))))) u1)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* u1 (sqrt -1)))) (/ 1/8 (* (pow u1 2) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* u1 (sqrt -1))) (* 1/16 (/ 1 (* (pow u1 3) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow u1 2) (pow (sqrt -1) 3)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+ (sqrt -1) (* -1 (/ (- (* 1/8 (/ 1 (* u1 (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(+ (sqrt -1) (* -1 (/ (- (* -1 (/ (- (* 1/16 (/ 1 (* u1 (pow (sqrt -1) 5)))) (* 1/8 (/ 1 (pow (sqrt -1) 3)))) u1)) (* 1/2 (/ 1 (sqrt -1)))) u1)))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 1 (* 1/4 (/ 1 u1)))))) (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- 1 u1))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- 1 u1)))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- 1 u1))))))))))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt u1)) (* 1/2 (sqrt (/ 1 u1))))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (sqrt (/ 1 u1))) (* 1/2 (* (sqrt u1) (- 1 (* 1/4 (/ 1 u1))))))))))
(sqrt -1)
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(- (+ (sqrt -1) (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(- (+ (sqrt -1) (+ (* -1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))) (* -1/2 (/ (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* (sqrt u1) (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)))
(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) (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)))
u1
(* u1 (+ 1 u1))
(* u1 (+ 1 (* u1 (+ 1 u1))))
(* u1 (+ 1 (* u1 (+ 1 (* u1 (+ 1 u1))))))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (/ 1 u1)) (pow u1 2))) (+ 1 (/ 1 u1)))
-1
(* -1 (+ 1 (/ 1 u1)))
(- (* -1 (/ (+ 1 (/ 1 u1)) u1)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 u1) (/ 1 (pow u1 2)))) u1)) 1)
(/ 1 u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
(/ (+ 1 (* -1 u1)) u1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
-1
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
(- (/ 1 u1) 1)
1
(+ 1 (* -1 u1))
(+ 1 (* u1 (- (* -2 u1) 1)))
(+ 1 (* u1 (- (* u1 (- (* 2 u1) 2)) 1)))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 2 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (* 2 (/ 1 (pow u1 3)))) (+ 1 (/ 2 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 u1))) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 2 (/ 1 u1))) u1))) u1)))))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(* (sqrt u1) (sin (* 314159265359/50000000000 u2)))
(+ (* 1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (sin (* 314159265359/50000000000 u2))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* 3/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (sin (* 314159265359/50000000000 u2))) (* (pow u1 2) (+ (* 1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* 1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (- 3 (* 1/4 (/ 1 u1)))))) (* 3/2 (* (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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (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)))))
(* (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))) (* 5/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) u2))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2)))))))
(* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1)))))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (pow u2 2))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))))))))))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) (sin (* 314159265359/50000000000 u2)))
(sqrt u1)
(+ (sqrt u1) (* 1/2 (sqrt (pow u1 3))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* 3/2 (sqrt u1)))))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (sqrt -1)))) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1)))))) (/ 1/2 (* u1 (sqrt -1))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* 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))
(pow u1 2)
(* (pow u1 2) (+ 1 (* -1 u1)))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
u1
(* u1 (- 1 (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))
u1
(* -1 (* u1 (- (/ 1 u1) 1)))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
-1
(- (pow u1 2) 1)
(- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1)
(- (* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1)))) 1)
(/ -1 (pow u1 2))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ -1 (pow u1 2))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))

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 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))) (.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))))))
(* 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))))
(.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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))
(* (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)))
(* (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) (sin (* 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 u1))
(+ (* 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)))))))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(fma.f32 (.f32 u1 u1) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (sqrt.f32 u1) #s(literal 3/2 binary32))) (sqrt.f32 u1))
(+ (sqrt u1) (* (pow u1 2) (+ (* 1/2 (sqrt (/ 1 u1))) (* u1 (+ (* 1/2 (* (sqrt u1) (- 3 (* 1/4 (/ 1 u1))))) (* 3/2 (sqrt (/ 1 u1))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal 3/2 binary32) (.f32 (sqrt.f32 u1) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/4 binary32) u1) #s(literal 3/2 binary32)))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (sqrt.f32 u1))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(- (sqrt -1) (* 1/2 (/ 1 (* u1 (sqrt -1)))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal -1/2 binary32) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(- (+ (sqrt -1) (* 1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (sqrt -1))))) (/ 1/2 (* u1 (sqrt -1))))
(+.f32 (sqrt.f32 #s(literal -1 binary32)) (+.f32 (/.f32 #s(literal 5/8 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 (* -1/2 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2)))) (* (pow u1 3) (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 (/.f32 #s(literal 5/8 binary32) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))) (/.f32 #s(literal 3/16 binary32) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))
(sqrt -1)
(sqrt.f32 #s(literal -1 binary32))
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(fma.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (sqrt.f32 #s(literal -1 binary32)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* 5/8 (/ (sqrt -1) u1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal 5/8 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32))) u1))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))
(-.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) #s(literal -3/16 binary32) (*.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -5/8 binary32))) (neg.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 (*.f32 u2 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))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (+ 1 (* -1 u1)))
(*.f32 u1 (fma.f32 u1 (neg.f32 u1) u1))
(* (pow u1 2) (+ 1 (* u1 (- u1 1))))
(.f32 u1 (fma.f32 (.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32)) u1))
(* (pow u1 2) (+ 1 (* u1 (- (* u1 (+ 1 (* -1 u1))) 1))))
(.f32 u1 (fma.f32 (.f32 u1 u1) (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)) u1))
u1
(* u1 (- 1 (/ 1 u1)))
(+.f32 u1 #s(literal -1 binary32))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (/ 1 u1)))
(+.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(* u1 (- (+ 1 (/ 1 (pow u1 2))) (+ (/ 1 u1) (/ 1 (pow u1 3)))))
(+.f32 u1 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) u1))
u1
(* -1 (* u1 (- (/ 1 u1) 1)))
(+.f32 u1 #s(literal -1 binary32))
(* -1 (* u1 (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1)))
(+.f32 u1 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(* -1 (* u1 (- (* -1 (/ (- (* -1 (/ (- (/ 1 u1) 1) u1)) 1) u1)) 1)))
(+.f32 u1 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1) u1))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1)
(fma.f32 u1 (fma.f32 u1 (*.f32 u1 (neg.f32 u1)) u1) #s(literal -1 binary32))
(- (* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1)))) 1)
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 u1 (fma.f32 u1 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (*.f32 u1 u1))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1)))))) (*.f32 u1 u1))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1))))) (*.f32 u1 u1))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 (.f32 u1 u1) (.f32 u1 u1)))))) (*.f32 u1 u1))

rewrite459.0ms (3.3%)

Memory

5.4MiB live, 909.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 800×	`lower-/.f64`
4 786×	`lower-/.f32`
4 704×	`lower-*.f64`
4 692×	`lower-*.f32`
3 636×	`lower-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	205
0	65	203
1	212	196
2	1485	196
0	8146	196

Stop Event

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

Counts

22 → 1 150

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

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

eval261.0ms (1.9%)

Memory: 19.2MiB live, 529.7MiB allocated
Compiler: Compiled 60 367 to 6 616 computations (89% saved)

prune284.0ms (2%)

Memory

6.5MiB live, 732.9MiB allocated

Pruning

54 alts after pruning (49 fresh and 5 done)

	Pruned	Kept	Total
New	1 580	40	1 620
Fresh	14	9	23
Picked	1	4	5
Done	0	1	1
Total	1 595	54	1 649

Accuracy

99.8%

Counts

1 649 → 54

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.0%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.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)))))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
	98.0%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (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))))))
	97.9%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.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))))))
✓	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	74.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
	92.7%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 u1)) u1)))
	89.2%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1)))
	92.4%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	89.9%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	86.0%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	79.6%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.0%	(/.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))))
	79.4%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	79.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.3%	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.8%	(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
▶	73.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) (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)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	86.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
✓	79.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.7%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal -1 binary32))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	85.4%	(.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ ( (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.1%	(.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)))
	86.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
	97.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.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)))
✓	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	69.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	66.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
▶	64.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.7%	(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)))
	92.6%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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))))))
	86.2%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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)))))
	92.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
▶	86.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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 2 171 to 1 442 computations (33.6% saved)

simplify317.0ms (2.3%)

Memory

6.1MiB live, 656.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	96	(fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))
✓	cost-diff	0	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
✓	cost-diff	928	(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓	cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	cost-diff	0	(sqrt.f32 u1)
✓	cost-diff	0	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	cost-diff	0	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(.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)))
✓	cost-diff	64	(-.f32 (neg.f32 u1) #s(literal 1 binary32))
✓	cost-diff	64	(-.f32 (*.f32 u1 u1) #s(literal 1 binary32))
✓	cost-diff	544	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Rules

14 820×	`lower-fma.f64`
14 814×	`lower-fma.f32`
2 642×	`lower--.f64`
2 636×	`lower--.f32`
2 508×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	425
0	86	435
1	150	429
2	266	415
3	524	367
4	1007	367
5	3370	367
0	8267	363

Stop Event

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

Calls

Call 1

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

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

localize183.0ms (1.3%)

Memory

-25.3MiB live, 414.5MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	18.1%	#s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))
✓	accuracy	99.1%	(.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))
✓	accuracy	99.0%	(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
✓	accuracy	98.6%	(fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
✓	accuracy	87.3%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
✓	accuracy	99.2%	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	80.7%	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	80.7%	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	76.0%	#s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.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)))
✓	accuracy	98.9%	(/.f32 (-.f32 (*.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Samples

112.0ms	251×	0	valid
2.0ms	5×	0	invalid

Compiler

Compiled 379 to 45 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 39.0ms (43.8% of total)

ival-div: 15.0ms (16.8% of total)

const: 13.0ms (14.6% of total)

ival-sqrt: 8.0ms (9% of total)

ival-add: 5.0ms (5.6% of total)

ival-sin: 4.0ms (4.5% of total)

ival-sub: 3.0ms (3.4% of total)

ival-neg: 2.0ms (2.2% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory

-10.4MiB live, 67.7MiB allocated

Counts

26 → 408

Calls

Call 1

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

Outputs
#<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 -1>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (- (pow u1 2) 1)>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt (* (pow u1 2) (- 1 (/ 1 (pow u1 2))))>
#<alt -1>
#<alt (- (* -1 u1) 1)>
#<alt (- (* -1 u1) 1)>
#<alt (- (* -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 (* -1 u1)>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
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#<alt (* 314159265359/50000000000 (* (sqrt (/ u1 (- (* -1 (/ (- u1 1) (+ 1 (pow u1 2)))) (/ (pow u1 2) (+ 1 u1))))) u2))>
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#<alt (sqrt u1)>
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#<alt (- (+ (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 (/ (- 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (* (pow u1 2) (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)) (* 5/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* -5/8 (sqrt -1)) (* -3/16 (/ (sqrt -1) u1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt u1>
#<alt (* u1 (+ 1 u1))>
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#<alt (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 3))) (+ 1 (/ 1 u1)))>
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#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
#<alt (* 314159265359/50000000000 u2)>
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#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
#<alt (sin (* 314159265359/50000000000 u2))>
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#<alt (/ -1 (pow u1 2))>
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#<alt (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))>
#<alt (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))>
#<alt (/ -1 (pow u1 2))>
#<alt (/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))>
#<alt (/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))>
#<alt (/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))>

Calls

102 calls:

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

simplify445.0ms (3.2%)

Memory

7.8MiB live, 685.5MiB allocated

Algorithm

1×	egg-herbie

Rules

11 320×	`lower-fma.f64`
11 320×	`lower-fma.f32`
6 886×	`lower-*.f64`
6 886×	`lower-*.f32`
4 504×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	769	7425
1	2407	6664
2	7777	6646
0	8052	6313

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 407

Calls

Call 1

Inputs
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
-1
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(- (pow u1 2) 1)
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(pow u1 2)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
-1
(- (* -1 u1) 1)
(- (* -1 u1) 1)
(- (* -1 u1) 1)
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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1
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(sqrt u1)
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u1
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(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
(* 314159265359/50000000000 u2)
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(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))
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (pow u1 3)) (pow u2 2))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* 31006276680305942139213528068663279/2000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -31006276680305942139213528068663279/2400000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)))
(* -1 (pow u1 2))
(* (pow u1 2) (- u1 1))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
-1
(- (pow u1 2) 1)
(- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1)
(- (* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1)))) 1)
(/ -1 (pow u1 2))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ -1 (pow u1 2))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(pow u1 2)
(*.f32 u1 u1)
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
(* (pow u1 2) (- 1 (/ 1 (pow u1 2))))
(.f32 (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 u1 u1))))
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 u1 #s(literal -1/2 binary32)) (fma.f32 (sqrt.f32 u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (+.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)) (neg.f32 (sqrt.f32 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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/8 binary32) (.f32 u1 u1)) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) u1) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 #s(literal 5/16 binary32) (/.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (.f32 u1 (.f32 u1 u1))) (fma.f32 (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (/.f32 #s(literal 3/8 binary32) (.f32 u1 u1)) (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) u1) (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 1/2 binary32)) u1) (.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))) (* -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 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 #s(literal -3/8 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)))) (neg.f32 u1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 (.f32 #s(literal 5/16 binary32) (sqrt.f32 #s(literal -1 binary32))) u1) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal 3/8 binary32)))) (neg.f32 u1))) (neg.f32 u1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(.f32 (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 #s(literal -1 binary32))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(.f32 u2 (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 (.f32 u2 u2) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (.f32 u2 (.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (sqrt.f32 #s(literal -1 binary32)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 #s(literal -1 binary32))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32))) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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(* 314159265359/50000000000 u2)
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(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
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(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ u1 (- 1 u1))) (pow u2 2)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2)))
(.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (pow u1 3)) (pow u2 2))))
(.f32 (.f32 u2 u2) (fma.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 u1))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))
(fma.f32 (.f32 (.f32 u1 u1) #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32)) (.f32 (.f32 u2 u2) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)))) (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt u1) (pow u2 2))) (* (pow u1 2) (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))) (* u1 (+ (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt u1) (* (pow u2 2) (- 1 (* 1/4 (/ 1 u1)))))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (* (sqrt (/ 1 u1)) (pow u2 2))))))))
(fma.f32 (.f32 u1 u1) (fma.f32 u1 (.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (fma.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 u2 u2)))) (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32)))) (.f32 (sqrt.f32 u1) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (.f32 #s(literal 31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (.f32 u2 u2)) (*.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 #s(literal 31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (/.f32 (.f32 u2 u2) (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal 31006276680305942139213528068663279/2000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (pow u2 2) (* u1 (sqrt -1)))))))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (fma.f32 #s(literal 31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (fma.f32 u2 (/.f32 u2 (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 u2 u2) #s(literal 5/8 binary32)) (.f32 u1 (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32))))))) (/.f32 (.f32 #s(literal 31006276680305942139213528068663279/2000000000000000000000000000000000 binary32) (.f32 u2 u2)) (.f32 u1 (.f32 u1 (sqrt.f32 #s(literal -1 binary32)))))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))
(.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -31006276680305942139213528068663279/1500000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 (sqrt.f32 #s(literal -1 binary32)))) (/.f32 (.f32 #s(literal -31006276680305942139213528068663279/1500000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32))))) u1))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* 31006276680305942139213528068663279/2000000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 u2) #s(literal 31006276680305942139213528068663279/1500000000000000000000000000000000 binary32)) (/.f32 (.f32 #s(literal 31006276680305942139213528068663279/2000000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32))))) u1)) (neg.f32 u1)))
(+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -31006276680305942139213528068663279/2000000000000000000000000000000000 (* (pow u2 2) (sqrt -1))) (* -31006276680305942139213528068663279/2400000000000000000000000000000000 (/ (* (pow u2 2) (sqrt -1)) u1))) u1)) (* 31006276680305942139213528068663279/1500000000000000000000000000000000 (* (pow u2 2) (sqrt -1)))) u1)))
(fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 u2) #s(literal 31006276680305942139213528068663279/1500000000000000000000000000000000 binary32)) (/.f32 (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/2000000000000000000000000000000000 binary32)) (/.f32 (.f32 #s(literal -31006276680305942139213528068663279/2400000000000000000000000000000000 binary32) (.f32 u2 (*.f32 u2 (sqrt.f32 #s(literal -1 binary32))))) u1)) (neg.f32 u1))) (neg.f32 u1)))
(* -1 (pow u1 2))
(*.f32 u1 (neg.f32 u1))
(* (pow u1 2) (- u1 1))
(*.f32 u1 (fma.f32 u1 u1 (neg.f32 u1)))
(* (pow u1 2) (- (* u1 (+ 1 (* -1 u1))) 1))
(.f32 u1 (.f32 u1 (fma.f32 u1 (-.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(* (pow u1 2) (- (* u1 (+ 1 (* u1 (- u1 1)))) 1))
(.f32 (.f32 u1 u1) (fma.f32 u1 (fma.f32 u1 (+.f32 #s(literal -1 binary32) u1) #s(literal 1 binary32)) #s(literal -1 binary32)))
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) (+ 1 (/ 1 (pow u1 2)))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(* u1 (- (+ (/ 1 u1) (/ 1 (pow u1 3))) (+ 1 (/ 1 (pow u1 2)))))
(+.f32 #s(literal 1 binary32) (.f32 u1 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (.f32 u1 u1)))))
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(*.f32 (neg.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)))
(* -1 (* u1 (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1)))))
(neg.f32 (fma.f32 u1 (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) (neg.f32 u1)) u1))
(* -1 (* u1 (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 u1)) u1))) u1)))))
(neg.f32 (fma.f32 u1 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u1)) u1)) (neg.f32 u1)) u1))
-1
#s(literal -1 binary32)
(- (pow u1 2) 1)
(fma.f32 u1 u1 #s(literal -1 binary32))
(- (* (pow u1 2) (+ 1 (* -1 (pow u1 2)))) 1)
(fma.f32 u1 (*.f32 u1 (fma.f32 u1 (neg.f32 u1) #s(literal 1 binary32))) #s(literal -1 binary32))
(- (* (pow u1 2) (+ 1 (* (pow u1 2) (- (pow u1 2) 1)))) 1)
(fma.f32 (.f32 u1 u1) (fma.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (.f32 u1 u1))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))))) (.f32 u1 u1))
(/ -1 (pow u1 2))
(/.f32 #s(literal -1 binary32) (*.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) 1) (pow u1 2))
(/.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 u1))) (.f32 u1 u1))
(/ (- (/ 1 (pow u1 2)) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32))))) (.f32 u1 u1))
(/ (- (+ (/ 1 (pow u1 2)) (/ 1 (pow u1 6))) (+ 1 (/ 1 (pow u1 4)))) (pow u1 2))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 6 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u1 #s(literal 4 binary32)))))) (.f32 u1 u1))

rewrite308.0ms (2.2%)

Memory

31.0MiB live, 384.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 412×	`lower-/.f64`
4 400×	`lower-/.f32`
3 348×	`lower-fma.f64`
3 342×	`lower-fma.f32`
3 088×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	330
0	86	310
1	285	290
2	2064	284
0	9093	280

Stop Event

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

Counts

26 → 861

Calls

Call 1

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

Outputs
(neg.f32 (+.f32 u1 #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 u1)))
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u1) #s(literal -1 binary32)))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(+.f32 (neg.f32 (neg.f32 u1)) #s(literal 1 binary32))
(pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 (neg.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (*.f32 u1 u1) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 (*.f32 u1 u1) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) (*.f32 u1 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
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(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 u1 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1))))
(/.f32 (neg.f32 u1) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) u1)))
(/.f32 (neg.f32 (neg.f32 u1)) (neg.f32 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (-.f32 (.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (.f32 (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) u1)) (.f32 (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 u1))) (neg.f32 (neg.f32 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (fma.f32 (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))) (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))))))
(.f32 u1 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 #s(literal 1 binary32) (/.f32 u1 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (neg.f32 u1) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(.f32 #s(literal -1 binary32) (/.f32 u1 (neg.f32 (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) u1)
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))) (pow.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32)))
(.f32 (/.f32 u1 (fma.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))) (/.f32 (.f32 (+.f32 u1 #s(literal 1 binary32)) (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32)))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))) (fma.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) (-.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (*.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))))
(.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))
(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
(*.f32 u2 #s(literal 314159265359/50000000000 binary32))
(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
(.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(.f32 (.f32 u2 u2) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(.f32 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) u2)
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 u1))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))) (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))))
(/.f32 (.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (neg.f32 (.f32 (sqrt.f32 u1) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))) (neg.f32 (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u2 u2)))
(.f32 (.f32 u2 u2) (*.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))
(.f32 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) (*.f32 u2 u2))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2)
#s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))
(neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(exp.f32 (*.f32 (log.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1 binary32)))
(pow.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32))))))
(/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (fma.f32 u1 u1 #s(literal 1 binary32)))))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(literal -1 binary32))
(.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 u1 u1) (.f32 u1 (.f32 u1 (.f32 u1 u1))) #s(literal 1 binary32))) (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 u1 u1) (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 #s(literal -1 binary32)))

eval200.0ms (1.4%)

Memory: 20.3MiB live, 286.1MiB allocated
Compiler: Compiled 37 712 to 4 754 computations (87.4% saved)

prune307.0ms (2.2%)

Memory

-41.0MiB live, 527.1MiB allocated

Pruning

68 alts after pruning (61 fresh and 7 done)

	Pruned	Kept	Total
New	1 386	25	1 411
Fresh	8	36	44
Picked	3	2	5
Done	0	5	5
Total	1 397	68	1 465

Accuracy

99.8%

Counts

1 465 → 68

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
	98.0%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (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))))))
✓	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
▶	74.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
	92.7%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 u1)) u1)))
	89.2%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1)))
	92.4%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	89.9%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	86.0%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	62.7%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))
	79.6%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	98.0%	(/.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))))
	62.8%	(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.4%	(.f32 (/.f32 #s(literal 1 binary32) (/.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))))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
✓	79.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.9%	(.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ (- 1 u1) u1)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)))))) (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	69.9%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	73.3%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(approx (/ -1 (+ ( u1 u1) 1)) #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	92.5%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
▶	86.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
✓	79.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	62.7%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.1%	(.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)))
	86.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
	97.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	75.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
▶	72.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (+ ( (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1))))) (fma.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal 3 binary32)) u1) 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)))
✓	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	69.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	71.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	66.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
✓	64.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.7%	(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)))
	92.6%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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))))))
	86.2%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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)))))
	65.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)))) u2 (.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))))))
	65.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (fma.f32 (.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) u2 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) u2))))
	65.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) u2))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	86.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	92.6%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))
	85.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))))
	77.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) #s(approx (sqrt (/ u1 (- 1 u1))) (fma.f32 (sqrt.f32 (.f32 u1 (.f32 u1 u1))) #s(literal 1/2 binary32) (sqrt.f32 u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
	85.9%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) #s(approx (* u2 (+ (* 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1)))))) (.f32 (fma.f32 #s(literal 314159265359/50000000000 binary32) (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 u2 u2)) (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))) (.f32 u2 (*.f32 u2 u2)))))

Compiler

Compiled 2 968 to 1 890 computations (36.3% saved)

simplify346.0ms (2.5%)

Memory

25.0MiB live, 454.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1)))
✓	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 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u1) u1)
✓	cost-diff	0	(sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))
✓	cost-diff	0	(/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1)))
✓	cost-diff	160	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u1)
✓	cost-diff	0	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (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	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
✓	cost-diff	0	(sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))
✓	cost-diff	0	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	0	(sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))))
✓	cost-diff	0	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	cost-diff	64	(-.f32 (neg.f32 u1) #s(literal 1 binary32))
✓	cost-diff	544	(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Rules

14 006×	`lower-fma.f64`
13 994×	`lower-fma.f32`
3 022×	`lower-*.f64`
3 002×	`lower-*.f32`
1 428×	`lower-+.f64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	393
0	90	417
1	155	415
2	283	406
3	590	406
4	1342	366
5	2697	366
6	5481	366
0	8151	366

Stop Event

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

Calls

Call 1

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

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

localize185.0ms (1.3%)

Memory

36.8MiB live, 419.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.8%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
✓	accuracy	72.4%	#s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))
✓	accuracy	99.1%	(.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
✓	accuracy	99.0%	(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))
✓	accuracy	98.9%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
✓	accuracy	93.7%	#s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
✓	accuracy	99.2%	(.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))
✓	accuracy	99.1%	(fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
✓	accuracy	87.0%	#s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	87.5%	#s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))
✓	accuracy	80.4%	#s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.4%	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
✓	accuracy	99.1%	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
✓	accuracy	98.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	accuracy	98.9%	(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32)))

Samples

103.0ms

256×

valid

Compiler

Compiled 322 to 47 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

ival-mult: 31.0ms (38.2% of total)

const: 15.0ms (18.5% of total)

ival-div: 11.0ms (13.6% of total)

ival-add: 8.0ms (9.9% of total)

ival-sqrt: 8.0ms (9.9% of total)

ival-sin: 4.0ms (4.9% of total)

ival-sub: 2.0ms (2.5% of total)

ival-neg: 1.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series16.0ms (0.1%)

Memory

-8.9MiB live, 33.2MiB allocated

Counts

28 → 396

Calls

Call 1

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

Outputs
#<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 -1>
#<alt (- (* -1 u1) 1)>
#<alt (- (* -1 u1) 1)>
#<alt (- (* -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 (* -1 u1)>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* -1 (* u1 (+ 1 (/ 1 u1))))>
#<alt (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))>
#<alt (+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))>
#<alt (+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))>
#<alt (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))>
#<alt (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))>
#<alt (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))>
#<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)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))>
#<alt (* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))>
#<alt (* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))>
#<alt (* (sqrt u1) (pow (sqrt -1) 2))>
#<alt (+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))>
#<alt (+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))>
#<alt (+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))>
#<alt (+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))>
#<alt (* (sqrt u1) (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 u1>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (* u1 (+ 1 u1))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (pow u1 2)>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<alt (* (pow u1 2) (+ 1 (/ 1 u1)))>
#<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)))))))>
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#<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 (* (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>
#<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 (* 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 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>
#<alt (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))>
#<alt (* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))>
#<alt (* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))>
#<alt (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))>
#<alt (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<alt (* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))>
#<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)>

Calls

99 calls:

Time	Variable		Point	Expression
4.0ms	u2	@	0	(* (sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1)))) (sin (* 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(+ (* (* u2 u2) (+ (* u2 (* u2 (+ (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))) -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000)
0.0ms	u2	@	0	(* u2 (+ (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))
0.0ms	u2	@	inf	(* u2 (+ (* (* u2 u2) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000) 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000))
0.0ms	u1	@	0	(sqrt (/ u1 (/ (+ (* u1 u1) -1) (- (neg u1) 1))))

simplify396.0ms (2.8%)

Memory

4.5MiB live, 666.8MiB allocated

Algorithm

1×	egg-herbie

Rules

11 708×	`lower-fma.f64`
11 708×	`lower-fma.f32`
6 224×	`lower-*.f64`
6 224×	`lower-*.f32`
4 330×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	471	5464
1	1434	5021
2	4369	4607
0	8371	4385

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 393

Calls

Call 1

Inputs
1
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(+ 1 (* -1 u1))
(* -1 u1)
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* u1 (- (/ 1 u1) 1))
(* -1 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
(* -1 (* u1 (- 1 (/ 1 u1))))
-1
(- (* -1 u1) 1)
(- (* -1 u1) 1)
(- (* -1 u1) 1)
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* -1 (* u1 (+ 1 (/ 1 u1))))
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (sin (* 314159265359/50000000000 u2)) (sqrt -1))
(+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))) (* -3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(+ (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* 3/8 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* -1/2 (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* u2 (sqrt -1))))
(* u2 (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1))))))))
(* u2 (+ (* 314159265359/50000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1))) (* (pow u2 2) (+ (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (pow u2 2) (sqrt -1)))) (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (sqrt -1)))))))))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt (/ (* u1 (+ 1 u1)) (- (pow u1 2) 1))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(* (sqrt u1) (pow (sqrt -1) 2))
(+ (* -1/2 (sqrt (pow u1 3))) (* (sqrt u1) (pow (sqrt -1) 2)))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt u1)) (* -1/2 (sqrt (/ 1 u1))))))
(+ (* (sqrt u1) (pow (sqrt -1) 2)) (* (pow u1 2) (+ (* -1/2 (sqrt (/ 1 u1))) (* u1 (+ (* -1/2 (sqrt (/ 1 u1))) (* -1/2 (* (sqrt u1) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2))))))))))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1))))
(+ (sqrt -1) (+ (* 5/16 (/ (sqrt -1) (pow u1 3))) (+ (* 3/8 (/ (sqrt -1) (pow u1 2))) (* 1/2 (/ (sqrt -1) u1)))))
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ (sqrt -1) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1/2 (sqrt -1)) (* -3/8 (/ (sqrt -1) u1))) u1)))
(+ (sqrt -1) (* -1 (/ (+ (* -1 (/ (+ (* 5/16 (/ (sqrt -1) u1)) (* 3/8 (sqrt -1))) u1)) (* -1/2 (sqrt -1))) u1)))
(* (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))
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(+ (* -1/2 (/ (sin (* 314159265359/50000000000 u2)) (* u1 (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2))))) (* (pow u1 2) (sqrt -1)))) (+ (* -1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/2 (/ (+ 1 (* 1/4 (/ 1 (pow (sqrt -1) 2)))) (pow (sqrt -1) 2))))) (* (pow u1 3) (sqrt -1)))) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(* (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 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(* 314159265359/50000000000 u2)
(* u2 (+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(* u2 (+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000))))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
(sin (* 314159265359/50000000000 u2))
314159265359/50000000000
(+ 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))
(* 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 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
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(/ 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)

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(+ 1 (* -1 u1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* u1 (- (/ 1 u1) 1))
(-.f32 #s(literal 1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
(* -1 (* u1 (- 1 (/ 1 u1))))
(-.f32 #s(literal 1 binary32) u1)
-1
#s(literal -1 binary32)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(- (* -1 u1) 1)
(-.f32 #s(literal -1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 u1)
(neg.f32 u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* -1 (* u1 (+ 1 (/ 1 u1))))
(-.f32 #s(literal -1 binary32) u1)
(* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)))
(+ (* -1/2 (* (sqrt (pow u1 3)) (sin (* 314159265359/50000000000 u2)))) (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (neg.f32 (sqrt.f32 u1))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt u1) (sin (* 314159265359/50000000000 u2)))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (neg.f32 (sqrt.f32 u1)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (.f32 (.f32 u1 u1) #s(literal -1/2 binary32)) (+.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))))
(+ (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (pow (sqrt -1) 2))) (* (pow u1 2) (+ (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))) (* u1 (+ (* -1/2 (* (sqrt u1) (* (sin (* 314159265359/50000000000 u2)) (+ 1 (* 1/4 (/ 1 (* u1 (pow (sqrt -1) 2)))))))) (* -1/2 (* (sqrt (/ 1 u1)) (sin (* 314159265359/50000000000 u2)))))))))
(fma.f32 (.f32 u1 (.f32 u1 u1)) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 u1) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1/4 binary32) u1)) (sqrt.f32 (/.f32 #s(literal 1 binary32) u1))))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) (.f32 #s(literal -1/2 binary32) (*.f32 u1 u1)) (neg.f32 (sqrt.f32 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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
(.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32))))
(+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(literal -1 binary32)) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) u1) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 3/8 binary32) u1)))))
(+ (* 5/16 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 3))) (+ (* 3/8 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) (pow u1 2))) (+ (* 1/2 (/ (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))))
(fma.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (fma.f32 (sqrt.f32 #s(literal -1 binary32)) (/.f32 #s(literal 1/2 binary32) u1) (sqrt.f32 #s(literal -1 binary32))) (.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.f32 (/.f32 (sqrt.f32 #s(literal -1 binary32)) (*.f32 u1 u1)) (+.f32 #s(literal 3/8 binary32) (/.f32 #s(literal 5/16 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)) (sqrt -1)) u1)) (* (sin (* 314159265359/50000000000 u2)) (sqrt -1)))
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(* 314159265359/50000000000 u2)
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(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 #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 (*.f32 u2 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 u2 (.f32 u2 (fma.f32 (.f32 u2 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
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 u2 (.f32 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 u2 (.f32 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 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))
(.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2))
(* (pow u2 2) (- (* 314159265359/50000000000 (/ 1 (pow u2 2))) 31006276680305942139213528068663279/750000000000000000000000000000000))
(.f32 u2 (.f32 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 u2 (.f32 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 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 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 (* -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 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))
(* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 3))
(.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 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)))))
(* (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 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2)))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(.f32 (-.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2))) (neg.f32 (.f32 u2 (.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(.f32 (-.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2))) (neg.f32 (.f32 u2 (.f32 u2 u2))))
(* -1 (* (pow u2 3) (- 31006276680305942139213528068663279/750000000000000000000000000000000 (* 314159265359/50000000000 (/ 1 (pow u2 2))))))
(.f32 (-.f32 #s(literal 31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (.f32 u2 u2))) (neg.f32 (.f32 u2 (.f32 u2 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 (*.f32 u2 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 u2 (.f32 u2 (fma.f32 (.f32 u2 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
#s(literal 314159265359/50000000000 binary32)
(+ 314159265359/50000000000 (* -31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 2)))
(fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow u2 2)) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32))
(+ 314159265359/50000000000 (* (pow u2 2) (- (* (pow u2 2) (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2)))) 31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 6))
(*.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))))
(* (pow u2 6) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2))) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2)))))
(* (pow u2 6) (- (+ (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) (* 314159265359/50000000000 (/ 1 (pow u2 6)))) (+ 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (/ 31006276680305942139213528068663279/750000000000000000000000000000000 (pow u2 4)))))
(.f32 (pow.f32 u2 #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)) (/.f32 #s(literal 314159265359/50000000000 binary32) (pow.f32 u2 #s(literal 6 binary32)))) (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (*.f32 u2 u2))))))
(* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 u2)
(*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* u2 (+ 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 2))))
(.f32 u2 (fma.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* (pow u2 3) (- (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))) 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))
(.f32 (.f32 u2 u2) (.f32 u2 (+.f32 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow u2 3))
(.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (neg.f32 (-.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (neg.f32 (-.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(* -1 (* (pow u2 3) (- 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (* 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (/ 1 (pow u2 2))))))
(.f32 (.f32 u2 (.f32 u2 u2)) (neg.f32 (-.f32 #s(literal 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (/.f32 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 u2)))))
(/ 1 u1)
(/.f32 #s(literal 1 binary32) u1)
(/ (+ 1 (* -1 u1)) u1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(/ (+ 1 (* -1 u1)) u1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
-1
#s(literal -1 binary32)
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))
(- (/ 1 u1) 1)
(+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))

rewrite504.0ms (3.6%)

Memory

40.0MiB live, 572.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 012×	`lower-*.f64`
3 992×	`lower-*.f32`
3 818×	`lower-/.f64`
3 806×	`lower-/.f32`
3 414×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	295
0	90	311
1	313	273
2	2133	272
0	8596	266

Stop Event

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

Counts

28 → 1 188

Calls

Call 1

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

Outputs
(neg.f32 (+.f32 u1 #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))) #s(literal -1 binary32)))
(+.f32 u1 #s(literal 1 binary32))
(+.f32 (neg.f32 u1) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) u1)
(+.f32 #s(literal 1 binary32) (neg.f32 u1))
(+.f32 (neg.f32 (neg.f32 u1)) #s(literal 1 binary32))
(pow.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))
(fma.f32 u1 #s(literal -1 binary32) #s(literal 1 binary32))
(fma.f32 u1 #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal -1 binary32) u1 #s(literal 1 binary32))
(fma.f32 (neg.f32 u1) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) u1 #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (neg.f32 u1) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) u1)
(-.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(-.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (+.f32 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)))
(-.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)) (/.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (*.f32 u1 u1) (+.f32 u1 #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) (neg.f32 u1)))) (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 u1 u1) (neg.f32 u1)))))
(-.f32 (/.f32 (.f32 (.f32 u1 u1) (.f32 u1 u1)) (.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (*.f32 u1 u1) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (neg.f32 u1))) (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 u1 u1) (*.f32 u1 u1)) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32))))
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)) (/.f32 (/.f32 (.f32 u1 (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))))))
(/.f32 (+.f32 u1 #s(literal 1 binary32)) #s(literal 1 binary32))
(/.f32 (+.f32 u1 #s(literal -1 binary32)) #s(literal -1 binary32))
(/.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal -1 binary32)) (.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1)))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32)) (neg.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)))
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1))))
(/.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) (*.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (+.f32 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)) (-.f32 #s(literal 1 binary32) (neg.f32 u1)))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (neg.f32 (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u1 u1) (neg.f32 u1)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u1 u1))) (neg.f32 (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(/.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal -1 binary32))) (neg.f32 (neg.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal -1 binary32))) (neg.f32 (.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))))
(/.f32 (neg.f32 (fma.f32 u1 (.f32 u1 (.f32 u1 u1)) #s(literal -1 binary32))) (neg.f32 (*.f32 (+.f32 u1 #s(literal -1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32))))
(/.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32)) (fma.f32 u1 u1 (-.f32 #s(literal 1 binary32) (neg.f32 u1))))
(/.f32 (*.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(literal 1 binary32)) (+.f32 u1 #s(literal -1 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u1 u1) (.f32 (.f32 u1 u1) (.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) (fma.f32 (.f32 u1 u1) (.f32 u1 u1) (+.f32 #s(literal 1 binary32) (.f32 u1 u1))))
(/.f32 (.f32 (fma.f32 u1 (.f32 u1 (*.f32 u1 u1)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))) (fma.f32 u1 u1 #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (.f32 u1 (.f32 u1 u1)))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1)) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))
(/.f32 (-.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 (+.f32 u1 #s(literal 1 binary32)) (.f32 u1 u1))) (-.f32 #s(literal 1 binary32) (*.f32 u1 u1)))
(/.f32 (neg.f32 (fma.f32 u1 (*.f32 u1 u1) #s(literal 1 binary32))) (neg.f32 (fma.f32 u1 u1 (+.f32 u1 #s(literal 1 binary32)))))
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(/.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2) (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 u2 u2)) (.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 u2))))) (neg.f32 (fma.f32 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (-.f32 (.f32 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) (.f32 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))) (neg.f32 (-.f32 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))))
(/.f32 (neg.f32 (.f32 u2 (fma.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (neg.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (-.f32 #s(literal 9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (*.f32 u2 u2) #s(literal -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/147656250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal 91221711817627583330748112482798778414716125291887808076374615423198166236445007276172486795914528366419175757794681583001398683681707368981823728724204838054561/15503906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) #s(literal -9364804747614465472577070281338582601863864447718755728585928828509634295353730111062330319448960021928803803858401/1406250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2)) (neg.f32 (fma.f32 u2 (*.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal -3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))))
(/.f32 (fma.f32 #s(literal 28658145969416290165442381333471961750989844556230473227522636145428086791117521377685758077172635994149214621519079284073046592734914808426146486440030298244654450519252399/52734375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 u2 (.f32 u2 u2)) (.f32 (.f32 (.f32 u2 u2) (.f32 (.f32 u2 u2) (.f32 u2 u2))) (.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -27551631842911368154971646275003497456156747226297770954773025041211453321397827202637865295748384857134105324369583987819621434329006199536609029400419916835254407621224347671205983718074249876357812906550005231067702405786426163182832636559/61046630859375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (fma.f32 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (-.f32 (.f32 (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32))) (.f32 u2 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))) (.f32 (.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (.f32 u2 (.f32 (*.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)))))))
(.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)))
(.f32 (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) u2)
#s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))

eval240.0ms (1.7%)

Memory: -9.0MiB live, 390.6MiB allocated
Compiler: Compiled 50 640 to 5 411 computations (89.3% saved)

prune447.0ms (3.2%)

Memory

10.2MiB live, 761.2MiB allocated

Pruning

89 alts after pruning (79 fresh and 10 done)

	Pruned	Kept	Total
New	1 737	35	1 772
Fresh	12	44	56
Picked	2	3	5
Done	0	7	7
Total	1 751	89	1 840

Accuracy

99.8%

Counts

1 840 → 89

Alt Table

Click to see full alt table

Status	Accuracy	Program
	79.4%	(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
	98.1%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))))
	98.0%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (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))))))
✓	98.2%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
✓	74.4%	(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
	92.7%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 u1)) u1)))
	89.2%	(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1)))
	92.4%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	89.9%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	71.0%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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)))) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
	86.0%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))
	62.7%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))
	79.6%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
	64.3%	(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
	98.0%	(/.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))))
	92.3%	(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))))
	69.1%	(.f32 (/.f32 #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sqrt.f32 u1))
	92.2%	(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 u1 (.f32 u1 u1))) (sqrt.f32 (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	68.9%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	92.1%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 u1 (.f32 u1 u1)) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) (.f32 u2 u2)) (fma.f32 u2 (.f32 u2 #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32)) (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))))
	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 (.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))) u2 #s(literal 314159265359/50000000000 binary32)))))
	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 (.f32 u2 u2) (fma.f32 u2 (fma.f32 (.f32 (.f32 u2 u2) #s(literal -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 binary32)) u2 (*.f32 u2 #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32))) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (+.f32 (.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)))))
✓	79.6%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	92.2%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	92.3%	(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	73.9%	(.f32 (/.f32 #s(literal 1 binary32) #s(approx (sqrt (/ (- 1 u1) u1)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (sqrt.f32 (.f32 u1 (.f32 u1 u1))) (sqrt.f32 u1)) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)))))) (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	98.1%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	81.2%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	69.9%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))))
	73.3%	(.f32 (sqrt.f32 (/.f32 u1 (fma.f32 #s(approx (/ -1 (+ ( u1 u1) 1)) #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
	86.2%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
	92.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	89.9%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	92.4%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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)))))
✓	86.1%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	85.7%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (/.f32 (fma.f32 #s(literal 961389193575684075633145058384385882649239799132134631991269883031841/562500000000000000000000000000000000000000000000000000000000000000 binary32) (.f32 (.f32 u2 u2) (.f32 u2 u2)) #s(literal -98696044010906577398881/2500000000000000000000 binary32)) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal -314159265359/50000000000 binary32))))))
	85.8%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 #s(approx (+ ( u2 (* u2 -31006276680305942139213528068663279/750000000000000000000000000000000)) 314159265359/50000000000) (.f32 u2 (.f32 u2 (+.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (/.f32 #s(literal 314159265359/50000000000 binary32) (*.f32 u2 u2)))))))))
✓	79.6%	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	69.1%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	62.7%	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	90.5%	(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	97.9%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
✓	98.1%	(.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)))
	86.5%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	73.4%	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	79.6%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.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)))
	97.9%	(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	76.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	80.2%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	75.1%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	87.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	82.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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)))))
	80.6%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
	77.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
	77.4%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
✓	72.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	72.8%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	19.5%	(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	86.9%	(.f32 (sqrt.f32 #s(approx (/ u1 (+ ( (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1))))) (fma.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal 3 binary32)) u1) 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)))
	84.5%	(.f32 #s(approx (/ 1 (sqrt (/ (- 1 u1) 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))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	71.0%	(.f32 #s(approx (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
✓	74.4%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	71.0%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	69.3%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
	66.9%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
✓	64.2%	(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
	91.7%	(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)))
	71.2%	(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #s(literal -1 binary32)))
	92.6%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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))))))
	86.2%	#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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)))))
	86.2%	#s(approx (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
	65.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) u2))
	65.0%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
	85.2%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (fma.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (.f32 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2)) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))))
	90.1%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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)))))
	79.7%	#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))

Compiler

Compiled 4 826 to 1 801 computations (62.7% saved)

regimes326.0ms (2.3%)

Memory

17.4MiB live, 750.5MiB allocated

Counts

129 → 1

Calls

Call 1

Inputs
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) #s(approx (+ ( u1 u1) u1) (.f32 u1 u1)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (+.f32 u1 #s(literal 1 binary32)) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (+.f32 (.f32 u1 u1) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u1)) u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) u1)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (.f32 (sqrt.f32 u1) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1)))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 u2 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32))))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 (/.f32 u1 (+.f32 u1 #s(literal 1 binary32)))) (fma.f32 u2 (*.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))) u2))
#s(approx (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1))) (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (*.f32 u2 u2) #s(literal 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 binary32) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32))) #s(literal 314159265359/50000000000 binary32)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (fma.f32 u2 #s(literal 314159265359/50000000000 binary32) (.f32 u2 (.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 u2 u2))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (fma.f32 (.f32 u2 (.f32 u2 u2)) #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(/.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 #s(approx (/ 1 (sqrt (/ (- 1 u1) u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (.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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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)))))
#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #s(literal 1 binary32)))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
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(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)) (/.f32 #s(literal 1 binary32) u1)) (+.f32 u1 #s(literal 1 binary32))))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 #s(approx (/ 1 (sqrt (/ (- 1 u1) 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))) #s(approx (sin ( 314159265359/50000000000 u2)) (.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 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (/.f32 #s(literal -1 binary32) (+.f32 u1 #s(literal -1 binary32))) (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32)))) u1))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
#s(approx (/ (sin (* 314159265359/50000000000 u2)) (sqrt (+ (/ 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))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (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 #s(approx (/ u1 (+ ( (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1))))) (fma.f32 u1 (fma.f32 u1 (.f32 u1 #s(literal 3 binary32)) u1) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.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 (sqrt.f32 (/.f32 u1 (fma.f32 #s(approx (/ -1 (+ ( u1 u1) 1)) #s(literal -1 binary32)) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 #s(approx (+ ( (/ -1 (+ (* u1 u1) 1)) (+ u1 -1)) (neg (/ (* u1 u1) (+ u1 1)))) (fma.f32 u1 (fma.f32 u1 #s(literal -2 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal 1 binary32)))) (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 #s(approx (sqrt (/ u1 (- 1 u1))) (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 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (-.f32 #s(literal -1 binary32) u1))))) (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))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.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 (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 (sqrt.f32 (/.f32 u1 (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 #s(literal -1 binary32)))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 #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) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) #s(approx (neg (/ ( u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (/.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(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (sqrt.f32 (.f32 u1 (*.f32 u1 u1))) #s(literal -1/2 binary32) (sqrt.f32 u1)) u1)))
(.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 (sqrt.f32 (/.f32 u1 (fma.f32 (/.f32 #s(literal -1 binary32) (fma.f32 u1 u1 #s(literal 1 binary32))) (+.f32 u1 #s(literal -1 binary32)) (neg.f32 (/.f32 (.f32 u1 u1) (+.f32 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.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)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(/.f32 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (/.f32 #s(literal 1 binary32) (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 (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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (.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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) #s(approx (sqrt (+ (/ 1 u1) -1)) (/.f32 (fma.f32 (.f32 u1 u1) (fma.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) u1)) #s(literal -1/2 binary32) (*.f32 (sqrt.f32 u1) #s(literal -1/8 binary32))) (sqrt.f32 u1)) u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 u1 u1)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u1))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 u1 (.f32 (/.f32 (+.f32 u1 #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (.f32 u1 (.f32 u1 u1)))) (/.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u1 u1 u1))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 (/.f32 (-.f32 (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 u1 (+.f32 #s(literal -1 binary32) (.f32 u1 (.f32 u1 u1)))))) (.f32 (+.f32 u1 #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 u1 (fma.f32 u1 u1 #s(literal 1 binary32))))))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 (/.f32 (neg.f32 (fma.f32 u1 u1 #s(literal -1 binary32))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32)))) (.f32 #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.f32 u1)))))) (sqrt.f32 (-.f32 (/.f32 (+.f32 u1 #s(literal 1 binary32)) (fma.f32 u1 u1 #s(literal 1 binary32))) #s(approx (neg (/ (* u1 u1) (+ u1 1))) (neg.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 -1/2 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 (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 u1 #s(literal -1/2 binary32)) (pow.f32 u1 #s(literal -1/2 binary32)) #s(literal -1 binary32)))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(exp.f32 (.f32 (log.f32 (/.f32 (sqrt.f32 #s(approx (+ (/ 1 u1) -1) (/.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))) #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)))
(.f32 (.f32 (pow.f32 (/.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (.f32 (.f32 u1 u1) (fma.f32 u1 u1 #s(literal 1 binary32)))) #s(literal -1/2 binary32)) (pow.f32 (fma.f32 u1 u1 u1) #s(literal -1/2 binary32))) (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (pow.f32 (exp.f32 #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 (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 (sqrt.f32 (/.f32 (+.f32 (pow.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (-.f32 (.f32 (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))) (.f32 (.f32 (fma.f32 u1 u1 #s(literal 1 binary32)) (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32)))) (.f32 u1 (/.f32 u1 (fma.f32 u1 (.f32 u1 u1) #s(literal 1 binary32))))))))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs

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

Calls

8 calls:

50.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
42.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
40.0ms	u1
39.0ms	cosTheta_i
39.0ms	(/.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)

regimes332.0ms (2.4%)

Memory

4.1MiB live, 418.9MiB allocated

Counts

98 → 1

Calls

Call 1

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

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:

120.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
44.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
31.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
28.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
27.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
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	`cosTheta_i`
98.2%	1	`u1`
98.2%	1	`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)

regimes195.0ms (1.4%)

Memory

17.4MiB live, 371.9MiB allocated

Counts

90 → 1

Calls

Call 1

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

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

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)

regimes226.0ms (1.6%)

Memory

-62.7MiB live, 294.7MiB allocated

Counts

86 → 2

Calls

Call 1

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

Outputs

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

Calls

8 calls:

60.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
24.0ms	cosTheta_i
23.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
23.0ms	u2
23.0ms	u1

Results

Accuracy	Segments	Branch
92.6%	1	`cosTheta_i`
97.1%	2	`u1`
98.0%	2	`u2`
92.6%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
97.1%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
97.1%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
98.0%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes52.0ms (0.4%)

Memory

-9.2MiB live, 73.3MiB allocated

Counts

85 → 2

Calls

Call 1

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

Outputs

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

Calls

2 calls:

25.0ms	u2
23.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
97.3%	2	`u2`
97.3%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes168.0ms (1.2%)

Memory

22.1MiB live, 216.8MiB allocated

Counts

83 → 1

Calls

Call 1

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

Outputs

#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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)))))))

Calls

6 calls:

38.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
37.0ms	u2
23.0ms	u1
22.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
22.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
92.6%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
92.6%	1	`u1`
92.6%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.6%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.6%	1	`u2`
92.6%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes172.0ms (1.2%)

Memory

-0.9MiB live, 318.5MiB allocated

Counts

75 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
92.5%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.5%	1	`cosTheta_i`
92.5%	1	`u1`
92.5%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.5%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.5%	1	`u2`
92.5%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
92.5%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes184.0ms (1.3%)

Memory

14.6MiB live, 291.9MiB allocated

Counts

70 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

37.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
27.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
20.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
19.0ms	cosTheta_i

Results

Accuracy	Segments	Branch
92.4%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
92.4%	1	`u1`
92.4%	1	`u2`
92.4%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
92.4%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
92.4%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
92.4%	1	`cosTheta_i`
92.4%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes117.0ms (0.8%)

Memory

-6.5MiB live, 195.7MiB allocated

Counts

49 → 1

Calls

Call 1

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

Outputs

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

8 calls:

18.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
15.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
15.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
14.0ms	cosTheta_i
14.0ms	u1

Results

Accuracy	Segments	Branch
90.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.1%	1	`u1`
90.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
90.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
90.1%	1	`cosTheta_i`
90.1%	1	`u2`
90.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes95.0ms (0.7%)

Memory

-25.2MiB live, 172.2MiB allocated

Counts

38 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

14.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
12.0ms	cosTheta_i
12.0ms	u2
11.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
11.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Results

Accuracy	Segments	Branch
86.2%	1	`u1`
86.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.2%	1	`cosTheta_i`
86.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
90.1%	2	`u2`
89.4%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
90.1%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes85.0ms (0.6%)

Memory

11.5MiB live, 133.6MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

6 calls:

30.0ms	u1
12.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
12.0ms	u2
10.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
86.2%	1	`u1`
86.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
86.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
86.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
86.2%	1	`u2`
86.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes125.0ms (0.9%)

Memory

-7.6MiB live, 112.4MiB allocated

Counts

24 → 2

Calls

Call 1

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

Outputs

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

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

Calls

8 calls:

40.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
28.0ms	cosTheta_i
20.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
7.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
7.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
80.2%	1	`cosTheta_i`
84.4%	2	`u2`
84.4%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
80.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
84.0%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
84.5%	2	`u1`
84.5%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
84.5%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes73.0ms (0.5%)

Memory

7.0MiB live, 46.5MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

6 calls:

44.0ms	u2
6.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
6.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))
6.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))

Results

Accuracy	Segments	Branch
83.8%	2	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
83.8%	2	`u2`
83.8%	2	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
83.9%	2	`u1`
83.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 38 to 30 computations (21.1% saved)

regimes102.0ms (0.7%)

Memory

-11.5MiB live, 27.4MiB allocated

Counts

11 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms	u1
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))

Results

Accuracy	Segments	Branch
83.9%	2	`u1`
83.9%	2	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
83.9%	2	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 21 to 16 computations (23.8% saved)

regimes44.0ms (0.3%)

Memory

19.7MiB live, 58.6MiB allocated

Counts

10 → 1

Calls

Call 1

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

Outputs

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

Calls

8 calls:

18.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
4.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
4.0ms	u2
4.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
79.7%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
79.7%	1	`cosTheta_i`
79.7%	1	`u2`
79.7%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
79.7%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
79.7%	1	`u1`
79.7%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
79.7%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes47.0ms (0.3%)

Memory

-12.7MiB live, 32.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

8 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	cosTheta_i
3.0ms	u2
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)
3.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))

Results

Accuracy	Segments	Branch
75.1%	1	`cosTheta_i`
75.1%	1	`u1`
75.1%	1	`u2`
75.1%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
75.1%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
75.1%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`
75.1%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
75.1%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes33.0ms (0.2%)

Memory

-7.0MiB live, 30.6MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

8 calls:

14.0ms	cosTheta_i
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))
3.0ms	(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))
3.0ms	(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))
3.0ms	(*.f32 #s(literal 314159265359/50000000000 binary32) u2)

Results

Accuracy	Segments	Branch
72.9%	1	`cosTheta_i`
72.9%	1	`u2`
72.9%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
72.9%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
72.9%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
72.9%	1	`u1`
72.9%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
72.9%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

regimes13.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Accuracy

Total -14.3b remaining (-125.3%)

Threshold costs -14.3b (-125.3%)

Counts

2 → 1

Calls

Call 1

Inputs

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

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

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

Calls

8 calls:

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

Results

Accuracy	Segments	Branch
64.2%	1	`cosTheta_i`
64.2%	1	`u2`
64.2%	1	`(*.f32 #s(literal 314159265359/50000000000 binary32) u2)`
64.2%	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)))`
64.2%	1	`(sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2))`
64.2%	1	`u1`
64.2%	1	`(sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))`
64.2%	1	`(/.f32 u1 (-.f32 #s(literal 1 binary32) u1))`

Compiler

Compiled 56 to 44 computations (21.4% saved)

bsearch1.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.5945127606391907	0.6959577798843384

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	0.8122625946998596	0.8543368577957153

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.3384706676006317	0.37532052397727966

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.012782695703208447	0.01282129343599081

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005882166442461312	0.0005897876108065248

Compiler

Compiled 17 to 17 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0005882166442461312	0.0005897876108065248

Compiler

Compiled 17 to 17 computations (0% saved)

simplify44.0ms (0.3%)

Memory

-8.9MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

80×	`*-commutative_binary32`
28×	`+-commutative_binary32`
24×	`sub-neg_binary32`
16×	`neg-sub0_binary32`
16×	`neg-mul-1_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	757
1	170	757
2	180	756
3	194	756
4	202	756
5	214	756
6	227	756
7	232	756
8	234	756

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (-.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 (/.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 5033165/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 #s(approx (/ u1 (- 1 u1)) (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 7130317/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) #s(approx ( (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))))
#s(approx (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 13743895/1073741824 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.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 10118943/17179869184 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.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 10118943/17179869184 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (/.f32 (fma.f32 u1 u1 #s(literal -1 binary32)) #s(approx (- (neg u1) 1) (-.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 (/.f32 #s(literal 1 binary32) u1) #s(literal -1 binary32))))
(/.f32 (sin.f32 (*.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) u1))))
(.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 5033165/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 #s(approx (/ u1 (- 1 u1)) (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 5033165/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 7130317/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 7130317/8388608 binary32)) #s(approx ( (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (sin.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2)) (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 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 (-.f32 (.f32 u1 u1) #s(literal 1 binary32)) (-.f32 (neg.f32 u1) #s(literal 1 binary32))))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 (/.f32 u1 (/.f32 (+.f32 #s(literal -1 binary32) (.f32 u1 u1)) (-.f32 #s(literal -1 binary32) u1)))) #s(approx (sin (* 314159265359/50000000000 u2)) (.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 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 (fma.f32 (.f32 u2 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)))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.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)))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) #s(approx ( (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))) (.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin (* 314159265359/50000000000 u2)) (.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))))))
(if (<=.f32 (.f32 #s(literal 314159265359/50000000000 binary32) u2) #s(literal 11744051/33554432 binary32)) #s(approx ( (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))) (.f32 #s(approx (sin (* 314159265359/50000000000 u2)) (.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)))) #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1))))
#s(approx (* (/ 1 (sqrt (/ (- 1 u1) u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))) (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 13743895/1073741824 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.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 10118943/17179869184 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 u2 (.f32 u2 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32)) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.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 10118943/17179869184 binary32)) (.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (.f32 u2 (fma.f32 #s(literal -31006276680305942139213528068663279/750000000000000000000000000000000 binary32) (.f32 u2 u2) #s(literal 314159265359/50000000000 binary32))))) #s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1))))))))
#s(approx (* (sqrt (/ u1 (- 1 u1))) (sin (* 314159265359/50000000000 u2))) (.f32 u2 #s(approx (+ ( 314159265359/50000000000 (sqrt (/ u1 (- 1 u1)))) (* (* -31006276680305942139213528068663279/750000000000000000000000000000000 (* u2 u2)) (sqrt (/ u1 (- 1 u1))))) (*.f32 #s(literal 314159265359/50000000000 binary32) (sqrt.f32 (/.f32 u1 (-.f32 #s(literal 1 binary32) u1)))))))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 (sqrt.f32 #s(approx (/ u1 (- 1 u1)) (fma.f32 u1 u1 u1))) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))
(.f32 #s(approx (sqrt (/ u1 (- 1 u1))) (sqrt.f32 u1)) #s(approx (sin ( 314159265359/50000000000 u2)) (*.f32 #s(literal 314159265359/50000000000 binary32) u2)))

soundness2.1s (14.7%)

Memory

16.9MiB live, 1 047.1MiB allocated

Rules

17 094×	`lower-fma.f64`
17 094×	`lower-fma.f32`
11 708×	`lower-fma.f64`
11 708×	`lower-fma.f32`
11 320×	`lower-fma.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
0	543	5200
1	1658	4577
2	5116	4519
0	8401	4316
0	38	205
0	65	203
1	212	196
2	1485	196
0	8146	196
0	51	330
0	86	310
1	285	290
2	2064	284
0	9093	280
0	769	7425
1	2407	6664
2	7777	6646
0	8052	6313
0	10	32
0	16	32
1	46	32
2	237	32
3	1953	32
0	9692	32
0	471	5464
1	1434	5021
2	4369	4607
0	8371	4385

Stop Event

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

Compiler

Compiled 1 235 to 605 computations (51% saved)

preprocess126.0ms (0.9%)

Memory

-21.6MiB live, 294.6MiB allocated

Remove

(negabs u2)

(abs cosTheta_i)

Compiler

Compiled 1 296 to 418 computations (67.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	126	757
1	170	757
2	180	756
3	194	756
4	202	756
5	214	756
6	227	756
7	232	756
8	234	756

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

Iter	Nodes	Cost
0	126	757
1	170	757
2	180	756
3	194	756
4	202	756
5	214	756
6	227	756
7	232	756
8	234	756

analyze286.0ms (2%)

sample2.0s (14.5%)

preprocess69.0ms (0.5%)

explain167.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify7.0ms (0.1%)

localize51.0ms (0.4%)

series8.0ms (0.1%)

simplify436.0ms (3.1%)

rewrite258.0ms (1.8%)

eval80.0ms (0.6%)

prune102.0ms (0.7%)

simplify127.0ms (0.9%)

localize170.0ms (1.2%)

series22.0ms (0.2%)

simplify672.0ms (4.8%)

rewrite459.0ms (3.3%)

eval261.0ms (1.9%)

prune284.0ms (2%)

simplify317.0ms (2.3%)

localize183.0ms (1.3%)

series31.0ms (0.2%)

simplify445.0ms (3.2%)

rewrite308.0ms (2.2%)

eval200.0ms (1.4%)

prune307.0ms (2.2%)

simplify346.0ms (2.5%)

localize185.0ms (1.3%)

series16.0ms (0.1%)

simplify396.0ms (2.8%)

rewrite504.0ms (3.6%)

eval240.0ms (1.7%)

prune447.0ms (3.2%)

regimes326.0ms (2.3%)

regimes332.0ms (2.4%)

regimes195.0ms (1.4%)

regimes226.0ms (1.6%)

regimes52.0ms (0.4%)

regimes168.0ms (1.2%)

regimes172.0ms (1.2%)

regimes184.0ms (1.3%)

regimes117.0ms (0.8%)

regimes95.0ms (0.7%)

regimes85.0ms (0.6%)

regimes125.0ms (0.9%)

regimes73.0ms (0.5%)

regimes102.0ms (0.7%)

regimes44.0ms (0.3%)

regimes47.0ms (0.3%)

regimes33.0ms (0.2%)

regimes13.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify44.0ms (0.3%)

soundness2.1s (14.7%)

preprocess126.0ms (0.9%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	126	757
1	170	757
2	180	756
3	194	756
4	202	756
5	214	756
6	227	756
7	232	756
8	234	756